College Science and Mathematics Teaching Faculty Talk about Science and Mathematics: An Examination of the Role of Discourse in an Upper Elementary/Middle-Level Teacher Preparation Program.

ERIC Educational Resources Information Center

McGinnis, J. Randy; Watanabe, Tad

This research employs a mixed theoretical perspective drawing on elements from interactionism and social constructivism. In this study, a discourse analysis is performed on conversations among intra- and inter-institutional mathematics and science teaching faculty participating in reforming content classes for teacher candidates in the Maryland…

Interactive, Learner-Centered Methods of Teaching Mathematics

ERIC Educational Resources Information Center

Alsardary, Salar; Blumberg, Phyllis

2009-01-01

We describe a learner-centered upper-level mathematics course where the students present the material to the class instead of the instructor, and the students make presentations on applied topics at the regional MAA meeting. After take-home examinations the students can discuss their answers one-on-one with the instructor. The students liked the…

Investigating Graphical Representations of Slope and Derivative without a Physics Context

ERIC Educational Resources Information Center

Christensen, Warren M.; Thompson, John R.

2012-01-01

By analysis of student use of mathematics in responses to conceptual physics questions, as well as analogous math questions stripped of physical meaning, we have previously found evidence that students often enter upper-level physics courses lacking the assumed prerequisite mathematics knowledge and/or the ability to apply it productively in a…

Sex differences in intrinsic aptitude for mathematics and science?: a critical review.

PubMed

Spelke, Elizabeth S

2005-12-01

This article considers 3 claims that cognitive sex differences account for the differential representation of men and women in high-level careers in mathematics and science: (a) males are more focused on objects from the beginning of life and therefore are predisposed to better learning about mechanical systems; (b) males have a profile of spatial and numerical abilities producing greater aptitude for mathematics; and (c) males are more variable in their cognitive abilities and therefore predominate at the upper reaches of mathematical talent. Research on cognitive development in human infants, preschool children, and students at all levels fails to support these claims. Instead, it provides evidence that mathematical and scientific reasoning develop from a set of biologically based cognitive capacities that males and females share. These capacities lead men and women to develop equal talent for mathematics and science.

Catalysts of Women's Talent Development in STEM: A Systematic Review

ERIC Educational Resources Information Center

Mullet, Dianna R.; Rinn, Anne N.; Kettler, Todd

2017-01-01

Numbers of women in the physical sciences, mathematics, and engineering are growing, yet women are still far outnumbered by men at upper levels of those fields. The purpose of the study is to review the literature on academic women who develop exceptional talent in science, technology, engineering, and mathematics (STEM). Data sources included 18…

Improving Student Motivation and Engagement in Mathematics through One-to-One Interactions

ERIC Educational Resources Information Center

Way, Jennifer; Reece, Amelia; Bobis, Janette; Anderson, Judy; Martin, Andrew

2015-01-01

The phenomenon of the "middle-years dip" in mathematics engagement and achievement has been a cause of concern for over a decade. This paper presents an example of one upper-primary classroom identified as having higher than average levels of student engagement, with the purpose of documenting specific teaching strategies that align with…

Throw Away Your Mathematical Handbook! Undergraduate Physics with Wolfram|Alpha, a FREE(!) Internet-Based Mathematical Engine

NASA Astrophysics Data System (ADS)

Looney, Craig W.

2009-10-01

Wolfram|Alpha (http://www.wolframalpha.com/), a free internet-based mathematical engine released earlier this year, represents an orders-of magnitude advance in mathematical power freely available - without money, passwords, or downloads - on the web. Wolfram|Alpha is based on Mathematica, so it can plot functions, take derivatives, solve systems of equations, perform symbolic and numerical integration, and more. These capabilities (especially plotting and integration) will be explored in the context of topics covered in upper level undergraduate physics courses.

Coupled Pendulums: A Physical System for Laboratory Investigations at Upper Secondary School

ERIC Educational Resources Information Center

Picciarelli, Vittorio; Stella, Rosa

2010-01-01

The topic of coupled oscillations is rich in physical content which is both interesting and complex. The study of the time evolution of coupled oscillator systems involves a mathematical formalization beyond the level of the upper secondary school student's competence. Here, we present an original approach, suitable even for secondary students, to…

Mathematics and Science Choice Following Introduction of Compulsory Study Profiles into Dutch Secondary Education

ERIC Educational Resources Information Center

van Langen, Annemarie; Rekers-Mombarg, Lyset; Dekkers, Hetty

2008-01-01

Since 1998, upper level secondary education pupils in the Netherlands are required to choose one of four study profiles with their own specific and fixed combinations of final examination subjects. With the aid of multilevel analyses, the extent to which this situation has led to changes in the determinants of mathematics and science choice (i.e.…

Problem solving in the borderland between mathematics and physics

NASA Astrophysics Data System (ADS)

Jensen, Jens Højgaard; Niss, Martin; Jankvist, Uffe Thomas

2017-01-01

The article addresses the problématique of where mathematization is taught in the educational system, and who teaches it. Mathematization is usually not a part of mathematics programs at the upper secondary level, but we argue that physics teaching has something to offer in this respect, if it focuses on solving so-called unformalized problems, where a major challenge is to formalize the problems in mathematics and physics terms. We analyse four concrete examples of unformalized problems for which the formalization involves different order of mathematization and applying physics to the problem, but all require mathematization. The analysis leads to the formulation of a model by which we attempt to capture the important steps of the process of solving unformalized problems by means of mathematization and physicalization.

Effect of Improvised Instructional Materials on Students' Achievement in Geometry at the Upper Basic Education Level in Makurdi Metropolis, Benue State, Nigeria

ERIC Educational Resources Information Center

Iji, C. O.; Ogbole, P. O.; Uka, N. K.

2014-01-01

Among all approaches aimed at reducing poor mathematics achievement among the students, adoption of appropriate methods of teaching appears to be more rewarding. In this study, improvised instructional materials were used to ascertain students' geometry achievement at the upper basic education one. Two research questions were asked with associated…

Improving Student Motivation in Secondary Mathematics by the Use of Cooperative Learning.

ERIC Educational Resources Information Center

Bouris, Randy; Creel, Holly; Stortz, Barry

This report examines the problem of a lack of motivation in secondary mathematics students. A large percentage of our students view upper level math courses as only a means to an end. They lack self motivation and are driven by either parental concerns or the desire to score well on college entrance exams. They see very little transfer from the…

Problem Solving in Swedish Mathematics Textbooks for Upper Secondary School

ERIC Educational Resources Information Center

Brehmer, Daniel; Ryve, Andreas; Van Steenbrugge, Hendrik

2016-01-01

The aim of this study is to analyse how mathematical problem solving is represented in mathematical textbooks for Swedish upper secondary school. The analysis comprises dominating Swedish textbook series, and relates to uncovering (a) the quantity of tasks that are actually mathematical problems, (b) their location in the chapter, (c) their…

Reality-Theoretical Models-Mathematics: A Ternary Perspective on Physics Lessons in Upper-Secondary School

ERIC Educational Resources Information Center

Hansson, Lena; Hansson, Örjan; Juter, Kristina; Redfors, Andreas

2015-01-01

This article discusses the role of mathematics during physics lessons in upper-secondary school. Mathematics is an inherent part of theoretical models in physics and makes powerful predictions of natural phenomena possible. Ability to use both theoretical models and mathematics is central in physics. This paper takes as a starting point that the…

Consumer Education for Kindergarten through Grade 8.

ERIC Educational Resources Information Center

Illinois State Office of Education, Springfield. Div. of Program Planning and Development.

This guide is intended to assist school administrative personnel in the integration of consumer education into the curriculum at the elementary level and to assist teachers in planning and implementing consumer education concepts at the primary, intermediate, and upper elementary levels in language arts, mathematics, science, and social studies…

Review of Student Difficulties in Upper-Level Quantum Mechanics

ERIC Educational Resources Information Center

Singh, Chandralekha; Marshman, Emily

2015-01-01

Learning advanced physics, in general, is challenging not only due to the increased mathematical sophistication but also because one must continue to build on all of the prior knowledge acquired at the introductory and intermediate levels. In addition, learning quantum mechanics can be especially challenging because the paradigms of classical…

"My Favourite Subject Is Maths. For Some Reason No-One Really Agrees with Me": Student Perspectives of Mathematics Teaching and Learning in the Upper Primary Classroom

ERIC Educational Resources Information Center

Attard, Catherine

2011-01-01

The levels of engagement in mathematics experienced by students during the middle years of schooling (Years 5 to 8 in New South Wales) has been of concern in Australia for some years. Lowered engagement in school has been attributed to factors such as inappropriate teaching strategies, curricula that is unchallenging and irrelevant, and cultural…

Swedish Upper Secondary Students' Perspectives on the Typical Mathematics Lesson

ERIC Educational Resources Information Center

Andrews, Paul; Larson, Niclas

2017-01-01

This paper presents a group interview study of Swedish upper secondary students' perspectives on the typical mathematics lesson. Students, from four demographically different schools, constructed a collective synthesis of their many years' experience of mathematics classrooms. Transcriptions were subjected to a constant comparison analysis, which…

Hierarchical analytical and simulation modelling of human-machine systems with interference

NASA Astrophysics Data System (ADS)

Braginsky, M. Ya; Tarakanov, D. V.; Tsapko, S. G.; Tsapko, I. V.; Baglaeva, E. A.

2017-01-01

The article considers the principles of building the analytical and simulation model of the human operator and the industrial control system hardware and software. E-networks as the extension of Petri nets are used as the mathematical apparatus. This approach allows simulating complex parallel distributed processes in human-machine systems. The structural and hierarchical approach is used as the building method for the mathematical model of the human operator. The upper level of the human operator is represented by the logical dynamic model of decision making based on E-networks. The lower level reflects psychophysiological characteristics of the human-operator.

Make It Metric.

ERIC Educational Resources Information Center

Camilli, Thomas

Measurement is perhaps the most frequently used form of mathematics. This book presents activities for learning about the metric system designed for upper intermediate and junior high levels. Discussions include: why metrics, history of metrics, changing to a metric world, teaching tips, and formulas. Activities presented are: metrics all around…

"Boys Press All the Buttons and Hope It Will Help": Upper Secondary School Teachers' Gendered Conceptions about Students' Mathematical Reasoning

ERIC Educational Resources Information Center

Sumpter, Lovisa

2016-01-01

Previous results show that Swedish upper secondary school teachers attribute gender to cases describing different types of mathematical reasoning. The purpose of this study was to investigate how these teachers gender stereotype aspects of students' mathematical reasoning by studying the symbols that were attributed to boys and girls,…

Math Process Standards Series, Grades 3-5

ERIC Educational Resources Information Center

O'Connell, Susan, Ed.

2008-01-01

NCTM's Process Standards support teaching that helps upper elementary level children develop independent, effective mathematical thinking. The books in the Heinemann Math Process Standards Series give every intermediate-grades teacher the opportunity to explore each standard in depth. With language and examples that don't require prior math…

Bounded Partial Sums?

ERIC Educational Resources Information Center

Brilleslyper, Michael A.; Wolverton, Robert H.

2008-01-01

In this article we consider an example suitable for investigation in many mid and upper level undergraduate mathematics courses. Fourier series provide an excellent example of the differences between uniform and non-uniform convergence. We use Dirichlet's test to investigate the convergence of the Fourier series for a simple periodic saw tooth…

Predicting academic self-handicapping in different age groups: the role of personal achievement goals and social goals.

PubMed

Leondari, Angeliki; Gonida, Eleftheria

2007-09-01

Academic self-handicapping refers to the use of impediments to successful performance on academic tasks. Previous studies have shown that it is related to personal achievement goals. A performance goal orientation is a positive predictor of self-handicapping, whereas a task goal orientation is unrelated to self-handicapping. The aim of this study was to examine the relationship between academic self-handicapping, goal orientations (task, performance-approach, performance-avoidance), social goals, future consequences and achievement in mathematics. An additional aim was to investigate grade-level and gender differences in relation to academic self-handicapping. Participants were 702 upper elementary, junior and senior high school students with approximately equal numbers of girls and boys. There were no grade-level or gender differences as regards the use of self-handicapping. The correlations among the variables revealed that, when the whole sample was considered, self-handicapping was positively related to performance goal orientations and pleasing significant others and negatively to achievement in mathematics. The results of hierarchical regression analysis showed that, in upper elementary and junior high schools, the association between achievement in mathematics and self-handicapping was mediated by performance-avoidance goals. In senior high school, only task goal orientation was a negative predictor of self-handicapping.

What Is the Probability You Are a Bayesian?

ERIC Educational Resources Information Center

Wulff, Shaun S.; Robinson, Timothy J.

2014-01-01

Bayesian methodology continues to be widely used in statistical applications. As a result, it is increasingly important to introduce students to Bayesian thinking at early stages in their mathematics and statistics education. While many students in upper level probability courses can recite the differences in the Frequentist and Bayesian…

Theoretical foundations of spatially-variant mathematical morphology part ii: gray-level images.

PubMed

Bouaynaya, Nidhal; Schonfeld, Dan

2008-05-01

In this paper, we develop a spatially-variant (SV) mathematical morphology theory for gray-level signals and images in the Euclidean space. The proposed theory preserves the geometrical concept of the structuring function, which provides the foundation of classical morphology and is essential in signal and image processing applications. We define the basic SV gray-level morphological operators (i.e., SV gray-level erosion, dilation, opening, and closing) and investigate their properties. We demonstrate the ubiquity of SV gray-level morphological systems by deriving a kernel representation for a large class of systems, called V-systems, in terms of the basic SV graylevel morphological operators. A V-system is defined to be a gray-level operator, which is invariant under gray-level (vertical) translations. Particular attention is focused on the class of SV flat gray-level operators. The kernel representation for increasing V-systems is a generalization of Maragos' kernel representation for increasing and translation-invariant function-processing systems. A representation of V-systems in terms of their kernel elements is established for increasing and upper-semi-continuous V-systems. This representation unifies a large class of spatially-variant linear and non-linear systems under the same mathematical framework. Finally, simulation results show the potential power of the general theory of gray-level spatially-variant mathematical morphology in several image analysis and computer vision applications.

Pattern Formation

NASA Astrophysics Data System (ADS)

Hoyle, Rebecca

2006-03-01

From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena has been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, engaging, and fully illustrated resource for readers in physics and biology, Rebecca Hoyle's book, using a non-partisan approach, unifies a range of techniques used by active researchers in this growing field. Accessible description of the mathematical theory behind fascinating pattern formation in areas such as biology, physics and materials science Collects recent research for the first time in an upper level textbook Features a number of exercises - with solutions online - and worked examples

Motivation and engagement in mathematics: a qualitative framework for teacher-student interactions

NASA Astrophysics Data System (ADS)

Durksen, Tracy L.; Way, Jennifer; Bobis, Janette; Anderson, Judy; Skilling, Karen; Martin, Andrew J.

2017-02-01

We started with a classic research question (How do teachers motivate and engage middle year students in mathematics?) that is solidly underpinned and guided by an integration of two theoretical and multidimensional models. In particular, the current study illustrates how theory is important for guiding qualitative analytical approaches to motivation and engagement in mathematics. With little research on how teachers of mathematics are able to maintain high levels of student motivation and engagement, we focused on developing a qualitative framework that highlights the influence of teacher-student interactions. Participants were six teachers (upper primary and secondary) that taught students with higher-than-average levels of motivation and engagement in mathematics. Data sources included one video-recorded lesson and associated transcripts from pre- and post-lesson interviews with each teacher. Overall, effective classroom organisation stood out as a priority when promoting motivation and engagement in mathematics. Results on classroom organisation revealed four key indicators within teacher-student interactions deemed important for motivation and engagement in mathematics—confidence, climate, contact, and connection. Since much of the effect of teachers on student learning relies on interactions, and given the universal trend of declining mathematical performance during the middle years of schooling, future research and intervention studies might be assisted by our qualitative framework.

An epistemic framing analysis of upper level physics students' use of mathematics

NASA Astrophysics Data System (ADS)

Bing, Thomas Joseph

Mathematics is central to a professional physicist's work and, by extension, to a physics student's studies. It provides a language for abstraction, definition, computation, and connection to physical reality. This power of mathematics in physics is also the source of many of the difficulties it presents students. Simply put, many different activities could all be described as "using math in physics". Expertise entails a complicated coordination of these various activities. This work examines the many different kinds of thinking that are all facets of the use of mathematics in physics. It uses an epistemological lens, one that looks at the type of explanation a student presently sees as appropriate, to analyze the mathematical thinking of upper level physics undergraduates. Sometimes a student will turn to a detailed calculation to produce or justify an answer. Other times a physical argument is explicitly connected to the mathematics at hand. Still other times quoting a definition is seen as sufficient, and so on. Local coherencies evolve in students' thought around these various types of mathematical justifications. We use the cognitive process of framing to model students' navigation of these various facets of math use in physics. We first demonstrate several common framings observed in our students' mathematical thought and give several examples of each. Armed with this analysis tool, we then give several examples of how this framing analysis can be used to address a research question. We consider what effects, if any, a powerful symbolic calculator has on students' thinking. We also consider how to characterize growing expertise among physics students. Framing offers a lens for analysis that is a natural fit for these sample research questions. To active physics education researchers, the framing analysis presented in this dissertation can provide a useful tool for addressing other research questions. To physics teachers, we present this analysis so that it may make them more explicitly aware of the various types of reasoning, and the dynamics among them, that students employ in our physics classes. This awareness will help us better hear students' arguments and respond appropriately.

Investigation of the computer experiences and attitudes of pre-service mathematics teachers: new evidence from Turkey.

PubMed

Birgin, Osman; Catlioğlu, Hakan; Gürbüz, Ramazan; Aydin, Serhat

2010-10-01

This study aimed to investigate the experiences of pre-service mathematics (PSM) teachers with computers and their attitudes toward them. The Computer Attitude Scale, Computer Competency Survey, and Computer Use Information Form were administered to 180 Turkish PSM teachers. Results revealed that most PSM teachers used computers at home and at Internet cafes, and that their competency was generally intermediate and upper level. The study concludes that PSM teachers' attitudes about computers differ according to their years of study, computer ownership, level of computer competency, frequency of computer use, computer experience, and whether they had attended a computer-aided instruction course. However, computer attitudes were not affected by gender.

Understanding Introductory Students' Application of Integrals in Physics from Multiple Perspectives

ERIC Educational Resources Information Center

Hu, Dehui

2013-01-01

Calculus is used across many physics topics from introductory to upper-division level college courses. The concepts of differentiation and integration are important tools for solving real world problems. Using calculus or any mathematical tool in physics is much more complex than the straightforward application of the equations and algorithms that…

How Personal, Behavioral, and Environmental Factors Predict Working in STEMM vs Non-STEMM Middle-Skill Careers

ERIC Educational Resources Information Center

Cannady, Matthew A.; Moore, Debra; Votruba-Drzal, Elizabeth; Greenwald, Eric; Stites, Regie; Schunn, Christian D.

2017-01-01

Background: Much of science, technology, engineering, mathematics, and medical (STEMM) education policy and research centers around developing the upper levels of the STEMM workforce sector. However, there are many positions in this workforce, "middle-skill careers," that are largely responsible for executing the innovations and are…

Monograph - The Numerical Integration of Ordinary Differential Equations.

ERIC Educational Resources Information Center

Hull, T. E.

The materials presented in this monograph are intended to be included in a course on ordinary differential equations at the upper division level in a college mathematics program. These materials provide an introduction to the numerical integration of ordinary differential equations, and they can be used to supplement a regular text on this…

Student learning of upper-level thermal and statistical physics: The derivation and use of the Boltzmann factor

NASA Astrophysics Data System (ADS)

Thompson, John

2015-04-01

As the Physical Review Focused Collection demonstrates, recent frontiers in physics education research include systematic investigations at the upper division. As part of a collaborative project, we have examined student understanding of several topics in upper-division thermal and statistical physics. A fruitful context for research is the Boltzmann factor in statistical mechanics: the standard derivation involves several physically justified mathematical steps as well as the invocation of a Taylor series expansion. We have investigated student understanding of the physical significance of the Boltzmann factor as well as its utility in various circumstances, and identified various lines of student reasoning related to the use of the Boltzmann factor. Results from written data as well as teaching interviews suggest that many students do not use the Boltzmann factor when answering questions related to probability in applicable physical situations, even after lecture instruction. We designed an inquiry-based tutorial activity to guide students through a derivation of the Boltzmann factor and to encourage deep connections between the physical quantities involved and the mathematics. Observations of students working through the tutorial suggest that many students at this level can recognize and interpret Taylor series expansions, but they often lack fluency in creating and using Taylor series appropriately, despite previous exposure in both calculus and physics courses. Our findings also suggest that tutorial participation not only increases the prevalence of relevant invocation of the Boltzmann factor, but also helps students gain an appreciation of the physical implications and meaning of the mathematical formalism behind the formula. Supported in part by NSF Grants DUE-0817282, DUE-0837214, and DUE-1323426.

Estimating formation properties from early-time oscillatory water levels in a pumped well

USGS Publications Warehouse

Shapiro, A.M.; Oki, D.S.

2000-01-01

Hydrologists often attempt to estimate formation properties from aquifer tests for which only the hydraulic responses in a pumped well are available. Borehole storage, turbulent head losses, and borehole skin, however, can mask the hydraulic behavior of the formation inferred from the water level in the pumped well. Also, in highly permeable formations or in formations at significant depth below land surface, where there is a long column of water in the well casing, oscillatory water levels may arise during the onset of pumping to further mask formation responses in the pumped well. Usually borehole phenomena are confined to the early stages of pumping or recovery, and late-time hydraulic data can be used to estimate formation properties. In many instances, however, early-time hydraulic data provide valuable information about the formation, especially if there are interferences in the late-time data. A mathematical model and its Laplace transform solution that account for inertial influences and turbulent head losses during pumping is developed for the coupled response between the pumped borehole and the formation. The formation is assumed to be homogeneous, isotropic, of infinite areal extent, and uniform thickness, with leakage from an overlying aquifer, and the screened or open interval of the pumped well is assumed to fully penetrate the pumped aquifer. Other mathematical models of aquifer flow can also be coupled with the equations describing turbulent head losses and the inertial effects on the water column in the pumped well. The mathematical model developed in this paper is sufficiently general to consider both underdamped conditions for which oscillations arise, and overdamped conditions for which there are no oscillations. Through numerical inversion of the Laplace transform solution, type curves from the mathematical model are developed to estimate formation properties through comparison with the measured hydraulic response in the pumped well. The mathematical model is applied to estimate formation properties from a singlewell test conducted near Waialua, Oahu, Hawaii. At this site, both the drawdown and recovery showed oscillatory water levels in the pumped well, and a step-drawdown test showed that approximately 86% of the drawdown is attributed to turbulent head losses. Analyses at this site using late-time drawdown data were confounded by the noise present in the measured water levels due primarily to nearby irrigation wells and ocean tides. By analyzing the early-time oscillatory recovery data at the Waialua site, upper and lower bounds were placed on the transmissivity, T, storage coefficient, S, and the leakance of the confining unit, K′/B′. The upper and lower bounds on T differ by a factor of 2. Upper and lower bounds on S and K′/B′ are much larger, because drawdown stabilized relatively quickly after the onset of pumping.

Time allocated to mathematics in post-primary schools in Ireland: are we in double trouble?

NASA Astrophysics Data System (ADS)

O'Meara, Niamh; Prendergast, Mark

2018-05-01

Mathematics educators and legislators worldwide have begun placing a greater emphasis on teaching mathematics for understanding and through the use of real-life applications. Revised curricula have led to the time allocated to mathematics in effected countries being scrutinised. This has resulted in policy-makers and educationalists worldwide calling for the inclusion of double class periods on the mathematics timetable. Research from the United States suggests that the introduction of double or block periods allow for the objectives of revised curricula to be realized. The aim of this study, which is set in the school context, is first to ascertain if schools in Ireland are scheduling double periods for mathematics at both lower post-primary level (Junior Cycle) and upper post-primary level (Senior Cycle). It also seeks to determine if there is a link between teachers' levels of satisfaction with the time allocated to mathematics and the provision of double periods and to get insights from teachers in relation to their opinions on what can be achieved through the introduction of such classes. Questionnaires were sent to 400 post-primary schools (approximately 1600 teachers) which were selected using stratified sampling techniques. It was found that 8.7% of mathematics teachers reported the provision of double periods at Junior Cycle while 55% reported that double periods were included on their timetable at Senior Cycle. The study also identified a link between teachers' levels of satisfaction with the time allocated to mathematics and the provision of double periods. Finally, teachers felt that double periods allowed for new teaching methodologies, which were promoted by the revised curricula, to be implemented and teaching for understanding was also more feasible. In essence, it was found that double periods have an influence on the mathematical experience of post-primary students as well as the teaching approaches employed.

Investigating Upper Secondary School Teachers' Conceptions: Is Mathematical Reasoning Considered Gendered?

ERIC Educational Resources Information Center

Sumpter, Lovisa

2016-01-01

This study examines Swedish upper secondary school teachers' gendered conceptions about students' mathematical reasoning: whether reasoning was considered gendered and, if so, which type of reasoning was attributed to girls and boys. The sample consisted of 62 teachers from six different schools from four different locations in Sweden. The results…

Facilitating mathematics learning for students with upper extremity disabilities using touch-input system.

PubMed

Choi, Kup-Sze; Chan, Tak-Yin

2015-03-01

To investigate the feasibility of using tablet device as user interface for students with upper extremity disabilities to input mathematics efficiently into computer. A touch-input system using tablet device as user interface was proposed to assist these students to write mathematics. User-switchable and context-specific keyboard layouts were designed to streamline the input process. The system could be integrated with conventional computer systems only with minor software setup. A two-week pre-post test study involving five participants was conducted to evaluate the performance of the system and collect user feedback. The mathematics input efficiency of the participants was found to improve during the experiment sessions. In particular, their performance in entering trigonometric expressions by using the touch-input system was significantly better than that by using conventional mathematics editing software with keyboard and mouse. The participants rated the touch-input system positively and were confident that they could operate at ease with more practice. The proposed touch-input system provides a convenient way for the students with hand impairment to write mathematics and has the potential to facilitate their mathematics learning. Implications for Rehabilitation Students with upper extremity disabilities often face barriers to learning mathematics which is largely based on handwriting. Conventional computer user interfaces are inefficient for them to input mathematics into computer. A touch-input system with context-specific and user-switchable keyboard layouts was designed to improve the efficiency of mathematics input. Experimental results and user feedback suggested that the system has the potential to facilitate mathematics learning for the students.

Mathematical Modeling in Systems for Operational Evaluation of the Stress-Strain State of the Arch-Gravity Dam at the Sayano-Shushenskaya Hydroelectric Power Plant

DOE Office of Scientific and Technical Information (OSTI.GOV)

Bellendir, E. N.; Gordon, L. A., E-mail: lev-gordon@mail.ru; Khrapkov, A. A.

Current studies of the stress-strain state of the dam at the Sayano-Shushenskaya Hydroelectric Power Plant at VNIIG based on mathematical modeling including full scale and experimental data are described. Applications and programs intended for automatic operational evaluation of the stress-strain state of the dam for optimizing control of the upper race level in the course of the annual filling-drawdown cycle and during seismic events are examined. Improvements in systems for monitoring the stress-strain state of concrete dams are proposed.

Why So Few? Women in Science, Technology, Engineering, and Mathematics

ERIC Educational Resources Information Center

Hill, Catherine; Corbett, Christianne; St. Rose, Andresse

2010-01-01

The number of women in science and engineering is growing, yet men continue to outnumber women, especially at the upper levels of these professions. In elementary, middle, and high school, girls and boys take math and science courses in roughly equal numbers, and about as many girls as boys leave high school prepared to pursue science and…

Unvorgreifliche Gedanken, betreffend die Ausuebung und Verbesserung des Uebersetzungsunterrichts Englisch-Deutsch. (Modest Thoughts on the Use and Improvement of Training in Translation -- English to German).

ERIC Educational Resources Information Center

Haber, Bernd K.

1978-01-01

Surveys current practice in teaching translation and finds it faulty. An almost mathematical model of translation strategy is suggested for upper-level students of English who can use a monolingual dictionary. Two sample texts for testing the model are appended. (IFS/WGA)

Upper Primary School Teachers' Mathematical Knowledge for Teaching Functional Thinking in Algebra

ERIC Educational Resources Information Center

Wilkie, Karina J.

2014-01-01

This article is based on a project that investigated teachers' knowledge in teaching an important aspect of algebra in the middle years of schooling--functions, relations and joint variation. As part of the project, 105 upper primary teachers were surveyed during their participation in Contemporary Teaching and Learning of Mathematics, a research…

Mathematical Reasoning Requirements in Swedish National Physics Tests

ERIC Educational Resources Information Center

Johansson, Helena

2016-01-01

This paper focuses on one aspect of mathematical competence, namely mathematical reasoning, and how this competency influences students' knowing of physics. This influence was studied by analysing the mathematical reasoning requirements upper secondary students meet when solving tasks in national physics tests. National tests are constructed to…

"I Finally Get It!": Developing Mathematical Understanding during Teacher Education

ERIC Educational Resources Information Center

Holm, Jennifer; Kajander, Ann

2012-01-01

A deep conceptual understanding of elementary mathematics as appropriate for teaching is increasingly thought to be an important aspect of elementary teacher capacity. This study explores preservice teachers' initial mathematical understandings and how these understandings developed during a mathematics methods course for upper elementary…

Improving the Ability of Mathematic Representation Capabilities and Students Skills in Importing Square Forms to Square Using Variation Solutions

NASA Astrophysics Data System (ADS)

Nirawati, R.

2018-04-01

This research was conducted to see whether the variation of the solution is acceptable and easy to understand by students with different level of ability so that it can be seen the difference of students ability in facilitating the quadratic form in the upper, middle and lower groups. This research used experimental method with factorial design. Based on the result of final test analysis, there were differences of students ability in upper group, medium group, and lower group in putting squared form based on the use certain variation of solution.

Mathematical Modeling Is Also Physics--Interdisciplinary Teaching between Mathematics and Physics in Danish Upper Secondary Education

ERIC Educational Resources Information Center

Michelsen, Claus

2015-01-01

Mathematics plays a crucial role in physics. This role is brought about predominantly through the building, employment, and assessment of mathematical models, and teachers and educators should capture this relationship in the classroom in an effort to improve students' achievement and attitude in both physics and mathematics. But although there…

Freedom Quilts: Mathematics on the Underground Railroad

ERIC Educational Resources Information Center

Neumann, Maureen D.

2005-01-01

A mathematics activity is presented which is a lesson frequently taught to upper elementary school students. It helps the students to see the connection of mathematics with a real-world activity, appreciate the mathematical knowledge required of quilt makers, reinforce their knowledge of the geometrical properties of different shapes and bring…

Introducing Statistical Research to Undergraduate Mathematical Statistics Students Using the Guitar Hero Video Game Series

ERIC Educational Resources Information Center

Ramler, Ivan P.; Chapman, Jessica L.

2011-01-01

In this article we describe a semester-long project, based on the popular video game series Guitar Hero, designed to introduce upper-level undergraduate statistics students to statistical research. Some of the goals of this project are to help students develop statistical thinking that allows them to approach and answer open-ended research…

Mathematical sense-making in quantum mechanics: An initial peek

NASA Astrophysics Data System (ADS)

Dreyfus, Benjamin W.; Elby, Andrew; Gupta, Ayush; Sohr, Erin Ronayne

2017-12-01

Mathematical sense-making—looking for coherence between the structure of the mathematical formalism and causal or functional relations in the world—is a core component of physics expertise. Some physics education research studies have explored what mathematical sense-making looks like at the introductory physics level, while some historians and "science studies" have explored how expert physicists engage in it. What is largely missing, with a few exceptions, is theoretical and empirical work at the intermediate level—upper division physics students—especially when they are learning difficult new mathematical formalism. In this paper, we present analysis of a segment of video-recorded discussion between two students grappling with a quantum mechanics question to illustrate what mathematical sense-making can look like in quantum mechanics. We claim that mathematical sense-making is possible and productive for learning and problem solving in quantum mechanics. Mathematical sense-making in quantum mechanics is continuous in many ways with mathematical sense-making in introductory physics. However, in the context of quantum mechanics, the connections between formalism, intuitive conceptual schema, and the physical world become more compound (nested) and indirect. We illustrate these similarities and differences in part by proposing a new symbolic form, eigenvector eigenvalue, which is composed of multiple primitive symbolic forms.

Influence of Difficulty with Language of Mathematics on Perceived Self-Efficacy in Learning Mathematics among Upper Primary Students of Kerala

ERIC Educational Resources Information Center

Sarabi, M. K.; Gafoor, K. Abdul

2017-01-01

There is increasing realization that mathematics-related self-efficacy expectations are a strong predictor of an array of significant mathematics outcomes. It is also evident that the curricular practice in schools largely neglects development of a student understanding in the unique language of mathematics. Consequently, this study probes how…

Using the Principles of BIO2010 to Develop an Introductory, Interdisciplinary Course for Biology Students

PubMed Central

Adams, Peter; Goos, Merrilyn

2010-01-01

Modern biological sciences require practitioners to have increasing levels of knowledge, competence, and skills in mathematics and programming. A recent review of the science curriculum at the University of Queensland, a large, research-intensive institution in Australia, resulted in the development of a more quantitatively rigorous undergraduate program. Inspired by the National Research Council's BIO2010 report, a new interdisciplinary first-year course (SCIE1000) was created, incorporating mathematics and computer programming in the context of modern science. In this study, the perceptions of biological science students enrolled in SCIE1000 in 2008 and 2009 are measured. Analysis indicates that, as a result of taking SCIE1000, biological science students gained a positive appreciation of the importance of mathematics in their discipline. However, the data revealed that SCIE1000 did not contribute positively to gains in appreciation for computing and only slightly influenced students' motivation to enroll in upper-level quantitative-based courses. Further comparisons between 2008 and 2009 demonstrated the positive effect of using genuine, real-world contexts to enhance student perceptions toward the relevance of mathematics. The results support the recommendation from BIO2010 that mathematics should be introduced to biology students in first-year courses using real-world examples, while challenging the benefits of introducing programming in first-year courses. PMID:20810961

Use of Angle Model to Understand Addition and Subtraction of Fractions

ERIC Educational Resources Information Center

Mukwambo, Muzwangowenyu; Ngcoza, Kenneth; Ramasike, Lineo Florence

2018-01-01

Learners in lower primary and even some in upper primary grades grapple to perform mathematical operations which involve fractions. Failure to solve these mathematical operations creates a gap in the teaching and learning processes of mathematics. We opine that this is attributed to use of traditional mathematical approaches of teaching and…

Characterizing Reading Comprehension of Mathematical Texts

ERIC Educational Resources Information Center

Osterholm, Magnus

2006-01-01

This study compares reading comprehension of three different texts: two mathematical texts and one historical text. The two mathematical texts both present basic concepts of group theory, but one does it using mathematical symbols and the other only uses natural language. A total of 95 upper secondary and university students read one of the…

Learning to teach upper primary school algebra: changes to teachers' mathematical knowledge for teaching functional thinking

NASA Astrophysics Data System (ADS)

Wilkie, Karina J.

2016-06-01

A key aspect of learning algebra in the middle years of schooling is exploring the functional relationship between two variables: noticing and generalising the relationship, and expressing it mathematically. This article describes research on the professional learning of upper primary school teachers for developing their students' functional thinking through pattern generalisation. This aspect of algebra learning has been explicitly brought to the attention of upper primary teachers in the recently introduced Australian curriculum. Ten practising teachers participated over 1 year in a design-based research project involving a sequence of geometric pattern generalisation lessons with their classes. Initial and final survey responses and teachers' interactions in regular meetings and lessons were analysed from cognitive and situated perspectives on professional learning, using a theoretical model for the different types of knowledge needed for teaching mathematics. The teachers demonstrated an increase in certain aspects of their mathematical knowledge for teaching algebra as well as some residual issues. Implications for the professional learning of practising and pre-service teachers to develop their mathematics knowledge for teaching functional thinking, and challenges with operationalising knowledge categories for field-based research are presented.

Implementation of Protocols to Enable Doctoral Training in Physical and Computational Chemistry of a Blind Graduate Student

ERIC Educational Resources Information Center

Minkara, Mona S.; Weaver, Michael N.; Gorske, Jim; Bowers, Clifford R.; Merz, Kenneth M., Jr.

2015-01-01

There exists a sparse representation of blind and low-vision students in science, technology, engineering and mathematics (STEM) fields. This is due in part to these individuals being discouraged from pursuing STEM degrees as well as a lack of appropriate adaptive resources in upper level STEM courses and research. Mona Minkara is a rising fifth…

Professional Communities in the Context of Teachers' Professional lives: A Case of Mathematics Specialists

ERIC Educational Resources Information Center

Nickerson, Susan D.; Moriarty, Gail

2005-01-01

We describe an urban school initiative aimed at teachers' professional development with the goal of increasing their mathematics content knowledge and helping them improve their practice. In the lowest performing schools, mathematics specialists were employed to teach only mathematics in upper-elementary grades (ages 9-12). One aspect of this…

Influence of Linguistic Challenges on Attitude towards Mathematics Learning among Upper Primary Students of Kerala

ERIC Educational Resources Information Center

Sarabi, M. K.; Gafoor, K. Abdul

2017-01-01

Aspects that influences mathematics learning is widely studied and language factors have been identified as a key backer to difficulties in learning Mathematics. It is evidenced that not only cognitive factors but also affective factors have vital role in learning mathematics. Such affective beliefs sources from various aspects of mathematics…

Gender Difference in Mathematics Achievement and Its Relation with Reading Comprehension of Children at Upper Primary Stage

ERIC Educational Resources Information Center

Anjum, Sabahat

2015-01-01

The progress and prosperity of a country depends on the quality of mathematics taught in its school system. For people to survive and improve the quality of life, basic learning skills, reading, writing, arithmetic and life skills, are necessary and mathematics education is intended to develop these skills. The importance of mathematics transcends…

The State of Proof in Finnish and Swedish Mathematics Textbooks--Capturing Differences in Approaches to Upper-Secondary Integral Calculus

ERIC Educational Resources Information Center

Bergwall, Andreas; Hemmi, Kirsti

2017-01-01

Students' difficulties with proof, scholars' calls for proof to be a consistent part of K-12 mathematics, and the extensive use of textbooks in mathematics classrooms motivate investigations on how proof-related items are addressed in mathematics textbooks. We contribute to textbook research by focusing on opportunities to learn proof-related…

Shifting Pre-Service Teachers' Beliefs about Mathematics Teaching: The Contextual Situation of a Mathematics Methods Course

ERIC Educational Resources Information Center

Jao, Limin

2017-01-01

For pre-service teachers (PSTs) who have been exposed to traditional approaches, teacher education courses can be a revelatory experience in their development as educators. This study explores if Canadian upper elementary/lower secondary (grades 4-10) PSTs change their beliefs about mathematics teaching as a result of taking a mathematics methods…

Logistics of Mathematical Modeling-Focused Projects

ERIC Educational Resources Information Center

Harwood, R. Corban

2018-01-01

This article addresses the logistics of implementing projects in an undergraduate mathematics class and is intended both for new instructors and for instructors who have had negative experiences implementing projects in the past. Project implementation is given for both lower- and upper-division mathematics courses with an emphasis on mathematical…

Ubiquitous Wireless Laptops in Upper Elementary Mathematics

ERIC Educational Resources Information Center

Clariana, Roy

2009-01-01

This quasi-experimental investigation considers the second year of implementation of wireless laptops (1:1 ratio) in three 6th grade mathematics classrooms in one school compared to non-laptop classrooms (5:1 ratio) in seven other schools in the district. Comprehensive mathematics software from CompassLearning delivered via the internet was…

"Actually, I 'May' Be Clever Enough to Do It". Using Identity as a Lens to Investigate Students' Trajectories towards Science and University

ERIC Educational Resources Information Center

Krogh, Lars Brian; Andersen, Hanne Moeller

2013-01-01

We have followed a group of students in the potential pipeline for science through their last years of upper secondary school and in the context of a university mentorship program. The student group is defined by their choice of Mathematics at A-level which is mandatory for admission to tertiary STEM education in Denmark. Rich data (repeated…

The Solar-Terrestrial Environment

NASA Astrophysics Data System (ADS)

Hargreaves, John Keith

1995-05-01

The book begins with three introductory chapters that provide some basic physics and explain the principles of physical investigation. The principal material contained in the main part of the book covers the neutral and ionized upper atmosphere, the magnetosphere, and structures, dynamics, disturbances, and irregularities. The concluding chapter deals with technological applications. The account is introductory, at a level suitable for readers with a basic background in engineering or physics. The intent is to present basic concepts, and for that reason, the mathematical treatment is not complex. SI units are given throughout, with helpful notes on cgs units where these are likely to be encountered in the research literature. This book is suitable for advanced undergraduate and graduate students who are taking introductory courses on upper atmospheric, ionospheric, or magnetospheric physics. This is a successor to The Upper Atmosphere and Solar-Terrestrial Relations, published in 1979.

CAS-Induced Difficulties in Learning Mathematics?

ERIC Educational Resources Information Center

Jankvist, Uffe Thomas; Misfeldt, Morten

2015-01-01

In recent years computer algebra systems (CAS) have become an integrated part of the upper secondary school mathematics program. Despite the many positive possibilities of CAS, there also seems to be a flip side of the coin in relation to actual difficulties in learning mathematics, not least because a strong dependence on CAS for mathematical…

Guidelines for the CSMP K-6 Curriculum in Graph Theory.

ERIC Educational Resources Information Center

Deskins, W. E.; And Others

This volume is designed for teachers preparing to teach upper elementary students using the Comprehensive School Mathematics Program (CSMP) curriculum. It begins with a discussion of the importance of graph theory in mathematics and science. A mathematical development of graph-theoretic concepts and theorems is presented, followed by a set of…

Upper-Level Waves of Synoptic Scale at Midlatitudes

NASA Astrophysics Data System (ADS)

Rivest, Chantal

1990-01-01

Upper-level waves of synoptic scale are important dynamical entities at midlatitudes. They often induce surface cyclogenesis (cf. Peterssen and Smebye, 1971), and their life duration is typically longer than time scales for disruption by the ambient shear (Sanders, 1988). The objectives of the present thesis are to explain the maintenance and genesis of upper-level synoptic-scale waves in the midlatitude flow. We develop an analytical model of waves on generalized Eady basic states that have uniform tropospheric and stratospheric potential vorticity, but allow for the decay of density with height. The Eady basic state represents the limiting case of infinite stratospheric stability and constant density. We find that the Eady normal mode characteristics hold in the presence of realistic tropopause and stratosphere. In particular, the basic states studied support at the synoptic scale upper-level normal modes. These modes provide simple models for the dynamics of upper-level synoptic-scale waves, as waves supported by the large latitudinal gradients of potential vorticity at the tropopause. In the presence of infinitesimal positive tropospheric gradients of potential vorticity, the upper-level normal mode solutions no longer exist, as was demonstrated in Green (1960). Disappearance of the normal mode solution when a parameter changes slightly represents a dilemma that we seek to understand. We examine what happens to the upper-level normal modes in the presence of tropospheric gradients of potential vorticity in a series of initial -value experiments. Our results show that the normal modes become slowly decaying quasi-modes. Mathematically the quasi-modes consist of a superposition of singular modes sharply peaked in the phase speed domain, and their decay proceeds as the modes interfere with one another. We repeat these experiments in basic states with a smooth tropopause in the presence of tropospheric and stratospheric gradients, and similar results are obtained. Basic states with positive tropospheric and stratospheric gradients of potential vorticity are found to support upper-level synoptic-scale waves for time scales consistent with observations. Following Farrell (1989), we then identify a class of near optimal initial conditions for the excitation of upper-level waves. The initial conditions consist of upper -tropospheric disturbances that lean against the shear. They strongly excite upper-level waves not only in the absence of tropospheric potential vorticity gradients, but also in their presence. This result demonstrates that quasi -modes are as likely to emerge from favorably configured initial conditions as real normal modes, although their excitation is followed by a slow decay. (Copies available exclusively from MIT Libraries, Rm. 14-0551, Cambridge, MA 02139-4307. Ph. 617-253-5668; Fax 617-253-1690.).

Physics Education Research at the Upper Division at the University of Maine

NASA Astrophysics Data System (ADS)

Thompson, John

2013-04-01

Researchers from the University of Maine Physics Education Research Laboratory are conducting several investigations of the learning and teaching of physics beyond the introductory level. Content topics include intermediate mechanics, electronics, thermodynamics and statistical mechanics. One focus of our work is the identification and addressing of specific student difficulties with topics such as damped harmonic motion, bipolar junction transistor (BJT) circuits, work, entropy, and the Boltzmann factor. Student understanding and use of the underlying mathematics has been one important emerging theme, including definite integrals, partial derivatives, and linear differential equations. Recent work in mechanics has focused on understanding the interplay of mathematical and physical reasoning when describing damped harmonic motion, including framing and representational issues. In electronics, there has been an ongoing investigation of student understanding of the behavior of basic BJT follower and amplifier circuits as well as related issues of signal and bias. In thermal physics, student understanding of state functions, heat engines and the Carnot cycle, the First and Second Laws of thermodynamics, and the macroscopic and microscopic perspectives on entropy have been investigated. The greater content sophistication in these courses has drawn attention to the specific needs, constraints, and advantages of instructional materials tailored to the upper division. Future directions include more attention to interdisciplinary topics across mathematics, physics, and engineering in particular, as well as metacognition in the laboratory.

Student and high-school characteristics related to completing a science, technology, engineering or mathematics (STEM) major in college

NASA Astrophysics Data System (ADS)

LeBeau, Brandon; Harwell, Michael; Monson, Debra; Dupuis, Danielle; Medhanie, Amanuel; Post, Thomas R.

2012-04-01

Background: The importance of increasing the number of US college students completing degrees in science, technology, engineering or mathematics (STEM) has prompted calls for research to provide a better understanding of factors related to student participation in these majors, including the impact of a student's high-school mathematics curriculum. Purpose: This study examines the relationship between various student and high-school characteristics and completion of a STEM major in college. Of specific interest is the influence of a student's high-school mathematics curriculum on the completion of a STEM major in college. Sample: The sample consisted of approximately 3500 students from 229 high schools. Students were predominantly Caucasian (80%), with slightly more males than females (52% vs 48%). Design and method: A quasi-experimental design with archival data was used for students who enrolled in, and graduated from, a post-secondary institution in the upper Midwest. To be included in the sample, students needed to have completed at least three years of high-school mathematics. A generalized linear mixed model was used with students nested within high schools. The data were cross-sectional. Results: High-school predictors were not found to have a significant impact on the completion of a STEM major. Significant student-level predictors included ACT mathematics score, gender and high-school mathematics GPA. Conclusions: The results provide evidence that on average students are equally prepared for the rigorous mathematics coursework regardless of the high-school mathematics curriculum they completed.

A Mathematical Sciences Program at an Upper-Division Campus.

ERIC Educational Resources Information Center

Swetz, Frank J.

1978-01-01

The conception, objectives, contents, and limitations of a degree program in the mathematical sciences at Pennsylvania State University, Capitol Campus, are discussed. Career goals that may be pursued include: managerial, science, education, actuarial, and computer. (MP)

The Continuing Decline of Science and Mathematics Enrolments in Australian High Schools

ERIC Educational Resources Information Center

Kennedy, John; Lyons, Terry; Quinn, Frances

2014-01-01

Is there a crisis in Australian science and mathematics education? Declining enrolments in upper secondary Science and Mathematics courses have gained much attention from the media, politicians and high-profile scientists over the last few years, yet there is no consensus amongst stakeholders about either the nature or the magnitude of the…

Using the Construct of the Didactic Contract to Understand Student Transition into University Mathematics Education

ERIC Educational Resources Information Center

Pepin, Birgit

2014-01-01

In this article the concept of the Didactic Contract is used to investigate student "transition" from upper secondary into university mathematics education. The findings are anchored in data from the TransMaths project, more particularly the case of an ethnic minority student's journey from his school to a university mathematics course…

A Wake-Up Call for U.S. Educators: The Third International Mathematics and Science Study.

ERIC Educational Resources Information Center

Cochrane, Douglas

1999-01-01

This issue of "Policy Forum" compares the mathematics and science achievement of students midway through elementary school, midway through lower secondary school, and at the end of upper secondary school. The Third International Mathematics and Science Study (TIMSS), conducted in 1995-96, is the largest international education study ever…

"A Bad Head for Maths"? Constructions of Educability and Mathematics in Adult Students' Narrative Life Histories

ERIC Educational Resources Information Center

Siivonen, Päivi

2013-01-01

The article focuses on the social differences of educability constructed in Finnish general upper secondary school adult graduates' narratives on mathematics. Social class, gender, and age intertwine in the narratives that express the adult students' worries about their ability and competence to study and learn mathematics. Social differences of…

Digital Fabrication as an Instructional Technology for Supporting Upper Elementary and Middle School Science and Mathematics Education

ERIC Educational Resources Information Center

Tillman, Daniel

2012-01-01

The purpose of this three-paper manuscript dissertation was to study digital fabrication as an instructional technology for supporting elementary and middle school science and mathematics education. Article one analyzed the effects of digital fabrication activities that were designed to contextualize mathematics education at a summer mathematics…

Secondary School Students' Understanding of Mathematical Induction: Structural Characteristics and the Process of Proof Construction

ERIC Educational Resources Information Center

Palla, Marina; Potari, Despina; Spyrou, Panagiotis

2012-01-01

In this study, we investigate the meaning students attribute to the structure of mathematical induction (MI) and the process of proof construction using mathematical induction in the context of a geometric recursion problem. Two hundred and thirteen 17-year-old students of an upper secondary school in Greece participated in the study. Students'…

Are Parents' Academic Gender Stereotypes and Changes in Them Related to Their Perceptions of Their Child's Mathematical Competence?

ERIC Educational Resources Information Center

Raty, Hannu; Karkkainen, Riitta

2011-01-01

In the course of their child's school years, a group of parents were asked to assess their child's mathematical competence and indicate whether they endorsed the gender stereotype pertaining to it. Once the child had entered upper primary school, the consistent stereotypic parents tended to rate their boys' mathematical competence higher than the…

Gender differences in extreme mathematical achievement: an international perspective on biological and social factors.

PubMed

Penner, Andrew M

2008-01-01

Genetic and other biological explanations have reemerged in recent scholarship on the underrepresentation of women in mathematics and the sciences. This study engages this debate by using international data-including math achievement scores from the Third International Mathematics and Sciences Study and country-level data from the World Bank, the United Nations, the International Labour Organization, the World Values Survey, and the International Social Survey Programme-to demonstrate the importance of social factors and to estimate an upper bound for the impact of genetic factors. The author argues that international variation provides a valuable opportunity to present simple and powerful arguments for the continued importance of social factors. In addition, where previous research has, by and large, focused on differences in population means, this work examines gender differences throughout the distribution. The article shows that there is considerable variation in gender differences internationally, a finding not easily explained by strictly biological theories. Modeling the cross-national variation in gender differences with country-level predictors reveals that differences among high achievers are related to gender inequality in the labor market and differences in the overall status of men and women.

A Five-Year Follow-Up on the Role of Educational Support in Preventing Dropout From Upper Secondary Education in Finland.

PubMed

Hakkarainen, Airi M; Holopainen, Leena K; Savolainen, Hannu K

2015-01-01

In this longitudinal study, we investigated the role of word reading and mathematical difficulties measured in 9th grade as factors for receiving educational support for learning in upper secondary education in Grades 10 to 12 (from ages 16 to 19) and furthermore as predictors of dropout from upper secondary education within 5 years after compulsory education. In addition, we studied the role of school achievement in Grades 9 and 11 in this prediction. The participants of this study were members of one age group of 16-year-old ninth graders (N = 595, females 302, males 293) in a midsized Finnish city, who were followed for 5 years after completing compulsory education. The path model results, where the effects of gender, educational track, and SES were controlled, showed, first, that students with academic learning difficulties received educational support for learning particularly in the 11th grade. Second, academic learning difficulties directly affected school achievement in the 9th grade, but no longer in the 11th grade. Third, mathematical difficulties directly predicted dropout from upper secondary education, and difficulties in both word reading and mathematics had an indirect effect through school achievement in Grades 9 and 11 on dropout. © Hammill Institute on Disabilities 2013.

Mathematics Career Simulations: An Invitation

ERIC Educational Resources Information Center

Sinn, Robb; Phipps, Marnie

2013-01-01

A simulated academic career was combined with inquiry-based learning in an upper-division undergraduate mathematics course. Concepts such as tenure, professional conferences and journals were simulated. Simulation procedures were combined with student-led, inquiry-based classroom formats. A qualitative analysis (ethnography) describes the culture…

Prediction of inspiratory flow shapes during sleep with a mathematic model of upper airway forces.

PubMed

Aittokallio, Tero; Gyllenberg, Mats; Saaresranta, Tarja; Polo, Olli

2003-11-01

To predict the airflow dynamics during sleep using a mathematic model that incorporates a number of static and dynamic upper airway forces, and to compare the numerical results to clinical flow data recorded from patients with sleep-disordered breathing on and off various treatment options. Upper airway performance was modeled in virtual subjects characterized by parameter settings that describe common combinations of risk factors predisposing to upper airway collapse during sleep. The treatments effect were induced by relevant changes of the initial parameter values. Computer simulations at our website (http://www.utu.fi/ml/sovmat/bio/). Risk factors considered in the simulation settings were sex, obesity, pharyngeal collapsibility, and decreased phasic activity of pharyngeal muscles. The effects of weight loss, pharyngeal surgery, nasal continuous positive airway pressure, and respiratory stimulation on the inspiratory flow characteristics were tested with the model. Numerical predictions were investigated by means of 3 measurable inspiratory airflow characteristics: initial slope, total volume, and flow shape. The model was able to reproduce the inspiratory flow shape characteristics that have previously been described in the literature. Simulation results also supported the observations that a multitude of factors underlie the pharyngeal collapse and, therefore, certain medical therapies that are effective in some conditions may prove ineffective in others. A mathematic model integrating the current knowledge of upper airway physiology is able to predict individual treatment responses. The model provides a framework for designing novel and potentially feasible treatment alternatives for sleep-disordered breathing.

Initial tsunami signals in the lithosphere-ocean-atmosphere medium

NASA Astrophysics Data System (ADS)

Novik, O.; Ershov, S.; Mikhaylovskaya, I.

Satellite and ground based instrumentations for monitoring of dynamical processes under the Ocean floor 3 4 of the Earth surface and resulting catastrophic events should be adapted to unknown physical nature of transformation of the oceanic lithosphere s energy of seismogenic deformations into measurable acoustic electromagnetic EM temperature and hydrodynamic tsunami waves To describe the initial up to a tsunami wave far from a shore stage of this transformation and to understand mechanism of EM signals arising above the Ocean during seismic activation we formulate a nonlinear mathematical model of seismo-hydro-EM geophysical field interaction in the lithosphere-Ocean-atmosphere medium from the upper mantle under the Ocean up to the ionosphere domain D The model is based on the theory of elasticity electrodynamics fluid dynamics thermodynamics and geophysical data On the basis of this model and its mathematical investigation we calculate generation and propagation of different see above waves in the basin of a model marginal sea the data on the central part of the Sea of Japan were used At the moment t 0 the dynamic interaction process is supposed to be caused by weak may be precursory sub-vertical elastic displacements with the amplitude duration and main frequency of the order of a few cm sec and tenth of Hz respectively at the depth of 37 km under the sea level i e in the upper mantle Other seismic excitations may be considered as well The lithosphere EM signal is generated in the upper mantle conductive

Technology-Rich Mathematics Instruction

ERIC Educational Resources Information Center

Thach, Kim J.; Norman, Kimberly A.

2008-01-01

This article uses one of the authors' classroom experiences to explore how teachers can create technology-rich learning environments that support upper elementary students' mathematical understanding of algebra and number and operations. They describe a unit that presents a common financial problem (the use of credit cards) to engage sixth graders…

Striking the Right Balance: Students' Motivation and Affect in Elementary Mathematics

ERIC Educational Resources Information Center

Schweinle, Amy; Meyer, Debra K.; Turner, Julianne C.

2006-01-01

The authors explored the relationship between motivation and affect in upper elementary mathematics classes from the perspective of flow theory. They also investigated the relationship between students' motivation and teachers' instructional practices. Students' reported classroom experiences formed 4 factors--Social Affect, Personal Affect,…

"My favourite subject is maths. For some reason no-one really agrees with me": student perspectives of mathematics teaching and learning in the upper primary classroom

NASA Astrophysics Data System (ADS)

Attard, Catherine

2011-09-01

The levels of engagement in mathematics experienced by students during the middle years of schooling (Years 5 to 8 in New South Wales) has been of concern in Australia for some years. Lowered engagement in school has been attributed to factors such as inappropriate teaching strategies, curricula that is unchallenging and irrelevant, and cultural and technological conditions that continue to evolve (Sullivan et al. Australian Journal of Education 53(2):176-191, 2009). There is currently a gap in this field of research in terms of a lack of longitudinal studies conducted in an Australian context that feature students' voices and their perceptions of mathematics teaching and learning during the middle years. As part of a qualitative longitudinal case study spanning 3 school years, 20 students in their final year of primary school (aged between 11 and 12 years) were asked to provide their views on mathematics teaching and learning. The aim of the study was to explore the students' perspectives of mathematics teaching and learning to discover pedagogies that engage the students. During focus group discussions and individual interviews the students discussed qualities of a "good" mathematics teacher and aspects of "good" lessons. These were found to resonate well with current Australian quality teaching frameworks. The findings of this study indicate that students in the middle years are critically aware of pedagogies that lead to engagement in mathematics, and existing standards and frameworks should be used as a starting point for quality teaching of mathematics.

Science Choices in Norwegian Upper Secondary School: What Matters?

ERIC Educational Resources Information Center

Boe, Maria Vetleseter

2012-01-01

There is international concern about young people's participation in science. This study investigated the relevant importance of various issues in 1628 Norwegian upper secondary students' choices of postcompulsory subject combinations: natural science and mathematics (henceforth Science) or languages, social science and economics (henceforth…

Success-factors in transition to university mathematics

NASA Astrophysics Data System (ADS)

Bengmark, S.; Thunberg, H.; Winberg, T. M.

2017-11-01

This study examines different factors' relative importance for students' performance in the transition to university mathematics. Students' characteristics (motivation, actions and beliefs) were measured when entering the university and at the end of the first year. Principal component analysis revealed four important constructs: Self-efficacy, Motivation type, Study habits and Views of mathematics. Subsequently, orthogonal partial least squares (OPLS) analysis was used for measuring the constructs' ability to predict students' university mathematics grades. No individual constructs measured at the time of entrance predicted more than 5% of the variation. On the other hand, jointly they predicted 14%, which is almost in pair with upper secondary grades predicting 17%. Constructs measured at the end of the first year were stronger predictors, jointly predicting 37% of the variation in university grades, with Self-efficacy (21%) and Motivation (12%) being the two strongest individual predictors. In general, Study habits were not important for predicting university achievement. However, for students with low upper secondary grades, the textbook and interaction with peers, rather than internet-based resources, contributed positively to achievement. The association between Views of mathematics and performance was weak for all groups and non-existing for students with low grades.

Upper-Division Student Difficulties with the Dirac Delta Function

ERIC Educational Resources Information Center

Wilcox, Bethany R.; Pollock, Steven J.

2015-01-01

The Dirac delta function is a standard mathematical tool that appears repeatedly in the undergraduate physics curriculum in multiple topical areas including electrostatics, and quantum mechanics. While Dirac delta functions are often introduced in order to simplify a problem mathematically, students still struggle to manipulate and interpret them.…

Allium To Zircon: Mathematics and Nature.

ERIC Educational Resources Information Center

Harrell, Marvin E.; Fosnaugh, Linda S.

1997-01-01

Discusses how nature can illustrate mathematical structures and concepts in the classroom. For example, the upper surface of a typical leaf structure illustrates the notion of tessellating with polygons. Also lists classroom applications and hands-on activities such as growing crystals to investigate the natural forms of polyhedra and measuring…

``Physical Concepts in Cell Biology,'' an upper level interdisciplinary course in cell biophysics/mathematical biology

NASA Astrophysics Data System (ADS)

Vavylonis, Dimitrios

2009-03-01

I will describe my experience in developing an interdisciplinary biophysics course addressed to students at the upper undergraduate and graduate level, in collaboration with colleagues in physics and biology. The students had a background in physics, biology and engineering, and for many the course was their first exposure to interdisciplinary topics. The course did not depend on a formal knowledge of equilibrium statistical mechanics. Instead, the approach was based on dynamics. I used diffusion as a universal ``long time'' law to illustrate scaling concepts. The importance of statistics and proper counting of states/paths was introduced by calculating the maximum accuracy with which bacteria can measure the concentration of diffuse chemicals. The use of quantitative concepts and methods was introduced through specific biological examples, focusing on model organisms and extremes at the cell level. Examples included microtubule dynamic instability, the search and capture model, molecular motor cooperativity in muscle cells, mitotic spindle oscillations in C. elegans, polymerization forces and propulsion of pathogenic bacteria, Brownian ratchets, bacterial cell division and MinD oscillations.

A Measure of Mathematical Self-Concept in Young Adults 16-24 Years Old: A Cross-Cultural Comparison with a Focus on Gender and Numeracy

ERIC Educational Resources Information Center

Lundetrae, Kjersti; Mykletun, Reidar; Gabrielsen, Egil

2010-01-01

Girls attend less education in mathematics than boys when the subject becomes an elective in upper secondary schools and above. One explanation for this might be gender differences in mathematical self-concept, which are the focus of the present study. Data from the Adult Literacy and Life Skills Survey (ALL) were used to examine whether young…

Acceleration levels on board the Space Station and a tethered elevator for micro and variable-gravity applications

NASA Technical Reports Server (NTRS)

Lorenzini, E. C.; Cosmo, M.; Vetrella, S.; Moccia, A.

1988-01-01

This paper investigates the dynamics and acceleration levels of a new tethered system for micro and variable-gravity applications. The system consists of two platforms tethered on opposite sides to the Space Station. A fourth platform, the elevator, is placed in between the Space Station and the upper platform. Variable-g levels on board the elevator are obtained by moving this facility along the upper tether, while micro-g experiments are carried out on board the Space Station. By controlling the length of the lower tether the position of the system CM can be maintained on board the Space Station despite variations of the station's distribution of mass. The paper illustrates the mathematical model, the environmental perturbations and the control techniques which have been adopted for the simulation and control of the system dynamics. Two sets of results from two different simulation runs are shown. The first set shows the system dynamics and the acceleration spectra on board the Space Station and the elevator during station-keeping. The second set of results demonstrates the capability of the elevator to attain a preselected g-level.

Stimulating Positive Emotional Experiences in Mathematics Learning: Influence of Situational and Personal Factors

ERIC Educational Resources Information Center

Winberg, T. Mikael; Hellgren, Jenny M.; Palm, Torulf

2014-01-01

The study aims to assess the relative importance of a large number of variables for predicting students' positive-activating emotions during mathematics learning. Participants were 668 first-year upper secondary school students from 33 schools of different sizes and locations. Two questionnaires were distributed, one assessing students'…

Partial Derivative Games in Thermodynamics: A Cognitive Task Analysis

ERIC Educational Resources Information Center

Kustusch, Mary Bridget; Roundy, David; Dray, Tevian; Manogue, Corinne A.

2014-01-01

Several studies in recent years have demonstrated that upper-division students struggle with the mathematics of thermodynamics. This paper presents a task analysis based on several expert attempts to solve a challenging mathematics problem in thermodynamics. The purpose of this paper is twofold. First, we highlight the importance of cognitive task…

Students' Mathematical Reasoning and Beliefs in Non-Routine Task Solving

ERIC Educational Resources Information Center

Jäder, Jonas; Sidenvall, Johan; Sumpter, Lovisa

2017-01-01

Beliefs and problem solving are connected and have been studied in different contexts. One of the common results of previous research is that students tend to prefer algorithmic approaches to mathematical tasks. This study explores Swedish upper secondary school students' beliefs and reasoning when solving non-routine tasks. The results regarding…

A Voyage of Mathematical and Cultural Awareness for Students of Upper Secondary School

ERIC Educational Resources Information Center

Panagiotou, Evangelos N.

2014-01-01

Many papers have emphasized the need for and importance of particular examples and the underlying rationale for introducing a historical dimension in mathematics education. This article presents the development and implementation of a project, based on original sources, in a situation where the existing curriculum does not include history. The…

"I Am [Not Always] a Maths Hater": Shifting Students' Identity Narratives in Context

ERIC Educational Resources Information Center

Andersson, Annica; Valero, Paola; Meaney, Tamsin

2015-01-01

In this study, individual students' engagement in learning mathematics in different contexts was explored. The students' narrated identities during their first compulsory upper secondary mathematics course provided a way to understand students' shifts in participation and why these shifts occurred in different contexts at particular times.…

Mathematics Teaching in Four European Countries

ERIC Educational Resources Information Center

Andrews, Paul; Sayers, Judy

2006-01-01

This article discusses a comparative study, funded by the European Union, of the teaching of mathematics in five European countries, (Flanders, England, Finland, Hungary and Spain) to students in the upper primary (ages 10-12) and lower secondary (12-14) years. These ages were chosen as they represent a time when many students' experiences of…

A leader-follower-interactive method for regional water resources management with considering multiple water demands and eco-environmental constraints

NASA Astrophysics Data System (ADS)

Chen, Yizhong; Lu, Hongwei; Li, Jing; Ren, Lixia; He, Li

2017-05-01

This study presents the mathematical formulation and implementations of a synergistic optimization framework based on an understanding of water availability and reliability together with the characteristics of multiple water demands. This framework simultaneously integrates a set of leader-followers-interactive objectives established by different decision makers during the synergistic optimization. The upper-level model (leader's one) determines the optimal pollutants discharge to satisfy the environmental target. The lower-level model (follower's one) accepts the dispatch requirement from the upper-level one and dominates the optimal water-allocation strategy to maximize economic benefits representing the regional authority. The complicated bi-level model significantly improves upon the conventional programming methods through the mutual influence and restriction between the upper- and lower-level decision processes, particularly when limited water resources are available for multiple completing users. To solve the problem, a bi-level interactive solution algorithm based on satisfactory degree is introduced into the decision-making process for measuring to what extent the constraints are met and the objective reaches its optima. The capabilities of the proposed model are illustrated through a real-world case study of water resources management system in the district of Fengtai located in Beijing, China. Feasible decisions in association with water resources allocation, wastewater emission and pollutants discharge would be sequentially generated for balancing the objectives subject to the given water-related constraints, which can enable Stakeholders to grasp the inherent conflicts and trade-offs between the environmental and economic interests. The performance of the developed bi-level model is enhanced by comparing with single-level models. Moreover, in consideration of the uncertainty in water demand and availability, sensitivity analysis and policy analysis are employed for identifying their impacts on the final decisions and improving the practical applications.

RNA Secondary Structure Prediction by Using Discrete Mathematics: An Interdisciplinary Research Experience for Undergraduate Students

PubMed Central

Ellington, Roni; Wachira, James

2010-01-01

The focus of this Research Experience for Undergraduates (REU) project was on RNA secondary structure prediction by using a lattice walk approach. The lattice walk approach is a combinatorial and computational biology method used to enumerate possible secondary structures and predict RNA secondary structure from RNA sequences. The method uses discrete mathematical techniques and identifies specified base pairs as parameters. The goal of the REU was to introduce upper-level undergraduate students to the principles and challenges of interdisciplinary research in molecular biology and discrete mathematics. At the beginning of the project, students from the biology and mathematics departments of a mid-sized university received instruction on the role of secondary structure in the function of eukaryotic RNAs and RNA viruses, RNA related to combinatorics, and the National Center for Biotechnology Information resources. The student research projects focused on RNA secondary structure prediction on a regulatory region of the yellow fever virus RNA genome and on an untranslated region of an mRNA of a gene associated with the neurological disorder epilepsy. At the end of the project, the REU students gave poster and oral presentations, and they submitted written final project reports to the program director. The outcome of the REU was that the students gained transferable knowledge and skills in bioinformatics and an awareness of the applications of discrete mathematics to biological research problems. PMID:20810968

RNA secondary structure prediction by using discrete mathematics: an interdisciplinary research experience for undergraduate students.

PubMed

Ellington, Roni; Wachira, James; Nkwanta, Asamoah

2010-01-01

The focus of this Research Experience for Undergraduates (REU) project was on RNA secondary structure prediction by using a lattice walk approach. The lattice walk approach is a combinatorial and computational biology method used to enumerate possible secondary structures and predict RNA secondary structure from RNA sequences. The method uses discrete mathematical techniques and identifies specified base pairs as parameters. The goal of the REU was to introduce upper-level undergraduate students to the principles and challenges of interdisciplinary research in molecular biology and discrete mathematics. At the beginning of the project, students from the biology and mathematics departments of a mid-sized university received instruction on the role of secondary structure in the function of eukaryotic RNAs and RNA viruses, RNA related to combinatorics, and the National Center for Biotechnology Information resources. The student research projects focused on RNA secondary structure prediction on a regulatory region of the yellow fever virus RNA genome and on an untranslated region of an mRNA of a gene associated with the neurological disorder epilepsy. At the end of the project, the REU students gave poster and oral presentations, and they submitted written final project reports to the program director. The outcome of the REU was that the students gained transferable knowledge and skills in bioinformatics and an awareness of the applications of discrete mathematics to biological research problems.

Achievement goal profiles and developments in effort and achievement in upper elementary school.

PubMed

Hornstra, Lisette; Majoor, Marieke; Peetsma, Thea

2017-12-01

The multiple goal perspective posits that certain combinations of achievement goals are more favourable than others in terms of educational outcomes. This study aimed to examine longitudinally whether students' achievement goal profiles and transitions between profiles are associated with developments in self-reported and teacher-rated effort and academic achievement in upper elementary school. Participants were 722 fifth-grade students and their teachers in fifth and sixth grade (N = 68). Students reported on their achievement goals and effort in language and mathematics three times in grade 5 to grade 6. Teachers rated students' general school effort. Achievement scores were obtained from school records. Goal profiles were derived with latent profile and transition analyses. Longitudinal multilevel analyses were conducted. Theoretically favourable goal profiles (high mastery and performance-approach goals, low on performance-avoidance goals), as well as transitions from less to more theoretically favourable goal profiles, were associated with higher levels and more growth in effort for language and mathematics and with stronger language achievement gains. Overall, these results provide support for the multiple goal perspective and show the sustained benefits of favourable goal profiles beyond effects of cognitive ability and background characteristics. © 2017 The Authors. British Journal of Education Psychology published by John Wiley & Sons Ltd on behalf of British Psychological Society.

In Praise of the Catenary

NASA Astrophysics Data System (ADS)

Behroozi, F.

2018-04-01

When a chain hangs loosely from its end points, it takes the familiar form known as the catenary. Power lines, clothes lines, and chain links are familiar examples of the catenary in everyday life. Nevertheless, the subject is conspicuously absent from current introductory physics and calculus courses. Even in upper-level physics and math courses, the catenary equation is usually introduced as an example of hyperbolic functions or discussed as an application of the calculus of variations. We present a new derivation of the catenary equation that is suitable for introductory physics and mathematics courses.

Learning Results from the Viewpoint of Equity: Boys, Girls and Mathematics.

ERIC Educational Resources Information Center

Pehkonen, Erkki

1997-01-01

Explores why girls successful in mathematics choose advanced courses in upper secondary school less than did boys. Analyzes the results of tests and a student questionnaire (N=739) in Finland. Findings indicate that in the case of word problems and calculation without calculators, boys are significantly better than girls. Reports that the boys…

A Replication Study to Evaluate the Effects of Schema-Based Instruction on Middle School Students' Proportional Problem-Solving Performance

ERIC Educational Resources Information Center

Jitendra, Asha K.; Harwell, Michael R.; Karl, Stacy R.; Slater, Susan C.; Simonson, Gregory R.; Nelson, Gena

2016-01-01

Ratio and proportional relationships are of primary importance during the upper elementary and middle school grades (Kilpatrick, Swafford, & Findell, 2001; National Council of Teachers of Mathematics, 1989, 2000; National Mathematics Advisory Panel [NMAP], 2008). These relationships, along with the interrelated topics of fractions, decimals,…

Reading, Mathematics, and Behavioral Difficulties Interrelate: Evidence from a Cross-Lagged Panel Design and Population-Based Sample of US Upper Elementary Students

ERIC Educational Resources Information Center

Lin, Yu-Chu; Morgan, Paul L.; Hillemeier, Marianne; Cook, Michael; Maczuga, Steve; Farkas, George

2013-01-01

We examined three questions. First, do reading difficulties increase children's risk of behavioral difficulties? Second, do behavioral difficulties increase children's risk of reading difficulties? Third, do mathematics difficulties increase children's risk of reading or behavioral difficulties? We investigated these questions using (a) a sample…

Influence of Property School Wealth on Fifth Grade Student Achievement in Reading and Mathematics

ERIC Educational Resources Information Center

Reyna, Jesus R.

2015-01-01

The purpose of this study was to investigate whether, or to what extent, property wealth of the upper and lower 5% districts, per pupil expenditure, limited English proficient students, economically disadvantaged students, membership, and teacher experience contribute to student achievement in 5th grade reading and mathematics. To do this, the…

[Application of a mathematical algorithm for the detection of electroneuromyographic results in the pathogenesis study of facial dyskinesia].

PubMed

Gribova, N P; Iudel'son, Ia B; Golubev, V L; Abramenkova, I V

2003-01-01

To carry out a differential diagnosis of two facial dyskinesia (FD) models--facial hemispasm (FH) and facial paraspasm (FP), a combined program of electroneuromyographic (ENMG) examination has been created, using statistical analyses, including that for objects identification based on hybrid neural network with the application of adaptive fuzzy logic method and standard statistics programs (Wilcoxon, Student statistics). In FH, a lesion of peripheral facial neuromotor apparatus with augmentation of functions of inter-neurons in segmental and upper segmental stem levels predominated. In FP, primary afferent strengthening in mimic muscles was accompanied by increased motor neurons activity and reciprocal augmentation of inter-neurons, inhibiting motor portion of V pair. Mathematical algorithm for ENMG results recognition worked out in the study provides a precise differentiation of two FD models and opens possibilities for differential diagnosis of other facial motor disorders.

Cross-National Achievement Comparisons of Upper-Secondary Students: A Swiss Perspective.

ERIC Educational Resources Information Center

Ramseier, Erich

This paper shows how the Third International Mathematics and Science Study (TIMSS) can be carried out in a country with a very complicated upper-secondary educational system. The difficulties are not linked to the measurement of achievement, since the international project provides a common achievement scale. The challenge lies in the design of…

Finnish Upper Secondary Students' Collaborative Processes in Learning Statistics in a CSCL Environment

ERIC Educational Resources Information Center

Oikarinen, Juho Kaleva; Järvelä, Sanna; Kaasila, Raimo

2014-01-01

This design-based research project focuses on documenting statistical learning among 16-17-year-old Finnish upper secondary school students (N = 78) in a computer-supported collaborative learning (CSCL) environment. One novel value of this study is in reporting the shift from teacher-led mathematical teaching to autonomous small-group learning in…

The expression and comparison of healthy and ptotic upper eyelid contours using a polynomial mathematical function.

PubMed

Mocan, Mehmet C; Ilhan, Hacer; Gurcay, Hasmet; Dikmetas, Ozlem; Karabulut, Erdem; Erdener, Ugur; Irkec, Murat

2014-06-01

To derive a mathematical expression for the healthy upper eyelid (UE) contour and to use this expression to differentiate the normal UE curve from its abnormal configuration in the setting of blepharoptosis. The study was designed as a cross-sectional study. Fifty healthy subjects (26M/24F) and 50 patients with blepharoptosis (28M/22F) with a margin-reflex distance (MRD1) of ≤2.5 mm were recruited. A polynomial interpolation was used to approximate UE curve. The polynomial coefficients were calculated from digital eyelid images of all participants using a set of operator defined points along the UE curve. Coefficients up to the fourth-order polynomial, iris area covered by the UE, iris area covered by the lower eyelid and total iris area covered by both the upper and the lower eyelids were defined using the polynomial function and used in statistical comparisons. The t-test, Mann-Whitney U test and the Spearman's correlation test were used for statistical comparisons. The mathematical expression derived from the data of 50 healthy subjects aged 24.1 ± 2.6 years was defined as y = 22.0915 + (-1.3213)x + 0.0318x(2 )+ (-0.0005x)(3). The fifth and the consecutive coefficients were <0.00001 in all cases and were not included in the polynomial function. None of the first fourth-order coefficients of the equation were found to be significantly different in male versus female subjects. In normal subjects, the percentage of the iris area covered by upper and lower lids was 6.46 ± 5.17% and 0.66% ± 1.62%, respectively. All coefficients and mean iris area covered by the UE were significantly different between healthy and ptotic eyelids. The healthy and abnormal eyelid contour can be defined and differentiated using a polynomial mathematical function.

The Arithmetic Project Course for Teachers - 8. Topic: Lower Brackets and Upper Brackets. Supplement: Arithmetic With Frames.

ERIC Educational Resources Information Center

Education Development Center, Inc., Newton, MA.

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…

Identification of Upper and Lower Level Yield Strength in Materials.

PubMed

Valíček, Jan; Harničárová, Marta; Kopal, Ivan; Palková, Zuzana; Kušnerová, Milena; Panda, Anton; Šepelák, Vladimír

2017-08-23

This work evaluates the possibility of identifying mechanical parameters, especially upper and lower yield points, by the analytical processing of specific elements of the topography of surfaces generated with abrasive waterjet technology. We developed a new system of equations, which are connected with each other in such a way that the result of a calculation is a comprehensive mathematical-physical model, which describes numerically as well as graphically the deformation process of material cutting using an abrasive waterjet. The results of our model have been successfully checked against those obtained by means of a tensile test. The main prospect for future applications of the method presented in this article concerns the identification of mechanical parameters associated with the prediction of material behavior. The findings of this study can contribute to a more detailed understanding of the relationships: material properties-tool properties-deformation properties.

Peer-to-Peer Instruction with Interactive Demonstrations in Upper Level Astronomy Courses

NASA Astrophysics Data System (ADS)

Gelderman, Richard

2013-06-01

Spectral and polarization properties of light are topics that most intro physics courses barely touch. Students therefore rarely have any useful experience to draw on when those topics come up in an upper level astronomy class. This means that they approach problems dealing with spectra or polarization as plug-and-chug mathematics applications, devoid of physical context. We have been addressing such dilemmas by using interactive demonstrations in the lecture meeting to give students direct experience with polarization filters, diffraction gratings, spectral sources, and situations requiring them to analyze sources based on the observed polarization of spectral properties. Each student individually predicts the outcomes for a demonstration. Students then collaborate within in a group of three to discuss their prediction, reporting the group’s consensus prediction. After observing the demonstration, students in the group compare their predictions to the results, and attempt to explain the phenomena. Based on curricular reforms in physics education, these methods have provided our students with the ability to much more than just manipulate equations related to spectroscopic and polarization analysis.

A mathematical model for human brain cooling during cold-water near-drowning.

PubMed

Xu, X; Tikuisis, P; Giesbrecht, G

1999-01-01

A two-dimensional mathematical model was developed to estimate the contributions of different mechanisms of brain cooling during cold-water near-drowning. Mechanisms include 1) conductive heat loss through tissue to the water at the head surface and in the upper airway and 2) circulatory cooling to aspirated water via the lung and via venous return from the scalp. The model accounts for changes in boundary conditions, blood circulation, respiratory ventilation of water, and head size. Results indicate that conductive heat loss through the skull surface or the upper airways is minimal, although a small child-sized head will conductively cool faster than a large adult-sized head. However, ventilation of cold water may provide substantial brain cooling through circulatory cooling. Although it seems that water breathing is required for rapid "whole" brain cooling, it is possible that conductive cooling may provide some advantage by cooling the brain cortex peripherally and the brain stem centrally via the upper airway.

Influence of arousal threshold and depth of sleep on respiratory stability in man: analysis using a mathematical model.

PubMed

Longobardo, G S; Evangelisti, C J; Cherniack, N S

2009-12-01

We examined the effect of arousals (shifts from sleep to wakefulness) on breathing during sleep using a mathematical model. The model consisted of a description of the fluid dynamics and mechanical properties of the upper airways and lungs, as well as a controller sensitive to arterial and brain changes in CO(2), changes in arterial oxygen, and a neural input, alertness. The body was divided into multiple gas store compartments connected by the circulation. Cardiac output was constant, and cerebral blood flows were sensitive to changes in O(2) and CO(2) levels. Arousal was considered to occur instantaneously when afferent respiratory chemical and neural stimulation reached a threshold value, while sleep occurred when stimulation fell below that value. In the case of rigid and nearly incompressible upper airways, lowering arousal threshold decreased the stability of breathing and led to the occurrence of repeated apnoeas. In more compressible upper airways, to maintain stability, increasing arousal thresholds and decreasing elasticity were linked approximately linearly, until at low elastances arousal thresholds had no effect on stability. Increased controller gain promoted instability. The architecture of apnoeas during unstable sleep changed with the arousal threshold and decreases in elasticity. With rigid airways, apnoeas were central. With lower elastances, apnoeas were mixed even with higher arousal thresholds. With very low elastances and still higher arousal thresholds, sleep consisted totally of obstructed apnoeas. Cycle lengths shortened as the sleep architecture changed from mixed apnoeas to total obstruction. Deeper sleep also tended to promote instability by increasing plant gain. These instabilities could be countered by arousal threshold increases which were tied to deeper sleep or accumulated aroused time, or by decreased controller gains.

The Math Essential Skills Screener--Upper Elementary Version (MESS-U): Studies of Reliability and Validity

ERIC Educational Resources Information Center

Erford, Bradley T.; Biddison, Amanda R.

2006-01-01

The Math Essential Skills Screener--Upper Elementary Version (MESS-U) is part of a series of screening tests designed to help identify students ages 9-11 who are at risk for mathematics failure. Internal consistency, test-retest reliability, item analysis, decision efficiency, convergent validity and factorial validity of the MESS-U were studied…

Interest, Attitudes and Self-Efficacy Beliefs Explaining Upper-Secondary School Students' Orientation Towards Biology-Related Careers

ERIC Educational Resources Information Center

Uitto, Anna

2014-01-01

The aim of the study was to discover the contribution of students' interest in school biology, as well as their self-efficacy and attitudes towards different science subjects and mathematics when explaining students' orientation towards biology-related careers at upper-secondary school. The data of 321 K-11 students (49% women) were…

Choices and Changes: Eccles' Expectancy-Value Model and Upper-Secondary School Students' Longitudinal Reflections about Their Choice of a STEM Education

ERIC Educational Resources Information Center

Lykkegaard, Eva; Ulriksen, Lars

2016-01-01

During the past 30 years, Eccles' comprehensive social-psychological Expectancy-Value Model of Motivated Behavioural Choices (EV-MBC model) has been proven suitable for studying educational choices related to Science, Technology, Engineering and/or Mathematics (STEM). The reflections of 15 students in their last year in upper-secondary school…

AccessScope project: Accessible light microscope for users with upper limb mobility or visual impairments.

PubMed

Mansoor, Awais; Ahmed, Wamiq M; Samarapungavan, Ala; Cirillo, John; Schwarte, David; Robinson, J Paul; Duerstock, Bradley S

2010-01-01

A web-based application was developed to remotely view slide specimens and control all functions of a research-level light microscopy workstation, called AccessScope. Students and scientists with upper limb mobility and visual impairments are often unable to use a light microscope by themselves and must depend on others in its operation. Users with upper limb mobility impairments and low vision were recruited to assist in the design process of the AccessScope personal computer (PC) user interface. Participants with these disabilities were evaluated in their ability to use AccessScope to perform microscopical tasks. AccessScope usage was compared with inspecting prescanned slide images by grading participants' identification and understanding of histological features and knowledge of microscope operation. With AccessScope subjects were able to independently perform common light microscopy functions through an Internet browser by employing different PC pointing devices or accessibility software according to individual abilities. Subjects answered more histology and microscope usage questions correctly after first participating in an AccessScope test session. AccessScope allowed users with upper limb or visual impairments to successfully perform light microscopy without assistance. This unprecedented capability is crucial for students and scientists with disabilities to perform laboratory coursework or microscope-based research and pursue science, technology, engineering, and mathematics fields.

Impact of the Developing Mathematical Ideas Professional Development Program on Grade 4 Students' and Teachers' Understanding of Fractions. REL 2017-256

ERIC Educational Resources Information Center

Jayanthi, Madhavi; Gersten, Russell; Taylor, Mary Jo; Smolkowski, Keith; Dimino, Joseph

2017-01-01

Contemporary state math standards emphasize that students must demonstrate an understanding of the mathematical ideas underlying the computations that have typically been the core of the elementary school math curriculum. The standards have put an increased emphasis on the study of fractions in upper elementary grades, which are the years during…

The Role of Teacher Characteristics and Practices on Upper Secondary School Students' Mathematics Self-Efficacy in Nyanza Province of Kenya: A Multilevel Analysis

ERIC Educational Resources Information Center

Bagaka's, Joshua Gisemba

2011-01-01

The study identified two dimensions of teacher self-efficacy and practices and five dimensions of students' mathematics self-efficacy and sought to determine the extent to which teacher characteristics and practices can enhance secondary school students' self-efficacy. Data were collected from 13,173 students in 193 teachers' classrooms from 141…

Low back pain at school: unique risk deriving from unsatisfactory grade in maths and school-type recommendation.

PubMed

Erne, Cordula; Elfering, Achim

2011-12-01

Psychosocial stress and pain may relate to educational selection. At the end of primary school (International Standard Classification of Education: ISCED level 1) children are recommended for one of three performance-based lower secondary level types of school (ISCED level 2). The study examines the association of educational selection and other risk factors with pain in the upper back (UBP), lower back pain (LBP), peripheral (limb) pain (PP), and abdominal pain (AP). Teacher reports of unsatisfactory grades in mathematics, and official school-type recommendation are included as objective psychosocial risk factors. One hundred and ninety-two schoolchildren, aged between 10 and 13 from 11 classes of 7 schools in Switzerland participated in the cross-sectional study. In logistic regression analysis, predictor variables included age, sex, BMI, participation in sport, physical mobility, weight of satchel, hours of daily TV, video, and computer use, pupils' back pain reported by the mother and father, psychosocial strain, unsatisfactory grade in mathematics, and school-type recommendation. Analysis of pain drawings was highly reliable and revealed high prevalence rates of musculoskeletal pain in the last 4 weeks (UBP 15.3%, LBP 13:8%, PP 33.9%, AP 20.1%). Psychosocial risk factors were uniquely significant predictors of UBP (psychosocial strain), LBP (psychosocial strain, unsatisfactory grade in mathematics, school-type recommendation), and AP (school-type recommendation). In conclusion, selection in terms of educational school system was uniquely associated with LBP in schoolchildren. Stress caused by educational selection should be addressed in primary prevention of musculoskeletal pain in schoolchildren.

Mathematizing Process of Junior High School Students to Improve Mathematics Literacy Refers PISA on RCP Learning

NASA Astrophysics Data System (ADS)

Wardono; Mariani, S.; Hendikawati, P.; Ikayani

2017-04-01

Mathematizing process (MP) is the process of modeling a phenomenon mathematically or establish the concept of a phenomenon. There are two mathematizing that is Mathematizing Horizontal (MH) and Mathematizing Vertical (MV). MH as events changes contextual problems into mathematical problems, while MV is the process of formulation of the problem into a variety of settlement mathematics by using some appropriate rules. Mathematics Literacy (ML) is the ability to formulate, implement and interpret mathematics in various contexts, including the capacity to perform reasoning mathematically and using the concepts, procedures, and facts to describe, explain or predict phenomena incident. If junior high school students are conditioned continuously to conduct mathematizing activities on RCP (RME-Card Problem) learning, it will be able to improve ML that refers PISA. The purpose of this research is to know the capability of the MP grade VIII on ML content shape and space with the matter of the cube and beams with RCP learning better than the scientific learning, upgrade MP grade VIII in the issue of the cube and beams with RCP learning better than the scientific learning in terms of cognitive styles reflective and impulsive the MP grade VIII with the approach of the RCP learning in terms of cognitive styles reflective and impulsive This research is the mixed methods model concurrent embedded. The population in this study, i.e., class VIII SMPN 1 Batang with sample two class. Data were taken with the observation, interviews, and tests and analyzed with a different test average of one party the right qualitative and descriptive. The results of this study demonstrate the capability of the MP student with RCP learning better than the scientific learning, upgrade MP with RCP learning better compare with scientific learning in term cognitive style of reflective and impulsive. The subject of the reflective group top, middle, and bottom can meet all the process of MH indicators are then the subject of the reflective upper and intermediate group can meet all the MV indicators but to lower groups can only fulfill some MV indicators. The subject is impulsive upper and middle group can meet all the MH indicators but to lower groups can only meet some MH indicator, then the subject is impulsive group can meet all the MV indicators but for middle and the bottom group can only fulfill some MV indicators.

The Estimation of the IRT Reliability Coefficient and Its Lower and Upper Bounds, with Comparisons to CTT Reliability Statistics

ERIC Educational Resources Information Center

Kim, Seonghoon; Feldt, Leonard S.

2010-01-01

The primary purpose of this study is to investigate the mathematical characteristics of the test reliability coefficient rho[subscript XX'] as a function of item response theory (IRT) parameters and present the lower and upper bounds of the coefficient. Another purpose is to examine relative performances of the IRT reliability statistics and two…

Finnish Primary and Secondary School Students' Interest in Music and Mathematics Relating to Enjoyment of the Subject and Perception of the Importance and Usefulness of the Subject

ERIC Educational Resources Information Center

Tossavainen, Timo; Juvonen, Antti

2015-01-01

Based on an expectancy-value theoretical framework and data (n = 1654) collected in 29 Finnish municipalities using a structured questionnaire, this study examines primary (grades 5-6), lower secondary (grades 7-9) and upper secondary (grades 10-12) students' motivation in music and mathematics. It explores in detail the students' interest in…

A pedagogical example of second-order arithmetic sequences applied to the construction of computer passwords by upper elementary grade students

NASA Astrophysics Data System (ADS)

Coggins, Porter E.

2015-04-01

The purpose of this paper is (1) to present how general education elementary school age students constructed computer passwords using digital root sums and second-order arithmetic sequences, (2) argue that computer password construction can be used as an engaging introduction to generate interest in elementary school students to study mathematics related to computer science, and (3) share additional mathematical ideas accessible to elementary school students that can be used to create computer passwords. This paper serves to fill a current gap in the literature regarding the integration of mathematical content accessible to upper elementary school students and aspects of computer science in general, and computer password construction in particular. In addition, the protocols presented here can serve as a hook to generate further interest in mathematics and computer science. Students learned to create a random-looking computer password by using biometric measurements of their shoe size, height, and age in months and to create a second-order arithmetic sequence, then converted the resulting numbers into characters that become their computer passwords. This password protocol can be used to introduce students to good computer password habits that can serve a foundation for a life-long awareness of data security. A refinement of the password protocol is also presented.

EMG-Torque correction on Human Upper extremity using Evolutionary Computation

NASA Astrophysics Data System (ADS)

JL, Veronica; Parasuraman, S.; Khan, M. K. A. Ahamed; Jeba DSingh, Kingsly

2016-09-01

There have been many studies indicating that control system of rehabilitative robot plays an important role in determining the outcome of the therapy process. Existing works have done the prediction of feedback signal in the controller based on the kinematics parameters and EMG readings of upper limb's skeletal system. Kinematics and kinetics based control signal system is developed by reading the output of the sensors such as position sensor, orientation sensor and F/T (Force/Torque) sensor and there readings are to be compared with the preceding measurement to decide on the amount of assistive force. There are also other works that incorporated the kinematics parameters to calculate the kinetics parameters via formulation and pre-defined assumptions. Nevertheless, these types of control signals analyze the movement of the upper limb only based on the movement of the upper joints. They do not anticipate the possibility of muscle plasticity. The focus of the paper is to make use of the kinematics parameters and EMG readings of skeletal system to predict the individual torque of upper extremity's joints. The surface EMG signals are fed into different mathematical models so that these data can be trained through Genetic Algorithm (GA) to find the best correlation between EMG signals and torques acting on the upper limb's joints. The estimated torque attained from the mathematical models is called simulated output. The simulated output will then be compared with the actual individual joint which is calculated based on the real time kinematics parameters of the upper movement of the skeleton when the muscle cells are activated. The findings from this contribution are extended into the development of the active control signal based controller for rehabilitation robot.

Role of mathematical models in assessment of risk and in attempts to define management strategy.

PubMed

Flamm, W G; Winbush, J S

1984-06-01

Risk assessment of food-borne carcinogens is becoming a common practice at FDA. Actual risk is not being estimated, only the upper limit of risk. The risk assessment process involves a large number of steps and assumptions, many of which affect the numerical value estimated. The mathematical model which is to be applied is only one of the factors which affect these numerical values. To fulfill the policy objective of using the "worst plausible case" in estimating the upper limit of risk, recognition needs to be given to a proper balancing of assumptions and decisions. Interaction between risk assessors and risk managers should avoid making or giving the appearance of making specific technical decisions such as the choice of the mathematical model. The importance of this emerging field is too great to jeopardize it by inappropriately mixing scientific judgments with policy judgments. The risk manager should understand fully the points and range of uncertainty involved in arriving at the estimates of risk which must necessarily affect the choice of the policy or regulatory options available.

Video Analysis of a Plucked String: An Example of Problem-based Learning

NASA Astrophysics Data System (ADS)

Wentworth, Christopher D.; Buse, Eric

2009-11-01

Problem-based learning is a teaching methodology that grounds learning within the context of solving a real problem. Typically the problem initiates learning of concepts rather than simply being an application of the concept, and students take the lead in identifying what must be developed to solve the problem. Problem-based learning in upper-level physics courses can be challenging, because of the time and financial requirements necessary to generate real data. Here, we present a problem that motivates learning about partial differential equations and their solution in a mathematical methods for physics course. Students study a plucked elastic cord using high speed digital video. After creating video clips of the cord motion under different tensions they are asked to create a mathematical model. Ultimately, students develop and solve a model that includes damping effects that are clearly visible in the videos. The digital video files used in this project are available on the web at http://physics.doane.edu .

The transformation of primary school science and mathematics: A cross-national analysis, 1900-1995

NASA Astrophysics Data System (ADS)

McEneaney, Elizabeth H.

1998-12-01

The global rise of the liberal individualist polity produces several broad cultural changes that influence the content of mass educational curricula, and that do so on a worldwide basis. First, there is a dramatic broadening of the range of persons constituted as actors, so that subjects such as science are seen as relevant for everyone. Second, the cultural domain of science and mathematics expands so that they are understood to provide solutions to personal and societal problems of all kinds. A critical tension arises, however, since science also becomes increasingly differentiated, such that expertise becomes defined in ever-narrower fields. I argue that these global cultural changes transform the content and style of primary science and mathematics textbooks. World-polity theory guides the interpretation of a content analysis of upper elementary level textbooks from over 50 nations, published between 1900 and 1995. Science textbooks become much more participatory in their orientations over the course of the century, fully incorporating individual actors (with large increases, for example, in the inclusion of girls and women) and hands-on activities. School science also becomes more culturally accessible through an emphasis on personal relevance and humor or fun. Thus, science is portrayed as a truly human endeavor rather than as a body of knowledge unsullied by human experience. The trends are similar, though somewhat more muted, for mathematics. At the same time, the study shows that school science and mathematics retain a significant emphasis on disciplinary expertise, reflecting the increasingly specialized and technocratic nature of science. Multivariate statistical analyses support the claim that the construction of modern curricular materials such as textbooks is highly sensitive to various kinds of organizational, cultural, and professional linkages to world society. This helps explain why the data show that changes tend to be worldwide. In contrast, characteristics of individual nation-states tend to be relatively weak correlates of textbook content. I argue that the trends shown in science and mathematics are most accurately seen as part of a wider shift in curricular content, cutting across all subject areas and extending through university-level curricula.

Integrative Approach for a Transformative Freshman-Level STEM Curriculum

PubMed Central

Curran, Kathleen L.; Olsen, Paul E.; Nwogbaga, Agashi P.; Stotts, Stephanie

2016-01-01

In 2014 Wesley College adopted a unified undergraduate program of evidence-based high-impact teaching practices. Through foundation and federal and state grant support, the college completely revised its academic core curriculum and strengthened its academic support structures by including a comprehensive early alert system for at-risk students. In this core, science, technology, engineering, and mathematics (STEM) faculty developed fresh manifestations of integrated concept-based introductory courses and revised upper-division STEM courses around student-centered learning. STEM majors can participate in specifically designed paid undergraduate research experiences in directed research elective courses. Such a college-wide multi-tiered approach results in institutional cultural change. PMID:27064213

DOE Office of Scientific and Technical Information (OSTI.GOV)

Patnaik, P. C.

The SIGMET mesoscale meteorology simulation code represents an extension, in terms of physical modelling detail and numerical approach, of the work of Anthes (1972) and Anthes and Warner (1974). The code utilizes a finite difference technique to solve the so-called primitive equations which describe transient flow in the atmosphere. The SIGMET modelling contains all of the physics required to simulate the time dependent meteorology of a region with description of both the planetary boundary layer and upper level flow as they are affected by synoptic forcing and complex terrain. The mathematical formulation of the SIGMET model and the various physicalmore » effects incorporated into it are summarized.« less

Applied Mathematics for agronomical engineers in Spain at UPM

NASA Astrophysics Data System (ADS)

Anton, J. M.; Grau, J. B.; Tarquis, A. M.; Fabregat, J.; Sanchez, M. E.

2009-04-01

Mathematics, created or discovered, are a global human conceptual endowment, containing large systems of knowledge, and varied skills to use definite parts of them, in creation or discovery, or for applications, e.g. in Physics, or notably in engineering behaviour. When getting upper intellectual levels in the 19th century, the agronomical science and praxis was noticeably or mainly organised in Spain in agronomical engineering schools and also in institutes, together with technician schools, also with different lower lever centres, and they have evolved with progress and they are much changing at present to a EEES schema (Bolonia process). They work in different lines that need some basis or skills from mathematics. The vocation to start such careers, that have varied curriculums, contains only some mathematics, and the number of credits for mathematics is restrained because time is necessary for other initial sciences such as applied chemistry, biology, ecology and soil sciences, but some basis and skill of maths are needed, also with Physics, at least for electricity, machines, construction, economics at initial ground levels, and also for Statistics that are here considered part of Applied Mathematics. The ways of teaching mathematical basis and skills are especial, and are different from the practical ways needed e. g. for Soil Sciences, and they involve especial efforts from students, and especial controls or exams that guide much learning. The mathematics have a very large accepted content that uses mostly a standard logic, and that is remarkably stable and international, rather similar notation and expressions being used with different main languages. For engineering the logical basis is really often not taught, but the use of it is transferred, especially for calculus that requires both adapted somehow simplified schemas and the learning of a specific skill to use it, and also for linear algebra. The basic forms of differential calculus in several variables are an example, maybe since Leibnitz, of the difficulty of balance rigor and usefulness in limited hours of teaching. In part engineers use of mathematics with manuals and now with computers that use packages, general (MAPLE, MATLAB, may be MATHCAD, et. C. ) or specific, such as for Statistics, Topography, Structural design, Hydraulics, specific Machines,…, and mostly the details of the algorithms are hidden, but the engineer must have in mind the basic mathematical schemas justifying what he is constructing with these tools, the PC being also used for organisation and drawing. The engineers must adapt to the evolution of these packages and computers that get much changed and improved in five or ten years, quicker than the specific engineering environment, and a clear idea of the much more stable mathematical structures behind gives a solid mental ground for that. An initiation to using computers also with a mathematical structure behind is necessary, to be followed in professional life. A specific actualisation of mathematical knowledge is often necessary for some new applications.

Profile of mathematics anxiety of 7th graders

NASA Astrophysics Data System (ADS)

Udil, Patrisius Afrisno; Kusmayadi, Tri Atmojo; Riyadi

2017-08-01

Mathematics anxiety is one of the important factors affect students mathematics achievement. This present research investigates profile of students' mathematics anxiety. This research focuses on analysis and description of students' mathematics anxiety level generally and its dominant domain and aspect. Qualitative research with case study strategy was used in this research. Subject in this research involved 15 students of 7th grade chosen with purposive sampling. Data in this research were students' mathematics anxiety scale result, interview record, and observation result during both mathematics learning activity and test. They were asked to complete mathematics anxiety scale before interviewed and observed. The results show that generally students' mathematics anxiety was identified in the moderate level. In addition, students' mathematics anxiety during mathematics test was identified in the high level, but it was in the moderate level during mathematics learning process. Based on the anxiety domain, students have a high mathematics anxiety on cognitive domain, while it was in the moderate level for psychological and physiological domains. On the other hand, it was identified in low level for psychological domain during mathematics learning process. Therefore, it can be concluded that students have serious and high anxiety regarding mathematics on the cognitive domain and mathematics test aspect.

Monitoring of the Earth's surface deformation in the area of water dam Zarnowiec

NASA Astrophysics Data System (ADS)

Mojzes, Marcel; Wozniak, Marek; Habel, Branislav; Macak, Marek

2017-04-01

Mathematical and physical research directly motivates geodetic community which can provide very accurate measurements for testing of the proposed models Earth's surface motion near the water dams should be monitored due to the security of the area. This is a process which includes testing of existing models and their physical parameters. Change of the models can improve the practical results for analyzing the trends of motion in the area of upper reservoir of water dam Zarnowiec. Since 1998 Warsaw University of Technology realized a research focused on the horizontal displacements of the upper reservoir of water dam Zarnowiec. The 15 selected control points located on the upper reservoir crown of the water dam were monitored by classical distance measurements. It was found out that changes in the object's geometry occur due to the variation of the water level. The control measurements of the changes in the object's geometry occurring during the process of emptying and filling of the upper reservoir of water dam were compared with the deformations computed using improved Boussinesqués method programmed in the software MATLAB and ANSYS for elastic and isotropic half space as derivation of suitable potentials extended to the loaded region. The details and numerical results of this process are presented This presentation was prepared within the project "National Centre for Diagnostic of the Earth's Surface Deformations in the Area of Slovakia", ITMS code: 26220220108.

Bell scenarios in which nonlocality and entanglement are inversely related

NASA Astrophysics Data System (ADS)

Vallone, Giuseppe; Lima, Gustavo; Gómez, Esteban S.; Cañas, Gustavo; Larsson, Jan-Åke; Mataloni, Paolo; Cabello, Adán

2014-06-01

Several studies in recent years have demonstrated that upper-division students struggle with the mathematics of thermodynamics. This paper presents a task analysis based on several expert attempts to solve a challenging mathematics problem in thermodynamics. The purpose of this paper is twofold. First, we highlight the importance of cognitive task analysis for understanding expert performance and show how the epistemic games framework can be used as a tool for this type of analysis, with thermodynamics as an example. Second, through this analysis, we identify several issues related to thermodynamics that are relevant to future research into student understanding and learning of the mathematics of thermodynamics.

Improving the Graduate School Experience for Women in Mathematics: the Edge Program

NASA Astrophysics Data System (ADS)

Bozeman, Sylvia T.; Hughes, Rhonda J.

For over a decade, Spelman College and Bryn Mawr College have collaborated on initiatives designed to increase the presence of women, with a special focus on women of color, in the upper ranks of mathematical science. The most recent initiative is the EDGE Program (Enhancing Diversity in Graduate Education), which addresses this challenge by attempting to decrease the loss of talent from U.S. graduate programs. To this end, the program provides structures that help women make successful transitions from undergraduate into graduate mathematics programs, redirect or refocus their ambitions when programs are inappropriate or unsuitable, and, ultimately, enable them to "accumulate advantages" that will empower them and foster success in their careers. A broader goal of this program is to diversify the mathematics community by creating models for mathematics programs that allow people from all backgrounds and cultures to thrive, advance, and contribute to the profession.

Trading strategies for distribution company with stochastic distributed energy resources

DOE Office of Scientific and Technical Information (OSTI.GOV)

Zhang, Chunyu; Wang, Qi; Wang, Jianhui

2016-09-01

This paper proposes a methodology to address the trading strategies of a proactive distribution company (PDISCO) engaged in the transmission-level (TL) markets. A one-leader multi-follower bilevel model is presented to formulate the gaming framework between the PDISCO and markets. The lower-level (LL) problems include the TL day-ahead market and scenario-based real-time markets, respectively with the objectives of maximizing social welfare and minimizing operation cost. The upper-level (UL) problem is to maximize the PDISCO’s profit across these markets. The PDISCO’s strategic offers/bids interactively influence the outcomes of each market. Since the LL problems are linear and convex, while the UL problemmore » is non-linear and non-convex, an equivalent primal–dual approach is used to reformulate this bilevel model to a solvable mathematical program with equilibrium constraints (MPEC). The effectiveness of the proposed model is verified by case studies.« less

Hydrodynamic Influence Dabanhu River Bridge Holes Widening Based on Two-Dimensional Finite Element Numerical Model

NASA Astrophysics Data System (ADS)

Li, Dong Feng; Bai, Fu Qing; Nie, Hui

2018-06-01

In order to analyze the influence of bridge holes widening on hydrodynamic such as water level, a two-dimensional mathematical model was used to calculate the hydrodynamic factors, river network flow velocity vector distribution is given, water level and difference of bridge widening before and after is calculated and charted, water surface gradient in seven different river sections near the upper reaches of bridges is counted and revealed. The results of hydrodynamic calculation indicate that The Maximum and the minimum deducing numerical value of the water level after bridge widening is 0.028m, and 0.018m respective. the seven sections water surface gradient becomes smaller until it becomes negative, the influence of bridge widening on the upstream is basically over, the range of influence is about 450m from the bridge to the upstream. reach

Introductory life science mathematics and quantitative neuroscience courses.

PubMed

Duffus, Dwight; Olifer, Andrei

2010-01-01

We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an upper-division course in computational neuroscience. We provide a description of each course, detailed syllabi, examples of content, and a brief discussion of the main issues encountered in developing and offering the courses.

Introductory Life Science Mathematics and Quantitative Neuroscience Courses

PubMed Central

Olifer, Andrei

2010-01-01

We describe two sets of courses designed to enhance the mathematical, statistical, and computational training of life science undergraduates at Emory College. The first course is an introductory sequence in differential and integral calculus, modeling with differential equations, probability, and inferential statistics. The second is an upper-division course in computational neuroscience. We provide a description of each course, detailed syllabi, examples of content, and a brief discussion of the main issues encountered in developing and offering the courses. PMID:20810971

Transforming a fourth year modern optics course using a deliberate practice framework

NASA Astrophysics Data System (ADS)

Jones, David J.; Madison, Kirk W.; Wieman, Carl E.

2015-12-01

[This paper is part of the Focused Collection on Upper Division Physics Courses.] We present a study of active learning pedagogies in an upper-division physics course. This work was guided by the principle of deliberate practice for the development of expertise, and this principle was used in the design of the materials and the orchestration of the classroom activities of the students. We present our process for efficiently converting a traditional lecture course based on instructor notes into activities for such a course with active learning methods. Ninety percent of the same material was covered and scores on common exam problems showed a 15% improvement with an effect size greater than 1 after the transformation. We observe that the improvement and the associated effect size is sustained after handing off the materials to a second instructor. Because the improvement on exam questions was independent of specific problem topics and because the material tested was so mathematically advanced and broad (including linear algebra, Fourier transforms, partial differential equations, and vector calculus), we expect the transformation process could be applied to most upper-division physics courses having a similar mathematical base.

Making sense of quantum operators, eigenstates and quantum measurements

NASA Astrophysics Data System (ADS)

Gire, Elizabeth; Manogue, Corinne

2012-02-01

Operators play a central role in the formalism of quantum mechanics. In particular, operators corresponding to observables encode important information about the results of quantum measurements. We interviewed upper-level undergraduate physics majors about their understanding of the role of operators in quantum measurements. Previous studies have shown that many students think of measurements on quantum systems as being deterministic and that measurements mathematically correspond to operators acting on the initial quantum state. This study is consistent with and expands on those results. We report on how two students make sense of a quantum measurement problem involving sequential measurements and the role that the eigenvalue equation plays in this sense-making.

Stochastic user equilibrium model with a tradable credit scheme and application in maximizing network reserve capacity

NASA Astrophysics Data System (ADS)

Han, Fei; Cheng, Lin

2017-04-01

The tradable credit scheme (TCS) outperforms congestion pricing in terms of social equity and revenue neutrality, apart from the same perfect performance on congestion mitigation. This article investigates the effectiveness and efficiency of TCS on enhancing transportation network capacity in a stochastic user equilibrium (SUE) modelling framework. First, the SUE and credit market equilibrium conditions are presented; then an equivalent general SUE model with TCS is established by virtue of two constructed functions, which can be further simplified under a specific probability distribution. To enhance the network capacity by utilizing TCS, a bi-level mathematical programming model is established for the optimal TCS design problem, with the upper level optimization objective maximizing network reserve capacity and lower level being the proposed SUE model. The heuristic sensitivity analysis-based algorithm is developed to solve the bi-level model. Three numerical examples are provided to illustrate the improvement effect of TCS on the network in different scenarios.

Creative and algorithmic mathematical reasoning: effects of transfer-appropriate processing and effortful struggle

NASA Astrophysics Data System (ADS)

Jonsson, Bert; Kulaksiz, Yagmur C.; Lithner, Johan

2016-11-01

Two separate studies, Jonsson et al. (J. Math Behav. 2014;36: 20-32) and Karlsson Wirebring et al. (Trends Neurosci Educ. 2015;4(1-2):6-14), showed that learning mathematics using creative mathematical reasoning and constructing their own solution methods can be more efficient than if students use algorithmic reasoning and are given the solution procedures. It was argued that effortful struggle was the key that explained this difference. It was also argued that the results could not be explained by the effects of transfer-appropriate processing, although this was not empirically investigated. This study evaluated the hypotheses of transfer-appropriate processing and effortful struggle in relation to the specific characteristics associated with algorithmic reasoning task and creative mathematical reasoning task. In a between-subjects design, upper-secondary students were matched according to their working memory capacity.

From Loss of Memory to Poisson.

ERIC Educational Resources Information Center

Johnson, Bruce R.

1983-01-01

A way of presenting the Poisson process and deriving the Poisson distribution for upper-division courses in probability or mathematical statistics is presented. The main feature of the approach lies in the formulation of Poisson postulates with immediate intuitive appeal. (MNS)

Application of Adjusted Canonical Correlation Analysis (ACCA) to study the association between mathematics in Level 1 and Level 2 and performance of engineering disciplines in Level 2

NASA Astrophysics Data System (ADS)

Peiris, T. S. G.; Nanayakkara, K. A. D. S. A.

2017-09-01

Mathematics plays a key role in engineering sciences as it assists to develop the intellectual maturity and analytical thinking of engineering students and exploring the student academic performance has received great attention recently. The lack of control over covariates motivates the need for their adjustment when measuring the degree of association between two sets of variables in Canonical Correlation Analysis (CCA). Thus to examine the individual effects of mathematics in Level 1 and Level 2 on engineering performance in Level 2, two adjusted analyses in CCA: Part CCA and Partial CCA were applied for the raw marks of engineering undergraduates for three different disciplines, at the Faculty of Engineering, University of Moratuwa, Sri Lanka. The joint influence of mathematics in Level 1 and Level 2 is significant on engineering performance in Level 2 irrespective of the engineering disciplines. The individual effect of mathematics in Level 2 is significantly higher compared to the individual effect of mathematics in Level 1 on engineering performance in Level 2. Furthermore, the individual effect of mathematics in Level 1 can be negligible. But, there would be a notable indirect effect of mathematics in Level 1 on engineering performance in Level 2. It can be concluded that the joint effect of mathematics in both Level 1 and Level 2 is immensely beneficial to improve the overall academic performance at the end of Level 2 of the engineering students. Furthermore, it was found that the impact mathematics varies among engineering disciplines. As partial CCA and partial CCA are not widely explored in applied work, it is recommended to use these techniques for various applications.

Reference condition approach to restoration planning

USGS Publications Warehouse

Nestler, J.M.; Theiling, C.H.; Lubinski, S.J.; Smith, D.L.

2010-01-01

Ecosystem restoration planning requires quantitative rigor to evaluate alternatives, define end states, report progress and perform environmental benefits analysis (EBA). Unfortunately, existing planning frameworks are, at best, semi-quantitative. In this paper, we: (1) describe a quantitative restoration planning approach based on a comprehensive, but simple mathematical framework that can be used to effectively apply knowledge and evaluate alternatives, (2) use the approach to derive a simple but precisely defined lexicon based on the reference condition concept and allied terms and (3) illustrate the approach with an example from the Upper Mississippi River System (UMRS) using hydrologic indicators. The approach supports the development of a scaleable restoration strategy that, in theory, can be expanded to ecosystem characteristics such as hydraulics, geomorphology, habitat and biodiversity. We identify three reference condition types, best achievable condition (A BAC), measured magnitude (MMi which can be determined at one or many times and places) and desired future condition (ADFC) that, when used with the mathematical framework, provide a complete system of accounts useful for goal-oriented system-level management and restoration. Published in 2010 by John Wiley & Sons, Ltd.

Mathematical intelligence developed in math learning with classical backsound music of the classical era

NASA Astrophysics Data System (ADS)

Karlimah

2018-05-01

This study examines the application of classical music backsound in mathematics learning. The method used is quasi experimental design nonequivalent pretest-posttest control group in elementary school students in Tasikmalaya city, Indonesia. The results showed that classical music contributed significantly to the mathematical intelligence of elementary school students. The mathematical intelligence shown is in the cognitive ability ranging from the level of knowledge to evaluation. High level mathematical intelligence is shown by students in reading and writing integers with words and numbers. The low level of mathematical intelligence exists in projecting the story into a mathematical problem. The implication of this research is the use of classical music backsound on learning mathematics should pay attention to the level of difficulty of mathematics material being studied.

Contrasts in Mathematical Challenges in A-Level Mathematics and Further Mathematics, and Undergraduate Mathematics Examinations

ERIC Educational Resources Information Center

Darlington, Ellie

2014-01-01

This article describes part of a study which investigated the role of questions in students' approaches to learning mathematics at the secondary-tertiary interface, focussing on the enculturation of students at the University of Oxford. Use of the Mathematical Assessment Task Hierarchy taxonomy revealed A-level Mathematics and Further Mathematics…

Mathematics understanding and anxiety in collaborative teaching

NASA Astrophysics Data System (ADS)

Ansari, B. I.; Wahyu, N.

2017-12-01

This study aims to examine students’ mathematical understanding and anxiety using collaborative teaching. The sample consists of 51 students in the 7th-grade of MTs N Jeureula, one of the Islamic public junior high schools in Jeureula, Aceh, Indonesia. A test of mathematics understanding was administered to the students twice during the period of two months. The result suggests that there is a significant increase in mathematical understanding in the pre-test and post-test. We categorized the students into the high, intermediate, and low level of prior mathematics knowledge. In the high-level prior knowledge, there is no difference of mathematical understanding between the experiment and control group. Meanwhile, in the intermediate and low level of prior knowledge, there is a significant difference of mathematical understanding between the experiment and control group. The mathematics anxiety is at an intermediate level in the experiment class and at a high level in the control group. There is no interaction between the learning model and the students’ prior knowledge towards the mathematical understanding, but there are interactions towards the mathematics anxiety. It indicates that the collaborative teaching model and the students’ prior knowledge do not simultaneously impacts on the mathematics understanding but the mathematics anxiety.

Mathematics Anxiety and Preservice Elementary Teachers' Confidence to Teach Mathematics and Science

ERIC Educational Resources Information Center

Bursal, Murat; Paznokas, Lynda

2006-01-01

Sixty-five preservice elementary teachers' math anxiety levels and confidence levels to teach elementary mathematics and science were measured. The confidence scores of subjects in different math anxiety groups were compared and the relationships between their math anxiety levels and confidence levels to teach mathematics and science were…

32 CFR 901.5 - Academic examination requirements.

Code of Federal Regulations, 2010 CFR

2010-07-01

... Level 1 (Standard) Mathematics or Level II (Intensive) Mathematics. (Level 1 recommended for candidates without advanced high school mathematics.) (b) ACT. Candidates who elect to use the ACT tests must take the complete battery of tests: English, mathematics, social studies, and natural sciences. ...

Digital fabrication as an instructional technology for supporting upper elementary and middle school science and mathematics education

NASA Astrophysics Data System (ADS)

Tillman, Daniel

The purpose of this three-paper manuscript dissertation was to study digital fabrication as an instructional technology for supporting elementary and middle school science and mathematics education. Article one analyzed the effects of digital fabrication activities that were designed to contextualize mathematics education at a summer mathematics enrichment program for upper elementary and middle school students. The primary dependent variables studied were the participants' knowledge of mathematics and science content, attitudes towards STEM (science, technology, engineering, and mathematics) and STEM-related careers. Based upon the data collected, three results were presented as having justifiable supporting empirical evidence: (1) The digital fabrication activities, combined with the other mathematics activities at the enrichment program, resulted in non-significant overall gains in students' mathematics test scores and attitudes towards STEM. (2) The digital fabrication activities, combined with the other mathematics activities at the enrichment program, resulted in noteworthy gains on the "Probability & Statistics" questions. (3) Some students who did poorly on the scored paper test on mathematics and science content were nonetheless nominated by their teachers as demonstrating meritorious distinction during the digital fabrication activities (termed "Great Thinkers" by the 5th-grade teachers). Article two focused on how an instructional technology course featuring digital fabrication activities impacted (1) preservice elementary teachers' efficacy beliefs about teaching science, and (2) their attitudes and understanding of how to include instructional technology and digital fabrication activities into teaching science. The research design compared two sections of a teaching with technology course featuring digital fabrication activities to another section of the same course that utilized a media cycle framework (Bull & Bell, 2005) that did not feature digital fabrication activities. Based upon analysis of the data collected, two main results were determined to have justifiable supporting empirical evidence: (1) After the instructional technology course featuring digital fabrication activities, the participants reported statistically significant overall gains in science teaching efficacy beliefs. (2) When asked to describe their future plans for using three instructional technologies in their teaching, the top five most mentioned instructional technologies were: interactive whiteboards, video, class website, interactive online timeline, and digital fabrication. Of the participants that mentioned digital fabrication, the specific content areas mentioned were: history (four out of eight students mentioned), social studies (two out of eight), and science, math, engineering, and technology were each mentioned once. Article three assessed the impact of a series of lessons incorporating a NASA-themed transmedia book featuring digital fabrication activities on 5th-grade students who had been recognized as advanced in mathematics. The main dependent variables studied were the students' knowledge of science content from the Virginia Standards of Learning, attitude towards science, and student reported likes and dislikes about the project. Based upon analysis of the data collected, three main results were presented: (1) Students demonstrated significant positive gains in correct answers to questions on the topic of "Force, Matter, Energy, & Motion" from pretest to posttest. (2) There were nonsignificant gains reported by students on the attitude survey questions about attitude towards science, but this was chiefly because of one question that was significantly impacted in a negative direction. (3) Students articulated five main categories of likes and six main categories of dislikes of the experience, thereby providing insight into their own perception of some of the affordances and constraints of the educational activities. The five topics mentioned most often by students as self-reported likes about the experience included: hands-on activities including building, making, or designing (18 of 29 students mentioned; 62.1%), experimenting (9 of 29; 31.0%), presenting (9 of 29; 31.0%), drawing (6 of 29; 20.7%), and working in groups (6 of 29; 20.7%). The six topics most mentioned by students as self-reported dislikes about the experience included: taking tests (13 of 29 students mentioned; 44.8%), drawing (7 of 29; 24.1%), confusing / too fast (4 of 29; 13.8%), class discussions (4 of 29; 13.8%), reviewing (4 of 29; 13.8%), and attitude surveys (4 of 29; 13.8%). Cumulatively these three articles aim to contribute to the body of research studying the impact of digital fabrication as an instructional technology for supporting upper elementary and middle school science and mathematics education. This goal is described in greater detail in the "Manuscript Theme" section that begins on the next page. Keywords: STEM, digital fabrication, upper elementary science education, contextual mathematics, modeling-based science instruction, transmedia books, performance assessment, preservice elementary teacher education, science teaching efficacy beliefs

Gender differences in mathematics anxiety and the relation to mathematics performance while controlling for test anxiety

PubMed Central

2012-01-01

Background Mathematics anxiety (MA), a state of discomfort associated with performing mathematical tasks, is thought to affect a notable proportion of the school age population. Some research has indicated that MA negatively affects mathematics performance and that girls may report higher levels of MA than boys. On the other hand some research has indicated that boys’ mathematics performance is more negatively affected by MA than girls’ performance is. The aim of the current study was to measure girls’ and boys’ mathematics performance as well as their levels of MA while controlling for test anxiety (TA) a construct related to MA but which is typically not controlled for in MA studies. Methods Four-hundred and thirty three British secondary school children in school years 7, 8 and 10 completed customised mental mathematics tests and MA and TA questionnaires. Results No gender differences emerged for mathematics performance but levels of MA and TA were higher for girls than for boys. Girls and boys showed a positive correlation between MA and TA and a negative correlation between MA and mathematics performance. TA was also negatively correlated with mathematics performance, but this relationship was stronger for girls than for boys. When controlling for TA, the negative correlation between MA and performance remained for girls only. Regression analyses revealed that MA was a significant predictor of performance for girls but not for boys. Conclusions Our study has revealed that secondary school children experience MA. Importantly, we controlled for TA which is typically not controlled for in MA studies. Girls showed higher levels of MA than boys and high levels of MA were related to poorer levels of mathematics performance. As well as potentially having a detrimental effect on ‘online’ mathematics performance, past research has shown that high levels of MA can have negative consequences for later mathematics education. Therefore MA warrants attention in the mathematics classroom, particularly because there is evidence that MA develops during the primary school years. Furthermore, our study showed no gender difference in mathematics performance, despite girls reporting higher levels of MA. These results might suggest that girls may have had the potential to perform better than boys in mathematics however their performance may have been attenuated by their higher levels of MA. Longitudinal research is needed to investigate the development of MA and its effect on mathematics performance. PMID:22769743

Gender differences in mathematics anxiety and the relation to mathematics performance while controlling for test anxiety.

PubMed

Devine, Amy; Fawcett, Kayleigh; Szűcs, Dénes; Dowker, Ann

2012-07-09

Mathematics anxiety (MA), a state of discomfort associated with performing mathematical tasks, is thought to affect a notable proportion of the school age population. Some research has indicated that MA negatively affects mathematics performance and that girls may report higher levels of MA than boys. On the other hand some research has indicated that boys' mathematics performance is more negatively affected by MA than girls' performance is. The aim of the current study was to measure girls' and boys' mathematics performance as well as their levels of MA while controlling for test anxiety (TA) a construct related to MA but which is typically not controlled for in MA studies. Four-hundred and thirty three British secondary school children in school years 7, 8 and 10 completed customised mental mathematics tests and MA and TA questionnaires. No gender differences emerged for mathematics performance but levels of MA and TA were higher for girls than for boys. Girls and boys showed a positive correlation between MA and TA and a negative correlation between MA and mathematics performance. TA was also negatively correlated with mathematics performance, but this relationship was stronger for girls than for boys. When controlling for TA, the negative correlation between MA and performance remained for girls only. Regression analyses revealed that MA was a significant predictor of performance for girls but not for boys. Our study has revealed that secondary school children experience MA. Importantly, we controlled for TA which is typically not controlled for in MA studies. Girls showed higher levels of MA than boys and high levels of MA were related to poorer levels of mathematics performance. As well as potentially having a detrimental effect on 'online' mathematics performance, past research has shown that high levels of MA can have negative consequences for later mathematics education. Therefore MA warrants attention in the mathematics classroom, particularly because there is evidence that MA develops during the primary school years. Furthermore, our study showed no gender difference in mathematics performance, despite girls reporting higher levels of MA. These results might suggest that girls may have had the potential to perform better than boys in mathematics however their performance may have been attenuated by their higher levels of MA. Longitudinal research is needed to investigate the development of MA and its effect on mathematics performance.

Exploring the Earth System through online interactive models

NASA Astrophysics Data System (ADS)

Coogan, L. A.

2013-12-01

Upper level Earth Science students commonly have a strong background of mathematical training from Math courses, however their ability to use mathematical models to solve Earth Science problems is commonly limited. Their difficulty comes, in part, because of the nature of the subject matter. There is a large body of background ';conceptual' and ';observational' understanding and knowledge required in the Earth Sciences before in-depth quantification becomes useful. For example, it is difficult to answer questions about geological processes until you can identify minerals and rocks and understand the general geodynamic implications of their associations. However, science is fundamentally quantitative. To become scientists students have to translate their conceptual understanding into quantifiable models. Thus, it is desirable for students to become comfortable with using mathematical models to test hypotheses. With the aim of helping to bridging the gap between conceptual understanding and quantification I have started to build an interactive teaching website based around quantitative models of Earth System processes. The site is aimed at upper-level undergraduate students and spans a range of topics that will continue to grow as time allows. The mathematical models are all built for the students, allowing them to spend their time thinking about how the ';model world' changes in response to their manipulation of the input variables. The web site is divided into broad topics or chapters (Background, Solid Earth, Ocean and Atmosphere, Earth history) and within each chapter there are different subtopic (e.g. Solid Earth: Core, Mantle, Crust) and in each of these individual webpages. Each webpage, or topic, starts with an introduction to the topic, followed by an interactive model that the students can use sliders to control the input to and watch how the results change. This interaction between student and model is guided by a series of multiple choice questions that the student answers and immediately gets feedback whether the answer is correct or not. This way the students can ensure they understand the concepts before moving on. A discussion forum for the students to discuss the topics is in development and each page has a feedback option to allow both numerical (1-10) and written feedback on how useful the webpage was. By the end of exploring any given process students are expected to understand how the different parameters explored by the model interact to control the results. They should appreciate why the controlling equations look the way they do (all equations needed to develop the models are present in the introduction) and how these interact to control the results. While this is no substitute to students undertaking the calculations for themselves this approach allows a much wider range of topics to be explored quantitatively than if the students have to code all models themselves.

Preservice Elementary Mathematics Teachers' Level of Relating Mathematical Concepts in Daily Life Contexts

ERIC Educational Resources Information Center

Akkus, Oylum

2008-01-01

The purpose of this study was to investigate preservice elementary mathematics teachers' ability of relating mathematical concepts and daily life context. Two research questions were set; what is the preservice elementary mathematics teachers' level of relating mathematical concepts and daily life context regarding to their education year and…

An Analysis of Final Course Grades in Two Different Entry Level Mathematics Courses between and among First Year College Students with Different Levels of High School Mathematics Preparation

ERIC Educational Resources Information Center

Muir, Carrie

2012-01-01

The purpose of this study was to compare the performance of first year college students with similar high school mathematics backgrounds in two introductory level college mathematics courses, "Fundamentals and Techniques of College Algebra and Quantitative Reasoning and Mathematical Skills," and to compare the performance of students…

The Changing Profile of Entrants to Mathematics at A Level and to Mathematical Subjects in Higher Education.

ERIC Educational Resources Information Center

Kitchen, Ann

1999-01-01

Analyzes the characteristics of the British student population in mathematics at both the interface between the General Certificate of Secondary Education (GCSE) and A level and between A level and high education. Focuses on the changes in GCSE and A level mathematics, entry standards in higher education, and gender balance issues. (CMK)

Recent Changes in A-Level Mathematics: Is the Availability and Uptake of Mechanics Declining yet More?

ERIC Educational Resources Information Center

Lee, Stephen; Harrison, Martin C.; Robinson, Carol L.

2007-01-01

In the past 6 years changes have occurred in GCE A-levels. In particular, there have been several major changes in A-level Mathematics courses. As engineering students are usually required to have studied A-level Mathematics, or its equivalent, these changes have had an effect on their prior mathematical knowledge. Moreover, engineering students…

Secondary School Mathematics Teachers' Knowledge Levels and Use of History of Mathematics

ERIC Educational Resources Information Center

Bütüner, Suphi Önder

2018-01-01

This study describes secondary school mathematics teachers' use of history of mathematics in their classes and their knowledge levels in this field. The study population included a total of 58 secondary school mathematics teachers working at the secondary schools located in Yozgat city center, and the sample included 32 mathematics teachers from…

How Well Does A-Level Mathematics Prepare Students for the Mathematical Demands of Chemistry Degrees?

ERIC Educational Resources Information Center

Darlington, Ellie; Bowyer, Jessica

2016-01-01

332 undergraduate chemistry students were surveyed in order to establish whether they had found A-level Mathematics and/or Further Mathematics to be good preparation for their degree. Perceptions of both subjects were found to be positive, with more than 80% of participants describing Mathematics or Further Mathematics as good preparation. In…

Transient sequences in a hypernetwork generated by an adaptive network of spiking neurons.

PubMed

Maslennikov, Oleg V; Shchapin, Dmitry S; Nekorkin, Vladimir I

2017-06-28

We propose a model of an adaptive network of spiking neurons that gives rise to a hypernetwork of its dynamic states at the upper level of description. Left to itself, the network exhibits a sequence of transient clustering which relates to a traffic in the hypernetwork in the form of a random walk. Receiving inputs the system is able to generate reproducible sequences corresponding to stimulus-specific paths in the hypernetwork. We illustrate these basic notions by a simple network of discrete-time spiking neurons together with its FPGA realization and analyse their properties.This article is part of the themed issue 'Mathematical methods in medicine: neuroscience, cardiology and pathology'. © 2017 The Author(s).

Evaluation Report III: The Robert Noyce Scholarship Program at CSUB

ERIC Educational Resources Information Center

Wang, Jianjun

2013-01-01

California State University, Bakersfield (CSUB) received funding from National Science Foundation's (NSF) Robert Noyce Teacher Scholarship Program to recruit Noyce Scholars from upper-division science, technology, engineering, and mathematics (STEM) majors, graduate students, and professionals switched to STEM teaching from other fields (NSF…

The Symbolic World of Mathematics

ERIC Educational Resources Information Center

Lingefjärd, Thomas; Farahani, Djamshid

2017-01-01

In understanding upper secondary school students' interpretations of information in symbolic representations of a distance-time-relation, little attention has been paid to the analysis of the condition of the conceptual development related to utterances. Understanding this better can help improve the teaching of attribute and information in…

Use of CAS in secondary school: a factor influencing the transition to university-level mathematics?

NASA Astrophysics Data System (ADS)

Varsavsky, Cristina

2012-01-01

Australian secondary school systems offer three levels of senior (year 12) mathematics studies, none of them compulsory: elementary, intermediate and advanced. The intermediate and advanced studies prepare students for further mathematics studies at university level. In the state of Victoria, there are two versions of intermediate mathematics: one where students learn and are examined with a computer algebra system (CAS) and another where students can only use scientific calculators. This study compares the performance of 1240 students as they transitioned to traditional university-level mathematics and according to whether they learned intermediate mathematics with or without the assistance of a CAS. This study concludes that students without CAS show a slight advantage, but the most important factor affecting student performance is the uptake of advanced-level mathematics studies in secondary school.

The effect of studying A-level mathematics on performance in A-level physics

NASA Astrophysics Data System (ADS)

Rutter, Pam

1994-01-01

Mathematics plays an important part in physics at all levels. At A-level, physics candidates who do not study A-level mathematics would seem to be at a disadvantage. This article presents statistical evidence to support this widely held belief.

Students’ logical-mathematical intelligence profile

NASA Astrophysics Data System (ADS)

Arum, D. P.; Kusmayadi, T. A.; Pramudya, I.

2018-04-01

One of students’ characteristics which play an important role in learning mathematics is logical-mathematical intelligence. This present study aims to identify profile of students’ logical-mathematical intelligence in general and specifically in each indicator. It is also analyzed and described based on students’ sex. This research used qualitative method with case study strategy. The subjects involve 29 students of 9th grade that were selected by purposive sampling. Data in this research involve students’ logical-mathematical intelligence result and interview. The results show that students’ logical-mathematical intelligence was identified in the moderate level with the average score is 11.17 and 51.7% students in the range of the level. In addition, the level of both male and female students are also mostly in the moderate level. On the other hand, both male and female students’ logical-mathematical intelligence is strongly influenced by the indicator of ability to classify and understand patterns and relationships. Furthermore, the ability of comparison is the weakest indicator. It seems that students’ logical-mathematical intelligence is still not optimal because more than 50% students are identified in moderate and low level. Therefore, teachers need to design a lesson that can improve students’ logical-mathematical intelligence level, both in general and on each indicator.

A Comparison of the Cognitive and Personal Development of College-Level Mathematics Students and Developmental Mathematics Students at a Community College

ERIC Educational Resources Information Center

Smith, Bridgett Pressley

2010-01-01

Education is a major focal point of individual justice within a free society as well as a central point of human capital for the world. This study compared the cognitive and personal developmental levels of community college students enrolled in developmental-level mathematics courses to students enrolled in college-level mathematics courses. In…

Effect of Directed Study of Mathematics Vocabulary on Standardized Mathematics Assessment Questions

ERIC Educational Resources Information Center

Waite, Adel Marlane

2017-01-01

The problems under investigation included (a) Did a directed study of mathematics vocabulary significantly affect student performance levels on standardized mathematical questions? and (b) Did the strategies used in this study significantly affect student performance levels on standardized mathematical questions? The population consisted of…

Child-Level Predictors of Responsiveness to Evidence-Based Mathematics Intervention

ERIC Educational Resources Information Center

Powell, Sarah R.; Cirino, Paul T.; Malone, Amelia S.

2017-01-01

We identified child-level predictors of responsiveness to 2 types of mathematics intervention (calculation and word problem) among second-grade children with mathematics difficulty. Participants were 250 children in 107 classrooms in 23 schools pretested on mathematics and general cognitive measures and posttested on mathematics measures. We…

Use of CAS in Secondary School: A Factor Influencing the Transition to University-Level Mathematics?

ERIC Educational Resources Information Center

Varsavsky, Cristina

2012-01-01

Australian secondary school systems offer three levels of senior (year 12) mathematics studies, none of them compulsory: elementary, intermediate and advanced. The intermediate and advanced studies prepare students for further mathematics studies at university level. In the state of Victoria, there are two versions of intermediate mathematics: one…

Grey fuzzy optimization model for water quality management of a river system

NASA Astrophysics Data System (ADS)

Karmakar, Subhankar; Mujumdar, P. P.

2006-07-01

A grey fuzzy optimization model is developed for water quality management of river system to address uncertainty involved in fixing the membership functions for different goals of Pollution Control Agency (PCA) and dischargers. The present model, Grey Fuzzy Waste Load Allocation Model (GFWLAM), has the capability to incorporate the conflicting goals of PCA and dischargers in a deterministic framework. The imprecision associated with specifying the water quality criteria and fractional removal levels are modeled in a fuzzy mathematical framework. To address the imprecision in fixing the lower and upper bounds of membership functions, the membership functions themselves are treated as fuzzy in the model and the membership parameters are expressed as interval grey numbers, a closed and bounded interval with known lower and upper bounds but unknown distribution information. The model provides flexibility for PCA and dischargers to specify their aspirations independently, as the membership parameters for different membership functions, specified for different imprecise goals are interval grey numbers in place of a deterministic real number. In the final solution optimal fractional removal levels of the pollutants are obtained in the form of interval grey numbers. This enhances the flexibility and applicability in decision-making, as the decision-maker gets a range of optimal solutions for fixing the final decision scheme considering technical and economic feasibility of the pollutant treatment levels. Application of the GFWLAM is illustrated with case study of the Tunga-Bhadra river system in India.

Climate Science Program at California State University, Northridge

NASA Astrophysics Data System (ADS)

Steele Cox, H.; Klein, D.; Cadavid, A. C.; Foley, B.

2012-12-01

Due to its interdisciplinary nature, climate science poses wide-ranging challenges for science and mathematics students seeking careers in this field. There is a compelling need for universities to provide coherent programs in climate science in order to train future climate scientists. With funding from NASA Innovations in Climate Education (NICE), California State University, Northridge (CSUN), is creating the CSUN Climate Science Program. An interdisciplinary team of faculty members is working in collaboration with UCLA, Santa Monica College and NASA/JPL partners to create a new curriculum in climate science. The resulting sequence of climate science courses, or Pathway for studying the Mathematics of Climate Change (PMCC), is integrated into a Bachelor of Science degree program in the Applied Mathematical Sciences offered by the Mathematics Department at CSUN. The PMCC consists of courses offered by the departments of Mathematics, Physics, and Geography and is designed to prepare students for Ph.D. programs in technical fields relevant to global climate change and related careers. The students who choose to follow this program will be guided to enroll in the following sequence of courses for their 12 units of upper division electives: 1) A newly created course junior level course, Math 396CL, in applied mathematics which will introduce students to applications of vector calculus and differential equations to the study of thermodynamics and atmospheric dynamics. 2) An already existing course, Math 483, with new content on mathematical modeling specialized for this program; 3) An improved version of Phys 595CL on the mathematics and physics of climate change with emphasis on Radiative Transfer; 4) A choice of Geog 407 on Remote Sensing or Geog 416 on Climate Change with updated content to train the students in the analysis of satellite data obtained with the NASA Earth Observing System and instruction in the analysis of data obtained within a Geographical Information System (GIS). In addition the Geography department will similarly update the corresponding graduate courses on Remote Sensing, Geog 690D, and Climate Change Geog 620F, and there will be a reciprocal curriculum and data sharing collaboration with the Earth and Environmental Sciences program at Santa Monica College. Throughout the academic year a seminar series offers the students the opportunity to learn about ongoing work on Atmospheric Sciences and Climate and during the summer they have access to research experiences at NASA's Jet Propulsion Laboratory.

Designing Fuzzy Algorithms to Develop Healthy Dietary Pattern

PubMed Central

Asghari, Golaleh; Ejtahed, Hanieh-Sadat; Sarsharzadeh, Mohammad Mahdi; Nazeri, Pantea; Mirmiran, Parvin

2013-01-01

Background Fuzzy logic, a mathematical approach, defines the percentage of desirability for recommended amount of food groups and describes the range of intakes, from deficiency to excess. Objectives The purpose of this research was to find the best fuzzy dietary pattern that constraints energy and nutrients by the iterative algorithm. Materials and Methods An index is derived that reflects how closely the diet of an individual meets all the nutrient requirements set by the dietary reference intake. Fuzzy pyramid pattern was applied for the energy levels from 1000 to 4000 Kcal which estimated the range of recommended servings for seven food groups including fruits, vegetables, grains, meats, milk, oils, fat and added sugar. Results The optimum (lower attention – upper attention) recommended servings per day for fruits, vegetables, grain, meat, dairy, and oils of the 2000 kcal diet were 4.06 (3.75-4.25), 6.69 (6.25-7.00), 5.69 (5.75-6.25), 4.94 (4.5-5.2), 2.75(2.50-3.00), and 2.56 (2.5-2.75), respectively. The fuzzy pattern met most recommended nutrient intake levels except for potassium and vitamin E, which were estimated at 98% and 69% of the dietary reference intake, respectively. Conclusions Using fuzzy logic provides an elegant mathematical solution for finding the optimum point of food groups in dietary pattern. PMID:24454416

Supplemental Instruction in Physical Chemistry I

ERIC Educational Resources Information Center

Toby, Ellen; Scott, Timothy P.; Migl, David; Kolodzeji, Elizabeth

2016-01-01

Physical chemistry I at Texas A&M University is an upper division course requiring mathematical and analytical skills. As such, this course poses a major problem for many Chemistry, Engineering, Biochemistry and Genetics majors. Comparisons between participants and non-participants in Supplemental Instruction for physical chemistry were made…

Surface EMG signals based motion intent recognition using multi-layer ELM

NASA Astrophysics Data System (ADS)

Wang, Jianhui; Qi, Lin; Wang, Xiao

2017-11-01

The upper-limb rehabilitation robot is regard as a useful tool to help patients with hemiplegic to do repetitive exercise. The surface electromyography (sEMG) contains motion information as the electric signals are generated and related to nerve-muscle motion. These sEMG signals, representing human's intentions of active motions, are introduced into the rehabilitation robot system to recognize upper-limb movements. Traditionally, the feature extraction is an indispensable part of drawing significant information from original signals, which is a tedious task requiring rich and related experience. This paper employs a deep learning scheme to extract the internal features of the sEMG signals using an advanced Extreme Learning Machine based auto-encoder (ELMAE). The mathematical information contained in the multi-layer structure of the ELM-AE is used as the high-level representation of the internal features of the sEMG signals, and thus a simple ELM can post-process the extracted features, formulating the entire multi-layer ELM (ML-ELM) algorithm. The method is employed for the sEMG based neural intentions recognition afterwards. The case studies show the adopted deep learning algorithm (ELM-AE) is capable of yielding higher classification accuracy compared to the Principle Component Analysis (PCA) scheme in 5 different types of upper-limb motions. This indicates the effectiveness and the learning capability of the ML-ELM in such motion intent recognition applications.

Mathematics of gravitational lensing: multiple imaging and magnification

NASA Astrophysics Data System (ADS)

Petters, A. O.; Werner, M. C.

2010-09-01

The mathematical theory of gravitational lensing has revealed many generic and global properties. Beginning with multiple imaging, we review Morse-theoretic image counting formulas and lower bound results, and complex-algebraic upper bounds in the case of single and multiple lens planes. We discuss recent advances in the mathematics of stochastic lensing, discussing a general formula for the global expected number of minimum lensed images as well as asymptotic formulas for the probability densities of the microlensing random time delay functions, random lensing maps, and random shear, and an asymptotic expression for the global expected number of micro-minima. Multiple imaging in optical geometry and a spacetime setting are treated. We review global magnification relation results for model-dependent scenarios and cover recent developments on universal local magnification relations for higher order caustics.

Mathematics in Context: Opening the Gates to Mathematics for All at the Middle Level.

ERIC Educational Resources Information Center

Meyer, Margaret R.

1997-01-01

Describes Mathematics in Context, a middle-level mathematics curriculum developed by researchers at the University of Wisconsin-Madison and the University of Utrecht, in the Netherlands. Instead of proceeding from a generalization to specific examples, the math originates in real problems; conversely, the mathematics learned is used to solve…

Discussing Perception, Determining Provision: Teachers' Perspectives on the Applied Options of A-Level Mathematics

ERIC Educational Resources Information Center

Ward-Penny, Robert; Johnston-Wilder, Sue; Johnston-Wilder, Peter

2013-01-01

One-third of the current A-level mathematics curriculum is determined by choice, constructed out of "applied mathematics" modules in mechanics, statistics and decision mathematics. Although this choice arguably involves the most sizeable instance of choice in the current English school mathematics curriculum, and it has a significant…

Effect of Gender, Achievement in Mathematics, and Grade Level on Attitudes toward Mathematics.

ERIC Educational Resources Information Center

Tapia, Martha; Marsh, George E., II

The effects of gender, math achievement, and grade level on attitudes toward mathematics were examined by use of an inventory, Attitudes Toward Mathematics Instrument. Subjects were 803 bilingual, middle and high school students. The data were analyzed using a multivariate factorial model with four factors of Mathematics Attitudes as dependent…

A Voyage of Mathematical and Cultural Awareness for Students of Upper Secondary School

NASA Astrophysics Data System (ADS)

Panagiotou, Evangelos N.

2014-01-01

Many papers have emphasized the need for and importance of particular examples and the underlying rationale for introducing a historical dimension in mathematics education. This article presents the development and implementation of a project, based on original sources, in a situation where the existing curriculum does not include history. The subject was conic sections and the motivating problems and original work which eventually found resolution in modern concepts. The project was carried out during the school year 2006-2007 with 18 students of a Greek experimental high school 2nd class (11th degree). It was devised as a series of worksheets, separate readings and oral presentations and written essays so that students might appreciate that mathematics evolves under the influence of factors intrinsic and extrinsic to it. Both epistemological and disciplinary issues are taken into account. Even though this work is just one case study, we have found that exposing students directly to primary sources in mathematics contributes greatly to motivation and understanding, and illustrates the nature of mathematics as a discipline and as a human endeavour.

Post-primary students' images of mathematics: findings from a survey of Irish ordinary level mathematics students

NASA Astrophysics Data System (ADS)

Lane, Ciara; Stynes, Martin; O'Donoghue, John

2016-10-01

A questionnaire survey was carried out as part of a PhD research study to investigate the image of mathematics held by post-primary students in Ireland. The study focused on students in fifth year of post-primary education studying ordinary level mathematics for the Irish Leaving Certificate examination - the final examination for students in second-level or post-primary education. At the time this study was conducted, ordinary level mathematics students constituted approximately 72% of Leaving Certificate students. Students were aged between 15 and 18 years. A definition for 'image of mathematics' was adapted from Lim and Wilson, with image of mathematics hypothesized as comprising attitudes, beliefs, self-concept, motivation, emotions and past experiences of mathematics. A questionnaire was composed incorporating 84 fixed-response items chosen from eight pre-established scales by Aiken, Fennema and Sherman, Gourgey and Schoenfeld. This paper focuses on the findings from the questionnaire survey. Students' images of mathematics are compared with regard to gender, type of post-primary school attended and prior mathematical achievement.

Does CAS Use Disadvantage Girls in VCE Mathematics?

ERIC Educational Resources Information Center

Forgasz, Helen; Tan, Hazel

2010-01-01

In 2009, four mathematics subjects were offered at the year 12 level in the Victorian Certificate of Education (VCE). The two subjects at the intermediate level--Mathematical Methods and Mathematical Methods CAS--run in parallel, that is, a student can be enrolled in only one or the other, the choice being made at the school level. The curricular…

Assessment of numeracy in sports and exercise science students at an Australian university

NASA Astrophysics Data System (ADS)

Green, Simon; McGlynn, Susan; Stuart, Deidre; Fahey, Paul; Pettigrew, Jim; Clothier, Peter

2018-05-01

The effect of high school study of mathematics on numeracy performance of sports and exercise science (SES) students is not clear. To investigate this further, we tested the numeracy skills of 401 students enrolled in a Bachelor of Health Sciences degree in SES using a multiple-choice survey consisting of four background questions and 39 numeracy test questions. Background questions (5-point scale) focused on highest level of mathematics studied at high school, self-perception of mathematics proficiency, perceived importance of mathematics to SES and likelihood of seeking help with mathematics. Numeracy questions focused on rational number, ratios and rates, basic algebra and graph interpretation. Numeracy performance was based on answers to these questions (1 mark each) and represented by the total score (maximum = 39). Students from first (n = 212), second (n = 78) and third (n = 111) years of the SES degree completed the test. The distribution of numeracy test scores for the entire cohort was negatively skewed with a median (IQR) score of 27(11). We observed statistically significant associations between test scores and the highest level of mathematics studied (P < 0.05), being lowest in students who studied Year 10 Mathematics (20 (9)), intermediate in students who studied Year 12 General Mathematics (26 (8)) and highest in two groups of students who studied higher-level Year 12 Mathematics (31 (9), 31 (6)). There were statistically significant associations between test scores and level of self-perception of mathematics proficiency and also likelihood of seeking help with mathematics (P < 0.05) but not with perceived importance of mathematics to SES. These findings reveal that the level of mathematics studied in high school is a critical factor determining the level of numeracy performance in SES students.

Optimization and Prediction of Angular Distortion and Weldment Characteristics of TIG Square Butt Joints

NASA Astrophysics Data System (ADS)

Narang, H. K.; Mahapatra, M. M.; Jha, P. K.; Biswas, P.

2014-05-01

Autogenous arc welds with minimum upper weld bead depression and lower weld bead bulging are desired as such welds do not require a second welding pass for filling up the upper bead depressions (UBDs) and characterized with minimum angular distortion. The present paper describes optimization and prediction of angular distortion and weldment characteristics such as upper weld bead depression and lower weld bead bulging of TIG-welded structural steel square butt joints. Full factorial design of experiment was utilized for selecting the combinations of welding process parameter to produce the square butts. A mathematical model was developed to establish the relationship between TIG welding process parameters and responses such as upper bead width, lower bead width, UBD, lower bead height (bulging), weld cross-sectional area, and angular distortions. The optimal welding condition to minimize UBD and lower bead bulging of the TIG butt joints was identified.

Student teachers’ mathematical questioning and courage in metaphorical thinking learning

NASA Astrophysics Data System (ADS)

Hendriana, H.; Hidayat, W.; Ristiana, M. G.

2018-01-01

This study was designed in the form of experiments with control group design and post-test only which aimed to examine the role of metaphorical thinking learning in the mathematical questioning ability of student teachers based on the level of mathematical courage. The population of this study was student teachers of mathematics education study program in West Java Province, while the sample of this study was 152 student teachers which were set purposively and then randomly to be included in the experimental class and control class. Based on the results and discussion, it was concluded that: (a) the mathematical questioning ability of student teachers who received Metaphorical Thinking learning was better than those who received conventional learning seen from mathematical courage level; (b) learning and mathematical courage level factors affected the achievement of student teachers’ mathematical questioning ability. In addition, there was no interaction effect between learning and mathematical courage level (high, medium, and low) simultaneously in developing student teachers’ mathematical questioning ability; (c) achievement of mastering mathematical questioning ability of student teacher was still not well achieved on indicator of problem posing in the form of non-routine question and open question.

Experiments in optics for younger students by and for older students

NASA Astrophysics Data System (ADS)

Masi, James V.

1995-10-01

Under the auspices of a joint NSF/DOE grant for science and mathematics, the Electrical Engineering Department of the Engineering School at Western New England College developed a program of instruction in optics and optical applications for local Junior High School students. College level juniors and professors in the electrical engineering department, after the juniors had taken a one semester introductory course in optics and electro-optics, served as instructors in teaching and laboratory instruction in such diverse areas as solar cells/light detection, light sources, simple optics, optical fibers, liquid crystals, and lasers. Concepts such as seismic monitoring, Fourier transforms, power generation, information transfer, and many other applications were explained at level by the college students to the junior high school students with great effectiveness. Students at the lower level caught the enthusiasm of those at the upper level and learned with retention. Seven years into the program, the pros and cons are presented, the now- college bound students and their observations are detailed, and the learning experience for all is assessed, with scenarios for alternate programs suggested.

Teaching Guidelines for the Observance of World Meteorological Day (23 March).

ERIC Educational Resources Information Center

International Understanding at School, 1986

1986-01-01

Discusses the establishment and goals of the World Meteorological Organization and the World Meteorological Day (WMD). Includes teaching objectives for upper elementary and lower secondary school teachers and provides activities which integrate the study of meteorology with language, history, geography, mathematics, science, physical education,…

Let's Cut the Cake

ERIC Educational Resources Information Center

Zeybek, Zulfiye; Cross Francis, Dionne I.

2017-01-01

Measurement is an important component of K-grade 12 mathematics curricula. The concepts of area and perimeter of polygons are first introduced in third grade and serve as the basis for teaching in the upper grades. Without a strong understanding of measurement, students will struggle to meaningfully grasp three-dimensional measurement concepts…

Themes and Interplay of Beliefs in Mathematical Reasoning

ERIC Educational Resources Information Center

Sumpter, Lovisa

2013-01-01

Upper secondary students' task solving reasoning was analysed with a focus on arguments for strategy choices and conclusions. Passages in their arguments for reasoning that indicated the students' beliefs were identified and, by using a thematic analysis, categorized. The results stress three themes of beliefs used as arguments for…

Formative Assessment and Feedback: Making Learning Visible

ERIC Educational Resources Information Center

Havnes, Anton; Smith, Kari; Dysthe, Olga; Ludvigsen, Kristine

2012-01-01

The study explores how assessment information is received and attended to. The research is linked to a 2-year intervention project involving six Norwegian upper secondary schools, and with a particular focus on vocational training and the three core subjects: English, Norwegian and Mathematics. Survey data was collected from five schools,…

Mathematics Pedagogy and Content in a Blended Teacher Education Program

ERIC Educational Resources Information Center

Morales, Romelia V.; Anderson, Hal; McGowan, John

2003-01-01

Recently, the Department of Teacher Education and the Liberal Studies Program in the School of Education at California State University, Dominguez Hills (CSUDH) collaborated in developing a Blended Liberal Studies/Teacher Education Program (BLTEP) for upper division transfer students interested in completing an elementary credential. The BLTEP…

Fuel for Thought: Building Energy Awareness in Grades 9-12

ERIC Educational Resources Information Center

Metz, Steve, Ed.

2011-01-01

The concept of energy is central to all the science disciplines, seamlessly connecting science, technology, and mathematics. For high school and upper middle school teachers, this compendium comprises inquiry-based activities, lesson plans, and case studies designed to help teach increased awareness of energy, environmental concepts, and the…

Preparing Elementary Mathematics-Science Teaching Specialists.

ERIC Educational Resources Information Center

Miller, L. Diane

1992-01-01

Describes a professional development program to train math/science specialists for the upper elementary school grades. Using results from an interest survey, 30 teachers were chosen to participate in a 3-year program to become math/science specialists. Presents the teaching model used and the advantages for teachers and students in having subject…

Dimensionality of Upper Elementary Mathematics Instruction: Exploring Factors across Two Observational Instruments

ERIC Educational Resources Information Center

Blazar, David; Braslow, David; Charalambous, Charalambos Y.

2015-01-01

Over the past several years, research teams have developed observational instruments to measure the quality of teachers' instructional practices. Instruments such as Framework for Teaching (FFT) and the Classroom Assessment Scoring System (CLASS) assess general teaching practices, including student-teacher interactions, behavior management, and…

A Delphi Study: Identifying Strategies That Promote Student Self-Efficacy in the Middle Level Mathematics Classroom

ERIC Educational Resources Information Center

Kieschnick, Lauren E.

2013-01-01

This dissertation examines the strategies that promote mathematical self-efficacy in the middle level mathematics classroom. The need for more self-efficacious students to pursue mathematics is prevalent in the United States due to the need of workers in the STEM fields. Finding strategies to promote mathematical self-efficacy will provide…

What Benefits Could Extension Papers and Admissions Tests Have for University Mathematics Applicants?

ERIC Educational Resources Information Center

Darlington, Ellie

2015-01-01

It is well documented in both the British press and mathematics education literature that many consider A-levels (qualifications for secondary school leavers in England, Wales and Northern Ireland) to be insufficient preparation for undergraduate mathematics study in the UK. A-level Mathematics and Further Mathematics are not solely intended for…

An Investigation into the Perceptions of Mathematics and Information Literacy Self-Efficacy Levels of Pre-Service Primary Mathematics Teachers

ERIC Educational Resources Information Center

Dinçer, Bahar; Yilmaz, Süha

2016-01-01

The purpose of this study is to examine the relationship between perceptions of the self-efficacy levels for both mathematics literacy and information literacy in pre-service primary mathematics teachers and the factors on which the relationship depends (variables include gender, class level, hours spent reading books and computer-access…

Elementary School Mathematics Teacher Trainees' Metacognitive Awareness Levels: Turkey Case

ERIC Educational Resources Information Center

Memnun, Dilek Sezgin; Hart, Lynn Cecilia

2012-01-01

The aim of this research is to determine the metacognitive awareness levels of elementary mathematics teacher trainees and to investigate whether their awareness differs according to gender and class level. We also investigate the relationship between the metacognitive awareness levels of trainee mathematics teacher's and their overall performance…

A case study of pedagogy of mathematics support tutors without a background in mathematics education

NASA Astrophysics Data System (ADS)

Walsh, Richard

2017-01-01

This study investigates the pedagogical skills and knowledge of three tertiary-level mathematics support tutors in a large group classroom setting. This is achieved through the use of video analysis and a theoretical framework comprising Rowland's Knowledge Quartet and general pedagogical knowledge. The study reports on the findings in relation to these tutors' provision of mathematics support to first and second year undergraduate engineering students and second year undergraduate science students. It was found that tutors are lacking in various pedagogical skills which are needed for high-quality learning amongst service mathematics students (e.g. engineering/science/technology students), a demographic which have low levels of mathematics upon entering university. Tutors teach their support classes in a very fast didactic way with minimal opportunities for students to ask questions or to attempt problems. It was also found that this teaching method is even more so exaggerated in mandatory departmental mathematics tutorials that students take as part of their mathematics studies at tertiary level. The implications of the findings on mathematics tutor training at tertiary level are also discussed.

Developing a Leveling Framework of Mathematical Belief and Mathematical Knowledge for Teaching of Indonesian Pre-Service Teachers

ERIC Educational Resources Information Center

Novikasari, Ifada; Darhim, Didi Suryadi

2015-01-01

This study explored the characteristics of pre-service primary teachers (PSTs) influenced by mathematical belief and mathematical knowledge for teaching (MKT) PSTs'. A qualitative approach was used to investigate the levels of PSTs on mathematical belief and MKT. The two research instruments used in this study were an interview-based task and a…

Fifty Years of A-Level Mathematics: Have Standards Changed?

ERIC Educational Resources Information Center

Jones, Ian; Wheadon, Chris; Humphries, Sara; Inglis, Matthew

2016-01-01

Advanced-level (A-level) mathematics is a high-profile qualification taken by many school leavers in England, Wales, Northern Ireland and around the world as preparation for university study. Concern has been expressed in these countries that standards in A-level mathematics have declined over time, and that school leavers enter university or the…

The Semanticscience Integrated Ontology (SIO) for biomedical research and knowledge discovery

PubMed Central

2014-01-01

The Semanticscience Integrated Ontology (SIO) is an ontology to facilitate biomedical knowledge discovery. SIO features a simple upper level comprised of essential types and relations for the rich description of arbitrary (real, hypothesized, virtual, fictional) objects, processes and their attributes. SIO specifies simple design patterns to describe and associate qualities, capabilities, functions, quantities, and informational entities including textual, geometrical, and mathematical entities, and provides specific extensions in the domains of chemistry, biology, biochemistry, and bioinformatics. SIO provides an ontological foundation for the Bio2RDF linked data for the life sciences project and is used for semantic integration and discovery for SADI-based semantic web services. SIO is freely available to all users under a creative commons by attribution license. See website for further information: http://sio.semanticscience.org. PMID:24602174

ICT Use in Mathematics Lessons and the Mathematics Achievement of Secondary School Students by International Comparison: Which Role Do School Level Factors Play?

ERIC Educational Resources Information Center

Eickelmann, Birgit; Gerick, Julia; Koop, Christian

2017-01-01

By means of an international comparison, the research presented in the article aims to identify supporting and hindering school level factors for the use of ICT in secondary school mathematics lessons. The relationship between ICT use and the performance of Grade 9 students in mathematics is examined and further integrated into a multi-level model…

A Quantitative and Qualitative Study of Math Anxiety among Preservice Teachers

ERIC Educational Resources Information Center

Sloan, Tina Rye

2010-01-01

This project investigated the effects of a standards-based mathematics methods course on the mathematics anxiety levels of preservice teachers. The qualitative portion of the study examined aspects of a math methods course that affected mathematics anxiety levels and the antecedents of mathematics anxiety. Findings revealed a significant…

Tracking Developmental Students into Their First College Level Mathematics Course

ERIC Educational Resources Information Center

Waycaster, Pansy

2011-01-01

A recent SACS review at the author's institution prompted an assessment of the school's developmental mathematics program. The author needed to examine the effectiveness of the developmental mathematics courses in preparing students for their first college level mathematics course. Rather than just examine success rates in developmental…

Past and future water conflicts in the Upper Klamath Basin: An economic appraisal

NASA Astrophysics Data System (ADS)

Boehlert, Brent B.; Jaeger, William K.

2010-10-01

The water conflict in the Upper Klamath Basin typifies the growing competition between agricultural and environmental water uses. In 2001, drought conditions triggered Endangered Species Act-related requirements that curtailed irrigation diversions to the Klamath Reclamation Project, costing irrigators tens of millions of dollars. Although this event has significantly elevated the perceived risk of future economic catastrophe in the basin (and therefore the level of conflict among water users), several key changes related to water availability have occurred since 2001. These changes include reduced ESA requirements and increased groundwater pumping capacity, which have lowered the actual risk and severity of future water shortages. In this paper, we use a mathematical programming model to evaluate how these changes alter the likelihood and economic consequences of future shortages. We also consider the effect of more flexible transfers among irrigators via water markets. Our analysis indicates that future drought conditions like those seen in 2001 would have more modest economic impacts than in 2001 and that when combined with contingent groundwater supplementation and water transfer mechanisms such as water markets, both the likelihood and magnitude of economic losses among irrigators would be greatly reduced.

Factors Influencing Students' Choice of Mathematics at A-Level.

ERIC Educational Resources Information Center

Bewick, Viv; Southern, Jane

1997-01-01

Analyzes the results of a questionnaire (N=198) in order to find the main reasons for students choosing A-level mathematics, and the relationship between gender and A-level choices. Lists and discusses the reasons for choosing A-level mathematics. Reports that there is a highly significant difference between boys and girls in why they choose…

Reassessing the Economic Value of Advanced Level Mathematics

ERIC Educational Resources Information Center

Adkins, Michael; Noyes, Andrew

2016-01-01

In the late 1990s, the economic return to Advanced level (A-level) mathematics was examined. The analysis was based upon a series of log-linear models of earnings in the 1958 National Child Development Survey (NCDS) and the National Survey of 1980 Graduates and Diplomates. The core finding was that A-level mathematics had a unique earnings premium…

The Didactical Contract Surrounding CAS When Changing Teachers in the Classroom

ERIC Educational Resources Information Center

Jankvist, Uffe Thomas; Misfeldt, Morten; Marcussen, Anders

2016-01-01

The article discusses three empirical examples of Computer Algebra System (CAS) use in a Danish upper secondary school mathematics class that had experienced a recent change of teacher. All examples lead to didactical problems surrounding the situation and unclear expectations between teacher and students, involving loss of students' mathematical…

Fractions as Subtraction: An Activity-Oriented Perspective from Elementary Children

ERIC Educational Resources Information Center

Wood, Marcy B.; Olson, Amy M.; Freiberg, Elizabeth J.; Vega, Ruby I.

2013-01-01

A sample of third-, fourth-, and fifth-grade student responses to the question "What is a fraction?" were examined to gain an understanding of how children in upper elementary grades make sense of fractions. Rather than measure children's understanding of fractions relative to mathematically conventional part-whole constructions of…

Decision-Making in the Classroom and Early Adolescents' Valuing of Mathematics.

ERIC Educational Resources Information Center

Mac Iver, Douglas; Reuman, David A.

In many upper-elementary school classrooms, students are given few decision-making prerogatives. In junior high school, it becomes increasingly rare for them to receive the decision-making opportunities they believe they should have. Both person-environment fit theory and pawn theory would predict that a failure to provide students with such…

Technologies for Teaching and Learning about Box Plots and Statistical Analysis

ERIC Educational Resources Information Center

Forster, Patricia A.

2007-01-01

This paper analyses technology-based instruction on data-analysis with box plots. Examples of instruction taken from the research literature inform a study of two classes of 17 year-old students (upper secondary) in which the mathematical relationships that their teachers targeted are distinguished as being, or not being, relevant to statistical…

Game-Based Remedial Instruction in Mastery Learning for Upper-Primary School Students

ERIC Educational Resources Information Center

Lin, Chun-Hung; Liu, Eric Zhi-Feng; Chen, Yu-Liang; Liou, Pey-Yan; Chang, Maiga; Wu, Cheng-Hong; Yuan, Shyan-Ming

2013-01-01

The study examines the effectiveness of using computer games for after-school remedial mastery learning. We incorporated instructional materials related to "area of a circle" into the popular Monopoly game to enhance the performance of sixth-grade students learning mathematics. The program requires that students enter the answers to…

What Physicists Mean By the Equals Sign in Undergraduate Education

NASA Astrophysics Data System (ADS)

Kornick, Kellianne; Alaee, Dina; Sayre, Eleanor; Franklin, Scott

2017-01-01

Mathematical syntax allows for the description of meaningful concepts in the physical sciences, and having nuanced proficiency in mathematical formalism is closely tied to communication and understanding of physical principles. The concept of equality is especially important, as it constrains and dictates the relationships between two equated expressions, and a student with detailed understanding of these relationships can derive physical meaning from syntactical expressions mediated by equals signs by knowing the ``meaning'' of equals signs. We delineate types of equals signs as used in undergraduate textbooks and develop a categorization scheme in order to investigate how equals signs are used paradigmatically and culturally in textbooks to convey physical meaning. We classify equals signs into general clusters (causal, definitional, assignment, balancing, and ``just math''), each cluster containing more detailed types. We investigate differences across various topics and between introductory and upper-division textbooks. We found that upper division textbooks are more likely to use balancing, definitional, and more complex kinds of assignment forms, while introductory texts have much higher frequencies of simple assignment and ``just math'' types.

Pre-Service Teachers' Mathematics Self-Efficacy and Mathematics Teaching Self-Efficacy

ERIC Educational Resources Information Center

Zuya, Habila Elisha; Kwalat, Simon Kevin; Attah, Bala Galle

2016-01-01

Pre-service mathematics teachers' mathematics self-efficacy and mathematics teaching self-efficacy were investigated in this study. The purpose was to determine the confidence levels of their self-efficacy in mathematics and mathematics teaching. Also, the study was aimed at finding whether their mathematics self-efficacy and teaching…

Effectiveness of Kem Kembara-i on improving the interests of students in mathematical sciences

NASA Astrophysics Data System (ADS)

Majid, Noriza; Rambely, Azmin Sham; Razman, Nini Nabila bt

2017-04-01

Mathematics does not only play an important role in daily life but it is also a compulsory subject that has to be learn from early stage until the highest level of study. However, various issues arise from Mathematic education especially the decline in the interest of students towards Mathematics. This study was carried out to study the level of interest of the students towards Mathematics and the factors that affect the level of their interest. In addition, this study also aims to determine the best approach to help improve students' interest in Mathematics and to study the effectiveness of Kem Kembara-i organized by School of Mathematical Science (PPSM) UKM. A total of 553 respondents from twenty secondary schools around Malaysia attended this camp. Questionnaire has been used as an instrument in this study and Likert scale was used in this questionnaire. The finding shows that most of the students who participated in this camp were interested in Mathematics and the factors that affect their level of interest are such as the parents, peers, teachers and attitude. Recreational approach is the best approach in increasing the interest of students towards Mathematics and the results show that almost all of the activities in this camp, managed to attract the interest of students towards Mathematics. Therefore, it is concluded that this camp is effective in forming positive attitudes toward Mathematics.

Bi-Level Arbitrage Potential Evaluation for Grid-Scale Energy Storage Considering Wind Power and LMP Smoothing Effect

DOE Office of Scientific and Technical Information (OSTI.GOV)

Cui, Hantao; Li, Fangxing; Fang, Xin

Our paper deals with extended-term energy storage (ES) arbitrage problems to maximize the annual revenue in deregulated power systems with high penetration wind power. The conventional ES arbitrage model takes the locational marginal prices (LMP) as an input and is unable to account for the impacts of ES operations on system LMPs. This paper proposes a bi-level ES arbitrage model, where the upper level maximizes the ES arbitrage revenue and the lower level simulates the market clearing process considering wind power and ES. The bi-level model is formulated as a mathematical program with equilibrium constraints (MPEC) and then recast intomore » a mixed-integer linear programming (MILP) using strong duality theory. Wind power fluctuations are characterized by the GARCH forecast model and the forecast error is modeled by forecast-bin based Beta distributions. Case studies are performed on a modified PJM 5-bus system and an IEEE 118-bus system with a weekly time horizon over an annual term to show the validity of the proposed bi-level model. The results from the conventional model and the bi-level model are compared under different ES power and energy ratings, and also various load and wind penetration levels.« less

Bi-Level Arbitrage Potential Evaluation for Grid-Scale Energy Storage Considering Wind Power and LMP Smoothing Effect

DOE PAGES

Cui, Hantao; Li, Fangxing; Fang, Xin; ...

2017-10-04

Our paper deals with extended-term energy storage (ES) arbitrage problems to maximize the annual revenue in deregulated power systems with high penetration wind power. The conventional ES arbitrage model takes the locational marginal prices (LMP) as an input and is unable to account for the impacts of ES operations on system LMPs. This paper proposes a bi-level ES arbitrage model, where the upper level maximizes the ES arbitrage revenue and the lower level simulates the market clearing process considering wind power and ES. The bi-level model is formulated as a mathematical program with equilibrium constraints (MPEC) and then recast intomore » a mixed-integer linear programming (MILP) using strong duality theory. Wind power fluctuations are characterized by the GARCH forecast model and the forecast error is modeled by forecast-bin based Beta distributions. Case studies are performed on a modified PJM 5-bus system and an IEEE 118-bus system with a weekly time horizon over an annual term to show the validity of the proposed bi-level model. The results from the conventional model and the bi-level model are compared under different ES power and energy ratings, and also various load and wind penetration levels.« less

An Empirical Development of an Instrument To Assess Mathematics Anxiety and Apprehension.

ERIC Educational Resources Information Center

Ikegulu, T. Nelson

The development and psychometric properties of the Mathematics Anxiety-Apprehension Survey (MAAS), a measure of instructional and/or classroom mathematics phobia are discussed. This instrument was designed to assess levels of mathematics anxiety and apprehension in students with varying levels of education and socio-demographic factors. The highly…

High School Mathematics: State-Level Curriculum Standards and Graduation Requirements

ERIC Educational Resources Information Center

Reys, Barbara J.; Dingman, Shannon; Nevels, Nevels; Teuscher, Dawn

2007-01-01

In a continuing effort to improve student-learning opportunities in mathematics, state departments of education have focused on articulating standards or learning goals at all levels, including high school mathematics. A review of K-8 mathematics curriculum standards (many of which have been published since 2002) compiled by staff from the Center…

Leveling of Critical Thinking Abilities of Students of Mathematics Education in Mathematical Problem Solving

ERIC Educational Resources Information Center

Rasiman

2015-01-01

This research aims to determine the leveling of critical thinking abilities of students of mathematics education in mathematical problem solving. It includes qualitative-explorative study that was conducted at University of PGRI Semarang. The generated data in the form of information obtained problem solving question and interview guides. The…

Developmental Performance as a Predictor of Academic Success in Entry-Level College Mathematics.

ERIC Educational Resources Information Center

Johnson, Laurence F.

1996-01-01

Discusses a study examining the relationship between student academic performance in an exit-level, developmental mathematics course and subsequent academic performance in a college-level mathematics course. Finds that developmental course performance and student age were significantly and positively related to academic success, while length of…

Long-Term Consequences of Curriculum Choices with Particular Reference to Mathematics and Science.

ERIC Educational Resources Information Center

Fitz-Gibbon, Carol Taylor

1999-01-01

Explores consequences of taking or not taking "A" level mathematics in British secondary schools, using a followup study of students who took "A" levels in 1988. "A" level mathematics takers were in high "pulling power" universities and had higher salary expectations than those taking "A" level…

Designing Cognitive Complexity in Mathematical Problem-Solving Items

ERIC Educational Resources Information Center

Daniel, Robert C.; Embretson, Susan E.

2010-01-01

Cognitive complexity level is important for measuring both aptitude and achievement in large-scale testing. Tests for standards-based assessment of mathematics, for example, often include cognitive complexity level in the test blueprint. However, little research exists on how mathematics items can be designed to vary in cognitive complexity level.…

Measuring and factors influencing mathematics teachers' technological pedagogical and content knowledge (TPACK) in three southernmost provinces, Thailand

NASA Astrophysics Data System (ADS)

Adulyasas, Lilla

2017-08-01

Technology becomes an important role in teaching and learning mathematics nowadays. Integrating technology in the classroom helps students have better understanding in many of mathematics concepts. One of the major framework for assessing the knowledge of integrating technology with the pedagogy and content in the classroom is Technological Pedagogical and Content Knowledge (TPACK) framework. This study aimed to measure mathematics teachers' TPACK in three southernmost provinces, Thailand and to study on factors influencing their TPACK. A quantitative study was carried out with 210 secondary level mathematics teachers in the three southernmost provinces, Thailand which were random by two stage sampling technique. Data were collected by using a questionnaire to identify the level of mathematics teachers' TPACK and the factors influencing their TPACK. Descriptive statistics, Pearson product moment correlation and multiple regression analysis were used for analysing data. Findings reveal that the mean score of mathematics teachers' TPACK is 3.33 which is in the medium level and the three factors which have positive correlation at .05 level of significant with the level of TPACK are teaching experience factor, individual specialization factor and personal & organization factor. However, there are only two factors influencing mathematics teachers' TPACK. The two factors are individual specialization factor and personal & organization factors. These give better understanding on mathematics teachers' knowledge in integrating technology with the pedagogy and content which will be the important information for improving mathematics teachers' TPACK.

Theoretical investigation of the upper and lower bounds of a generalized dimensionless bearing health indicator

NASA Astrophysics Data System (ADS)

Wang, Dong; Tsui, Kwok-Leung

2018-01-01

Bearing-supported shafts are widely used in various machines. Due to harsh working environments, bearing performance degrades over time. To prevent unexpected bearing failures and accidents, bearing performance degradation assessment becomes an emerging topic in recent years. Bearing performance degradation assessment aims to evaluate the current health condition of a bearing through a bearing health indicator. In the past years, many signal processing and data mining based methods were proposed to construct bearing health indicators. However, the upper and lower bounds of these bearing health indicators were not theoretically calculated and they strongly depended on historical bearing data including normal and failure data. Besides, most health indicators are dimensional, which connotes that these health indicators are prone to be affected by varying operating conditions, such as varying speeds and loads. In this paper, based on the principle of squared envelope analysis, we focus on theoretical investigation of bearing performance degradation assessment in the case of additive Gaussian noises, including distribution establishment of squared envelope, construction of a generalized dimensionless bearing health indicator, and mathematical calculation of the upper and lower bounds of the generalized dimensionless bearing health indicator. Then, analyses of simulated and real bearing run to failure data are used as two case studies to illustrate how the generalized dimensionless health indicator works and demonstrate its effectiveness in bearing performance degradation assessment. Results show that squared envelope follows a noncentral chi-square distribution and the upper and lower bounds of the generalized dimensionless health indicator can be mathematically established. Moreover, the generalized dimensionless health indicator is sensitive to an incipient bearing defect in the process of bearing performance degradation.

Malaysian and Singaporean students' affective characteristics and mathematics performance: evidence from PISA 2012.

PubMed

Thien, Lei Mee; Ong, Mei Yean

2015-01-01

This paper attempts to identify the extent to which the affective characteristics of Malaysian and Singaporean students' attainment compared to the OECD average in Programme for International Student Assessment (PISA) 2012, and examine the influence of students' affective characteristics, gender, and their socioeconomic status on mathematics performance at both student and school levels. Sample consisted of 5197 and 5546 15-year-old Malaysian and Singaporean students. Data were analysed using hierarchical linear modelling approach with HLM 7.0 software. Results showed that the Index of economic, social, and cultural status (ESCS), mathematics self-efficacy, and mathematics anxiety have significant effects on mathematics performance in Malaysia and Singapore at the student level. Proportion of boys at the school level has no significant effects on mathematics performance for both Malaysian and Singaporean students. ESCS mean at the school level has positive and significant effects on mathematics performance in Malaysia, but not in Singapore. Limitations, implications, and future studies were discussed.

Bilevel formulation of a policy design problem considering multiple objectives and incomplete preferences

NASA Astrophysics Data System (ADS)

Hawthorne, Bryant; Panchal, Jitesh H.

2014-07-01

A bilevel optimization formulation of policy design problems considering multiple objectives and incomplete preferences of the stakeholders is presented. The formulation is presented for Feed-in-Tariff (FIT) policy design for decentralized energy infrastructure. The upper-level problem is the policy designer's problem and the lower-level problem is a Nash equilibrium problem resulting from market interactions. The policy designer has two objectives: maximizing the quantity of energy generated and minimizing policy cost. The stakeholders decide on quantities while maximizing net present value and minimizing capital investment. The Nash equilibrium problem in the presence of incomplete preferences is formulated as a stochastic linear complementarity problem and solved using expected value formulation, expected residual minimization formulation, and the Monte Carlo technique. The primary contributions in this article are the mathematical formulation of the FIT policy, the extension of computational policy design problems to multiple objectives, and the consideration of incomplete preferences of stakeholders for policy design problems.

Exploring Mathematics Teachers' Pedagogical Content Knowledge in the Context of Knowledge of Students

ERIC Educational Resources Information Center

Aksu, Zeki; Kul, Ümit

2016-01-01

Functions are one of the basic topics taught in mathematics curriculum at Secondary school level requiring knowledge from the students' past, and uniting mathematical topics. Mathematics teachers have both their own learning experience of functions, as well as their own teaching experience, leading to the question of what level of student…

Promoting Access to Common Core Mathematics for Students with Severe Disabilities through Mathematical Problem Solving

ERIC Educational Resources Information Center

Spooner, Fred; Saunders, Alicia; Root, Jenny; Brosh, Chelsi

2017-01-01

There is a need to teach the pivotal skill of mathematical problem solving to students with severe disabilities, moving beyond basic skills like computation to higher level thinking skills. Problem solving is emphasized as a Standard for Mathematical Practice in the Common Core State Standards across grade levels. This article describes a…

Engineering Undergraduates' Views of A-Level Mathematics and Further Mathematics as Preparation for Their Degree

ERIC Educational Resources Information Center

Darlington, Ellie; Bowyer, Jessica

2017-01-01

An ongoing reform programme of the post-16 Advanced "A"-level qualifications in England and Wales means that pre-university mathematics content and assessment will change from 2017. Undergraduate engineering is a subject that relies heavily on mathematics, and applicants to engineering degree programmes in the UK are required to have…

Deaf college students' mathematical skills relative to morphological knowledge, reading level, and language proficiency.

PubMed

Kelly, Ronald R; Gaustad, Martha G

2007-01-01

This study of deaf college students examined specific relationships between their mathematics performance and their assessed skills in reading, language, and English morphology. Simple regression analyses showed that deaf college students' language proficiency scores, reading grade level, and morphological knowledge regarding word segmentation and meaning were all significantly correlated with both the ACT Mathematics Subtest and National Technical Institute for the Deaf (NTID) Mathematics Placement Test scores. Multiple regression analyses identified the best combination from among these potential independent predictors of students' performance on both the ACT and NTID mathematics tests. Additionally, the participating deaf students' grades in their college mathematics courses were significantly and positively associated with their reading grade level and their knowledge of morphological components of words.

Exploring individual differences in children's mathematical skills: a correlational and dimensional approach.

PubMed

Sigmundsson, H; Polman, R C J; Lorås, H

2013-08-01

Individual differences in mathematical skills are typically explained by an innate capability to solve mathematical tasks. At the behavioural level this implies a consistent level of mathematical achievement that can be captured by strong relationships between tasks, as well as by a single statistical dimension that underlies performance on all mathematical tasks. To investigate this general assumption, the present study explored interrelations and dimensions of mathematical skills. For this purpose, 68 ten-year-old children from two schools were tested using nine mathematics tasks from the Basic Knowledge in Mathematics Test. Relatively low-to-moderate correlations between the mathematics tasks indicated most tasks shared less than 25% of their variance. There were four principal components, accounting for 70% of the variance in mathematical skill across tasks and participants. The high specificity in mathematical skills was discussed in relation to the principle of task specificity of learning.

The solar-terrestrial environment. An introduction to geospace - the science of the terrestrial upper atmosphere, ionosphere and magnetosphere.

NASA Astrophysics Data System (ADS)

Hargreaves, J. K.

This textbook is a successor to "The upper atmosphere and solar-terrestrial relations" first published in 1979. It describes physical conditions in the upper atmosphere and magnetosphere of the Earth. This geospace environment begins 70 kilometres above the surface of the Earth and extends in near space to many times the Earth's radius. It is the region of near-Earth environment where the Space Shuttle flies, the aurora is generated, and the outer atmosphere meets particles streaming out of the sun. The account is introductory. The intent is to present basic concepts, and for that reason the mathematical treatment is not complex. There are three introductory chapters that give basic physics and explain the principles of physical investigation. The principal material contained in the main part of the book covers the neutral and ionized upper atmosphere, the magetosphere, and structures, dynamics, disturbances and irregularities. The concluding chapter deals with technological applications.

Middle-Level Preservice Mathematics Teachers' Mental Representations of Classroom Floor Plans

ERIC Educational Resources Information Center

Matteson, Shirley M.; Ganesh, Bibi S.; Coward, Fanni L.; Patrick, Patricia

2012-01-01

This study reports the results of an innovative assignment in which preservice teachers' mental representations were examined through drawing floor plans of an "ideal middle-level mathematics classroom." The 41 middle-level mathematics preservice teachers created two floor plans, one at the beginning of the semester and the other for the…

Teaching a High-Level Contextualized Mathematics Curriculum to Adult Basic Learners

ERIC Educational Resources Information Center

Showalter, Daniel A.; Wollett, Chelsie; Reynolds, Sharon

2014-01-01

This paper reports on the implementation of a high level contextualized mathematics curriculum by 12 adult basic instructors in a midwestern state. The 10-week pilot curriculum embedded high level mathematics in contexts that were familiar to adult learners. Instructors' weekly online posts were coded, and the following themes emerged: (a)…

High School Mathematics Curricula, University Mathematics Placement Recommendations, and Student University Mathematics Performance

ERIC Educational Resources Information Center

Norman, Ke Wu; Medhanie, Amanuel G.; Harwell, Michael R.; Anderson, Edwin; Post, Thomas R.

2011-01-01

Recent "math wars" have drawn attention to how well various high school mathematics curricula prepare students for college-level mathematics. The purpose of this study was to investigate the relationship between the high school mathematics curricula and students' post-secondary mathematics placement recommendation, specifically how…

Role of linguistic skills in fifth-grade mathematics.

PubMed

Kleemans, Tijs; Segers, Eliane; Verhoeven, Ludo

2018-03-01

The current study investigated the direct and indirect relations between basic linguistic skills (i.e., phonological skills and grammatical ability) and advanced linguistic skills (i.e., academic vocabulary and verbal reasoning), on the one hand, and fifth-grade mathematics (i.e., arithmetic, geometry, and fractions), on the other, taking working memory and general intelligence into account and controlling for socioeconomic status, age, and gender. The results showed the basic linguistic representations of 167 fifth graders to be indirectly related to their geometric and fraction skills via arithmetic. Furthermore, advanced linguistic skills were found to be directly related to geometry and fractions after controlling for arithmetic. It can be concluded that linguistic skills directly and indirectly relate to mathematical ability in the upper grades of primary education, which highlights the importance of paying attention to such skills in the school curriculum. Copyright © 2017 Elsevier Inc. All rights reserved.

Generalized mathematical model of red muds’ thickener of alumina production

NASA Astrophysics Data System (ADS)

Fedorova, E. R.; Vinogradova, A. A.

2018-03-01

The article describes the principle of a generalized mathematical model of the red mud’s thickener construction. The model of the red muds’ thickener of alumina production consists of sub-models of flocculation zones containing solid fraction feed slurry, free-fall and cramped sedimentation zones or effective sedimentation zones, bleaching zones. The generalized mathematical model of thickener allows predicting the content of solid fraction in the condensed product and in the upper discharge. The sub-model of solid phase aggregation allows one to count up average size of floccules, which is created during the flocculation process in feedwell. The sub-model of the free-fall and cramped sedimentation zone allows one to count up the concentration profile taking into account the variable cross-sectional area of the thickener. The sub-model of the bleaching zone is constructed on the basis of the theory of the precipitation of Kinc, supplemented by correction factors.

Mathematics Underground

ERIC Educational Resources Information Center

Luther, Kenneth H.

2012-01-01

Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This…

Interdisciplinary education - a predator-prey model for developing a skill set in mathematics, biology and technology

NASA Astrophysics Data System (ADS)

van der Hoff, Quay

2017-08-01

The science of biology has been transforming dramatically and so the need for a stronger mathematical background for biology students has increased. Biological students reaching the senior or post-graduate level often come to realize that their mathematical background is insufficient. Similarly, students in a mathematics programme, interested in biological phenomena, find it difficult to master the complex systems encountered in biology. In short, the biologists do not have enough mathematics and the mathematicians are not being taught enough biology. The need for interdisciplinary curricula that includes disciplines such as biology, physical science, and mathematics is widely recognized, but has not been widely implemented. In this paper, it is suggested that students develop a skill set of ecology, mathematics and technology to encourage working across disciplinary boundaries. To illustrate such a skill set, a predator-prey model that contains self-limiting factors for both predator and prey is suggested. The general idea of dynamics, is introduced and students are encouraged to discover the applicability of this approach to more complex biological systems. The level of mathematics and technology required is not advanced; therefore, it is ideal for inclusion in a senior-level or introductory graduate-level course for students interested in mathematical biology.

The presence of mathematics and computer anxiety in nursing students and their effects on medication dosage calculations.

PubMed

Glaister, Karen

2007-05-01

To determine if the presence of mathematical and computer anxiety in nursing students affects learning of dosage calculations. The quasi-experimental study compared learning outcomes at differing levels of mathematical and computer anxiety when integrative and computer based learning approaches were used. Participants involved a cohort of second year nursing students (n=97). Mathematical anxiety exists in 20% (n=19) of the student nurse population, and 14% (n=13) experienced mathematical testing anxiety. Those students more anxious about mathematics and the testing of mathematics benefited from integrative learning to develop conditional knowledge (F(4,66)=2.52 at p<.05). Computer anxiety was present in 12% (n=11) of participants, with those reporting medium and high levels of computer anxiety performing less well than those with low levels (F(1,81)=3.98 at p<.05). Instructional strategies need to account for the presence of mathematical and computer anxiety when planning an educational program to develop competency in dosage calculations.

Teaching Radioactive Decay and Radiometric Dating: An Analog Activity Based on Fluid Dynamics

ERIC Educational Resources Information Center

Claiborne, Lily L.; Miller, Calvin F.

2012-01-01

We present a new laboratory activity for teaching radioactive decay by using hydrodynamic processes as an analog and an evaluation of its efficacy in the classroom. A fluid flowing from an upper beaker into a lower beaker (shampoo in this case) behaves mathematically identically to radioactive decay, mimicking the exponential decay process,…

Gender and Course Selection in Upper Secondary Education: Effects of Academic Self-Concept and Intrinsic Value

ERIC Educational Resources Information Center

Nagy, Gabriel; Trautwein, Ulrich; Baumert, Jurgen; Koller, Olaf; Garrett, Jessica

2006-01-01

Predictions about processes linking gender to students' choices of advanced courses were derived from the internal/external frame of reference (I/E) model and expectancy value (EV) theory. The predictions were tested for the domains of mathematics and biology using data from 1,148 students attending academically oriented secondary schools in…

National-Scale Professional Development in Sweden: Theory, Policy, Practice

ERIC Educational Resources Information Center

Boesen, J.; Helenius, O.; Johansson, B.

2015-01-01

From 2012 to 2016 all teachers of mathematics, in primary through to upper secondary and adult education, in Sweden are to be given the opportunity of receiving state-coordinated professional development (PD), generally involving around one meeting per week for a year. We examine the ways in which this programme and its content are research-based…

Teaching Fifth Grade Mathematical Concepts: Effects of Word Problems Used with Traditional Methods.

ERIC Educational Resources Information Center

Coy, Jessica

The view of the researcher is that students in the upper elementary to middle school range need to increase their problem-solving skills by making logical deductions and organizing and structuring their thoughts through the use of word problems. Giving children a daily word problem challenged and introduced them to the lesson. This activity…

Analysing the Relationship between the Problem-Solving-Related Beliefs, Competence and Teaching of Three Cypriot Primary Teachers

ERIC Educational Resources Information Center

Andrews, Paul; Xenofontos, Constantinos

2015-01-01

In this article, we analyse the problem-solving-related beliefs, competence and classroom practice of three Cypriot upper-primary teachers. Data derived from semi-structured interviews focused on teachers' beliefs about the nature of mathematical problems, problem-solving, and their competence as both problem-solvers and teachers of…

The Relationship of Discipline Background to Upper Secondary Students' Argumentation on Socioscientific Issues

ERIC Educational Resources Information Center

Christenson, Nina; Rundgren, Shu-Nu Chang; Zeidler, Dana L.

2014-01-01

In the present STEM (Science, Technology, Engineering, and Mathematics)-driven society, socioscientific issues (SSI) have become a focus globally and SSI research has grown into an important area of study in science education. Since students attending the social and science programs have a different focus in their studies and research has shown…

Improving Access to Elementary School Social Studies Instruction: Strategies to Support Students with Learning Disabilities

ERIC Educational Resources Information Center

Ciullo, Stephen

2015-01-01

Social studies instruction in upper elementary school (Grades 3-5) is important for building foundational content knowledge to equip students for the secondary school curriculum. Due to numerous school initiatives and demands on the time of teachers, social studies instruction can play second fiddle to reading and mathematics instruction, which…

Fostering Relationships: An Analysis of a School-Based Mentoring Program for Upper Elementary Students

ERIC Educational Resources Information Center

Hobaugh, Gregory Alan

2013-01-01

Today's students are facing higher academic and social standards than ever before in the history of education in the United States of America. Under federal legislation, No Child Left Behind (NCLB) states are required to administer standardized tests to students in grades three through eight to measure Language Arts and Mathematics competency.…

Exploring the Contribution of Classroom Formats on Teaching Effectiveness and Achievement in Upper Elementary Classrooms

ERIC Educational Resources Information Center

Baroody, Alison E.

2017-01-01

This study examined the contribution of classroom format on teaching effectiveness and achievement in English language arts (ELA) and mathematics. Secondary data analyses of the Measures of Effective Teaching database included 464 US classrooms. Classrooms were defined as self-contained if a generalist teacher provided instruction on all subjects…

Sisters in Science: Using Sports as a Vehicle for Science Learning.

ERIC Educational Resources Information Center

Hammrich, Penny L.; Richardson, Greer M.; Green, Tina Sloan; Livingston, Beverly

This paper describes a project for upper elementary and middle school minority girl students called the Sisters in Sport Science (SISS). The SISS program addresses the needs of urban girls in gaining access to equal education in science and mathematics by using athletics as a vehicle for learning. The program provides a non-competitive and…

Studies in Mathematics, Volume V. Concepts of Informal Geometry. Preliminary Edition.

ERIC Educational Resources Information Center

Anderson, Richard D.

The main purpose of this book is to provide background material in geometry for teachers or prospective teachers who know little or no geometry. It should be suitable as a text for a one-semester course for teachers of junior high school or upper elementary school students. Chapters contain developmental material and exercises. Chapters include:…

Analyses of Attribute Patterns of Creative Problem Solving Ability among Upper Elementary Students in Taiwan

ERIC Educational Resources Information Center

Lin, Chia-Yi

2010-01-01

The purpose of this research is to find the relationships among attributes of creative problem solving ability and their relationships with the Math Creative Problem Solving Ability. In addition, the attribute patterns of high, medium, and low mathematical creative groups were identified and compared. There were 409 fifth and sixth graders…

Training, Sharing or Cheating? Gamer Strategies to Get a Digital Upper Hand

ERIC Educational Resources Information Center

Mortensen, Torill Elvira

2010-01-01

Digital game-players devote a large amount of their time to discovering rules hidden in the code and discoverable through empirical study, experiments, and developing or rediscovering the mathematical formulae governing the code. They do this through their own independent play as they test areas, gear and abilities, through data mining using…

Exploring the Cognitive Demand and Features of Problem Solving Tasks in Primary Mathematics Classrooms

ERIC Educational Resources Information Center

McCormick, Melody

2016-01-01

Student learning is greatest in classrooms where students engage in problem solving tasks that are cognitively demanding. However, there are growing concerns that many Australian students are given limited opportunities to engage in these types of tasks. 108 upper primary school teachers were surveyed to examine task features and cognitive demand…

The Science-Technology-Engineering-Mathematics (STEM) Initiative at Stephen F Austin State University

ERIC Educational Resources Information Center

Gruebel, Robert W.; Childs, Kimberly

2013-01-01

The Texas statewide assessment of academic skills in 1997 indicated that >55 % of the student population failed to master the mathematics objectives set by the test criteria and 42 % of the mathematics teachers at the secondary level in the East Texas region were categorized as underqualified to teach mathematics at that level. The issue of…

A Comparison of Pre- and Post- Levels of Mathematics Anxiety among Preservice Teacher Candidates Enrolled in a Mathematics Methods Course.

ERIC Educational Resources Information Center

Sloan, Tina Rye; Vinson, Beth; Haynes, Jonita; Gresham, Regina

This study examined the effectiveness of a methods course in the reduction of mathematics anxiety levels among three groups of preservice teachers majoring in elementary education. The sample included 61 novices enrolled in a course entitled Mathematics for the Young Child. This methods course utilized concrete manipulatives and active learning…

Post-Primary Students' Images of Mathematics: Findings from a Survey of Irish Ordinary Level Mathematics Students

ERIC Educational Resources Information Center

Lane, Ciara; Stynes, Martin; O'Donoghue, John

2016-01-01

A questionnaire survey was carried out as part of a PhD research study to investigate the image of mathematics held by post-primary students in Ireland. The study focused on students in fifth year of post-primary education studying ordinary level mathematics for the Irish Leaving Certificate examination--the final examination for students in…

Does Math Achievement "h'APP'en" when iPads and Game-Based Learning Are Incorporated into Fifth-Grade Mathematics Instruction?

ERIC Educational Resources Information Center

Carr, Jennie M.

2012-01-01

After 10 years of No Child Left Behind standards-focused education, mathematics scores have improved only marginally for elementary-aged students. Students who developed a solid conceptual mathematics foundation at the elementary level succeeded later in higher-level mathematics courses; thus, educators have sought ways to increase mathematics…

High School Mathematics Teachers' Levels of Achieving Technology Integration and In-Class Reflections: The Case of Mathematica

ERIC Educational Resources Information Center

Ardiç, Mehmet Alper; Isleyen, Tevfik

2017-01-01

The purpose of this study is to determine the levels of high school mathematics teachers in achieving mathematics instruction via computer algebra systems and the reflections of these practices in the classroom. Three high school mathematics teachers employed at different types of school participated in the study. In the beginning of this…

An Investigation of Mathematics Anxiety among Sixth through Eighth Grade Students in Turkey

ERIC Educational Resources Information Center

Birgin, Osman; Baloglu, Mustafa; Catlioglu, Hakan; Gurbuz, Ramazan

2010-01-01

The purpose of the present study is to investigate mathematics anxiety among 220 sixth through eighth grade Turkish students in terms of mathematics achievement levels, perceived enjoyment of the mathematics teaching method, perceived enjoyment of mathematics, and perceived help with mathematics from parents. The Mathematics Anxiety Scale for…

Teacher Mathematical Literacy: Case Study of Junior High School Teachers in Pasaman

NASA Astrophysics Data System (ADS)

Ahmad, D.; Suherman, S.; Maulana, H.

2018-04-01

The aim of this paper was to examine the ability of junior high school mathematics teachers to solve mathematical literacy base Problems (PISA and PISA-like problems) for the case Pasaman regency. The data was collected by interviews and test. As the results of this study, teacher ability in solving mathematical literacy base problems for level 1 until 3 has been good, but for level 4 or above is still low. It is caused by teacher knowledge about mathematical literacy still few.

Predictors of Information Technology Integration in Secondary Schools: Evidence from a Large Scale Study of More than 30,000 Students

PubMed Central

Hew, Khe Foon; Tan, Cheng Yong

2016-01-01

The present study examined the predictors of information technology (IT) integration in secondary school mathematics lessons. The predictors pertained to IT resource availability in schools, school contextual/institutional variables, accountability pressure faced by schools, subject culture in mathematics, and mathematics teachers’ pedagogical beliefs and practices. Data from 32,256 secondary school students from 2,519 schools in 16 developed economies who participated in the Program for International Student Assessment (PISA) 2012 were analyzed using hierarchical linear modeling (HLM). Results showed that after controlling for student-level (gender, prior academic achievement and socioeconomic status) and school-level (class size, number of mathematics teachers) variables, students in schools with more computers per student, with more IT resources, with higher levels of IT curricular expectations, with an explicit policy on the use of IT in mathematics, whose teachers believed in student-centered teaching-learning, and whose teachers provided more problem-solving activities in class reported higher levels of IT integration. On the other hand, students who studied in schools with more positive teacher-related school learning climate, and with more academically demanding parents reported lower levels of IT integration. Student-related school learning climate, principal leadership behaviors, schools’ public posting of achievement data, tracking of school’s achievement data by administrative authorities, and pedagogical and curricular differentiation in mathematics lessons were not related to levels of IT integration. Put together, the predictors explained a total of 15.90% of the school-level variance in levels of IT integration. In particular, school IT resource availability, and mathematics teachers’ pedagogical beliefs and practices stood out as the most important determinants of IT integration in mathematics lessons. PMID:27997593

Predictors of Information Technology Integration in Secondary Schools: Evidence from a Large Scale Study of More than 30,000 Students.

PubMed

Hew, Khe Foon; Tan, Cheng Yong

2016-01-01

The present study examined the predictors of information technology (IT) integration in secondary school mathematics lessons. The predictors pertained to IT resource availability in schools, school contextual/institutional variables, accountability pressure faced by schools, subject culture in mathematics, and mathematics teachers' pedagogical beliefs and practices. Data from 32,256 secondary school students from 2,519 schools in 16 developed economies who participated in the Program for International Student Assessment (PISA) 2012 were analyzed using hierarchical linear modeling (HLM). Results showed that after controlling for student-level (gender, prior academic achievement and socioeconomic status) and school-level (class size, number of mathematics teachers) variables, students in schools with more computers per student, with more IT resources, with higher levels of IT curricular expectations, with an explicit policy on the use of IT in mathematics, whose teachers believed in student-centered teaching-learning, and whose teachers provided more problem-solving activities in class reported higher levels of IT integration. On the other hand, students who studied in schools with more positive teacher-related school learning climate, and with more academically demanding parents reported lower levels of IT integration. Student-related school learning climate, principal leadership behaviors, schools' public posting of achievement data, tracking of school's achievement data by administrative authorities, and pedagogical and curricular differentiation in mathematics lessons were not related to levels of IT integration. Put together, the predictors explained a total of 15.90% of the school-level variance in levels of IT integration. In particular, school IT resource availability, and mathematics teachers' pedagogical beliefs and practices stood out as the most important determinants of IT integration in mathematics lessons.

How Ordinary Meaning Underpins the Meaning of Mathematics.

ERIC Educational Resources Information Center

Ormell, Christopher

1991-01-01

Discusses the meaning of mathematics by looking at its uses in the real world. Offers mathematical modeling as a way to represent mathematical applications in real or potential situations. Presents levels of applicability, modus operandi, relationship to "pure mathematics," and consequences for education for mathematical modeling. (MDH)

Student Success in Developmental Mathematics Courses

ERIC Educational Resources Information Center

Zientek, Linda Reichwein; Yetkiner Ozel, Z. Ebrar; Fong, Carlton J.; Griffin, Mel

2013-01-01

Mathematics is a particular stumbling block for community college students in developmental course work. The present study empirically investigated student-level and teacher-level factors that influence the success of community college students enrolled in developmental mathematics courses. Specifically, numerous variables in one statistical model…

Examining the Effects of General Level Course Elimination and Tracking on Student Growth and Achievement in a Suburban High School Mathematics Program

ERIC Educational Resources Information Center

Ellis, Brian E.

2014-01-01

Despite a decade of reform driven by the NCLB legislation, there continues to be a significant gap in mathematics achievement between race/ethnicity and socioeconomic groupings of students. This study examines the practice of tracking and an effort to improve mathematics achievement by eliminating the general level mathematics track. The suburban…

The Effectiveness of the North Carolina Early Mathematics Placement Test in Preparing High School Students for College-Level Introductory Mathematics Courses

ERIC Educational Resources Information Center

Hilgoe, Ellen; Brinkley, Jason; Hattingh, Johannes; Bernhardt, Robert

2016-01-01

Since its establishment in 1996, the North Carolina Early Mathematics Placement Testing (NC EMPT) Program has provided a low stakes reality check of readiness for college-level mathematics to more than 600,000 high school students statewide. The program strives to help reduce the percentage of incoming college freshmen requiring mathematics…

A Mathematics Software Database Update.

ERIC Educational Resources Information Center

Cunningham, R. S.; Smith, David A.

1987-01-01

Contains an update of an earlier listing of software for mathematics instruction at the college level. Topics are: advanced mathematics, algebra, calculus, differential equations, discrete mathematics, equation solving, general mathematics, geometry, linear and matrix algebra, logic, statistics and probability, and trigonometry. (PK)

The Construction of Mathematical Literacy Problems for Geometry

NASA Astrophysics Data System (ADS)

Malasari, P. N.; Herman, T.; Jupri, A.

2017-09-01

The students of junior high school should have mathematical literacy ability to formulate, apply, and interpret mathematics in problem solving of daily life. Teaching these students are not enough by giving them ordinary mathematics problems. Teaching activities for these students brings consequence for teacher to construct mathematical literacy problems. Therefore, the aim of this study is to construct mathematical literacy problems to assess mathematical literacy ability. The steps of this study that consists of analysing, designing, theoretical validation, revising, limited testing to students, and evaluating. The data was collected with written test to 38 students of grade IX at one of state junior high school. Mathematical literacy problems consist of three essays with three indicators and three levels at polyhedron subject. The Indicators are formulating and employing mathematics. The results show that: (1) mathematical literacy problems which are constructed have been valid and practical, (2) mathematical literacy problems have good distinguishing characteristics and adequate distinguishing characteristics, (3) difficulty levels of problems are easy and moderate. The final conclusion is mathematical literacy problems which are constructed can be used to assess mathematical literacy ability.

Teachers' Motivating Methods to Support Thai Ninth Grade Students' Levels of Motivation and Learning in Mathematics Classrooms

ERIC Educational Resources Information Center

Nenthien, Sansanee; Loima, Jyrki

2016-01-01

The aims of this qualitative research were to investigate the level of motivation and learning of ninth grade students in mathematics classrooms in Thailand and to reveal how the teachers supported students' levels of motivation and learning. The participants were 333 students and 12 teachers in 12 mathematics classrooms from four regions of…

Mathematics at A-Level. A Discussion Paper on the Applied Content. No. 93.

ERIC Educational Resources Information Center

Mathematical Association, Leicester (England).

In September 1979, the Mathematical Association in England held a weekend seminar on the scope of Applied Mathematics at A-level, and a subcommittee was established to consider the topic at more length. This paper is the first product of the subcommittee's deliberations. Sections 1 and 2 describe the background to current A-level courses: (1) who…

The Relationship between Multiplication Fact Speed-Recall and Fluency and Higher Level Mathematics Learning with Eighth Grade Middle School Students

ERIC Educational Resources Information Center

Curry, Steven James

2012-01-01

This quantitative study investigated relationships between higher level mathematics learning and multiplication fact fluency, multiplication fact speed-recall, and reading grade equivalency of eighth grade students in Algebra I and Pre-Algebra. Higher level mathematics learning was indicated by an average score of 80% or higher on first and second…

Mathematics anxiety affects counting but not subitizing during visual enumeration.

PubMed

Maloney, Erin A; Risko, Evan F; Ansari, Daniel; Fugelsang, Jonathan

2010-02-01

Individuals with mathematics anxiety have been found to differ from their non-anxious peers on measures of higher-level mathematical processes, but not simple arithmetic. The current paper examines differences between mathematics anxious and non-mathematics anxious individuals in more basic numerical processing using a visual enumeration task. This task allows for the assessment of two systems of basic number processing: subitizing and counting. Mathematics anxious individuals, relative to non-mathematics anxious individuals, showed a deficit in the counting but not in the subitizing range. Furthermore, working memory was found to mediate this group difference. These findings demonstrate that the problems associated with mathematics anxiety exist at a level more basic than would be predicted from the extant literature. Copyright 2009 Elsevier B.V. All rights reserved.

Migration rates and formation injectivity to determine containment time scales of sequestered carbon dioxide

USGS Publications Warehouse

Burke, Lauri

2012-01-01

Additionally, this research establishes a methodology to calculate the injectivity of a target formation. Because injectivity describes the pressure increase due to the introduction of fluids into a formation, the relevant application of injectivity is to determine the pressure increase, due to an injection volume and flow rate, that will induce fractures in the reservoir rocks. This quantity is defined mathematically as the maximum pressure differential between the hydrostatic gradient and the fracture gradient of the target formation. Injectivity is mathematically related to the maximum pressure differential of the formation, and can be used to determine the upper limit for the pressure increase that an injection target can withstand before fracturing.

Contribution of Auditory Learning Style to Students’ Mathematical Connection Ability

NASA Astrophysics Data System (ADS)

Karlimah; Risfiani, F.

2017-09-01

This paper presents the results of the research on the relation of mathematical concept with mathematics, other subjects, and with everyday life. This research reveals study result of the students who had auditory learning style and correlates it with their ability of mathematical connection. In this research, the researchers used a combination model or sequential exploratory design method, which is the use of qualitative and quantitative research methods in sequence. The result proves that giving learning facilities which are not suitable for the class whose students have the auditory learning style results in the barely sufficient math connection ability. The average mathematical connection ability of the auditory students was initially in the medium level of qualification. Then, the improvement in the form of the varied learning that suited the auditory learning style still showed the average ability of mathematical connection in medium level of qualification. Nevertheless, there was increase in the frequency of students in the medium level of qualification and decrease in the very low and low level of qualification. This suggests that the learning facilities, which are appropriate for the student’s auditory learning style, contribute well enough to the students’ mathematical connection ability. Therefore, the mathematics learning for students who have an auditory learning style should consist of particular activity that is understanding the concepts of mathematics and their relations.

Preservice Teachers' Perceptions about Teaching Mathematics through Music

ERIC Educational Resources Information Center

An, Song A.; Tillman, Daniel; Shaheen, Andrea; Boren, Rachel

2014-01-01

This study examined preservice teachers' perceptions about teaching elementary level mathematics lessons integrated with music. It also sought to determine how preservice teachers would strategize the integration of music activities when introducing elementary level mathematics lessons. The participants, 53 undergraduate preservice teachers at a…

Mathematics at matriculation level as an indicator of success or failure in the 1st year of the Veterinary Nursing Diploma at the Faculty of Veterinary Science, University of Pretoria.

PubMed

Botha, A E; McCrindle, C M E; Owen, J H

2003-12-01

Mathematics at matriculation level (Grade 12) is one of the subjects required for admission to the Veterinary Nursing Diploma in the Faculty at Veterinary Science of the University of Pretoria. The present study shows that there is no statistically significant relationship between the grade of mathematics at matriculation level and the success or failure in the 1st year of study. There is, however, a statistical difference in the adjusted mark obtained for mathematics at matriculation level between the groups that passed and failed the 1st year of the veterinary nursing course. The results of this research are not consistent with other research which showed that secondary school mathematics results are not a significant factor in tertiary education. It is recommended that selection criteria for veterinary nurses should in future still include mathematics, but that cognisance should be taken of the mark obtained and students with higher marks (above 57%) given preference.

Numerical study of heating the upper atmosphere by acoustic-gravity waves from a local source on the Earth's surface and influence of this heating on the wave propagation conditions

NASA Astrophysics Data System (ADS)

Karpov, I. V.; Kshevetskii, S. P.

2017-11-01

The propagation of acoustic-gravity waves (AGW) from a source on the Earth's surface to the upper atmosphere is investigated with methods of mathematical modeling. The applied non-linear model of wave propagation in the atmosphere is based on numerical integration of a complete set of two-dimensional hydrodynamic equations. The source on the Earth's surface generates waves with frequencies near to the Brunt-Vaisala frequency. The results of simulation have revealed that some region of heating the atmosphere by propagated upward and dissipated AGWs arises above the source at altitudes nearby of 200 km. The horizontal scale of this heated region is about 1000 km in the case of the source that radiates AGWs during approximately 1 h. The appearing of the heated region has changed the conditions of AGW propagation in the atmosphere. When the heated region in the upper atmosphere has been formed, further a waveguide regime of propagation of waves with the periods shorter the Brunt-Vaisala period is realized. The upper boundary of the wave-guide coincides with the arisen heated region in the upper atmosphere. The considered mechanism of formation of large-scale disturbances in the upper atmosphere may be useful for explanation of connections of processes in the upper and lower atmospheric layers.

Analysis of Undergraduate Students’ Mathematical Understanding Ability of the Limit of Function Based on APOS Theory Perspective

NASA Astrophysics Data System (ADS)

Afgani, M. W.; Suryadi, D.; Dahlan, J. A.

2017-09-01

The aim of this study was to know the level of undergraduate students’ mathematical understanding ability based on APOS theory perspective. The APOS theory provides an evaluation framework to describe the level of students’ understanding and mental structure about their conception to a mathematics concept. The levels of understanding in APOS theory are action, process, object, and schema conception. The subjects were 59 students of mathematics education whom had attended a class of the limit of function at a university in Palembang. The method was qualitative descriptive with 4 test items. The result showed that most of students were still at the level of action conception. They could calculate and use procedure precisely to the mathematics objects that was given, but could not reach the higher conception yet.

International note: Are Emirati parents' attitudes toward mathematics linked to their adolescent children's attitudes toward mathematics and mathematics achievement?

PubMed

Areepattamannil, Shaljan; Khine, Myint Swe; Melkonian, Michael; Welch, Anita G; Al Nuaimi, Samira Ahmed; Rashad, Fatimah F

2015-10-01

Drawing on data from the 2012 Program for International Student Assessment (PISA) and employing multilevel modeling as an analytic strategy, this study examined the relations of adolescent children's perceptions of their parents' attitudes towards mathematics to their own attitudes towards mathematics and mathematics achievement among a sample of 5116 adolescents from 384 schools in the United Arab Emirates. The results of this cross-sectional study revealed that adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children not only to study but also for their career tended to report higher levels of intrinsic and instrumental motivation to learn mathematics, mathematics self-concept and self-efficacy, and mathematics work ethic. Moreover, adolescents who perceived that their parents liked mathematics and considered mathematics was important for their children's career tended to report positive intentions and behaviors toward mathematics. However, adolescents who perceived that their parents considered mathematics was important for their children's career tended to report higher levels of mathematics anxiety. Finally, adolescents who perceived that their parents considered mathematics was important for their children to study performed significantly better on the mathematics assessment than did their peers whose parents disregarded the importance of learning mathematics. Copyright © 2015 The Foundation for Professionals in Services for Adolescents. Published by Elsevier Ltd. All rights reserved.

Mathematics Education in Poland.

ERIC Educational Resources Information Center

Szetela, Walter; Dindorf, Antoni

1982-01-01

This report is based upon three weeks of intensive observations of Polish classrooms from primary to university mathematics. A high level of mathematics content compared to North American schools, a high level of teacher dominance, and the use of specialists in grades 5-12 were among the points noted. (MP)

The problem-solving approach in the teaching of number theory

NASA Astrophysics Data System (ADS)

Toh, Pee Choon; Hoong Leong, Yew; Toh, Tin Lam; Dindyal, Jaguthsing; Quek, Khiok Seng; Guan Tay, Eng; Him Ho, Foo

2014-02-01

Mathematical problem solving is the mainstay of the mathematics curriculum for Singapore schools. In the preparation of prospective mathematics teachers, the authors, who are mathematics teacher educators, deem it important that pre-service mathematics teachers experience non-routine problem solving and acquire an attitude that predisposes them to adopt a Pólya-style approach in learning mathematics. The Practical Worksheet is an instructional scaffold we adopted to help our pre-service mathematics teachers develop problem-solving dispositions alongside the learning of the subject matter. The Worksheet was initially used in a design experiment aimed at teaching problem solving in a secondary school. In this paper, we describe an application and adaptation of the MProSE (Mathematical Problem Solving for Everyone) design experiment to a university level number theory course for pre-service mathematics teachers. The goal of the enterprise was to help the pre-service mathematics teachers develop problem-solving dispositions alongside the learning of the subject matter. Our analysis of the pre-service mathematics teachers' work shows that the MProSE design holds promise for mathematics courses at the tertiary level.

The Use of Original Sources and Its Potential Relation to the Recruitment Problem

ERIC Educational Resources Information Center

Jankvist, Uffe Thomas

2014-01-01

Based on a study about using original sources with Danish upper secondary students, the paper addresses the potential outcome of such an approach in regard to the so-called recruitment problem to the mathematical sciences. 24 students were exposed to questionnaire questions and 16 of these to follow-up interviews, which form the basis for both a…

Using Arts Integration to Make Science Learning Memorable in the Upper Elementary Grades: A Quasi-Experimental Study

ERIC Educational Resources Information Center

Graham, Nicholas James; Brouillette, Liane

2016-01-01

The Next Generation Science Standards (NGSS) have brought a stronger emphasis on engineering into K-12 STEM (science, technology, engineering and mathematics) instruction. Introducing the design process used in engineering into science classrooms simulated a dialogue among some educators about adding the arts to the mix. This led to proposals for…

Improved Statistical Model Of 10.7-cm Solar Radiation

NASA Technical Reports Server (NTRS)

Vedder, John D.; Tabor, Jill L.

1993-01-01

Improved mathematical model simulates short-term fluctuations of flux of 10.7-cm-wavelength solar radiation during 91-day averaging period. Called "F10.7 flux", important as measure of solar activity and because it is highly correlated with ultraviolet radiation causing fluctuations in heating and density of upper atmosphere. F10.7 flux easily measureable at surface of Earth.

Complex compatible taper and volume estimation systems for red and loblolly pine

Treesearch

John C. Byrne; David D. Reed

1986-01-01

Five equation systems are described which can be used to estimate upper stem diameter, total individual tree cubic-foot volume, and merchantable cubic-foot volumes to any merchantability imit (expressed in terms of diameter or height), both inside and outside bark. The equations provide consistent results since they are mathematically related and are fit using stem...

Measuring up: A Simple Lesson That Engages Students in Scientific Practices and Mathematics

ERIC Educational Resources Information Center

Capps, Daniel

2012-01-01

A well-known lesson taught by many upper-elementary and early-middle-school teachers at the beginning of the school year asks students to compare how arm span relates to height. Students measure their height and arm span and compare their measurements to those of their classmates. This lesson gets students measuring, graphing, and practicing…

SES, Ethnic, and Gender Differences in Young Children's Informal Addition and Subtraction: A Clinical Interview Investigation

ERIC Educational Resources Information Center

Ginsburg, Herbert P.; Pappas, Sandra

2004-01-01

The main goal of this study was to examine possible socioeconomic status (SES) differences in 4- and 5-year-old children's informal mathematical knowledge. One hundred and two children, 32 from lower, 39 from middle, and 31 from upper SES families participated in the study. Each participant was given a clinical interview involving several addition…

Biological Modulation of Upper Ocean Physics: Simulating the Biothermal Feedback Effect in Monterey Bay, California

DTIC Science & Technology

2014-04-08

sea (yellow substance) in the UV and visible domains, Limnol. Oceanogr., 26(1), 43–53. Cahill, B., O. Schofield, R. Chant, J. Wilkin , E. Hunter, S...1974), Carbon dioxide exchange of Alnus rubra, A mathematical model, Oecologia Berl., 17, 281–291. Wu, Y., C. C. L. Tang , S. Sathyendranath, and T

English Language Proficiency and Other Factors Influencing Mathematics Achievement at Junior Secondary Level in South Africa.

ERIC Educational Resources Information Center

Howie, Sarah J.; Plomp, Tjeerd

South Africa participated in the Third International Mathematics and Science Study (TIMSS)in 1995 and its repeat in 1999. In 1995, none of the data on school or teacher level could be analyzed to provide the context for the students' poor achievements in mathematics and science. With the 1999 data now available at both school and teacher levels in…

Evaluation Theory for Developmental Mathematics Practitioners

ERIC Educational Resources Information Center

Duranczyk, Irene Mary

2007-01-01

This article is designed to present an overview of critical theory, research, and evaluation for the developmental mathematics educator. Students caught in the gap between high school mathematics preparation and entry-level college mathematics expectations--developmental mathematics education students--need to have their personal narratives told…

Measuring Developmental Students' Mathematics Anxiety

ERIC Educational Resources Information Center

Ding, Yanqing

2016-01-01

This study conducted an item-level analysis of mathematics anxiety and examined the dimensionality of mathematics anxiety in a sample of developmental mathematics students (N = 162) by Multi-dimensional Random Coefficients Multinominal Logit Model (MRCMLM). The results indicate a moderately correlated factor structure of mathematics anxiety (r =…

Earth Algebra.

ERIC Educational Resources Information Center

Schaufele, Christopher; Zumoff, Nancy

Earth Algebra is an entry level college algebra course that incorporates the spirit of the National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards for School Mathematics at the college level. The context of the course places mathematics at the center of one of the major current concerns of the world. Through…

Cognitive and Emotional Factors in Children with Mathematical Learning Disabilities

ERIC Educational Resources Information Center

Passolunghi, Maria Chiara

2011-01-01

Emotional and cognitive factors were examined in 18 children with mathematical learning disabilities (MLD), compared with 18 normally achieving children, matched for chronological age, school level, gender and verbal IQ. Working memory, short-term memory, inhibitory processes, speed of processing and level of anxiety in mathematics were assessed…

Deepening Prospective Mathematics Teachers' Diagnostic Judgments: Interplay of Videos, Focus Questions and Didactic Categories

ERIC Educational Resources Information Center

Prediger, Susanne; Zindel, Carina

2017-01-01

This article combines different conceptualizations of teachers' diagnostic competence in listening to students' mathematical thinking processes on the levels of general perspectives, noticed aspects and activated didactic categories. An empirical study of 159 prospective mathematics teachers' diagnostic judgments investigated how these levels are…

Virginia's College and Career Ready Mathematics Performance Expectations

ERIC Educational Resources Information Center

Virginia Department of Education, 2011

2011-01-01

The Mathematics Performance Expectations (MPE) define the content and level of achievement students must reach to be academically prepared for success in entry-level, credit-bearing mathematics courses in college or career training. They were developed through a process that involved faculty from Virginia's two- and four-year colleges and…

Effectiveness of Using Games in Tertiary-Level Mathematics Classrooms

ERIC Educational Resources Information Center

Afari, Ernest; Aldridge, Jill M.; Fraser, Barry J.

2012-01-01

The primary focus of this study was to investigate the effectiveness of games when used in tertiary-level mathematics classes in the United Arab Emirates. Our study incorporated a mixed-method approach that involved surveys (to assess students' perceptions of the learning environment and attitudes towards mathematics), interviews, observations of…

Delaying Developmental Mathematics: The Characteristics and Costs

ERIC Educational Resources Information Center

Johnson, Marianne; Kuennen, Eric

2004-01-01

This paper investigates which students delay taking a required developmental mathematics course and the impact of delay on student performance in introductory microeconomics. Analysis of a sample of 1462 students at a large Midwestern university revealed that, although developmental-level mathematics students did not reach the same level of…

A Multi-Method Investigation of Mathematics Motivation for Elementary Age Students

ERIC Educational Resources Information Center

Linder, Sandra M.; Smart, Julie B.; Cribbs, Jennifer

2015-01-01

This paper presents the results of a multi-method study examining elementary students with high self-reported levels of mathematics motivation. Second- through fifth-grade students at a Title One school in the southeastern United States completed the Elementary Mathematics Motivation Instrument (EMMI), which examines levels of mathematics…

Examining Occupational Anxiety Level of Mathematics Teachers for Some Variables

ERIC Educational Resources Information Center

Tasdemir, Cahit

2015-01-01

The research aims to examine the occupational anxiety level of Mathematics teacher candidates according to some variables. The research sample included a total of 132 prospective teachers studying in Mathematics Teaching at Siirt University, Faculty of Education in the spring term of 2104-2015 academic year. The "Teacher Concern…

A Holistic Model to Infer Mathematics Performance: The Interrelated Impact of Student, Family and School Context Variables

ERIC Educational Resources Information Center

Zhao, Ningning; Valcke, Martin; Desoete, Annemie; Zhu, Chang; Sang, Guoyuan; Verhaeghe, JeanPierre

2014-01-01

The present study aims at exploring predictors influencing mathematics performance. In particular, the study focuses on internal students' characteristics (gender, age, metacognitive experience, mathematics self-efficacy) and external contextual factors (GDP of school location, parents' educational level, teachers' educational level, and teacher…

Finnish upper secondary students' collaborative processes in learning statistics in a CSCL environment

NASA Astrophysics Data System (ADS)

Kaleva Oikarinen, Juho; Järvelä, Sanna; Kaasila, Raimo

2014-04-01

This design-based research project focuses on documenting statistical learning among 16-17-year-old Finnish upper secondary school students (N = 78) in a computer-supported collaborative learning (CSCL) environment. One novel value of this study is in reporting the shift from teacher-led mathematical teaching to autonomous small-group learning in statistics. The main aim of this study is to examine how student collaboration occurs in learning statistics in a CSCL environment. The data include material from videotaped classroom observations and the researcher's notes. In this paper, the inter-subjective phenomena of students' interactions in a CSCL environment are analysed by using a contact summary sheet (CSS). The development of the multi-dimensional coding procedure of the CSS instrument is presented. Aptly selected video episodes were transcribed and coded in terms of conversational acts, which were divided into non-task-related and task-related categories to depict students' levels of collaboration. The results show that collaborative learning (CL) can facilitate cohesion and responsibility and reduce students' feelings of detachment in our classless, periodic school system. The interactive .pdf material and collaboration in small groups enable statistical learning. It is concluded that CSCL is one possible method of promoting statistical teaching. CL using interactive materials seems to foster and facilitate statistical learning processes.

Reforming the Exhaust Passage of Low-pressure Cylinder for 330MW Steam Turbine

NASA Astrophysics Data System (ADS)

Yan, Tao; Cai, Wen; Chen, Wen; Lu, Jin; Hong-yan, Yang

2018-06-01

In concern of the velocity distribution of the exhaust passage of 330MW turbine is not uniform, which results in higher the upper temperature difference of the condenser and higher exhaust pressure. It is introduced in this article that based on mathematical simulation, steam-equalizing equipment is augmented at the exhaust area of the condenser which makes the decrease in the steam resistance, much more uniform velocity distribution, and the increase of the heat transfer coefficient. By comparison of the condenser performance test before the amending and after, the result shows that after the amending, the upper temperature difference of the condenser and the exhaust pressure decreases dramatically.

The upper bounds of reduced axial and shear moduli in cross-ply laminates with matrix cracks

NASA Technical Reports Server (NTRS)

Lee, Jong-Won; Allen, D. H.; Harris, C. E.

1991-01-01

The present study proposes a mathematical model utilizing the internal state variable concept for predicting the upper bounds of the reduced axial and shear stiffnesses in cross-ply laminates with matrix cracks. The displacement components at the matrix crack surfaces are explicitly expressed in terms of the observable axial and shear strains and the undamaged material properties. The reduced axial and shear stiffnesses are predicted for glass/epoxy and graphite/epoxy laminates. Comparison of the model with other theoretical and experimental studies is also presented to confirm direct applicability of the model to angle-ply laminates with matrix cracks subjected to general in-plane loading.

Statistical methods for astronomical data with upper limits. I - Univariate distributions

NASA Technical Reports Server (NTRS)

Feigelson, E. D.; Nelson, P. I.

1985-01-01

The statistical treatment of univariate censored data is discussed. A heuristic derivation of the Kaplan-Meier maximum-likelihood estimator from first principles is presented which results in an expression amenable to analytic error analysis. Methods for comparing two or more censored samples are given along with simple computational examples, stressing the fact that most astronomical problems involve upper limits while the standard mathematical methods require lower limits. The application of univariate survival analysis to six data sets in the recent astrophysical literature is described, and various aspects of the use of survival analysis in astronomy, such as the limitations of various two-sample tests and the role of parametric modelling, are discussed.

SURE reliability analysis: Program and mathematics

NASA Technical Reports Server (NTRS)

Butler, Ricky W.; White, Allan L.

1988-01-01

The SURE program is a new reliability analysis tool for ultrareliable computer system architectures. The computational methods on which the program is based provide an efficient means for computing accurate upper and lower bounds for the death state probabilities of a large class of semi-Markov models. Once a semi-Markov model is described using a simple input language, the SURE program automatically computes the upper and lower bounds on the probability of system failure. A parameter of the model can be specified as a variable over a range of values directing the SURE program to perform a sensitivity analysis automatically. This feature, along with the speed of the program, makes it especially useful as a design tool.

Deepening Pre-Service Secondary Teachers' Mathematical Content Knowledge through Engaging with Peers' Mathematical Contributions

ERIC Educational Resources Information Center

Pournara, C.

2016-01-01

Depth and rigour in mathematical knowledge for pre-service secondary school mathematics teachers may be found in particular experiences of learning and doing school-level mathematics. Drawing on two cases from a course on financial mathematics for secondary school teachers, I illustrate opportunities for exploring compound and exponential growth.…

Preservice Secondary Teachers Perceptions of College-Level Mathematics Content Connections with the Common Core State Standards for Mathematics

ERIC Educational Resources Information Center

Olson, Travis A.

2016-01-01

Preservice Secondary Mathematics Teachers (PSMTs) were surveyed to identify if they could connect early-secondary mathematics content (Grades 7-9) in the Common Core State Standards for Mathematics (CCSSM) with mathematics content studied in content courses for certification in secondary teacher preparation programs. Respondents were asked to…

Literacy in Language and Mathematics: More in Common Than You Think

ERIC Educational Resources Information Center

Thompson, Denisse R.; Rubenstein, Rheta N.

2014-01-01

This paper shares perspectives on literacy in mathematics, particularly highlighting commonalities with literacy in language arts. We discuss levels of language development appropriate for the mathematics classroom, issues related to mathematical definitions, implied meanings in many mathematics concepts, and the importance of justification. We…

System and method for inventorying multiple remote objects

DOEpatents

Carrender, Curtis L.; Gilbert, Ronald W.

2007-10-23

A system and method of inventorying multiple objects utilizing a multi-level or a chained radio frequency identification system. The system includes a master tag and a plurality of upper level tags and lower level tags associated with respective objects. The upper and lower level tags communicate with each other and the master tag so that reading of the master tag reveals the presence and absence of upper and lower level tags. In the chained RF system, the upper and lower level tags communicate locally with each other in a manner so that more remote tags that are out of range of some of the upper and lower level tags have their information relayed through adjacent tags to the master tag and thence to a controller.

System and method for inventorying multiple remote objects

DOEpatents

Carrender, Curtis L [Morgan Hill, CA; Gilbert, Ronald W [Morgan Hill, CA

2009-12-29

A system and method of inventorying multiple objects utilizing a multi-level or a chained radio frequency identification system. The system includes a master tag and a plurality of upper level tags and lower level tags associated with respective objects. The upper and lower level tags communicate with each other and the master tag so that reading of the master tag reveals the presence and absence of upper and lower level tags. In the chained RF system, the upper and lower level tags communicate locally with each other in a manner so that more remote tags that are out of range of some of the upper and lower level tags have their information relayed through adjacent tags to the master tag and thence to a controller.

Mathematical Games: Antithesis or Assistance?

ERIC Educational Resources Information Center

Harvey, John G.; Bright, George W.

1985-01-01

After presenting the case for using games to teach higher-level skills, four mathematics instructional games are given. At the comprehension level are Average Hands and Polyhedron Rummy. Prime Plus is at the application level, while In Proportion is at the analysis level. (MNS)

Analysis of creative mathematic thinking ability in problem based learning model based on self-regulation learning

NASA Astrophysics Data System (ADS)

Munahefi, D. N.; Waluya, S. B.; Rochmad

2018-03-01

The purpose of this research identified the effectiveness of Problem Based Learning (PBL) models based on Self Regulation Leaning (SRL) on the ability of mathematical creative thinking and analyzed the ability of mathematical creative thinking of high school students in solving mathematical problems. The population of this study was students of grade X SMA N 3 Klaten. The research method used in this research was sequential explanatory. Quantitative stages with simple random sampling technique, where two classes were selected randomly as experimental class was taught with the PBL model based on SRL and control class was taught with expository model. The selection of samples at the qualitative stage was non-probability sampling technique in which each selected 3 students were high, medium, and low academic levels. PBL model with SRL approach effectived to students’ mathematical creative thinking ability. The ability of mathematical creative thinking of low academic level students with PBL model approach of SRL were achieving the aspect of fluency and flexibility. Students of academic level were achieving fluency and flexibility aspects well. But the originality of students at the academic level was not yet well structured. Students of high academic level could reach the aspect of originality.

Establishment of reference values in a healthy population and interpretation of serum PTH concentrations in hemodialyzed patients according to the KDIGO Guidelines using the Lumipulse® G whole PTH (3rd generation) assay.

PubMed

Cavalier, Etienne; Salsé, Margot; Dupuy, Anne-Marie; Bargnoux, Anne-Sophie; Watar, Florence; Souberbielle, Jean-Claude; Delanaye, Pierre; Cristol, Jean-Paul

2018-04-01

3rd generation PTH assays only detect the bioactive 1-84 fragment. Since standardization is still lacking, each new PTH assay requires to establish reference values and to assess the impact in the medical care of the mineral and bone disorders in hemodialyzed patients. Using Fujirebio Lumipulse G wPTH assay, serum PTH levels were measured in a population of 439 healthy subjects from France and Belgium PTH levels were also determined in 119 hemodialyzed patients. These patients were classified according to the KDIGO recommendation. Reference range was found to be 6.5 (90%CI: 6.0-7.0) - 41.8 (90% CI: 38.1-43.7). In hemodialysis patients, Passing-Bablock regression between 3rd generation PTH from Fujirebio and DiaSorin was DiaSorin = 1.01 xFujirebio-2.4 with a slope not different from 1.0(95%CI: 0.96-1.04) and a non-significant intercept, ranging from -6.0 to 0.1. Hemodialysis patients with a PTH concentration below 2-fold the Upper Limit of Normality (ULN), within the KDIGO range and upper 9-fold upper limit were respectively 33.6%, 54.6%, 11.8% (Fujirebio Lumipulse) and 36.1%, 51.3% and 12.6% (Diasorin Liaison). We determined a reference range with the 3rd generation PTH assay from Fujirebio. In a hemodialysis population, 3rd generation assays from Fujirebio and DiaSorin provide similar results. To the best of our knowledge, this is the first time that we can show similar PTH results obtained by 2 different 3rd generation PTH assays in healthy subjects and hemodialyzed patients without mathematically processing them. Copyright © 2018 The Canadian Society of Clinical Chemists. Published by Elsevier Inc. All rights reserved.

Mathematics creative thinking levels based on interpersonal intelligence

NASA Astrophysics Data System (ADS)

Kuncorowati, R. H.; Mardiyana; Saputro, D. R. S.

2017-12-01

Creative thinking ability was one of student’s ability to determine various alternative solutions toward mathematics problem. One of indicators related to creative thinking ability was interpersonal intelligence. Student’s interpersonal intelligence would influence to student’s creativity. This research aimed to analyze creative thinking ability level of junior high school students in Karanganyar using descriptive method. Data was collected by test, questionnaire, interview, and documentation. The result showed that students with high interpersonal intelligence achieved third and fourth level in creative thinking ability. Students with moderate interpersonal intelligence achieved second level in creative thinking ability and students with low interpersonal intelligence achieved first and zero level in creative thinking ability. Hence, students with high, moderate, and low interpersonal intelligence could solve mathematics problem based on their mathematics creative thinking ability.

The effect of mathematics anxiety on the processing of numerical magnitude.

PubMed

Maloney, Erin A; Ansari, Daniel; Fugelsang, Jonathan A

2011-01-01

In an effort to understand the origins of mathematics anxiety, we investigated the processing of symbolic magnitude by high mathematics-anxious (HMA) and low mathematics-anxious (LMA) individuals by examining their performance on two variants of the symbolic numerical comparison task. In two experiments, a numerical distance by mathematics anxiety (MA) interaction was obtained, demonstrating that the effect of numerical distance on response times was larger for HMA than for LMA individuals. These data support the claim that HMA individuals have less precise representations of numerical magnitude than their LMA peers, suggesting that MA is associated with low-level numerical deficits that compromise the development of higher level mathematical skills.

Teachers' Perceptions of Teaching Mathematics at the Senior Secondary Level in Fiji

ERIC Educational Resources Information Center

Dayal, Hem Chand

2013-01-01

In recent times, there has been considerable interest shown in the affective domain of mathematics education with research findings pointing out that affective variables have profound impact on classroom practices of mathematics teachers. In other words, teachers' conceptions of mathematics and mathematics teaching are greatly influenced by…

Mathematics-Related Emotions among Finnish Adolescents across Different Performance Levels

ERIC Educational Resources Information Center

Holm, Marja Eliisa; Hannula, Markku Sakari; Björn, Piia Maria

2017-01-01

This study examined the relation of mathematics performance and gender with seven mathematics-related emotions (enjoyment, pride, anger, anxiety, shame, hopelessness and boredom) among adolescents. Using strict and lenient mathematics performance cut-off scores, respective groups of adolescents with mathematics difficulties (MD, n = 136), low (LA,…

Mathematical Modelling Approach in Mathematics Education

ERIC Educational Resources Information Center

Arseven, Ayla

2015-01-01

The topic of models and modeling has come to be important for science and mathematics education in recent years. The topic of "Modeling" topic is especially important for examinations such as PISA which is conducted at an international level and measures a student's success in mathematics. Mathematical modeling can be defined as using…

Secondary-Level Student Teachers' Conceptions of Mathematical Proof

ERIC Educational Resources Information Center

Varghese, Thomas

2009-01-01

Recent reforms in mathematics education have led to an increased emphasis on proof and reasoning in mathematics curricula. The National Council of Teachers of Mathematics highlights the important role that teachers' knowledge and beliefs play in shaping students' understanding of mathematics, their confidence in and outlook on mathematics…

The Mathematics Teacher Development with Peer Tutoring Program.

ERIC Educational Resources Information Center

Duffie, William B.; Guida, Frank V.

This project addresses the problem of inadequate mathematics high school teacher staffing and the shortage of mathematics specialists in the elementary school. Regular elementary school teachers interested in becoming certified as high school mathematics teachers, and who had taken at least three college-level mathematics courses, were invited to…

Adults' Use of Mathematics and Its Influence on Mathematical Competence

ERIC Educational Resources Information Center

Duchhardt, Christoph; Jordan, Anne-Katrin; Ehmke, Timo

2017-01-01

The Programme for the International Assessment of Adult Competencies (PIAAC) has recently drawn additional attention to "mathematical literacy" as an important influential factor for individuals' life chances. High levels of mathematical literacy have thereby been linked to using mathematics in daily and working life frequently. In this…

Mathematics Achievement in High- and Low-Achieving Secondary Schools

ERIC Educational Resources Information Center

Mohammadpour, Ebrahim; Shekarchizadeh, Ahmadreza

2015-01-01

This paper identifies the amount of variance in mathematics achievement in high- and low-achieving schools that can be explained by school-level factors, while controlling for student-level factors. The data were obtained from 2679 Iranian eighth graders who participated in the 2007 Trends in International Mathematics and Science Study. Of the…

Teacher Professionalism--An Innovative Programme for Teaching Mathematics to Foundation Level Learners with Limited Language Proficiency.

ERIC Educational Resources Information Center

Naude, H.; Pretorius, E.; Vandeyar, S.

2003-01-01

Details a study of the ways that limited language proficiency affected learners' readiness for mathematics instruction among disadvantaged preschoolers within a Griqua community in South Africa. Notes a link between limited language proficiency and nonreadiness for foundation level mathematics due to limited thinking skills, which constitute…

78 FR 70303 - Announcement of Requirements and Registration for the Predict the Influenza Season Challenge

Federal Register 2010, 2011, 2012, 2013, 2014

2013-11-25

... public. Mathematical and statistical models can be useful in predicting the timing and impact of the... applying any mathematical, statistical, or other approach to predictive modeling. This challenge will... Services (HHS) region level(s) in the United States by developing mathematical and statistical models that...

Mathematics Objectives and Measurement Specifications 1986-1990. Exit Level. Texas Educational Assessment of Minimum Skills (TEAMS).

ERIC Educational Resources Information Center

Texas Education Agency, Austin. Div. of Educational Assessment.

This document lists the objectives for the Texas educational assessment program in mathematics. Eighteen objectives for exit level mathematics are listed, by category: number concepts (4); computation (3); applied computation (5); statistical concepts (3); geometric concepts (2); and algebraic concepts (1). Then general specifications are listed…

Let's Keep the College in Our Community Colleges: Mathematics for College Transfer.

ERIC Educational Resources Information Center

Curnutt, Larry

Preparing students for transfer to four-year colleges remains a significant part of the mission of most community college mathematicians. For some 30 years, calculus has been synonymous with entry-level college mathematics. Recent educational and technological changes, however, demand that the definition of college-level work in mathematics be…

The Efficacy of Instructional Strategy on Mathematics Achievement, Attitudes, and Anxiety Levels of Developmental Math Students

ERIC Educational Resources Information Center

Thomas-Browne, Carmen G.

2009-01-01

This dissertation investigated three instructional strategies in developmental math classes to determine if instructional strategy had a positive effect on student achievement, attitude towards mathematics, and anxiety level towards mathematics at a college in western Pennsylvania for students majoring in applied arts. The significance of this…

The Relationship between Reading Level and Sixth Grade Students' Acquisition of Mathematics Standards

ERIC Educational Resources Information Center

Caruthers, Tarchell Peeples

2013-01-01

Current research shows that, despite standards-based mathematics reform, American students lag behind in mathematics achievement when compared to their counterparts in other countries. The purpose of this mixed methods study was to examine if reading level, as measured by the Scholastic Reading Inventory, is related to standards-based mathematics…

Investigating Level of Mathematics Knowledge for Students Attending Vocational Schools in Turkey

ERIC Educational Resources Information Center

Colakoglu, Nurdan

2013-01-01

Students attend mathematics courses in Turkey for totally 11 years, throughout education life ranging from primary school to university, including eight years in primary education and three years in secondary education (four years based on new arrangement); however, level of mathematic knowledge of students is upsetting when they reach university…

Zimbabwean Female Participation in Physics: The Influence of Identity Formation on Perception and Participation

ERIC Educational Resources Information Center

Gudyanga, Anna; Kurup, Raj

2017-01-01

The study investigated the influence of identity formation on the perceptions and participation of Zimbabwean Advanced Level (A' Level) female adolescent students in physics. Nine female adolescent students eighteen years and above: three doing mathematics and physics, one doing physics without mathematics and five doing mathematics without…

An Assessment of the Level of Mathematics in Introductory Meteorology Textbooks.

NASA Astrophysics Data System (ADS)

Ulanski, Stan L.

1992-10-01

A review of introductory meteorology textbooks shows a wide difference in the level of mathematical treatment of atmospheric principles-from virtually none to fairly high. Particular deficiencies include lack of equations integrated into the text, problem-solving examples, and paucity of end-of-chapter questions requiring mathematical reasoning. These issues are raised in order to generate discussion among the meteorological community with regard to the degree of interaction between mathematics and meteorology in introductory courses.

Spatial Skill Profile of Mathematics Pre-Service Teachers

NASA Astrophysics Data System (ADS)

Putri, R. O. E.

2018-01-01

This study is aimed to investigate the spatial intelligence of mathematics pre-service teachers and find the best instructional strategy that facilitates this aspect. Data were collected from 35 mathematics pre-service teachers. The Purdue Spatial Visualization Test (PSVT) was used to identify the spatial skill of mathematics pre-service teachers. Statistical analysis indicate that more than 50% of the participants possessed spatial skill in intermediate level, whereas the other were in high and low level of spatial skill. The result also shows that there is a positive correlation between spatial skill and mathematics ability, especially in geometrical problem solving. High spatial skill students tend to have better mathematical performance compare to those in two other levels. Furthermore, qualitative analysis reveals that most students have difficulty in manipulating geometrical objects mentally. This problem mostly appears in intermediate and low-level spatial skill students. The observation revealed that 3-D geometrical figures is the best method that can overcome the mentally manipulation problem and develop the spatial visualization. Computer application can also be used to improve students’ spatial skill.

On the Roles of Upper- versus Lower-level Thermal Forcing in Shifting the Eddy-Driven Jet

NASA Astrophysics Data System (ADS)

Zhang, Y.; Nie, Y.; Chen, G.; Yang, X. Q.

2017-12-01

One most drastic atmospheric change in the global warming scenario is the increase in temperature over tropical upper-troposphere and polar surface. The strong warming over those two area alters the spacial distributions of the baroclinicity in the upper-troposphere of subtropics and in the lower-level of subpolar region, with competing effects on the mid-latitude atmospheric circulation. The final destination of the eddy-driven jet in future climate could be "a tug of war" between the impacts of such upper- versus lower-level thermal forcing. In this study, the roles of upper- versus lower-level thermal forcing in shifting the eddy-driven jet are investigated using a nonlinear multi-level quasi-geostrophic channel model. All of our sensitivity experiments show that the latitudinal position of the eddy-driven jet is more sensitive to the upper-level thermal forcing. Such upper-level dominance over the lower-level forcing can be attributed to the different mechanisms through which eddy-driven jet responses to them. The upper-level thermal forcing induces a jet shift mainly by affecting the baroclinic generation of eddies, which supports the latitudinal shift of the eddy momentum flux convergence. The jet response to the lower-level thermal forcing, however, is strongly "eddy dissipation control". The lower-level forcing, by changing the baroclinicity in the lower troposphere, induces a direct thermal zonal wind response in the upper level thus modifies the nonlinear wave breaking and the resultant irreversible eddy mixing, which amplifies the latitudinal shift of the eddy-driven jet. Whether the eddy response is "generation control" or "dissipation control" may strongly depend on the eddy behavior in its baroclinic processes. Only the anomalous eddy generation that penetrates into the upper troposphere can have a striking impact on the eddy momentum flux, which pushes the jet shift more efficiently and dominates the eddy response.

Upper limb injury in rugby union football: results of a cohort study.

PubMed

Usman, Juliana; McIntosh, Andrew Stuart

2013-04-01

There have been few in-depth studies of upper limb injury epidemiology in rugby union football, despite reports that they accounted for between 14% and 28% of all rugby injuries. To report on upper limb injury incidence, injury severity and to identify the risk factors associated with upper limb injuries, for example, level of play, season (years) and playing position. Prospective cohort study across five rugby seasons from 2004 to 2008. Formal rugby competitions-suburban, provincial and international. 1475 adult male rugby players in Colts, Grade and Elite competitions. An upper limb injury resulting in a missed game and its characteristics. A total of 61 598 athletic exposures (AE) and 606 upper limb injuries were recorded. About 66% of the injuries were to the shoulder. The overall upper limb injury incidence rate (IIR) was 9.84 injuries/1000 AE (95% CI 9.06 to 10.62). Statistically significant associations were found between upper limb injuries and level of play; and between shoulder injuries and playing position (p<0.05). No association was found between upper limb and shoulder injuries and study year. The overall upper limb IIR decreased as the level of play increased; 10.74 upper limb injuries/1000 AE (95% CI 9.93 to 11.56) in Colts to 6.07 upper limb injuries/1000 AE (95% CI 5.46 to 6.69) in Elite. The upper limb IIR decreased as the level of play increased indicating that age, level of skill and playing experience may be risk factors for upper limb injury.

A database and probabilistic assessment methodology for carbon dioxide enhanced oil recovery and associated carbon dioxide retention in the United States

USGS Publications Warehouse

Warwick, Peter D.; Verma, Mahendra K.; Attanasi, Emil; Olea, Ricardo A.; Blondes, Madalyn S.; Freeman, Philip; Brennan, Sean T.; Merrill, Matthew; Jahediesfanjani, Hossein; Roueche, Jacqueline; Lohr, Celeste D.

2017-01-01

The U.S. Geological Survey (USGS) has developed an assessment methodology for estimating the potential incremental technically recoverable oil resources resulting from carbon dioxide-enhanced oil recovery (CO2-EOR) in reservoirs with appropriate depth, pressure, and oil composition. The methodology also includes a procedure for estimating the CO2 that remains in the reservoir after the CO2-EOR process is complete. The methodology relies on a reservoir-level database that incorporates commercially available geologic and engineering data. The mathematical calculations of this assessment methodology were tested and produced realistic results for the Permian Basin Horseshoe Atoll, Upper Pennsylvanian-Wolfcampian Play (Texas, USA). The USGS plans to use the new methodology to conduct an assessment of technically recoverable hydrocarbons and associated CO2 sequestration resulting from CO2-EOR in the United States.

Total Variation Denoising and Support Localization of the Gradient

NASA Astrophysics Data System (ADS)

Chambolle, A.; Duval, V.; Peyré, G.; Poon, C.

2016-10-01

This paper describes the geometrical properties of the solutions to the total variation denoising method. A folklore statement is that this method is able to restore sharp edges, but at the same time, might introduce some staircasing (i.e. “fake” edges) in flat areas. Quite surprisingly, put aside numerical evidences, almost no theoretical result are available to backup these claims. The first contribution of this paper is a precise mathematical definition of the “extended support” (associated to the noise-free image) of TV denoising. This is intuitively the region which is unstable and will suffer from the staircasing effect. Our main result shows that the TV denoising method indeed restores a piece-wise constant image outside a small tube surrounding the extended support. Furthermore, the radius of this tube shrinks toward zero as the noise level vanishes and in some cases, an upper bound on the convergence rate is given.

Mathematical properties and bounds on haplotyping populations by pure parsimony.

PubMed

Wang, I-Lin; Chang, Chia-Yuan

2011-06-01

Although the haplotype data can be used to analyze the function of DNA, due to the significant efforts required in collecting the haplotype data, usually the genotype data is collected and then the population haplotype inference (PHI) problem is solved to infer haplotype data from genotype data for a population. This paper investigates the PHI problem based on the pure parsimony criterion (HIPP), which seeks the minimum number of distinct haplotypes to infer a given genotype data. We analyze the mathematical structure and properties for the HIPP problem, propose techniques to reduce the given genotype data into an equivalent one of much smaller size, and analyze the relations of genotype data using a compatible graph. Based on the mathematical properties in the compatible graph, we propose a maximal clique heuristic to obtain an upper bound, and a new polynomial-sized integer linear programming formulation to obtain a lower bound for the HIPP problem. Copyright © 2011 Elsevier Inc. All rights reserved.

CSMP Mathematics for the Upper Primary Grades Part II, Teacher's Guide [and] Worksheets. General Introduction. The World of Numbers. Final Experimental Version.

ERIC Educational Resources Information Center

Heidema, Clare; Schweitzer, Janis

This guide represents the final experimental version of a pilot project conducted in the United States between 1973 and 1976. The ideas and manner of presentation are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

CSMP Mathematics for the Upper Primary Grades Part I, Teacher's Guide [and] Worksheets. General Introduction. The World of Numbers. Final Experimental Version.

ERIC Educational Resources Information Center

Heidema, Clare; Schweitzer, Janis

This guide represents the final experimental version of a pilot project conducted in the United States between 1973 and 1976. The ideas and manner of presentation are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

Impact of a Brief Ego Depletion Procedure on Creative Behaviour in the Upper Primary Classroom

ERIC Educational Resources Information Center

Price, Deborah Ann; Yates, Gregory C. R.

2015-01-01

In the course of normal classroom lessons, 103 students (median 11.10 years) were asked to spend 15 min writing "anything you can think of" about the number 50 on a blank page. The products were independently scored by 2 specialist art teachers and 2 specialist mathematics teachers on criteria relevant to their specialisations.…

How the Montessori Upper Elementary and Adolescent Environment Naturally Integrates Science, Mathematics, Technology, and the Environment

ERIC Educational Resources Information Center

McNamara, John

2016-01-01

John McNamara shares his wisdom and humbly credits Camillo Grazzini, Jenny Höglund, and David Kahn for his growth in Montessori. Recognizing more than what he has learned from his mentors, he shares the lessons he has learned from his students themselves. Math, science, history, and language are so integrated in the curriculum that students…

It's Not the Moore Method, But… a Student-Driven, Textbook-Supported, Approach to Teaching Upper-Division Mathematics

ERIC Educational Resources Information Center

Shannon, Kathleen

2018-01-01

This paper describes, as an alternative to the Moore Method or a purely flipped classroom, a student-driven, textbook-supported method for teaching that allows movement through the standard course material with differing depths, but the same pace. This method, which includes a combination of board work followed by class discussion, on-demand brief…

Investigating middle school students’ difficulties in mathematical literacy problems level 1 and 2

NASA Astrophysics Data System (ADS)

Setiawati, S.; Herman, T.; Jupri, A.

2017-11-01

The background of this study is the lack of mathematical literacy skills of students. The proficiency of students’ mathematical literacy skills based on the results of the PISA 2015 study shows that Indonesian students at the proficiency level 1. This fact gave rise to this study which aims to investigate middle school students’ difficulties in mathematical literacy problems level 1 and 2. Qualitative research was used in this study. An individual written test on mathematical literacy problems was administered, followed by interviews. The subjects of the study were 61 students grade VII in Bandung and 26 of them were interviewed afterward. Data analysis revealed that students’ error in performing arithmetic most frequently observed. Other observed difficulties concerned understanding about algebra concept, applying arithmetic operation in algebraic expressions, and interpreting symbols to represent the unknown. In solving mathematical literacy problems, students use their prior knowledge, although sometimes not relevant to the questions. Based on the results, we suggest that mathematics learning in contextual learning and which invites students to participate in the processes of understanding the concepts.

An empirical investigation of differences between mathematics specialists and non-specialists at the high school level in Cyprus: A Logistic regression Approach

NASA Astrophysics Data System (ADS)

Papanastasiou, Elena C.; Zembylas, Michalinos

2006-12-01

AN EMPIRICAL INVESTIGATION OF DIFFERENCES BETWEEN MATHEMATICS SPECIALISTS AND NON-SPECIALISTS AT THE HIGH-SCHOOL LEVEL in Cyprus - The data obtained from high-school seniors for the Third International Mathematics and Science Study (TIMSS) for the country of Cyprus appear to be contradictory. Although Cypriot students did not perform well in mathematics in elementary school, middle school, and in the non-advanced sectors of high school, students in advanced mathematics courses in high school managed to perform exceptionally well. In seeking to account for this apparent disparity, the present study examines the differences between mathematics specialists and non-specialists at the high-school level and discusses the implications that these have for teaching practice. It shows how students educated in an environment that might not be optimal for producing high-achieving students in mathematics and science in elementary and middle school (according to the TIMSS) might nonetheless manage to excel in these fields at the end of their schooling. In conclusion, the authors address the implications of their study for similar educational systems in other developing countries.

A study of the continuum of integration of mathematics content with science concepts at the middle school level in West Virginia

NASA Astrophysics Data System (ADS)

Meisel, Edna Marie

The purpose of this study was to examine the practices and perceptions of regular education seventh grade middle school mathematics teachers in West Virginia concerning the integration of mathematics objectives with science concepts. In addition, this study also emphasized the use of integrated curriculum continuum models to study mathematics teachers' practices and perceptions for teaching mathematics objectives in connection with science concepts. It was argued that the integrated curriculum continuum model can be used to help educators begin to form a common definition of integrated curriculum. The population was described as the regular education seventh grade middle school mathematics teachers in West Virginia. The entire population (N = 173) was used as the participants in this study. Data was collected using an integrated curriculum practices and perceptions survey constructed by the researcher. This was a descriptive study that incorporated the Chi Square statistic to show trends in teacher practices and perceptions. Also, an ex post facto design, that incorporated the Mann-Whitney U statistic, was used to compare practices and perceptions between teachers grouped according to factors that influence teaching practices and perceptions. These factors included teaching certificate endorsement and teacher professional preparation. Results showed that the regular education seventh grade middle school mathematics teachers of West Virginia are teaching mathematics objectives mainly at a discipline-based level with no formal attempt for integration with science concepts. However, these teachers perceived that many of the mathematics objectives should be taught at varying levels of integration with science concepts. It was also shown that teachers who experienced professional preparation courses that emphasized integrated curriculum courses did teach many of the mathematics objectives at higher levels of integration with science than those teachers who did not experience integrated curriculum courses.

Discrete Mathematics and the Secondary Mathematics Curriculum.

ERIC Educational Resources Information Center

Dossey, John

Discrete mathematics, the mathematics of decision making for finite settings, is a topic of great interest in mathematics education at all levels. Attention is being focused on resolving the diversity of opinion concerning the exact nature of the subject, what content the curriculum should contain, who should study that material, and how that…

Master's Students' Perceptions of Microsoft Word for Mathematical Typesetting

ERIC Educational Resources Information Center

Loch, Birgit; Lowe, Tim W.; Mestel, Ben D.

2015-01-01

It is widely recognized that mathematical typesetting is more difficult than typesetting in most other disciplines due to the need for specialized mathematical notation and symbols. While most mathematicians type mathematical documents using LaTeX, with varying levels of proficiency, students often use other options or handwrite mathematics. Here,…

The Use of Teachers' Baseline Normative Beliefs to Guide Professional Development in Teaching Mathematics

ERIC Educational Resources Information Center

Lloyd, Mary Elizabeth Riley; Veal, William; Howell, Malia

2016-01-01

This article describes the normative beliefs and the discursive claims related to mathematics and teaching mathematics made by approximately 50 middle-level and secondary mathematics teachers within four high-need local education associations participating in a Mathematics and Science Partnership with a southeastern college's Science and Math for…

Does Biliteracy + Mathematical Discourse = Binumerate Development? Language Use in a Middle School Dual-Language Mathematics Classroom

ERIC Educational Resources Information Center

Rubinstein-Ávila, Eliane; Sox, Amanda A.; Kaplan, Suzanne; McGraw, Rebecca

2015-01-01

Few studies on the role of bilingualism in mathematics classrooms explore the intersection of biliteracy, language use, mathematical discourse, and numeracy--especially at the middle school level. Drawing from biliteracy development theory and reform mathematics education literature, this qualitative case study of a dual-language mathematics…

Preserving Pelicans with Models That Make Sense

ERIC Educational Resources Information Center

Moore, Tamara J.; Doerr, Helen M.; Glancy, Aran W.; Ntow, Forster D.

2015-01-01

Getting students to think deeply about mathematical concepts is not an easy job, which is why we often use problem-solving tasks to engage students in higher-level mathematical thinking. Mathematical modeling, one of the mathematical practices found in the Common Core State Standards for Mathematics (CCSSM), is a type of problem solving that can…

Exploring the Relationship between Questioning, Enacted Mathematical Tasks, and Mathematical Discourse in Elementary School Mathematics

ERIC Educational Resources Information Center

Martin, Christie; Polly, Drew; McGee, Jen; Wang, Chuang; Lambert, Richard; Pugalee, David

2015-01-01

This study examined the mathematical discourse of elementary school teachers and their students while participating in a year-long professional development project focused on implementing reform-based mathematics curriculum. The teacher participants included 12 teachers, two from each grade level from Kindergarten through Grade 5. Field notes were…

Pre-Service Secondary Mathematics Teachers Making Sense of Definitions of Functions

ERIC Educational Resources Information Center

Chesler, Joshua

2012-01-01

Definitions play an essential role in mathematics. As such, mathematics teachers and students need to flexibly and productively interact with mathematical definitions in the classroom. However, there has been little research about mathematics teachers' understanding of definitions. At an even more basic level, there is little clarity about what…

Mathematics Anxiety of Ninth Grade Students

ERIC Educational Resources Information Center

Yavuz, Günes

2018-01-01

Human beings have been using mathematics since they got familiar with the environment they lived in. Because of this reason, the emphasis of necessity of mathematics education for schools with various levels in different countries has undoubtedly been agreed upon. Mathematics anxiety is a problem for many people. Mathematics anxiety is one of the…

Handbook of applied mathematics for engineers and scientists

DOE Office of Scientific and Technical Information (OSTI.GOV)

Kurtz, M.

1991-12-31

This book is intended to be reference for applications of mathematics in a wide range of topics of interest to engineers and scientists. An unusual feature of this book is that it covers a large number of topics from elementary algebra, trigonometry, and calculus to computer graphics and cybernetics. The level of mathematics covers high school through about the junior level of an engineering curriculum in a major univeristy. Throughout, the emphasis is on applications of mathematics rather than on rigorous proofs.

A survey of major east coast snowstorms, 1960-1983. Part 2. Summary of surface and upperlevel characteristics

NASA Technical Reports Server (NTRS)

Kocin, P. J.; Uccellini, L. W.

1985-01-01

Surface and upper-level characteristics of selected meteorological fields are summarized. Two major types of sea level development are described and applied to the cases at hand, with a few storm systems showing characteristics of both types. Aspects such as rapid sea level deepening, coastal frontogenesis, cold air damming, low level jet formation, the development of an S-shaped isotherm pattern, diffluence downwind of a negatively tilted upper level trough axis, upper level confluence and an increase of geopotential heights at the base of the upper level trough characterized the pre-cyclogenetic and cyclogenetic periods of many of the storm systems. Large variability was also observed, especially with regard to the spatial dimensions of the surface and upper level systems, as well as variations in trough/ridge amplification and the evolution of upper level jet streak systems. The influence of transverse circulations associated with a confluent jet streak entrance region and the diffluent exit region of a jet streak/trough system on the production of snowfall is also discussed.

Mathematics anxiety among talented students.

PubMed

Lupkowski, A E; Schumacker, R E

1991-12-01

In order to test the assumption that mathematically talented students show little mathematics anxiety, students participating in an early entrance to college program for talented students were asked to complete the Mathematics Anxiety Rating Scale. Results indicated that these talented students were less math anxious than most unselected college students. However, they were more math anxious than a group of college students majoring in physics. Females in the study showed a tendency to be more math anxious than males (d=-.32), although this finding was not significant. No relationship between level of mathematics anxiety and grades or math anxiety and Scholastic Aptitude Test - Mathematics scores was found for the group of subjects. However, when those relationships were examined for males alone, higher verbal scores and higher grades were associated with lower levels of mathematics anxiety. These relationships were not evident for females.

Does the advantage of the upper part of words occur at the lexical level?

PubMed

Perea, Manuel; Comesaña, Montserrat; Soares, Ana P

2012-11-01

Several recent studies have shown that the upper part of words is more important than the lower part in visual word recognition. Here, we examine whether or not this advantage arises at the lexical or at the letter (letter feature) level. To examine this issue, we conducted two lexical decision experiments in which words/pseudowords were preceded by a very brief (50-ms) presentation of their upper or lower parts (e.g., ). If the advantage for the upper part of words arises at the letter (letter feature) level, the effect should occur for both words and pseudowords. Results revealed an advantage for the upper part of words, but not for pseudowords. This suggests that the advantage for the upper part of words occurs at the lexical level, rather than at the letter (or letter feature) level.

Math Anxiety--Contributing School and Individual Level Factors

ERIC Educational Resources Information Center

Radišic, Jelena; Videnovic, Marina; Baucal, Aleksander

2015-01-01

PISA 2003 survey data indicate high levels of mathematics anxiety among students in Serbia. More than a half of Serbian students are concerned with whether they will have difficulties in a mathematics class or earn poor marks. At the same time, the achievement on the mathematical literacy scale is very poor. Building on control-value theory, the…

Shortage of Mathematics Teachers in Thai Basic Education Level

ERIC Educational Resources Information Center

Puncreobutr, Vichian; Rattanatumma, Tawachai

2016-01-01

The objective of this study was to identify the reasons for shortage of Mathematics teachers at Thai Basic Education level. This research is both quantitative and qualitative in nature. For the purpose of study, survey was conducted with senior high school students, in order to find out their willingness to pursue mathematics in Bachelor of…

What's Working: Program Factors Influencing California Community College Basic Skills Mathematics Students' Advancement to Transfer Level

ERIC Educational Resources Information Center

Fiero, Diane M.

2013-01-01

Purpose: The purpose of this study was to determine which basic skills program factors were exhibited by successful basic skills programs that helped students advance to transfer-level mathematics. This study specifically examined California community college basic skills programs that assist students who place in mathematics courses 2 levels…

Exploring Informal Mathematical Products of Low Achievers at the Secondary School Level

ERIC Educational Resources Information Center

Karsenty, Ronnie; Arcavi, Abraham; Hadas, Nurit

2007-01-01

This article examines the notion of informal mathematical products, in the specific context of teaching mathematics to low achieving students at the secondary school level. The complex and relative nature of this notion is illustrated and some of its characteristics are suggested. These include the use of ad-hoc strategies, mental calculations,…

The Influence of Mathematics Professional Development, School-Level, and Teacher-Level Variables on Primary Students' Mathematics Achievement

ERIC Educational Resources Information Center

Polly, Drew; Wang, Chuang; Martin, Christie; Lambert, Richard; Pugalee, David; Middleton, Catherina

2018-01-01

This study examined the influence of a professional development project about an internet-based mathematics formative assessment tool and related pedagogies on primary teachers' instruction and student achievement. Teachers participated in 72 h of professional development during the year. Descriptive statistics and multivariate analyses of…

Analysis of Mathematics Teachers' Self-Efficacy Levels Concerning the Teaching Process

ERIC Educational Resources Information Center

Ünsal, Serkan; Korkmaz, Fahrettin; Perçin, Safiye

2016-01-01

The purpose of this study is to identify mathematics teachers' opinions on the teaching process self-efficacy levels; and to examine mathematics teachers' teaching process self-efficacy beliefs with regards to specific variables. The study was conducted in Turkey during the second term of the 2015-2016 academic year. The study sample consisted of…

Students' Extrinsic and Intrinsic Motivation Level and Its Relationship with Their Mathematics Achievement

ERIC Educational Resources Information Center

Acar Güvendir, Meltem

2016-01-01

This study focused on the extrinsic and intrinsic motivation levels of eighth grade students and its relationship with their mathematical achievement. The participants of the study included 6,829 students who took TIMSS in 2011 and 239 mathematics teachers. The data obtained from the student and teacher questionnaires that are included in the…

Pre-Service Class Teacher' Ability in Solving Mathematical Problems and Skills in Solving Daily Problems

ERIC Educational Resources Information Center

Aljaberi, Nahil M.; Gheith, Eman

2016-01-01

This study aims to investigate the ability of pre-service class teacher at University of Petrain solving mathematical problems using Polya's Techniques, their level of problem solving skills in daily-life issues. The study also investigates the correlation between their ability to solve mathematical problems and their level of problem solving…

Reconsidering the Rise in A-Level Mathematics Participation

ERIC Educational Resources Information Center

Noyes, Andrew; Adkins, Michael

2016-01-01

There is growing support for making the study of mathematics to the age of 18 years compulsory for all young people in England. This article aims to inform this debate through new insights into historic A-Level Mathematics participation trends. We analyse full-year cohorts of 16-year-old students from the Department for Education's National Pupil…

Understanding and Supporting Teacher Horizon Knowledge around Limits: A Framework for Evaluating Textbooks for Teachers

ERIC Educational Resources Information Center

Kajander, Ann; Lovric, Miroslav

2017-01-01

As part of recent scrutiny of teacher capacity, the question of teachers' content knowledge of higher level mathematics emerges as important to the field of mathematics education. Elementary teachers in North America and some other countries tend to be subject generalists, yet it appears that some higher level mathematics background may be…

Exploring the Impact of Reform Mathematics on Entry-Level Pre-Service Primary Teachers Attitudes towards Mathematics

ERIC Educational Resources Information Center

Leavy, Aisling; Hourigan, Mairead; Carroll, Claire

2017-01-01

This study reports entry-level mathematics attitudes of pre-service primary teachers entering an initial teacher education (ITE) program one decade apart. Attitudes of 360 pre-service primary teachers were compared to 419 pre-service teachers entering the same college of education almost one decade later. The latter experienced reform school…

Hypotetical learning trajectory to anticipate mathematics anxiety in algebra learning based on the perspective of didactical situation theory

NASA Astrophysics Data System (ADS)

Yuliani, R. E.; Suryadi, D.; Dahlan, J. A.

2018-05-01

The objective of this research is to design an alleged teacher learning path or Hypotetical Learning Trajectory (HLT) to anticipate mathematics anxiety of students in learning algebra. HLT loads expected mathematics learning objectives, estimates the level of knowledge and understanding of the students, as well as the selection of mathematical activity in accordance with the learning competencies. This research uses educational design research method. The research steps consist of a preliminary design, experimental and retrospective analysis. Data were gathered from various sources, such as data is written during the research process of test results, documentation, sheet results of students' work, results of interviews, questionnaires, and video recordings. The subjects of the study were 10 junior high school students. Based on the research identified 2 students at the level of high anxiety, 7 people at medium anxiety level and 1 student at low anxiety level. High anxiety levels about 20%, was approximately 70% and approximately 10% lower. These results can be used as an evaluation and reflection for designing materials that can anticipate mathematics anxiety of students learning algebra concepts.

Development of a Multidisciplinary Middle School Mathematics Infusion Model

ERIC Educational Resources Information Center

Russo, Maria; Hecht, Deborah; Burghardt, M. David; Hacker, Michael; Saxman, Laura

2011-01-01

The National Science Foundation (NSF) funded project "Mathematics, Science, and Technology Partnership" (MSTP) developed a multidisciplinary instructional model for connecting mathematics to science, technology and engineering content areas at the middle school level. Specifically, the model infused mathematics into middle school curriculum…

Academic Well-Being, Mathematics Performance, and Educational Aspirations in Lower Secondary Education: Changes Within a School Year

PubMed Central

Widlund, Anna; Tuominen, Heta; Korhonen, Johan

2018-01-01

It has been suggested that both performance and academic well-being play a role in adolescent students’ educational attainment and school dropout. In this study, we therefore examined, first, what kinds of academic well-being (i.e., school burnout, schoolwork engagement, and mathematics self-concept) and mathematics performance profiles can be identified among lower secondary school students (Ngrade 7 = 583, Ngrade 9 = 497); second, how stable these profiles are across one school year during the seventh and ninth grades; and, third, how students with different academic well-being and mathematics performance profiles differ with respect to their educational aspirations. By means of latent profile analyses, three groups of students in seventh grade: thriving (34%), average (51%), and negative academic well-being (15%) and four groups of students in ninth grade: thriving (25%), average (50%), negative academic well-being (18%), and low-performing (7%) with distinct well-being and mathematics performance profiles were identified. Configural frequency analyses revealed that the profiles were relatively stable across one school year; 60% of the students displayed identical profiles over time. The thriving students reported the highest educational aspirations compared to the other groups. In addition, the low-performing students in the ninth grade had the lowest educational aspirations just before the transition to upper secondary school. Practical implications as well as directions for future research are discussed. PMID:29593603

Academic Well-Being, Mathematics Performance, and Educational Aspirations in Lower Secondary Education: Changes Within a School Year.

PubMed

Widlund, Anna; Tuominen, Heta; Korhonen, Johan

2018-01-01

It has been suggested that both performance and academic well-being play a role in adolescent students' educational attainment and school dropout. In this study, we therefore examined, first, what kinds of academic well-being (i.e., school burnout, schoolwork engagement, and mathematics self-concept) and mathematics performance profiles can be identified among lower secondary school students ( N grade 7 = 583, N grade 9 = 497); second, how stable these profiles are across one school year during the seventh and ninth grades; and, third, how students with different academic well-being and mathematics performance profiles differ with respect to their educational aspirations. By means of latent profile analyses, three groups of students in seventh grade: thriving (34%), average (51%), and negative academic well-being (15%) and four groups of students in ninth grade: thriving (25%), average (50%), negative academic well-being (18%), and low-performing (7%) with distinct well-being and mathematics performance profiles were identified. Configural frequency analyses revealed that the profiles were relatively stable across one school year; 60% of the students displayed identical profiles over time. The thriving students reported the highest educational aspirations compared to the other groups. In addition, the low-performing students in the ninth grade had the lowest educational aspirations just before the transition to upper secondary school. Practical implications as well as directions for future research are discussed.

Time-Ordered Networks Reveal Limitations to Information Flow in Ant Colonies

PubMed Central

Blonder, Benjamin; Dornhaus, Anna

2011-01-01

Background An important function of many complex networks is to inhibit or promote the transmission of disease, resources, or information between individuals. However, little is known about how the temporal dynamics of individual-level interactions affect these networks and constrain their function. Ant colonies are a model comparative system for understanding general principles linking individual-level interactions to network-level functions because interactions among individuals enable integration of multiple sources of information to collectively make decisions, and allocate tasks and resources. Methodology/Findings Here we show how the temporal and spatial dynamics of such individual interactions provide upper bounds to rates of colony-level information flow in the ant Temnothorax rugatulus. We develop a general framework for analyzing dynamic networks and a mathematical model that predicts how information flow scales with individual mobility and group size. Conclusions/Significance Using thousands of time-stamped interactions between uniquely marked ants in four colonies of a range of sizes, we demonstrate that observed maximum rates of information flow are always slower than predicted, and are constrained by regulation of individual mobility and contact rate. By accounting for the ordering and timing of interactions, we can resolve important difficulties with network sampling frequency and duration, enabling a broader understanding of interaction network functioning across systems and scales. PMID:21625450

South Carolina Guide for Mathematics for the Technologies (Applied Vocational Mathematics).

ERIC Educational Resources Information Center

Moore, Charles; And Others

In this instructional guide, a third-level, two-semester mathematics course specifically for the student who plans a career in a vocational field is presented. The course is designed to meet the needs of students with varying mathematical backgrounds and to teach the mathematical skills required by various technical areas. In this practical…

A Comparison of the Mathematical Performance of Mature Students and Traditional Students over a 10-Year Period

ERIC Educational Resources Information Center

Faulkner, Fiona; Fitzmaurice, Olivia; Hannigan, Ailish

2016-01-01

Every student who enrols in a degree programme involving service mathematics in the University of Limerick in Ireland is given a mathematics diagnostic test. The diagnostic test was developed due to mathematics lecturers' anxiety regarding students' mathematical competency levels. Students receive the 40 question paper-based test in their first…

How Does Self-Regulation Impact Student's Use of Mathematical Strategies in a Remedial Mathematics Course

ERIC Educational Resources Information Center

Heron, Michele Lynn

2011-01-01

In order to improve teaching strategies in a college level remedial mathematics course, this study seeks to investigate student perception while they attempt challenging mathematics tasks. The participants were 72 students enrolled in a mid-western university remedial mathematics course. A qualitative case study methodology was used to investigate…

Toward an Analysis of Video Games for Mathematics Education

ERIC Educational Resources Information Center

Offenholley, Kathleen

2011-01-01

Video games have tremendous potential in mathematics education, yet there is a push to simply add mathematics to a video game without regard to whether the game structure suits the mathematics, and without regard to the level of mathematical thought being learned in the game. Are students practicing facts, or are they problem-solving? This paper…

Girls and Mathematics--A "Hopeless" Issue? A Control-Value Approach to Gender Differences in Emotions towards Mathematics

ERIC Educational Resources Information Center

Frenzel, Anne C.; Pekrun, Reinhard; Goetz, Thomas

2007-01-01

This study analyzed gender differences in achievement emotions in the domain of mathematics. Based on Pekrun's (2000, 2006) control-value theory of achievement emotions, we hypothesized that there are gender differences in mathematics emotions due to the students' different levels of control and value beliefs in mathematics, even when controlling…

A Case Study on Pre-Service Secondary School Mathematics Teachers' Cognitive-Metacognitive Behaviours in Mathematical Modelling Process

ERIC Educational Resources Information Center

Sagirli, Meryem Özturan

2016-01-01

The aim of the present study is to investigate pre-service secondary mathematics teachers' cognitive-metacognitive behaviours during the mathematical problem-solving process considering class level. The study, in which the case study methodology was employed, was carried out with eight pre-service mathematics teachers, enrolled at a university in…

Mathematical Modeling in Science: Using Spreadsheets to Create Mathematical Models and Address Scientific Inquiry

ERIC Educational Resources Information Center

Horton, Robert M.; Leonard, William H.

2005-01-01

In science, inquiry is used as students explore important and interesting questions concerning the world around them. In mathematics, one contemporary inquiry approach is to create models that describe real phenomena. Creating mathematical models using spreadsheets can help students learn at deep levels in both science and mathematics, and give…

An Analysis of Mathematics Interventions: Increased Time-on-Task Compared with Computer-Assisted Mathematics Instruction

ERIC Educational Resources Information Center

Calhoun, James M., Jr.

2011-01-01

Student achievement is not progressing on mathematics as measured by state, national, and international assessments. Much of the research points to mathematics curriculum and instruction as the root cause of student failure to achieve at levels comparable to other nations. Since mathematics is regarded as a gate keeper to many educational…

Quality of Teaching Mathematics and Learning Achievement Gains: Evidence from Primary Schools in Kenya

ERIC Educational Resources Information Center

Ngware, Moses W.; Ciera, James; Musyoka, Peter K.; Oketch, Moses

2015-01-01

This paper examines the contribution of quality mathematics teaching to student achievement gains. Quality of mathematics teaching is assessed through teacher demonstration of the five strands of mathematical proficiency, the level of cognitive task demands, and teacher mathematical knowledge. Data is based on 1907 grade 6 students who sat for the…

Influence of Student Beliefs about Nature of School Mathematics on Their Achievement at Secondary Level in Kerala

ERIC Educational Resources Information Center

Gafoor, Kunnathodi Abdul; Sarabi, M. K.

2016-01-01

This study probes students' beliefs about nature of mathematics, difficulty in learning mathematics sourcing from these and their influence on achievement in mathematics. Questionnaire survey on 458, 9th standard students randomly selected from schools of Malappuram district elicited data on nature of school mathematics and difficulty arising out…

Relationships of Mathematics Anxiety, Mathematics Self-Efficacy and Mathematics Performance of Adult Basic Education Students

ERIC Educational Resources Information Center

Watts, Beverly Kinsey

2011-01-01

Competent mathematical skills are needed in the workplace as well as in the college setting. Adults in Adult Basic Education classes and programs generally perform below high school level competency, but very few studies have been performed investigating the predictors of mathematical success for adults. The current study contributes to the…

The Employment Equation: Why Our Young People Need More Maths for Today's Jobs

ERIC Educational Resources Information Center

Hodgen, Jeremy; Marks, Rachel

2013-01-01

This report reviews over 50 research studies to consider the level and type of mathematical skills needed by employers in today's economy. It considers five key questions: (1) What mathematics (level and content) is required in the workplace today?; (2) How and why have the mathematical needs of the workplace changed over time?; (3) In what ways…

Level of Students' Achievement in Mathematics at the End of Elementary Education in Yemen

ERIC Educational Resources Information Center

Khair, Tarig Mohamed Ali Mohamed; Khairani, Ahmad Zamri; Elrofai, Tahra Aisa

2012-01-01

The main purpose of this study was to investigate the level of student's achievement in mathematics in Yemen. This study use a sample of 200 male students and 200 female students, chosen from eight government schools on the basis of diversified sampling techniques. A mathematics test which composed of seventy five items that covered geometrical…

Guida Didattica per l'Insegnamento della Matematica. Livelli G, H = Mathematics Curriculum Guide for Italian-Speaking Students, Levels G and H. Working Draft.

ERIC Educational Resources Information Center

Chicago Board of Education, IL. Dept. of Curriculum.

The curriculum guide is for levels G and H of the mathematics segment of Chicago's bilingual education program for limited-English-speaking native Italian-speaking students. It includes specific instructional objectives and worksheets for teaching the mathematical concepts of place value, whole numbers, rational numbers, measurement, geometry, and…

A Blurred Signal? The Usefulness of National Senior Certificate (NSC) Mathematics Marks as Predictors of Academic Performance at University Level

ERIC Educational Resources Information Center

Schoer, Volker; Ntuli, Miracle; Rankin, Neil; Sebastiao, Claire; Hunt, Karen

2010-01-01

Internationally, performance in school Mathematics has been found to be a reliable predictor of performance in commerce courses at university level. Based on the predictive power of school-leaving marks, universities use results from school-leaving Mathematics examinations to rank student applicants according to their predicted abilities. However,…

Factors Affecting Mathematics Achievement of First-Year Secondary School Students in Central Uganda

ERIC Educational Resources Information Center

Kiwanuka, Henry Nsubuga; Van Damme, Jan; Van Den Noortgate, Wim; Anumendem, Dickson Nkafu; Namusisi, Speranza

2015-01-01

This study explores the sources of variability in Mathematics achievement of Ugandan students at the student, classroom and school level. The Mathematics score and questionnaire responses of 4,819 first-year secondary school students (Grade Seven, about 14-15 years old) from 78 classrooms of 49 schools were analysed. A three-level linear model was…

Mathematics reflecting sensorimotor organization.

PubMed

McCollum, Gin

2003-02-01

This review combines short presentations of several mathematical approaches that conceptualize issues in sensorimotor neuroscience from different perspectives and levels of analysis. The intricate organization of neural structures and sensorimotor performance calls for characterization using a variety of mathematical approaches. This review points out the prospects for mathematical neuroscience: in addition to computational approaches, there is a wide variety of mathematical approaches that provide insight into the organization of neural systems. By starting from the perspective that provides the greatest clarity, a mathematical approach avoids specificity that is inaccurate in characterizing the inherent biological organization. Approaches presented include the mathematics of ordered structures, motion-phase space, subject-coincident coordinates, equivalence classes, topological biodynamics, rhythm space metric, and conditional dynamics. Issues considered in this paper include unification of levels of analysis, response equivalence, convergence, relationship of physics to motor control, support of rhythms, state transitions, and focussing on low-dimensional subspaces of a high-dimensional sensorimotor space.

An Introductory Research Experience in Mathematics for Undergraduates

ERIC Educational Resources Information Center

Johnston, William W.; Webster, Jonathan E.; Wilson, Christopher James

2017-01-01

This paper offers a strategic initiative designed to boost the level of collaborative mathematical research involving undergraduate mathematics students at Butler University. It describes goals, program design, logistics, and outcomes for an 8-day intensive summer experience in which undergraduate mathematics majors engaged in original…

The image of mathematics held by Irish post-primary students

NASA Astrophysics Data System (ADS)

Lane, Ciara; Stynes, Martin; O'Donoghue, John

2014-08-01

The image of mathematics held by Irish post-primary students was examined and a model for the image found was constructed. Initially, a definition for 'image of mathematics' was adopted with image of mathematics hypothesized as comprising attitudes, beliefs, self-concept, motivation, emotions and past experiences of mathematics. Research focused on students studying ordinary level mathematics for the Irish Leaving Certificate examination - the final examination for students in second-level or post-primary education. Students were aged between 15 and 18 years. A questionnaire was constructed with both quantitative and qualitative aspects. The questionnaire survey was completed by 356 post-primary students. Responses were analysed quantitatively using Statistical Package for the Social Sciences (SPSS) and qualitatively using the constant comparative method of analysis and by reviewing individual responses. Findings provide an insight into Irish post-primary students' images of mathematics and offer a means for constructing a theoretical model of image of mathematics which could be beneficial for future research.

Mathematical model comparing of the multi-level economics systems

NASA Astrophysics Data System (ADS)

Brykalov, S. M.; Kryanev, A. V.

2017-12-01

The mathematical model (scheme) of a multi-level comparison of the economic system, characterized by the system of indices, is worked out. In the mathematical model of the multi-level comparison of the economic systems, the indicators of peer review and forecasting of the economic system under consideration can be used. The model can take into account the uncertainty in the estimated values of the parameters or expert estimations. The model uses the multi-criteria approach based on the Pareto solutions.

The nonlinear relations of the approximate number system and mathematical language to early mathematics development.

PubMed

Purpura, David J; Logan, Jessica A R

2015-12-01

Both mathematical language and the approximate number system (ANS) have been identified as strong predictors of early mathematics performance. Yet, these relations may be different depending on a child's developmental level. The purpose of this study was to evaluate the relations between these domains across different levels of ability. Participants included 114 children who were assessed in the fall and spring of preschool on a battery of academic and cognitive tasks. Children were 3.12 to 5.26 years old (M = 4.18, SD = .58) and 53.6% were girls. Both mixed-effect and quantile regressions were conducted. The mixed-effect regressions indicated that mathematical language, but not the ANS, nor other cognitive domains, predicted mathematics performance. However, the quantile regression analyses revealed a more nuanced relation among domains. Specifically, it was found that mathematical language and the ANS predicted mathematical performance at different points on the ability continuum. These dual nonlinear relations indicate that different mechanisms may enhance mathematical acquisition dependent on children's developmental abilities. (c) 2015 APA, all rights reserved).

Flipping the Electromagnetic Theory classroom

NASA Astrophysics Data System (ADS)

Berger, Andrew J.

2017-08-01

Electromagnetic Theory is a required junior-year course for Optics majors at the University of Rochester. This foundational course gives students their first rigorous exposure to electromagnetic vector fields, dipole radiation patterns, Fresnel reflection/transmission coefficients, waveguided modes, Jones vectors, waveplates, birefringence, and the Lorentz model of refractive index. To increase the percentage of class time devoted to student-centered conceptual reasoning and instructor feedback, this course was recently "flipped". Nearly all of the mathematically-intensive derivations were converted to narrated screencasts ("Khan Academy" style) and made available to students through the course's learning management system. On average, the students were assigned two 10-15 minute videos to watch in advance of each lecture. An electronic survey after each tutorial encouraged reflection and counted towards the student's participation grade. Over the past three years, students have consistently rated the videos as being highly valuable. This presentation will discuss the technical aspects of creating tutorial videos and the educational tradeoffs of flipping a mathematically-intensive upper-level course. The most important advantage is the instructor's increased ability to identify and respond to student confusion, via activities that would consume too much time in a lecture-centered course. Several examples of such activities will be given. Two pitfalls to avoid are the temptation for the instructor not to update the videos from year to year and the tendency of students not to take lecture notes while watching the videos.

CSMP Mathematics for the Upper Primary Grades Part I, Teacher's Guide. The Languages of Strings and Arrows. Geometry and Measurement. Workbooks. Final Experimental Version.

ERIC Educational Resources Information Center

CEMREL, Inc., St. Ann, MO.

This guide represents the final experimental version of a pilot project conducted in the Unites States between 1973 and 1976. The ideas and manner of presentation are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

CSMP Mathematics for the Upper Primary Grades Part II, Teacher's Guide. The Languages of Strings and Arrows. Geometry and Measurement. Workbooks. Final Experimental Version.

ERIC Educational Resources Information Center

CEMREL, Inc., St. Ann, MO.

This guide represents the final experimental version of an extended pilot project which was conducted in the United States between 1973 and 1976. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings…

Mathematics in Physics Education: Scanning Historical Evolution of the Differential to Find a More Appropriate Model for Teaching Differential Calculus in Physics

ERIC Educational Resources Information Center

Martinez-Torregrosa, Joaquin; Lopez-Gay, Rafael; Gras-Marti, Albert

2006-01-01

Despite its frequent use, there is little understanding of the concept of differential among upper high school and undergraduate students of physics. As a first step to identify the origin of this situation and to revert it, we have done a historic and epistemological study aimed at clarifying the role and the meaning of the differential in…

Mathematical modelling as a tool to assessment of loads in volleyball player's shoulder joint during spike.

PubMed

Jurkojć, Jacek; Michnik, Robert; Czapla, Krzysztof

2017-06-01

This article deals with kinematic and kinetic conditions in volleyball attack and identifies loads in the shoulder joint. Joint angles and velocities of individual segments of upper limb were measured with the use of the motion capture system XSENS. Muscle forces and loads in skeletal system were calculated by means of mathematical model elaborated in AnyBody system. Spikes performed by players in the best and worst way were compared with each other. The relationships were found between reactions in shoulder joint and flexion/extension, abduction/adduction and rotation angles in the same joint and flexion/extension in the elbow joint. Reactions in shoulder joint varied from 591 N to 2001 N (in relation to body weight [BW] 83-328%). The analysis proved that hand velocity at the moment of the ball hit (which varied between 6.8 and 13.3 m s -1 ) influences on the value of reaction in joints, but positions of individual segments relative to each other are also crucial. It was also proved in objective way, that position of the upper limb during spike can be more or less harmful assuming that bigger reaction increases possibility of injury, what can be an indication for trainers and physiotherapists how to improve injury prevention.

Mathematical modeling of chemical composition modification and etching of polymers under the atomic oxygen influence

NASA Astrophysics Data System (ADS)

Chirskaia, Natalia; Novikov, Lev; Voronina, Ekaterina

2016-07-01

Atomic oxygen (AO) of the upper atmosphere is one of the most important space factors that can cause degradation of spacecraft surface. In our previous mathematical model the Monte Carlo method and the "large particles" approximation were used for simulating processes of polymer etching under the influence of AO [1]. The interaction of enlarged AO particles with the polymer was described in terms of probabilities of reactions such as etching of polymer and specular and diffuse scattering of the AO particles on polymer. The effects of atomic oxygen on protected polymers and microfiller containing composites were simulated. The simulation results were in quite good agreement with the results of laboratory experiments on magnetoplasmadynamic accelerator of the oxygen plasma of SINP MSU [2]. In this paper we present a new model that describes the reactions of AO interactions with polymeric materials in more detail. Reactions of formation and further emission of chemical compounds such as CO, CO _{2}, H _{2}O, etc. cause the modification of the chemical composition of the polymer and change the probabilities of its consequent interaction with the AO. The simulation results are compared with the results of previous simulation and with the results of laboratory experiments. The reasons for the differences between the results of natural experiments on spacecraft, laboratory experiments and simulations are discussed. N. Chirskaya, M. Samokhina, Computer modeling of polymer structures degradation under the atomic oxygen exposure, WDS'12 Proceedings of Contributed Papers: Part III - Physics, Matfyzpress Prague, 2012, pp. 30-35. E. Voronina, L. Novikov, V. Chernik, N. Chirskaya, K. Vernigorov, G. Bondarenko, and A. Gaidar, Mathematical and experimental simulation of impact of atomic oxygen of the earth's upper atmosphere on nanostructures and polymer composites, Inorganic Materials: Applied Research, 2012, vol. 3, no. 2, pp. 95-101.

Preservice Teachers' Perceptions of the Integration of Mathematics, Reading, and Writing.

ERIC Educational Resources Information Center

Reinke, Kathryn; Mokhtari, Kouider; Willner, Elizabeth

1997-01-01

Examined the perceptions of preservice elementary teachers enrolled in reading, mathematics, and integrating reading and mathematics methods courses about integrating mathematics, reading, and writing instruction at the elementary/middle school level. Surveys indicated that all students were generally positive about instructional integration. They…

Interdependence Revisited: Mathematics Achievement in an Intensified French Immersion Program.

ERIC Educational Resources Information Center

Bournot-Trites, Monique; Reeder, Kenneth

2001-01-01

Examines the effect of teaching mathematics in French on mathematics achievement evaluated in English. Analyzes the effect of increased intensity of bilingual education on mathematics achievement and the effects of language of testing in the context of French immersion at the intermediate level. (Author/VWL)

Public Views on the Gendering of Mathematics and Related Careers: International Comparisons

ERIC Educational Resources Information Center

Forgasz, Helen; Leder, Gilah; Tan, Hazel

2014-01-01

Mathematics continues to be an enabling discipline for Science, Technology, Engineering, and Mathematics (STEM)-based university studies and related careers. Explanatory models for females' underrepresentation in higher level mathematics and STEM-based courses comprise learner-related and environmental variables--including societal beliefs. Using…

Bingo! Select Games for Mathematical Thinking

ERIC Educational Resources Information Center

Jackson, Christa; Taylor, Cynthia; Buchheister, Kelley

2013-01-01

Games can both generate excitement among students and motivate them to participate in mathematics. Although games have been used primarily to "review" mathematical concepts at the middle school level, games should, and often do, have other instructional purposes. When teachers use mathematical games as an instructional strategy, they are…

Teachers' Experiences with Middle-Level Mathematics Coaches

ERIC Educational Resources Information Center

Frost, Bernard Emmanuel

2013-01-01

Many school districts have provided support to middle school mathematics teachers who face challenges involving delivery of instruction by hiring instructional mathematics coaches. The purpose of this qualitative case study was to explore the experiences between classroom mathematics middle school teachers and their instructional coach, and to…

Modern Versus Traditional Mathematics

ERIC Educational Resources Information Center

Roberts, A. M.

1974-01-01

The effect of different secondary school mathematics syllabi on first-year performance in college-level mathematics was studied in an attempt to evaluate the syllabus change. Students with a modern mathematics background performed sigficantly better on most first-year units. A topic-by-topic analysis of results is included. (DT)

Do Prospective Teachers Have Anxieties about Teaching Mathematics?

ERIC Educational Resources Information Center

Yavuz, Günes

2018-01-01

The purpose of this study is to analyse the level of prospective classroom and mathematics teachers' anxieties about teaching mathematics. Freshman and junior prospective teachers from educational faculties of two different universities participated in this study. "Anxieties About Teaching Mathematics Scale" which was developed by Peker…

A Survey Transition Course

ERIC Educational Resources Information Center

Johnston, William; McAllister, Alex M.

2012-01-01

Successful outcomes for a "Transition Course in Mathematics" have resulted from two unique design features. The first is to run the course as a "survey course" in mathematics, introducing sophomore-level students to a broad set of mathematical fields. In this single mathematics course, undergraduates benefit from an introduction of proof…

The Functional Use of a Mathematical Sign

ERIC Educational Resources Information Center

Berger, Margot

2004-01-01

The question of how a mathematics student at university-level makes sense of a new mathematical sign, presented to her or him in the form of a definition, is a fundamental problem in mathematics education. Using an analogy with Vygotsky's theory (1986, 1994) of how a child learns a new word, I argue that a learner uses a new mathematical sign both…

Examining the Links between Grade 12 Mathematics and Remedial Courses in Nevada Public Colleges and Universities. Issues & Answers. REL 2008-No. 058

ERIC Educational Resources Information Center

Fong, Anthony B.; Huang, Min; Goel, Aditi M.

2008-01-01

This study examines the links between Nevada's grade 12 mathematics courses and remedial mathematics courses in Nevada's public colleges and universities. It analyzes remediation rates by students' highest grade 12 mathematics course level and mathematics grade point average and by various student and school characteristics. The study was guided…

Preparation of Students Completing a Core-Plus or Commercially Developed High School Mathematics Curriculum for Intense College Mathematics Coursework

ERIC Educational Resources Information Center

Harwell, Michael R.; Medhanie, Amanuel; Post, Thomas R.; Norman, Ke; Dupuis, Danielle N.

2012-01-01

The purpose of this study was to examine the college mathematics achievement and course-taking of students at a large public research university who completed a commercially developed or standards-based (Core-Plus) high school mathematics curriculum, and who subsequently completed at least 2 college mathematics courses of difficulty level at or…

The enhancement of students’ mathematical representation in junior high school using cognitive apprenticeship instruction (CAI)

NASA Astrophysics Data System (ADS)

Yusepa, B. G. P.; Kusumah, Y. S.; Kartasasmita, B. G.

2018-03-01

This study aims to get an in-depth understanding of the enhancement of students’ mathematical representation. This study is experimental research with pretest-posttest control group design. The subject of this study is the students’ of the eighth grade from junior high schools in Bandung: high-level and middle-level. In each school, two parallel groups were chosen as a control group and an experimental group. The experimental group was given cognitive apprenticeship instruction (CAI) treatment while the control group was given conventional learning. The results show that the enhancement of students’ mathematical representation who obtained CAI treatment was better than the conventional one, viewed which can be observed from the overall, mathematical prior knowledge (MPK), and school level. It can be concluded that CAI can be used as a good alternative learning model to enhance students’ mathematical representation.

The Challenge of Learning Physics Before Mathematics: A Case Study of Curriculum Change in Taiwan

NASA Astrophysics Data System (ADS)

Chiu, Mei-Shiu

2016-12-01

The aim of this study was to identify challenges in implementing a physics-before- 10 mathematics curriculum. Obviously, students need to learn necessary mathematics skills in order to develop advanced physics knowledge. In the 2010 high school curriculum in Taiwan, however, grade 11 science students study two-dimensional motion in physics without prior learning experiences of trigonometry in mathematics. The perspectives of three curriculum developers, 22 mathematics and physics teachers, two principals, and 45 science students were obtained by interview. The results of qualitative data analysis revealed six challenges and suggested likely solutions. The national level includes political and social challenges, resolved by respecting teachers as professionals; the teacher level includes knowledge and teaching challenges, resolved by increasing teacher trans-literal capacities; and the student level includes learning and justice challenges, resolved by focusing on students' diverse developments in cross-domain learning.

Sex Differences in Mathematics: An Investigation of Sex Differentiated Attitudes Toward Mathematics and Sex-Differentiated Achievement in Mathematics on the Ninth Grade Level in Eight Schools in New Jersey.

ERIC Educational Resources Information Center

Merkel-Keller, Claudia

This study was undertaken: (1) to determine achievement in mathematics of ninth graders (general mathematics students and algebra students) in eight public schools in New Jersey as measured by an achievement test developed and tested by the author; (2) to determine attitudes toward mathematics of the students as measured by an attitude scale…

Exploration of Mathematics Problem Solving Process Based on the Thinking Level of Students in Junior High School

ERIC Educational Resources Information Center

Rahman, Abdul; Ahmar, Ansari Saleh

2016-01-01

Several studies suggest that most students are not in the same level of development (Slavin, 2008). From concrete operation level to formal operation level, students experience lateness in the transition phase. Consequently, students feel difficulty in solving mathematics problems. Method research is a qualitatively descriptive-explorative…

Longitudinal associations between reading and mathematics achievement.

PubMed

Grimm, Kevin J

2008-01-01

The association between early reading skills and changes in mathematics was examined in a large, low-income sample to determine whether students who have a greater level of reading skills in early elementary school exhibit more rapid gains in tests of mathematics. The longitudinal associations between third grade reading comprehension and changes in three components of mathematics achievement (Problem Solving and Data Interpretation, Mathematical Concepts and Estimation, Mathematical Computation) from third through eighth grade were examined. Latent growth models were fit to the repeated assessments of each mathematics component and the students' third grade reading and global mathematics scores were included as predictors of the intercept and slope. Gender, poverty status, and ethnicity were included in the models as control variables. The results showed males and African-American students tended to have shallower rates of change than females and non-African-American/non-Hispanic students. In terms of the effect of reading on changes in mathematics, third grade reading comprehension was found to be a positive significant predictor of change for each component of mathematics, suggesting students with a greater level of reading achievement in early elementary school change more rapidly in mathematics skills controlling for prior mathematics skills and student characteristics. The largest effects were shown for the Problem Solving and Data Interpretation test, a test focused on the applications of mathematics knowledge, and the Mathematical Concepts and Estimation test. Negligible effects were found for changes in Mathematical Computation. Thus, early reading comprehension was shown to be related to a conceptual understanding of mathematics and the application of mathematics knowledge. These findings lend support for the notion that early reading skills are important for success in mathematics.

The Effects of Emphasizing Mathematical Structural Properties in Teaching and of Reflective Intelligence on Four Selected Criteria. Technical Report 275.

ERIC Educational Resources Information Center

Jurdak, Murad Eid

The purposes of this study were: (1) to compare the effectiveness of two teaching methods having two distinct levels of emphasis on mathematical structure in organizing and presenting the same mathematical content, and (2) to identify the effect of the cognitive ability of reflective intelligence on four cognitive levels of learning a second-order…

Foundations for Success in the Teaching of O-Level Mathematics in Rural Day Secondary Schools in Masvingo District

ERIC Educational Resources Information Center

Mupa, Paul

2015-01-01

The growing failure rate in Mathematics at O-level is cause for concern and warrants an in-depth investigation. This study focused on factors that make the foundation of success in the teaching and learning of Mathematics. The study was qualitative and employed a case study design. Semi-structured interviews were used as data generation tool. The…

Examination of the Mathematical Problem-Solving Beliefs and Success Levels of Primary School Teacher Candidates through the Variables of Mathematical Success and Gender

ERIC Educational Resources Information Center

Bal, Ayten Pinar

2015-01-01

The aim of this study is to examine the mathematical problem-solving beliefs and problem-solving success levels of primary school teacher candidates through the variables of academic success and gender. The research was designed according to the mixed methods technique in which qualitative and quantitative methods are used together. The working…

Entry to medical schools with 'A' level in mathematics rather than biology.

PubMed

Spurgin, C B

1975-09-01

The majority of British medical schools now accept for their shortest courses students who have mathematics at A level in place of the former requirement of biology A level. Only a small fraction of the entry, less than one-fifth, enters this way, in spite of statements by most medical schools that they make no distinction between those with mathematics and those with biology when making conditional offers of places. There is no evidence that those without biology are at a disadvantage in the courses. If the prospects of entry without A level biology were better publicized medical schools would have a wider field of possibly abler entrants, and pupils entering sixth forms could defer for a year a choice between a medical (or dental) career and one involving physical science, engineering, or other mathematics-based university education.

The Effectiveness of Technology Integration in a Metropolitan Elementary Mathematics Program: Mad Dog Math

ERIC Educational Resources Information Center

Cohen, Miriam

2012-01-01

The outcome of American students' performances during international comparisons consistently scoring inadequately in mathematics exposes the crisis of deficient mathematics achievement thus causing deep concerns. Learners who acquire a strong theoretical foundation in mathematics at the primary level thrived later in more advanced level…

Developing Mathematical Reasoning in Grades K-12. 1999 Yearbook.

ERIC Educational Resources Information Center

Stiff, Lee V., Ed.; Curcio, Frances R., Ed.

This yearbook sharpens the views of mathematical reasoning and its development at all grade levels. Various perspectives about the nature of reasoning and addresses the many issues and concerns involving mathematical reasoning such as how learners reason in mathematics, how communication promotes reasoning, how teachers gather evidence of student…

Do High Ability Students Have Mathematics Anxiety?

ERIC Educational Resources Information Center

Yeo, Kai Kow Joseph

2004-01-01

This exploratory study investigates the level of mathematics anxiety among 116 high ability Secondary Two students. These students were from the top 10% of the Secondary Two students in Singapore. Mathematics Anxiety was measured using the Fennema-Sherman Mathematics Anxiety Scale (MAS) (Fennema & Sherman, 1978) which consisted of twelve items…

Mathematical Sense-Making in Quantum Mechanics: An Initial Peek

ERIC Educational Resources Information Center

Dreyfus, Benjamin W.; Elby, Andrew; Gupta, Ayush; Sohr, Erin Ronayne

2017-01-01

Mathematical sense-making--looking for coherence between the structure of the mathematical formalism and causal or functional relations in the world--is a core component of physics expertise. Some physics education research studies have explored what mathematical sense-making looks like at the introductory physics level, while some historians and…

Financial Literacy: Mathematics and Money Improving Student Engagement

ERIC Educational Resources Information Center

Attard, Catherine

2018-01-01

The low levels of student engagement with mathematics has been of significant concern in Australia for some time (Attard, 2013). This is a particularly important issue in mathematics education given the current attention to science, technology, engineering and mathematics (STEM) education to ensure "the continued prosperity of Australia on…

Computer Activities for College Algebra and Precalculus.

ERIC Educational Resources Information Center

White, Jacci Wozniak; Norwich, Vicki Howard

Mathematics software can be a great aid in understanding difficult mathematics concepts at all levels. This paper presents nine exercises on calculus concepts by using different software used in mathematics education. Each exercise includes instruction on how to use software in order to highlight a specific concept in mathematics. This paper also…

Pre-Service Teachers' Free and Structured Mathematical Problem Posing

ERIC Educational Resources Information Center

Silber, Steven; Cai, Jinfa

2017-01-01

This exploratory study examined how pre-service teachers (PSTs) pose mathematical problems for free and structured mathematical problem-posing conditions. It was hypothesized that PSTs would pose more complex mathematical problems under structured posing conditions, with increasing levels of complexity, than PSTs would pose under free posing…

Pose and Solve Varignon Converse Problems

ERIC Educational Resources Information Center

Contreras, José N.

2014-01-01

The activity of posing and solving problems can enrich learners' mathematical experiences because it fosters a spirit of inquisitiveness, cultivates their mathematical curiosity, and deepens their views of what it means to do mathematics. To achieve these goals, a mathematical problem needs to be at the appropriate level of difficulty,…

Mathematical Literacy--It's Become Fundamental

ERIC Educational Resources Information Center

McCrone, Sharon Soucy; Dossey, John A.

2007-01-01

The rising tide of numbers and statistics in daily life signals a need for a fundamental broadening of the concept of literacy: mathematical literacy assuming a coequal role in the curriculum alongside language-based literacy. Mathematical literacy is not about studying higher levels of formal mathematics, but about making math relevant and…

Discrete Mathematics across the Curriculum, K-12. 1991 Yearbook.

ERIC Educational Resources Information Center

Kenney, Margaret J., Ed.; Hirsch, Christian R., Ed.

This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…

Business Math at the College Level: Pretesting for Course Sectioning.

ERIC Educational Resources Information Center

Swartz, Rose Ann; Swartz, Fred

1981-01-01

An investigation into the effectiveness of pretesting using a departmental business mathematics test and the ACT mathematics test was conducted at Ferris State College. Both students and faculty seemed to benefit from the decision to use the ACT mathematics score in sectioning the business mathematics course. (CT)

Strategies for Teaching Developmental Mathematics Students at the College Level

ERIC Educational Resources Information Center

Swaincott Kautz, Natalie Lynn

2016-01-01

The purpose of this investigation was to identify strategies used by effective instructors of developmental mathematics, and to discover the perceptions developmental mathematics students have about these strategies. While there are research projects focusing solely on developmental mathematics achievement, this study fills a need by incorporating…

Bilingual Mathematics and Science Achievement, 1988-89. Evaluation Section Report.

ERIC Educational Resources Information Center

Berney, Tomi D.; Barrera, Marbella

This report documents the evaluation of the Bilingual Mathematics and Science Achievement Program (Project BMSA) for students of limited English proficiency. The bilingual program was designed to provide intensive mathematics and science instruction, using mastery level concepts, in the native language and to incorporate mathematics and science…

The Role of Prediction in the Teaching and Learning of Mathematics

ERIC Educational Resources Information Center

Lim, Kien H.; Buendia, Gabriela; Kim, Ok-Kyeong; Cordero, Francisco; Kasmer, Lisa

2010-01-01

The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students' prediction can reveal their conceptions, (2) prediction…

Confidence in Teaching Mathematics among Malaysian Pre-Service Teachers

ERIC Educational Resources Information Center

Yunus, Aida Suraya Md.; Hamzah, Ramlah; Ismail, Habsah; Husain, Sharifah Kartini Said; Ismail, Mat Rofa

2006-01-01

This study focuses on the confidence level of mathematics education students in teaching school mathematics. Respondents were 165 final year students from four Malaysian universities. It was found that the respondents showed a strong foundation in mathematics upon entrance to the university. In spite of their strong background in school…

Trend Analysis on Mathematics Achievements: A Comparative Study Using TIMSS Data

ERIC Educational Resources Information Center

Ker, H. W.

2013-01-01

Research addressed the importance of mathematics education for the students' preparation to enter scientific and technological workforce. This paper utilized Trends in International Mathematics and Science Study (TIMSS) 2011 data to conduct a global comparative analysis on mathematics performance at varied International Benchmark levels. The…

Self-Regulation of Mathematics Homework Behavior: An Empirical Investigation

ERIC Educational Resources Information Center

Xu, Jianzhong; Du, Jianxia; Fan, Xitao

2017-01-01

The authors examined self-regulation of mathematics homework behavior (i.e., mathematics homework management). The participants consisted of 796 eighth-grade students (46 classes) in China. Multilevel results showed that mathematics homework management was positively associated with value belief at the class and individual level. At the individual…

Examining the Impact of Writing and Literacy Connections on Mathematics Learning

ERIC Educational Resources Information Center

Martin, Christie; Polly, Drew

2016-01-01

In this study, we examine how literacy connections with multiple step mathematics problems affected mathematics learning for 4th grade students. Three fourth grade teachers incorporated writing activities in their mathematics classroom for two weeks. The level of teacher scaffolding decreased as students progressed through the problems. The…

Perceptions and Lived Experiences of Traditional Community College Developmental Mathematics Students

ERIC Educational Resources Information Center

Mathai, Mince John

2014-01-01

Many students graduate from high school without adequate proficiency in mathematics, which is necessary to successfully undertake the challenges of college-level mathematics courses. As the underprepared students pursue postsecondary education, these institutions are required to provide remediation in mathematics to equip them with basic…

Mathematics University Teachers' Perception of Pedagogical Content Knowledge (PCK)

ERIC Educational Resources Information Center

Khakbaz, Azimehsadat

2016-01-01

Teaching mathematics in university levels is one of the most important fields of research in the area of mathematics education. Nevertheless, there is little information about teaching knowledge of mathematics university teachers. Pedagogical content knowledge (PCK) provides a suitable framework to study knowledge of teachers. The purpose of this…

Coming to Know and Do Mathematics with Disengaged Students

ERIC Educational Resources Information Center

Marshman, Margaret; Brown, Raymond

2014-01-01

This case study explored how students disaffected with their school experience were scaffolded during their participation in a middle-school mathematics classroom. Of particular interest were the level of student engagement in discussion about the mathematics being presented by the teacher and the approach to doing mathematics being displayed by…

NCTM Principles and Standards for Mathematically Talented Students

ERIC Educational Resources Information Center

Deal, Linda J.; Wismer, Michael G.

2010-01-01

The "Principles and Standards for School Mathematics" published in 2000 by the National Council of Teachers of Mathematics (NCTM) created a vision of mathematical concepts and processes to establish core educational guidelines for instruction from grades K to 12. The overall plan does emphasize higher level thinking, problem solving, and…

Mathematics Curricula and Age Cohort Participation: A Six Nation Comparison.

ERIC Educational Resources Information Center

Natsoulas, Anthula

Secondary level mathematics programs of England, Finland, France, Israel, Japan and Swaziland are compared using data from the Second International Mathematics Study and United Nations sources. Within a clearly defined school structure, the number of mathematics course options, age cohort enrollments and male/female ratios are considered with an…

General Mathematics; Part 1. Mathematics Curriculum Guide (Career Oriented).

ERIC Educational Resources Information Center

Nuschler, Alexandra; And Others

The curriculum guide for secondary level, career-oriented General Mathematics Part 1, correlates performance objectives in basic mathematics with career-oriented concepts and activities. The material is designed to lead the student in a systematic development that provides for continuous progress. The guide is in outline format, providing a…

Multiple-solution problems in a statistics classroom: an example

NASA Astrophysics Data System (ADS)

Chu, Chi Wing; Chan, Kevin L. T.; Chan, Wai-Sum; Kwong, Koon-Shing

2017-11-01

The mathematics education literature shows that encouraging students to develop multiple solutions for given problems has a positive effect on students' understanding and creativity. In this paper, we present an example of multiple-solution problems in statistics involving a set of non-traditional dice. In particular, we consider the exact probability mass distribution for the sum of face values. Four different ways of solving the problem are discussed. The solutions span various basic concepts in different mathematical disciplines (sample space in probability theory, the probability generating function in statistics, integer partition in basic combinatorics and individual risk model in actuarial science) and thus promotes upper undergraduate students' awareness of knowledge connections between their courses. All solutions of the example are implemented using the R statistical software package.

Matematiques: Niveau A (Mathematics: Level A).

ERIC Educational Resources Information Center

Duron, Dolores; And Others

A teacher's manual was developed for an elementary level mathematics course in French as part of an immersion program for English speaking children. The Level A manual is designed for kindergarten and grade 1 pupils. Teaching procedures, conceptual and language objectives, vocabulary, structures, and learning activities are included. Activities…

Pre-service Mathematics Teachers' Knowledge of History of Mathematics and Their Attitudes and Beliefs Towards Using History of Mathematics in Mathematics Education

NASA Astrophysics Data System (ADS)

Alpaslan, Mustafa; Işıksal, Mine; Haser, Çiğdem

2014-01-01

This study examined pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4-8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males' knowledge scores are significantly higher than females' scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers' knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers' positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future.

Estimation of hepatitis C virus infections resulting from vertical transmission in Egypt.

PubMed

Benova, Lenka; Awad, Susanne F; Miller, F DeWolfe; Abu-Raddad, Laith J

2015-03-01

Despite having the highest hepatitis C virus (HCV) prevalence in the world, the ongoing level of HCV incidence in Egypt and its drivers are poorly understood. Whereas HCV mother-to-child infection is a well-established transmission route, there are no estimates of HCV infections resulting from vertical transmission for any country, including Egypt. The aim of this study was to estimate the absolute number of new HCV infections resulting from vertical transmission in Egypt. We developed a conceptual framework of HCV vertical transmission, expressed in terms of a mathematical model and based on maternal HCV antibody and viremia. The mathematical model estimated the number of HCV vertical infections nationally and for six subnational areas. Applying two vertical transmission risk estimates to the 2008 Egyptian birth cohort, we estimated that between 3,080 and 5,167 HCV infections resulted from vertical transmission among children born in 2008. HCV vertical transmission may account for half of incident cases in the <5-year age group. Disproportionately higher proportions of vertical infections were estimated in Lower Rural and Upper Rural subnational areas. This geographical clustering was a result of higher-area-level HCV prevalence among women and higher fertility rates. Vertical transmission is one of the primary HCV infection routes among children<5 years in Egypt. The absolute number of vertical transmissions and the young age at infection highlight a public health concern. These findings also emphasize the need to quantify the relative contributions of other transmission routes to HCV incidence in Egypt. © 2014 The Authors. Hepatology published by Wiley Periodicals, Inc., on behalf of the American Association for the Study of Liver Diseases.

Discarded Minds: How Gender, Race and Class Biases Prevent Young Women from Obtaining an Adequate Math and Science Education in New York City Public Schools.

ERIC Educational Resources Information Center

Syron, Lisa

This study is a systematic investigation of female participation in mathematics and science classes in New York City schools. Six major findings reported include: (1) young women's low levels of participation in mathematics and science reflect the overall low levels of participation and reveal lack of attention to excellence in mathematics and…

Matematicas: Nivel A (Mathematics: Level A).

ERIC Educational Resources Information Center

Duron, Dolores; And Others

A teacher's manual was developed for an elementary level mathematics course in Spanish as part of an immersion program for English speaking children. The Level A manual is designed for kindergarten and grade 1 pupils. Teaching procedures, conceptual objectives, vocabulary, and structures are included. Activities are designed to teach either…

Matematicas: Nivel E (Mathematics: Level E).

ERIC Educational Resources Information Center

Duron, Dolores, Ed.; And Others

A teacher's manual was developed for an elementary level mathematics course in Spanish as part of an immersion program for English speaking children. The Level E manual is designed for grade 4 pupils. Teaching procedures, conceptual and language objectives, vocabulary, structures, and learning activities are included. Activities are designed to…

Matematicas: Nivel F (Mathematics: Level F).

ERIC Educational Resources Information Center

Duron, Dolores, Ed.; And Others

A teacher's manual was developed for an elementary level mathematics course in Spanish as part of an immersion program for English speaking children. The Level F manual is designed for grade 5 pupils. Teaching procedures, conceptual and language objectives, vocabulary, structures, and learning activities are included. Activities are designed to…

Consumer Economics and Consumer Mathematics Textbooks.

ERIC Educational Resources Information Center

Eastern Michigan Univ., Ypsilanti. National Inst. for Consumer Education.

This publication lists a selection of consumer economics and consumer mathematics textbooks available for review from the National Institute for Consumer Education. Twenty-six textbooks for the secondary level are cited. Nine advanced level texts are also listed. These texts are generally considered college level texts but could be adapted for…

Math in Action. Number-Sense Fun: Solving Riddles, Making Change.

ERIC Educational Resources Information Center

Bresser, Rusty; Sheffield, Stephanie; Burns, Marilyn, Ed.

1997-01-01

Presents two activities for teaching elementary level mathematics by immersing students in worthwhile literature (the Hello Math Reader series) while introducing them to real-life mathematics. The primary level activity teaches students to use number relationships to solve math riddles. The intermediate level activity has students explore…

Mathematical literacy in Plant Physiology undergraduates: results of interventions aimed at improving students' performance

NASA Astrophysics Data System (ADS)

Vila, Francisca; Sanz, Amparo

2013-09-01

The importance of mathematical literacy in any scientific career is widely recognized. However, various studies report lack of numeracy and mathematical literacy in students from various countries. In the present work, we present a detailed study of the mathematical literacy of Spanish undergraduate students of Biology enrolled in a Plant Physiology course. We have performed individual analyses of results obtained during the period 2000-2011, for questions in the examinations requiring and not requiring mathematical skills. Additionally, we present the outcome of two interventions introduced with the aim of helping students improve their prospects for success in the course. Our results confirm previous research showing students' deficiencies in mathematical skills. However, the scores obtained for mathematical questions in the examinations are good predictors of the final grades attained in Plant Physiology, as there are strong correlations at the individual level between results for questions requiring and not requiring mathematical skills. The introduction of a laboratory session devoted to strengthening the application of students' previously acquired mathematical knowledge did not change significantly the results obtained for mathematical questions. Since mathematical abilities of students entering university have declined in recent years, this intervention may have helped to maintain students' performance to a level comparable to that of previous years. The outcome of self-assessment online tests indicates that although Mathematics anxiety is lower than during examinations, the poor results obtained for questions requiring mathematical skills are, at least in part, due to a lack of self-efficacy.

Integrating Wind Profiling Radars and Radiosonde Observations with Model Point Data to Develop a Decision Support Tool to Assess Upper-level Winds For Space Launch

NASA Technical Reports Server (NTRS)

Bauman, William H., III; Flinn, Clay

2012-01-01

Launch directors need to know upper-level wind forecasts. We developed an Excel-based GUI to display upper-level winds: (1) Rawinsonde at CCAFS, (2) Wind profilers at KSC, (3) Model point data at CCAFS.

Skimming and Skipping Stones

ERIC Educational Resources Information Center

Humble, Steve

2007-01-01

This article presents an example of skimming and skipping stone motion in mathematical terms available to students studying A-level mathematics. The theory developed in the article postulates a possible mathematical model that is verified by experimental results.

When, not if: the inescapability of an uncertain climate future.

PubMed

Ballard, Timothy; Lewandowsky, Stephan

2015-11-28

Climate change projections necessarily involve uncertainty. Analysis of the physics and mathematics of the climate system reveals that greater uncertainty about future temperature increases is nearly always associated with greater expected damages from climate change. In contrast to those normative constraints, uncertainty is frequently cited in public discourse as a reason to delay mitigative action. This failure to understand the actual implications of uncertainty may incur notable future costs. It is therefore important to communicate uncertainty in a way that improves people's understanding of climate change risks. We examined whether responses to projections were influenced by whether the projection emphasized uncertainty in the outcome or in its time of arrival. We presented participants with statements and graphs indicating projected increases in temperature, sea levels, ocean acidification and a decrease in arctic sea ice. In the uncertain-outcome condition, statements reported the upper and lower confidence bounds of the projected outcome at a fixed time point. In the uncertain time-of-arrival condition, statements reported the upper and lower confidence bounds of the projected time of arrival for a fixed outcome. Results suggested that people perceived the threat as more serious and were more likely to encourage mitigative action in the time-uncertain condition than in the outcome-uncertain condition. This finding has implications for effectively communicating the climate change risks to policy-makers and the general public. © 2015 The Author(s).

The influence of optimism and pessimism on student achievement in mathematics

NASA Astrophysics Data System (ADS)

Yates, Shirley M.

2002-11-01

Students' causal attributions are not only fundamental motivational variables but are also critical motivators of their persistence in learning. Optimism, pessimism, and achievement in mathematics were measured in a sample of primary and lower secondary students on two occasions. Although achievement in mathematics was most strongly related to prior achievement and grade level, optimism and pessimism were significant factors. In particular, students with a more generally pessimistic outlook on life had a lower level of achievement in mathematics over time. Gender was not a significant factor in achievement. The implications of these findings are discussed.

Synoptic climatology of the long-distance dispersal of white pine blister rust I. Development of an upper level synoptic classification

Treesearch

K. L. Frank; L. S. Kalkstein; B. W. Geils; H. W. Thistle

2008-01-01

This study developed a methodology to temporally classify large scale, upper level atmospheric conditions over North America, utilizing a newly-developed upper level synoptic classification (ULSC). Four meteorological variables: geopotential height, specific humidity, and u- and v-wind components, at the 500 hPa level over North America were obtained from the NCEP/NCAR...

A magneto-rheological fluid mount featuring squeeze mode: analysis and testing

NASA Astrophysics Data System (ADS)

Chen, Peng; Bai, Xian-Xu; Qian, Li-Jun; Choi, Seung-Bok

2016-05-01

This paper presents a mathematical model for a new semi-active vehicle engine mount utilizing magneto-rheological (MR) fluids in squeeze mode (MR mount in short) and validates the model by comparing analysis results with experimental tests. The proposed MR mount is mainly comprised of a frame for installation, a main rubber, a squeeze plate and a bobbin for coil winding. When the magnetic fields on, MR effect occurs in the upper gap between the squeeze plate and the bobbin, and the dynamic stiffness can be controlled by tuning the applied currents. Employing Bingham model and flow properties between parallel plates of MR fluids, a mathematical model for the squeeze type of MR mount is formulated with consideration of the fluid inertia, MR effect and hysteresis property. The field-dependent dynamic stiffness of the MR mount is then analyzed using the established mathematical model. Subsequently, in order to validate the mathematical model, an appropriate size of MR mount is fabricated and tested. The field-dependent force and dynamic stiffness of the proposed MR mount are evaluated and compared between the model and experimental tests in both time and frequency domains to verify the model efficiency. In addition, it is shown that both the damping property and the stiffness property of the proposed MR mount can be simultaneously controlled.

Understanding the Difficulties Faced by Engineering Undergraduates in Learning Mathematical Modelling

ERIC Educational Resources Information Center

Soon, Wanmei; Lioe, Luis Tirtasanjaya; McInnes, Brett

2011-01-01

The teaching of mathematics in Singapore continues, in most cases, to follow a traditional model. While this traditional approach has many advantages, it does not always adequately prepare students for University-level mathematics, especially applied mathematics. In particular, it does not cultivate the ability to deal with "non-routine…

The Path to College Calculus: The Impact of High School Mathematics Coursework

ERIC Educational Resources Information Center

Sadler, Philip; Sonnert, Gerhard

2018-01-01

This study addresses a longstanding question among high school mathematics teachers and college mathematics professors: Which is the best preparation for college calculus-- (a) a high level of mastery of mathematics considered preparatory for calculus (algebra, geometry, precalculus) or (b) taking calculus itself in high school? We used a data set…

A Comparison of Pedagogical Practices and Beliefs in International and Domestic Mathematics Teaching Assistants

ERIC Educational Resources Information Center

Kim, Minsu

2014-01-01

International and domestic mathematics teaching assistants (MTAs) are a critical part of mathematics education because they teach a substantial portion of low-level mathematics courses at research institutions. Even if there are several factors to build on MTAs' pedagogical practices, MTAs' beliefs significantly influence the MTAs' practices. The…

Interplay among School Climate, Gender, Attitude toward Mathematics, and Mathematics Performance of Middle School Students

ERIC Educational Resources Information Center

Choi, Namok; Chang, Mido

2011-01-01

This research examined the important factors influencing the mathematics achievement of students in middle schools by hierarchically specifying the personal and contextual variables. The study focused on the effect of school climate at the class level and the effects of student gender, attitude toward mathematics, educational aspiration, parent…

Final Report of Cambridge Conference on School Mathematics, January 1962 - August 1970.

ERIC Educational Resources Information Center

Cambridge Conference on School Mathematics, Newton, MA.

The Cambridge Conference on School Mathematics (CCSM) was an association of prominent mathematicians who had a concern for mathematics education at school level, from kindergarten through grade twelve. These mathematicians organized three main conferences in three areas of mathematics education, and have carried on activities related to the…

Elementary Pre-Service Teachers: Can They Experience Mathematics Teaching Anxiety without Having Mathematics Anxiety?

ERIC Educational Resources Information Center

Brown, Amy Bingham; Westenskow, Arla; Moyer-Packenham, Patricia S.

2011-01-01

Elementary pre-service teachers report high levels of mathematics anxiety (MA), but the construct less widely addressed is their mathematics teaching anxiety (MTA). This study investigated the frequency with which MA stemming from prior experiences leads to MTA. Fifty-three elementary pre-service teachers' written reflections were analyzed, using…

Development and Validation of a Mathematics Anxiety Scale for Students

ERIC Educational Resources Information Center

Ko, Ho Kyoung; Yi, Hyun Sook

2011-01-01

This study developed and validated a Mathematics Anxiety Scale for Students (MASS) that can be used to measure the level of mathematics anxiety that students experience in school settings and help them overcome anxiety and perform better in mathematics achievement. We conducted a series of preliminary analyses and panel reviews to evaluate quality…

Addressing the Mathematics-Specific Needs of Beginning Mathematics Teachers

ERIC Educational Resources Information Center

Britton, Edward

2012-01-01

Beginning mathematics teachers at the secondary level (middle and high school grades) have mathematics-specific needs that induction programs should address more substantially. However, a number of issues in how programs can accomplish this are more complex than often framed in discussions occurring in the induction programs and the field of…

American Perspectives on the Seventh International Congress on Mathematical Education.

ERIC Educational Resources Information Center

Dossey, John A., Ed.

This publication is a collection of papers portraying an American view of the happenings of the Seventh International Congress on Mathematical Education (ICME-7). Papers included: (1) "ICME-7 and Tertiary Level Mathematics: Une Petite Affaire" (Shirley Hill); (2) "Technology and Mathematics Education at ICME-7" (James T. Fey); (3) "Assessment in…

Motivating Prospective Elementary School Teachers to Learn Mathematics by Focusing upon Children's Mathematical Thinking

ERIC Educational Resources Information Center

Philipp, Randolph A.

2008-01-01

Elementary school children in the United States are not developing acceptable levels of mathematical proficiency (National Center for Education Statistics, 1999), and a major concern of teacher educators is that teachers lack the depth and flexibility of mathematical understanding and the corresponding beliefs they need to teach for proficiency…

Working Memory and Language: Skill-Specific or Domain-General Relations to Mathematics?

ERIC Educational Resources Information Center

Purpura, David J.; Ganley, Colleen M.

2014-01-01

Children's early mathematics skills develop in a cumulative fashion; foundational skills form a basis for the acquisition of later skills. However, non-mathematical factors such as working memory and language skills have also been linked to mathematical development at a broad level. Unfortunately, little research has been conducted to evaluate the…

The High School Mathematics Library. Eighth Edition.

ERIC Educational Resources Information Center

Schaaf, William L.

This eighth edition of the bibliography reflects changes in emphasis in the secondary school mathematics curriculum. The booklet is addressed primarily to high school students of all ability levels and to their mathematics teachers, and should also be of interest to students and instructors of mathematics in two-year colleges as well as librarians…