A Survey of Advanced Mathematics Topics: A New High School Mathematics Class
ERIC Educational Resources Information Center
Bellomo, Carryn; Strapp, Remy
2008-01-01
The number of students pursuing undergraduate degrees in mathematics is decreasing. Research reveals students who pursue mathematics majors complained about inadequate high school preparation in terms of disciplinary content or depth, conceptual grasp, or study skills. Unfortunately, the decrease in the number of students studying advanced…
ERIC Educational Resources Information Center
Grinstead, Mary L.
2013-01-01
This study explores the relationship between specific advanced mathematics courses and college readiness (as determined by ACT score). The ACT organization has found a consistent relationship between taking a minimum core number of mathematics courses and higher ACT scores (mathematics and composite) (ACT, Inc., 2012c). However, the extent to…
Reduce Skills Teaching in the Mathematics Class.
ERIC Educational Resources Information Center
Devlin, Keith
1999-01-01
Mathematics is much more than a collection of procedures for solving problems. Argues that the primary goal in the mathematics class is to create an awareness of the what, the how, and the why of mathematics. (ASK)
Mathematical Conversations to Transform Algebra Class
ERIC Educational Resources Information Center
Szydlik, Jennifer Earles
2015-01-01
Classroom culture is established through both conversations and practices. Traditionally in mathematics class, the focus is primarily on the latter; that is, students are shown what "doing mathematics" looks like, and then asked that they try it themselves. This article discusses three mathematical conversations that help bring…
ERIC Educational Resources Information Center
Alper, Lynne; And Others
1995-01-01
Describes the Interactive Mathematics Program (IMP), a four-year program of problem-based mathematics that integrates algebra, geometry, and trigonometry with additional topics, such as probability and statistics, and uses calculator and computer technology to enhance student understanding. (MKR)
Racial Differences in Mathematics Test Scores for Advanced Mathematics Students
ERIC Educational Resources Information Center
Minor, Elizabeth Covay
2016-01-01
Research on achievement gaps has found that achievement gaps are larger for students who take advanced mathematics courses compared to students who do not. Focusing on the advanced mathematics student achievement gap, this study found that African American advanced mathematics students have significantly lower test scores and are less likely to be…
Teacher Leaders: Advancing Mathematics Learning
ERIC Educational Resources Information Center
Kinzer, Cathy J.; Rincón, Mari; Ward, Jana; Rincón, Ricardo; Gomez, Lesli
2014-01-01
Four elementary school instructors offer insights into their classrooms, their unique professional roles, and their leadership approaches as they reflect on their journey to advance teacher and student mathematics learning. They note a "teacher leader" serves as an example to other educators and strives to impact student learning;…
Mathematical Language and Advanced Mathematics Learning
ERIC Educational Resources Information Center
Ferrari, Pier Luigi
2004-01-01
This paper is concerned with the role of language in mathematics learning at college level. Its main aim is to provide a perspective on mathematical language appropriate to effectively interpret students' linguistic behaviors in mathematics and to suggest new teaching ideas. Examples are given to show that the explanation of students' behaviors…
Cognitive Correlates of Performance in Advanced Mathematics
ERIC Educational Resources Information Center
Wei, Wei; Yuan, Hongbo; Chen, Chuansheng; Zhou, Xinlin
2012-01-01
Background: Much research has been devoted to understanding cognitive correlates of elementary mathematics performance, but little such research has been done for advanced mathematics (e.g., modern algebra, statistics, and mathematical logic).Aims: To promote mathematical knowledge among college students, it is necessary to understand what factors…
Mathematical Proof as Formal Procept in Advanced Mathematical Thinking
ERIC Educational Resources Information Center
Chin, Erh-Tsung
2003-01-01
In this paper the notion of "procept" (in the sense of Gray & Tall, 1994) is extended to advanced mathematics by considering mathematical proof as "formal procept". The statement of a theorem as a symbol may theoretically evoke the proof deduction as a process that may contain sequential procedures and require the synthesis of distinct cognitive…
Gestures and insight in advanced mathematical thinking
NASA Astrophysics Data System (ADS)
Yoon, Caroline; Thomas, Michael O. J.; Dreyfus, Tommy
2011-10-01
What role do gestures play in advanced mathematical thinking? We argue that the role of gestures goes beyond merely communicating thought and supporting understanding - in some cases, gestures can help generate new mathematical insights. Gestures feature prominently in a case study of two participants working on a sequence of calculus activities. One participant uses gestures to clarify the relationships between a function, its derivative and its antiderivative. We show how these gestures help create a virtual mathematical construct, which in turn leads to a new problem-solving strategy. These results suggest that gestures are a productive, but potentially undertapped resource for generating new insights in advanced levels of mathematics.
Multi-Positioning Mathematics Class Size: Teachers' Views
ERIC Educational Resources Information Center
Handal, Boris; Watson, Kevin; Maher, Marguerite
2015-01-01
This paper explores mathematics teachers' perceptions about class size and the impact class size has on teaching and learning in secondary mathematics classrooms. It seeks to understand teachers' views about optimal class sizes and their thoughts about the education variables that influence these views. The paper draws on questionnaire responses…
Tasks to Advance the Learning of Mathematics
ERIC Educational Resources Information Center
Greenes, Carole
2014-01-01
Tasks to Advance the Learning of Mathematics (TALMs) were developed to stimulate grades 5-8 students' curiosity about complex mathematical relationships, inspire them to reason abstractly and quantitatively, encourage them to consider and create alternative solution approaches, develop their skills to persuade others about the viability of one…
Gestures and Insight in Advanced Mathematical Thinking
ERIC Educational Resources Information Center
Yoon, Caroline; Thomas, Michael O. J.; Dreyfus, Tommy
2011-01-01
What role do gestures play in advanced mathematical thinking? We argue that the role of gestures goes beyond merely communicating thought and supporting understanding--in some cases, gestures can help generate new mathematical insights. Gestures feature prominently in a case study of two participants working on a sequence of calculus activities.…
ERIC Educational Resources Information Center
Green, LuEthel Tate
1990-01-01
Investigates test anxiety, mathematics anxiety, and teacher feedback among university students enrolled in remedial mathematics classes to explore student motivation within an instructional framework. Results indicate that text anxiety has a significant effect on remedial mathematics students' mathematics achievement, and that informative feedback…
Instructor Facilitation of Whole-Class Discussion in Two Mathematics Classes for Preservice Teachers
ERIC Educational Resources Information Center
Young, Sarah Helen
2014-01-01
This study investigated how instructors engage preservice teachers (PSTs) in whole-class discussion in mathematics classes for PSTs. Participating in discussions of mathematical ideas by explaining mathematical ideas to others and responding to others' ideas and arguments might be beneficial for PSTs both to help them develop deeper knowledge of…
Exposing calculus students to advanced mathematics
NASA Astrophysics Data System (ADS)
Griffiths, Barry J.; Selcuk Haciomeroglu, Erhan
2014-07-01
To ensure the competitiveness of the USA in the global economy, and its role as a leader in science and engineering, it is important to cultivate the next generation of home grown mathematicians. However, while universities across the USA offer calculus classes to thousands of undergraduate students each year, very few of them go on to major in mathematics. This paper posits that one of the main reasons is that the mathematical community does not expose calculus students to the beauty and complexity of upper-level mathematics, and that by doing so before they fully commit to their programme of study, the number of students with a qualification in mathematics can be increased. The results show a significant increase in the number of students planning to add a minor in mathematics, and an increased likelihood among freshmen and sophomores to change their major.
ERIC Educational Resources Information Center
Anderson, Rick
2006-01-01
The focus of this paper is a group of rural high school students and the factors that contributed to their participation in mathematics classes beyond those minimally required for high school graduation. The author follows Gutierrez (2002) in referring to participation as course taking, particularly in elective and advanced mathematics classes.…
ERIC Educational Resources Information Center
Dalton, Ben; Ingels, Steven J.; Downing, Jane; Bozick, Robert
2007-01-01
While increased academic requirements for high school graduation have long been advocated, current research shows a mixed record in mathematics and science achievement among American middle and high school students relative to some of their international peers. In response to these concerns and other calls for reform, states have increased the…
ERIC Educational Resources Information Center
Rasmussen, Chris; Kwon, Oh Nam; Allen, Karen; Marrongelle, Karen; Burtch, Mark
2006-01-01
This paper provides an overview of the Inquiry-Oriented Differential Equations (IO-DE) project and reports on the main results of a study that compared students' beliefs, skills, and understandings in IO-DE classes to more conventional approaches. The IO-DE project capitalizes on advances within mathematics and mathematics education, including the…
Using Simulations in the Mathematics Class
ERIC Educational Resources Information Center
Santulli, Thomas V.
2006-01-01
The understanding and a liking towards mathematics can be very effectively developed in students by allowing them to find out the solutions for any basic problem or simulations, which are basically mathematical reenactments of nearly or completely hypothetical situations. The nontransitive relation of Efron's dice or the assignment of numbers in a…
Affective Barriers to Student Achievement in Developmental Mathematics Classes
ERIC Educational Resources Information Center
Chadwick, Angela M.
2013-01-01
The purpose of this study was to assess the affective barriers to student achievement in developmental mathematics classes. A Delphi process was used to identify and corroborate a list of affective domain concerns that act as barriers to achievement for developmental students and developmental mathematics instructors. The process consisted of…
Constructivism in a kindergarten mathematics class
NASA Astrophysics Data System (ADS)
MacMillan, Agnes
1990-06-01
This paper seeks to show that children in their first year at school can be guided towards a closer awareness of their own mathematical thinking so that ultimately the achievement of more elegant solutions to problems will become one of their goals. A more accepting, flexible and varied approach that centres on the conceptual state and psychological needs of the child is one that has been espoused by mathematics educators. The paper outlines some of the processes and problems involved in implementing such an approach by an experienced teacher in her classroom. It was found that by delicately exploring a child's thought processes, it is possible to gain an illuminating view of the particular characteristics of each child's conceptual world.
[Latest advances of SLA class I genes].
Tao, Xuan; Li, Hua; Li, Xue-Wei; Yu, Hui; Zuo, Qi-Zhen
2007-11-01
The Swine leukocyte antigen (SLA) class I genes encode multi-glycoproteins on cell surface, which present endogenous antigenic peptides to T cells and thus initiate specific immune responses. In this article, latest advances on molecular structure, expression in tissues, regulation of expression, genotyping, polymorphism, and evolution of SLA class I genes were introduced, in which genotyping and polymorphism were emphasized. Molecular typing methods of SLA class I genes include serological method, DNA sequencing, PCR-SSP, PCR-SSOP and MS, of which PCR-SSP is frequently used in genotyping of SLA class I genes as a simple and rapid method. Future directions for the study and application of SLA class I genes on gene functions, peptide vaccine, xenotransplantation were also discussed.
High School Students' Emotional Experiences in Mathematics Classes
ERIC Educational Resources Information Center
Martínez-Sierra, Gustavo; González, María del Socorro García
2014-01-01
The aim of this qualitative research is to identify Mexican high school students' emotional experiences in mathematics classes. In order to obtain the data, focus group interviews were carried out with 22 students. The data analysis is based on the theory of the cognitive structure of emotions, which specifies the eliciting conditions for each…
Advanced Mathematics Course-Taking: A Focus on Gender Equifinality
ERIC Educational Resources Information Center
You, Sukkyung; Sharkey, Jill D.
2012-01-01
High school mathematics achievement predicts future success. Potentially different factors that lead to success for boys versus girls, termed equifinality, are not well understood. Such factors are needed to inform interventions to increase numbers of students taking advanced mathematics courses and going on into science and mathematics careers.…
Secondary School Advanced Mathematics, Chapter 3, Formal Geometry. Student's Text.
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This text is the second of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. This volume is devoted to a rigorous development of theorems in plane geometry from 22…
ERIC Educational Resources Information Center
Koichu, Boris
2010-01-01
This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of "three mathematical worlds"; relatively advanced problem-solving behaviours are defined in terms of taxonomies of "proof schemes" and "heuristic behaviours". The relationships…
Conditional Inference and Advanced Mathematical Study: Further Evidence
ERIC Educational Resources Information Center
Inglis, Matthew; Simpson, Adrian
2009-01-01
In this paper, we examine the support given for the "theory of formal discipline" by Inglis and Simpson (Educational Studies Mathematics 67:187-204, "2008"). This theory, which is widely accepted by mathematicians and curriculum bodies, suggests that the study of advanced mathematics develops general thinking skills and, in particular, conditional…
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…
All Students Need Advanced Mathematics. Math Works
ERIC Educational Resources Information Center
Achieve, Inc., 2013
2013-01-01
This fact sheet explains that to thrive in today's world, all students will need to graduate with very strong math skills. That can only mean one thing: advanced math courses are now essential math courses. Highlights of this paper include: (1) Advanced math equals college success; (2) Advanced math equals career opportunity; and (3) Advanced math…
ERIC Educational Resources Information Center
Ma, Xin
2010-01-01
Based on data from the Longitudinal Study of American Youth (LSAY), students were classified into high-, middle-, and low-ability students. The effects of early acceleration in mathematics on the most advanced mathematics coursework (precalculus and calculus) in high school were examined in each category. Results showed that although early…
Class Size Effects on Fourth-Grade Mathematics Achievement: Evidence from TIMSS 2011
ERIC Educational Resources Information Center
Li, Wei; Konstantopoulos, Spyros
2016-01-01
Class size reduction policies have been widely implemented around the world in recent years. However, findings about the effects of class size on student achievement have been mixed. This study examines class size effects on fourth-grade mathematics achievement in 14 European countries using data from TIMSS (Trends in International Mathematics and…
An Enquiry Into Adverse Attitudes Towards Advanced Level Mathematics
ERIC Educational Resources Information Center
Selkirk, Jack
1975-01-01
The adverse attitudes of many students in advanced mathematics courses were explored. Results indicated students felt the gap between regular and advanced courses was too great, and that students pursuing arts or social sciences would benefit from courses with broader application. (SD)
ERIC Educational Resources Information Center
Sangpom, Wasukree; Suthisung, Nisara; Kongthip, Yanin; Inprasitha, Maitree
2016-01-01
Mathematical teaching in Thai tertiary education still employs traditional methods of explanation and the use of rules, formulae, and theories in order for students to memorize and apply to their mathematical learning. This results in students' inability to concretely learn, fully comprehend and understand mathematical concepts and practice. In…
Exposing Calculus Students to Advanced Mathematics
ERIC Educational Resources Information Center
Griffiths, Barry J.; Haciomeroglu, Erhan Selcuk
2014-01-01
To ensure the competitiveness of the USA in the global economy, and its role as a leader in science and engineering, it is important to cultivate the next generation of home grown mathematicians. However, while universities across the USA offer calculus classes to thousands of undergraduate students each year, very few of them go on to major in…
ERIC Educational Resources Information Center
Robert, Aline
1995-01-01
Examines discourse, not strictly mathematical, that teachers might adopt in a mathematics class and presents three major functions of such discourse: communication; structuring and labeling; and reflection. Develops lines for further inquiry, notably on the third function, the most likely focus for specific preparation by the teacher. (13…
ERIC Educational Resources Information Center
Brown, Marc C.
2012-01-01
The central research question of the study asks: how do middle school students experience learning mathematics in middle school mathematics class? The additional research questions that guide the study ask: what are some of the barriers to learning mathematics in middle school mathematics class and what causes students to understand certain…
NASA Astrophysics Data System (ADS)
Kubo, Izumi; Honda, Tatsuhiro; Yokota, Hisashi
In the academic year 2004 Faculty of Environmental Studies in Hiroshima Institute of Technology stopped coordinating the mathematical classes by the placement tests, because a number of students found themselves mismatched to assigned classes. This was due to the diversifying types of entrance exams. Instead the mathematics classes are now coordinated by the students‧ learning backgrounds. This paper presents the method of mathematics education based on class coordination by learners‧ backgrounds and the annotation on the time-history of the students‧ achievements for four years from the academic year 2004 to show the validity of this novel method of education for diversified students.
Advanced Algebra and Calculus. High School Mathematics Curricula. Instructor's Guide.
ERIC Educational Resources Information Center
Natour, Denise M.
This manual is an instructor's guide for the utilization of the "CCA High School Mathematics Curricula: Advanced Algebra and Calculus" courseware developed by the Computer-based Education Research Laboratory (CERL). The curriculum comprises 34 algebra lessons within 12 units and 15 calculus lessons that are computer-based and require mastery for…
Who Succeeds in Advanced Mathematics and Science Courses?
ERIC Educational Resources Information Center
Korpershoek, Hanke; Kuyper, Hans; van der Werf, Greetje; Bosker, Roel
2011-01-01
Few students (particularly few girls) currently choose to take their Final School Examination (FSE) in advanced mathematics, chemistry and physics, a combination of subjects that is the best preparation for a science-oriented study in higher education. Are these subjects attainable by more students than is currently the case? This study examined…
NASA Astrophysics Data System (ADS)
Koichu, Boris
2010-03-01
This article discusses an issue of inserting mathematical knowledge within the problem-solving processes. Relatively advanced mathematical knowledge is defined in terms of three mathematical worlds; relatively advanced problem-solving behaviours are defined in terms of taxonomies of proof schemes and heuristic behaviours. The relationships between mathematical knowledge and problem-solving behaviours are analysed in the contexts of solving an insight geometry problem, posing algebraic problems and calculus exploration. A particularly knowledgeable and skilled university student was involved in all the episodes. The presented examples substantiate the claim that advanced mathematical knowledge and advanced problem-solving behaviours do not always support each other. More advanced behaviours were observed when the student worked within her conceptual-embodied mathematical world, and less advanced ones when she worked within her symbolic and formal-axiomatic worlds. Alternative explanations of the findings are discussed. It seems that the most comprehensive explanation is in terms of the Principle of Intellectual Parsimony. Implications for further research are drawn.
Advanced Mathematical Knowledge in Teaching Practice: Perceptions of Secondary Mathematics Teachers
ERIC Educational Resources Information Center
Zazkis, Rina; Leikin, Roza
2010-01-01
For the purpose of our research we define Advanced Mathematical Knowledge (AMK) as knowledge of the subject matter acquired during undergraduate studies at colleges or universities. We examine the responses of secondary school teachers about their usage of AMK in teaching. We find that the majority of teachers focus on the purposes and advantages…
Mathematical foundations of quantum mechanics: An advanced short course
NASA Astrophysics Data System (ADS)
Moretti, Valter
2016-08-01
This paper collects and extends the lectures I gave at the “XXIV International Fall Workshop on Geometry and Physics” held in Zaragoza (Spain) during September 2015. Within these lectures I review the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas, mathematical tools and theorems also related to the representation of physical symmetries. The final step consists of an elementary introduction the so-called (C∗-) algebraic formulation of quantum theories.
Class Size Effects on Mathematics Achievement in Cyprus: Evidence from TIMSS
ERIC Educational Resources Information Center
Konstantopoulos, Spyros; Shen, Ting
2016-01-01
Class size reduction has been viewed as one school mechanism that can improve student achievement. Nonetheless, the literature has reported mixed findings about class size effects. We used 4th- and 8th-grade data from TIMSS 2003 and 2007 to examine the association between class size and mathematics achievement in public schools in Cyprus. We…
ERIC Educational Resources Information Center
Mason, DeWayne A.; Good, Thomas L.
1993-01-01
A whole-class model providing for student diversity through remediation and enrichment in small groups was compared with a two-group model accommodating diversity through fixed within-class ability groups. Higher mathematics achievement was found for the whole-class model in a study of 1,736 fourth, fifth, and sixth graders. (SLD)
Teacher Interventions in Cooperative-Learning Mathematics Classes
ERIC Educational Resources Information Center
Ding, Meixia; Li, Xiaobao; Piccolo, Diana; Kulm, Gerald
2007-01-01
The authors examined the extent to which teacher interventions focused on students' mathematical thinking in naturalistic cooperative-learning mathematics classroom settings. The authors also observed 6 videotapes about the same teaching content using similar curriculum from 2 states. They created 2 instruments for coding the quality of teacher…
Instructional Qualities of a Successful Mathematical Problem-Solving Class.
ERIC Educational Resources Information Center
Santos-Trigo, Manuel
1998-01-01
Describes activities that have been successfully implemented by an expert during a mathematical problem-solving course. Focuses on the identification of the qualities of these problems used to promote the development of student strategies and values that reflect mathematical practice in the classroom. Contains 17 references. (ASK)
A Case Study of Single-Sex Middle School Mathematics Classes in a Mixed-Sex Public School
ERIC Educational Resources Information Center
Kawasha, Fridah Singongi Silishebo
2010-01-01
The purpose of this case study was to (a) examine the main and interaction effects of gender, race and class-type on mathematics achievement, mathematics attitudes and sources of mathematics self-efficacy, (b) investigate teacher-student interactions in the single-sex mathematics classes and (c) investigate perspectives about single-sex…
Advanced mathematical study and the development of conditional reasoning skills.
Attridge, Nina; Inglis, Matthew
2013-01-01
Since the time of Plato, philosophers and educational policy-makers have assumed that the study of mathematics improves one's general 'thinking skills'. Today, this argument, known as the 'Theory of Formal Discipline' is used in policy debates to prioritize mathematics in school curricula. But there is no strong research evidence which justifies it. We tested the Theory of Formal Discipline by tracking the development of conditional reasoning behavior in students studying post-compulsory mathematics compared to post-compulsory English literature. In line with the Theory of Formal Discipline, the mathematics students did develop their conditional reasoning to a greater extent than the literature students, despite them having received no explicit tuition in conditional logic. However, this development appeared to be towards the so-called defective conditional understanding, rather than the logically normative material conditional understanding. We conclude by arguing that Plato may have been correct to claim that studying advanced mathematics is associated with the development of logical reasoning skills, but that the nature of this development may be more complex than previously thought.
Computer-supported Classes in Mathematics for Engineering Students
NASA Astrophysics Data System (ADS)
Stoynov, Y. D.
2008-10-01
A combined method for teaching and learning selected topics of Mathematics for engineering students is presented. Some points in approaching these topics using CAS DERIVE are discussed and CAS-support of students' learning is shown.
NASA Astrophysics Data System (ADS)
Manger, Terje; Gjestad, Rolf
1997-03-01
The relationship between mathematical achievement and the ratio of boys to girls in school classes was investigated in a sample of third-grade Norwegian elementary school students (440 girls and 480 boys). Belonging to classes with a numerical majority of boys or girls did not affect the achievement of either of the sexes. The results from the study do not support the single-sexing of mathematics teaching.
Effects of Teaching Strategies on Student Motivation to Learn in High School Mathematics Classes
ERIC Educational Resources Information Center
Toles, Ann
2010-01-01
To succeed in an increasing technological and global society, students need to develop strong mathematical and problem-solving skills. This qualitative grounded theory study examined student perceptions of the ways in which teaching strategies in high school mathematics classes affect student motivation to learn the subject. Study participants…
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…
Obstacles of Teaching Mathematics Faced by the Class Teachers in Jordan
ERIC Educational Resources Information Center
Nejem, Khamis Mousa; Muhanna, Waffa
2013-01-01
The purpose of the study is to investigate the obstacles of teaching mathematics faced by the class teachers in Jordan. To achieve this purpose a study sample of 192 male and female class teachers was selected randomly from government schools. The instrument of the study was a questionnaire used to investigate the obstacles of mathematics…
ERIC Educational Resources Information Center
Webel, Corey
2013-01-01
In this article I explore high school students' perspectives on working together in a mathematics class in which they spent a significant amount of time solving problems in small groups. The data included viewing session interviews with eight students in the class, where each student watched video clips of their own participation, explaining and…
Mathematics Instruction in Combination and Single-Grade Classes: An Exploratory Investigation.
ERIC Educational Resources Information Center
Mason, Dewayne A.; Good, Thomas L.
1996-01-01
This study compared the curriculum, instructional strategies, and organizational formats used by 6 elementary mathematics teachers with multigrade classes and those used by 18 who used either whole-class teaching or ability grouping. Analysis of videotaped lessons found significant differences between groups, suggesting that multigrade classes…
Multi-World Paradigm in Mathematical Learning (1): An Analysis of Mathematics Classes.
ERIC Educational Resources Information Center
Nakahara, Tadao; Sasaki, Tetsuro; Koyama, Masataka; Yamaguchi, Takeshi
2000-01-01
Illustrates two analyses of mathematical learning based on the multi-word paradigm and considers it theoretically. The multi-world paradigm suggests the very important forward direction for research in teaching and learning mathematics because educational phenomena are often complex and can not be reduced to a single theory. (Contains 28…
The Impact of Advanced Curriculum on the Achievement of Mathematically Promising Elementary Students
ERIC Educational Resources Information Center
Gavin, M. Katherine; Casa, Tutita M.; Adelson, Jill L.; Carroll, Susan R.; Sheffield, Linda Jensen
2009-01-01
The primary aim of Project M[superscript 3]: Mentoring Mathematical Minds was to develop and field test advanced units for mathematically promising elementary students based on exemplary practices in gifted and mathematics education. This article describes the development of the units and reports on mathematics achievement results for students in…
Year 11 Advanced Mathematics: Hearing from Students Who Buck the Trend
ERIC Educational Resources Information Center
Ho, Kai Fai
2010-01-01
There are concerns about the trends and patterns in enrolments in senior school mathematics. Shortages of suitably qualified teachers and dwindling students' demand for Advanced Mathematics have led some Western Australian schools to collaborate to provide an otherwise unavailable opportunity for their students to study Advanced Mathematics. It is…
ERIC Educational Resources Information Center
Schreiber, James B.
The student variables associated with scoring above the international mean on the Third International Mathematics and Science Study (TIMSS) were studied in a group of U.S. students who took advanced mathematics or advanced mathematics and physics. The total sample was 2,349, with 1,158 females and 1,191 males. Formal parent education level and…
Mathematical modeling of a class of multibody flexible spacecraft structures
NASA Technical Reports Server (NTRS)
Kelkar, Atul, G.
1994-01-01
A mathematical model for a general multibody flexible spacecraft is obtained. The generic spacecraft considered consists of a flexible central body to which a number of flexible multibody structures are attached. The coordinate systems used in the derivation allow effective decoupling of the translational motion of the entire spacecraft from its rotational motion about its center of mass. The derivation assumes that the deformations in the bodies are only due to elastic motions. The dynamic model derived is a closed-form vector-matrix differential equation. The model developed can be used for analysis and simulation of many realistic spacecraft configurations.
Advanced Academic Skills in the Low-Level ESL Class.
ERIC Educational Resources Information Center
Pearson, Christine R.
1981-01-01
Suggests and gives examples of how a few advanced skills and concepts are related to successful reading and writing and can be introduced in low-level ESL classes. Examples include generality-specificity distinction, relevance-irrelevance distinction, underlining and making notes, paraphrasing, and summarizing. This conceptually integrated…
ERIC Educational Resources Information Center
Kombe, Dennis; Che, S. Megan; Carter, Traci L.; Bridges, William
2016-01-01
In this article, we present findings from a study that investigated the relationship between all-girls classes, all-boys classes, and coeducational classes on student mathematics self-concept and student perception of classroom environment. Further, we compared responses of girls in all-girls classes to girls in coeducational classes and responses…
Code of Federal Regulations, 2011 CFR
2011-01-01
... Power Rockets and Class 3-Advanced High Power Rockets. 101.25 Section 101.25 Aeronautics and Space... OPERATING RULES MOORED BALLOONS, KITES, AMATEUR ROCKETS AND UNMANNED FREE BALLOONS Amateur Rockets § 101.25 Operating limitations for Class 2-High Power Rockets and Class 3-Advanced High Power Rockets. When...
Code of Federal Regulations, 2013 CFR
2013-01-01
... Power Rockets and Class 3-Advanced High Power Rockets. 101.25 Section 101.25 Aeronautics and Space... OPERATING RULES MOORED BALLOONS, KITES, AMATEUR ROCKETS AND UNMANNED FREE BALLOONS Amateur Rockets § 101.25 Operating limitations for Class 2-High Power Rockets and Class 3-Advanced High Power Rockets. When...
Code of Federal Regulations, 2010 CFR
2010-01-01
... Power Rockets and Class 3-Advanced High Power Rockets. 101.25 Section 101.25 Aeronautics and Space... OPERATING RULES MOORED BALLOONS, KITES, AMATEUR ROCKETS AND UNMANNED FREE BALLOONS Amateur Rockets § 101.25 Operating limitations for Class 2-High Power Rockets and Class 3-Advanced High Power Rockets. When...
Code of Federal Regulations, 2014 CFR
2014-01-01
... Power Rockets and Class 3-Advanced High Power Rockets. 101.25 Section 101.25 Aeronautics and Space... OPERATING RULES MOORED BALLOONS, KITES, AMATEUR ROCKETS AND UNMANNED FREE BALLOONS Amateur Rockets § 101.25 Operating limitations for Class 2-High Power Rockets and Class 3-Advanced High Power Rockets. When...
Code of Federal Regulations, 2012 CFR
2012-01-01
... Power Rockets and Class 3-Advanced High Power Rockets. 101.25 Section 101.25 Aeronautics and Space... OPERATING RULES MOORED BALLOONS, KITES, AMATEUR ROCKETS AND UNMANNED FREE BALLOONS Amateur Rockets § 101.25 Operating limitations for Class 2-High Power Rockets and Class 3-Advanced High Power Rockets. When...
ERIC Educational Resources Information Center
McBride, Craig
2015-01-01
This paper contains a description of my experiences flipping undergraduate mathematics and statistics courses for the first time with some advice for any fellow novice flippers. This paper discusses ways to start small and build up to a completely flipped class over the span of a few terms with advice on what technology to use including software…
ERIC Educational Resources Information Center
Gaspard, Cathy
2013-01-01
This study examined four high school mathematics student teachers' questions and responses in whole class discussion for eight weeks. Throughout the eight weeks, student teachers were teaching full time. With the use of video, interviews and written reflections the results make visible that student teachers attempted to ask questions that required…
Students' Discourse When Working in Pairs with Etoys in an Eighth-Grade Mathematics Class
ERIC Educational Resources Information Center
DeJarnette, Anna F.
2016-01-01
I examined students' discourse while working in pairs at the computer in an eighth-grade mathematics class to understand how students kept track of the people and things they discussed. I found that students most often referenced themselves and objects within the environment, through references to shared knowledge and the representations on the…
ERIC Educational Resources Information Center
Rigo-Lemini, Mirela
2013-01-01
The paper introduces an interpretative framework that contains a characterization of "epistemic schemes" (constructs that are used to explain how class agents themselves are able to gain convincement in or promote convincement of mathematical statements) and "epistemic states" (a person's internal states, such as…
ERIC Educational Resources Information Center
Huss-Keeler, Rebecca; Brown, Suzanne
2007-01-01
This paper examines the strategies used, challenges faced and lessons learned in meeting the diverse learning needs of graduate initial certification and graduate certified teachers in the same cross-listed early childhood mathematics class. Questions investigated included "How can instructors best meet the learning needs of diverse candidates in…
Mathematics Achievement with Digital Game-Based Learning in High School Algebra 1 Classes
ERIC Educational Resources Information Center
Ferguson, Terri Lynn Kurley
2014-01-01
This study examined the impact of digital game-based learning (DGBL) on mathematics achievement in a rural high school setting in North Carolina. A causal comparative research design was used in this study to collect data to determine the effectiveness of DGBL in high school Algebra 1 classes. Data were collected from the North Carolina…
Secondary School Advanced Mathematics, Chapter 8, Systems of Equations. Student's Text.
ERIC Educational Resources Information Center
Stanford Univ., CA. School Mathematics Study Group.
This text is the last of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. In this volume the solution of systems of linear and quadratic equations and inequalities in…
ERIC Educational Resources Information Center
Weber, Keith
2009-01-01
This paper presents a case study of a highly successful student whose exploration of an advanced mathematical concept relies predominantly on syntactic reasoning, such as developing formal representations of mathematical ideas and making logical deductions. This student is observed as he learns a new mathematical concept and then completes…
Negotiation of meaning in mathematics classrooms: A study of two year 5 classes
NASA Astrophysics Data System (ADS)
Frid, Sandra; Malone, John
1995-10-01
This study investigated the relationship between students' classroom experiences and the manner in which they construct mathematical meanings. There were two intertwined research foci: (a) how students make sense of and utilise mathematics concepts and operations, and (b) the social context within which teachers' and students' individual contributions play a role in the sense-making and utilisation of mathematics concepts and skills. Data was collected from classroom observations and video-taping sessions and from subsequent video-stimulated interviews with 6 students in each of two Year 5 classes. Analysis revealed the existence of four primary sources by which students determined the meaning or correctness of mathematical activity: the teacher, intuition, familiarity and procedural knowledge. In relation to the social level, the teacher emerged as playing the most valued role in the sense making and ratifying of procedures or answers.
Students' and teachers' perceptions of single-sex and mixed-sex mathematics classes
NASA Astrophysics Data System (ADS)
Rennie, Léonie J.; Parker, Lesley H.
1997-11-01
This study examines students' perceptions of the learning settings in single-sex and mixed-sex mathematics classes, and teachers' responses to those different classroom contexts. Nearly 300 students in four coeducational secondary schools gave their views of the nature of their participation and interaction in their mathematics classrooms, and data were also obtained from their teachers. There was congruence between students' and teachers' perceptions of the environment in the two kinds of classrooms. Overall, it was perceived that single-sex classrooms provided a more supportive environment for girls, but a rather less supportive environment for boys. Teachers used different strategies with the two kinds of classes and, although many experienced initial difficulty with unruly boys' classes, these problems were overcome. The single-sex environment provided opportunities for teachers to address apparent shortcomings arising from boys' and girls' previous educational experience, which resulted in improved attitudes and performance.
Institutional and Student Factors and Their Influence on Advanced Mathematics Achievement.
ERIC Educational Resources Information Center
Schreiber, James B.
2002-01-01
Examined advanced mathematics achievement among high school students using data from the Third International Mathematics and Science Study. Examination of school- and student-level factors indicated that gender and economic disparities existed, even with the most advanced students. This disparity varied by school. Parent education related to…
A Cross-National Comparison of Reported Effort and Mathematics Performance in TIMSS Advanced
ERIC Educational Resources Information Center
Eklöf, Hanna; Pavešic, Barbara Japelj; Grønmo, Liv Sissel
2014-01-01
The purpose of the study was to measure students' reported test-taking effort and the relationship between reported effort and performance on the Trends in International Mathematics and Science Study (TIMSS) Advanced mathematics test. This was done in three countries participating in TIMSS Advanced 2008 (Sweden, Norway, and Slovenia), and the…
ERIC Educational Resources Information Center
de Wolf, Virginia A.
Freshmen placed into the second or third quarter of the first year calculus sequence at the University of Washington were studied. Two major findings were: freshmen eligible for advanced placement earned mean mathematics Grade Point Averages (GPAs) which were quite high; and advanced placement students earned mean mathematics GPAs substantially…
A mathematical model of the class D converter for compact fluorescent ballasts
Nerone, L.R.
1995-11-01
The time-harmonic analysis is often used to design the class D converter. Since the Q of the resonant network is often low, this analysis, in the form of the sinusoidal approximation, begins to lose accuracy. This paper explores an improved method of designing compact fluorescent ballasts via the square wave approximation (SWA), where the time domain equations are solved for the general case of arbitrary Q, duty ratio, and frequency. A precise mathematical model of the Class D converter is developed that predicts the currents and voltages of the converter and these solutions are compared with computer simulation. Nonlinear programming (NLP) is introduced as a means to design the ballast for the lowest conduction losses. The equations developed in the mathematical model are formulated into a NLP format that includes the self-oscillating case.
Some observations on the interdigitation of advances in medical science and mathematics.
Glamore, Michael James; West, James L; O'leary, James Patrick
2013-12-01
The immense advancement of our understanding of disease processes has not been a uniform progression related to the passage of time. Advances have been made in "lurches" and "catches" since the advent of the written word. There has been a remarkable interdependency between such advances in medicine and advances in mathematics that has proved beneficial to both. This work explores some of these critical relationships and documents how the individuals involved contributed to advances in each.
First-Grade Predictors of Mathematical Learning Disability: A Latent Class Trajectory Analysis
Geary, David C.; Bailey, Drew H.; Littlefield, Andrew; Wood, Phillip; Hoard, Mary K.; Nugent, Lara
2009-01-01
Kindergarten to 3rd grade mathematics achievement scores from a prospective study of mathematical development were subjected to latent growth trajectory analyses (n = 306). The four corresponding classes included children with mathematical learning disability (MLD, 6% of sample), and low (LA, 50%), typically (TA, 39%) and high (HA, 5%) achieving children. The groups were administered a battery of intelligence (IQ), working memory, and mathematical-cognition measures in 1st grade. The children with MLD had general deficits in working memory and IQ, and potentially more specific deficits on measures of number sense. The LA children did not have working memory or IQ deficits, but showed moderate deficits on these number sense measures and for addition fact retrieval. The distinguishing features of the HA children were a strong visuospatial working memory, a strong number sense, and frequent use of memory-based processes to solve addition problems. Implications for the early identification of children at risk for poor mathematics achievement are discussed. PMID:20046817
ERIC Educational Resources Information Center
Ricketts, Jean Napier
The effects of a prescribed, sequential program of reading and mathematics readiness activities were investigated in an experimental study of 229 middle-class kindergarten children. Eight of 16 kindergarten classes received the experimental treatment for six months; the other eight served as a control group. Readiness tests were given before and…
Wong, Terry T-Y; Ho, Connie S-H; Tang, Joey
2014-11-01
The traditional way of identifying children with mathematics learning disabilities (MLDs) using the low-achievement method with one-off assessment suffers from several limitations (e.g., arbitrary cutoff, measurement error, lacking consideration of growth). The present study attempted to identify children with MLD using the latent growth modelling approach, which minimizes the above potential problems. Two hundred and ten Chinese-speaking children were classified into five classes based on their arithmetic performance over 3 years. Their performance on various number-related cognitive measures was also assessed. A potential MLD class was identified, which demonstrated poor achievement over the 3 years and showed smaller improvement over time compared with the average-achieving class. This class had deficits in all number-related cognitive skills, hence supporting the number sense deficit hypothesis. On the other hand, another low-achieving class, which showed little improvement in arithmetic skills over time, was also identified. This class had an average cognitive profile but a low SES. Interventions should be provided to both low-achieving classes according to their needs.
Advanced Skills for Chapter 1 Mathematics: Estimation. Workshop Leader's Guide.
ERIC Educational Resources Information Center
Advanced Technology, Inc., Indianapolis, IN.
This Workshop Leader's Guide contains step-by-step procedures for preparing, organizing, and presenting 1-hour and 3-hour workshops on estimation in mathematics. It was designed to assist Technical Assistance Center staff members and other inservice providers in conducting successful workshops on estimation in mathematics for administrators,…
ERIC Educational Resources Information Center
Lew, Kristen; Fukawa-Connelly, Timothy Patrick; Mejía-Ramos , Juan Pablo; Weber, Keith
2016-01-01
We describe a case study in which we investigate the effectiveness of a lecture in advanced mathematics. We first videorecorded a lecture delivered by an experienced professor who had a reputation for being an outstanding instructor. Using video recall, we then interviewed the professor to determine the ideas that he intended to convey and how he…
Why so few young women in mathematics, science, and technology classes?
Wieda, K.J.
1995-06-01
Many factors influence the success of women in scientific and technical careers. Women represent over 50% of the U.S. population, yet less than 16% of women are employed in scientific and technical careers. Research over the last decade makes it clear that disparities exist in the participation, achievement, and attitudes of young men and young women in science classes. Young women are as interested in science experiences as young men up until age nine. After that age, the number of young women interested in science, mathematics, and technology classes drops. Not enrolling in science and mathematics classes in high school limits career options for young women, and their chance to succeed in a scientific or technical field becomes remote. Why is this happening? What can we, as educators, scientists, and parents do to address this problem? The literature identifies three principal factors that relate to the lack of female involvement in science classes: culture, attitude, and education. This paper reviews these factors and provides examples of programs that Pacific Northwest Laboratory (PNL) and others have developed to increase the number of young women entering college ready and wanting to pursue a career in a scientific or technical field.
Gender Differences in the Use and Benefit of Advanced Learning Technologies for Mathematics
ERIC Educational Resources Information Center
Arroyo, Ivon; Burleson, Winslow; Tai, Minghui; Muldner, Kasia; Woolf, Beverly Park
2013-01-01
We provide evidence of persistent gender effects for students using advanced adaptive technology while learning mathematics. This technology improves each gender's learning and affective predispositions toward mathematics, but specific features in the software help either female or male students. Gender differences were seen in the students' style…
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…
ERIC Educational Resources Information Center
Nabb, Keith A.
2013-01-01
The research literature has made calls for greater coherence and consistency with regard to the meaning and use of the term advanced mathematical thinking (AMT) in mathematics education (Artigue, Batanero, & Kent, 2007; Selden & Selden, 2005). Educators and researchers agree that students should be engaged in AMT but it is unclear…
Origins of the brain networks for advanced mathematics in expert mathematicians.
Amalric, Marie; Dehaene, Stanislas
2016-05-01
The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit. PMID:27071124
Origins of the brain networks for advanced mathematics in expert mathematicians
Amalric, Marie; Dehaene, Stanislas
2016-01-01
The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit. PMID:27071124
Origins of the brain networks for advanced mathematics in expert mathematicians.
Amalric, Marie; Dehaene, Stanislas
2016-05-01
The origins of human abilities for mathematics are debated: Some theories suggest that they are founded upon evolutionarily ancient brain circuits for number and space and others that they are grounded in language competence. To evaluate what brain systems underlie higher mathematics, we scanned professional mathematicians and mathematically naive subjects of equal academic standing as they evaluated the truth of advanced mathematical and nonmathematical statements. In professional mathematicians only, mathematical statements, whether in algebra, analysis, topology or geometry, activated a reproducible set of bilateral frontal, Intraparietal, and ventrolateral temporal regions. Crucially, these activations spared areas related to language and to general-knowledge semantics. Rather, mathematical judgments were related to an amplification of brain activity at sites that are activated by numbers and formulas in nonmathematicians, with a corresponding reduction in nearby face responses. The evidence suggests that high-level mathematical expertise and basic number sense share common roots in a nonlinguistic brain circuit.
NASA Astrophysics Data System (ADS)
Ganikhodjaev, Nasir; Mukhamedov, Farrukh; Hee, Pah Chin
2013-04-01
The 4th International Conference on the Advancement of Science and Technology 2012 (iCAST 2012), with theme 'Contemporary Mathematics, Mathematical Physics and their Applications', took place in Kuantan, Malaysia, from Wednesday 7 to Friday 9 November 2012. The conference was attended by more than 100 participants, and hosted about 160 oral and poster papers by more than 140 pre-registered authors. The key topics of the 4th iCAST 2012 include Pure Mathematics, Applied Mathematics, Theoretical/Mathematical Physics, Dynamical Systems, Statistics and Financial Mathematics. The scientific program was rather full since after the Keynote and Invited Talks in the morning, four parallel sessions ran every day. However, according to all attendees, the program was excellent with a high level of talks and the scientific environment was fruitful; thus all attendees had a creative time. The conference aimed to promote the knowledge and development of high-quality research in mathematical fields concerned with the application of other scientific fields as well as modern technological trends in physics, chemistry, biology, medicine, economics, sociology and environmental sciences. We would like to thank the Keynote and the Invited Speakers for their significant contributions to 4th iCAST 2012. We would also like to thank the members of the International Scientific Committee and the members of the Organizing Committee. We cannot end without expressing our many thanks to International Islamic University Malaysia and our sponsors for their financial support . This volume presents selected papers which have been peer-reviewed. The editors hope that it may be useful and fruitful for scholars, researchers, and advanced technical members of the industrial laboratory facilities for developing new tools and products. Guest Editors Nasir Ganikhodjaev, Farrukh Mukhamedov and Pah Chin Hee The PDF contains the committee lists, board list and biographies of the plenary speakers.
ERIC Educational Resources Information Center
O'Brien, Peter; Richardson, Arthur
This study focused on the way mathematics was taught in selected primary school classrooms. The study involved the observation of 21 fourth-grade classes in eight schools over a two-week period. Results indicated a hiatus between what was taught and what should be taught and between how mathematics is taught and how it should be taught.…
ERIC Educational Resources Information Center
Parks, Amy Noelle
2015-01-01
This article reports on a literature review of 49 articles that cited a single monograph East Lansing written in 1981 about early learning in mathematics to make claims of similarity or difference across lines of race and class in early mathematics. The review found that while about two-thirds of the articles cited the monograph to make claims of…
Whole-class interactions and code-switching in secondary mathematics teaching in Mauritius
NASA Astrophysics Data System (ADS)
Salehmohamed, Asifa; Rowland, Tim
2014-09-01
This paper reports a study of whole-class interactions in mathematics classrooms in a girls' secondary school in Mauritius. It focuses on three teachers and their instructional language practices. Analysis of audio-recordings of lessons showed that code-switching was commonly practised by all the teachers in the study. The teachers' comments on their use of language within the classroom show that although they are aware of the languages they use, they are not always conscious of their code-switching. Different functions of the teachers' code-switching practices were identified, indicating it can be an important support for learning mathematics, despite some related tensions that teachers face in using code-switch in their teaching. The paper concludes with some implications for national policy and for teacher education.
Advanced Mathematics. Training Module 1.303.3.77.
ERIC Educational Resources Information Center
Kirkwood Community Coll., Cedar Rapids, IA.
This document is an instructional module prepared in objective form for use by an instructor familiar with mathematics as applied to water and wastewater treatment plant operation. Included are objectives, instructor guides and student handouts. This is the third level of a three module series and is concerned with statistics, total head, steady…
ERIC Educational Resources Information Center
Pierre-Louis, Fred
2010-01-01
The purpose of this study was to describe Markdale High School's change from separate college preparatory and general level classes to heterogeneously-grouped classes in English, mathematics, science, and social studies, with particular emphasis on the principal's leadership style, change process, and teacher concerns (Hall & Hord, 2006)…
Block Scheduling and Advanced Placement Mathematics: When Tradition and Reform Collide.
ERIC Educational Resources Information Center
Howard, Elizabeth
1997-01-01
This case study reflects block scheduling's effects on advanced-placement mathematics courses of one veteran teacher tracking personal progress since 1989. Block scheduling began in 1994, creating problems for the teacher, whose resistance to the reform was based on declining advanced-placement scores. Teacher attitude and insufficient…
The Influence of Applied STEM Coursetaking on Advanced Mathematics and Science Coursetaking
ERIC Educational Resources Information Center
Gottfried, Michael A.
2015-01-01
Advanced mathematics and science course taking is critical in building the foundation for students to advance through the STEM pathway-from high school to college to career. To invigorate students' persistence in STEM fields, high schools have been introducing applied STEM courses into the curriculum as a way to reinforce concepts learned in…
Innovations in Science and Mathematics Education: Advanced Designs for Technologies of Learning.
ERIC Educational Resources Information Center
Jacobson, Michael J., Ed.; Kozma, Robert B., Ed.
This collection of essays consists of current work that addresses the challenge not just to put the newest technologies in schools, but to identify advanced ways to design and use these new technologies to advance learning. These essays are intended for science and mathematics educators, educational and cognitive researchers, instructional…
Using the Common Core State Standards for Mathematics with Gifted and Advanced Learners
ERIC Educational Resources Information Center
Johnsen, Susan K., Ed.; Sheffield, Linda J., Ed.
2012-01-01
"Using the Common Core State Standards for Mathematics With Gifted and Advanced Learners" provides teachers and administrators examples and strategies to implement the new Common Core State Standards (CCSS) with advanced learners at all stages of development in K-12 schools. The book describes--and demonstrates with specific examples from the…
Development of next generation 1500C class advanced combustion turbines
Aoki, S.; Tskuda, Y.; Akita, E.; Tomita, Y.
1998-07-01
The full load test run of the 501G combustion turbine has just finished at Takasago combined cycle plant in MHI, Japan. The 501G has power output of 230MW at turbine inlet temperature of 1,500 C and can achieve combined net efficiency of 52%. The NO{sub x} level proved to be less than 25 ppm. The 501G and 701G1 combustion turbines are large heavy-duty single shaft combustion turbines which combine the proven reliability and efficiency of the F series with the latest low NO{sub x} combustion technology and the state-of-the-art cooling technique. As the full load test run has proved, it is a highly advanced designed turbine with documented high temperature, low NO{sub x} and high efficiency. This combined with time proven design concepts has created a new powerful combustion turbine, which will satisfy the large combustion turbine power generation needs for the next decades. The 501G turbine is the 60Hz, 3,600 rpm heavy duty combustion turbine rated at 230MW at a turbine inlet of 1,500 C fired on natural gas fuel. The combined cycle net efficiency is 58%. Verification tests for various components have been conducted through the last 3 years and since February '97 a full scale-full load test is being performed to verify the high performance, reliability and maintainability. The 701G1 is a 3,000 rpm combustion turbine designed for the 50 Hz power generation utilities and industrial service. The first 701G1 gas turbine is expected to begin commercial operation in 1999 in Tohoku Electric Power Co. Higashi Nilgata Power Plant No.4, in Japan. This paper describes the features of the next generation 1,500 C class advanced combustion turbines. Aerodynamic, cooling and mechanical design improvement is discussed along with the evolutionary changes based on time proven design concepts.
Thoren, Katharina; Heinig, Elisa; Brunner, Martin
2016-01-01
A child's age in comparison to the age of her or his classmates (relative age) has been found to be an influential factor on academic achievement, particularly but not exclusively at the beginning of formal schooling. However, few studies have focused on the generalizability of relative age effects. To close this gap, the present study analyzes the generalizability across students with and without immigrant backgrounds, across three student cohorts that entered school under a changing law of school enrollment, and across classes. To this end, we capitalized on representative large-scale data sets from three student cohorts attending public schools in Berlin, the capital of Germany. We analyzed the data using a multilevel framework. Our results for the overall student sample indicate relative age effects for reading and mathematics in favor of the relatively older students in Grade 2 that become somewhat smaller in size in Grade 3. By Grade 8, relative age effects had vanished in reading and had even reversed in favor of the relatively young in mathematics. Furthermore, relative age effects were not found to be systematically different among students with and without immigrant backgrounds, student cohorts, or across classes. Taken together, these results empirically underscore the broad generalizability of the findings as found for the overall student population and replicate the pattern of findings on relative effects as identified by the majority of previous studies. PMID:27242593
Thoren, Katharina; Heinig, Elisa; Brunner, Martin
2016-01-01
A child's age in comparison to the age of her or his classmates (relative age) has been found to be an influential factor on academic achievement, particularly but not exclusively at the beginning of formal schooling. However, few studies have focused on the generalizability of relative age effects. To close this gap, the present study analyzes the generalizability across students with and without immigrant backgrounds, across three student cohorts that entered school under a changing law of school enrollment, and across classes. To this end, we capitalized on representative large-scale data sets from three student cohorts attending public schools in Berlin, the capital of Germany. We analyzed the data using a multilevel framework. Our results for the overall student sample indicate relative age effects for reading and mathematics in favor of the relatively older students in Grade 2 that become somewhat smaller in size in Grade 3. By Grade 8, relative age effects had vanished in reading and had even reversed in favor of the relatively young in mathematics. Furthermore, relative age effects were not found to be systematically different among students with and without immigrant backgrounds, student cohorts, or across classes. Taken together, these results empirically underscore the broad generalizability of the findings as found for the overall student population and replicate the pattern of findings on relative effects as identified by the majority of previous studies.
Thoren, Katharina; Heinig, Elisa; Brunner, Martin
2016-01-01
A child's age in comparison to the age of her or his classmates (relative age) has been found to be an influential factor on academic achievement, particularly but not exclusively at the beginning of formal schooling. However, few studies have focused on the generalizability of relative age effects. To close this gap, the present study analyzes the generalizability across students with and without immigrant backgrounds, across three student cohorts that entered school under a changing law of school enrollment, and across classes. To this end, we capitalized on representative large-scale data sets from three student cohorts attending public schools in Berlin, the capital of Germany. We analyzed the data using a multilevel framework. Our results for the overall student sample indicate relative age effects for reading and mathematics in favor of the relatively older students in Grade 2 that become somewhat smaller in size in Grade 3. By Grade 8, relative age effects had vanished in reading and had even reversed in favor of the relatively young in mathematics. Furthermore, relative age effects were not found to be systematically different among students with and without immigrant backgrounds, student cohorts, or across classes. Taken together, these results empirically underscore the broad generalizability of the findings as found for the overall student population and replicate the pattern of findings on relative effects as identified by the majority of previous studies. PMID:27242593
Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi
2016-09-01
Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. (PsycINFO Database Record
2016-01-01
Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. PMID:26913930
Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi
2016-09-01
Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic number line task, which required mapping positive and negative numbers on a physical horizontal line, and has been shown to correlate with more advanced numerical abilities and mathematical achievement. We found that mathematicians were more accurate compared with nonmathematicians when mapping positive, but not negative numbers, which are considered numerical primitives and cultural artifacts, respectively. Moreover, performance on positive number mapping could predict whether one is a mathematician or not, and was mediated by more advanced mathematical skills. This finding might suggest a link between basic and advanced mathematical skills. However, when we included visuospatial skills, as measured by block design subtest, the mediation analysis revealed that the relation between the performance in the number line task and the group membership was explained by non-numerical visuospatial skills. These results demonstrate that relation between basic, even specific, numerical skills and advanced mathematical achievement can be artifactual and explained by visuospatial processing. (PsycINFO Database Record PMID:26913930
ERIC Educational Resources Information Center
Stohlmann, Micah Stephen
2012-01-01
This case study explored the impact of a standards-based mathematics and pedagogy class on preservice elementary teachers' beliefs and conceptual subject matter knowledge of linear functions. The framework for the standards-based mathematics and pedagogy class in this study involved the National Council of Teachers of Mathematics Standards,…
Advanced Reduction Processes: A New Class of Treatment Processes
Vellanki, Bhanu Prakash; Batchelor, Bill; Abdel-Wahab, Ahmed
2013-01-01
Abstract A new class of treatment processes called advanced reduction processes (ARPs) is proposed. ARPs combine activation methods and reducing agents to form highly reactive reducing radicals that degrade oxidized contaminants. Batch screening experiments were conducted to identify effective ARPs by applying several combinations of activation methods (ultraviolet light, ultrasound, electron beam, and microwaves) and reducing agents (dithionite, sulfite, ferrous iron, and sulfide) to degradation of four target contaminants (perchlorate, nitrate, perfluorooctanoic acid, and 2,4 dichlorophenol) at three pH-levels (2.4, 7.0, and 11.2). These experiments identified the combination of sulfite activated by ultraviolet light produced by a low-pressure mercury vapor lamp (UV-L) as an effective ARP. More detailed kinetic experiments were conducted with nitrate and perchlorate as target compounds, and nitrate was found to degrade more rapidly than perchlorate. Effectiveness of the UV-L/sulfite treatment process improved with increasing pH for both perchlorate and nitrate. We present the theory behind ARPs, identify potential ARPs, demonstrate their effectiveness against a wide range of contaminants, and provide basic experimental evidence in support of the fundamental hypothesis for ARP, namely, that activation methods can be applied to reductants to form reducing radicals that degrade oxidized contaminants. This article provides an introduction to ARPs along with sufficient data to identify potentially effective ARPs and the target compounds these ARPs will be most effective in destroying. Further research will provide a detailed analysis of degradation kinetics and the mechanisms of contaminant destruction in an ARP. PMID:23840160
Looking Back on Lessons Learned: Gifted Adults Reflect on Their Experiences in Advanced Classes
ERIC Educational Resources Information Center
Perrone, Kristin M.; Wright, Stephen L.; Ksiazak, Tracy M.; Crane, Amy L.; Vannatter, Aarika
2010-01-01
The purpose of this study was to learn about gifted adults' experiences in advanced classes and attitudes about advanced classes or gifted programs for their children. Participants were 88 adults (33 men and 55 women) who have been participating in a longitudinal study of academically talented individuals since their high-school graduation in…
ERIC Educational Resources Information Center
Lin, Su-Wei; Tai, Wen-Chun
2015-01-01
This study investigated how various mathematics learning strategies affect the mathematical literacy of students. The data for this study were obtained from the 2012 Programme for International Student Assessment (PISA) data of Taiwan. The PISA learning strategy survey contains three types of learning strategies: elaboration, control, and…
Advanced Placement Mathematics Calculus, Grade 12 Curriculum Guide.
ERIC Educational Resources Information Center
Scharf, John; And Others
This document is a guide to the advanced placement program in calculus for grade 12 in the city schools in Warren, Ohio. The program covers analytic geometry, differential and integral calculus of algebraic functions, elementary transcendental functions, and applications of differentiation and integration. The philosophy and aims of the program…
ERIC Educational Resources Information Center
Subotnik, Rena F.; Strauss, Shiela M.
1995-01-01
Despite scoring lower on the mathematics Scholastic Assessment Test (SAT-M) prior to taking an advanced placement calculus course, female students (n=85) scored as well as males (n=51) on the Advanced Placement BC level calculus test. Predictors of AP scores were: first, scores on the Calculus Readiness Test; second, scores on the SAT-M; and…
Mathematics Problem Solving: A More Advanced Skill for Chapter 1. Workshop Leader's Guide.
ERIC Educational Resources Information Center
Advanced Technology, Inc., Indianapolis, IN.
This guide is designed to assist inservice providers in conducting successful workshops for teachers, administrators, and others associated with Chapter 1 mathematics programs. It contains step-by-step procedures for preparing, organizing, and presenting the workshop. Included in this guide are: (1) an advanced planner, which includes a detailed…
Student Learning in Linear Algebra: The Gateways To Advance Mathematical Thinking Project.
ERIC Educational Resources Information Center
Manes, Michelle
This document provides a preliminary report of the study Gateways To Advance Mathematical Thinking (GAMT) run by Educational Development Center, Inc. (EDC). The study was designed to see what types of reasoning students who have recently completed a linear algebra course apply to problems in algebraic thinking. Student interviews were used as the…
ERIC Educational Resources Information Center
Davis, Cinda-Sue; And Others
This volume includes 10 reports that present findings and recommendations for advancing women in science, mathematics and engineering. Critical issues facing women in these disciplines are addressed, including demographic myths and realities at various educational levels; the educational pipeline for girls and women; involvement in education and…
ERIC Educational Resources Information Center
DePountis, Vicki M.; Pogrund, Rona L.; Griffin-Shirley, Nora; Lan, William Y.
2015-01-01
This research examined the perspectives of teachers of students with visual impairments (TVIs) regarding the use and effectiveness of electronic assistive technology (EAT) purported to assist students who are blind in advanced mathematics subjects. The data for this study were collected via an online survey distributed to a convenience sample of…
ERIC Educational Resources Information Center
Niess, Margaret; Gillow-Wiles, Henry
2013-01-01
This primarily online Master's degree program focused on advancing K-8 teachers' interdisciplinary mathematical and science content knowledge while integrating appropriate digital technologies as learning and teaching tools. The mixed-method, interpretive study examined in-service teachers' technological, pedagogical, and content knowledge (TPACK)…
A Study of Mathematics Infusion in Middle School Technology Education Classes
ERIC Educational Resources Information Center
Burghardt, M. David; Hecht, Deborah; Russo, Maria; Lauckhardt, James; Hacker, Michael
2010-01-01
The present study examined the impact of introducing a mathematics infused engineering/technology education (ETE) curriculum on students' mathematics content knowledge and attitudes toward mathematics. The purpose of the present study was to: (a) compare the effects of a mathematics infused ETE curriculum and a control curriculum on student…
ERIC Educational Resources Information Center
de Kock, Willem D.; Harskamp, Egbert G.
2014-01-01
Teachers in primary education experience difficulties in teaching word problem solving in their mathematics classes. However, during controlled experiments with a metacognitive computer programme, students' problem-solving skills improved. Also without the supervision of researchers, metacognitive computer programmes can be beneficial in a…
ERIC Educational Resources Information Center
Panitz, Theodore
This paper describes one approach to implementing cooperative learning in mathematics classes virtually 100% of the time. By describing this maximum approach, it is hoped that teachers will be encouraged to try cooperative learning at least part of the time in their classrooms. Cooperative learning activities help identify widespread student…
ERIC Educational Resources Information Center
Lawrenz, Frances; Gravely, Amy; Ooms, Ann
2006-01-01
Use of technology in science and mathematics classes has been increasing, but there are differences in the amount of use of and students' perceptions of its helpfulness across grade levels and subject areas. Technology was reported as used only occasionally. Technology was used most often to understand or explore in more depth concepts taught in…
NASA Astrophysics Data System (ADS)
Rule, Audrey C.; Stefanich, Greg P.; Boody, Robert M.; Peiffer, Belinda
2011-04-01
Science, technology, engineering, and mathematics (STEM) fields, important in today's world, are underrepresented by students with disabilities. Students with visual impairments, although cognitively similar to sighted peers, face challenges as STEM subjects are often taught using visuals. They need alternative forms of access such as enlarged or audio-converted text, tactile graphics, and involvement in hands-on science. This project focused on increasing teacher awareness of and providing funds for the purchase of supplemental adaptive resources, supplies, and equipment. We examined attitude and instructional changes across the year of the programme in 15 science and mathematics teachers educating students with visual impairments. Positive changes were noted from pretest to posttest in student and teacher perspectives, and in teacher attitudes towards students with disabilities in STEM classes. Teachers also provided insights into their challenges and successes through a reflective narrative. Several adolescent students resisted accommodations to avoid appearing conspicuous to peers. Teachers implemented three strategies to address this: providing the adaptations to all students in the class; convincing the student of the need for adaptation; and involving the class in understanding and accepting the student's impairment. A variety of teacher-created adaptations for various science and mathematics labs are reported. Another finding was many adaptations provided for the student with visual impairment benefitted the entire class. This study supports the claim that given knowledgeable, supportive teachers, and with appropriate accommodations such as tactile or auditory materials, students with visual impairments can be as successful and engaged as other students in science and mathematics.
White, Ronald J
2016-09-01
A class of steady-state compartmental models of the circulation is examined and it is shown that the mathematical problem for this model class involves a single nonlinear equation. In an important subclass and with certain assumptions regarding the form of the Starling-type cardiac function curves, the single equation is of the form Z = μ + λ log[(1 - Z)/Z] where μ and λ are mathematical parameters related to the physiological parameters of the system and Z is proportional to the cardiac output. This result holds regardless of the number and arrangement of compartments within the model itself or of the number of physiological parameters the model contains. An example of this class with 25 physiological parameters is presented to illustrate this approach. PMID:27587712
ERIC Educational Resources Information Center
Bray, Wendy S.
2011-01-01
This collective case study examines the influence of 4 third-grade teachers' beliefs and knowledge on their error-handling practices during class discussion of mathematics. Study findings suggest that, although teachers' ways of handling student errors during class discussion of mathematics are clearly linked to both teacher beliefs and teacher…
Teacher-Student Interpersonal Behavior in Secondary Mathematics Classes in Indonesia
ERIC Educational Resources Information Center
Maulana, Ridwan; Opdenakker, Marie-Christine; den Brok, Perry; Bosker, Roel J.
2012-01-01
This study is aimed at describing profiles of interpersonal behavior of Indonesian mathematics teachers and examining associations between students' perceptions of their mathematics teachers' interpersonal behavior and their motivation in learning mathematics. Data were collected with the Indonesian version of the Questionnaire on Teacher…
Perceptions that May Affect Teachers' Intention to Use Technology in Secondary Mathematics Classes
ERIC Educational Resources Information Center
Pierce, Robyn; Ball, Lynda
2009-01-01
Technology is available and accessible in many mathematics classrooms. Adopting technology to support teaching and learning requires teachers to change their teaching practices. This paper reports the responses of a diverse cohort of 92 secondary mathematics teachers who chose to respond to an Australian state-wide survey (Mathematics with…
Incorporating Race, Gender, and Class Issues into a Critical Mathematical Literacy Curriculum.
ERIC Educational Resources Information Center
Frankenstein, Marilyn
1990-01-01
A critical curriculum promoting mathematical literacy can be effective in involving more people of color in mathematics and science fields. A program that conveys the relevance of mathematics and statistical knowledge can be politically and socially empowering. Describes how ethnomathematics challenges the Eurocentric dichotomy between practical…
The Effect of Manipulatives on Achievement Scores in the Middle School Mathematics Class
ERIC Educational Resources Information Center
Doias, Elaine D.
2013-01-01
When applied to mathematics education, manipulatives help students to visualize mathematical concepts and apply them to everyday situations. Interest in mathematics instruction has increased dramatically over the past two decades with the introduction of virtual manipulatives, as opposed to the concrete manipulatives that have been employed for…
A Critical Race Analysis of Advanced Placement Classes: A Case of Educational Inequality.
ERIC Educational Resources Information Center
Solorzano, Daniel G.; Ornelas, Armida
2002-01-01
A study examined Chicano/Latino access to advanced placement (AP) high school classes. Data from a large California school district indicate that Latinos are underrepresented in AP classes; schools that serve urban, low-income, Latino/a communities have low AP enrollment; and even when they attend high schools with high AP enrollment, Latinos are…
ERIC Educational Resources Information Center
Peak, David J.
2010-01-01
Improving student achievement in mathematics in secondary schools remains a priority for public education in our country. With continued federal and state mandates to improve overall student achievement in mathematics, as well as to close the achievement gap, many school districts have sought programs, such as Advancement Via Individual…
ERIC Educational Resources Information Center
Githua, Bernard N.; Nyabwa, Rachel Angela
2008-01-01
Students have continued to perform poorly in KCSE examinations in certain mathematics topics taught in secondary schools in Kenya. One such topic is commercial arithmetic. Successful teaching of mathematics depends partly on correct use of teaching methods in classroom settings. This study sought to examine how the use of advance organisers during…
The Impact of an Online Component in a Face-to-Face Community College Mathematics Class
ERIC Educational Resources Information Center
Dawson, Caroline
2013-01-01
A recent trend in the traditional mathematics classroom is the use of online homework systems. Where traditional homework problems are retrieved from a textbook, online homework systems provide problems online and permit students to interact with the system in order to complete homework assignments. Mathematics instructors who use or who wish to…
ERIC Educational Resources Information Center
Fuller, Edgar; Deshler, Jessica M.; Kuhn, Betsy; Squire, Douglas
2014-01-01
In 2007 the Department of Mathematics at our institution began developing a placement process designed to identify at-risk students entering mathematics courses at the College Algebra and Calculus levels. Major changes in our placement testing process and the resulting interventions for at-risk students were put in place in Fall of 2008. At the…
Historical Research: How to Fit Minority and Women's Studies into Mathematics Class
ERIC Educational Resources Information Center
Saraco, Margaret R.
2008-01-01
This article presents a lesson for studying minority and women's contributions to the field of mathematics in the middle school classroom. This lesson may be able to stem the tide of the shrinking number of students entering the field of mathematics by helping them become interested in its history. Nonetheless, this project encourages students to…
Effectiveness of Variations in Collaborative Cooperative Learning in RDS Mathematics Classes.
ERIC Educational Resources Information Center
Harding, R. Frederick; Fletcher, Richard K., Jr.
Alarming questions are being asked of the teaching methods in present use. Are we maximizing the time on task in the classroom? Students (n=98) in a remedial mathematics course were studied for one semester and students (n=56) from a developmental mathematics course were studied in the second semester, at Tennessee Technological University.…
The Problem Is the Solution: Creating Original Problems in Gifted Mathematics Classes
ERIC Educational Resources Information Center
Matsko, Vince; Thomas, Jerald
2014-01-01
The purpose of this exploratory study was to assess the effect of a novel approach to mathematics instruction on gifted high school students' engagement, motivation, and metacognition. Participants in this study included gifted students who were enrolled in a 3-year, residential, specialized mathematics and science high school. Rather than…
Geometry Students' Self-Determination and Their Engagement in Mathematical Whole Class Discussion
ERIC Educational Resources Information Center
Kosko, Karl W.
2015-01-01
Prevalent characteristics of effective mathematical discourse in the literature include student autonomy, a positive social environment, and a degree of perceived mathematical competence. These characteristics are also found in Self-Determination Theory (SDT), which posits that actions are self-regulated when students' autonomy, competence, and…
ERIC Educational Resources Information Center
Stathopoulou, Charoula; Kalabasis, Fragiskos
2007-01-01
This communication discusses an aspect of language and culture that informs the identity of a group of Romany students as they learn mathematics. Observations were made by the authors in a multicultural community in Athens. We explore how Romany language roles and features significantly affect the teaching and learning of mathematics. As examples,…
Schissel, D.P.
1996-08-01
This report discusses advancing precollege science and mathematics education in San Diego Count. Described in this report are: curriculum and teacher development; pre-tour material; facility tour; student workbook; evaluation and assessment; and internet access.
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…
ERIC Educational Resources Information Center
Adler, Jill; Setati, Mamokgethi
2005-01-01
In his article, A class act -- Mathematics as filter of equity in South African schools, Michael Kahn analyses South African data from matriculation examinations and draws on and re-examines previous analyses he himself has done. This document highlights the important insights into participation and performance in mathematics in South Africa that…
NASA Astrophysics Data System (ADS)
Ganguly, Sujoy; Liang, Xin; Grace, Michael; Lee, Daniel; Howard, Jonathon
The morphology of neurons is diverse and reflects the diversity of neuronal functions, yet the principles that govern neuronal morphogenesis are unclear. In an effort to better understand neuronal morphogenesis we will be focusing on the development of the dendrites of class IV sensory neuron in Drosophila melanogaster. In particular we attempt to determine how the the total length, and the number of branches of dendrites are mathematically related to the dynamics of neurite growth and branching. By imaging class IV neurons during early embryogenesis we are able to measure the change in neurite length l (t) as a function of time v (t) = dl / dt . We found that the distribution of v (t) is well characterized by a hyperbolic secant distribution, and that the addition of new branches per unit time is well described by a Poisson process. Combining these measurements with the assumption that branching occurs with equal probability anywhere along the dendrite we were able to construct a mathematical model that provides reasonable agreement with the observed number of branches, and total length of the dendrites of the class IV sensory neuron.
ERIC Educational Resources Information Center
Navarro, Maria V.
2016-01-01
This memorandum describes the Advanced Placement (AP) and International Baccalaureate (IB) exams participation and performance of 2013 to 2015 public school graduates in Montgomery County Public Schools (MCPS) and the state of Maryland. The results are disaggregated by demographics and high schools. Students in the MCPS Class of 2015 continued to…
ERIC Educational Resources Information Center
Bell, Mozelle Sawyer; Arribas, E. Jaime
This Spanish ecology packet contains resource units and materials for intermediate and advanced Spanish classes. It is designed to be used for individual and small-group instruction in the senior high school to supplement the Spanish language curriculum. Included are articles, pictures, and cartoons from Spanish-language newspapers and magazines…
ERIC Educational Resources Information Center
Valdivieso, Jorge
Spanish language training at the Thunderbird Graduate School of International Management is discussed, focusing on the instructional materials and classroom techniques used in advanced Spanish conversation classes. While traditional materials (dialogues, dictation, literature, mass media, video- and audiotapes) and learning activities (recitation,…
ERIC Educational Resources Information Center
Marks, Susan F.
2013-01-01
Students in the Montgomery County (Maryland) Public Schools (MCPS) Class of 2012 continued to outperform Maryland and the nation on Advanced Placement (AP) examinations based on the "AP Report to the Nation" released by the College Board on February 20, 2013. In 2012, 67.3 percent of MCPS graduates took one or more AP exams. A striking…
ERIC Educational Resources Information Center
Sanderson, Geoffrey T.
2015-01-01
Beginning in 2006, Maryland has led the nation as the state with the highest percentage of graduates who earned one or more Advanced Placement (AP) exam scores of 3 or higher. Students in the Montgomery County (Maryland) Public Schools (MCPS) Class of 2014 continued to outperform students in the state of Maryland on AP examinations based on AP…
ERIC Educational Resources Information Center
Sanderson, Geoffrey T.
2014-01-01
Beginning in 2006, Maryland has led the nation as the state with the highest percentage of graduates who earned one or more Advanced Placement (AP) exam scores of 3 or higher. Students in the Montgomery County Public Schools (MCPS) Class of 2013 continued to outperform students in the state of Maryland and the nation on AP examinations, based on…
Federal Register 2010, 2011, 2012, 2013, 2014
2013-09-06
... Regulations and two additional design criteria issued on September 2, 2003 (68 FR 56809). The regulation... 75 FR 32576. In conjunction with the expansion to Night-VFR operations intergrated avionic displays...: Advanced Avionics Under the Special Class (JAR-VLA) Regulations; Aquila Aviation by Excellence GmbH,...
Not Available
1990-12-01
The issue of global warming and related climatic changes from increasing concentrations of greenhouse gases in the atmosphere has received prominent attention during the past few years. The Computer Hardware, Advanced Mathematics, and Model Physics (CHAMMP) Climate Modeling Program is designed to contribute directly to this rapid improvement. The goal of the CHAMMP Climate Modeling Program is to develop, verify, and apply a new generation of climate models within a coordinated framework that incorporates the best available scientific and numerical approaches to represent physical, biogeochemical, and ecological processes, that fully utilizes the hardware and software capabilities of new computer architectures, that probes the limits of climate predictability, and finally that can be used to address the challenging problem of understanding the greenhouse climate issue through the ability of the models to simulate time-dependent climatic changes over extended times and with regional resolution.
Characterizing Instructor Gestures in a Lecture in a Proof-Based Mathematics Class
ERIC Educational Resources Information Center
Weinberg, Aaron; Fukawa-Connelly, Tim; Wiesner, Emilie
2015-01-01
Researchers have increasingly focused on how gestures in mathematics aid in thinking and communication. This paper builds on Arzarello's (2006) idea of a "semiotic bundle" and several frameworks for describing individual gestures and applies these ideas to a case study of an instructor's gestures in an undergraduate abstract algebra…
ERIC Educational Resources Information Center
Danielson, Christopher
2010-01-01
This paper describes the author's attempt to design assignments that engage preservice elementary teachers in original mathematical thinking. In particular, the choice of integer operations as the focus of a structured writing assignment that takes students two weeks to complete is explained and justified. Exemplary student work is quoted.…
ERIC Educational Resources Information Center
Southern Regional Education Board (SREB), 2010
2010-01-01
To help students meet higher standards, all academic and career/technical teachers need to be willing and prepared to use reading, writing and mathematics as tools for learning across the curriculum. To do so, they must have access to ongoing professional development, literacy and numeracy coaching, shared strategies, and teamwork to make literacy…
A Class Exercise to Teach Practical Considerations in Use of Mathematical Models.
ERIC Educational Resources Information Center
Mukherjee, Arup
2004-01-01
Students majoring in Management Information Systems (MIS) are required to take a course in Decision Support Systems (DSS) as part of their information systems core at this university. In a typical course on DSS, students are taught about use of mathematical models for solving large complex problems. They learn about the power, efficiency,…
ERIC Educational Resources Information Center
Hood, Otis D., Jr.
2012-01-01
National educational assessment organizations present statistical information that an achievement gap exists between White students and students of color. This achievement gap closely relates to students representing lower SES conditions. This study examined the lack of achievement for ethnic minorities in the field of mathematics using an…
Mathematical Modeling of Food Supply for Long Term Space Missions Using Advanced Life Support
NASA Technical Reports Server (NTRS)
Cruthirds, John E.
2003-01-01
A habitat for long duration missions which utilizes Advanced Life Support (ALS), the Bioregenerative Planetary Life Support Systems Test Complex (BIO-Plex), is currently being built at JSC. In this system all consumables will be recycled and reused. In support of this effort, a menu is being planned utilizing ALS crops that will meet nutritional and psychological requirements. The need exists in the food system to identify specific physical quantities that define life support systems from an analysis and modeling perspective. Once these quantities are defined, they need to be fed into a mathematical model that takes into consideration other systems in the BIO-Plex. This model, if successful, will be used to understand the impacts of changes in the food system on the other systems and vice versa. The Equivalent System Mass (ESM) metric has been used to describe systems and subsystems, including the food system options, in terms of the single parameter, mass. There is concern that this approach might not adequately address the important issues of food quality and psychological impact on crew morale of a supply of fiesh food items. In fact, the mass of food can also depend on the quality of the food. This summer faculty fellow project will involve creating an appropriate mathematical model for the food plan developed by the Food Processing System for BIO-Plex. The desired outcome of this work will be a quantitative model that can be applied to the various options of supplying food on long-term space missions.
ERIC Educational Resources Information Center
Hoadley, Ursula
2007-01-01
It has long been clear that the school reproduces social class differences. However, how this happens remains something of a black box. I set out to contribute to our understanding of schooling processes and the reproduction of inequality by focusing on pedagogy. I elaborate a technique for the analysis of classroom observation and student…
ERIC Educational Resources Information Center
Richardson, Sandra
2009-01-01
This article describes experiences from a professional development project designed to prepare in-service eighth-grade mathematics teachers to develop, explore, and advance technological pedagogical content knowledge (TPCK) in the teaching and learning of Algebra I. This article describes the process of the participating teachers' mathematical…
ERIC Educational Resources Information Center
DePountis, Vicki M.; Pogrund, Rona L.; Griffin-Shirley, Nora; Lan, William Y.
2015-01-01
Introduction: This research examined the perspectives of teachers of students who are visually impaired regarding the use and effectiveness of high-tech assistive technology purported to assist visually impaired students in advanced mathematics. Methods: The data for this study were collected via a mixed-methods online survey distributed through…
ERIC Educational Resources Information Center
Roschelle, Jeremy; Shechtman, Nicole; Tatar, Deborah; Hegedus, Stephen; Hopkins, Bill; Empson, Susan; Knudsen, Jennifer; Gallagher, Lawrence P.
2010-01-01
The authors present three studies (two randomized controlled experiments and one embedded quasi-experiment) designed to evaluate the impact of replacement units targeting student learning of advanced middle school mathematics. The studies evaluated the SimCalc approach, which integrates an interactive representational technology, paper curriculum,…
ERIC Educational Resources Information Center
Scarborough, Jule Dee
2004-01-01
This document (book) reports on the Strategic Alliance to Advance Technological Education through Enhanced Mathematics, Science, Technology, and English Education at the Secondary Level, funded by National Science Foundation. It was a collaborative partnership involving the Rockford Public Schools, Rock Valley College, and Northern Illinois…
ERIC Educational Resources Information Center
Aneckstein, Laura; Baird, Andrea; Butler, Margaret; Chambers, David; Johnson, Wanda; Kraus, Rebecca; Mann, Eric; Trost, Tami; Zalokar, Nadja; Zieseniss, Mireille
This report focuses on the Office for Civil Rights' (OCR's) activities relating to Title IX and advanced mathematics, science, and technology education for girls. It examines some of the barriers and inequities that undermine girls' opportunities to choose college majors and enter careers in the advanced mathematics, science, and technology…
NASA Astrophysics Data System (ADS)
Anggriani, N.; Supriatna, A. K.; Soewono, E.
2013-04-01
In this paper we formulate a model of dengue fever transmission by considering the presence of asymptomatic and symptomatic compartments. The model takes the form as a system of differential equations representing a host-vector SIR (Susceptible - Infective -Recovered) disease transmission. It is assumed that both host and vector populations are constant. It is also assumed that reinfection of recovered hosts by the disease is possible due to a wanning immunity in human body. We analyze the model to determine the qualitative behavior of the model solution and use the concept of effective basic reproduction number (fraktur Rp) as a control criteria of the disease transmission. The effect of mosquito biting protection (e.g. by using insect repellent) is also considered. We compute the long-term ratio of the asymptomatic and symptomatic classes and show a condition for which the iceberg phenomenon could appear.
NASA Astrophysics Data System (ADS)
Pierre-Louis, Fred
The purpose of this study was to describe Markdale High School's change from separate college preparatory and general level classes to heterogeneously-grouped classes in English, mathematics, science, and social studies, with particular emphasis on the principal's leadership style, change process, and teacher concerns (Hall & Hord, 2006) experienced during this effort. The researcher used Hall and Hord's (2006) Concern-Based Adoption Model (CBAM) as a conceptual framework. Specifically, the researcher applied three elements of the CBAM model: (a) the Twelve Principles of Change, (b) the Change Facilitator Styles, and (c) the Stages of Concerns. Hall and Hord's framework served as a lens through which the researcher analyzed all data. The researcher used a mixed-method (qualitative and quantitative) approach to answer the four research questions. The participants completed three instruments: (a) the Stages of Concern Questionnaire (SoCQ), (b) the Principles of Change Survey, and (c) the Facilitator Style Survey. All three instruments were self-report, paper-pencil surveys. The sample included 72 faculty members who experienced the change over the past three years. Findings from the three data sources and the school principal's comments during debriefing are indicated for each research question and reported by unit of analysis. Respective to the research questions, the researcher concluded that: (1) Markdale High School accomplished the change by implementing both structural and instructional changes supporting to the change to heterogeneous grouping; (2) even though teachers had divergent opinions on the school principal's facilitation style, the principal thought of himself as an incrementalist and a practitioner of differentiated facilitation styles; (3) while half of the faculty felt that they received formal training on heterogeneous grouping, (4) half felt that they did not have a choice in the decision-making process as it occurred with college preparatory and
Analyzing the Teaching of Advanced Mathematics Courses via the Enacted Example Space
ERIC Educational Resources Information Center
Fukawa-Connelly, Timothy Patrick; Newton, Charlene
2014-01-01
Examples are believed to be very important in developing conceptual understanding of mathematical ideas, useful both in mathematics research and instruction (Bills & Watson in "Educational Studies in Mathematics" 69:77-79, 2008; Mason & Watson, 2008; Bills & Tall, 1998; Tall & Vinner, 1981). In this study, we draw on the…
ERIC Educational Resources Information Center
Krutka, Daniel G.
2012-01-01
Prevalent models of secondary education in the United States have tended to privilege the acquisition of knowledge of scientific disciplines that is often peripheral to the experiences of students. My Advanced Placement Government classes were no different, and this caused me to wonder whether my classes were meeting the often-stated goal of the…
ERIC Educational Resources Information Center
Jackson, Colin; Povey, Hilary
2015-01-01
This paper reports on a small scale study in mathematics subject knowledge teaching in a secondary mathematics pre-service teacher education course. "Responsible" or "ambitious" pedagogies are adopted on the course. Accounts taken from a larger study are offered from four participants reflecting on their experiences of the…
ERIC Educational Resources Information Center
Wehde-Roddiger, Christina, Trevino, Rolando; Anderson, Pamela; Arrambide, Teresa; O'Conor, Juana; Onwuegbuzie, Anthony J.
2012-01-01
As high schools offer more pre-Advanced Placement (pre-AP) and Advanced Placement (AP) courses to prepare students for college academics, students often are given quality grade point average (GPA) points to help compensate for the rigorous curriculum. In states where class ranking determines automatic university admission, fluctuations of class…
ERIC Educational Resources Information Center
Howard, Lori A.; Potts, Elizabeth A.; Linz, Ed
2013-01-01
As the federal government encourages all students to attempt advanced math and science courses, more students with disabilities are enrolling in Advanced Placement (AP) science classes. AP science teachers can better serve these students by understanding the various types of disabilities (whether physical, learning, emotional, or behavioral),…
ERIC Educational Resources Information Center
Hansen-Thomas, Holly
2009-01-01
Traditionally, mathematics has been considered easy for English language learners (ELLs) due to the belief that math is a "universal language." At the same time, reform-oriented mathematics curricula, designed to promote mathematical discourse, are increasingly being adopted by schools serving large numbers of ELLs. CMP, the Connected Math…
ERIC Educational Resources Information Center
Sella, Francesco; Sader, Elie; Lolliot, Simon; Cohen Kadosh, Roi
2016-01-01
Recent studies have highlighted the potential role of basic numerical processing in the acquisition of numerical and mathematical competences. However, it is debated whether high-level numerical skills and mathematics depends specifically on basic numerical representations. In this study mathematicians and nonmathematicians performed a basic…
Students in Rural Schools Have Limited Access to Advanced Mathematics Courses. Issue Brief No. 7
ERIC Educational Resources Information Center
Graham, Suzanne E.
2009-01-01
This Carsey brief reveals that students in rural areas and small towns have less access to higher-level mathematics courses than students in urban settings, which results in serious educational consequences, including lower scores on assessment tests and fewer qualified students entering science, technology, engineering, and mathematics (STEM) job…
Black males' self-perceptions of academic ability and gifted potential in advanced science classes
NASA Astrophysics Data System (ADS)
Rascoe, Barbara Jean
The purpose of this study was to examine gifted Black males' self-perceptions of academic ability and gifted potential in science. Major concerns were to determine how these self-perceptions of academic ability and gifted potential influenced gifted Black males' capacity to compete in advanced science classes and to determine how science teachers may have influenced participants' self-perceptions of academic ability and gifted potential. This study required an approach that would allow an interpretive aspect for the experiences of gifted Black males in advanced science classes. An intrinsic qualitative case study design with a critical theory framework was used. Data were collected using semi-structured interviews, which were audiotaped and transcribed. Each participant was interviewed twice and each interview averaged 45 minutes. The purposeful sample consisted of nine gifted high school Black males between the ages of fourteen and eighteen. The constant comparative method was used to analyze the data. The categories of gifted Black males' self-perceptions of academic ability and gifted potential included gifted high achievers, gifted 'could do better' high achievers, gifted 'could do better' situational nonachievers, and gifted 'could do better' underachievers. Gifted Black male participants' perceptions regarding their science teachers' influence on their self-perceptions of academic ability and gifted potential included validation, reinforcement, and enhancement. These participants' perceptions regarding how science teachers' influenced their academic performance in science included science teachers' content knowledge, science teachers' skills to make science challenging and engaging, and a safe learning environment. The conclusions of this study described competing power dynamics of science teachers and gifted Black males' interactions in the science learning environment. The discussion also included a summary of relationships among the emergent themes
ERIC Educational Resources Information Center
Hillman, Thomas
2014-01-01
This article examines mathematical activity with digital technology by tracing it from its development through its use in classrooms. Drawing on material-semiotic approaches from the field of Science and Technology Studies, it examines the visions of mathematical activity that developers had for an advanced graphing calculator. It then follows the…
ERIC Educational Resources Information Center
Wood, William B.
2002-01-01
A recently released National Research Council (NRC) report, "Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools", evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study,…
ERIC Educational Resources Information Center
Kerr, Roberta
2014-01-01
The purpose of this study was to obtain an accurate picture of minority student enrollment in honors and advanced placement (AP) classes at Wichita (Kansas) High School East and to develop a plan of action to close the achievement gap between White and non-White students. Prior to this study there was no clear, concise data to move this discussion…
ERIC Educational Resources Information Center
Enoch, Sarah Elizabeth
2013-01-01
While professional developers have been encouraging teachers to plan for discourse around problem solving tasks as a way to orchestrate mathematically productive discourse (Stein, Engle, Smith, & Hughes, 2008; Stein, Smith, Henningsen, & Silver, 2009) no research has been conducted explicitly examining the relationship between the plans…
ERIC Educational Resources Information Center
Muir, Tracey; Geiger, Vince
2016-01-01
Teaching secondary mathematics has a number of challenges, including the expectations that teachers cover the prescribed curriculum, help students learn difficult concepts, prepare students for future studies, and, increasingly, that they do so incorporating digital technologies. This study investigates a teacher's, and his students', perceptions…
ERIC Educational Resources Information Center
Baker, Meryl S.
Instructors of 41 Navy electronics "C" courses were presented with a list of 70 mathematics skills and asked to indicate: (1) how important they were to successful course performance, and (2) whether required skills were prerequisite to, reviewed in, or taught in the course. Based on results obtained, a mathematical skills test was developed for…
Teaching Mathematical Modeling in Mathematics Education
ERIC Educational Resources Information Center
Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant
2016-01-01
Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…
ERIC Educational Resources Information Center
Putti, Alice
2011-01-01
This paper discusses student attitudes and beliefs on using the Science Writing Heuristic (SWH) in an advanced placement (AP) chemistry classroom. During the 2007 school year, the SWH was used in a class of 24 AP chemistry students. Using a Likert-type survey, student attitudes and beliefs on the process were determined. Methods for the study are…
NASA Astrophysics Data System (ADS)
Muir, Tracey; Geiger, Vince
2016-03-01
Teaching secondary mathematics has a number of challenges, including the expectations that teachers cover the prescribed curriculum, help students learn difficult concepts, prepare students for future studies, and, increasingly, that they do so incorporating digital technologies. This study investigates a teacher's, and his students', perceptions of the benefits or otherwise of a flipped classroom approach in meeting these challenges, within a prescribed curriculum context. Data collection instruments included a survey designed to investigate the nature of students' engagement with the flipped approach and semi-structured student and teacher interviews. Analysis of these data indicated that the teacher and students were positive about their experiences with a flipped classroom approach and that students were motivated to engage with the teacher-created online mathematics resources. The study adds to the limited research literature related to student and teacher perceptions of the affordances of the flipped classroom approach and has implications for secondary mathematics teachers who face the challenge of the twin demands of covering the prescribed curriculum and catering for a range of students' learning needs.
ERIC Educational Resources Information Center
Montiel, Mariana; Bhatti, Uzma
2010-01-01
This article presents an overview of some issues that were confronted when delivering an online second Linear Algebra course (assuming a previous Introductory Linear Algebra course) to graduate students enrolled in a Secondary Mathematics Education program. The focus is on performance in one particular aspect of the course: "change of basis" and…
Clickers and Classroom Voting in a Transition to Advanced Mathematics Course
ERIC Educational Resources Information Center
Lockard, Shannon R.; Metcalf, Rebecca C.
2015-01-01
Clickers and classroom voting are used across a number of disciplines in a variety of institutions. There are several papers that describe the use of clickers in mathematics classrooms such as precalculus, calculus, statistics, and even differential equations. This paper describes a method of incorporating clickers and classroom voting in a…
Learner-Centered Strategies and Advanced Mathematics: A Study of Students' Perspectives
ERIC Educational Resources Information Center
Ortiz-Robinson, Norma L.; Ellington, Aimee J.
2009-01-01
A number of learner-centered strategies were implemented during a two-semester course in real analysis that is traditionally taught in lecture format. We seek to understand the role that these strategies can have in this proof-intensive theoretical mathematics classroom and the perceived benefits by the students. Although learner-centered…
ERIC Educational Resources Information Center
Leddy, Mark H.
2010-01-01
Americans with disabilities are underemployed in science, technology, engineering and mathematics (STEM) at higher rates than their nondisabled peers. This article provides an overview of the National science Foundation's Research in Disabilities Education (RDE) program, of technology use by students with disabilities (SWD) in STEM, and of…
Wind-tunnel evaluation of an advanced main-rotor blade design for a utility-class helicopter
NASA Technical Reports Server (NTRS)
Yeager, William T., Jr.; Mantay, Wayne R.; Wilbur, Matthew L.; Cramer, Robert G., Jr.; Singleton, Jeffrey D.
1987-01-01
An investigation was conducted in the Langley Transonic Dynamics Tunnel to evaluate differences between an existing utility-class main-rotor blade and an advanced-design main-rotor blade. The two rotor blade designs were compared with regard to rotor performance oscillatory pitch-link loads, and 4-per-rev vertical fixed-system loads. Tests were conducted in hover and over a range of simulated full-scale gross weights and density altitude conditions at advance ratios from 0.15 to 0.40. Results indicate that the advanced blade design offers performance improvements over the baseline blade in both hover and forward flight. Pitch-link oscillatory loads for the baseline rotor were more sensitive to the test conditions than those of the advanced rotor. The 4-per-rev vertical fixed-system load produced by the advanced blade was larger than that produced by the baseline blade at all test conditions.
NASA Astrophysics Data System (ADS)
Perdigão, Rui A. P.
2016-04-01
The fundamental stochastic-dynamic coevolution laws governing complex coevolutionary systems are introduced in a mathematical physics framework formally unifying nonlinear stochastic physics with fundamental deterministic interaction laws among spatiotemporally distributed processes. The methodological developments are then used to shed light onto fundamental interactions underlying complex spatiotemporal behaviour and emergence in multiscale hydroclimate dynamics. For this purpose, a mathematical physics framework is presented predicting evolving distributions of hydrologic quantities under nonlinearly coevolving geophysical processes. The functional formulation is grounded on first principles regulating the dynamics of each system constituent and their interactions, therefore its applicability is general and data-independent, not requiring local calibrations. Moreover, it enables the dynamical estimation of hydroclimatic variations in space and time from knowledge at different spatiotemporal conditions, along with the associated uncertainties. This paves the way for a robust physically based prediction of hydroclimatic changes in unsupervised areas (e.g. ungauged basins). Validation is achieved by producing, with the mathematical physics framework, a comprehensive spatiotemporal legacy consistent with the observed distributions along with their statistic-dynamic relations. The similarity between simulated and observed distributions is further assessed with novel robust nonlinear information-theoretic diagnostics. The present study brings to light emerging signatures of structural change in hydroclimate dynamics arising from nonlinear synergies across multiple spatiotemporal scales, and contributes to a better dynamical understanding and prediction of spatiotemporal regimes, transitions, structural changes and extremes in complex coevolutionary systems. This study further sheds light onto a diversity of emerging properties from harmonic to hyper-chaotic in general
ERIC Educational Resources Information Center
Rozek, Christopher S.; Hyde, Janet S.; Svoboda, Ryan C.; Hulleman, Chris S.; Harackiewicz, Judith M.
2015-01-01
A foundation in science, technology, engineering, and mathematics (STEM) education is critical for students' college and career advancement, but many U.S. students fail to take advanced mathematics and science classes in high school. Research has neglected the potential role of parents in enhancing students' motivation for pursuing STEM courses.…
Accelerating Mathematics Achievement Using Heterogeneous Grouping
ERIC Educational Resources Information Center
Burris, Carol Corbett; Heubert, Jay P.; Levin, Henry M.
2006-01-01
This longitudinal study examined the effects of providing an accelerated mathematics curriculum in heterogeneously grouped middle school classes in a diverse suburban school district. A quasi-experimental cohort design was used to evaluate subsequent completion of advanced high school math courses as well as academic achievement. Results showed…
ERIC Educational Resources Information Center
Foote, Mary Q.; Bartell, Tonya Gau
2012-01-01
Through this performance ethnography the authors present the stories of emerging scholars who in their research identify an interest in equity issues in the field of mathematics education. The article is based on life-story interviews with 26 participants. Six composite characters were developed to represent the voices of the participants.…
ERIC Educational Resources Information Center
Skaalvik, Einar M.; Federici, Roger A.
2016-01-01
The purpose of this study was to test possible interactions between mastery and performance goal structures in mathematics classrooms when predicting students' goal orientations. More specifically, we tested if the degree of performance goal structure moderated the associations between mastery goal structure and students' goal orientations.…
ERIC Educational Resources Information Center
Coats, Johnnie Hugh
2013-01-01
High-stakes testing has become crucial in public education, requiring students to meet increasingly higher standards, regardless of their ability levels. This causal-comparative study sought to determine the effectiveness of an intervention mathematics course in the middle school setting for at-risk, sixth grade students. The Georgia Criterion…
ERIC Educational Resources Information Center
Valverde, Gilbert A.; Schmidt, William H.
2000-01-01
Explores expectations regarding about student performance in educational systems of high-achieving countries using data from the United States and 21 other high-achieving countries that participated in the Third International Mathematics and Science Study (TIMSS). Demonstrates that levels of standards relate to levels of student attainment in…
A Cross-Analysis of the Mathematics Teacher's Activity: An Example in a French 10th-Grade Class
ERIC Educational Resources Information Center
Robert, Aline; Rogalski, Janine
2005-01-01
The purpose of this paper is to contribute to the debate about how to tackle the issue of "the teacher in the teaching/learning process", and to propose a methodology for analysing the teacher's activity in the classroom, based on concepts used in the fields of the didactics of mathematics as well as in cognitive ergonomics. This methodology…
ERIC Educational Resources Information Center
Rule, Audrey C.; Stefanich, Greg P.; Boody, Robert M.; Peiffer, Belinda
2011-01-01
Science, technology, engineering, and mathematics (STEM) fields, important in today's world, are underrepresented by students with disabilities. Students with visual impairments, although cognitively similar to sighted peers, face challenges as STEM subjects are often taught using visuals. They need alternative forms of access such as enlarged or…
Oral History Project: Advanced ESL Class, Local 259 U.A.W. 1985-86.
ERIC Educational Resources Information Center
Colon, Maria, Comp.; And Others
A class project undertaken in an English-as-a-Second-Language class is described and presented. Students participating in the project were union employees in a Manhattan electronics factory, and most were native Spanish speakers. The project's objective was to produce an illustrated book and tapes to document work and union experience in the…
Evolution in Action, a Case Study Based Advanced Biology Class at Spelman College
ERIC Educational Resources Information Center
Pai, Aditi
2009-01-01
The Biology department at Spelman, a historically black women's college has undertaken a major curriculum revision in the last few years. A primary goal of this revision is to increase the breadth of topics in biology classes. Historically, classes in the areas of ecology and evolution have been underrepresented whereas Spelman has always offered…
NASA Astrophysics Data System (ADS)
Campbell, D. Michael
The lack of preparation, participation, and equal access of students in mathematics and the science education continues to afflict America's high school system (Ratliff, 2001). Additionally, gender and ethnic status have become significant factors as females and minority subgroups such as African Americans and Hispanics continue to be underrepresented in these two subject fields. Recognizing and understanding these trends is extremely important for the future of this country. As fewer minorities and females become involved in advanced mathematics and science curriculum there will be a continued lack of minorities and females in mathematics and science careers. Additionally, this insufficient representation leads to fewer numbers of females and minorities in industry and educational leadership positions in mathematics and science to promote participation and equality in these fields. According to Brainard and Carlin (2003) as trends currently stand, these two groups will be under-represented in the fields of math and science and will continue to be denied economic and social power. Thus, a better understanding of these trends in participation in mathematics and science among these groups of students is warranted. This study is intended to accomplish four objectives. The first objective is to identify the extent to which opportunities are increasing or decreasing for students in high schools taking mathematics and science Advanced Placement exams by examining six years of student testing data from the College Board. A second objective is to identify features of high schools that relate to greater expansion in Advanced Placement test taking for females and minority groups in the areas of both math and science. A third objective is to explore whether, and to what extent, any social or educational features such as economic status, regional school and living locations, and ethnic backgrounds have enhanced or reduced Advanced Placement testing in these schools. Lastly
The link between middle school mathematics course placement and achievement.
Domina, Thurston
2014-01-01
The proportion of eighth graders in United States public schools enrolled in algebra or a more advanced mathematics course doubled between 1990 and 2011. This article uses Early Childhood Longitudinal Study's Kindergarten Cohort data to consider the selection process into advanced middle school mathematics courses and estimate the effects of advanced courses on students' mathematics achievement (n = 6,425; mean age at eighth grade = 13.7). Eighth-grade algebra and geometry course placements are academically selective, but considerable between-school variation exists in students' odds of taking these advanced courses. While analyses indicate that advanced middle school mathematics courses boost student achievement, these effects are most pronounced in content areas closely related to class content and may be contingent on student academic readiness. PMID:24816044
The link between middle school mathematics course placement and achievement.
Domina, Thurston
2014-01-01
The proportion of eighth graders in United States public schools enrolled in algebra or a more advanced mathematics course doubled between 1990 and 2011. This article uses Early Childhood Longitudinal Study's Kindergarten Cohort data to consider the selection process into advanced middle school mathematics courses and estimate the effects of advanced courses on students' mathematics achievement (n = 6,425; mean age at eighth grade = 13.7). Eighth-grade algebra and geometry course placements are academically selective, but considerable between-school variation exists in students' odds of taking these advanced courses. While analyses indicate that advanced middle school mathematics courses boost student achievement, these effects are most pronounced in content areas closely related to class content and may be contingent on student academic readiness.
ERIC Educational Resources Information Center
Ruthven, Kenneth
2014-01-01
Reports from 13 Further Mathematics Knowledge Networks supported by the National Centre for Excellence in the Teaching of Mathematics [NCETM] are analysed. After summarizing basic characteristics of the networks regarding leadership, composition and pattern of activity, each of the following aspects is examined in greater depth: Developmental aims…
ERIC Educational Resources Information Center
Zack, Laurie; Fuselier, Jenny; Graham-Squire, Adam; Lamb, Ron; O'Hara, Karen
2015-01-01
Our study compared a flipped class with a standard lecture class in four introductory courses: finite mathematics, precalculus, business calculus, and calculus 1. The flipped sections watched video lectures outside of class and spent time in class actively working on problems. The traditional sections had lectures in class and did homework outside…
How can mathematical models advance tuberculosis control in high HIV prevalence settings?
Houben, R M G J; Dowdy, D W; Vassall, A; Cohen, T; Nicol, M P; Granich, R M; Shea, J E; Eckhoff, P; Dye, C; Kimerling, M E; White, R G
2014-05-01
Existing approaches to tuberculosis (TB) control have been no more than partially successful in areas with high human immunodeficiency virus (HIV) prevalence. In the context of increasingly constrained resources, mathematical modelling can augment understanding and support policy for implementing those strategies that are most likely to bring public health and economic benefits. In this paper, we present an overview of past and recent contributions of TB modelling in this key area, and suggest a way forward through a modelling research agenda that supports a more effective response to the TB-HIV epidemic, based on expert discussions at a meeting convened by the TB Modelling and Analysis Consortium. The research agenda identified high-priority areas for future modelling efforts, including 1) the difficult diagnosis and high mortality of TB-HIV; 2) the high risk of disease progression; 3) TB health systems in high HIV prevalence settings; 4) uncertainty in the natural progression of TB-HIV; and 5) combined interventions for TB-HIV. Efficient and rapid progress towards completion of this modelling agenda will require co-ordination between the modelling community and key stakeholders, including advocates, health policy makers, donors and national or regional finance officials. A continuing dialogue will ensure that new results are effectively communicated and new policy-relevant questions are addressed swiftly. PMID:24903784
ERIC Educational Resources Information Center
Ayers, Don; And Others
This study conducted a statistical analysis to look at the participation and achievement of Black, Hispanic, and female secondary education students in mathematics, science, and advanced technology programs in schools in Virginia, compared to those of White students and male students. In particular, the study applied descriptive and inferential…
ERIC Educational Resources Information Center
Poncy, Brian C.; Skinner, Christopher H.; McCallum, Elizabeth
2012-01-01
An adapted alternating treatments design was used to compare the effects of class-wide applications of Taped Problems (TP) and Cover, Copy, and Compare (CCC) procedures designed to enhance subtraction fact fluency in an intact third-grade classroom. During the TP procedure, a tape provided an auditory prompt (i.e., the problem), followed by a…
Yajima, Masahide; Asakawa, Yasuyoshi; Yamaguchi, Haruyasu
2016-01-01
[Purpose] The aim of this study was to clarify the relations of morale and physical function to the presence/absence of advanced activities of daily living. [Subjects] The subjects were 86 elderly community residents participating in health promotion classes. [Methods] A questionnaire survey on age, gender, presence/absence of advanced activities of daily living, and Philadelphia Geriatric Center Morale Scale score was conducted, in addition to assessment of fitness, consisting of measurement of height, body weight, grip and knee extensor muscle strength, functional reach, one-leg standing time, and Timed Up and Go test. Furthermore, multiple logistic regression analysis was performed with the presence/absence of advanced activities of daily living as a dependent variable. [Results] Grip strength and Timed Up and Go time were identified as variables influencing the presence/absence of advanced activities of daily living. [Conclusion] Physical function represented by grip strength and Timed Up and Go time was higher among subjects performing advanced activities of daily living. PMID:27065541
Yajima, Masahide; Asakawa, Yasuyoshi; Yamaguchi, Haruyasu
2016-01-01
[Purpose] The aim of this study was to clarify the relations of morale and physical function to the presence/absence of advanced activities of daily living. [Subjects] The subjects were 86 elderly community residents participating in health promotion classes. [Methods] A questionnaire survey on age, gender, presence/absence of advanced activities of daily living, and Philadelphia Geriatric Center Morale Scale score was conducted, in addition to assessment of fitness, consisting of measurement of height, body weight, grip and knee extensor muscle strength, functional reach, one-leg standing time, and Timed Up and Go test. Furthermore, multiple logistic regression analysis was performed with the presence/absence of advanced activities of daily living as a dependent variable. [Results] Grip strength and Timed Up and Go time were identified as variables influencing the presence/absence of advanced activities of daily living. [Conclusion] Physical function represented by grip strength and Timed Up and Go time was higher among subjects performing advanced activities of daily living.
Kavlock, R J
1997-01-01
During the last several years, significant changes in the risk assessment process for developmental toxicity of environmental contaminants have begun to emerge. The first of these changes is the development and beginning use of statistically based dose-response models [the benchmark dose (BMD) approach] that better utilize data derived from existing testing approaches. Accompanying this change is the greater emphasis placed on understanding and using mechanistic information to yield more accurate, reliable, and less uncertain risk assessments. The next stage in the evolution of risk assessment will be the use of biologically based dose-response (BBDR) models that begin to build into the statistically based models factors related to the underlying kinetic, biochemical, and/or physiologic processes perturbed by a toxicant. Such models are now emerging from several research laboratories. The introduction of quantitative models and the incorporation of biologic information into them has pointed to the need for even more sophisticated modifications for which we offer the term embryologically based dose-response (EBDR) models. Because these models would be based upon the understanding of normal morphogenesis, they represent a quantum leap in our thinking, but their complexity presents daunting challenges both to the developmental biologist and the developmental toxicologist. Implementation of these models will require extensive communication between developmental toxicologists, molecular embryologists, and biomathematicians. The remarkable progress in the understanding of mammalian embryonic development at the molecular level that has occurred over the last decade combined with advances in computing power and computational models should eventually enable these as yet hypothetical models to be brought into use.
ERIC Educational Resources Information Center
Wesp, Richard
1992-01-01
Reports on a study of peer teaching through small group instruction in a college level psychology program. Describes how upper level undergraduate students designed, implemented, and evaluated projects to teach psychology to introductory students. Finds that both the introductory and advanced students enjoyed the experience and recommended that…
DYANA - An advanced programming system for large classes of dynamic and equivalent systems
NASA Technical Reports Server (NTRS)
Mc Cormick, W. J.
1967-01-01
DYANA /dynamic analyzer/ is an advanced programming system which performs automatically the computing of a problem, as well as a major portion of the programming and analysis. The system is divided into time response and frequency response of dynamic and equivalent systems.
Teacher Scaffolding of Academic Language in an Advanced Placement U.S. History Class
ERIC Educational Resources Information Center
Gritter, Kristine; Beers, Scott; Knaus, Robert W.
2013-01-01
This article examines teacher scaffolding of academic language in an Advanced Placement United States History (APUSH) course throughout a school year for one student who received a perfect score on the end of year APUSH exam. Data includes four months of observation of teacher instructional strategies to scaffold student writing and vignettes of…
ERIC Educational Resources Information Center
Clary, Joseph R.; Nery, Karen P.
This set of 20 modules was designed for use primarily to help teach and reinforce the basic mathematics skills in electronics classes. The modules are based on electronics competencies that require mathematics skills, as determined by a panel of high school electronics and mathematics teachers. Each module consists of one or two pages of basic…
Lee, Stephen R
2010-01-01
Los Alamos National Laboratory will review its Computational Physics and Applied Mathematics (CPAM) capabilities in 2010. The goals of capability reviews are to assess the quality of science, technology, and engineering (STE) performed by the capability, evaluate the integration of this capability across the Laboratory and within the scientific community, examine the relevance of this capability to the Laboratory's programs, and provide advice on the current and future directions of this capability. This is the first such review for CPAM, which has a long and unique history at the laboratory, starting from the inception of the Laboratory in 1943. The CPAM capability covers an extremely broad technical area at Los Alamos, encompassing a wide array of disciplines, research topics, and organizations. A vast array of technical disciplines and activities are included in this capability, from general numerical modeling, to coupled mUlti-physics simulations, to detailed domain science activities in mathematics, methods, and algorithms. The CPAM capability involves over 12 different technical divisions and a majority of our programmatic and scientific activities. To make this large scope tractable, the CPAM capability is broken into the following six technical 'themes.' These themes represent technical slices through the CP AM capability and collect critical core competencies of the Laboratory, each of which contributes to the capability (and each of which is divided into multiple additional elements in the detailed descriptions of the themes in subsequent sections): (1) Computational Fluid Dynamics - This theme speaks to the vast array of scientific capabilities for the simulation of fluids under shocks, low-speed flow, and turbulent conditions - which are key, historical, and fundamental strengths of the laboratory; (2) Partial Differential Equations - The technical scope of this theme is the applied mathematics and numerical solution of partial differential equations
ERIC Educational Resources Information Center
Rogness, Jonathan
2011-01-01
Advances in computer graphics have provided mathematicians with the ability to create stunning visualizations, both to gain insight and to help demonstrate the beauty of mathematics to others. As educators these tools can be particularly important as we search for ways to work with students raised with constant visual stimulation, from video games…
NASA Astrophysics Data System (ADS)
Kriebel, M. M.; Stevens, N. J.
1992-07-01
TRW, Rocket Research Co and Defense Systems Inc are developing a space qualified 30-kW class arcjet flight unit as a part of the Arcjet ATTD program. During space operation the package will measure plume deposition and contamination, electromagnetic interference, thermal radiation, arcjet thruster performance, and plume heating in order to quantify arcjet operational interactions. The Electric Propulsion Space Experiment (ESEX) diagnostic package is described. The goals of ESEX are the demonstration of a high powered arcjet performance and the measurement of potential arcjet-spacecraft interactions which cannot be determined in ground facilities. Arcjet performance, plume characterization, thermal radiation flux and the electromagnetic interference (EMI) experiment as well as experiment operations with a preliminary operations plan are presented.
ERIC Educational Resources Information Center
Elam, Jeanette H.
2009-01-01
The purpose of this study was to compare the academic performance of students enrolled in coeducational instruction and single-gender instruction. Within this framework, the researcher examined class type, gender, and racial/ethnicity using the sixth grade CRCT scores of selected students in the areas of mathematics and science. The fifth-grade…
ERIC Educational Resources Information Center
Asirifi, Michael Kwabena; Mensah, Kweku Abeeku; Amoako, Joseph
2015-01-01
The purpose of this research article is to find out an assessment of different educational background of students performance in engineering mathematics and on the class of award obtained at the Higher National Diploma (HND) level at Cape Coast Polytechnic. A descriptive survey was conducted on students of the Electricals/Electronics Department…
The Advanced Neutron Source (ANS) project: A world-class research reactor facility
Thompson, P.B.; Meek, W.E.
1993-07-01
This paper provides an overview of the Advanced Neutron Source (ANS), a new research facility being designed at Oak Ridge National Laboratory. The facility is based on a 330 MW, heavy-water cooled and reflected reactor as the neutron source, with a thermal neutron flux of about 7.5{times}10{sup 19}m{sup {minus}2}{center_dot}sec{sup {minus}1}. Within the reflector region will be one hot source which will serve 2 hot neutron beam tubes, two cryogenic cold sources serving fourteen cold neutron beam tubes, two very cold beam tubes, and seven thermal neutron beam tubes. In addition there will be ten positions for materials irradiation experiments, five of them instrumented. The paper touches on the project status, safety concerns, cost estimates and scheduling, a description of the site, the reactor, and the arrangements of the facilities.
ERIC Educational Resources Information Center
Shores, Melanie L.; Shannon, David M.; Smith, Tommy G.
2010-01-01
A total of 761 students (58.1% female) from selected fifth- and sixth-grade mathematics classrooms in Alabama were examined to investigate the relationships between individual learner variables (gender, ethnicity, socioeconomic status [SES]) and mathematics performance. Specifically, this portion of the study examined individual learner variables…
Design of a family of new advanced airfoils for low wind class turbines
NASA Astrophysics Data System (ADS)
Grasso, Francesco
2014-12-01
In order to maximize the ratio of energy capture and reduce the cost of energy, the selection of the airfoils to be used along the blade plays a crucial role. Despite the general usage of existing airfoils, more and more, families of airfoils specially tailored for specific applications are developed. The present research is focused on the design of a new family of airfoils to be used for the blade of one megawatt wind turbine working in low wind conditions. A hybrid optimization scheme has been implemented, combining together genetic and gradient based algorithms. Large part of the work is dedicated to present and discuss the requirements that needed to be satisfied in order to have a consistent family of geometries with high efficiency, high lift and good structural characteristics. For each airfoil, these characteristics are presented and compared to the ones of existing airfoils. Finally, the aerodynamic design of a new blade for low wind class turbine is illustrated and compared to a reference shape developed by using existing geometries. Due to higher lift performance, the results show a sensitive saving in chords, wetted area and so in loads in idling position.
NASA Astrophysics Data System (ADS)
Bouchaud, Jean-Philippe; Sornette, Didier
1994-06-01
The ability to price risks and devise optimal investment strategies in thé présence of an uncertain "random" market is thé cornerstone of modern finance theory. We first consider thé simplest such problem of a so-called "European call option" initially solved by Black and Scholes using Ito stochastic calculus for markets modelled by a log-Brownien stochastic process. A simple and powerful formalism is presented which allows us to generalize thé analysis to a large class of stochastic processes, such as ARCH, jump or Lévy processes. We also address thé case of correlated Gaussian processes, which is shown to be a good description of three différent market indices (MATIF, CAC40, FTSE100). Our main result is thé introduction of thé concept of an optimal strategy in the sense of (functional) minimization of the risk with respect to the portfolio. If the risk may be made to vanish for particular continuous uncorrelated 'quasiGaussian' stochastic processes (including Black and Scholes model), this is no longer the case for more general stochastic processes. The value of the residual risk is obtained and suggests the concept of risk-corrected option prices. In the presence of very large deviations such as in Lévy processes, new criteria for rational fixing of the option prices are discussed. We also apply our method to other types of options, `Asian', `American', and discuss new possibilities (`doubledecker'...). The inclusion of transaction costs leads to the appearance of a natural characteristic trading time scale. L'aptitude à quantifier le coût du risque et à définir une stratégie optimale de gestion de portefeuille dans un marché aléatoire constitue la base de la théorie moderne de la finance. Nous considérons d'abord le problème le plus simple de ce type, à savoir celui de l'option d'achat `européenne', qui a été résolu par Black et Scholes à l'aide du calcul stochastique d'Ito appliqué aux marchés modélisés par un processus Log
Flamini, Riccardo; Mattivi, Fulvio; De Rosso, Mirko; Arapitsas, Panagiotis; Bavaresco, Luigi
2013-01-01
Grape is qualitatively and quantitatively very rich in polyphenols. In particular, anthocyanins, flavonols and stilbene derivatives play very important roles in plant metabolism, thanks to their peculiar characteristics. Anthocyanins are responsible for the color of red grapes and wines and confer organoleptic characteristics on the wine. They are used for chemotaxonomic studies and to evaluate the polyphenolic ripening stage of grape. They are natural colorants, have antioxidant, antimicrobial and anticarcinogenic activity, exert protective effects on the human cardiovascular system, and are used in the food and pharmaceutical industries. Stilbenes are vine phytoalexins present in grape berries and associated with the beneficial effects of drinking wine. The principal stilbene, resveratrol, is characterized by anticancer, antioxidant, anti-inflammatory and cardioprotective activity. Resveratrol dimers and oligomers also occur in grape, and are synthetized by the vine as active defenses against exogenous attack, or produced by extracellular enzymes released from pathogens in an attempt to eliminate undesirable toxic compounds. Flavonols are a ubiquitous class of flavonoids with photo-protection and copigmentation (together with anthocyanins) functions. The lack of expression of the enzyme flavonoid 3′,5′-hydroxylase in white grapes restricts the presence of these compounds to quercetin, kaempferol and isorhamnetin derivatives, whereas red grapes usually also contain myricetin, laricitrin and syringetin derivatives. In the last ten years, the technological development of analytical instrumentation, particularly mass spectrometry, has led to great improvements and further knowledge of the chemistry of these compounds. In this review, the biosynthesis and biological role of these grape polyphenols are briefly introduced, together with the latest knowledge of their chemistry. PMID:24084717
Flamini, Riccardo; Mattivi, Fulvio; De Rosso, Mirko; Arapitsas, Panagiotis; Bavaresco, Luigi
2013-01-01
Grape is qualitatively and quantitatively very rich in polyphenols. In particular, anthocyanins, flavonols and stilbene derivatives play very important roles in plant metabolism, thanks to their peculiar characteristics. Anthocyanins are responsible for the color of red grapes and wines and confer organoleptic characteristics on the wine. They are used for chemotaxonomic studies and to evaluate the polyphenolic ripening stage of grape. They are natural colorants, have antioxidant, antimicrobial and anticarcinogenic activity, exert protective effects on the human cardiovascular system, and are used in the food and pharmaceutical industries. Stilbenes are vine phytoalexins present in grape berries and associated with the beneficial effects of drinking wine. The principal stilbene, resveratrol, is characterized by anticancer, antioxidant, anti-inflammatory and cardioprotective activity. Resveratrol dimers and oligomers also occur in grape, and are synthetized by the vine as active defenses against exogenous attack, or produced by extracellular enzymes released from pathogens in an attempt to eliminate undesirable toxic compounds. Flavonols are a ubiquitous class of flavonoids with photo-protection and copigmentation (together with anthocyanins) functions. The lack of expression of the enzyme flavonoid 3',5'-hydroxylase in white grapes restricts the presence of these compounds to quercetin, kaempferol and isorhamnetin derivatives, whereas red grapes usually also contain myricetin, laricitrin and syringetin derivatives. In the last ten years, the technological development of analytical instrumentation, particularly mass spectrometry, has led to great improvements and further knowledge of the chemistry of these compounds. In this review, the biosynthesis and biological role of these grape polyphenols are briefly introduced, together with the latest knowledge of their chemistry. PMID:24084717
Can an 86-year-old woman with advanced lung disease be a world class athlete?
Guenette, Jordan A; Diane Lougheed, M; Webb, Katherine A; O'Donnell, Denis E
2012-04-30
We describe the case of an 86-year-old woman with advanced obstructive lung disease (forced expiratory volume in 1 s/forced vital capacity ratio (FEV(1)/FVC)=34%) who remains capable of superior athletic performance. Detailed pulmonary function testing was performed to characterize this patient's baseline respiratory impairment. An incremental symptom limited cycle exercise test was performed to characterize her sensory, ventilatory, cardiovascular and respiratory mechanical responses to exercise. Despite significant respiratory mechanical constraints, her peak cycle work rate and oxygen uptake were 177 and 175% predicted, respectively, and she achieved this while experiencing only moderate exertional dyspnea. She holds numerous world and national masters swim records despite her substantial objective respiratory impairment and continues to compete and set records to this day. We propose that lifelong participation in rigorous endurance training resulted in desensitization to dyspnea and has led to important cardiorespiratory adaptations that may have counterbalanced the known negative effects of obstructive lung disease on exercise performance and dyspnea.
Mentoring At-Risk Students in a Remedial Mathematics Course
ERIC Educational Resources Information Center
Khazanov, Leonid
2011-01-01
A peer mentoring program has been implemented to support a group of at-risk students enrolled in two sections of an elementary algebra course at an urban community college. Peer mentors were recruited from advanced mathematics classes and trained to provide individualized tutoring and mentoring support to at-risk students. The results show that…
Negotiation of Mathematical Meaning and Learning Mathematics.
ERIC Educational Resources Information Center
Voigt, Jorg
1994-01-01
Presents a case study of a first-grade class and their teacher who were observed as they ascribed mathematical meanings of numbers and of numerical operations to empirical phenomena. Differences in ascriptions led to negotiation of meanings. Discusses some indirect relations between social interaction and mathematics learning. (Contains 60…
ERIC Educational Resources Information Center
Ginsburg, Alan; Leinwand, Steven; Anstrom, Terry; Pollock, Elizabeth
2005-01-01
This exploratory study compares key features of the Singapore and U.S. mathematics systems in the primary grades, when students need to build a strong mathematics foundation. It identifies major differences between the mathematics frameworks, textbooks, assessments, and teachers in Singapore and the United States. It also presents initial results…
Wood, William B
2002-01-01
A recently released National Research Council (NRC) report, Learning and Understanding: Improving Advanced Study of Mathematics and Science in U.S. High Schools, evaluated and recommended changes in the Advanced Placement (AP), International Baccalaureate (IB), and other advanced secondary school science programs. As part of this study, discipline-specific panels were formed to evaluate advanced programs in biology, chemistry, physics, and mathematics. Among the conclusions of the Content Panel for Biology were that AP courses in particular suffer from inadequate quality control as well as excessive pressure to fulfill their advanced placement function, which encourages teachers to attempt coverage of all areas of biology and emphasize memorization of facts rather than in-depth understanding. In this essay, the Panel's principal findings are discussed, with an emphasis on its recommendation that colleges and universities should be strongly discouraged from using performance on either the AP examination or the IB examination as the sole basis for automatic placement out of required introductory courses for biology majors and distribution requirements for nonmajors.
Teaching undergraduate mathematics in interactive groups: how does it fit with students' learning?
NASA Astrophysics Data System (ADS)
Sheryn, Louise; Ell, Fiona
2014-08-01
Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in combinatorics, taught using a non-traditional, formal group work approach, the 10 students shared their views about how such an approach fitted in with their experience of learning mathematics. A descriptive thematic analysis of the students' responses revealed that despite being very comfortable with the traditional approach to learning new mathematics, most students were open to a formal group work approach and could see benefits from it after their participation. The students' prior conceptions of the goal of undergraduate mathematics learning and their view of themselves as 'mathematicians' framed their experience of learning mathematics in a non-traditional class.
ERIC Educational Resources Information Center
Brown, Kenneth E.; Johnson, Philip G.
1953-01-01
The Cooperative Committee on the Teaching of Science and Mathematics of the American Association for the Advancement of Science that participated in planning for and publishing this bulletin is composed of representatives of seventeen national scientific and mathematical societies including representatives from the associated teaching…
A new class of solid oxide metal-air redox batteries for advanced stationary energy storage
NASA Astrophysics Data System (ADS)
Zhao, Xuan
Cost-effective and large-scale energy storage technologies are a key enabler of grid modernization. Among energy storage technologies currently being researched, developed and deployed, rechargeable batteries are unique and important that can offer a myriad of advantages over the conventional large scale siting- and geography- constrained pumped-hydro and compressed-air energy storage systems. However, current rechargeable batteries still need many breakthroughs in material optimization and system design to become commercially viable for stationary energy storage. This PhD research project investigates the energy storage characteristics of a new class of rechargeable solid oxide metal-air redox batteries (SOMARBs) that combines a regenerative solid oxide fuel cell (RSOFC) and hydrogen chemical-looping component. The RSOFC serves as the "electrical functioning unit", alternating between the fuel cell and electrolysis mode to realize discharge and charge cycles, respectively, while the hydrogen chemical-looping component functions as an energy storage unit (ESU), performing electrical-chemical energy conversion in situ via a H2/H2O-mediated metal/metal oxide redox reaction. One of the distinctive features of the new battery from conventional storage batteries is the ESU that is physically separated from the electrodes of RSOFC, allowing it to freely expand and contract without impacting the mechanical integrity of the entire battery structure. This feature also allows an easy switch in the chemistry of this battery. The materials selection for ESU is critical to energy capacity, round-trip efficiency and cost effectiveness of the new battery. Me-MeOx redox couples with favorable thermodynamics and kinetics are highly preferable. The preliminary theoretical analysis suggests that Fe-based redox couples can be a promising candidate for operating at both high and low temperatures. Therefore, the Fe-based redox-couple systems have been selected as the baseline for this
Hickman, T. Scott; Justice, James J.; Egg, Rebecca
2001-08-07
The Oxy operated Class 2 Project at West Welch Project is designed to demonstrate how the use of advanced technology can improve the economics of miscible CO2 injection projects in lower quality Shallow Shelf Carbonate reservoirs. The research and design phase (Budget Period 1) primarily involved advanced reservoir demonstration characterization. The current demonstration phase (Budget Period 2) is the implementation of the reservoir management plan for an optimum miscible CO2 flood design based on the reservoir characterization.
Mathematics in Vocational Education.
ERIC Educational Resources Information Center
Oregon State Univ., Corvallis. Vocational-Technical Education Dept.
This handbook was developed to help the vocational teacher aid students in solving mathematical problems in vocational education classes. Most of the examples in the handbook were derived from metal-working and industrial mechanics classes; however, the procedures explained through them will work in any vocational class. The handbook is divided…
Glimm, J.
2009-10-14
Progress for the past decade or so has been extraordinary. The solution of Fermat's Last Theorem [11] and of the Poincare Conjecture [1] have resolved two of the most outstanding challenges to mathematics. For both cases, deep and advanced theories and whole subfields of mathematics came into play and were developed further as part of the solutions. And still the future is wide open. Six of the original seven problems from the Clay Foundation challenge remain open, the 23 DARPA challenge problems are open. Entire new branches of mathematics have been developed, including financial mathematics and the connection between geometry and string theory, proposed to solve the problems of quantized gravity. New solutions of the Einstein equations, inspired by shock wave theory, suggest a cosmology model which fits accelerating expansion of the universe possibly eliminating assumptions of 'dark matter'. Intellectual challenges and opportunities for mathematics are greater than ever. The role of mathematics in society continues to grow; with this growth comes new opportunities and some growing pains; each will be analyzed here. We see a broadening of the intellectual and professional opportunities and responsibilities for mathematicians. These trends are also occuring across all of science. The response can be at the level of the professional societies, which can work to deepen their interactions, not only within the mathematical sciences, but also with other scientific societies. At a deeper level, the choices to be made will come from individual mathematicians. Here, of course, the individual choices will be varied, and we argue for respect and support for this diversity of responses. In such a manner, we hope to preserve the best of the present while welcoming the best of the new.
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)
Bedenić, Branka; Sardelić, Sanda; Luxner, Josefa; Bošnjak, Zrinka; Varda-Brkić, Dijana; Lukić-Grlić, Amarela; Mareković, Ivana; Frančula-Zaninović, Sonja; Krilanović, Marija; Šijak, Dorotea; Grisold, Andrea; Zarfel, Gernot
2016-09-01
Carbapenemases involved in acquired carbapenem resistance in Enterobacteriaceae belong to Ambler class A serin β-lactamases, class B metallo-β-lactamases (MBL) or class D OXA-48-like β-lactamases. The aim of the present study was to analyse the molecular epidemiology and the mechanisms and routes of spread of class B and class D carbapenemases in Croatia. In total 68 isolates were analyzed. Antibiotic susceptibility was determined by broth microdilution method. PCR was used to detect antibiotic-resistance genes. Genotyping was performed by rep-PCR and MLST. Sixty-five isolates were found to harbour VIM-1 carbapenemase, seven of which were positive also for NDM-1, while two strains harboured only NDM-1. OXA-48 was detected in three isolates, two of which coproduced VIM-1. Thirty-six strains possessed additional CTX-M-15 β-lactamase whereas 64 were positive for TEM-1. CMY was found in 18 Citrobacter freundii isolates and DHA-1 in one Enterobacter cloacae isolate. Four different plasmid-incompatibility groups were found: A/C, L/M, N and FIIAs. Unlike C. freundii and E. cloacae, Klebsiella pneumoniae showed high diversity of rep-PCR patterns. E. cloacae and C. freundii predominantly belonged to one large clone which was allocated to ST105 and ST24, respectively. Three different types of carbapenemases were identified showing the complexity of CRE in Croatia.
ERIC Educational Resources Information Center
Gavin, M. Katherine; Casa, Tutita M.; Firmender, Janine M.; Carroll, Susan R.
2013-01-01
The goal of Project M2 was to develop and field-test challenging geometry and measurement units for K-2 students. The units were developed using recommendations from gifted, mathematics, and early childhood education. This article reports on achievement results for students in Grade 1 at 12 diverse sites in four states using the Iowa Tests of…
ERIC Educational Resources Information Center
Rumsey, Chepina Witkowski
2012-01-01
The goals for this study were to investigate how fourth-grade students developed an understanding of the arithmetic properties when instruction promoted mathematical argumentation and to identify the characteristics of students' arguments. Using the emergent perspective as an overarching theoretical perspective helped distinguish between two…
NASA Technical Reports Server (NTRS)
Desoer, C. A.; Polak, E.; Zadeh, L. A.
1974-01-01
A series of research projects is briefly summarized which includes investigations in the following areas: (1) mathematical programming problems for large system and infinite-dimensional spaces, (2) bounded-input bounded-output stability, (3) non-parametric approximations, and (4) differential games. A list of reports and papers which were published over the ten year period of research is included.
ERIC Educational Resources Information Center
Barmao, Anne C.; Changeiywo, Johnson M.; Githua, Bernard N.
2015-01-01
The skills acquired in mathematics provide a country with a human resource that is highly educated and able to tackle most of the country's social economic problems. However, the performance of students at the KCSE mathematics examinations in Kenya has been dismal for many years. In addition, majority of the girls in particular have been…
ERIC Educational Resources Information Center
Jarman, Ron
This book aims to present helpful, practical ideas and suggestions for mathematics teaching. Focus is on how teaching can be developed in a Rudolf Steiner (Waldorf) School and includes treatment of mathematical topics applicable to the 7-14 age group. Suggestions for curriculum and examples for children to work on are presented with a very wide…
ERIC Educational Resources Information Center
Jackson, Kara; Garrison, Anne; Wilson, Jonee; Gibbons, Lynsey; Shahan, Emily
2013-01-01
This article specifies how the setup, or introduction, of cognitively demanding tasks is a crucial phase of middle-grades mathematics instruction. The authors report on an empirical study of 165 middle-grades mathematics teachers' instruction that focused on how they introduced tasks and the relationship between how they introduced tasks and…
Mathematics in Power Technology.
ERIC Educational Resources Information Center
Trombley, Carl; And Others
This mathematics curriculum is designed to be taught by the technology education teacher during the power technology class over a period of 2 years. It is intended to be elective in nature; upon successful completion of both years, one-half credit in mathematics is to be awarded. A list of the academic competencies contained in the curriculum…
Experimenting with Mathematical Biology
ERIC Educational Resources Information Center
Sanft, Rebecca; Walter, Anne
2016-01-01
St. Olaf College recently added a Mathematical Biology concentration to its curriculum. The core course, Mathematics of Biology, was redesigned to include a wet laboratory. The lab classes required students to collect data and implement the essential modeling techniques of formulation, implementation, validation, and analysis. The four labs…
The Effects of History of Mathematics on Attitudes Toward Mathematics of College Algebra Students
ERIC Educational Resources Information Center
McBride, Cecil; Rollins, James H.
1977-01-01
Two college algebra classes were exposed to items from mathematics history in their classroom instruction, while two other college algebra classes received no such exposure. Results showed a significant positive attitude change of the mathematics history group. (DT)
Mathematical Modeling in the Undergraduate Curriculum
ERIC Educational Resources Information Center
Toews, Carl
2012-01-01
Mathematical modeling occupies an unusual space in the undergraduate mathematics curriculum: typically an "advanced" course, it nonetheless has little to do with formal proof, the usual hallmark of advanced mathematics. Mathematics departments are thus forced to decide what role they want the modeling course to play, both as a component of the…
ERIC Educational Resources Information Center
Pustjens, Heidi; Van de gaer, Eva; Van Damme, Jan; Onghena, Patrick; Van Landeghem, Georges
2007-01-01
A considerable body of previous research has demonstrated that differences between schools and classes have an impact on students' learning and acquisition of skills. It is not yet clear, however, whether the effects persist in the longer term. The present study examines the effect of primary schools and classes on language and mathematics…
ERIC Educational Resources Information Center
Bruce, Chrystal D.
2013-01-01
The initial interaction among student, instructor, and content on the first day of class is critical in setting the stage for the remainder of the semester. While many students would like to ease into the semester, experienced faculty realize that the first day of class provides a one-time opportunity to shape the students' first impression…
ERIC Educational Resources Information Center
Perels, Franziska; Dignath, Charlotte; Schmitz, Bernhard
2009-01-01
After the effectiveness of self-regulation training outside school was demonstrated, a self-regulation intervention was developed to foster the learning achievement in regular math classes. Based on the theoretical framework of self-regulated learning, self-regulation training was integrated into a math class unit. The evaluation of the…
Spector, Matthew E.; Chinn, Steven B.; Bellile, Emily; Gallagher, K. Kelly; Kang, Stephen Y.; Moyer, Jeffrey S.; Prince, Mark E.; Wolf, Gregory T.; Bradford, Carol R.; McHugh, Jonathan B.; Carey, Thomas E.; Worden, Francis P.; Eisbruch, Avraham; Ibrahim, Mohannad; Chepeha, Douglas B.
2016-01-01
Importance Understanding the drainage patterns to the retropharyngeal nodes is an important consideration in oropharyngeal squamous cell carcinoma (OPSCC) because treatment of these nodes is related to increased morbidity. Prediction of these drainage patterns could not only help minimize treatment morbidity, but could also prevent failures in at-risk patients, as de-escalation trials are underway for this disease. Objective To evaluate the prevalence of pathologic retropharyngeal adenopathy (RPA) in OPSCC relative to involvement of the oropharyngeal subsite, number of neck nodes, T classification and N classification. Design Retrospective review from 2003–2010 Setting Academic Referral Center Participants 205 previously untreated, advanced stage (III, IV), pathologically confirmed patients with OPSCC Exposure: Concurrent chemoradiation Main Outcome Measures Radiologic evidence of pathologic RPA was tabulated and related to involvement of the oropharyngeal subsite, number of neck nodes, T classification and N classification. Results Pathologic RPA was identified in 18% of patients. There were pathologic retropharyngeal lymph nodes in 12/89 (13%) base of tongue cancers, 24/109 (22%) tonsil cancers, and 1/7 (14%) other oropharyngeal subsite cancers. Increasing prevalence of RPA was positively correlated with closer proximity to the posterior tonsillar pillar. A multivariate predictive regression model using the oropharyngeal subsite, involvement of the posterior tonsillar pillar, number of metastatic nodes, T classification, and N classification, showed that the number of metastatic nodes was statistically significant with an odds ratio of 1.436 (p=0.0001, 95% confidence interval: 1.203 – 1.714). Conclusions and Relevance The prevalence of pathologic RPA in this cohort was 18% and patients with multiple nodes had the highest risk for pathologic RPA, followed by involvement of the posterior tonsillar pillar. However, this data suggests that there is no clear
ERIC Educational Resources Information Center
Rodgers, Lindsay D.
2011-01-01
The following paper examined the effects of a new method of teaching for remedial mathematics, named the hybrid model of instruction. Due to increasing importance of high stakes testing, the study sought to determine if this method of instruction, that blends traditional teaching and problem-based learning, had different learning effects on…
Mathematics Placement Tests and Gender Bias.
ERIC Educational Resources Information Center
Dorner, Celine D'Souza; Hutton, Ivan
2002-01-01
Examined whether a mathematics placement system accurately predicted success in university mathematics classes for both genders. The placement system used four variables to predict grades a student would receive if placed in various freshman mathematics classes. Found that the multiple predictors added to the gender bias of the Scholastic…
Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics
ERIC Educational Resources Information Center
Hirsch, Christian R., Ed.; McDuffie, Amy Roth, Ed.
2016-01-01
Mathematical modeling plays an increasingly important role both in real-life applications--in engineering, business, the social sciences, climate study, advanced design, and more--and within mathematics education itself. This 2016 volume of "Annual Perspectives in Mathematics Education" ("APME") focuses on this key topic from a…
ERIC Educational Resources Information Center
Ananyeva, Maria
2014-01-01
This paper focuses on "blogfolios", online interactive blog-based portfolios, developed by students for class projects in Electronic Literacy. Blogfolios may contain interactive images, podcasts, and web-log discussions on a variety of researched academic topics. The impact of academic blogfolios on the second language learner's…
Implementing the Professional Standards for Teaching Mathematics: Beyond the Classroom.
ERIC Educational Resources Information Center
Vacc, Nancy Nesbitt; And Others
1995-01-01
Describes an activity that combines a first-grade class, a fifth-grade class, measurement activities, and gorillas in a zoo to extend the mathematics learning environment and include mathematical connections, problem solving, and communications. (MKR)
Fernández-Kelly, Patricia
2014-01-01
In this paper I move beyond current understandings of family- and school-related dynamics that explain the educational and occupational success of low-income immigrant children to investigate the role of cultural capital acquired in the country of origin. Class-related forms of knowledge acquired prior to migration can become invaluable assets in areas of destination through the realization of what Pierre Boutdieu calls habitus, that is, a series of embodied predispositions deployed by individuals in their pursuit of set objectives. Although the concept has attracted prolonged attention, the mechanisms by which the habitus is fulfilled remain unspecified. Here, I propose and examine three of those mechanisms: (a) cognitive correspondence, (b) positive emulation, and (c) active recollection. My study shows that class-related resources, like education, self definition, and remembrance of nation and ancestry play an important function, shaping youthful expectations and behaviors, and protecting the children of low-income immigrants from downward mobility. PMID:25431497
ERIC Educational Resources Information Center
Snyder, Scott
2013-01-01
This study investigated the lived experiences of first-generation college students and the perceived influence of taking high school Advanced Placement (AP) courses on their college education. The following research questions were addressed: (a) what motivated students to consider going to college, (b) what was their experience in taking AP…
ERIC Educational Resources Information Center
Fagginger Auer, Marije F.; Hickendorff, Marian; Van Putten, Cornelis M.; Béguin, Anton A.; Heiser, Willem J.
2016-01-01
A first application of multilevel latent class analysis (MLCA) to educational large-scale assessment data is demonstrated. This statistical technique addresses several of the challenges that assessment data offers. Importantly, MLCA allows modeling of the often ignored teacher effects and of the joint influence of teacher and student variables.…
ERIC Educational Resources Information Center
Olsen, Angie; LeMire, Steven; Baker, Mary
2011-01-01
This study investigated the factors of middle school math student self-efficacy and perceived peer support in relation to student willingness to participate with in-class activities with an interactive white board (IWB). One-hundred and five seventh grade math students were assessed on their attitudes of IWB engagement in relationship to low…
Driven by History: Mathematics Education Reform
ERIC Educational Resources Information Center
Permuth, Steve; Dalzell, Nicole
2013-01-01
The advancement of modern societies is fueled by mathematics, and mathematics education provides the foundation upon which future scientists and engineers will build. Society dictates how mathematics will be taught through the development and implementation of mathematics standards. When examining the progression of these standards, it is…
ERIC Educational Resources Information Center
Reys, Robert; Reys, Rustin
2011-01-01
In their dual roles as mathematics teachers and tennis coaches, the authors have worked with tennis players who have never thought about how a knowledge of mathematics might help them become "better" tennis players. They have also worked with many mathematics students who have never considered how much mathematics is associated with tennis. This…
City of Long Beach; Tidelands Oil Production Company; University of Southern California; David K. Davies and Associates
2002-09-30
The objective of this project was to increase the recoverable heavy oil reserves within sections of the Wilmington Oil Field, near Long Beach, California through the testing and application of advanced reservoir characterization and thermal production technologies. The successful application of these technologies would result in expanding their implementation throughout the Wilmington Field and, through technology transfer, to other slope and basin clastic (SBC) reservoirs.
City of Long Beach; Tidelands Oil Production Company; University of Southern California; David K. Davies and Associates
2002-09-30
The objective of this project was to increase the recoverable heavy oil reserves within sections of the Wilmington Oil Field, near Long Beach, California through the testing and application of advanced reservoir characterization and thermal production technologies. It was hoped that the successful application of these technologies would result in their implementation throughout the Wilmington Field and, through technology transfer, will be extended to increase the recoverable oil reserves in other slope and basin clastic (SBC) reservoirs.
ERIC Educational Resources Information Center
Akayuure, Peter; Apawu, Jones
2015-01-01
The study was designed to engage prospective mathematics teachers in creating web learning modules. The aim was to examine the mathematical task and perceived pedagogical usability of the modules for mathematics instructions in Ghana. The study took place at University of Education, Winneba. Classes of 172 prospective mathematics teachers working…
Ward-Smith, A J
1985-01-01
Following a survey of existing mathematical models of running, a new analysis is developed, based on the first law of thermodynamics. The method properly accounts for each term in the energy balance, and avoids the use of mechanical efficiency factors. A relationship is derived between race distance and the time taken to run that distance. An excellent correlation of results from recent Olympic Games is established for events over distances from 100 m to 10,000 m. The velocity-time relationship for a sprinter running 100 m at maximum available power is obtained by numerical integration of the power equation. It is shown that the peak velocity is achieved in the middle stages of the race, a result which is consistent with practice, but which previous calculations based on Newton's laws have failed to predict. Further applications of the analysis are indicated.
Astronomy and Mathematics Education
NASA Astrophysics Data System (ADS)
Ros, Rosa M.
There are many European countries where Astronomy does not appear as a specific course on the secondary school. In these cases Astronomy content can be introduced by means of other subjects. There are some astronomical topics within the subject of Physics but this talk concerns introducing Astronomy in Mathematics classes. Teaching Astronomy through Mathematics would result in more exposure than through Physics as Mathematics is more prevalent in the curriculum. Generally it is not easy to motivate students in Mathematics but they are motivated to find out more about the universe and Astronomy current events than appears in the media. This situation can be an excellent introduction to several mathematics topics. The teachers in secondary and high school can use this idea in order to present more attractive mathematics courses. In particular some different examples will be offered regarding * Angles and spherical coordinates considering star traces * Logarithms and visual magnitudes * Plane trigonometry related orbital movements * Spherical trigonometry in connection with ecliptic obliquity * Conic curves related to sundial at several latitudes Some students do not enjoy studying Mathematics but they can be attracted by practical situations using Applied Mathematics: Astronomy is always very attractive to teenagers.
NASA Astrophysics Data System (ADS)
Elam, Jeanette H.
The purpose of this study was to compare the academic performance of students enrolled in coeducational instruction and single-gender instruction. Within this framework, the researcher examined class type, gender, and racial/ethnicity using the sixth grade CRCT scores of selected students in the areas of mathematics and science. The fifth-grade mathematics and science scores for the same population were used to control for prior knowledge. This study examined the academic achievement of students based on class type, gender, and racial/ethnicity in relation to academic achievement. The study included the CRCT scores for mathematics and science of 6th-grade students at the middle school level who were tested during the 2007--2008 school year. Many studies conducted in the past have stressed females performed better in mathematics and science, while others have stated males performed better in the same areas. Yet, other studies have found conflicting results. A large Australian study (1996), compared the academic performance of students at single-gender and coeducational schools. The conclusion of this study indicated that both males and females who were educated in single-gender classrooms scored significantly higher than did males and females in coeducational classes. A study conducted by Graham Able (2003) documented superior academic performance of students in single-gender schools, after controlling for socioeconomic class and other variables. Able's most significant finding was that the advantage of single-gender schooling was greater for males in terms of academic results than for females. This directly contradicted the educational myth that males performed better in classrooms if females were present. The sample in this study consisted of CRCT scores for 304 sixth-grade students from four different middle schools. Due to the racial composition of the sample, the study only focused on black and white students. School 1 and School 2 involved single
Teacher Flexibility in Mathematical Discussion
ERIC Educational Resources Information Center
Leikin, Roza; Dinur, Sariga
2007-01-01
The significance of discussion in mathematics classes has been prominently debated in the research literature. Different studies have stressed the importance of teacher flexibility in orchestrating the discussion. We introduce an operational definition of teacher flexibility. In a case study with one secondary-school mathematics teacher, we…
ERIC Educational Resources Information Center
Clary, Joseph R.; Nery, Karen P.
This set of three modules was designed for use primarily to help teach and reinforce the basic mathematics skills in drafting classes. The modules are based on the needs of drafting students in beginning courses as determined by a survey of teachers across North Carolina. Each module consists of basic information and examples and problem sheets…
ERIC Educational Resources Information Center
Popelka, Susan R.
2011-01-01
Tiny prisms in reflective road signs and safety vests have interesting geometrical properties that can be discussed at any level of high school mathematics. At the beginning of the school year, the author teaches a unit on these reflective materials in her precalculus class so that students can review and strengthen their geometry and trigonometry…
Correlating Mathematics and Science
ERIC Educational Resources Information Center
Mireles, Selena Vasquez
2009-01-01
The change from students learning all subjects together in a one-room schoolhouse to learning in classes separated by subject and grade resulted in distinct disciplines such as social studies, mathematics, science, and English. What was lost was the unified, holistic curriculum that a one-room setting required. Since students move from…
Mathematical Intrusions in Literatures
ERIC Educational Resources Information Center
Modica, Erasmo
2011-01-01
This article describes an activity that can be carried out in one of the final classes of Italian secondary schools. The aim of the activity is to stimulate pupil curiosity, demonstrating that Mathematics is not a barren subject and allowing the students, according to an interdisciplinary point of view, to investigate some literary works and the…
Mathematics and Mobile Learning
ERIC Educational Resources Information Center
White, Tobin; Martin, Lee
2014-01-01
This paper argues for an approach to mobile learning that leverages students' informal digital practices as resources for designing mathematics classrooms activities. We briefly describe two exploratory designs along these lines, one featuring the use of photos taken by students outside class and the other centered on their recording and…
Storytelling + Origami = Storigami Mathematics
ERIC Educational Resources Information Center
Mastin, Marla
2007-01-01
This article presents a way to engage students in mathematics learning by using the innovative instructional method of storigami. The author shares reactions from teachers who have used her storigami techniques in their classes and provides an example of storigami using the Norwegian fable "The Dog and the Mountain." (Contains 6 figures.)
ERIC Educational Resources Information Center
Leutzinger, Larry, Ed.
This book contains articles that help to further the process of reform in the middle grades, recognizing that the knowledge acquired during these years greatly affects how well the secondary school curriculum will attain its goals. Critical issues facing middle grade classes in particular and all mathematics classrooms in general are discussed.…
Mathematics Through Paper Folding.
ERIC Educational Resources Information Center
Olson, Alton T.
This booklet is a revised edition of Donovan Johnson's "Paper Folding for the Mathematics Class" (ED 077 711). It begins with directions for folding basic constructions such as as a straight line, the line perpendicular to a given line passing through a given point, and the bisector of an angle. Subsequent chapters cover concepts related to…
NASA Astrophysics Data System (ADS)
Zhao, Mi; Hou, Yifan; Liu, Ding
2010-10-01
In this article we deal with deadlock prevention problems for S4PR, a class of generalised Petri nets, which can well model a large class of flexible manufacturing systems where deadlocks are caused by insufficiently marked siphons. We present a deadlock prevention methodology that is an iterative approach consisting of two stages. The first one is called siphon control, which is to add for each insufficiently marked minimal siphon a control place to the original net. Its objective is to prevent a minimal siphon from being insufficiently marked. The second one, called control-induced siphon control, is to add a control place to the augmented net with its output arcs connecting to the source transitions, which assures that there are no new insufficiently marked siphons generated. At each iteration, a mixed integer programming approach is adopted for generalised Petri nets to obtain an insufficiently marked minimal siphon from the maximal deadly siphon. This way complete siphon enumeration is avoided that is much more time-consuming for a sizeable plant model than the proposed method. The relation of the proposed method and the liveness and reversibility of the controlled net is obtained. Examples are presented to demonstrate the presented method.
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…
TIMSS Advanced 2008 Assessment Frameworks
ERIC Educational Resources Information Center
Garden, Robert A.; Lie, Svein; Robitaille, David F.; Angell, Carl; Martin, Michael O.; Mullis, Ina V.S.; Foy, Pierre; Arora, Alka
2006-01-01
Developing the Trends in International Mathematics and Science Study (TIMSS) Advanced 2008 Assessment Frameworks was a collaborative venture involving mathematics and physics experts from around the world. The document contains two frameworks for implementing TIMSS Advanced 2008--one for advanced mathematics and one for physics. It also contains…
NASA Astrophysics Data System (ADS)
Hogue, Barbara A.
Research into women's underrepresentation in science, technology, engineering, and mathematics (STEM) disciplines has become a topic of interest due to the increasing need for employees with technical expertise and a shortage of individuals to fill STEM jobs. The discrepancy in women's representation between STEM and other fields cannot adequately be explained by factors such as women's need to balance work and family (medicine and law are both extremely demanding careers), women's fear of competition (admissions into medical and law schools are highly competitive), or women's inability to excel in science (e.g., entry into medicine requires excellent achievement in the basic sciences). The purpose of this study is to gain a deeper understanding of the role and/or impact a sense of belonging has inside and outside of STEM classrooms. Research questions focused on the role and/or impact of belonging contributes to students' self-efficacy beliefs as a STEM major. Bandura's self-efficacy theory serves as the theoretical framework. Data sources include close-ended surveys of 200 sophomore- and junior-level college students majoring in a STEM discipline. A quantitative exploratory approach allowed participants' responses to be analyzed using both correlation and multiple regression analyses to understand whether a student's sense of belonging is associated with his or her self-efficacy beliefs. Findings suggested that positive support systems impact students' self-efficacy and play a role in fostering students' motivation and decision to major in STEM disciplines. This study contributes to positive social change by providing empirical evidence faculty and administrators may use to promote university-based STEM support programs reflecting the impact belonging has on students' self-efficacy and potentially increasing the number of students majoring in STEM disciplines.
ERIC Educational Resources Information Center
Jones, Thomas A.
1983-01-01
Mathematical techniques used to solve geological problems are briefly discussed (including comments on use of geostatistics). Highlights of conferences/meetings and conference papers in mathematical geology are also provided. (JN)
Mathematics anxiety and mathematics achievement
NASA Astrophysics Data System (ADS)
Sherman, Brian F.; Wither (Post.), David P.
2003-09-01
This paper is a distillation of the major result from the 1998 Ph.D. thesis of the late David Wither. It details a longitudinal study over five years of the relationship between mathematics anxiety and mathematics achievement. It starts from the already well documented negative correlation between the two, and seeks to establish one of the three hypotheses—that mathematics anxiety causes an impairment of mathematics achievement; that lack of mathematics achievement causes mathematics anxiety; or that there is a third underlying cause of the two.
Mathematical E-Learning Using Interactive Mathematics on the Web.
ERIC Educational Resources Information Center
Bringslid, Odd
2002-01-01
Explains the use of the Web as an advanced calculator using numeric, graphic, and symbolic mathematics interactively with the development of XML-standard MathML. Suggests that the problem of decreasing achievement in mathematics courses can be solved using interactive and personalized documents on the Web and improve the understanding of…
ERIC Educational Resources Information Center
Kilpatrick, Jeremy
2014-01-01
This paper addresses the contested way that ethnomathematics has sometimes been received by mathematicians and others and what that disagreement might suggest about issues in mathematics education; namely, (a) the relation of ethnomathematics to academic mathematics; (b) recent efforts to reform secondary school mathematics so that it prepares…
NASA Astrophysics Data System (ADS)
Bronder, T.; Miller, H.; Stohs, J.; Lu, C.; Baker, J.; Lucero, A.
The development of a reliable and effective laser source for pumping mesospheric sodium to generate an artificial guidestar has been well documented. From the early achievements with 589nm high-power dye lasers at the Keck and Lick observatories to the ground-breaking 50W CW FASOR (Frequency Addition Source of Optical Radiation) Guidestar at the Air Forces Starfire Optical Range (SOR), there has been intense interest in this technology from both the academic and military communities. Beginning in the fall of 2008, the Air Force Research Laboratorys Advanced Electric Lasers Branch began a project to build, test, verify and deliver an upgraded version of the SOR FASOR for use at the AF Maui Optical Station (AMOS) in the summer of 2010. This FASOR will be similar in design to the existing SOR device and produce 50W of diffraction limited, linearly polarized narrow linewidth 589nm light by combining the output of two injection-locked Nd:YAG ring lasers (operating at 1064nm and 1319nm) using resonant sum-frequency generation in a lithium triborate crystal (LBO). The upgraded features will include modularized sub-components, embedded control electronics, and a simplified cooling system. The first portion of this upgrade project is to reconstruct the current SOR FASOR components and include improved methods of regulating the gain modules of the two injection lasers. In parallel with this effort, the technical plans for the modularization and re-packaging of the FASOR will be finalized and coordinated with the staff at Maui. This presentation will summarize the result of these efforts to date and provide updates on the AMOS FASOR status. Additionally, plans for "next-generation" FASOR upgrades for both SOR and AMOS will also be discussed.
Gesture in a Kindergarten Mathematics Classroom
ERIC Educational Resources Information Center
Elia, Iliada; Evangelou, Kyriacoulla
2014-01-01
Recent studies have advocated that mathematical meaning is mediated by gestures. This case study explores the gestures kindergarten children produce when learning spatial concepts in a mathematics classroom setting. Based on a video study of a mathematical lesson in a kindergarten class, we concentrated on the verbal and non-verbal behavior of one…
Computer Aided Learning of Mathematics: Software Evaluation
ERIC Educational Resources Information Center
Yushau, B.; Bokhari, M. A.; Wessels, D. C. J.
2004-01-01
Computer Aided Learning of Mathematics (CALM) has been in use for some time in the Prep-Year Mathematics Program at King Fahd University of Petroleum & Minerals. Different kinds of software (both locally designed and imported) have been used in the quest of optimizing the recitation/problem session hour of the mathematics classes. This paper…
Audiovisual Materials in Mathematics.
ERIC Educational Resources Information Center
Raab, Joseph A.
This pamphlet lists five thousand current, readily available audiovisual materials in mathematics. These are grouped under eighteen subject areas: Advanced Calculus, Algebra, Arithmetic, Business, Calculus, Charts, Computers, Geometry, Limits, Logarithms, Logic, Number Theory, Probability, Soild Geometry, Slide Rule, Statistics, Topology, and…
New Technologies in Mathematics.
ERIC Educational Resources Information Center
Sarmiento, Jorge
An understanding of past technological advancements can help educators understand the influence of new technologies in education. Inventions such as the abacus, logarithms, the slide rule, the calculating machine, computers, and electronic calculators have all found their place in mathematics education. While new technologies can be very useful,…
Mathematical Modeling and Pure Mathematics
ERIC Educational Resources Information Center
Usiskin, Zalman
2015-01-01
Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…
Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.
2006-06-01
From an experimental-mathematical perspective we analyze"Ising-class" integrals. Our experimental results involvedextreme-precision, multidimensional quadrature on intricate integrands;thus, highly parallel computation was required.
Mathematization in introductory physics
NASA Astrophysics Data System (ADS)
Brahmia, Suzanne M.
Mathematization is central to STEM disciplines as a cornerstone of the quantitative reasoning that characterizes these fields. Introductory physics is required for most STEM majors in part so that students develop expert-like mathematization. This dissertation describes coordinated research and curriculum development for strengthening mathematization in introductory physics; it blends scholarship in physics and mathematics education in the form of three papers. The first paper explores mathematization in the context of physics, and makes an original contribution to the measurement of physics students' struggle to mathematize. Instructors naturally assume students have a conceptual mastery of algebra before embarking on a college physics course because these students are enrolled in math courses beyond algebra. This paper provides evidence that refutes the validity of this assumption and categorizes some of the barriers students commonly encounter with quantification and representing ideas symbolically. The second paper develops a model of instruction that can help students progress from their starting points to their instructor's desired endpoints. Instructors recognize that the introductory physics course introduces new ideas at an astonishing rate. More than most physicists realize, however, the way that mathematics is used in the course is foreign to a large portion of class. This paper puts forth an instructional model that can move all students toward better quantitative and physical reasoning, despite the substantial variability of those students' initial states. The third paper describes the design and testing of curricular materials that foster mathematical creativity to prepare students to better understand physics reasoning. Few students enter introductory physics with experience generating equations in response to specific challenges involving unfamiliar quantities and units, yet this generative use of mathematics is typical of the thinking involved in
Mathematics Knowledge for Understanding and Problem Solving.
ERIC Educational Resources Information Center
Putnam, Ralph T.
1987-01-01
Two important aspects of transfer in mathematics learning are the application of mathematical knowledge (MK) to problem solving and the acquisition of more advanced concepts. General assumptions and themes of current cognitive research on mathematics learning in schoolchildren are discussed, focusing on issues facilitating the transfer of MK. (TJH)
Clinical Assessment in Mathematics: Learning the Craft.
ERIC Educational Resources Information Center
Hunting, Robert P.; Doig, Brian A.
1997-01-01
Discusses a professional development program called Clinical Approaches to Mathematics Assessment. Argues for the advanced training of mathematics teachers who understand knowledge construction processes of students; can use clinical tools for evaluating a student's unique mathematical "fingerprint"; and can create or adapt problems, tasks, or…
ERIC Educational Resources Information Center
Herron-Thorpe, Farren L.; Olson, Jo Clay; Davis, Denny
2010-01-01
Toys in the classroom was the result of a National Science Foundation grant that brought two engineering graduate students to a middle school math class. The graduate students and teachers collaborated in an effort to enhance students' mathematical learning. An engineering context was theorized as a way to further develop students' understanding…
Connecting Mathematics and Writing Workshop: It's Kinda like Ice Skating
ERIC Educational Resources Information Center
Carter, Susan
2009-01-01
Second-grade students struggle with writing about mathematical topics during math class, so the teacher begins to integrate mathematical topics into their Writing Workshop. Content journals are used during math, and students are encouraged to write about personal connections to mathematical situations, as well as incorporate mathematical concepts…
ERIC Educational Resources Information Center
An, Song; Capraro, Mary Margaret; Tillman, Daniel A.
2013-01-01
This article presents exploratory research investigating the way teachers integrate music into their regular mathematics lessons as well as the effects of music-mathematics interdisciplinary lessons on elementary school students' mathematical abilities of modeling, strategy and application. Two teachers and two classes of first grade and…
Does Time Matter in Improving Mathematical Discussions? The Influence of Mathematical Autonomy
ERIC Educational Resources Information Center
Kosko, Karl W.; Wilkins, Jesse L. M.
2015-01-01
Facilitating students' transition from less to more mathematically productive engagement in discussions is an important area of investigation. Research on mathematical whole-class discussions has consistently identified facilitating students' mathematical autonomy as a central component of this transition. Additionally, research commonly infers…
Prospective Mathematics Teachers' Views on the Role of Technology in Mathematics Education
ERIC Educational Resources Information Center
Habre, Samer; Grundmeier, Todd A.
2007-01-01
It is important for future teachers of mathematics to distinguish between technology as course content to be taught and technology as a teaching tool. This exploratory study examines prospective teachers' views of the role of technology in mathematics education before, during, and after their experience in a mathematics class that focused on…
Improved Appreciation of Mathematics through an IBL Liberal Arts Mathematics Course
ERIC Educational Resources Information Center
Blyth, Russell D.
2015-01-01
The author has taught an inquiry-based liberal arts mathematics class using the text "The Heart of Mathematics: An Invitation to Effective Thinking" by Edward B. Burger and Michael Starbird a total of 20 times since Spring 2001. The students in this class have almost all been in non-technical majors and many started the semester with…
ERIC Educational Resources Information Center
PATE, ROBERT T.; SLOAN, FRED A.
TEACHER-STUDENT INTERACTIONS WERE STUDIED IN (1) A TRADITIONAL MATHEMATICS PROGRAM, AND (2) A NEW MATHEMATICS PROGRAM BASED ON PROCEDURES ASSOCIATED WITH THE PROCESS OF DISCOVERY AND INQUIRY AND THE USE OF SYMBOLIC LOGIC. FORTY CLASSES OF REGULARLY ENROLLED FOURTH-GRADE STUDENTS PARTICIPATED IN THE STUDY. DURING OBSERVATIONS OF EACH CLASS, THE…
ERIC Educational Resources Information Center
Langbort, Carol, Ed.; Curtis, Deborah, Ed.
2000-01-01
The focus of this special issue is mathematics education. All articles were written by graduates of the new masters Degree program in which students earn a Master of Arts degree in Education with a concentration in Mathematics Education at San Francisco State University. Articles include: (1) "Developing Teacher-Leaders in a Masters Degree Program…
ERIC Educational Resources Information Center
Huckstep, Peter
2002-01-01
Contends teachers must resist the temptation to suggest that, while children can create stories and melodies, they cannot create mathematics. Quotes mathematician G. H. Hardy: "A mathematician, like a painter or poet, is a 'maker' of patterns." Considers mathematics should be able to stand up for itself. (BT)
ERIC Educational Resources Information Center
Flannery, Carol A.
This manuscript provides information and problems for teaching mathematics to vocational education students. Problems reflect applications of mathematical concepts to specific technical areas. The materials are organized into six chapters. Chapter 1 covers basic arithmetic, including fractions, decimals, ratio and proportions, percentages, and…
ERIC Educational Resources Information Center
Prochazka, Helen
2004-01-01
One section of this "scrapbook" section describes Pythagoras' belief in the connections between music and mathematics -- that everything in the universe was a series of harmonies and regulated by music. Another section explains why Phythagoras felt it important for women to be encouraged to learn mathematics. At least 28 women were involved in his…
ERIC Educational Resources Information Center
Fry, Dale Eugene
College students' performance in their first two calculus-level mathematics courses was studied by comparing students skipping, on any basis, one or more courses in the regular calculus sequence and students reaching these same courses through the regular sequence. Those skipping via CEEB AP and those skipping for any other reason were also…
Interaction of Fluids and Mathematics: A Classroom Study.
ERIC Educational Resources Information Center
Cupillari, Antonella; Khalilollahi, Amir
1998-01-01
Discusses how experiments can offer students different points of view on the mathematical concepts presented in class and bring these concepts to life. Presents an experiment that demonstrates the interaction between mathematics and fluid dynamics. (Author/ASK)
Confidence Wagering during Mathematics and Science Testing
ERIC Educational Resources Information Center
Jack, Brady Michael; Liu, Chia-Ju; Chiu, Hoan-Lin; Shymansky, James A.
2009-01-01
This proposal presents the results of a case study involving five 8th grade Taiwanese classes, two mathematics and three science classes. These classes used a new method of testing called confidence wagering. This paper advocates the position that confidence wagering can predict the accuracy of a student's test answer selection during…
Paper Folding for the Mathematics Class.
ERIC Educational Resources Information Center
Johnson, Donovan A.
Directions are given for folding paper to show geometric figures and relationships. Topics covered are folding the basic constructions, geometric concepts concerning triangles and quadrilaterals, circle relationships, products and factors, polygon constructions, symmetry, conic sections, and recreations. (DT)
Matsumoto, K; Sano, H; Nagai, R; Suzuki, H; Kodama, T; Yoshida, M; Ueda, S; Smedsrød, B; Horiuchi, S
2000-01-01
Previous studies with peritoneal macrophages obtained from macrophage scavenger receptor class A (MSR-A) knock-out mice showed that the endocytic uptake of advanced glycation end products (AGE) by macrophages was mediated mainly by MSR-A. However, it is controversial whether the endocytic uptake of intravenously injected AGE proteins by liver sinusoidal endothelial cells (LECs) is similarly explained by receptor-mediated endocytosis via MSR-A. The present study was conducted to compare the capacity to endocytose AGE proteins in LECs and peritoneal macrophages obtained from MSR-A knock-out and littermate wild-type mice. The endocytic degradation capacity of MSR-A knock-out LECs for AGE-BSA was indistinguishable from that of wild-type LECs, whereas that of MSR-A knock-out peritoneal macrophages for AGE-BSA was decreased to 30% of that in wild-type cells. Similarly, the endocytic degradation of MSR-A knock-out LECs for acetylated low-density lipoprotein (acetyl-LDL) did not differ from that of wild-type LECs, whereas the endocytic degradation of acetyl-LDL by MSR-A knock-out peritoneal macrophages was less than 20% of that in wild-type cells. Furthermore, formaldehyde-treated serum albumin (f-Alb), a ligand known to undergo scavenger-receptor-mediated endocytosis by LECs, was effectively taken up by MSR-A knock-out LECs at a capacity that did not differ from that of wild-type LECs. Moreover, the endocytic uptake of AGE-BSA by LECs was effectively competed for by unlabelled f-Alb or acetyl-LDL. These results indicate that the scavenger-receptor ligands AGE proteins, acetyl-LDL and f-Alb are endocytosed by LECs through a non-MSR-A pathway. PMID:11062078
ERIC Educational Resources Information Center
McCammon, Richard B.
1979-01-01
The year 1978 marked a continued trend toward practical applications in mathematical geology. Developments included work in interactive computer graphics, factor analysis, the vanishing tons problem, universal kriging, and resource estimating. (BB)
ERIC Educational Resources Information Center
Gardner, Martin
1978-01-01
Describes the life and work of Charles Peirce, U.S. mathematician and philosopher. His accomplishments include contributions to logic, the foundations of mathematics and scientific method, and decision theory and probability theory. (MA)
NASA Astrophysics Data System (ADS)
Rodríguez, Nancy
2015-03-01
The use of mathematical tools has long proved to be useful in gaining understanding of complex systems in physics [1]. Recently, many researchers have realized that there is an analogy between emerging phenomena in complex social systems and complex physical or biological systems [4,5,12]. This realization has particularly benefited the modeling and understanding of crime, a ubiquitous phenomena that is far from being understood. In fact, when one is interested in the bulk behavior of patterns that emerge from small and seemingly unrelated interactions as well as decisions that occur at the individual level, the mathematical tools that have been developed in statistical physics, game theory, network theory, dynamical systems, and partial differential equations can be useful in shedding light into the dynamics of these patterns [2-4,6,12].
ERIC Educational Resources Information Center
Hatt-Echeverria, Beth; Urrieta, Luis, Jr.
2003-01-01
In an effort to explore how racial and class oppressions intersect, the authors use their autobiographical narratives to depict cultural and experiential continuity and discontinuity in growing up white working class versus Chicano working class. They specifically focus on "racializing class" due to the ways class is often used as a copout by…
ERIC Educational Resources Information Center
Bossé, Michael J.; Adu-Gyamfi, Kwaku; Chandler, Kayla; Lynch-Davis, Kathleen
2016-01-01
Dynamic mathematical environments allow users to reify mathematical concepts through multiple representations, transform mathematical relations and organically explore mathematical properties, investigate integrated mathematics, and develop conceptual understanding. Herein, we integrate Boolean algebra, the functionalities of a dynamic…
Mathematical wit and mathematical cognition.
Aberdein, Andrew
2013-04-01
The published works of scientists often conceal the cognitive processes that led to their results. Scholars of mathematical practice must therefore seek out less obvious sources. This article analyzes a widely circulated mathematical joke, comprising a list of spurious proof types. An account is proposed in terms of argumentation schemes: stereotypical patterns of reasoning, which may be accompanied by critical questions itemizing possible lines of defeat. It is argued that humor is associated with risky forms of inference, which are essential to creative mathematics. The components of the joke are explicated by argumentation schemes devised for application to topic-neutral reasoning. These in turn are classified under seven headings: retroduction, citation, intuition, meta-argument, closure, generalization, and definition. Finally, the wider significance of this account for the cognitive science of mathematics is discussed. PMID:23512504
ERIC Educational Resources Information Center
Meagher, Michael; Ozgun-Koca, Asli; Edwards, Michael Todd
2011-01-01
This paper reports on a study of 22 preservice teachers enrolled in a first-semester mathematics teaching methods course. Course activities included participation in two separate field experiences in neighboring school districts. The methods class placed considerable emphasis on the use of advanced digital technologies in the teaching and learning…
TIMSS Advanced 2015 Assessment Frameworks
ERIC Educational Resources Information Center
Mullis, Ina V. S., Ed.; Martin, Michael O., Ed.
2014-01-01
The "TIMSS Advanced 2015 Assessment Frameworks" provides the foundation for the two international assessments to take place as part of the International Association for the Evaluation of Educational Achievement's TIMSS (Trends in International Mathematics and Science Study) Advanced 2015--Advanced Mathematics and Physics. Chapter 1 (Liv…
Schlimm, Dirk
2013-04-01
This article looks at recent work in cognitive science on mathematical cognition from the perspective of history and philosophy of mathematical practice. The discussion is focused on the work of Lakoff and Núñez, because this is the first comprehensive account of mathematical cognition that also addresses advanced mathematics and its history. Building on a distinction between mathematics as it is presented in textbooks and as it presents itself to the researcher, it is argued that the focus of cognitive analyses of historical developments of mathematics has been primarily on the former, even if they claim to be about the latter.
Examining the Effects of a Reformed Junior High School Science Class on Students' Math Achievement.
ERIC Educational Resources Information Center
Judson, Eugene; Sawada, Daiyo
2000-01-01
Examines an eighth grade science class that integrated mathematics and science through the use of technology. Reports that integrating mathematics and science classes positively affected students' achievement in math. (Contains 20 references.) (Author/ASK)
The Effects of Constructivist Learning Environment on Prospective Mathematics Teachers' Opinions
ERIC Educational Resources Information Center
Narli, Serkan; Baser, Nes'e
2010-01-01
To explore the effects of constructivist learning environment on prospective teachers' opinions about "mathematics, department of mathematics, discrete mathematics, countable and uncountable infinity" taught under the subject of Cantorian Set Theory in discrete mathematics class, 60 first-year students in the Division of Mathematics Education at…
Keystone Method: A Learning Paradigm in Mathematics
ERIC Educational Resources Information Center
Siadat, M. Vali; Musial, Paul M.; Sagher, Yoram
2008-01-01
This study reports the effects of an integrated instructional program (the Keystone Method) on the students' performance in mathematics and reading, and tracks students' persistence and retention. The subject of the study was a large group of students in remedial mathematics classes at the college, willing to learn but lacking basic educational…
The Language Dimension of Mathematics Teaching.
ERIC Educational Resources Information Center
Barwell, Richard; Leung, Constant; Morgan, Candia; Street, Brian
2002-01-01
Explores how to develop children's understanding of mathematical vocabulary. Presents a lesson in which the class works on the concept of dimension, and issues raised by a discussion of applied linguistics and mathematics education. Discussion was stimulated by advice from the National Numeracy Strategy (NNS) vocabulary book. (KHR)
Learning by Design: Undergraduate Scientists Learning Mathematics.
ERIC Educational Resources Information Center
Noss, Richard
1999-01-01
Starts from the premise that simultaneous study of design and learning together may throw light on epistemological and psychological issues in learning mathematics. Studies undergraduate science students who take mathematics classes and reveals a complex relationship between design and learning with implications for the design of instructional…
Mathematics and Molecules: Exploring Connections via Programming.
ERIC Educational Resources Information Center
Ploger, Don; Carlock, Margaret
1996-01-01
Examines the self-directed activity of two students who learned about molecular structure by writing computer programs. The programs displayed the solution of a mathematics problem, then the programs were extended to represent several classes of organic molecules. Different ways to enhance mathematical connections to chemistry education are…
Popcorn: An Explosive Mixture of General Mathematics.
ERIC Educational Resources Information Center
Westerberg, Judy; Whiting, Jack
1992-01-01
Presents an activity developed for back-to-back general science and mathematics classes involving measurement, data analysis, and consumer mathematics. Students compare brands of popcorn for number of popped and unpopped kernels, volume, size, color, texture, and flavor, and develop advertisements for the best brands. Suggests possible extension…
Creative Mathematics in the Primary Classroom
ERIC Educational Resources Information Center
Cooper, Phil
2011-01-01
This article sets out how the author believes mathematics might be taught in creative ways. It is about the author's developing thoughts on how he teaches mathematics, how his class responds to his teaching, and how he adjusts his teaching through assessment of children's learning. Through observations and assessment of learning following his…
Web-Based Implementation of Discrete Mathematics
ERIC Educational Resources Information Center
Love, Tanzy; Keinert, Fritz; Shelley, Mack
2006-01-01
The Department of Mathematics at Iowa State University teaches a freshman-level Discrete Mathematics course with total enrollment of about 1,800 students per year. The traditional format includes large lectures, with about 150 students each, taught by faculty and temporary instructors in two class sessions per week and recitation sections, with…
In Focus...Mathematics, History, Ethnomathematics and Education: A Comprehensive Program.
ERIC Educational Resources Information Center
D'Ambrosio, Ubiratan
1999-01-01
Discusses the nature of mathematics, the goals of education, and the political dimension of mathematics. Considers ethnomathematics, the history of mathematics, and advances in ethnomathematics. Proposes a new conception of curriculum. (ASK)
Mathematical Modeling of Chemical Stoichiometry
ERIC Educational Resources Information Center
Croteau, Joshua; Fox, William P.; Varazo, Kristofoland
2007-01-01
In beginning chemistry classes, students are taught a variety of techniques for balancing chemical equations. The most common method is inspection. This paper addresses using a system of linear mathematical equations to solve for the stoichiometric coefficients. Many linear algebra books carry the standard balancing of chemical equations as an…
Murphy, Mark B.
2002-01-16
The overall objective of this project was to demonstrate that a development program-based on advanced reservoir management methods-can significantly improve oil recovery at the Nash Draw Pool (NDP). The plan included developing a control area using standard reservoir management techniques and comparing its performance to an area developed using advanced reservoir management methods. Specific goals were (1) to demonstrate that an advanced development drilling and pressure maintenance program can significantly improve oil recovery compared to existing technology applications and (2) to transfer these advanced methodologies to oil and gas producers in the Permian Basin and elsewhere throughout the U.S. oil and gas industry.
Murphy, Michael B.
2002-02-21
The overall objective of this project is to demonstrate that a development program based on advanced reservoir management methods can significantly improve oil recovery at the Nash Draw Pool (NDP). The plan includes developing a control area using standard reservoir management techniques and comparing its performance to an area developed using advanced reservoir management methods. Specific goals are (1) to demonstrate that an advanced development drilling and pressure maintenance program can significantly improve oil recovery compared to existing technology applications and (2) to transfer these advanced methodologies to oil and gas producers in the Permian Basin and elsewhere throughout the U.S. oil and gas industry.
ERIC Educational Resources Information Center
Berryman, Sue E.
This paper describes trends in and causes of minority and female representation among holders of advanced science and math degrees. The minority groups studied are Blacks, Hispanic Americans, American Indians, and Asian Americans, all of whom are compared with Whites. The degrees looked at include those in math, the computer sciences, physical…
ERIC Educational Resources Information Center
Hadlock, Charles R
2013-01-01
The movement of groundwater in underground aquifers is an ideal physical example of many important themes in mathematical modeling, ranging from general principles (like Occam's Razor) to specific techniques (such as geometry, linear equations, and the calculus). This article gives a self-contained introduction to groundwater modeling with…
ERIC Educational Resources Information Center
Catterton, Gene; And Others
This material was developed to be used with the non college-bound student in the senior high school. It provides the student with everyday problems and experiences in which practical mathematical applications are made. The package includes worksheets pertaining to letterhead invoices, sales slips, payroll sheets, inventory sheets, carpentry and…
... may have trouble with math, as well as low scores in math classes and on tests. Problems the child may have include: Trouble with reading, writing, and copying numbers Problems counting and adding numbers, ...
J.K. Brimacombe; I.V. Samarasekera; E.B. Hawbolt; T.R. Meadowcroft; M. Militzer; W.J. Pool; D.Q. Jin
1999-07-31
This report describes the work of developing an integrated model used to predict the thermal history, deformation, roll forces, microstructural evolution and mechanical properties of steel strip in a hot-strip mill. This achievement results from a joint research effort that is part of the American Iron and Steel Institute's (AIS) Advanced Process Control Program, a collaboration between the U.S. DOE and fifteen North American Steelmakers.
Mathematics Curriculum Guide. Mathematics IV.
ERIC Educational Resources Information Center
Gary City Public School System, IN.
GRADES OR AGES: Grade 12. SUBJECT MATTER: Mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: The subject matter is presented in four columns: major areas, significant outcomes, observations and suggestions, and films and references. The topics include: sets-relations-functions, circular functions, graphs of circular functions, inverses of circular…
Building Study and Work Skills in a College Mathematics Classroom.
ERIC Educational Resources Information Center
Sagher, Y.; Siadat, M. V.
During the academic years 1993-1995, instructors from the Department of Mathematics from the University of Illinois at Chicago and Richard J. Daley College (Illinois) conducted an experiment in remedial mathematics classes at a community college. The researchers wanted to investigate whether, while teaching mathematics in a rigorous manner, they…
Single-Sex Mathematics Instruction in an Urban Independent School.
ERIC Educational Resources Information Center
Seitsinger, Anne M.; Barboza, Helen C.; Hird, Anne
An urban independent middle school grouped its 63 sixth and seventh graders into single-sex mathematics classes (SSMC) to improve girls' achievement in mathematics (AIM) and attitudes toward mathematics (ATM) with no negative impact on boys. Researchers analyzed AIM, ATM, and interactions/instruction. AIM measures included Metropolitan Achievement…
Mathematical Modeling of Electronic Devices and Circuits
NASA Astrophysics Data System (ADS)
Singh, B. P.; Singh, Meena; Roy, Sanjay Kumar
2010-11-01
The necessity of modeling lies in the nature of technology and its advancement. The modeling minimizes time and cost of the process involved. The mathematical model provides an insight into the behavior of the physical system that reduces the problem to its essential characteristics. The floating admittance matrix (FAM) approach is an elegant method of mathematical modeling of electronic devices and circuits.
Technology in K-12 Mathematics Classrooms
ERIC Educational Resources Information Center
Ozel, Serkan; Yetkiner, Zeynep Ebrar; Capraro, Robert M.
2008-01-01
Technology integration in mathematics classrooms is important to the field of education, not only because today's society is becoming more and more advanced and reliant upon technology but also because schools are beginning to embrace technology as an essential part of their curricula. The Principles and Standards for School Mathematics (National…
Mathematical Rigor in the Common Core
ERIC Educational Resources Information Center
Hull, Ted H.; Balka, Don S.; Miles, Ruth Harbin
2013-01-01
A whirlwind of activity surrounds the topic of teaching and learning mathematics. The driving forces are a combination of changes in assessment and advances in technology that are being spurred on by the introduction of content in the Common Core State Standards for Mathematical Practice. Although the issues are certainly complex, the same forces…
The Myth of Objectivity in Mathematics Assessment.
ERIC Educational Resources Information Center
Romagnano, Lew
2001-01-01
Investigates meaningful assessment to give teachers information on students' understanding of mathematical ideas and how their understanding changes over time. Presents examples collected from a teacher-made quiz, the Advanced Placement calculus test, and the SAT-I Mathematics test. Illustrates both the inherent subjectivity of these methods and…
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…
ERIC Educational Resources Information Center
Smith, Thomas J.; McKenna, Cornelius M.; Hines, Ellen
2014-01-01
This study examined a large, nationally-representative sample of eighth-grade students in the US to assess how the frequency of group learning activity in mathematics classrooms was associated with mathematics achievement and three measures of attitudes toward mathematics. Results showed that moderate amounts of group work in class had positive…
Science and Mathematics in Astronomy
NASA Technical Reports Server (NTRS)
Woolack, Edward
2009-01-01
A brief historical introduction to the development of observational astronomy will be presented. The close historical relationship between the successful application of mathematical concepts and advances in astronomy will be presented. A variety of simple physical demonstrations, hands-on group activities, and puzzles will be used to understand how the properties of light can be used to understand the contents of our universe.
Class Construction: White Working-Class Student Identity in the New Millennium
ERIC Educational Resources Information Center
Freie, Carrie
2007-01-01
"Class Construction" explores class, racial, and gender identity construction among white, working-class students. Delving into River City High School, Freie asks what happens to the adolescent children of working-class families when economic changes such as globalization and technological advancements have altered the face of working-class jobs.…
Dilemma in Teaching Mathematics
ERIC Educational Resources Information Center
Md Kamaruddin, Nafisah Kamariah; Md Amin, Zulkarnain
2012-01-01
The challenge in mathematics education is finding the best way to teach mathematics. When students learn the reasoning and proving in mathematics, they will be proficient in mathematics. Students must know mathematics before they can apply it. Symbolism and logic is the key to both the learning of mathematics and its effective application to…
ERIC Educational Resources Information Center
Ellis, Thomas I.
1985-01-01
After a brief introduction identifying current issues and trends in research on class size, this brochure reviews five recent studies bearing on the relationship of class size to educational effectiveness. Part 1 is a review of two interrelated and highly controversial "meta-analyses" or statistical integrations of research findings on class size,…
ERIC Educational Resources Information Center
Valdata, Patricia
2005-01-01
Ever since George Washington opted for the title of president rather than king, Americans have been uncomfortable with the idea of class distinctions. This article presents an interview with Dr. Janet Galligani Casey regarding the idea of class distinctions. Galligani Casey, who grew up in a working-class neighborhood in Somerville, Massachusetts,…
Approaches to Studying the Enacted Mathematics Curriculum. Research in Mathematics Education
ERIC Educational Resources Information Center
Heck, Dan, Ed.; Chval, Kathryn, Ed.; Weiss, Iris, Ed.; Ziebarth, Steven W., Ed.
2012-01-01
Curriculum materials are among the most pervasive and powerful influences on school mathematics. In many mathematics classes, student assignments, the questions the teacher asks, the ways students are grouped, the forms of assessment, and much more originate in curriculum materials. At the same time, teachers have considerable latitude in how they…
ERIC Educational Resources Information Center
Lim, Louis; Pugalee, David K.
2004-01-01
Recent results from the Education Quality and Accountability Office (EQAO)'s grade 9 applied mathematics assessment found that students are experiencing difficulty with the Ontario curriculum, specifically with written communication. Action research was conducted during the second semester of 2003/04 in a grade 10 applied mathematics class to…
Mathematics Models in Chemistry--An Innovation for Non-Mathematics and Non-Science Majors
ERIC Educational Resources Information Center
Rash, Agnes M.; Zurbach, E. Peter
2004-01-01
The intention of this article is to present a year-long interdisciplinary course, Mathematical Models in Chemistry. The course is comprised of eleven units, each of which has both a mathematical and a chemical component. A syllabus of the course is given and the format of the class is explained. The interaction of the professors and the content is…
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…
Pushing the Limit: A Class Project
ERIC Educational Resources Information Center
Odafe, Victor U.
2012-01-01
Instructors are constantly struggling to help students understand mathematical concepts as well as the relevance of mathematics to the real world. In calculus, students possess misconceptions of the limit concept. "Pushing the Limit" refers to a semester-long calculus class project that required students to read about, interview calculus…
ERIC Educational Resources Information Center
Glassman, Phyllis
Two intermediate elementary schools in the Bay Shore District of Bay Shore, New York, were studied to assess the impact upon student achievement of a program in cooperative learning applied to mathematics, reading, and writing. The schools include the Gardiner Manor and South Country Schools; in the 1986-87 school year, 510 students attended the…
Edwards, A W F
2011-03-01
Ernst Mayr called the first part of the evolutionary synthesis the 'Fisherian synthesis' on account of the dominant role played by R.A. Fisher in forging a mathematical theory of natural selection together with J.B.S. Haldane and Sewall Wright in the decade 1922-1932. It is here argued that Fisher's contribution relied on a close reading of Darwin's work to a much greater extent than did the contributions of Haldane and Wright, that it was synthetic in contrast to their analytic approach and that it was greatly influenced by his friendship with the Darwin family, particularly with Charles's son Leonard. PMID:21423339
Multiple Functions in Equivalence Classes
ERIC Educational Resources Information Center
McVeigh, Brian; Keenan, Mickey
2009-01-01
Four experiments examined the effects of training a "drawing" response to each of three stimuli in a 5-member equivalence class. In Experiment 1 the stimuli were an arbitrary word, a shape, or a mathematical symbol. Subjects then were trained to draw a separate component of a stickman at each of the 3 stimuli. Subsequent tests for function…
Alleman, T. L.; Tennant, C. J.; Hayes, R. R.; Miyasato, M.; Oshinuga, A.; Barton, G.; Rumminger, M.; Duggal, V.; Nelson, C.; Ray, M.; Cherrillo, R. A.
2005-11-01
A 2002 Cummins ISM engine was modified to be optimized for operation on gas-to-liquid (GTL) fuel and advanced emission control devices. The engine modifications included increased exhaust gas recirculation (EGR), decreased compression ratio, and reshaped piston and bowl configuration.
Predictors of Performance in Navy Electronics Skills: The Effect of Mathematical Skills.
ERIC Educational Resources Information Center
Baker, Meryl S.
This effort is part of a project designed to identify mathematical requirements related to Navy electronics training. The relationship between mathematics ability and electronics performance in the Navy's Basic Electricity and Electronics (BE/E), Class "A," and Class "C" schools was examined to identify the mathematics skills required to complete…
Mathematics Majors' Beliefs about Proof Reading
ERIC Educational Resources Information Center
Weber, Keith; Mejia-Ramos, Juan Pablo
2014-01-01
We argue that mathematics majors learn little from the proofs they read in their advanced mathematics courses because these students and their teachers have different perceptions about students' responsibilities when reading a mathematical proof. We used observations from a qualitative study where 28 undergraduates were observed evaluating…
Mathematics in Literature and Cinema: An Interdisciplinary Course
ERIC Educational Resources Information Center
Chabrán, H. Rafael; Kozek, Mark
2016-01-01
We describe our team-taught, interdisciplinary course "Numb3rs in Lett3rs & Fi1ms: Mathematics in Literature and Cinema," which explores mathematics in the context of modern literature and cinema. Our goal with this course is to advance collaborations between mathematics and the written/theatre-based creative arts.
High School Mathematics Preparation and Sex Differences in Quantitative Abilities.
ERIC Educational Resources Information Center
de Wolf, Virginia A.
1981-01-01
On six mathematical subtests studied, males scored higher plus took significantly more algebra, geometry, advanced mathematics, and physics coursework. Females earned higher overall mathematics grades. After statistically controlling for the amount of coursework taken, sex differences disappeared on two quantitative tests and on spatial ability.…
Specialized Mathematics Courses, Secondary Level: Learning Objectives, Scope and Sequence.
ERIC Educational Resources Information Center
Lehigh County Community Coll., Schnecksville, PA.
In this document, detailed objectives for the following courses are listed: Algebra I, Algebra II, Geometry, Trigonometry, Analytic Geometry, Advanced Mathematics, Personal Business Mathematics, and Business Mathematics. Each objective is keyed to an expected level of achievement: awareness, knowledge, application, mastery, reinforcement, and…
Trying out Acceleration for Mathematically Talented Fifth Graders
ERIC Educational Resources Information Center
Maggio, M. Raine; Sayler, Micheal
2013-01-01
Parents and schools often notice the need for addressing advanced mathematical performance in elementary students. Many gifted programs do not offer differentiated or accelerated mathematics as part of their elementary school options. In this report, the efforts of one school system to identify and serve the needs of highly mathematically able…
Gender Differences in School Achievement: A Within-Class Perspective
ERIC Educational Resources Information Center
Cahan, Sorel; Barneron, Meir; Kassim, Suhad
2014-01-01
Relying on the results of the achievement tests in mathematics, science, native language (Hebrew/Arabic) and English, administered to 1430 5th-grade co-educational classes in Israel, this study examines the between-class variability of the within-class mean score gender differences and its class and school correlates. The four main results of the…
Class Matters in the Interview Setting? Positionality, Situatedness and Class
ERIC Educational Resources Information Center
Mellor, Jody; Ingram, Nicola; Abrahams, Jessie; Beedell, Phoebe
2014-01-01
In this article we argue that despite methodological and analytical advancements in the field of social class research, these developments have not led to a wholehearted discussion about class positionality and situatedness in relation to interviewer-participant dynamics. Despite--or perhaps due to--this methodological gap, there remains an…
Perri, Pasquale R.; Cooney, John; Fong, Bill; Julander, Dale; Marasigan, Aleks; Morea, Mike; Piceno, Deborah; Stone, Bill; Emanuele, Mark; Sheffield, Jon; Wells, Jeff; Westbrook, Bill; Karnes, Karl; Pearson, Matt; Heisler, Stuart
2000-04-24
The primary objective of this project was to conduct advanced reservoir characterization and modeling studies in the Antelope Shale of the Bureau Vista Hills Field. Work was subdivided into two phases or budget periods. The first phase of the project focused on a variety of advanced reservoir characterization techniques to determine the production characteristics of the Antelope Shale reservoir. Reservoir models based on the results of the characterization work would then be used to evaluate how the reservoir would respond to enhanced oil recovery (EOR) processes such as of CO2 flooding. The second phase of the project would be to implement and evaluate a CO2 in the Buena Vista Hills Field. A successful project would demonstrate the economic viability and widespread applicability of CO2 flooding in siliceous shale reservoirs of the San Joaquin Valley.
Wier, Don R. Chimanhusky, John S.; Czirr, Kirk L.; Hallenbeck, Larry; Gerard, Matthew G.; Dollens, Kim B.; Owen, Rex; Gaddis, Maurice; Moshell, M.K.
2002-11-18
The purpose of this project was to economically design an optimum carbon dioxide (CO2) flood for a mature waterflood nearing its economic abandonment. The original project utilized advanced reservoir characterization and CO2 horizontal injection wells as the primary methods to redevelop the South Cowden Unit (SCU). The development plans; project implementation and reservoir management techniques were to be transferred to the public domain to assist in preventing premature abandonment of similar fields.
Dutton, Shirley P.; Flanders, William A.; Mendez, Daniel L.
2001-05-08
The objective of this Class 3 project was demonstrate that detailed reservoir characterization of slope and basin clastic reservoirs in sandstone's of the Delaware Mountain Group in the Delaware Basin of West Texas and New Mexico is a cost effective way to recover oil more economically through geologically based field development. This project was focused on East Ford field, a Delaware Mountain Group field that produced from the upper Bell Canyon Formation (Ramsey sandstone). The field, discovered in 9160, is operated by Oral Petco, Inc., as the East Ford unit. A CO2 flood was being conducted in the unit, and this flood is the Phase 2 demonstration for the project.
Dutton, Shirley P.; Flanders, William A.
2001-11-04
The objective of this Class III project was demonstrate that reservoir characterization and enhanced oil recovery (EOR) by CO2 flood can increase production from slope and basin clastic reservoirs in sandstones of the Delaware Mountain Group in the Delaware Basin of West Texas and New Mexico. Phase 1 of the project, reservoir characterization, focused on Geraldine Ford and East Ford fields, which are Delaware Mountain Group fields that produce from the upper Bell Canyon Formation (Ramsey sandstone). The demonstration phase of the project was a CO2 flood conducted in East Ford field, which is operated by Orla Petco, Inc., as the East Ford unit.
Addressing Continuing Mathematical Deficiencies with Advanced Mathematical Diagnostic Testing
ERIC Educational Resources Information Center
Carr, Michael; Murphy, Eoin; Bowe, Brian; Ni Fhloinn, Eabhnat
2013-01-01
Dublin Institute of Technology offers students a number of different routes into engineering, allowing many non-standard entrants the opportunity to study the discipline provided they fulfil certain criteria. The final aim of many of these students is to achieve an Honours Degree in Engineering, which takes a minimum of 4 years. Apart from the…
Class Differences in Cohabitation Processes
ERIC Educational Resources Information Center
Sassler, Sharon; Miller, Amanda J.
2011-01-01
Despite the burgeoning cohabitation literature, research has failed to examine social class variation in processes of forming and advancing such unions. Drawing upon in-depth interviews with 122 working- and middle-class cohabitors, we examine the duration between dating and moving in together, reasons for cohabiting, and subsequent plans.…
Allied Health Applications Integrated into Developmental Mathematics Using Problem Based Learning
ERIC Educational Resources Information Center
Shore, Mark; Shore, JoAnna; Boggs, Stacey
2004-01-01
For this FIPSE funded project, mathematics faculty attended allied health classes and allied health faculty attended developmental mathematics courses to incorporate health examples into the developmental mathematics curriculum. Through the course of this grant a 450-page developmental mathematics book was written with many problems from a variety…
Increasing mathematical problem-solving performance through relaxation training
NASA Astrophysics Data System (ADS)
Sharp, Conni; Coltharp, Hazel; Hurford, David; Cole, Amykay
2000-04-01
Two intact classes of 30 undergraduate students enrolled in the same general education mathematics course were each administered the IPSP Mathematics Problem Solving Test and the Mathematics Anxiety Rating Scale at the beginning and end of the semester. Both groups experienced the same syllabus, lectures, course requirements, and assessment techniques; however, one group received relaxation training during an initial class meeting and during the first 5 to 7 minutes of each subsequent class. The group which had received relaxation training had significantly lower mathematics anxiety and significantly higher mathematics performance at the end of the course. The results suggest that relaxation training may be a useful tool for treating anxiety in undergraduate general education mathematics students.
Authenticity of Mathematical Modeling
ERIC Educational Resources Information Center
Tran, Dung; Dougherty, Barbara J.
2014-01-01
Some students leave high school never quite sure of the relevancy of the mathematics they have learned. They fail to see links between school mathematics and the mathematics of everyday life that requires thoughtful decision making and often complex problem solving. Is it possible to bridge the gap between school mathematics and the mathematics in…
Rath, Avita; Varma, Smrithi; Paul, Renny
2016-01-01
Introduction. Gingival recession is an apical shift of the gingival margin with exposure of the root surface. This migration of the marginal tissue leads to esthetic concerns, dentin hypersensitivity, root caries, and cervical wear. It is, paradoxically, a common finding in patients with a high standard of oral hygiene, as well as in periodontally untreated populations with poor oral hygiene. Changing the topography of the marginal soft tissue in order to facilitate plaque control is a common indication for root coverage procedures and forms a major aspect of periodontal plastic surgeries. The regeneration of a new connective tissue attachment to denuded root surface is by allowing the selective coronal regrowth of periodontal ligament cells while excluding the gingival tissues from the root during wound healing by means of a barrier membrane. Case Presentation. This case reports a two-stage surgical technique for treatment of Miller's class III defect using free gingival autograft and type I absorbable collagen membrane (BioMend®, Zimmer Dental, USA)(§). Conclusions. The 6-month follow-up of the case showed a significant increase in attached gingiva suggesting it as a predictable alternative in the treatment of Millers class III defects. PMID:27525131
Paul, Renny
2016-01-01
Introduction. Gingival recession is an apical shift of the gingival margin with exposure of the root surface. This migration of the marginal tissue leads to esthetic concerns, dentin hypersensitivity, root caries, and cervical wear. It is, paradoxically, a common finding in patients with a high standard of oral hygiene, as well as in periodontally untreated populations with poor oral hygiene. Changing the topography of the marginal soft tissue in order to facilitate plaque control is a common indication for root coverage procedures and forms a major aspect of periodontal plastic surgeries. The regeneration of a new connective tissue attachment to denuded root surface is by allowing the selective coronal regrowth of periodontal ligament cells while excluding the gingival tissues from the root during wound healing by means of a barrier membrane. Case Presentation. This case reports a two-stage surgical technique for treatment of Miller's class III defect using free gingival autograft and type I absorbable collagen membrane (BioMend®, Zimmer Dental, USA)§. Conclusions. The 6-month follow-up of the case showed a significant increase in attached gingiva suggesting it as a predictable alternative in the treatment of Millers class III defects. PMID:27525131
A Multifaceted Mathematical Approach for Complex Systems
Alexander, F.; Anitescu, M.; Bell, J.; Brown, D.; Ferris, M.; Luskin, M.; Mehrotra, S.; Moser, B.; Pinar, A.; Tartakovsky, A.; Willcox, K.; Wright, S.; Zavala, V.
2012-03-07
Applied mathematics has an important role to play in developing the tools needed for the analysis, simulation, and optimization of complex problems. These efforts require the development of the mathematical foundations for scientific discovery, engineering design, and risk analysis based on a sound integrated approach for the understanding of complex systems. However, maximizing the impact of applied mathematics on these challenges requires a novel perspective on approaching the mathematical enterprise. Previous reports that have surveyed the DOE's research needs in applied mathematics have played a key role in defining research directions with the community. Although these reports have had significant impact, accurately assessing current research needs requires an evaluation of today's challenges against the backdrop of recent advances in applied mathematics and computing. To address these needs, the DOE Applied Mathematics Program sponsored a Workshop for Mathematics for the Analysis, Simulation and Optimization of Complex Systems on September 13-14, 2011. The workshop had approximately 50 participants from both the national labs and academia. The goal of the workshop was to identify new research areas in applied mathematics that will complement and enhance the existing DOE ASCR Applied Mathematics Program efforts that are needed to address problems associated with complex systems. This report describes recommendations from the workshop and subsequent analysis of the workshop findings by the organizing committee.
A Study of Coordination Between Mathematics and Chemistry in the Pre-Technical Program.
ERIC Educational Resources Information Center
Loiseau, Roger A.
This research was undertaken to determine whether the mathematics course offered to students taking courses in chemical technology was adequate. Students in a regular class and an experimental class were given mathematics and chemistry pretests and posttests. The experimental class was taught using a syllabus designed to maximize the coherence…
Dutton, Shirley P.
2000-07-07
The objective of this Class 3 project was demonstrate that detailed reservoir characterization of slope and basin clastic reservoirs in sandstone's of the Delaware Mountain Group in the Delaware Basin of West Texas and New Mexico is a cost effective way to recover a higher percentage of the original oil in place through strategic placement of infill wells and geologically based field development. Project objectives are divided into two main phases. The original objectives of the reservoir-characterization phase of the project were (1) to provide a detailed understanding of the architecture and heterogeneity of two representative fields of the Delaware Mountain Group, Geraldine Ford and Ford West, which produce from the Bell Canyon and Cherry Canyon Formations, respectively, (2) to chose a demonstration area in one of the fields, and (3) to simulate a CO{sub 2} flood in the demonstration area.
Dutton, Shirley P.; Flanders, William A.; Zirczy, Helena H.
2000-05-24
The objective of this Class 3 project was to demonstrate that detailed reservoir characterization of slope and basin clastic reservoirs in sandstones of the Delaware Mountain Group in the Delaware Basin of West Texas and New Mexico is a cost effective way to recover a higher percentage of the original oil in place through strategic placement of infill wells and geologically based field development. Phase 1 of the project, reservoir characterization, was completed this year, and Phase 2 began. The project is focused on East Ford field, a representative Delaware Mountain Group field that produces from the upper Bell Canyon Formation (Ramsey sandstone). The field, discovered in 1960, is operated by Oral Petco, Inc., as the East Ford unit. A CO{sub 2} flood is being conducted in the unit, and this flood is the Phase 2 demonstration for the project.
NASA Technical Reports Server (NTRS)
Bekey, G. A.
1971-01-01
Studies are summarized on the application of advanced analytical and computational methods to the development of mathematical models of human controllers in multiaxis manual control systems. Specific accomplishments include the following: (1) The development of analytical and computer methods for the measurement of random parameters in linear models of human operators. (2) Discrete models of human operator behavior in a multiple display situation were developed. (3) Sensitivity techniques were developed which make possible the identification of unknown sampling intervals in linear systems. (4) The adaptive behavior of human operators following particular classes of vehicle failures was studied and a model structure proposed.
Mathematical Story: A Metaphor for Mathematics Curriculum
ERIC Educational Resources Information Center
Dietiker, Leslie
2015-01-01
This paper proposes a theoretical framework for interpreting the content found in mathematics curriculum in order to offer teachers and other mathematics educators comprehensive conceptual tools with which to make curricular decisions. More specifically, it describes a metaphor of "mathematics curriculum as story" and defines and…
Mathematics for Life: Sustainable Mathematics Education
ERIC Educational Resources Information Center
Renert, Moshe
2011-01-01
Ecological sustainability has not been a major focus of mathematics education research, even though it has attracted considerable attention in other areas of educational research in the past decade. The connections between mathematics education and ecological sustainability are not readily apparent. This paper explores how mathematics educators…
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…
Mathematics Anxiety and Attitudes toward Mathematics.
ERIC Educational Resources Information Center
Rounds, James B., Jr.; Hendel, Darwin D.
1980-01-01
Results indicate that the Mathematics Anxiety Rating Scale and the Math Anxiety Scale measure similar components of mathematics-anxiety domain. Mathematics-anxiety scales and Fennema-Sherman scales of Confidence and Effectance Motivation measure similar affective domains and are approximately equal predictors of arithmetic performance. (Author)
Class Differences in Cohabitation Processes
Sassler, Sharon; Miller, Amanda J.
2012-01-01
Despite the burgeoning cohabitation literature, research has failed to examine social class variation in processes of forming and advancing such unions. Drawing upon in-depth interviews with 122 working- and middle-class cohabitors, we examine the duration between dating and moving in together, reasons for cohabiting, and subsequent plans. Transitions to cohabitation are more rapid among the working class. Respondents often cohabited for practical reasons—out of financial necessity, because it was convenient, or to meet a housing need. Regardless of social class status, few couples move in together as a “trial marriage.” Nonetheless, middle-class cohabitors were more likely to have become engaged than their working-class counterparts. Our findings indicate the need to reassess common beliefs regarding the role served by cohabitation and suggest that cohabitation has become another location where family outcomes are diverging by social class. PMID:23504506
Class Differences in Cohabitation Processes.
Sassler, Sharon; Miller, Amanda J
2011-04-01
Despite the burgeoning cohabitation literature, research has failed to examine social class variation in processes of forming and advancing such unions. Drawing upon in-depth interviews with 122 working- and middle-class cohabitors, we examine the duration between dating and moving in together, reasons for cohabiting, and subsequent plans. Transitions to cohabitation are more rapid among the working class. Respondents often cohabited for practical reasons-out of financial necessity, because it was convenient, or to meet a housing need. Regardless of social class status, few couples move in together as a "trial marriage." Nonetheless, middle-class cohabitors were more likely to have become engaged than their working-class counterparts. Our findings indicate the need to reassess common beliefs regarding the role served by cohabitation and suggest that cohabitation has become another location where family outcomes are diverging by social class.
Scott Hara
2007-03-31
The overall objective of this project was to increase heavy oil reserves in slope and basin clastic (SBC) reservoirs through the application of advanced reservoir characterization and thermal production technologies. The project involved improving thermal recovery techniques in the Tar Zone of Fault Blocks II-A and V (Tar II-A and Tar V) of the Wilmington Field in Los Angeles County, near Long Beach, California. A primary objective has been to transfer technology that can be applied in other heavy oil formations of the Wilmington Field and other SBC reservoirs, including those under waterflood. The first budget period addressed several producibility problems in the Tar II-A and Tar V thermal recovery operations that are common in SBC reservoirs. A few of the advanced technologies developed include a three-dimensional (3-D) deterministic geologic model, a 3-D deterministic thermal reservoir simulation model to aid in reservoir management and subsequent post-steamflood development work, and a detailed study on the geochemical interactions between the steam and the formation rocks and fluids. State of the art operational work included drilling and performing a pilot steam injection and production project via four new horizontal wells (2 producers and 2 injectors), implementing a hot water alternating steam (WAS) drive pilot in the existing steamflood area to improve thermal efficiency, installing a 2400-foot insulated, subsurface harbor channel crossing to supply steam to an island location, testing a novel alkaline steam completion technique to control well sanding problems, and starting on an advanced reservoir management system through computer-aided access to production and geologic data to integrate reservoir characterization, engineering, monitoring, and evaluation. The second budget period phase (BP2) continued to implement state-of-the-art operational work to optimize thermal recovery processes, improve well drilling and completion practices, and evaluate the
Wood, James R.; Bornhorst, T.J.; Chittick, S.D.; Harrison, William B.; Tayjor, W. Quinlan
2001-08-07
In this project a consortium consisting of Cronus Exploration (Traverse City, MI), Michigan Technological University (Houghton, MI) and Western Michigan University (Kalamazoo, MI) proposed to develop and execute an economical and environmentally sensitive plan for recovery of hydrocarbons from an abandoned shallow-shelf carbonate field that is typical of many fields in the U.S. Midwest. This is a 5-year project that will use surface geochemistry as a tool to reduce risk in locating and producing hydrocarbons in Class II fields. The project will develop new techniques for measuring hydrocarbon gases in the soil horizon to locate new and bypassed oil in the shallow-shelf carbonate environments typified by the Dundee and Trenton Formations of the Michigan Basin (Fisher et. al., 1988). In Phase I of the project, the consortium proposes to re-develop the Vernon Oil field located in Vernon Twp, Isabella County, Michigan and produce both bypassed hydrocarbons from the original field and to locate and produce extensions of the original field.
Teaching Undergraduate Mathematics in Interactive Groups: How Does It Fit with Students' Learning?
ERIC Educational Resources Information Center
Sheryn, Louise; Ell, Fiona
2014-01-01
Debates about how undergraduate mathematics should be taught are informed by different views of what it is to learn and to do mathematics. In this qualitative study 10 students enrolled in an advanced undergraduate course in mathematics shared their views about how they best learn mathematics. After participating in a semester-long course in…
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…
Values taught, values learned, attitude and performance in mathematics
NASA Astrophysics Data System (ADS)
Limbaco, K. S. A.
2015-03-01
in mathematics even he/she did not learned values in his/her mathematics class.
NASA Astrophysics Data System (ADS)
Wardono; Waluya, S. B.; Mariani, Scolastika; Candra D, S.
2016-02-01
This study aims to find out that there are differences in mathematical literacy ability in content Change and Relationship class VII Junior High School 19, Semarang by Problem Based Learning (PBL) model with an Indonesian Realistic Mathematics Education (called Pendidikan Matematika Realistik Indonesia or PMRI in Indonesia) approach assisted Elearning Edmodo, PBL with a PMRI approach, and expository; to know whether the group of students with learning PBL models with PMRI approach and assisted E-learning Edmodo can improve mathematics literacy; to know that the quality of learning PBL models with a PMRI approach assisted E-learning Edmodo has a good category; to describe the difficulties of students in working the problems of mathematical literacy ability oriented PISA. This research is a mixed methods study. The population was seventh grade students of Junior High School 19, Semarang Indonesia. Sample selection is done by random sampling so that the selected experimental class 1, class 2 and the control experiment. Data collected by the methods of documentation, tests and interviews. From the results of this study showed average mathematics literacy ability of students in the group PBL models with a PMRI approach assisted E-learning Edmodo better than average mathematics literacy ability of students in the group PBL models with a PMRI approach and better than average mathematics literacy ability of students in the expository models; Mathematics literacy ability in the class using the PBL model with a PMRI approach assisted E-learning Edmodo have increased and the improvement of mathematics literacy ability is higher than the improvement of mathematics literacy ability of class that uses the model of PBL learning with PMRI approach and is higher than the improvement of mathematics literacy ability of class that uses the expository models; The quality of learning using PBL models with a PMRI approach assisted E-learning Edmodo have very good category.
The NIST Digital Library of Mathematical Functions
NASA Astrophysics Data System (ADS)
Clark, Charles W.
1998-05-01
Not updated since its 1964 publication, the Handbook of Mathematical Functions (Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables), ed. M. Abramowitz and I. A. Stegun, National Bureau of Standards Applied Mathematics Series v. 55 (U. S. Government Printing Office, Washington DC, 1964) presents the state of applied mathematics 40 years ago, in a form suited for computation in an age of numerical tables and mechanical calculators. Yet it remains a workhorse reference of AMO physics and of other scientific fields, having been cited in archival literature over 26,000 times since 1974 (at a still-increasing rate). To incorporate subsequent advances in basic mathematical knowledge, in computational power and technique, and in dissemination of information, the National Institute of Standards and Technology has begun a project to provide a modern source of evaluated mathematical reference data: the NIST Digital Library of Mathematical Functions. The Digital Library is designed to serve the needs of users of applied mathematics via the World Wide Web. We shall demonstrate the operation of a prototype, and hope to elicit expressed needs of the AMO community.
Pardee, Timothy S.; Lee, King; Luddy, John; Maturo, Claudia; Rodriguez, Robert; Isom, Scott; Miller, Lance D.; Stadelman, Kristin M.; Levitan, Denise; Hurd, David; Ellis, Leslie R.; Harrelson, Robin; Manuel, Megan; Dralle, Sarah; Lyerly, Susan; Powell, Bayard L
2014-01-01
Purpose The lipoate derivative CPI-613 is a first-in-class agent that targets mitochondrial metabolism. This study determined the effects of CPI-613 on mitochondrial function and defined the maximally tolerated dose (MTD), pharmacokinetics (PKs), and safety in patients with relapsed or refractory hematologic malignancies. Experimental Design Human leukemia cell lines were exposed to CPI-613 and mitochondrial function was assayed. A phase I trial was conducted in which CPI-613 was given as a 2-hour infusion on days 1 and 4 for 3 weeks every 28 days. Results CPI-613 inhibited mitochondrial respiration of human leukemia cells consistent with the proposed mechanism of action. In the phase I trial, 26 patients were enrolled. CPI-613 was well tolerated with no marrow suppression observed. When the infusion time was shortened to 1 hour renal failure occurred in 2 patients. At 3780 mg/m2, there were 2 dose-limiting toxicities (DLTs). At a dose of 2940 mg/m2 over 2 hours, no DLTs were observed, establishing this as the MTD. Renal failure occurred in a total of 4 patients and resolved in all but 1, who chose hospice care. CPI-613 has a triphasic elimination with an alpha half-life of ~1.34 hours. Of 21 evaluable, heavily pretreated, patients, 4 achieved an objective response and 2 achieved prolonged stabilization of disease for a clinical benefit rate of 29%. Following drug exposure, gene expression profiles of peripheral blood mononuclear cells from responders demonstrated immune activation. Conclusion CPI-613 inhibits mitochondrial function and demonstrates activity in a heavily pretreated cohort of patients. PMID:25165100
Cognitive functioning in mathematical problem solving during early adolescence
NASA Astrophysics Data System (ADS)
Collis, Kevin F.; Watson, Jane M.; Campbell, K. Jennifer
1993-12-01
Problem-solving in school mathematics has traditionally been considered as belonging only to the concrete symbolic mode of thinking, the mode which is concerned with making logical, analytical deductions. Little attention has been given to the place of the intuitive processes of the ikonic mode. The present study was designed to explore the interface between logical and intuitive processes in the context of mathematical problem solving. Sixteen Year 9 and 10 students from advanced mathematics classes were individually assessed while they solved five mathematics problems. Each student's problem-solving path, for each problem, was mapped according to the type of strategies used. Strategies were broadly classified into Ikonic (IK) or Concrete Symbolic (CS) categories. Students were given two types of problems to solve: (i) those most likely to attract a concrete symbolic approach; and (ii) problems with a significant imaging or intuitive component. Students were also assessed as to the vividness and controllability of their imaging ability, and their creativity. Results indicated that the nature of the problem is a basic factor in determining the type of strategy used for its solution. Students consistently applied CS strategies to CS problems, and IK strategies to IK problems. In addition, students tended to change modes significantly more often when solving CS-type problems than when solving IK-type problems. A switch to IK functioning appeared to be particularly helpful in breaking an unproductive set when solving a CS-type problem. Individual differences in strategy use were also found, with students high on vividness of imagery using IK strategies more frequently than students who were low on vividness. No relationship was found between IK strategy use and either students' degree of controllability of imagery or their level of creativity. The instructional implications of the results are discussed.
Students as Mathematics Consultants
ERIC Educational Resources Information Center
Jensen, Jennifer L.
2013-01-01
If students are going to develop reasoning and thinking skills, use their mathematical knowledge, and recognize the relevance of mathematics in their lives, they need to experience mathematics in meaningful ways. Only then will their mathematical skills be transferrable to all other parts of their lives. To promote such flexible mathematical…
Transforming Primary Mathematics
ERIC Educational Resources Information Center
Askew, Mike
2011-01-01
What is good mathematics teaching? What is mathematics teaching good for? Who is mathematics teaching for? These are just some of the questions addressed in "Transforming Primary Mathematics", a highly timely new resource for teachers which accessibly sets out the key theories and latest research in primary maths today. Under-pinned by findings…
ERIC Educational Resources Information Center
Morsy, Zaghloul, Ed.; Draxler, Alexandra, Ed.
1979-01-01
A set of articles with the theme "Mathematics for Real Life" is presented. These article titles are: (1) Teaching Mathematics as a Tool for Problem Solving; (2) New Math or New Education; (3) Hand Calculators and Math in Primary School; (4) Mass Media in the Mathematical Training of Polish Primary Teachers; (5) The Goals of Mathematics Teaching in…
Mathematical Epistemologies at Work.
ERIC Educational Resources Information Center
Noss, Richard
2002-01-01
Investigates young people's expression of mathematical ideas with a computer, the nature of mathematical practices, and the problem of mathematical meaning from cognitive and socio-cultural perspectives. Describes a mathematical activity system designed for learning and the role of digital technologies in helping to understand and reshape the…
ERIC Educational Resources Information Center
Cain, David
2007-01-01
This article presents the first part of the closing address given by the author to the 2007 Association of Teachers of Mathematics (ATM) Easter conference at Loughborough. In his closing address, the author focuses on functioning mathematically as opposed to functional mathematics. His view of functional mathematics is that the focus is on someone…
Mathematics Lessons without ...
ERIC Educational Resources Information Center
Cross, Kath; Hibbs, John
2006-01-01
In the Association of Teachers of Mathematics (ATM) Easter conference, 2006, the authors presented a list of important aspects of mathematics lessons, recommended for students to have a positive attitude to mathematics and for teachers to acquire effective teaching. The following are discussed in detail: (1) Mathematics lessons without good…
Advances in numerical and applied mathematics
NASA Technical Reports Server (NTRS)
South, J. C., Jr. (Editor); Hussaini, M. Y. (Editor)
1986-01-01
This collection of papers covers some recent developments in numerical analysis and computational fluid dynamics. Some of these studies are of a fundamental nature. They address basic issues such as intermediate boundary conditions for approximate factorization schemes, existence and uniqueness of steady states for time dependent problems, and pitfalls of implicit time stepping. The other studies deal with modern numerical methods such as total variation diminishing schemes, higher order variants of vortex and particle methods, spectral multidomain techniques, and front tracking techniques. There is also a paper on adaptive grids. The fluid dynamics papers treat the classical problems of imcompressible flows in helically coiled pipes, vortex breakdown, and transonic flows.
Mathematics education for social justice
NASA Astrophysics Data System (ADS)
Suhendra
2016-02-01
Mathematics often perceived as a difficult subject with many students failing to understand why they learn mathematics. This situation has been further aggravated by the teaching and learning processes used, which is mechanistic without considering students' needs. The learning of mathematics tends to be just a compulsory subject, in which all students have to attend its classes. Social justice framework facilitates individuals or groups as a whole and provides equitable approaches to achieving equitable outcomes by recognising disadvantage. Applying social justice principles in educational context is related to how the teachers treat their students, dictates that all students the right to equal treatment regardless of their background and completed with applying social justice issues integrated with the content of the subject in order to internalise the principles of social justice simultaneously the concepts of the subject. The study examined the usefulness of implementing the social justice framework as a means of improving the quality of mathematics teaching in Indonesia involved four teacher-participants and their mathematics classes. The study used action research as the research methodology in which the teachers implemented and evaluated their use of social justice framework in their teaching. The data were collected using multiple research methods while analysis and interpretation of the data were carried out throughout the study. The findings of the study indicated that there were a number of challengesrelated to the implementation of the social justice framework. The findings also indicated that, the teachers were provided with a comprehensive guide that they could draw on to make decisions about how they could improve their lessons. The interactions among students and between the teachers and the students improved, they became more involved in teaching and learning process. Using social justice framework helped the teachers to make mathematics more
Cognitive Predictors of Final Grades in Finite Mathematics.
ERIC Educational Resources Information Center
Troutman, James G.
1978-01-01
Grades in a college freshman course in finite mathematics were predicted from IQ, high school math grades, college board scores, and high school class ranks. The squared multiple correlation for the full model was .611. (JKS)
Using Instructional Activities Game to Promote Mathematics: Teachers' Innovative Instruction
ERIC Educational Resources Information Center
Matsuda, Toshiki
2008-01-01
NIER (National Institute of Educational Research, 2004) survey revealed that the most common attitude of Japanese high school students to mathematics is that "it is not useful in daily life but must be learnt for entrance examinations". It was also clarified that only 3.2 percent of mathematics teachers use computers in their classes. Therefore, a…
Mathematics, Critical Literacy, and Youth Participatory Action Research
ERIC Educational Resources Information Center
Yang, K. Wayne
2009-01-01
This article examines mathematics education as both the site and object of transformation for a youth PAR project in which students researched and evaluated their urban high school in Oakland, California. These youth researchers were trained as part of a sociology course as well as a mathematics class designed to both remediate gaps in math…
Math in Plain English: Literacy Strategies for the Mathematics Classroom
ERIC Educational Resources Information Center
Benjamin, Amy
2011-01-01
Do word problems and math vocabulary confuse students in your mathematics classes? Do simple keywords like "value" and "portion" seem to mislead them? Many words that students already know can have a different meaning in mathematics. To grasp that difference, students need to connect English literacy skills to math. Successful students speak,…
Achieving Standards in a Fiber Optic Mathematics Classroom.
ERIC Educational Resources Information Center
Zbiek, Rose Mary; Foletta, Gina M.
1995-01-01
In response to standards set by the National Council of Teachers of Mathematics, K-12 teachers were interviewed to investigate issues related to implementing standards in K-12 fiber optic mathematics classes. Issues include: achieving student-centered classrooms; incorporating technology into distance education; and structuring assessment so more…
Key Issue: Recruiting Science, Technology, Engineering, and Mathematics (STEM) Teachers
ERIC Educational Resources Information Center
McGraner, Kristin L.
2009-01-01
A STEM teacher is one who teaches in the fields of science, technology, engineering, and mathematics. In K-12 schooling, most STEM teachers instruct mathematics and science classes, which continue to be critical shortage areas. As part of a comprehensive human capital strategy, designing recruitment initiatives to attract qualified STEM teachers…
Does Writing Have Any Effect on Mathematics Success?
ERIC Educational Resources Information Center
Dündar, Sefa
2016-01-01
In this study, the relationship between mathematics success and the formal properties and contents of the notebooks in which students take notes during mathematics classes have been examined. The exploratory model, in which quantitative and qualitative data are used together, has been used in this study. This study consists of 176 students from 3…
Helping Continuation High School Student Become Successful in Mathematics
ERIC Educational Resources Information Center
Villegas, Ramon R.
2011-01-01
The focus of this research is to understand how to engage at risk students at a continuation high school in mastering mathematics. These students typically fail math classes, and, as a result, are unmotivated to attempt to learn principles of mathematics. The purpose of the study is to develop strategies that build their understanding of Algebra…
Web-Based Mathematics: Some "Dos" and "Don'ts"
ERIC Educational Resources Information Center
Loong, Esther Yook-Kin
2011-01-01
This case study describes an "out of field" teacher's use of the Internet to teach a range of mathematical topics in a modified Year 8 mathematics class. It highlights the importance of three factors for implementing a discernible web-based teaching strategy: appropriate choice of web objects, effective "virtual" pedagogy, and technical support…
Students' and Mathematics Teachers' Perceptions of Teacher Enthusiasm and Instruction
ERIC Educational Resources Information Center
Kunter, Mareike; Tsai, Yi-Miau; Klusmann, Uta; Brunner, Martin; Krauss, Stefan; Baumert, Jurgen
2008-01-01
This article investigates teacher enthusiasm and how it relates to instructional behaviours. We distinguished teachers' enthusiasm for the subject matter of mathematics from their enthusiasm for teaching mathematics. A total of 323 teachers and their 9th-grade classes participated in the study. Questionnaires were used to assess teachers'…
Anchoring Students' Metaperspective Discussions of History in Mathematics
ERIC Educational Resources Information Center
Jankvist, Uffe Thomas
2011-01-01
The article discusses an empirical study on the use of history (as a goal) in mathematics education. A historical module was designed and implemented in a Danish upper secondary class to study how students' discussions of metaperspective issues of the historical development of mathematics may be anchored in the taught and learned subject matter of…
Didactic Material Confronted with the Concept of Mathematical Literacy
ERIC Educational Resources Information Center
Gellert, Uwe
2004-01-01
This paper reflects on the use of didactic material in mathematics classes. It focuses on the mathematical activities of students and the didactical activities of teachers. Its point of departure is a critique of technical-managerial approaches to teaching, learning, and innovation. Based on this critique, fundamental tensions between the…
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…
Piece Rate: Applications of Industrial Engineering for the Mathematics Classroom.
ERIC Educational Resources Information Center
Owens, John E.
This is an activity-oriented guide for general mathematics classes, grades 8-12. Mathematics used includes measurement, estimation, time, computation, ratio, and money. Students assume the role of an industrial engineering technician determining the amount of time allowed and operator pay for completing an operation on a production line. A deck of…
Teacher Efficacy of High School Mathematics Co-Teachers
ERIC Educational Resources Information Center
Rimpola, Raquel C.
2011-01-01
High school mathematics inclusion classes help provide all students the access to rigorous curriculum. This study provides information about the teacher efficacy of high school mathematics co-teachers. It considers the influence of the amount of collaborative planning time on the efficacy of co-teachers. A quantitative research design was used,…
The Codevelopment of Mathematical Concepts and the Practice of Defining
ERIC Educational Resources Information Center
Kobiela, Marta; Lehrer, Richard
2015-01-01
We examined the codevelopment of mathematical concepts and the mathematical practice of defining within a sixth-grade class investigating space and geometry. Drawing upon existing literature, we present a framework for describing forms of participation in defining, what we term aspects of definitional practice. Analysis of classroom interactions…
ERIC Educational Resources Information Center
Chemecology, 1992
1992-01-01
Presents a classroom activity in which students calculate the amount and types of trash thrown out by their class at school to investigate how much trash is generated, where it goes, and speculate about alternatives. Students need to be familiar with the concepts of weight, volume, and numbers. (MCO)
Mathematical Thinking with Lower-Attaining Pupils
ERIC Educational Resources Information Center
Woodham, Liz
2008-01-01
The main strand of the NRICH project is the NRICH website (http://nrich.maths.org), which was set up in 1996 to cater for secondary-aged pupils who were attending mathematics master-classes at the Royal Institution. By 1998, problems aimed at primary children were included and the site began to provide for students aged five to 18-plus. At this…
Mathematical Building-Blocks in Engineering Mechanics
ERIC Educational Resources Information Center
Boyajian, David M.
2007-01-01
A gamut of mathematical subjects and concepts are taught within a handful of courses formally required of the typical engineering student who so often questions the relevancy of being bound to certain lower-division prerequisites. Basic classes at the undergraduate level, in this context, include: Integral and Differential Calculus, Differential…
Goal Orientations and Adolescent Mathematics Achievement
ERIC Educational Resources Information Center
Keys, Tran Dang
2013-01-01
Motivation is a fundamental educational challenge for adolescents in the United States, and particularly for immigrant youth. The motivation to achieve, especially in mathematics, declines during adolescence. Most of what is known about motivation is based on studies of predominately middle-class White students; yet the influx of immigrants over…
Mathematics Lessons from Finland and Sweden
ERIC Educational Resources Information Center
Seaberg, Rebecca L.
2015-01-01
In many ways, mathematics classrooms in Finland and Sweden are very similar to what would be considered traditional classrooms in the United States. Classes begin with checking homework and questions, followed by the teacher giving instruction in the new material, and end with students working on their new assignment. There are also interesting…
Mathematical Modelling with 9-Year-Olds
ERIC Educational Resources Information Center
English, Lyn D.; Watters, James J.
2005-01-01
This paper reports on the mathematical modelling of four classes of 4th-grade children as they worked on a modelling problem involving the selection of an Australian swimming team for the 2004 Olympics. The problem was implemented during the second year of the children's participation in a 3-year longitudinal program of modelling experiences…
Mathematics. Course in Carpentry Workbook and Tests.
ERIC Educational Resources Information Center
California State Dept. of Education, Sacramento. Bureau of Publications.
This combination workbook and testbook on mathematics is one in a series of 20 individually bound units of instruction for carpentry apprenticeship classes. Three diagnostic tests and suggestions for their administration are included to identify areas in which the apprentice may need work and study. The 12 topics covered are whole numbers;…
Using Mathcad to Teach Undergraduate Mathematical Economics.
ERIC Educational Resources Information Center
Walbert, Mark S.; Ostrosky, Anthony L.
1997-01-01
Describes the use of Mathcad, an interactive software package that responds to mathematical input, in an undergraduate economics class. Mathcad uses a rules-based programming language that "reads" the relationships among variables and constraints defined by the user, solves for unknowns, and graphs for one or more equations. (MJP)
High School Students' Attitudes towards Mathematics
ERIC Educational Resources Information Center
Yasar, Metin
2016-01-01
The purpose of this study is to determine the attitudes of students studying at different types of high schools towards mathematics classes, and to test whether or not there is a meaningful difference between the demographic properties of the students and their attitudes. The data used in this study were obtained from 1,801 students studying at…
ERIC Educational Resources Information Center
Federici, Roger A.; Skaalvik, Einar M.; Tangen, Truls N.
2015-01-01
This study explores relations between students' perceptions of the classroom goal structures, their personal goal orientations, mathematics anxiety, and help-seeking behavior in mathematics classes. The respondents were 309 Norwegian middle school students. The data were analyzed by means of structural equation modeling (SEM). The analyses…
ERIC Educational Resources Information Center
Levine, Gavrielle
This investigation traced changes in anxiety for teaching mathematics (ATM) among pre-service elementary school teachers (n=36) enrolled in a mathematics methods course by analyzing their weekly journal entries. Journal entries were coded for high level of ATM (ATM-high) or absence of ATM (ATM-absent) during the first class session, as well as…
Mathematical Modelling: A New Approach to Teaching Applied Mathematics.
ERIC Educational Resources Information Center
Burghes, D. N.; Borrie, M. S.
1979-01-01
Describes the advantages of mathematical modeling approach in teaching applied mathematics and gives many suggestions for suitable material which illustrates the links between real problems and mathematics. (GA)
ERIC Educational Resources Information Center
Konhauser, Joseph D. E.; And Others
This book provides a collection of 191 mathematical problems aimed at the advanced high school student level and above. Problems cover general mathematical areas including plane geometry, three-dimensional geometry, number theory, algebra, combinatorics and graph theory, and a number of miscellaneous questions that combine mathematical…
TIMMS Advanced 2015 Assessment Frameworks
ERIC Educational Resources Information Center
Mullis, Ina V. S., Ed.; Martin, Michael O., Ed.
2014-01-01
It is critical for countries to ensure that capable secondary school students receive further preparation in advanced mathematics and science, so that they are ready to enter challenging university-level studies that prepare them for careers in science, technology, engineering, and mathematics (STEM) fields. This group of students will become the…
Lafzi, Ardeshir; Abolfazli, Nader; Faramarzi, Masoumeh; Eyvazi, Masoumeh; Eskandari, Amir; Salehsaber, Fariba
2016-01-01
Background. The aim of the present study was to compare coronally advanced flap (CAF) plus amniotic membrane (AM) to CAF with connective tissue graft (CTG) in the treatment of Miller’s class I and II gingival recessions. Methods. Eleven healthy subjects with thirty Miller’s class І and ІІ gingival recessions ≥3 mm, were selevted for this research and randomly assigned to two groups in a split-mouth design. In the control group gingival recessions were treated with CAF and CTG; however, in the test group the lesions were treated with (AM) and CAF. The clinical parameters, including recession depth (RD), recession width (RW), keratinized tissue width (WKT), probing depth (PD) and clinical attachment level (CAL), were measured at baseline and 1, 3 and 6 months postoperatively. Statistical significance was set at P < 0.01. Results. Position changes of RD, RW, CAL, and MGJ were significant between baseline and one month after surgery (P < 0.01) in both the test and control groups and these values remained unchanged at 3- and 6-month follow-ups. There were no statistically significant differences in PD and WKT between baseline and 1-, 3- and 6-months intervals postoperatively. The mean root coverage values after 6 months were 75.5% and 63.1% for two groups, respectively. The mean recession depth reductions were 2.63±0.63 mm and 2±1.4 mm in the test and control groups, respectively. Conclusion. The results of this research showed that application of AM instead of connective tissue decreased surgical operation time and patient discomfort but the amount of root coverage was not significantly different between the two methods.
Lafzi, Ardeshir; Abolfazli, Nader; Faramarzi, Masoumeh; Eyvazi, Masoumeh; Eskandari, Amir; Salehsaber, Fariba
2016-01-01
Background. The aim of the present study was to compare coronally advanced flap (CAF) plus amniotic membrane (AM) to CAF with connective tissue graft (CTG) in the treatment of Miller’s class I and II gingival recessions. Methods. Eleven healthy subjects with thirty Miller’s class І and ІІ gingival recessions ≥3 mm, were selevted for this research and randomly assigned to two groups in a split-mouth design. In the control group gingival recessions were treated with CAF and CTG; however, in the test group the lesions were treated with (AM) and CAF. The clinical parameters, including recession depth (RD), recession width (RW), keratinized tissue width (WKT), probing depth (PD) and clinical attachment level (CAL), were measured at baseline and 1, 3 and 6 months postoperatively. Statistical significance was set at P < 0.01. Results. Position changes of RD, RW, CAL, and MGJ were significant between baseline and one month after surgery (P < 0.01) in both the test and control groups and these values remained unchanged at 3- and 6-month follow-ups. There were no statistically significant differences in PD and WKT between baseline and 1-, 3- and 6-months intervals postoperatively. The mean root coverage values after 6 months were 75.5% and 63.1% for two groups, respectively. The mean recession depth reductions were 2.63±0.63 mm and 2±1.4 mm in the test and control groups, respectively. Conclusion. The results of this research showed that application of AM instead of connective tissue decreased surgical operation time and patient discomfort but the amount of root coverage was not significantly different between the two methods. PMID:27651882
Lafzi, Ardeshir; Abolfazli, Nader; Faramarzi, Masoumeh; Eyvazi, Masoumeh; Eskandari, Amir; Salehsaber, Fariba
2016-01-01
Background. The aim of the present study was to compare coronally advanced flap (CAF) plus amniotic membrane (AM) to CAF with connective tissue graft (CTG) in the treatment of Miller's class I and II gingival recessions. Methods. Eleven healthy subjects with thirty Miller's class І and ІІ gingival recessions ≥3 mm, were selevted for this research and randomly assigned to two groups in a split-mouth design. In the control group gingival recessions were treated with CAF and CTG; however, in the test group the lesions were treated with (AM) and CAF. The clinical parameters, including recession depth (RD), recession width (RW), keratinized tissue width (WKT), probing depth (PD) and clinical attachment level (CAL), were measured at baseline and 1, 3 and 6 months postoperatively. Statistical significance was set at P < 0.01. Results. Position changes of RD, RW, CAL, and MGJ were significant between baseline and one month after surgery (P < 0.01) in both the test and control groups and these values remained unchanged at 3- and 6-month follow-ups. There were no statistically significant differences in PD and WKT between baseline and 1-, 3- and 6-months intervals postoperatively. The mean root coverage values after 6 months were 75.5% and 63.1% for two groups, respectively. The mean recession depth reductions were 2.63±0.63 mm and 2±1.4 mm in the test and control groups, respectively. Conclusion. The results of this research showed that application of AM instead of connective tissue decreased surgical operation time and patient discomfort but the amount of root coverage was not significantly different between the two methods. PMID:27651882
Mathematics and Sports. Mathematical World. Volume 3.
ERIC Educational Resources Information Center
Sadovskii, L. E.; Sadovskii, A. L.
This volume contains some examples of mathematical applications in sports. Sports discussed include tennis, figure skating, gymnastics, track and field, soccer, skiing, hockey, and swimming. Problems and situations are posed and answers with thorough explanations are provided. Chapters include: (1) Mathematics and Sports; (2) What Is Applied…
Mathematics Coursework Regulates Growth in Mathematics Achievement
ERIC Educational Resources Information Center
Ma, Xin; Wilkins, Jesse L. M.
2007-01-01
Using data from the Longitudinal Study of American Youth (LSAY), we examined the extent to which students' mathematics coursework regulates (influences) the rate of growth in mathematics achievement during middle and high school. Graphical analysis showed that students who started middle school with higher achievement took individual mathematics…
Mathematics for Language, Language for Mathematics
ERIC Educational Resources Information Center
Prochazkova, Lenka Tejkalova
2013-01-01
The author discusses the balance and mutual influence of the language of instruction and mathematics in the context of CLIL, Content and Language Integrated Learning. Different aspects of the relationship of language and Mathematics teaching and learning are discussed: the benefits of using a foreign language of instruction, as well as the…
Perspectives from Mathematics Education.
ERIC Educational Resources Information Center
Sowder, Judith Threadgill
1998-01-01
Explores possible reasons for the gender differences in mathematics problem-solving strategies found in primary-grade students in the study by E. Fennema and others and considers implications of the findings for mathematics instruction. (SLD)
Mathematical and statistical analysis
NASA Technical Reports Server (NTRS)
Houston, A. Glen
1988-01-01
The goal of the mathematical and statistical analysis component of RICIS is to research, develop, and evaluate mathematical and statistical techniques for aerospace technology applications. Specific research areas of interest include modeling, simulation, experiment design, reliability assessment, and numerical analysis.
Developing My Mathematics Identity
ERIC Educational Resources Information Center
Gonzalez, Lidia
2016-01-01
Assuming the role of storyteller, the author uses her experiences as a graduate student and beginning teacher to reflect critically on issues related to mathematics, mathematics education, gender, and diversity.
Mental Mathematics Moves Ahead.
ERIC Educational Resources Information Center
Jones, Pamela
1988-01-01
The author suggests that the efficient use of mathematics in everyday life means translating situations into mathematical contexts, using a calculator and mental methods of calculation. Suggestions for teaching these concepts are included. (PK)
ERIC Educational Resources Information Center
Fox, Lynn H.
This study investigated the effectiveness of several intervention programs, in terms of increasing girls' participation in mathematics. The programs included two classes developed at Johns Hopkins University (an all-girls' accelerated mathematics class and a girls' career awareness class), and four school system-based programs based on the Study…
ERIC Educational Resources Information Center
Pratt, Dave
2012-01-01
Mathematics is often portrayed as an "abstract" cerebral subject, beyond the reach of many. In response, research with digital technology has led to innovative design in which mathematics can be experienced much like everyday phenomena. This lecture examines how careful design can "phenomenalise" mathematics and support not only engagement but…
Translations toward Connected Mathematics
ERIC Educational Resources Information Center
Applebaum, Mark; Leikin, Roza
2010-01-01
The translation principle allows students to solve problems in different branches of mathematics and thus to develop connectedness in their mathematical knowledge. Successful application of the translation principle depends on the classroom mathematical norms for the development of discussions and the comparison of different solutions to one…
Mathematics and Comprehensive Ideals
ERIC Educational Resources Information Center
Watson, Anne
2011-01-01
This article revisits methods and debates about teaching mathematics that were common in the 1980s and early 1990s, and then moves up to date with the findings from three mathematics departments that set out to make a difference for their lowest attaining students. The methods they used were distinctly focused on core mathematical ideas, and how…
Winning Women into Mathematics.
ERIC Educational Resources Information Center
Kenschaft, Patricia Clark, Ed.; Keith, Sandra Zaroodny, Ed.
Mathematics is an auspicious discipline for young people of both sexes and all ethnic groups. This booklet aims to help members of the Mathematical Association of America (MAA) and others to increase future participation of women in mathematics, to better understand their present roles, and to develop a vision of a world with greater equal…
ERIC Educational Resources Information Center
Martin, Tami S.; Speer, William R.
2009-01-01
This article describes features, consistent messages, and new components of "Mathematics Teaching Today: Improving Practice, Improving Student Learning" (NCTM 2007), an updated edition of "Professional Standards for Teaching Mathematics" (NCTM 1991). The new book describes aspects of high-quality mathematics teaching; offers a model for observing,…
Revisiting Mathematics Manipulative Materials
ERIC Educational Resources Information Center
Swan, Paul; Marshall, Linda
2010-01-01
It is over 12 years since "APMC" published Bob Perry and Peter Howard's research on the use of mathematics manipulative materials in primary mathematics classrooms. Since then the availability of virtual manipulatives and associated access to computers and interactive whiteboards have caused educators to rethink the use of mathematics manipulative…
Rural Mathematics Educator, 2002.
ERIC Educational Resources Information Center
Rural Mathematics Educator, 2002
2002-01-01
This document contains the two issues of "Rural Mathematics Educator" published in 2002. This newsletter of the Appalachian Collaborative Center for Learning, Assessment, and Instruction in Mathematics (ACCLAIM) includes articles on rural mathematics education, as well as information and descriptions of professional development opportunities for…
Mathematics and Global Survival.
ERIC Educational Resources Information Center
Schwartz, Richard H.
This resource was written to provide students with an awareness of critical issues facing the world today. In courses for college students, it can motivate their study of mathematics, teach them how to solve mathematical problems related to current global issues, provide coherence to mathematical studies through a focus on issues of human…
ERIC Educational Resources Information Center
Walshaw, Margaret
2014-01-01
This paper explores contemporary thinking about learning mathematics, and within that, social justice within mathematics education. The discussion first looks at mechanisms offered by conventional explanations on the emancipatory project and then moves towards more recent insights developed within mathematics education. Synergies are drawn between…
Making Mathematics Culturally Relevant.
ERIC Educational Resources Information Center
Moyer, Patricia
2001-01-01
Examines three strands of elementary mathematics--numerals and counting, recording and calculating, and mathematics exploration and play--and provides ways to integrate culture and mathematics experiences in each area. Specific topics include Egyptian methods for multiplication, the abacus, and the words for the numbers 1-10 in seven different…
Mathematical Epistemologies at Work.
ERIC Educational Resources Information Center
Noss, Richard
In this paper, I draw together a corpus of findings derived from two sources: studies of students using computers to learn mathematics, and research into the use of mathematics in professional practice. Using this as a basis, I map some elements of a theoretical framework for understanding the nature of mathematical knowledge in use, and how it is…
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…
ERIC Educational Resources Information Center
Gallian, Joseph A., Ed.
2010-01-01
"Mathematics and Sports", edited by Joseph A. Gallian, gathers 25 articles that illuminate the power and role of mathematics in the worlds of professional and recreational play. Divided into sections by the kind of sports, the book offers source materials for classroom use and student projects. Readers will encounter mathematical ideas from an…
A "Mathematics Background Check"
ERIC Educational Resources Information Center
Hubisz, John
2009-01-01
Early in my career someone else reported that the best indicator of success in calculus-based physics (CBP) at our school was whether students had taken mathematics in a certain region of New Brunswick. I sat down with a very longtime mathematics teacher and asked him what he thought students should know in mathematics after high school to succeed…
ERIC Educational Resources Information Center
Posey, Johnsie Jo, Ed.; And Others
This manual is a collection of materials and teaching strategies to motivate the development of mathematical ideas in secondary school mathematics programs or in beginning college mathematics programs. The unit is written for the instructor with step-by-step procedures including lists of needed materials. The exercises in this unit also appear in…
Mathematics and Mobile Learning
ERIC Educational Resources Information Center
Sayed, Fayez
2015-01-01
The wide range of Mathematical Apps targeting different mathematical concepts and the various types of mobile devices available present a demanding and challenging problem to the teaching and learning in the field of mathematics. In an attempt to address this issue, a few Apps were selected, implemented and tested in this work. [For complete…
ERIC Educational Resources Information Center
Ortiz-Franco, Luis
An historical perspective reveals that sophisticated mathematical activity has been going on in the Latino culture for thousands of years. This paper provides a general definition of the area of mathematics education that deals with issues of culture and mathematics (ethnomathematics) and defines what is meant by the term Latino in this essay.…
Mathenger Hunt: Mathematics Matters.
ERIC Educational Resources Information Center
Falba, Christy J.; Weiss, Maria J.
1991-01-01
Presented is an activity which shows how mathematics is used in real life and helps to establish a need for mathematics in students' futures. Adapted from a scavenger-hunt idea, this activity helps students to discover that almost every career makes use of mathematics. (KR)
Mathematics. [SITE 2001 Section].
ERIC Educational Resources Information Center
Connell, Michael L., Ed.; Lowery, Norene Vail, Ed.; Harnisch, Delwyn L., Ed.
This document contains the following papers on mathematics from the SITE (Society for Information Technology & Teacher Education) 2001 conference: "Secondary Mathematics Methods Course with Technology Units: Encouraging Pre-Service Teachers To Use Technology" (Rajee Amarasinghe); "Competency Exams in College Mathematics" (Kathy R. Autrey and Leigh…
Applying Mathematical Processes (AMP)
ERIC Educational Resources Information Center
Kathotia, Vinay
2011-01-01
This article provides insights into the "Applying Mathematical Processes" resources, developed by the Nuffield Foundation. It features Nuffield AMP activities--and related ones from Bowland Maths--that were designed to support the teaching and assessment of key processes in mathematics--representing a situation mathematically, analysing,…
Abraham, Ralph
2015-12-01
Is there a world of mathematics above and beyond ordinary reality, as Plato proposed? Or is mathematics a cultural construct? In this short article we speculate on the place of mathematical reality from the perspective of the mystical cosmologies of the ancient traditions of meditation, psychedelics, and divination.
ERIC Educational Resources Information Center
Galligan, Linda
2016-01-01
A "National Numeracy Report" and the Australian Curriculum (2014) have recognised the importance of language in mathematics. The general capabilities contained within the "Australian Curriculum: Mathematics" (2014) highlight literacy as an important tool in the teaching and learning of mathematics, from the interpretation of…
Infusing Mathematics Content into a Methods Course: Impacting Content Knowledge for Teaching
ERIC Educational Resources Information Center
Burton, Megan; Daane, C. J.; Giesen, Judy
2008-01-01
This study compared content knowledge for teaching mathematics differences between elementary pre-service teachers in a traditional versus an experimental mathematics methods course. The experimental course replaced 20 minutes of traditional methods, each class, with an intervention of elementary mathematics content. The difference between groups…
Group by Subject or by Ability? Tertiary Mathematics for Engineering Students
ERIC Educational Resources Information Center
Plank, Michael; James, Alex; Hannah, John
2011-01-01
The mathematics topics taught to engineering students at university are ostensibly no different to those taught to mathematics majors, so should these students be taught together or separately? Should engineering students be segregated by ability in their mathematics classes? This study analyses the grades of over 1000 engineering students, and…
Good Mathematics Teaching from Mexican High School Students' Perspective
ERIC Educational Resources Information Center
Martinez-Sierra, Gustavo
2014-01-01
This paper reports a qualitative research that identifies the characteristics of good mathematics teaching from the perspective of Mexican high school students. For this purpose, the social representations of a good mathematics teacher and a good mathematics class were identified in a group of 67 students. In order to obtain information, a…
Salient Beliefs of Secondary School Mathematics Teachers Using Dynamic Geometry Software
ERIC Educational Resources Information Center
Chan, Kan Kan
2015-01-01
Even though dynamic geometry software (DGS) is becoming an emergent instructional tool for mathematics teachers, many teachers are still in the process of consideration about whether to use it. In order to encourage teachers to use DGS, this study seeks to discover mathematics teachers' salient beliefs about the use of DGS in mathematics class.…
ERIC Educational Resources Information Center
Voss, Richard; Rickards, Tony
2016-01-01
This study involves an Australian Western Victorian District High School year nine mixed ability mathematics class learning mathematics using social justice pedagogy. The learning intent of the unit required students to compare their own lifestyles against different families from around the world and use mathematics as a tool to investigate…
NASA Astrophysics Data System (ADS)
White, M. Catherine
Typical 101 courses discourage many students from pursuing higher level science and math courses. Introductory classes in science and math serve largely as a filter, screening out all but the most promising students, and leaving the majority of college graduates—including most prospective teachers—with little understanding of how science works, according to a study conducted for the National Science Foundation. Because few teachers, particularly at the elementary level, experience any collegiate science teaching that stresses skills of inquiry and investigation, they simply never learn to use those methods in their teaching, the report states.
ERIC Educational Resources Information Center
South Dakota Dept. of Environmental Protection, Pierre.
This booklet is intended to aid the prospective waste treatment plant operator or drinking water plant operator in learning to solve mathematical problems, which is necessary for Class I certification. It deals with the basic mathematics which a Class I operator may require in accomplishing day-to-day tasks. The book also progresses into problems…
The Effects of Extended Time and Teacher Professional Development on Student Mathematics Performance
ERIC Educational Resources Information Center
Gould, Kenneth Brett
2010-01-01
This study researched a popularly used mathematics intervention, an extended time algebra class, and associated teacher professional development, to determine the effectiveness of this intervention on improving student mathematics performance. The study investigated whether providing additional time in class to struggling students along with…
The Clock Project: Gears as Visual-Tangible Representations for Mathematical Concepts
ERIC Educational Resources Information Center
Andrade, Alejandro
2011-01-01
As we have noticed from our own classroom experiences, children often find it difficult to identify the adequate operations learned in mathematics class when they are solving mechanical-operators problems in Technology class. We wanted to design a project that exploits the idea of a hands-on relationship between mathematics and technology to teach…
ERIC Educational Resources Information Center
Bolduc, Elroy J., Jr.; And Others
The purpose of this project is to teach learning and understanding of mathematics at the ninth grade level through the use of science experiments. This part of the program contains significant amounts of material normally found in a beginning algebra class. The material should be found useful for classes in general mathematics as a preparation for…
An Assessment Model for Proof Comprehension in Undergraduate Mathematics
ERIC Educational Resources Information Center
Mejia-Ramos, Juan Pablo; Fuller, Evan; Weber, Keith; Rhoads, Kathryn; Samkoff, Aron
2012-01-01
Although proof comprehension is fundamental in advanced undergraduate mathematics courses, there has been limited research on what it means to understand a mathematical proof at this level and how such understanding can be assessed. In this paper, we address these issues by presenting a multidimensional model for assessing proof comprehension in…
A Framework for Mathematical Thinking: The Case of Linear Algebra
ERIC Educational Resources Information Center
Stewart, Sepideh; Thomas, Michael O. J.
2009-01-01
Linear algebra is one of the unavoidable advanced courses that many mathematics students encounter at university level. The research reported here was part of the first author's recent PhD study, where she created and applied a theoretical framework combining the strengths of two major mathematics education theories in order to investigate the…
An Urban Middle School Case Study of Mathematics Achievement
ERIC Educational Resources Information Center
Paul, Cynthia S.; Vaidya, Sheila R.
2014-01-01
What does it take to change a school's mathematics achievement profile from low to one that is proficient and advanced? Is this transformed achievement profile sustainable? Such is the story presented here, in this three-phase case study of a K-8 urban charter school's mathematics program. The first phase discusses the school's…
The Chess and Mathematics Connection: More than Just a Game
ERIC Educational Resources Information Center
Berkman, Robert M.
2004-01-01
This article describes connections between chess and mathematics, including examples of activities that connect chess with set theory, patterns, algebra, geometry, combinatorics, and Pascal's triangle. The author observes that competitive games play a dual purpose in advancing the work of mathematics educators: to reinforce a specific skill and to…
Investigating Mathematical Knowledge for Teaching Proof in Professional Development
ERIC Educational Resources Information Center
Lesseig, Kristin
2016-01-01
Research documenting teachers' fragile understanding of proof and how it is advanced suggests that enhancing the role of proof in school mathematics will demand substantial teacher learning. To date, there is little research detailing what mathematical knowledge might support the teaching of proof or how professional development (PD) might afford…
Mathematics Content Coverage and Student Learning in Kindergarten
ERIC Educational Resources Information Center
Engel, Mimi; Claessens, Amy; Watts, Tyler; Farkas, George
2016-01-01
Analyzing data from two nationally representative kindergarten cohorts, we examine the mathematics content teachers cover in kindergarten. We expand upon prior research, finding that kindergarten teachers report emphasizing basic mathematics content. Although teachers reported increased coverage of advanced content between the 1998-1999 and…
How Mathematics Teaching Can Be Like Improv Theater
ERIC Educational Resources Information Center
George, Mike
2012-01-01
When this author first began to take classes in theater and comedy improvisation, his motives were largely creative and social, though there was some supposition that his mathematics teaching (at a community college) could benefit as well. Students are known to tout their favorite teachers as "funny." Taking improv classes would presumably loosen…
Effects of Game Technology on Elementary Student Learning in Mathematics
ERIC Educational Resources Information Center
Shin, Namsoo; Sutherland, LeeAnn M.; Norris, Cathleen A.; Soloway, Elliot
2012-01-01
This paper reports the effects of game technology on student learning in mathematics as investigated in two data sets collected from slightly different subjects. In the first, 41 second graders (7 or 8 years old) from two classes used either a technology-based game or a paper-based game for 5 weeks. For the next 13 weeks, both classes used a…
College Algebra Students' Attitudes toward Mathematics in Their Careers
ERIC Educational Resources Information Center
Champion, Joe; Parker, Frieda; Mendoza-Spencer, Bernadette; Wheeler, Ann
2011-01-01
The purpose of this study was to identify the degree to which college algebra students' value mathematical skills in their prospective careers. A survey was administered to N = 144 students in 6 college algebra classes at a mid-sized doctoral granting university. Students in half the classes completed a data analysis project, and half of the…
Assessing and Improving the Psychosocial Environment of Mathematics Classrooms.
ERIC Educational Resources Information Center
Fraser, Barry J.; And Others
1989-01-01
Describes the development and validation of a short form of the My Class Inventory (MCI) assessing classroom psychosocial environment. Reports a case study involving the use of the short form of MCI in attempts to improve a sixth-grade mathematics class. Provides all 25 items of the short version of MCI. (YP)
Effects of Clicker Use on Calculus Students' Mathematics Anxiety
ERIC Educational Resources Information Center
Batchelor, John
2015-01-01
This paper reports the results of a survey study of clicker use and mathematics anxiety among students enrolled in an undergraduate calculus course during the Fall 2013 semester. Students in two large lecture sections of calculus completed surveys at the beginning and end of the course. One class used clickers, whereas the other class was taught…
Mathematical models of behavior of individual animals.
Tsibulsky, Vladimir L; Norman, Andrew B
2007-01-01
This review is focused on mathematical modeling of behaviors of a whole organism with special emphasis on models with a clearly scientific approach to the problem that helps to understand the mechanisms underlying behavior. The aim is to provide an overview of old and contemporary mathematical models without complex mathematical details. Only deterministic and stochastic, but not statistical models are reviewed. All mathematical models of behavior can be divided into two main classes. First, models that are based on the principle of teleological determinism assume that subjects choose the behavior that will lead them to a better payoff in the future. Examples are game theories and operant behavior models both of which are based on the matching law. The second class of models are based on the principle of causal determinism, which assume that subjects do not choose from a set of possibilities but rather are compelled to perform a predetermined behavior in response to specific stimuli. Examples are perception and discrimination models, drug effects models and individual-based population models. A brief overview of the utility of each mathematical model is provided for each section.