Connecting Changes in Secondary Mathematics Teachers' Knowledge to Their Experiences in a Professional Development Workshop

ERIC Educational Resources Information Center

Boston, Melissa D.

2013-01-01

This investigation describes secondary mathematics teachers' learning and instructional change following their participation in a professional development workshop, the Enhancing Secondary Mathematics Teacher Preparation Project (ESP) (2004-2005), specifically focused on the selection and implementation of cognitively challenging mathematical…

Democratizing Access to Core Mathematics across Grades 9-12

ERIC Educational Resources Information Center

Hegedus, Stephen; Dalton, Sara; Brookstein, Arden; Tapper, John; Heller, Eric

2011-01-01

The authors' proposed work builds upon 12+ years of research collectively known as the "SimCalc Projects." SimCalc Connected MathWorlds (SCM) combines two innovative technological ingredients to address core mathematical ideas in deep and sustainable ways for mathematics learners. Software that addresses content issues through dynamic…

Reflection-for-Action and the Choice or Design of Examples in the Teaching of Mathematics

ERIC Educational Resources Information Center

Olteanu, Constanta

2017-01-01

A qualitative study documented the use of examples in connection with reflection-for-action by mathematics educators. This article focuses on the use of mathematical examples that were chosen or designed by the teachers during lesson planning. The data are drawn from a 3-year project intended to make educational research in mathematics more useful…

Blogging and the Learning of Linear Algebra Concepts through Contextual Mathematics

ERIC Educational Resources Information Center

Nehme, Zeina

2011-01-01

Contextual mathematics is an area of mathematics teaching and learning through which researchers and educators believe that mathematics is better taught, and learned, if connected to real-life situations and problems. It is also very helpful if it makes sense in the students' world. Thus, the author decided to start a project by creating a blog,…

Generating Sudoku puzzles and its applications in teaching mathematics

NASA Astrophysics Data System (ADS)

Evans, Ryan; Lindner, Brett; Shi, Yixun

2011-07-01

This article presents a few methods for generating Sudoku puzzles. These methods are developed based on the concepts of matrix, permutation, and modular functions, and therefore can be used to form application examples or student projects when teaching various mathematics courses. Mathematical properties of these methods are studied, connections between the methods are investigated, and student projects are suggested. Since most students tend to enjoy games, studies like this may help raising students' interests and enhance their problem-solving skills.

Professional Development Strategically Connecting Mathematics and Science: The Impact on Teachers' Confidence and Practice

ERIC Educational Resources Information Center

Baxter, Juliet A.; Ruzicka, Angie; Beghetto, Ronald A.; Livelybrooks, Dean

2014-01-01

The press to integrate mathematics and science comes from researchers, business leaders, and educators, yet research that examines ways to support teachers in relating these disciplines is scant. Using research on science and mathematics professional development, we designed a professional development project to help elementary teachers improve…

Meeting the Challenges of Diversity and Relevance.

ERIC Educational Resources Information Center

Schwan-Smith, Margaret; Silver, Edward A.

1995-01-01

Discusses the QUASAR Project, which has worked with middle school teachers in disadvantaged communities in order to help increase the relevance of mathematics by making connections between the mathematics taught in school and the lives of students. (16 references) (MKR)

Meaningful Statistics in Professional Practices as a Bridge between Mathematics and Science: An Evaluation of a Design Research Project

ERIC Educational Resources Information Center

Dierdorp, Adri; Bakker, Arthur; van Maanen, Jan A.; Eijkelhof, Harrie M. C.

2014-01-01

Background: Creating coherence between school subjects mathematics and science and making these school subjects meaningful are still topical challenges. This study investigates how students make meaningful connections between mathematics, statistics, science and applications when they engage in a specially developed unit that is based on…

Balancing Structure and Creativity in Culminating Projects for Liberal Arts Mathematics

ERIC Educational Resources Information Center

Kasman, Reva

2014-01-01

Liberal arts mathematics courses can provide non-majors the opportunity to connect mathematical topics with areas of personal interest. This article describes two end-of-unit writing assignments (on voting and graph theory) that have been structured so that each student is able to synthesize course material in a unique way, while ensuring a…

UnCommon Knowledge: Projects That Help Middle-School-Age Youth Discover the Science and Mathematics in Everyday Life. Volume Two: Hands-On Math Projects.

ERIC Educational Resources Information Center

Carter, Carolyn S.; Cohen, Sara; Keyes, Marian; Kusimo, Patricia S.; Lunsford, Crystal

This guide contains hands-on mathematics activities to connect middle-school students to the traditional knowledge of their grandparents and elders. Because girls often lose interest in math at the middle-school level, and because women in some communities (especially in rural areas) are seldom involved in work with an obvious math basis, the…

Connecting Adolescent Girls of Color and Math/Science Interventions.

ERIC Educational Resources Information Center

Murphy, Diane S.; Sullivan, Kathleen

This paper describes a study of Project SPLASH!, a program for minority adolescent girls with high potential in mathematics and science. This paper aims to contribute to the knowledge base on characteristics of program interventions which may increase the representation of women and minorities in the fields of mathematics and science. Findings on…

"MathePraxis"--Connecting First-Year Mathematics with Engineering Applications

ERIC Educational Resources Information Center

Harterich, Jorg; Kiss, Christine; Rooch, Aeneas; Monnigmann, Martin; Darup, Moritz Schulze; Span, Roland

2012-01-01

First-year engineering students often complain about their mathematics courses as the significance of the difficult and abstract calculus to their field of study remains unclear. We report on the project "MathePraxis", a feasibility study which was designed as a means to give first-year students some impression about the use of…

R A Fisher, design theory, and the Indian connection.

PubMed

Rau, A R P

2009-09-01

Design Theory, a branch of mathematics, was born out of the experimental statistics research of the population geneticist R A Fisher and of Indian mathematical statisticians in the 1930s. The field combines elements of combinatorics, finite projective geometries, Latin squares, and a variety of further mathematical structures, brought together in surprising ways. This essay will present these structures and ideas as well as how the field came together, in itself an interesting story.

Mathematical biology modules based on modern molecular biology and modern discrete mathematics.

PubMed

Robeva, Raina; Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network.

Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics

PubMed Central

Davies, Robin; Hodge, Terrell; Enyedi, Alexander

2010-01-01

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to introduce students to mathematical methods beyond the interface of biology with calculus. Based on ongoing research, and designed to use the project-based-learning approach, the modules highlight applications of modern discrete mathematics and algebraic statistics to pressing problems in molecular biology. For the majority of projects, calculus is not a required prerequisite and, due to the modest amount of mathematical background needed for some of the modules, the materials can be used for an early introduction to mathematical modeling. At the same time, most modules are connected with topics in linear and abstract algebra, algebraic geometry, and probability, and they can be used as meaningful applied introductions into the relevant advanced-level mathematics courses. Open-source software is used to facilitate the relevant computations. As a detailed example, we outline a module that focuses on Boolean models of the lac operon network. PMID:20810955

Instructional Experiences That Align with Conceptual Understanding in the Transition from High School Mathematics to College Calculus

ERIC Educational Resources Information Center

Wade, Carol H.; Sonnert, Gerhard; Sadler, Philip M.; Hazari, Zahra

2017-01-01

Using data from the first National study on high school preparation for college calculus success, the Factors Influencing College Success in Mathematics (FICSMath) project, this article connects student high school instructional experiences to college calculus performance. The findings reported here reveal that students were better prepared for…

Connecting mathematics learning through spatial reasoning

NASA Astrophysics Data System (ADS)

Mulligan, Joanne; Woolcott, Geoffrey; Mitchelmore, Michael; Davis, Brent

2018-03-01

Spatial reasoning, an emerging transdisciplinary area of interest to mathematics education research, is proving integral to all human learning. It is particularly critical to science, technology, engineering and mathematics (STEM) fields. This project will create an innovative knowledge framework based on spatial reasoning that identifies new pathways for mathematics learning, pedagogy and curriculum. Novel analytical tools will map the unknown complex systems linking spatial and mathematical concepts. It will involve the design, implementation and evaluation of a Spatial Reasoning Mathematics Program (SRMP) in Grades 3 to 5. Benefits will be seen through development of critical spatial skills for students, increased teacher capability and informed policy and curriculum across STEM education.

Using the GLOBE Program To Enhance Classroom Teaching.

ERIC Educational Resources Information Center

Ramey, Linda K.; Tomlin, James

The Wright State University Global Learning and Observations to Benefit the Environment (GLOBE) Franchise has developed a project to fill the need for direct, strong connections linking science, mathematics and technology to classroom curriculum and students' learning of integrated, relevant content. GLOBE is an international project that involves…

Experiencing Mathematics for Connected Understanding: Using the RAMR Framework for Accelerating Students' Learning

ERIC Educational Resources Information Center

Nutchey, David; Grant, Edlyn; English, Lyn

2016-01-01

This paper reports on the use of the RAMR framework within a curriculum project. Description of the RAMR framework's theoretical bases is followed by two descriptions of students' learning in the classroom. Implications include the need for the teacher to connect student activities in a structured sequence, although this may be predicated on the…

Negotiating the Boundaries Between Mathematics and Physics

NASA Astrophysics Data System (ADS)

Radtka, Catherine

2015-07-01

This paper examines physics and mathematics textbooks published in France at the end of the 1950s and at the beginning of the 1960s for children aged 11-15 years old. It argues that at this "middle school" level, textbooks contributed to shape cultural representations of both disciplines and their mutual boundaries through their contents and their material aspect. Further, this paper argues that far from presenting clearly delimited subjects, late 1950s textbooks offered possible connections between mathematics and physics. It highlights that such connections depended upon the type of schools the textbooks aimed at, at a time when educational organization still differentiated pupils of this age. It thus stresses how the audience and its projected aptitudes and needs, as well as the cultural teaching traditions of the teachers in charge, were inseparable from the diverse conceptions of mathematics and physics and their relationships promoted through textbooks of the time.

Using Our Classroom Walls: A Project for Visualizing the Development of Conceptual Understanding

ERIC Educational Resources Information Center

Mayes-Tang, Sarah

2018-01-01

Practices such as making connections between topics, prioritizing content, and identifying broad themes are essential to learning mathematics. This paper describes a project designed to integrate these synthesizing activities into an abstract algebra class. Students used a classroom wall to record and organize their collective learning and…

Integration of Mathematical and Natural-Science Knowledge in School Students' Project-Based Activity

ERIC Educational Resources Information Center

Luneeva, Olga L.; Zakirova, Venera G.

2017-01-01

New educational standards implementation prioritizes the projective beginning of training in school education. Therefore, consideration of educational activity only as the process of obtaining ready knowledge should be abandoned. Thus the relevance of the studied problem is substantiated by the need to develop methodical works connected with the…

Modeling Spin Creation and Mass Generation in the Electron Motivated by an Angle Doubler Mechanism

DTIC Science & Technology

2017-11-01

electricity. The second author and project manager (W. Liu), suggested the use of an angle doubler mechanism to improve the length of the movements...to present an attempt to explain this effect using geometry. The model is extended by projective geometry, which provides a deeper understanding of...LANGUAGE OF PROJECTIVE GEOMETRY ...................21 10. CONNECTION WITH MATHEMATICAL PHYSICS

Helping Pre-Service Mathematics Teachers Connect Theory and Practice: Using Reading, Writing, and Observation Protocols to Structure Field Experiences

ERIC Educational Resources Information Center

Cross, Stephanie Behm; Bayazit, Nermin Tosmur

2014-01-01

The authors designed the project described her in order to address their students' expressed frustrations at the perceived disconnect between theory and practice. The project combined course readings, journaling, collaboratively created observation protocols, and classroom observation into a semester-long iterative assignment. The students' work…

Expanding the "CBAL"™ Mathematics Assessments to Elementary Grades: The Development of a Competency Model and a Rational Number Learning Progression. Research Report. ETS RR-14-08

ERIC Educational Resources Information Center

Arieli-Attali, Meirav; Cayton-Hodges, Gabrielle

2014-01-01

Prior work on the "CBAL"™ mathematics competency model resulted in an initial competency model for middle school grades with several learning progressions (LPs) that elaborate central ideas in the competency model and provide a basis for connecting summative and formative assessment. In the current project, we created a competency model…

Who Was the Real William Shakespeare?

ERIC Educational Resources Information Center

Edwards, Michael Todd

2009-01-01

This article highlights a project that encourages students to connect reading and mathematics instruction by using a data analysis approach. Students analyze sonnets from statistical, literary, and historical points of view in an effort to uncover the true identity of William Shakespeare. (Contains 10 figures.)

Technology Development, Implementation and Assessment: K-16 Pre-Service, In-Service and Distance Learning Initiatives

NASA Technical Reports Server (NTRS)

Williams, William B., Jr.

1999-01-01

The technologies associated with distance learning are evolving rapidly, giving to educators a potential tool for enhancing the educational experiences of large numbers of students simultaneously. This enhancement, in order to be effective, must take into account the various agendas of teachers, administrators, state systems, and of course students. It must also make use of the latest research on effective pedagogy. This combination, effective pedagogy and robust information technology, is a powerful vehicle for communicating, to a large audience of school children the excitement of mathematics and science--an excitement that for the most part is now well-hidden. This project,"Technology Development, Implementation and Assessment," proposed to bring to bear on the education of learners in grades 3 - 8 in science and mathematics both advances in information technology and in effective pedagogy. Specifically, the project developed components NASA CONNECT video series--problem-based learning modules that focus on the scientific method and that incorporate problem-based learning scenarios tied to national mathematics and science standards. These videos serve two purposes; they engage students in the excitement of hands-on learning and they model for the teachers of these students the problem-based learning practices that are proving to be excellent ways to teach science and mathematics to school students. Another component of NASA CONNECT is the accompanying web-site.

Geometry and Op Art.

ERIC Educational Resources Information Center

Brewer, Evelyn J.

1999-01-01

Describes an activity in which students use computers and techniques from Op Art to learn various geometric concepts. Allows them to see the distinct connection between art and mathematics from a personal perspective. Reinforces writing, speaking, and drawing skills while creating slide shows related to the project. (ASK)

Boundary crossing and brokering between disciplines in pre-service mathematics teacher education

NASA Astrophysics Data System (ADS)

Goos, Merrilyn; Bennison, Anne

2017-12-01

In many countries, pre-service teacher education programs are structured so that mathematics content is taught in the university's mathematics department and mathematics pedagogy in the education department. Such program structures make it difficult to authentically interweave content with pedagogy in ways that acknowledge the roles of both mathematicians and mathematics educators in preparing future teachers. This article reports on a project that deliberately fostered collaboration between mathematicians and mathematics educators in six Australian universities in order to investigate the potential for learning at the boundaries between the two disciplinary communities. Data sources included two rounds of interviews with mathematicians and mathematics educators and annual reports prepared by each participating university over the three years of the project. The study identified interdisciplinary boundary practices that led to integration of content and pedagogy through new courses co-developed and co-taught by mathematicians and mathematics educators, and new approaches to building communities of pre-service teachers. It also developed an evidence-based classification of conditions that enable or hinder sustained collaboration across disciplinary boundaries, together with an empirical grounding for Akkerman and Bakker's conceptualisation of transformation as a mechanism for learning at the boundary between communities. The study additionally highlighted the ambiguous nature of boundaries and implications for brokers who work there to connect disciplinary paradigms.

Implications of Informal Education Experiences for Mathematics Teachers' Ability to Make Connections beyond Formal Classroom

ERIC Educational Resources Information Center

Popovic, Gorjana; Lederman, Judith S.

2015-01-01

The Common Core Standard for Mathematical Practice 4: Model with Mathematics specifies that mathematically proficient students are able to make connections between school mathematics and its applications to solving real-world problems. Hence, mathematics teachers are expected to incorporate connections between mathematical concepts they teach and…

Exploring mathematical connections of prospective middle-grades teachers through card-sorting tasks

NASA Astrophysics Data System (ADS)

Eli, Jennifer A.; Mohr-Schroeder, Margaret J.; Lee, Carl W.

2011-09-01

Prospective teachers are expected to construct, emphasise, integrate, and make use of mathematical connections; in doing so, they acquire an understanding of mathematics that is fluid, supple, and interconnected (Evitts Dissertation Abstracts International, 65(12), 4500, 2005). Given the importance of mathematical connection making, an exploratory study was conducted to consider the ability of prospective middle-grades teachers to make mathematical connections while engaging in card-sorting activities. Twenty-eight prospective middle-grades teachers participated in both an open and closed card sort. Data were analysed using constant comparative methods to extract meta themes to describe the types of connections made. Findings indicate that these prospective teachers tended to make more procedural- and categorical-type mathematical connections and far fewer derivational or curricular mathematical connections.

Supporting Teachers' Understandings of Function through Online Professional Development

ERIC Educational Resources Information Center

Silverman, Jason

2017-01-01

This article explores one segment of an extended research and development project that was conducted to better understand the ways online teacher professional development can support teachers' development of deep and connected mathematical understandings. In particular, this article discusses teachers' understandings of the concept of…

Identifying STEM Concepts Associated with Junior Livestock Projects

ERIC Educational Resources Information Center

Wooten, Kate; Rayfield, John; Moore, Lori L.

2013-01-01

Science, technology, engineering, and mathematics (STEM) education is intended to provide students with a cross-subject, contextual learning experience. To more fully prepare our nation's students to enter the globally competitive workforce, STEM integration allows students to make connections between the abstract concepts learned in core subject…

Kaleidoscopes and Mathematics: An Elegant Connection

ERIC Educational Resources Information Center

Miller, Catherine M.

2017-01-01

This article describes a project in which students investigate the question: What dihedral angles between pairs of mirrors in a kaleidoscope result in perfectly symmetric images? The unit culminates with students building their own kaleidoscopes. This content aligns with parts of the Common Core's standards for fifth grade (classify…

UnCommon Knowledge: Projects That Help Middle-School-Age Youth Discover the Science and Mathematics in Everyday Life. Volume One: Hands-On Science Projects.

ERIC Educational Resources Information Center

Carter, Carolyn S.; Keyes, Marian; Kusimo, Patricia S.; Lunsford, Crystal

This guide contains hands-on science activities to connect middle-school students to the traditional knowledge of their grandparents and elders. Because girls often lose interest in science at the middle-school level, and because women in some communities (especially in rural areas) are seldom involved in work with an obvious science basis, the…

Reflection-for-action and the choice or design of examples in the teaching of mathematics

NASA Astrophysics Data System (ADS)

Olteanu, Constanta

2017-09-01

A qualitative study documented the use of examples in connection with reflection-for-action by mathematics educators. This article focuses on the use of mathematical examples that were chosen or designed by the teachers during lesson planning. The data are drawn from a 3-year project intended to make educational research in mathematics more useful to teachers. The focus in the present article was on how teachers reflected about students' learning as they prepared lessons. Analysis of the data showed that reflection-for-action was an effective teacher practice and useful for increasing the quality of the content the teacher intended to cover in a teaching situation. However, at the beginning of the study the teachers could not provide a proper explanation of what reflection was about. Their reflections were limited to preparing for the lessons in relation to the actual curriculum in Sweden. During the study, the teachers' reflection-for-action improved as a consequence of using patterns of variation in designing examples connected to the object of learning.

Disinfection of Common Waterborne Pathogens

ERIC Educational Resources Information Center

Swim, Edward W.

2010-01-01

As part of an integrative learning experience at the end of a sophomore Calculus II course at the United States Military Academy, this project served as a multidisciplinary problem-solving exercise that explored the connections among mathematics, biology, and other fields of study. During a seven-lesson block of instruction, this module was…

Distance Learning Partnerships for Underserved Learners.

ERIC Educational Resources Information Center

Chavkin, Nancy Feyl; And Others

1994-01-01

Describes a partnership that was formed to develop a fiber optic interactive network and its interface with the development of algebra curriculum and social services in the PATH (Partnership for Access to Higher) Mathematics project in Texas. Equipment connections, costs, and classroom layout are described; and social work components are…

Early Career Teachers' Emotion and Emerging Teacher Identities

ERIC Educational Resources Information Center

Nichols, Sharon L.; Schutz, Paul A.; Rodgers, Kelly; Bilica, Kimberly

2017-01-01

The goal of our project was to develop an understanding of the connections among emotional episodes and emerging professional teacher identities of first year teachers. We interviewed eight first year mathematics and science teachers. We asked them to reflect on emotional episodes and talk about how those emotions informed their teaching…

Algebraic Concepts: What's Really New in New Curricula?

ERIC Educational Resources Information Center

Star, Jon R.; Herbel-Eisenmann, Beth A.; Smith, John P., III

2000-01-01

Examines 8th grade units from the Connected Mathematics Project (CMP). Identifies differences in older and newer conceptions, fundamental objects of study, typical problems, and typical solution methods in algebra. Also discusses where the issue of what is new in algebra is relevant to many other innovative middle school curricula. (KHR)

Hierarchical Topological Network Analysis of Anatomical Human Brain Connectivity and Differences Related to Sex and Kinship

DTIC Science & Technology

2011-10-01

Richiardi, J., Eryilmaz, H., Schwartz, S ., Vuilleumier, P., Van De Ville, D.,1499 2010. Decoding brain states from fmri connectivity graphs. Neuroimage1500...Differences Related to Sex and Kinship 5a. CONTRACT NUMBER 5b. GRANT NUMBER 5c. PROGRAM ELEMENT NUMBER 6. AUTHOR( S ) 5d. PROJECT NUMBER 5e. TASK NUMBER...5f. WORK UNIT NUMBER 7. PERFORMING ORGANIZATION NAME( S ) AND ADDRESS(ES) University of Minnesota,Institute for Mathematics and Its Applications,207

Real World Connections Through Videoconferences

NASA Technical Reports Server (NTRS)

Peterson, Ruth; Lytle, John (Technical Monitor)

2002-01-01

The Learning Technologies Project (LTP) is a partner in the National Aeronautics and Space Administration's (NASA's) educational technology program unit, an electronic community center that fosters interaction, collaboration, and sharing among educators, learners, and scientists. The goal of the NASA Glenn Research Center's Learning Technologies Project is to increase students' interest and proficiency in mathematics, science, and technology through the use of computing and communications technology and by using NASA's mission in aerospace technology as a theme. The primary components are: (1) Beginner's Guide to Aeronautics, including interactive simulation packages and teacher-created online activities. (2) NASA Virtual Visits, videoconferences (with online pre-post-conference activities) connecting students and teachers to NASA scientists and researchers.

Concept mapping learning strategy to enhance students' mathematical connection ability

NASA Astrophysics Data System (ADS)

Hafiz, M.; Kadir, Fatra, Maifalinda

2017-05-01

The concept mapping learning strategy in teaching and learning mathematics has been investigated by numerous researchers. However, there are still less researchers who have scrutinized about the roles of map concept which is connected to the mathematical connection ability. Being well understood on map concept, it may help students to have ability to correlate one concept to other concept in order that the student can solve mathematical problems faced. The objective of this research was to describe the student's mathematical connection ability and to analyze the effect of using concept mapping learning strategy to the students' mathematical connection ability. This research was conducted at senior high school in Jakarta. The method used a quasi-experimental with randomized control group design with the total number was 72 students as the sample. Data obtained through using test in the post-test after giving the treatment. The results of the research are: 1) Students' mathematical connection ability has reached the good enough level category; 2) Students' mathematical connection ability who had taught with concept mapping learning strategy is higher than who had taught with conventional learning strategy. Based on the results above, it can be concluded that concept mapping learning strategycould enhance the students' mathematical connection ability, especially in trigonometry.

Intra-mathematical connections made by high school students in performing Calculus tasks

NASA Astrophysics Data System (ADS)

García-García, Javier; Dolores-Flores, Crisólogo

2018-02-01

In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas, concepts, definitions, theorems, procedures, representations and meanings among themselves, with other disciplines or with real life. Task-based interviews were used to collect data and thematic analysis was used to analyze them. Through the analysis of the productions of the 25 participants, we identified 223 intra-mathematical connections. The data allowed us to establish a mathematical connections system which contributes to the understanding of higher concepts, in our case, the Fundamental Theorem of Calculus. We found mathematical connections of the types: different representations, procedural, features, reversibility and meaning as a connection.

Multiple Proof Approaches and Mathematical Connections

ERIC Educational Resources Information Center

Jiang, Zhonghong; O'Brien, George E.

2012-01-01

One of the most rewarding accomplishments of working with preservice secondary school mathematics teachers is helping them develop conceptually connected knowledge and see mathematics as an integrated whole rather than isolated pieces. To help students see and use the connections among various mathematical topics, the authors have paid close…

Tracing Growth of Teachers' Classroom Interactions with Representations of Functions in the Connected Classroom

NASA Astrophysics Data System (ADS)

Morton, Brian Lee

The purpose of this study is to create an empirically based theoretic model of change of the use and treatment of representations of functions with the use of Connected Classroom Technology (CCT) using data previously collected for the Classroom Connectivity in Promoting Mathematics and Science Achievement (CCMS) project. Qualitative analysis of videotapes of three algebra teachers' instruction focused on different categories thought to influence teaching representations with technology: representations, discourse, technology, and decisions. Models for rating teachers low, medium, or high for each of these categories were created using a priori codes and grounded methodology. A cross case analysis was conducted after the completion of the case studies by comparing and contrasting the three cases. Data revealed that teachers' decisions shifted to incorporate the difference in student ideas/representations made visible by the CCT into their instruction and ultimately altered their orientation to mathematics teaching. The shift in orientation seemed to lead to the teachers' growth with regards to representations, discourse, and technology.

Making Connections in Practice: How Prospective Elementary Teachers Connect to Children's Mathematical Thinking and Community Funds of Knowledge in Mathematics Instruction

ERIC Educational Resources Information Center

Aguirre, Julia M.; Turner, Erin E.; Bartell, Tonya Gau; Kalinec-Craig, Crystal; Foote, Mary Q.; Roth McDuffie, Amy; Drake, Corey

2013-01-01

This study examines the ways prospective elementary teachers (PSTs) made connections to children's mathematical thinking and children's community funds of knowledge in mathematics lesson plans. We analyzed the work of 70 PSTs from across three university sites associated with an instructional module for elementary mathematics methods courses that…

A modeling comparison of projection neuron- and neuromodulator-elicited oscillations in a central pattern generating network.

PubMed

Kintos, Nickolas; Nusbaum, Michael P; Nadim, Farzan

2008-06-01

Many central pattern generating networks are influenced by synaptic input from modulatory projection neurons. The network response to a projection neuron is sometimes mimicked by bath applying the neuronally-released modulator, despite the absence of network interactions with the projection neuron. One interesting example occurs in the crab stomatogastric ganglion (STG), where bath applying the neuropeptide pyrokinin (PK) elicits a gastric mill rhythm which is similar to that elicited by the projection neuron modulatory commissural neuron 1 (MCN1), despite the absence of PK in MCN1 and the fact that MCN1 is not active during the PK-elicited rhythm. MCN1 terminals have fast and slow synaptic actions on the gastric mill network and are presynaptically inhibited by this network in the STG. These local connections are inactive in the PK-elicited rhythm, and the mechanism underlying this rhythm is unknown. We use mathematical and biophysically-realistic modeling to propose potential mechanisms by which PK can elicit a gastric mill rhythm that is similar to the MCN1-elicited rhythm. We analyze slow-wave network oscillations using simplified mathematical models and, in parallel, develop biophysically-realistic models that account for fast, action potential-driven oscillations and some spatial structure of the network neurons. Our results illustrate how the actions of bath-applied neuromodulators can mimic those of descending projection neurons through mathematically similar but physiologically distinct mechanisms.

An analysis of mathematical connection ability based on student learning style on visualization auditory kinesthetic (VAK) learning model with self-assessment

NASA Astrophysics Data System (ADS)

Apipah, S.; Kartono; Isnarto

2018-03-01

This research aims to analyze the quality of VAK learning with self-assessment toward the ability of mathematical connection performed by students and to analyze students’ mathematical connection ability based on learning styles in VAK learning model with self-assessment. This research applies mixed method type with concurrent embedded design. The subject of this research consists of VIII grade students from State Junior High School 9 Semarang who apply visual learning style, auditory learning style, and kinesthetic learning style. The data of learning style is collected by using questionnaires, the data of mathematical connection ability is collected by performing tests, and the data of self-assessment is collected by using assessment sheets. The quality of learning is qualitatively valued from planning stage, realization stage, and valuation stage. The result of mathematical connection ability test is analyzed quantitatively by mean test, conducting completeness test, mean differentiation test, and mean proportional differentiation test. The result of the research shows that VAK learning model results in well-qualified learning regarded from qualitative and quantitative sides. Students with visual learning style perform the highest mathematical connection ability, students with kinesthetic learning style perform average mathematical connection ability, and students with auditory learning style perform the lowest mathematical connection ability.

The study of middle school mathematics and science teachers' practices, perceptions, and attitudes related to mathematics and science integration

NASA Astrophysics Data System (ADS)

Leszczynski, Eliza

The purpose of this qualitative study was to investigate the nature of mathematics and science connections made by sixth and seventh grade mathematics and science teachers in their classrooms. This study also examined the extent to which these connections represented mathematics and science integration and described the teachers' perceptions of and attitudes about mathematics and science integration. The primary data sources included classroom observations and teacher interviews. Findings suggested that teacher practices in making mathematics and science connections in the classroom incorporated many of the characteristics of integrated instruction presented in the literature. Teacher attitudes toward integration were found to be generally positive and supportive of integrated instruction. Mathematics teachers shared a common perception of integration being two separate lessons taught together in one lesson. In contrast, science teachers perceived integration to be a seamless blend of the two disciplines. The researcher related these perceptions and attitudes to the teachers' past experiences with mathematics and science connections and integration, and also to their practices of mathematics and science connections in the study.

The impact of mathematical models of teaching materials on square and rectangle concepts to improve students' mathematical connection ability and mathematical disposition in middle school

NASA Astrophysics Data System (ADS)

Afrizal, Irfan Mufti; Dachlan, Jarnawi Afghani

2017-05-01

The aim of this study was to determine design of mathematical models of teaching materials to improve students' mathematical connection ability and mathematical disposition in middle school through experimental studies. The design in this study was quasi-experimental with non-equivalent control group type. This study consisted of two phases, the first phase was identify students' learning obstacle on square and rectangle concepts to obtain the appropriate design of teaching materials, beside that there were internalization of the values or characters expected to appear on students through the teaching materials. Second phase was experiments on the effectiveness and efficiency of mathematical models of teaching materials to improve students' mathematical connection ability and mathematical disposition. The result of this study are 1) Students' learning obstacle that have identified was categorized as an epistemological obstacle. 2) The improvement of students' mathematical connection ability and mathematical disposition who used mathematical teaching materials is better than the students who used conventional learning.

Connecting the Dots for Youth Development in American Indian Communities: A Story of the Reach for the Sky Project

ERIC Educational Resources Information Center

Carlson, Stephan; Hardman, Alisha M.; Marczak, Mary S.

2011-01-01

This second article in "JAIE'"s new "Reports from the Field" section1 explores a culturally based science, technology, engineering, and mathematics (STEM) program at a northern Minnesota Bureau of Indian Education high school. Engaging American Indian youth from disenfranchised communities in STEM programs has been challenging.…

The Social Process of Analyzing Real Water Resource Systems Plans and Management Policies

NASA Astrophysics Data System (ADS)

Loucks, Daniel

2016-04-01

Developing and applying systems analysis methods for improving the development and management of real world water resource systems, I have learned, is primarily a social process. This talk is a call for more recognition of this reality in the modeling approaches we propose in the papers and books we publish. The mathematical models designed to inform planners and managers of water systems that we see in many of our journals often seem more complex than they need be. They also often seem not as connected to reality as they could be. While it may be easier to publish descriptions of complex models than simpler ones, and while adding complexity to models might make them better able to mimic or resemble the actual complexity of the real physical and/or social systems or processes being analyzed, the usefulness of such models often can be an illusion. Sometimes the important features of reality that are of concern or interest to those who make decisions can be adequately captured using relatively simple models. Finding the right balance for the particular issues being addressed or the particular decisions that need to be made is an art. When applied to real world problems or issues in specific basins or regions, systems modeling projects often involve more attention to the social aspects than the mathematical ones. Mathematical models addressing connected interacting interdependent components of complex water systems are in fact some of the most useful methods we have to study and better understand the systems we manage around us. They can help us identify and evaluate possible alternative solutions to problems facing humanity today. The study of real world systems of interacting components using mathematical models is commonly called applied systems analyses. Performing such analyses with decision makers rather than of decision makers is critical if the needed trust between project personnel and their clients is to be developed. Using examples from recent and ongoing modeling projects in different parts of the world, this talk will attempt to show the dependency on the degree of project success with the degree of attention given to the communication between project personnel, the stakeholders and decision making institutions. It will also highlight how initial project terms-of-reference and expected outcomes can change, sometimes in surprising ways, during the course of such projects. Changing project objectives often result from changing stakeholder values, emphasizing the need for analyses that can adapt to this uncertainty.

Bouncing Balls and Graphing Derivatives

ERIC Educational Resources Information Center

Cory, Beth

2010-01-01

National Council of Teachers of Mathematics' (NCTM's) (2000) Connections Standard states that students should "recognize and use connections among mathematical ideas; understand how mathematical ideas interconnect ...; [and] recognize and apply mathematics in contexts outside of mathematics" (p. 354). This article presents an in-depth…

Internet Connections to Mathematics Education.

ERIC Educational Resources Information Center

Day, Roger

1995-01-01

Presents Internet connections appropriate for mathematics education; provides descriptions of ways that mathematics educators can access electronic resources such as e-mail, discussion groups, gopher servers, and transfer of files; and provides hints and examples from classroom connections and professional applications. (18 references) (Author/MKR)

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

ERIC Educational Resources Information Center

Olson, Travis A.

2016-01-01

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

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…

Connecting Mathematics across the Curriculum. 1995 Yearbook.

ERIC Educational Resources Information Center

House, Peggy A., Ed.; Coxford, Arthur F., Ed.

One of the four cornerstones of the National Council of Teachers of Mathematics (NCTM) "Curriculum and Evaluation Standards for School Mathematics" asserts that connecting mathematics to other subjects in the curriculum and to the everyday world is an important goal of school mathematics. This yearbook is designed to help classroom…

Studies in Teaching: 2005 Research Digest. Research Projects Presented at Annual Research Forum (Winston-Salem, North Carolina, December 7, 2005)

ERIC Educational Resources Information Center

McCoy, Leah P., Ed.

2005-01-01

These Proceedings document an educational research forum held at Wake Forest University (Winston-Salem, North Carolina) on December 7, 2005. Table of contents and 26 research studies of high school teaching are included. Studies include: (1) Mathematical Reasoning in Multiple Representations: Connections and Confidence (Justin Allman); (2) The…

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…

Making Connections

ERIC Educational Resources Information Center

Turner, Paul

2015-01-01

This article aims to illustrate a process of making connections, not between mathematics and other activities, but within mathematics itself--between diverse parts of the subject. Novel connections are still possible in previously explored mathematics when the material happens to be unfamiliar, as may be the case for a learner at any career stage.…

Contribution of Auditory Learning Style to Students’ Mathematical Connection Ability

NASA Astrophysics Data System (ADS)

Karlimah; Risfiani, F.

2017-09-01

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

The Effects of a Mathematics Infusion Curriculum on Middle School Student Mathematics Achievement

ERIC Educational Resources Information Center

Burghardt, M. David; Lauckhardt, James; Kennedy, Maria; Hecht, Deborah; McHugh, Luisa

2015-01-01

Increasing mathematical competencies of American students has been a focus for educators, researchers, and policy makers alike. One purported approach to increase student learning is through connecting mathematics and science curricula. Yet there is a lack of research examining the impact of making these connections. The Mathematics Infusion into…

Learning to Map and Mapping to Learn Our Students' Worlds

ERIC Educational Resources Information Center

Rubel, Laurie H.; Chu, Haiwen; Shookhoff, Lauren

2011-01-01

The National Council of Teachers of Mathematics (NCTM), through its Connections Standard, highlights the importance of "the opportunity for students to experience mathematics in a context." Seeing how mathematics can be used to describe real-world phenomena can motivate students to learn more mathematics. Connecting mathematics to the real world…

Theoretical Foundations of Study of Cartography

NASA Astrophysics Data System (ADS)

Talhofer, Václav; Hošková-Mayerová, Šárka

2018-05-01

Cartography and geoinformatics are technical-based fields which deal with modelling and visualization of landscape in the form of a map. The theoretical foundation is necessary to obtain during study of cartography and geoinformatics based mainly on mathematics. For the given subjects, mathematics is necessary for understanding of many procedures that are connected to modelling of the Earth as a celestial body, to ways of its projection into a plane, to methods and procedures of modelling of landscape and phenomena in society and visualization of these models in the form of electronic as well as classic paper maps. Not only general mathematics, but also its extension of differential geometry of curves and surfaces, ways of approximation of lines and surfaces of functional surfaces, mathematical statistics and multi-criterial analyses seem to be suitable and necessary. Underestimation of the significance of mathematical education in cartography and geoinformatics is inappropriate and lowers competence of cartographers and professionals in geographic information science and technology to solve problems.

Connecting Advanced and Secondary Mathematics

ERIC Educational Resources Information Center

Murray, Eileen; Baldinger, Erin; Wasserman, Nicholas; Broderick, Shawn; White, Diana

2017-01-01

There is an ongoing debate among scholars in understanding what mathematical knowledge secondary teachers should have in order to provide effective instruction. We explore connections between advanced and secondary mathematics as an entry point into this debate. In many cases, advanced mathematics is considered relevant for secondary teachers…

Mathematics, Music, and Movement: Exploring Concepts and Connections.

ERIC Educational Resources Information Center

Shilling, Wynne A.

2002-01-01

Explores connections between mathematics, music, and movement in early childhood curriculum. Presents music activities in which mathematical concepts are embedded; focuses on activities providing experiences with time-based relationships and rhythmic patterns. Asserts that integrating movement and mathematics into music activities provides a way…

Connecting Biology and Mathematics: First Prepare the Teachers

PubMed Central

2010-01-01

Developing the connection between biology and mathematics is one of the most important ways to shift the paradigms of both established science disciplines. However, adding some mathematic content to biology or biology content to mathematics is not enough but must be accompanied by development of suitable pedagogical models. I propose a model of pedagogical mathematical biological content knowledge as a feasible starting point for connecting biology and mathematics in schools and universities. The process of connecting these disciplines should start as early as possible in the educational process, in order to produce prepared minds that will be able to combine both disciplines at graduate and postgraduate levels of study. Because teachers are a crucial factor in introducing innovations in education, the first step toward such a goal should be the education of prospective and practicing elementary and secondary school teachers. PMID:20810951

Intra-Mathematical Connections Made by High School Students in Performing Calculus Tasks

ERIC Educational Resources Information Center

García-García, Javier; Dolores-Flores, Crisólogo

2018-01-01

In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas,…

Mathematics & Economics: Connections for Life, Grades 6-8.

ERIC Educational Resources Information Center

Hoff, Jody; McCorkle, Sarapage; Suiter, Mary; Bettendorf, James; Breidenbach, Lisa; Cornwell, Pamela

This book contains a set of 12 lessons for middle school students that demonstrate how mathematical processes and concepts may be applied to the study of economics and personal finance. Mathematics educators can find lessons connecting mathematics instruction to practical problems and issues that students encounter throughout their life. The…

Examining the Impact of Writing and Literacy Connections on Mathematics Learning

ERIC Educational Resources Information Center

Martin, Christie; Polly, Drew

2016-01-01

In this study, we examine how literacy connections with multiple step mathematics problems affected mathematics learning for 4th grade students. Three fourth grade teachers incorporated writing activities in their mathematics classroom for two weeks. The level of teacher scaffolding decreased as students progressed through the problems. The…

Mathematical Practices and Arts Integration in an Activity-Based Projective Geometry Course

NASA Astrophysics Data System (ADS)

Ernest, Jessica Brooke

It is a general assumption that the mathematical activity of students in school should, at least to some degree, parallel the practices of professional mathematicians (Brown, Collins, Duguid, 1989; Moschkovich, 2013). This assumption is reflected in the Common Core State Standards (CCSSI, 2010) and National Council of Teachers of Mathematics (NCTM, 2000) standards documents. However, the practices included in these standards documents, while developed to reflect the practices of professional mathematicians, may be idealized versions of what mathematicians actually do (Moschkovich, 2013). This might lead us to question then: "What is it that mathematicians do, and what practices are not being represented in the standards documents?" In general, the creative work of mathematicians is absent from the standards and, in turn, from school mathematics curricula, much to the dismay of some mathematicians and researchers (Lockhart, 2009; Rogers, 1999). As a result, creativity is not typically being fostered in mathematics students. As a response to this lack of focus on fostering creativity (in each of the science, technology, engineering, and mathematics disciplines--the STEM disciplines), a movement to integrate the arts emerged. This movement, called the STEAM movement--introducing the letter A into the acronym STEM to signify incorporating the arts--has been gaining momentum, yet limited research has been carried out on the efficacy of integrating the arts into mathematics courses. My experiences as the co-instructor for an activity-based course focused on projective geometry led me to consider the course as a setting for investigating both mathematical practices and arts integration. In this work, I explored the mathematical practices in which students engaged while working to develop an understanding of projective geometry through group activities. Furthermore, I explored the way in which students' learning experiences were enriched through artistic engagement in the course. I discuss mathematical play and acts of imagination--two mathematical practices in which students engaged, and which emerged from a grounded theory approach to analysis of the classroom data. In addition, I discuss particular ways in which artistic engagement, including creating two mathematically inspired artistic pieces, enriched students' learning experiences in the course. The six themes I address are artistic engagement (a) fostering mathematical play, (b) giving students the opportunity to make sense of pop-up topics, (c) providing students with the opportunity to develop coordination of mathematical tools, (d) allowing students to weave their personal experiences with mathematics, (e) contributing to students' notions of the connections between mathematics and art, and (f) changing students' relationships with art.

Strengthening Connections between Elementary Classroom Mathematics and Literacy

ERIC Educational Resources Information Center

Altieri, Jennifer L.

2009-01-01

Enjoyable literacy strategies help elementary teachers reinforce students' mathematics knowledge. This article shares a number of literacy strategies that can easily connect with mathematics. These strategies include word associations, multimeaning word cards, and games. (Contains 7 figures.)

In Pursuit of a Connected Way of Knowing: The Case of One Mathematics Teacher

ERIC Educational Resources Information Center

Agudelo-Valderrama, Cecilia; Martínez, Diana

2016-01-01

In this paper, we offer illustrations of a mathematics teacher's difficulties with content knowledge when trying to find connections between school mathematics and science; we do so by describing the development of this teacher's thinking and learning in her pursuit of connections between the concepts of slope of a line and density of matter. The…

Mathematics and Economics: Connections for Life, 9-12.

ERIC Educational Resources Information Center

MacDonald, Rich; Breidenbach, Lisa; Doetschman, Evelyn L.

Bringing mathematics and economics together to connect them in students' minds gives students very important skills they can use in their lives. This book is intended for high school mathematics teachers, with lessons designed to reinforce the mathematics concepts and processes taught by using examples from economics. The book consists of 15…

Semiotics and the "Connections" Standard: Significance of Semiotics for Teachers of Mathematics

ERIC Educational Resources Information Center

Presmeg, Norma

2006-01-01

For more than 14 years, the National Council of Teachers of Mathematics (1989, 2000) has advocated that teachers of mathematics facilitate that students make connections of various kinds, in their learning of mathematics. Semiotic theories, including those of Peirce and those of Saussure and Lacan (each for different purposes), provide useful…

8th Grade Student's Skill of Connecting Mathematics to Real Life

ERIC Educational Resources Information Center

Altay, Mesture Kayhan; Yalvaç, Betül; Yeltekin, Emel

2017-01-01

The purpose of this study is to examine 8th grade students' skills of connecting mathematics to real life. This study uses survey design since it aims to determine existing situations regarding to students' skills of connecting mathematics to real life. The study sample consists of 176 students in total, who are studying at a state school in the…

Equity, empowerment and different ways of knowing

NASA Astrophysics Data System (ADS)

Boaler, Jo

1997-11-01

This paper considers the experiences of two sets of students who attended schools that taught mathematics in completely different ways. One of the schools used a traditional, textbook approach, and the other used an open, project-based approach. The latter approach produced equity between girls and boys whereas the textbook approach prompted many of the girls to under achieve. This paper will consider the experiences of girls and boys who followed the project-based approach, reflect upon the sources of equity within this approach and relate the differences between the two approaches to Gilligan's notions of "separate" and "connected" knowing.

Pre-Service Teachers' Views of the Maths Talent Quest (MTQ): Connecting Mathematical Concepts to Everyday Tasks and Experiences

ERIC Educational Resources Information Center

Baum, Prudence; Perera, Radhika

2017-01-01

Mathematics needs to take on a real-world quality, and students need to be able to identify and connect the value of what they are learning within the classroom to life outside the classroom. Creating a connection between the mathematics learned within a classroom and its value to life in the outside world is critical to effectively engage…

Status Report: Mathematics Curriculum-Development Projects Today

ERIC Educational Resources Information Center

Arithmetic Teacher, 1972

1972-01-01

Brief reports on the Cambridge Conference on School Mathematics, Comprehensive School Mathematics Program, Computer-Assisted Instruction Projects at Stanford, Individually Prescribed Instruction Project, The Madison Project, Mathematics/Science Learning System, MINNEMAST, and School Mathematics Study Group. (MM)

Connecting Functions in Geometry and Algebra

ERIC Educational Resources Information Center

Steketee, Scott; Scher, Daniel

2016-01-01

One goal of a mathematics education is that students make significant connections among different branches of mathematics. Connections--such as those between arithmetic and algebra, between two-dimensional and three-dimensional geometry, between compass-and-straight-edge constructions and transformations, and between calculus and analytic…

Connecting the Dots: Rediscovering Continuity

ERIC Educational Resources Information Center

Camenga, Kristin A.; Yates, Rebekah B. Johnson

2014-01-01

The topic of continuity is typically not introduced until calculus and then reexamined in real analysis. Recognizing the connections between secondary school mathematics and the advanced mathematics studied at the college level allows teachers to better identify mathematical concepts in student ideas, motivate students by piquing their curiosity,…

Exploring positioning as an analytical tool for understanding becoming mathematics teachers' identities

NASA Astrophysics Data System (ADS)

Skog, Kicki; Andersson, Annica

2015-03-01

The aim of this article is to explore how a sociopolitical analysis can contribute to a deeper understanding of critical aspects for becoming primary mathematics teachers' identities during teacher education. The question we ask is the following: How may power relations in university settings affect becoming mathematics teachers' subject positioning? We elaborate on the elusive and interrelated concepts of identity, positioning and power, seen as dynamic and changeable. As these concepts represent three interconnected parts of research analysis in an on-going larger project data from different sources will be used in this illustration. In this paper, we clarify the theoretical stance, ground the concepts historically and strive to connect them to research analysis. In this way, we show that power relations and subject positioning in social settings are critical aspects and need to be taken seriously into account if we aim at understanding becoming teachers' identities.

Connecting Representations: Using Predict, Check, Explain

ERIC Educational Resources Information Center

Roy, George J.; Fueyo, Vivian; Vahey, Philip; Knudsen, Jennifer; Rafanan, Ken; Lara-Meloy, Teresa

2016-01-01

Although educators agree that making connections with the real world, as advocated by "Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014), is important, making such connections while addressing important mathematics is elusive. The authors have found that math content coupled with the instructional strategy of…

The Science-Mathematics Connection: Using Technology in an Interdisciplinary Module.

ERIC Educational Resources Information Center

Flournoy, Bonita E.; Cook-Bax, Janice E.; Harris, Lillian

2001-01-01

Points out the importance of mathematics and science connections in the curriculum and introduces the Science Teachers Open Support System (STOSS) program which aims to assist African American middle school and high school teachers in designing and implementing technology-based interdisciplinary science and mathematics modules for culturally…

A Tree at Bedtime Investigation: Connecting Mathematics, Science, and Literature

ERIC Educational Resources Information Center

Kieff, Judith

2006-01-01

Activities that promote "active thinking" help children learn mathematics and science by allowing them to work at forming relationships, making connections, and integrating concepts and procedures. Dynamic and exciting children's books invite and motivate children to learn mathematics and science by responding to stories, characters, and their…

Mathematics, the Computer, and the Impact on Mathematics Education.

ERIC Educational Resources Information Center

Tooke, D. James

2001-01-01

Discusses the connection between mathematics and the computer; mathematics curriculum; mathematics instruction, including teachers learning to use computers; and the impact of the computer on learning mathematics. (LRW)

The Effectiveness of Problem-Based Learning Approach Based on Multiple Intelligences in Terms of Student’s Achievement, Mathematical Connection Ability, and Self-Esteem

NASA Astrophysics Data System (ADS)

Kartikasari, A.; Widjajanti, D. B.

2017-02-01

The aim of this study is to explore the effectiveness of learning approach using problem-based learning based on multiple intelligences in developing student’s achievement, mathematical connection ability, and self-esteem. This study is experimental research with research sample was 30 of Grade X students of MIA III MAN Yogyakarta III. Learning materials that were implemented consisting of trigonometry and geometry. For the purpose of this study, researchers designed an achievement test made up of 44 multiple choice questions with respectively 24 questions on the concept of trigonometry and 20 questions for geometry. The researcher also designed a connection mathematical test and self-esteem questionnaire that consisted of 7 essay questions on mathematical connection test and 30 items of self-esteem questionnaire. The learning approach said that to be effective if the proportion of students who achieved KKM on achievement test, the proportion of students who achieved a minimum score of high category on the results of both mathematical connection test and self-esteem questionnaire were greater than or equal to 70%. Based on the hypothesis testing at the significance level of 5%, it can be concluded that the learning approach using problem-based learning based on multiple intelligences was effective in terms of student’s achievement, mathematical connection ability, and self-esteem.

Profile of mathematical reasoning ability of 8th grade students seen from communicational ability, basic skills, connection, and logical thinking

NASA Astrophysics Data System (ADS)

Sumarsih; Budiyono; Indriati, D.

2018-04-01

This research aims to understand the students’ weaknesses in mathematical reasoning ability in junior secondary school. A set of multiple choice tests were used to measure this ability involve components mathematical communication, basic skills, connection, and logical thinking. A total of 259 respondents were determined by stratified cluster random sampling. Data were analyzed using one-way Anova test with Fobs = 109.5760 and F = 3.0000. The results show that students’ ability from schools with high National Exam in mathematics category was the best and followed by medium and low category. Mathematical connection is the most difficult component performed by students. In addition, most students also have difficulty in expressing ideas and developing logical arguments.

Making Connections

ERIC Educational Resources Information Center

Pien, Cheng Lu; Dongsheng, Zhao

2011-01-01

Effective teaching includes enabling learners to make connections within mathematics. It is easy to accord with this statement, but how often is it a reality in the mathematics classroom? This article describes an approach in "connecting equivalent" fractions and whole number operations. The authors illustrate how a teacher can combine a common…

Mathematical Connections and Their Relationship to Mathematics Knowledge for Teaching Geometry

ERIC Educational Resources Information Center

Eli, Jennifer A.; Mohr-Schroeder, Margaret J.; Lee, Carl W.

2013-01-01

Effective competition in a rapidly growing global economy places demands on a society to produce individuals capable of higher-order critical thinking, creative problem solving, connection making, and innovation. We must look to our teacher education programs to help prospective middle grades teachers build the mathematical habits of mind that…

On the Importance of Set-Based Meanings for Categories and Connectives in Mathematical Logic

ERIC Educational Resources Information Center

Dawkins, Paul Christian

2017-01-01

Based on data from a series of teaching experiments on standard tools of mathematical logic, this paper characterizes a range of student meanings for mathematical properties and logical connectives. Some observed meanings inhibited students' adoption of logical structure, while others greatly facilitated it. "Reasoning with predicates"…

Explorations with 142857: Connecting the Elementary with the Advanced

ERIC Educational Resources Information Center

Flores, Alfinio

2008-01-01

University mathematics education courses do not always provide the opportunity to make connections between advanced topics and the mathematics taught in middle school or high school. Activities like the ones described in this article invite such connections. Analyzing concrete or particular examples provides a better grasp of abstract concepts.…

Mathematical modeling of project management in logistics systems based on two-dimensional random vector

NASA Astrophysics Data System (ADS)

Glushkova, Yu O.; Gordashnukova, O. Yu; Pahomova, A. V.; Shatohina, S. P.; Filippov, D. V.

2018-05-01

The modern markets are characterized by fierce competition, constantly changing demand, increasing demands of consumers, shortening of the life cycle of goods and services in connection with scientific and technological progress. Therefore, for survival, modern logistic systems of industrial enterprises must be constantly improved. Modern economic literature is represented by a large volume of publications on various aspects of the studied issues. They consider the issues of project management in the logistics system that inevitably encounter with triple Limited. It initially describes the balance between project content, cost, and time. Later it was suggested to either replace the content with quality or add a fourth criterion. Therefore it is possible to name such limitation as triple or four-criteria limitation.

An Examination of Connections in Mathematical Processes in Students' Problem Solving: Connections between Representing and Justifying

ERIC Educational Resources Information Center

Stylianou, Despina A.

2013-01-01

Representation and justification are two central "mathematical practices". In the past, each has been examined to gain insights in the functions that they have in students' mathematical problem solving. Here, we examine the ways that representation and justification interact and influence the development of one another. We focus on the…

A Case Study of Dilemmas Encountered When Connecting Middle School Mathematics Instruction to Relevant Real World Examples

ERIC Educational Resources Information Center

Sugimoto, Amanda T.; Turner, Erin E.; Stoehr, Kathleen J.

2017-01-01

The pedagogical practice of connecting mathematical content to real world contexts, particularly contexts relevant to students' knowledge and experiences, can positively impact student motivation as well as promote conceptual understanding. However, little is known about how middle school teachers actually make relevant world connections, and more…

The Connection Competencies of Pre-Service Mathematics Teachers about Geometric Concepts to Daily-Life

ERIC Educational Resources Information Center

Pirasa, Nimet

2016-01-01

However, geometry is the area with the most concrete possibility of mathematical topics which contains more abstract concepts, students experience difficulties while understanding. Therefore, the connection of issues with daily life to concrete the subjects and the ability of connecting geometric concepts with daily life of the teachers and…

Evaluating the Effectiveness of the 2003-2004 NASA CONNECT(trademark)Program

NASA Technical Reports Server (NTRS)

Caton, Randall H.; Pinelli, Thomas E.; Giersch, Christopher E.; Holmes, Ellen B.; Lambert, Matthew A.

2005-01-01

NASA CONNECT is an Emmy-award-winning series of instructional (distance learning) programs for grades 6-8. Produced by the NASA Center for Distance Learning, the nine programs in the 2003-2004 NASA CONNECT series are research-, inquiry-, standards-, teacher-, and technology-based and include a 30-minute program, an educator guide containing a hands-on activity, and a web-based component. The 1,500 randomly selected NASA CONNECT registered users were invited to complete an electronic (self-reported) survey that employed a 5-point Likert-type scale. Regarding NASA CONNECT, respondents reported that the programs (1) enhance the teaching of mathematics, science, and technology (4.53); (2) are aligned with the national mathematics, science, and technology standards (4.52); (3) raise student awareness of careers requiring mathematics, science, and technology (4.48); (4) demonstrate the application of mathematics, science, and technology (4.47); and (5) present women and minorities performing challenging engineering and science tasks (4.50).

Integrated learning of mathematics, science and technology concepts through LEGO/Logo projects

NASA Astrophysics Data System (ADS)

Wu, Lina

This dissertation examined integrated learning in the domains of mathematics, science and technology based on Piaget's constructivism, Papert's constructionism, and project-based approach to education. Ten fifth grade students were involved in a two-month long after school program where they designed and built their own computer-controlled LEGO/Logo projects that required the use of gears, ratios and motion concepts. The design of this study centered on three notions of integrated learning: (1) integration in terms of what educational materials/settings provide, (2) integration in terms of students' use of those materials, and (3) integration in the psychological sense. In terms of the first notion, the results generally showed that the LEGO/Logo environment supported the integrated learning of math, science and technology concepts. Regarding the second notion, the students all completed impressive projects of their own design. They successfully combined gears, motors, and LEGO parts together to create motion and writing control commands to manipulate the motion. But contrary to my initial expectations, their successful designs did not require numerical reasoning about ratios in designing effective gear systems. When they did reason about gear relationships, they worked with "qualitative" ratios, e.g., "a larger driver gear with a smaller driven gear increases the speed." In terms of the third notion of integrated learning, there was evidence in all four case study students of the psychological processes involved in linking mathematical, scientific, and/or technological concepts together to achieve new conceptual units. The students not only made connections between ideas and experiences, but also recognized decisive patterns and relationships in their project work. The students with stronger overall project performances showed more evidence of synthesis than the students with relatively weaker performances did. The findings support the conclusion that all three notions of the integrated learning are important for understanding what the students learned from their project work. By considering these notions together, and by deliberating about their interrelations, we take a step towards understanding the integrated learning.

Shoelace Formula: Connecting the Area of a Polygon and the Vector Cross Product

ERIC Educational Resources Information Center

Lee, Younhee; Lim, Woong

2017-01-01

Understanding how one representation connects to another and how the essential ideas in that relationship are generalized can result in a mathematical theorem or a formula. In this article, the authors demonstrate this process by connecting a vector cross product in algebraic form to a geometric representation and applying a key mathematical idea…

Interactions Between Mathematics and Physics: The History of the Concept of Function—Teaching with and About Nature of Mathematics

NASA Astrophysics Data System (ADS)

Kjeldsen, Tinne Hoff; Lützen, Jesper

2015-07-01

In this paper, we discuss the history of the concept of function and emphasize in particular how problems in physics have led to essential changes in its definition and application in mathematical practices. Euler defined a function as an analytic expression, whereas Dirichlet defined it as a variable that depends in an arbitrary manner on another variable. The change was required when mathematicians discovered that analytic expressions were not sufficient to represent physical phenomena such as the vibration of a string (Euler) and heat conduction (Fourier and Dirichlet). The introduction of generalized functions or distributions is shown to stem partly from the development of new theories of physics such as electrical engineering and quantum mechanics that led to the use of improper functions such as the delta function that demanded a proper foundation. We argue that the development of student understanding of mathematics and its nature is enhanced by embedding mathematical concepts and theories, within an explicit-reflective framework, into a rich historical context emphasizing its interaction with other disciplines such as physics. Students recognize and become engaged with meta-discursive rules governing mathematics. Mathematics teachers can thereby teach inquiry in mathematics as it occurs in the sciences, as mathematical practice aimed at obtaining new mathematical knowledge. We illustrate such a historical teaching and learning of mathematics within an explicit and reflective framework by two examples of student-directed, problem-oriented project work following the Roskilde Model, in which the connection to physics is explicit and provides a learning space where the nature of mathematics and mathematical practices are linked to natural science.

Conceptualisations of infinity by primary pre-service teachers

NASA Astrophysics Data System (ADS)

Date-Huxtable, Elizabeth; Cavanagh, Michael; Coady, Carmel; Easey, Michael

2018-05-01

As part of the Opening Real Science: Authentic Mathematics and Science Education for Australia project, an online mathematics learning module embedding conceptual thinking about infinity in science-based contexts, was designed and trialled with a cohort of 22 pre-service teachers during 1 week of intensive study. This research addressed the question: "How do pre-service teachers conceptualise infinity mathematically?" Participants argued the existence of infinity in a summative reflective task, using mathematical and empirical arguments that were coded according to five themes: definition, examples, application, philosophy and teaching; and 17 codes. Participants' reflections were differentiated as to whether infinity was referred to as an abstract (A) or a real (R) concept or whether both (B) codes were used. Principal component analysis of the reflections, using frequency of codings, revealed that A and R codes occurred at different frequencies in three groups of reflections. Distinct methods of argument were associated with each group of reflections: mathematical numerical examples and empirical measurement comparisons characterised arguments for infinity as an abstract concept, geometric and empirical dynamic examples and belief statements characterised arguments for infinity as a real concept and empirical measurement and mathematical examples and belief statements characterised arguments for infinity as both an abstract and a real concept. An implication of the results is that connections between mathematical and empirical applications of infinity may assist pre-service teachers to contrast finite with infinite models of the world.

Design and Optimization of a Telemetric system for appliance in earthquake prediction

NASA Astrophysics Data System (ADS)

Bogdos, G.; Tassoulas, E.; Vereses, A.; Papapanagiotou, A.; Filippi, K.; Koulouras, G.; Nomicos, C.

2009-04-01

This project's aim is to design a telemetric system which will be able to collect data from a digitizer, transform it into appropriate form and transfer this data to a central system where an on-line data elaboration will take place. On-line mathematical elaboration (fractal analysis) of pre-seismic electromagnetic signals and instant display may lead to safe earthquake prediction methodologies. Ad-hoc connections and heterogeneous topologies are the core network, while wired and wireless means cooperate for an accurate and on-time transmission. The nature of data is considered very sensitive so the transmission needs to be instant. All stations are situated in rural places in order to prevent electromagnetic interferences; this imposes continuous monitoring and provision of backup data links. The central stations collect the data of every station and allocate them properly in a predefined database. Special software is designed to elaborate mathematically the incoming data and export it graphically. The developing part included digitizer design, workstation software design, transmission protocol study and simulation on OPNET, database programming, mathematical data elaborations and software development for graphical representation. All the package was tested under lab conditions and tested in real conditions. The main aspect that this project serves is the very big interest for the scientific community in case this platform will eventually be implemented and then installed in Greek countryside in large scale. The platform is designed in such a way that techniques of data mining and mathematical elaboration are possible and any extension can be adapted. The main specialization of this project is that these mechanisms and mathematical transformations can be applied on live data. This can help to rapid exploitation of the real meaning of the measured and stored data. The elaboration of this study has as primary intention to help and alleviate the analysis process while triggering the scientific community to pay attention on seismic activities in Greece watching it on-line.

Implementing Green Walls in Schools.

PubMed

McCullough, Michael B; Martin, Michael D; Sajady, Mollika A

2018-01-01

Numerous studies in applied pedagogical design have shown that, at all educational levels, direct exposure to the natural environment can enhance learning by improving student attention and behaviors. Implementing green walls-a "vertical garden," or "living wall" interior wall that typically includes greenery, a growing medium (soil or substrate) and a water delivery system-provides environmental health benefits, but also provides a practical application within classrooms for minimizing directed attention fatigue in students by connecting them to "outdoor nature" within the indoor environment. Hands-on "project-based" learning is another pedagogical strategy that has proved to be effective across the spectrum of educational levels and across subject areas. Green walls have the potential to inspire critical thinking through a combination of project-based learning strategies and environmental education. The authors have outlined a curriculum involving the implementation of an indoor living wall system within a classroom-learning environment, incorporating project-based learning modules that interact with the wall. In conjunction with the passive health benefits of a green wall, project-based curriculum models can connect students interactively with indoor nature and have the potential to inspire real-world thinking related to science, technology, engineering, art, and mathematics fields within the indoor learning environment. Through a combination of these passive and interactive modes, students are connected to nature in the indoor environment regardless of weather conditions outdoors. Future research direction could include post-construction studies of the effectiveness of project-based curricula related to living walls, and the long-term impacts of implementing green walls in classrooms on school achievement and student behaviors.

Student perceptions of writing projects in a university differential-equations course

NASA Astrophysics Data System (ADS)

Latulippe, Christine; Latulippe, Joe

2014-01-01

This qualitative study surveyed 102 differential-equations students in order to investigate how students participating in writing projects in university-level mathematics courses perceive the benefits of writing in the mathematics classroom. Based on previous literature on writing in mathematics, students were asked specifically about the benefits of writing projects as a means to explore practical uses of mathematics, deepen content knowledge, and strengthen communication. Student responses indicated an awareness of these benefits, supporting justifications commonly cited by instructors assigning writing projects. Open-ended survey responses highlighted additional themes which students associated with writing in mathematics, including using software programs and technology, working in groups, and stimulating interest in mathematics. This study provides student feedback to support the use of writing projects in mathematics, as well as student input, which can be utilized to strengthen the impact of writing projects in mathematics.

On Mathematical Understanding: Perspectives of Experienced Chinese Mathematics Teachers

ERIC Educational Resources Information Center

Cai, Jinfa; Ding, Meixia

2017-01-01

Researchers have long debated the meaning of mathematical understanding and ways to achieve mathematical understanding. This study investigated experienced Chinese mathematics teachers' views about mathematical understanding. It was found that these mathematics teachers embrace the view that understanding is a web of connections, which is a result…

Project-Based Learning and Design-Focused Projects to Motivate Secondary Mathematics Students

ERIC Educational Resources Information Center

Remijan, Kelly W.

2017-01-01

This article illustrates how mathematics teachers can develop design-focused projects, related to project-based learning, to motivate secondary mathematics students. With first-hand experience as a secondary mathematics teacher, I provide a series of steps related to the engineering design process, which are helpful to teachers in developing…

Connectivity Theory at Work: The Referrals between Science and Mathematics in a Science Unit

ERIC Educational Resources Information Center

Mehmetlioglu, Deniz; Ozdem, Yasemin

2014-01-01

Researches carried out all around the world showed that students learn more effectively if they are able to make connections between subjects. This case reports based on an investigation of how mathematics concepts were connected to science concepts by a science teacher in an elementary science classroom, and on the science teacher's views about…

Participation of V. S. Vladimirov in work on the USSR atomic project: A significant milestone in the development of the foundations of mathematical modeling of the processes of neutron physics

NASA Astrophysics Data System (ADS)

Trutnev, Yu. A.; Shagaliev, R. M.; Evdokimov, V. V.; Bochkov, A. I.

2013-02-01

This paper is dedicated to the 90th anniversary of the birth of a leading Soviet and Russian scientist and a member of the USSR Academy of Sciences: Academician Vasilii Sergeevich Vladimirov. Vladimirov, one of the strongest contemporary mathematicians, worked from 1951 through 1955 at KB-11 (today, the Russian Federal Nuclear Center — All-Russian Scientific Research Institute for Experimental Physics), the "secret facility" where development of atomic weaponry was conducted. We present the main results of Vladimirov's scientific activity connected with his work on the USSR atomic project.

Theories for the Classroom: Connections between Research and Practice.

ERIC Educational Resources Information Center

Kieren, Thomas E.

1997-01-01

Builds a case for possible connections between the discipline of mathematics education and the practice of mathematics education in the classroom. Focuses on constructivist, interactionist, and enactivist theorizing and research. Argues that this approach offers opportunities for divergent thinking. (DDR)

Implementation of Statistics Textbook Support with ICT and Portfolio Assessment Approach to Improve Students Teacher Mathematical Connection Skills

NASA Astrophysics Data System (ADS)

Hendikawati, P.; Dewi, N. R.

2017-04-01

Statistics needed for use in the data analysis process and had a comprehensive implementation in daily life so that students must master the well statistical material. The use of Statistics textbook support with ICT and portfolio assessment approach was expected to help the students to improve mathematical connection skills. The subject of this research was 30 student teachers who take Statistics courses. The results of this research are the use of Statistics textbook support with ICT and portfolio assessment approach can improve students mathematical connection skills.

Shop Math for the Metal Trades. Combination Welder Apprentice, Machinist Helper, Precision Metal Finisher, Sheet Metal Worker Apprentice. A Report on Metal Trades Industry Certified, Single-Concept, Mathematical Learning Projects to Eliminate Student Math Fears.

ERIC Educational Resources Information Center

Newton, Lawrence R.

This project (1) identifies basic and functional mathematics skills (shop mathematics skills), (2) provides pretests on these functional mathematics skills, and (3) provides student learning projects (project sheets) that prepare metal trades students to read, understand, and apply mathematics and measuring skills that meet entry-level job…

Facilitating Mathematical Practices through Visual Representations

ERIC Educational Resources Information Center

Murata, Aki; Stewart, Chana

2017-01-01

Effective use of mathematical representation is key to supporting student learning. In "Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014), "use and connect mathematical representations" is one of the effective Mathematics Teaching Practices. By using different representations, students examine concepts…

Multi-scale model of the ionosphere from the combination of modern space-geodetic satellite techniques - project status and first results

NASA Astrophysics Data System (ADS)

Schmidt, M.; Hugentobler, U.; Jakowski, N.; Dettmering, D.; Liang, W.; Limberger, M.; Wilken, V.; Gerzen, T.; Hoque, M.; Berdermann, J.

2012-04-01

Near real-time high resolution and high precision ionosphere models are needed for a large number of applications, e.g. in navigation, positioning, telecommunications or astronautics. Today these ionosphere models are mostly empirical, i.e., based purely on mathematical approaches. In the DFG project 'Multi-scale model of the ionosphere from the combination of modern space-geodetic satellite techniques (MuSIK)' the complex phenomena within the ionosphere are described vertically by combining the Chapman electron density profile with a plasmasphere layer. In order to consider the horizontal and temporal behaviour the fundamental target parameters of this physics-motivated approach are modelled by series expansions in terms of tensor products of localizing B-spline functions depending on longitude, latitude and time. For testing the procedure the model will be applied to an appropriate region in South America, which covers relevant ionospheric processes and phenomena such as the Equatorial Anomaly. The project connects the expertise of the three project partners, namely Deutsches Geodätisches Forschungsinstitut (DGFI) Munich, the Institute of Astronomical and Physical Geodesy (IAPG) of the Technical University Munich (TUM) and the German Aerospace Center (DLR), Neustrelitz. In this presentation we focus on the current status of the project. In the first year of the project we studied the behaviour of the ionosphere in the test region, we setup appropriate test periods covering high and low solar activity as well as winter and summer and started the data collection, analysis, pre-processing and archiving. We developed partly the mathematical-physical modelling approach and performed first computations based on simulated input data. Here we present information on the data coverage for the area and the time periods of our investigations and we outline challenges of the multi-dimensional mathematical-physical modelling approach. We show first results, discuss problems in modelling and possible solution strategies and finally, we address open questions.

Connecting and Using Multiple Representations

ERIC Educational Resources Information Center

Nielsen, Maria E.; Bostic, Jonathan D.

2018-01-01

"Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014) emphasizes eight teaching practices for effective mathematics teaching, one of which is to "use and connect multiple representations" (NCTM 2014, p. 24). An action that describes how teachers might promote this practice is to "allocate substantial…

Causal Connections between Mathematical Language and Mathematical Knowledge: A Dialogic Reading Intervention

ERIC Educational Resources Information Center

Purpura, David J.; Napoli, Amy R.; Wehrspann, Elizabeth A.; Gold, Zachary S.

2017-01-01

The acquisition of early mathematical knowledge is critical for successful long-term academic development. Mathematical language is one of the strongest predictors of children's early mathematical success. Findings from previous studies have provided correlational evidence supporting the importance of mathematical language to the development of…

Using Covariation Reasoning to Support Mathematical Modeling

ERIC Educational Resources Information Center

Jacobson, Erik

2014-01-01

For many students, making connections between mathematical ideas and the real world is one of the most intriguing and rewarding aspects of the study of mathematics. In the Common Core State Standards for Mathematics (CCSSI 2010), mathematical modeling is highlighted as a mathematical practice standard for all grades. To engage in mathematical…

Choosing High-Yield Tasks for the Mathematical Development of Practicing Secondary Teachers

ERIC Educational Resources Information Center

Epperson, James A. Mendoza; Rhoads, Kathryn

2015-01-01

Many mathematics teacher educators encounter the challenge of creating or choosing mathematical tasks that evoke important mathematical insights and connections yet remain firmly grounded in school mathematics. This challenge increases substantially when trying to meet the needs of practicing secondary mathematics teachers pursuing graduate work…

Albrecht Durer's Renaissance Connections between Mathematics and Art.

ERIC Educational Resources Information Center

Walton, Karen Doyle

1994-01-01

Discusses the use of mathematics in the works of German artist Albrecht Durer, including the Mathematical Renaissance, Durer the geometer, mathematical drawing instruments, perspective drawing, and polyhedrons and magic squares. (Contains 14 references.) (MKR)

Finite element meshing approached as a global minimization process

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

WITKOWSKI,WALTER R.; JUNG,JOSEPH; DOHRMANN,CLARK R.

2000-03-01

The ability to generate a suitable finite element mesh in an automatic fashion is becoming the key to being able to automate the entire engineering analysis process. However, placing an all-hexahedron mesh in a general three-dimensional body continues to be an elusive goal. The approach investigated in this research is fundamentally different from any other that is known of by the authors. A physical analogy viewpoint is used to formulate the actual meshing problem which constructs a global mathematical description of the problem. The analogy used was that of minimizing the electrical potential of a system charged particles within amore » charged domain. The particles in the presented analogy represent duals to mesh elements (i.e., quads or hexes). Particle movement is governed by a mathematical functional which accounts for inter-particles repulsive, attractive and alignment forces. This functional is minimized to find the optimal location and orientation of each particle. After the particles are connected a mesh can be easily resolved. The mathematical description for this problem is as easy to formulate in three-dimensions as it is in two- or one-dimensions. The meshing algorithm was developed within CoMeT. It can solve the two-dimensional meshing problem for convex and concave geometries in a purely automated fashion. Investigation of the robustness of the technique has shown a success rate of approximately 99% for the two-dimensional geometries tested. Run times to mesh a 100 element complex geometry were typically in the 10 minute range. Efficiency of the technique is still an issue that needs to be addressed. Performance is an issue that is critical for most engineers generating meshes. It was not for this project. The primary focus of this work was to investigate and evaluate a meshing algorithm/philosophy with efficiency issues being secondary. The algorithm was also extended to mesh three-dimensional geometries. Unfortunately, only simple geometries were tested before this project ended. The primary complexity in the extension was in the connectivity problem formulation. Defining all of the interparticle interactions that occur in three-dimensions and expressing them in mathematical relationships is very difficult.« less

The Electronic Encyclopedia of Earthquakes

NASA Astrophysics Data System (ADS)

Benthien, M.; Marquis, J.; Jordan, T.

2003-12-01

The Electronic Encyclopedia of Earthquakes is a collaborative project of the Southern California Earthquake Center (SCEC), the Consortia of Universities for Research in Earthquake Engineering (CUREE) and the Incorporated Research Institutions for Seismology (IRIS). This digital library organizes earthquake information online as a partner with the NSF-funded National Science, Technology, Engineering and Mathematics (STEM) Digital Library (NSDL) and the Digital Library for Earth System Education (DLESE). When complete, information and resources for over 500 Earth science and engineering topics will be included, with connections to curricular materials useful for teaching Earth Science, engineering, physics and mathematics. Although conceived primarily as an educational resource, the Encyclopedia is also a valuable portal to anyone seeking up-to-date earthquake information and authoritative technical sources. "E3" is a unique collaboration among earthquake scientists and engineers to articulate and document a common knowledge base with a shared terminology and conceptual framework. It is a platform for cross-training scientists and engineers in these complementary fields and will provide a basis for sustained communication and resource-building between major education and outreach activities. For example, the E3 collaborating organizations have leadership roles in the two largest earthquake engineering and earth science projects ever sponsored by NSF: the George E. Brown Network for Earthquake Engineering Simulation (CUREE) and the EarthScope Project (IRIS and SCEC). The E3 vocabulary and definitions are also being connected to a formal ontology under development by the SCEC/ITR project for knowledge management within the SCEC Collaboratory. The E3 development system is now fully operational, 165 entries are in the pipeline, and the development teams are capable of producing 20 new, fully reviewed encyclopedia entries each month. Over the next two years teams will complete 450 entries, which will populate the E3 collection to a level that fully spans earthquake science and engineering. Scientists, engineers, and educators who have suggestions for content to be included in the Encyclopedia can visit www.earthquake.info now to complete the "Suggest a Web Page" form.

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…

A Virtual Field Trip to the Gemini Observatory

NASA Astrophysics Data System (ADS)

Fisher, R. Scott; Michaud, P. D.

2010-01-01

Live from Gemini (LfG) is a virtual field trip using video conferencing technology to connect primary, secondary and post-secondary students with scientists and educators at the Gemini Observatory. As a pilot project, LfG is rapidly becoming one of the observatory's most often-requested educational programs for learners of all ages. The program aligns exceptionally well with national science (and technology) standards, as well as existing school curricula. This combination makes it easy for teachers to justify participation in the program, especially as the necessary video conferencing technology becomes ever more ubiquitous in classrooms and technology learning centers around the world. In developing and testing this pilot project, a programmatic approach and philosophy evolved that includes post-field-trip educational materials, multi-disciplinary subject matter (astronomy, geology, mathematics, meteorology, engineering and even language - the program is offered in Spanish from Gemini South in Chile), and the establishment of a personal connection and rapport with students. The presenters work to create a comfortable interaction despite the perceived technological barriers. The authors’ experiences with the LfG pilot project convince us that this model is viable for almost any astronomical observatory and should be considered by any dynamic, technology- and education-oriented facility.

Evaluating the Effectiveness of the 2001-2002 NASA CONNECT(tm) Program

NASA Technical Reports Server (NTRS)

Pinelli, Thomas E.; Frank, Kari Lou; Lambert, Matthew A.; Williams, Amy C.

2002-01-01

NASA CONNECT(tm) is a research and standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (television and web-based) programs for students in grades 6-8. Respondents who evaluated the programs in the 2001-2002 NASA CONNECT(tm) series reported that (1) they used the programs in the series; (2) the goals and objectives for the series were met; (3) the programs were aligned with the national mathematics, science, and technology standards; (4) the program content was developmentally appropriate for grade level; and (5) the programs in the series enhanced and enriched the teaching of mathematics, science, and technology.

Evaluating the Effectiveness of the 2002-2003 NASA CONNECT(TM) Program

NASA Technical Reports Server (NTRS)

Pinelli, Thomas E.; Lambert, Matthew A.; Williams, Amy C.

2004-01-01

NASA CONNECT is a research-, inquiry-, and standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (television and web-based) programs for students in grades 6 8. Respondents who evaluated the programs in the 2002 2003 NASA CONNECT series reported that (1) they used the programs in the series; (2) the goals and objectives for the series were met; (3) the programs were aligned with the national mathematics, science, and technology standards; (4) the program content was developmentally appropriate for grade level; and (5) the programs in the series enhanced and enriched the teaching of mathematics, science, and technology.

Didactical Design Material Units of Distance and Speed to Developed Mathematical Connection in Elementary School

NASA Astrophysics Data System (ADS)

Jannah, R. R.; Apriliya, S.; Karlimah

2017-03-01

This study aims to develop alternative instructional design based of barriers learning which identified by developing mathematical connection capabilities to the material unit of distance and speed. The research was conducted in the fifth grade elementary school Instructional design is complemented with a hypothetical learning trajectory in the form of a pedagogical didactic anticipation. The method used is descriptive method with qualitative approach. Techniques data collection used were observation, interviews, and documentation. The instrument used the researchers themselves are equipped with an instrument written test. The data were analyzed qualitatively to determine the student learning obstacles, then arrange hypothetical learning trajectory and pedagogical didactic anticipation. Learning obstacle are identified, it is learning obstacle related the connections between mathematical topics, learning obstacle related with other disciplines, and learning obstacle related with everyday life. The results of this research are improvement and development of didactic design in mathematics which has activities mathematical connection to the material unit of distance and speed in elementary school. The learning activities are carried out is using varied methods include method lectures, demonstrations, practice and exercise, as well as using the modified instructional media.

Summative and Formative Assessments in Mathematics Supporting the Goals of the Common Core Standards

ERIC Educational Resources Information Center

Schoenfeld, Alan H.

2015-01-01

Being proficient in mathematics involves having rich and connected mathematical knowledge, being a strategic and reflective thinker and problem solver, and having productive mathematical beliefs and dispositions. This broad set of mathematics goals is central to the Common Core State Standards for Mathematics. High-stakes testing often drives…

Connecting Slope, Steepness, and Angles

ERIC Educational Resources Information Center

Nagle, Courtney R.; Moore-Russo, Deborah

2013-01-01

All teachers, especially high school teachers, face the challenge of ensuring that students have opportunities to relate and connect the various representations and notions of mathematics concepts developed over the course of the pre-K-12 mathematics curriculum. NCTM's (2000) Representation Standard emphasizes the importance of students being…

Deweyan Democratic Agency and School Math: Beyond Constructivism and Critique

ERIC Educational Resources Information Center

Stemhagen, Kurt

2016-01-01

In this article, Kurt Stemhagen reconstructs mathematics education in light of Dewey's democratic theory and his ideas about mathematics and mathematics education. The resulting democratic philosophy and pedagogy of mathematics education emphasizes agency and the connections between mathematics and students' social experiences. Stemhagen considers…

Why Are Mathematical Investigations Important?

ERIC Educational Resources Information Center

Quinnell, Lorna

2010-01-01

"Research studies show that when students discover mathematical ideas and invent mathematical procedures, they have a stronger conceptual understanding of connections between mathematical ideas." Flewelling and Higginson state that inquiry, investigations, and problem solving "give students the opportunity to use their imagination…

The Astrobiology in Secondary Classrooms (ASC) curriculum: focusing upon diverse students and teachers.

PubMed

Arino de la Rubia, Leigh S

2012-09-01

The Minority Institution Astrobiology Collaborative (MIAC) began working with the NASA Goddard Center for Astrobiology in 2003 to develop curriculum materials for high school chemistry and Earth science classes based on astrobiology concepts. The Astrobiology in Secondary Classrooms (ASC) modules emphasize interdisciplinary connections in astronomy, biology, chemistry, geoscience, physics, mathematics, and ethics through hands-on activities that address national educational standards. Field-testing of the Astrobiology in Secondary Classrooms materials occurred over three years in eight U.S. locations, each with populations that are underrepresented in the career fields of science, technology, engineering, and mathematics. Analysis of the educational research upon the high school students participating in the ASC project showed statistically significant increases in students' perceived knowledge and science reasoning. The curriculum is in its final stages, preparing for review to become a NASA educational product.

The QUASAR Project: The "Revolution of the Possible" in Mathematics Instructional Reform in Urban Middle Schools.

ERIC Educational Resources Information Center

Silver, Edward A.; Stein, Mary Kay

1996-01-01

Examines critical features of the QUASAR Project, a mathematics instruction program oriented toward helping students develop a meaningful understanding of mathematical ideas through challenging mathematical tasks, and discusses findings regarding the positive impact it has had on students. Challenges and obstacles in implementing the project are…

Using Concept Maps to Show "Connections" in Measurement: An Example from the Australian Curriculum

ERIC Educational Resources Information Center

Marshman, Margaret

2014-01-01

Within the "Australian Curriculum: Mathematics" the Understanding proficiency strand states, "Students build understanding when they connect related ideas, when they represent concepts in different ways, when they identify commonalities and differences between aspects of content, when they describe their thinking mathematically and…

Helping Children Learn Mathematics through Multiple Intelligences and Standards for School Mathematics.

ERIC Educational Resources Information Center

Adams, Thomasenia Lott

2001-01-01

Focuses on the National Council of Teachers of Mathematics 2000 process-oriented standards of problem solving, reasoning and proof, communication, connections, and representation as providing a framework for using the multiple intelligences that children bring to mathematics learning. Presents ideas for mathematics lessons and activities to…

Social media enhances languages differentiation: a mathematical description.

PubMed

Vidal-Franco, Ignacio; Guiu-Souto, Jacobo; Muñuzuri, Alberto P

2017-05-01

Understanding and predicting the evolution of competing languages is a topic of high interest in a world with more than 6000 languages competing in a highly connected environment. We consider a reasonable mathematical model describing a situation of competition between two languages and analyse the effect of the speakers' connectivity (i.e. social networks). Surprisingly, instead of homogenizing the system, a high degree of connectivity helps to introduce differentiation for the appropriate parameters.

Logistics of Mathematical Modeling-Focused Projects

ERIC Educational Resources Information Center

Harwood, R. Corban

2018-01-01

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

Mathematics and Culture in Micronesia: The Structure and Function of a Capacity Building Project

ERIC Educational Resources Information Center

Dawson, A. J. Sandy

2013-01-01

The first goal of this Project is the development of elementary school mathematics curricula sensitive to indigenous mathematical thought and experience. A necessary prerequisite for the achievement of this goal is to recapture and honor the mathematics developed and practiced in the Micronesian communities. This is the Project's second goal. The…

STEM Gives Meaning to Mathematics

ERIC Educational Resources Information Center

Hefty, Lukas J.

2015-01-01

The National Council of Teachers of Mathematics' (NCTM's) "Principles and Standards for School Mathematics" (2000) outlines fi ve Process Standards that are essential for developing deep understanding of mathematics: (1) Problem Solving; (2) Reasoning and Proof; (3) Communication; (4) Connections; and (5) Representation. The Common Core…

Making the Most of Mathematical Discussions

ERIC Educational Resources Information Center

Staples, Megan; Colonis, Melissa M.

2007-01-01

The importance of mathematical discourse and its connection to developing conceptual understanding, communication, and reasoning is well documented throughout the National Council of Teachers of Mathematics (NCTM's) "Principles and Standards for School Mathematics" (2000). This article highlights the differences between two kinds of discussions:…

Galleons, Magic Potions, and Quidditch: The Mathematics of Harry Potter

ERIC Educational Resources Information Center

Barta, Jim; L'Ai, Linda

2004-01-01

Literacy curriculum connections through books give advantage to teachers to use adventure to enhance mathematical learning among children. The way the children enhanced their mathematical competence by developing exciting mathematical activities and applications by using Harry Potter book episodes is discussed.

The development of a valid discovery-based learning module to improve students' mathematical connection

NASA Astrophysics Data System (ADS)

Kuneni, Erna; Mardiyana, Pramudya, Ikrar

2017-08-01

Geometry is the most important branch in mathematics. The purpose of teaching this material is to develop students' level of thinking for a better understanding. Otherwise, geometry in particular, has contributed students' failure in mathematics examinations. This problem occurs due to special feature in geometry which has complexity of correlation among its concept. This relates to mathematical connection. It is still difficult for students to improve this ability. This is because teachers' lack in facilitating students towards it. Eventhough, facilitating students can be in the form of teaching material. A learning module can be a solution because it consists of series activities that should be taken by students to achieve a certain goal. A series activities in this case is adopted by the phases of discovery-based learning model. Through this module, students are facilitated to discover concept by deep instruction and guidance. It can build the mathematical habits of mind and also strengthen the mathematical connection. Method used in this research was ten stages of research and development proposed by Bord and Gall. The research purpose is to create a valid learning module to improve students' mathematical connection in teaching quadrilateral. The retrieved valid module based on media expert judgment is 2,43 for eligibility chart aspect, 2,60 for eligibility presentation aspect, and 3,00 for eligibility contents aspect. Then the retrieved valid module based on material expert judgment is 3,10 for eligibility content aspect, 2,87 for eligibility presentation aspect, and 2,80 for eligibility language and legibility aspect.

Envisioning migration: Mathematics in both experimental analysis and modeling of cell behavior

PubMed Central

Zhang, Elizabeth R.; Wu, Lani F.; Altschuler, Steven J.

2013-01-01

The complex nature of cell migration highlights the power and challenges of applying mathematics to biological studies. Mathematics may be used to create model equations that recapitulate migration, which can predict phenomena not easily uncovered by experiments or intuition alone. Alternatively, mathematics may be applied to interpreting complex data sets with better resolution—potentially empowering scientists to discern subtle patterns amid the noise and heterogeneity typical of migrating cells. Iteration between these two methods is necessary in order to reveal connections within the cell migration signaling network, as well as to understand the behavior that arises from those connections. Here, we review recent quantitative analysis and mathematical modeling approaches to the cell migration problem. PMID:23660413

Envisioning migration: mathematics in both experimental analysis and modeling of cell behavior.

PubMed

Zhang, Elizabeth R; Wu, Lani F; Altschuler, Steven J

2013-10-01

The complex nature of cell migration highlights the power and challenges of applying mathematics to biological studies. Mathematics may be used to create model equations that recapitulate migration, which can predict phenomena not easily uncovered by experiments or intuition alone. Alternatively, mathematics may be applied to interpreting complex data sets with better resolution--potentially empowering scientists to discern subtle patterns amid the noise and heterogeneity typical of migrating cells. Iteration between these two methods is necessary in order to reveal connections within the cell migration signaling network, as well as to understand the behavior that arises from those connections. Here, we review recent quantitative analysis and mathematical modeling approaches to the cell migration problem. Copyright © 2013 Elsevier Ltd. All rights reserved.

It's All Connected: The Power of Proportional Reasoning to Understand Mathematics Concepts, Gr. 6-8

ERIC Educational Resources Information Center

Whitman, Carmen

2011-01-01

"It's All Connected" provides teachers of mathematics the support they need to improve their instruction. This in-demand collection of lessons for grades 6-8 explores proportionality, proportional relationships, and proportional reasoning, acknowledging that the ability to reason proportionally is crucial in the middle school mathematics…

Connection between Topic-Specific Teacher Knowledge and Student Performance in Lower Secondary School Mathematics

ERIC Educational Resources Information Center

Tchoshanov, Mourat; Quinones, Maria Cruz; Shakirova, Kadriya B.; Ibragimova, Elena N.; Shakirova, Liliana R.

2017-01-01

The interpretive cross-case study focused on the examination of connections between teacher and student topic-specific knowledge of lower secondary mathematics. Two teachers were selected for the study using non-probability purposive sampling technique. Teachers completed the Teacher Content Knowledge Survey before teaching a topic on division of…

Connective Intelligence for Childhood Mathematics Education

ERIC Educational Resources Information Center

Novo, María-Luisa; Alsina, Ángel; Marbán, José-María; Berciano, Ainhoa

2017-01-01

The construction of a connective brain begins at the earliest ages of human development. However, knowledge about individual and collective brains provided so far by research has been rarely incorporated into Maths in Early Childhood classrooms. In spite of that, it is obvious that it is at these ages when the learning of mathematics acts as a…

Is "Connected Teaching" in Mathematics a Gender-Equitable Pedagogy for Adults?

ERIC Educational Resources Information Center

Miller-Reilly, Barbara

2008-01-01

"Connected teaching" is a feminist theory first proposed by Belenky, Clinchy, Goldberger and Tarule (1996, p. 214) then related to the teaching of mathematics by Becker (1995, 1996), Buerk (1994b) and Morrow (1996). The theory of intellectual development elaborated by Belenky and her colleagues uncovered themes common to many women's…

Strengthening Research by Designing for Coherence and Connections to Practice

ERIC Educational Resources Information Center

Boerst, Timothy; Confrey, Jere; Heck, Daniel; Knuth, Eric; Lambdin, Diana V.; White, Dorothy; Baltzley, Patricia C.; Quander, Judith Reed

2010-01-01

The National Council of Teachers of Mathematics (NCTM) is committed to strengthening relations between research and practice and to the development of a coherent knowledge base that is usable in practice. The need to work toward connection and coherence is not unique to the field of mathematics education. Fields such as medicine, software…

The Mathematics--Children's-Literature Connection.

ERIC Educational Resources Information Center

Gailey, Stavroula K.

1993-01-01

Describes three types of children's books for use in developing mathematical concepts. Discusses the characteristics of a good mathematical concept book, methods of incorporating reading into the mathematics class, and three examples of children's books. Includes a bibliography of 159 children's trade books selected for integration into…

A Mathematical Diet Model

ERIC Educational Resources Information Center

Toumasis, Charalampos

2004-01-01

Emphasis on problem solving and mathematical modeling has gained considerable attention in the last few years. Connecting mathematics to other subjects and to the real world outside the classroom has received increased attention in mathematics programs. This article describes an application of simple differential equations in the field of…

Early Years Students' Relationships with Mathematics

ERIC Educational Resources Information Center

Takeuchi, Miwa Aoki; Towers, Jo; Plosz, Jennifer

2016-01-01

Early years mathematics experiences have been shown to be a significant predictor for students' school readiness and future mathematics achievement. Previous research also indicates an important connection between emotion and mathematics learning. How do students in early years education in Alberta describe their emotional relationship with…

Students Upgrading Mathematical Achievement Project SUMA--1989. Evaluation Section Report.

ERIC Educational Resources Information Center

Berney, Tomi D.; Barrera, Marbella

Students Upgrading Mathematical Achievement (SUMA) is a part of the Bilingual Mathematics and Science Achievement project for Spanish-speaking Limited English Proficient (LEP) students. Its objective is to provide both remedial tutoring to students lacking mathematics skills and enrichment to students who are potentially gifted in mathematics.…

Mathematical Modeling: Convoying Merchant Ships

ERIC Educational Resources Information Center

Mathews, Susann M.

2004-01-01

This article describes a mathematical model that connects mathematics with social studies. Students use mathematics to model independent versus convoyed ship deployments and sinkings to determine if the British should have convoyed their merchant ships during World War I. During the war, the British admiralty opposed sending merchant ships grouped…

A Study on the Use of History in Middle School Mathematics: The Case of Connected Mathematics Curriculum

ERIC Educational Resources Information Center

Haile, Tesfayohannes Kiflemariam

2008-01-01

This dissertation explores the use of history of mathematics in middle school mathematics. A rationale for the importance of the incorporation of historical dimensions (HD) of mathematics is provided through a review of the literature. The literature covers pedagogical, philosophical, psychological, and social issues and provides arguments for the…

Case Studies of the Urban Mathematics Collaborative Project: Program Report 91-3.

ERIC Educational Resources Information Center

Popkewitz, Thomas S.; Myrdal, Sigurjon

The Urban Mathematics Collaborative (UMC) project has the goal of contributing to the improvement of mathematics education in the inner-city schools by identifying models to enhance the professional lives of teachers and encouraging the entry of high school mathematics teachers into a larger mathematics community including mathematicians from…

Two Project-Based Strategies in an Interdisciplinary Mathematical Modeling in Biology Course

ERIC Educational Resources Information Center

Ludwig, Patrice; Tongen, Anthony; Walton, Brian

2018-01-01

James Madison University faculty team-teach an interdisciplinary mathematical modeling course for mathematics and biology students. We have used two different project-based approaches to emphasize the mathematical concepts taught in class, while also exposing students to new areas of mathematics not formally covered in class. The first method…

On some methods of discrete systems behaviour simulation

NASA Astrophysics Data System (ADS)

Sytnik, Alexander A.; Posohina, Natalia I.

1998-07-01

The project is solving one of the fundamental problems of mathematical cybernetics and discrete mathematics, the one connected with synthesis and analysis of managing systems, depending on the research of their functional opportunities and reliable behaviour. This work deals with the case of finite-state machine behaviour restoration when the structural redundancy is not available and the direct updating of current behaviour is impossible. The described below method, uses number theory to build a special model of finite-state machine, it is simulating the transition between the states of the finite-state machine using specially defined functions of exponential type with the help of several methods of number theory and algebra it is easy to determine, whether there is an opportunity to restore the behaviour (with the help of this method) in the given case or not and also derive the class of finite-state machines, admitting such restoration.

Oh, Deer!: Predator and Prey Relationships--Students Make Natural Connections through the Integration of Mathematics and Science

ERIC Educational Resources Information Center

Reeder, Stacy; Moseley, Christine

2006-01-01

This article describes an activity that integrates both mathematics and science while inviting students to make connections between the two and learn significant concepts in a meaningful way. Students work within the real-world context of wildlife population scenarios to make predictions, test their hypotheses, and determine and construct graphs…

Using a Square to Complete the Algebra Student: Exploring Algebraic and Geometric Connections in the Quadratic Formula

ERIC Educational Resources Information Center

Yarema, Connie H.; Hendricks, T. David

2010-01-01

Recommendations and standards from various stakeholders in the mathematical preparation of teachers, such as "The Mathematical Education of Teachers" (http://www.cbmsweb.org/MET_Document/chapter_2.htm) and "Beyond Crossroads" (http://beyondcrossroads.amatyc.org/doc/CH6.html), call for courses that emphasize connections within topics in…

Freedom Quilts: Mathematics on the Underground Railroad

ERIC Educational Resources Information Center

Neumann, Maureen D.

2005-01-01

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

Introducing Modeling Transition Diagrams as a Tool to Connect Mathematical Modeling to Mathematical Thinking

ERIC Educational Resources Information Center

Czocher, Jennifer A.

2016-01-01

This study contributes a methodological tool to reconstruct the cognitive processes and mathematical activities carried out by mathematical modelers. Represented as Modeling Transition Diagrams (MTDs), individual modeling routes were constructed for four engineering undergraduate students. Findings stress the importance and limitations of using…

Experimental Mathematics and Computational Statistics

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

Bailey, David H.; Borwein, Jonathan M.

2009-04-30

The field of statistics has long been noted for techniques to detect patterns and regularities in numerical data. In this article we explore connections between statistics and the emerging field of 'experimental mathematics'. These includes both applications of experimental mathematics in statistics, as well as statistical methods applied to computational mathematics.

How Young Students Communicate Their Mathematical Problem Solving in Writing

ERIC Educational Resources Information Center

Teledahl, Anna

2017-01-01

This study investigates young students' writing in connection to mathematical problem solving. Students' written communication has traditionally been used by mathematics teachers in the assessment of students' mathematical knowledge. This study rests on the notion that this writing represents a particular activity which requires a complex set of…

Connecting Science and Mathematics: The Nature of Proof and Disproof in Science and Mathematics

ERIC Educational Resources Information Center

Oehrtman, Michael; Lawson, Anton E.

2008-01-01

Disagreements exist among textbook authors, curriculum developers, and even among science and mathematics educators/researchers regarding the meanings and roles of several key nature-of-science (NOS) and nature-of-mathematics (NOM) terms such as proof, disproof, hypotheses, predictions, theories, laws, conjectures, axioms, theorems, and…

A Primer for Mathematical Modeling

ERIC Educational Resources Information Center

Sole, Marla

2013-01-01

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school…

Problem Posing with the Multiplication Table

ERIC Educational Resources Information Center

Dickman, Benjamin

2014-01-01

Mathematical problem posing is an important skill for teachers of mathematics, and relates readily to mathematical creativity. This article gives a bit of background information on mathematical problem posing, lists further references to connect problem posing and creativity, and then provides 20 problems based on the multiplication table to be…

Connecting Research to Teaching: The "MOST" Productive Student Mathematical Thinking

ERIC Educational Resources Information Center

Stockero, Shari L.; Peterson, Blake E.; Leatham, Keith R.; Van Zoest, Laura R.

2014-01-01

Instruction that meaningfully incorporates students' mathematical thinking is widely valued within the mathematics education community (NCTM 2000; Sherin, Louis, and Mendez 2000; Stein et al. 2008). Although being responsive to student thinking is important, not all student thinking has the same potential to support mathematical learning.…

Black Holes and Beginning Teachers: A Connected Approach to Teaching Mathematics.

ERIC Educational Resources Information Center

Ocean, Jude; Miller-Reilly, Barbara

1997-01-01

Presents a case study on how students fail to learn mathematics and leave school with a dislike of math. Describes the use of metaphors in changing attitudes towards mathematics. (Contains 18 references.) (ASK)

Community College Technical Mathematics Project. Final Report.

ERIC Educational Resources Information Center

Self, Samuel L.

The purpose of the research project was to develop an applied or technical mathematics curriculum which would meet the needs of vocational-technical students at the community college level. The research project was divided into three distinct phases: Identifying the mathematical concepts requisite for job-entry competencies in each of the…

A Review of New Mathematics Curriculum Materials.

ERIC Educational Resources Information Center

Vanderlin, Carl J., Jr.

This manual outlines the nature of some of the major curriculum projects in mathematics and lists materials which are available from these projects. An introductory statement concerning the history and philosophy of each program is indicated. The curriculum projects reported on are: (1) Boston College Mathematics Institute, (2) Cambridge…

"Mathematics in the Workplace": A Pilot Enrichment Programme for Mathematically Talented Primary Students in Hong Kong

ERIC Educational Resources Information Center

Kwan, Anderson C. K.; Yuen, Mantak

2013-01-01

The authors report on the implementation of an enrichment programme titled "Mathematics in the Workplace" for mathematically talented students, aged 8 to 12 years, who were studying in Primary 3 to Primary 6 classes in Hong Kong. The aim of the pilot programme was to enable gifted learners to make connections between mathematics and its…

Building a Career Mathematics File: Challenging Students to Find the Importance of Mathematics in a Variety of Occupations

ERIC Educational Resources Information Center

Keleher, Lori A.

2006-01-01

The Career Mathematics file is an occupational problem-solving system, which includes a wide range of mathematical problems and solutions, collected from various resources and helps students establish connections between mathematics and their environment. The study shows that the problems given can be used as realistic examples to study and…

Connecting Research to Teaching: Professional Communities: Teachers Supporting Teachers.

ERIC Educational Resources Information Center

Adajian, Lisa Byrd

1996-01-01

Reviews research on importance of strong professional communities for supporting reform. National Center for Research in Mathematical Sciences Education (NCRMSE) found significant correlation between teachers' professional community and reformed mathematics instruction. Urban Mathematics Collaboratives (UMC), Quantitative Understanding: Amplifying…

A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools

NASA Astrophysics Data System (ADS)

Kaur, Berinderjeet; Tay, Eng Guan; Toh, Tin Lam; Leong, Yew Hoong; Lee, Ngan Hoe

2018-03-01

A study of school mathematics curriculum enacted by competent teachers in Singapore secondary schools is a programmatic research project at the National Institute of Education (NIE) funded by the Ministry of Education (MOE) in Singapore through the Office of Education Research (OER) at NIE. The main goal of the project is to collect a set of data that would be used by two studies to research the enacted secondary school mathematics curriculum. The project aims to examine how competent experienced secondary school teachers implement the designated curriculum prescribed by the MOE in the 2013 revision of curriculum. It does this firstly by examining the video recordings of the classroom instruction and interactions between secondary school mathematics teachers and their students, as it is these interactions that fundamentally determine the nature of the actual mathematics learning and teaching that take place in the classroom. It also examines content through the instructional materials used—their preparation, use in classroom and as homework. The project comprises a video segment and a survey segment. Approximately 630 secondary mathematics teachers and 600 students are participating in the project. The data collection for the video segment of the project is guided by the renowned complementary accounts methodology while the survey segment adopts a self-report questionnaire approach. The findings of the project will serve several purposes. They will provide timely feedback to mathematics specialists in the MOE, inform pre-service and professional development programmes for mathematics teachers at the NIE and contribute towards articulation of "Mathematics pedagogy in Singapore secondary schools" that is evidence based.

Integrating First-Year Technology and Finite Mathematics Courses

ERIC Educational Resources Information Center

Shafii-Mousavi, Morteza; Kochanowski, Paul

2006-01-01

This paper describes an interdisciplinary project-based mathematics course linked to a computer technology course. The linkage encourages an appreciation of mathematics and technology as students see an immediate use for these skills in completing actual real-world projects. Linking mathematics and technology integrates subjects taught in…

Connectivity inference from neural recording data: Challenges, mathematical bases and research directions.

PubMed

Magrans de Abril, Ildefons; Yoshimoto, Junichiro; Doya, Kenji

2018-06-01

This article presents a review of computational methods for connectivity inference from neural activity data derived from multi-electrode recordings or fluorescence imaging. We first identify biophysical and technical challenges in connectivity inference along the data processing pipeline. We then review connectivity inference methods based on two major mathematical foundations, namely, descriptive model-free approaches and generative model-based approaches. We investigate representative studies in both categories and clarify which challenges have been addressed by which method. We further identify critical open issues and possible research directions. Copyright © 2018 The Author(s). Published by Elsevier Ltd.. All rights reserved.

Electrophysiological dynamic brain connectivity during symbolic magnitude comparison in children with different mathematics achievement levels.

PubMed

Gómez-Velázquez, Fabiola R; Vélez-Pérez, Hugo; Espinoza-Valdez, Aurora; Romo-Vazquez, Rebeca; Salido-Ruiz, Ricardo A; Ruiz-Stovel, Vanessa; Gallardo-Moreno, Geisa B; González-Garrido, Andrés A; Berumen, Gustavo

2017-02-08

Children with mathematical difficulties usually have an impaired ability to process symbolic representations. Functional MRI methods have suggested that early frontoparietal connectivity can predict mathematic achievements; however, the study of brain connectivity during numerical processing remains unexplored. With the aim of evaluating this in children with different math proficiencies, we selected a sample of 40 children divided into two groups [high achievement (HA) and low achievement (LA)] according to their arithmetic scores in the Wide Range Achievement Test, 4th ed.. Participants performed a symbolic magnitude comparison task (i.e. determining which of two numbers is numerically larger), with simultaneous electrophysiological recording. Partial directed coherence and graph theory methods were used to estimate and depict frontoparietal connectivity in both groups. The behavioral measures showed that children with LA performed significantly slower and less accurately than their peers in the HA group. Significantly higher frontocentral connectivity was found in LA compared with HA; however, when the connectivity analysis was restricted to parietal locations, no relevant group differences were observed. These findings seem to support the notion that LA children require greater memory and attentional efforts to meet task demands, probably affecting early stages of symbolic comparison.

Connections between Secondary Mathematics Teachers' Beliefs and Their Selection of Tasks for English Language Learners

ERIC Educational Resources Information Center

de Araujo, Zandra

2017-01-01

The tasks teachers select impact students' opportunities to learn mathematics and teachers' beliefs influence their choice of tasks. Through the qualitative analysis of surveys, interviews and classroom artefacts from three secondary mathematics teachers, this study examined teachers' selection of mathematics tasks for English language learners…

Activities for Students: Connecting Spatial Reasoning Ideas in Mathematics and Chemistry

ERIC Educational Resources Information Center

Raje, Sonali; Krach, Michael; Kaplan, Gail

2013-01-01

Concepts in mathematics are often universally applicable to other fields. A critical aspect for success in high school or college is the ability to transfer content knowledge from one discipline to another. This is especially true for material learned in the sciences and mathematics. Several studies have suggested that strong mathematical skills…

Experiences of Mathematics Student Teachers in a Series of Science Experiments

ERIC Educational Resources Information Center

Aydin, Emin; Delice, Ali

2007-01-01

There is an increased interest in finding connections with mathematics and areas outside mathematics such as hard and soft sciences. This increased interest reflected in many of curriculum reforms that took place during the past few decades including the one in Turkish elementary and secondary mathematics education. Hence we believe that Turkish…

Contextual Teaching and Learning Approach of Mathematics in Primary Schools

NASA Astrophysics Data System (ADS)

Selvianiresa, D.; Prabawanto, S.

2017-09-01

The Contextual Teaching and Learning (CTL) approach is an approach involving active students in the learning process to discover the concepts learned through to knowledge and experience of the students. Similar to Piaget’s opinion that learning gives students an actives trying to do new things by relating their experiences and building their own minds. When students to connecting mathematics with real life, then students can looking between a conceptual to be learned with a concept that has been studied. So that, students can developing of mathematical connection ability. This research is quasi experiment with a primary school in the city of Kuningan. The result showed that CTL learning can be successful, when learning used a collaborative interaction with students, a high level of activity in the lesson, a connection to real-world contexts, and an integration of science content with other content and skill areas. Therefore, CTL learning can be applied by techer to mathematics learning in primary schools.

Voxelwise Spectral Diffusional Connectivity and its Applications to Alzheimer’s Disease and Intelligence Prediction

PubMed Central

Li, Junning; Jin, Yan; Shi, Yonggang; Dinov, Ivo D.; Wang, Danny J.; Toga, Arthur W.; Thompson, Paul M.

2014-01-01

Human brain connectivity can be studied using graph theory. Many connectivity studies parcellate the brain into regions and count fibres extracted between them. The resulting network analyses require validation of the tractography, as well as region and parameter selection. Here we investigate whole brain connectivity from a different perspective. We propose a mathematical formulation based on studying the eigenvalues of the Laplacian matrix of the diffusion tensor field at the voxel level. This voxelwise matrix has over a million parameters, but we derive the Kirchhoff complexity and eigen-spectrum through elegant mathematical theorems, without heavy computation. We use these novel measures to accurately estimate the voxelwise connectivity in multiple biomedical applications such as Alzheimer’s disease and intelligence prediction. PMID:24505723

A Pathway for Mathematical Practices

ERIC Educational Resources Information Center

Wenrick, Melanie; Behrend, Jean L.; Mohs, Laura C.

2013-01-01

How can teachers engage students in learning essential mathematics? The National Council of Teachers of Mathematics recommends using "contexts that promote problem solving, reasoning, communication, making connections, and designing and analyzing representations" (NCTM 2006, p. 11). Understanding the Process Standards (NCTM 2000) enables teachers…

Summer Camp of Mathematical Modeling in China

ERIC Educational Resources Information Center

Tian, Xiaoxi; Xie, Jinxing

2013-01-01

The Summer Camp of Mathematical Modeling in China is a recently created experience designed to further Chinese students' academic pursuits in mathematical modeling. Students are given more than three months to research on a mathematical modeling project. Researchers and teams with outstanding projects are invited to the Summer Camp to present…

Enhancing Mathematics (STEM) Teacher Education in Regional Australia: Pedagogical Interactions and Affect

ERIC Educational Resources Information Center

Woolcott, Geoff; Yeigh, Tony

2015-01-01

This article reports on initial findings, including the mathematics components, of a multi-institutional Science, Technology, Engineering, and Mathematics (STEM) project, "It's part of my life: Engaging university and community to enhance science and mathematics education." This project is focussed on improving the scientific and…

Evaluating the Effectiveness of the 2000-2001 NASA CONNECT(TM) Program

NASA Technical Reports Server (NTRS)

Pinelli, Thomas E.; Frank, Kari Lou; Lambert, Matthew A.

2002-01-01

This report contains the results of the evaluation conducted for the 2000-2001 NASA CONNECT(TM) program conducted in March 2001. The analysis is based on the results collected from 154 surveys collected from educators registered for the program. Respondents indicated that the objectives for each program were met; the programs were aligned with the national (mathematics, science, and technology) standards; the programs were developmentally (grade level) appropriate; and the programs in the 2000-2001 NASA CONNECT(TM) series enhanced/enriched the teaching of mathematics, science, and technology.

Swing into Summer

ERIC Educational Resources Information Center

Marsh, Julia; Loesing, Jenine; Soucie, Marilyn

2005-01-01

The "Math by the Month" activities of May 2005 are focused on connecting sports with mathematics. The problems provide an opportunity to integrate mathematics into students' everyday lives, whereby students will be able to explore linear and time measurement, data collection, statistics, number operations, geometry, discrete mathematics, and…

Measurement, Ratios, and Graphing: Safety First. A Lesson Guide with Activities in Mathematics, Science, and Technology. NASA CONNECT.

ERIC Educational Resources Information Center

National Aeronautics and Space Administration, Hampton, VA. Langley Research Center.

NASA CONNECT is an annual series of free integrated mathematics, science, and technology instructional distance learning programs for students in grades 5-8. Each program has three components: (1) a 30-minute television broadcast which can be viewed live or taped for later use; (2) an interactive Web activity that allows teachers to integrate…

Utilising a construct of teacher capacity to examine national curriculum reform in mathematics

NASA Astrophysics Data System (ADS)

Zhang, Qinqiong; Stephens, Max

2013-12-01

This study involving 120 Australian and Chinese teachers introduces a construct of teacher capacity to analyse how teachers help students connect arithmetic learning and emerging algebraic thinking. Four criteria formed the basis of our construct of teacher capacity: knowledge of mathematics, interpretation of the intentions of official curriculum documents, understanding of students' thinking, and design of teaching. While these key elements connect to what other researchers refer to as mathematical knowledge for teaching, several differences are made clear. Qualitative and quantitative analyses show that our construct was robust and effective in distinguishing between different levels of teacher capacity.

University of Chicago School Mathematics Project 6-12 Curriculum. What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2011

2011-01-01

The "University of Chicago School Mathematics Project ("UCSMP") 6-12 Curriculum" is a series of yearlong courses--(1) Transition Mathematics; (2) Algebra; (3) Geometry; (4) Advanced Algebra; (5) Functions, Statistics, and Trigonometry; and (6) Precalculus and Discrete Mathematics--emphasizing problem solving, real-world applications, and the use…

Assessment in the Context of Mathematics Instruction Reform: The Design of Assessment in the QUASAR Project.

ERIC Educational Resources Information Center

Silver, Edward A.; Lane, Suzanne

Recent reports on mathematics education reform have focused the attention of educational practitioners and policymakers on new goals for mathematics education and new descriptions of mathematical proficiency. QUASAR is a national project (Quantitative Understanding: Amplifying Student Achievement and Reasoning) designed to improve the mathematics…

Vertical Whiteboarding: Riding the Wave of Student Activity in a Mathematics Classroom

ERIC Educational Resources Information Center

Forrester, Tricia; Sandison, Carolyn E.; Denny, Sue

2017-01-01

In 2014 we commenced working on the Inspiring Mathematics and Science in Teacher Education (IMSITE) project, aimed at improving mathematics and science education in Australia by improving the recruitment, development, and retention of mathematics and science teachers. In this project we undertook a range of activities, the most exciting of which…

Connected Mathematics Learning and Gender Equity in Predominately Latino/a High Schools: Case of Spatial Reasoning

ERIC Educational Resources Information Center

Falcon, Raymond

2013-01-01

This study analyzed interventions used in improving the mathematics achievement in spatial reasoning tasks for females called connectedness. Gender achievement in mathematics has been a controversial topic because of the wide variance in research. Some research has found a difference between the genders in mathematics while others argue there is…

Hybrid Task Design: Connecting Learning Opportunities Related to Critical Thinking and Statistical Thinking

ERIC Educational Resources Information Center

Kuntze, Sebastian; Aizikovitsh-Udi, Einav; Clarke, David

2017-01-01

Stimulating thinking related to mathematical content is the focus of many tasks in the mathematics classroom. Beyond such content-related thinking, promoting forms of higher order thinking is among the goals of mathematics instruction as well. So-called hybrid tasks focus on combining both goals: they aim at fostering mathematical thinking and…

Preservice Secondary Teachers' Conceptions from a Mathematical Modeling Activity and Connections to the Common Core State Standards

ERIC Educational Resources Information Center

Stohlmann, Micah; Maiorca, Cathrine; Olson, Travis A.

2015-01-01

Mathematical modeling is an essential integrated piece of the Common Core State Standards. However, researchers have shown that mathematical modeling activities can be difficult for teachers to implement. Teachers are more likely to implement mathematical modeling activities if they have their own successful experiences with such activities. This…

Connecting Theory and Practice: Preservice Teachers' Construction of Practical Tools for Teaching Mathematics

ERIC Educational Resources Information Center

Jacobbe, Tim; Ross, Dorene D.; Caron, D. Alvarez; Barko, Timothy; Busi, Rich

2014-01-01

The National Council of Teachers of Mathematics (NCTM) has called for changes in mathematics teaching from a procedural to conceptual focus since 1980, yet the way mathematics is taught in many classrooms continues to contradict the recommended practices. The pervasiveness of this challenge has led some educators to suggest changes in university…

Challenging Assumptions: Mobile Learning for Mathematics Project in South Africa

ERIC Educational Resources Information Center

Roberts, Nicky; Vanska, Riitta

2011-01-01

This article introduces the Nokia Mobile Learning for Mathematics Project in South Africa, which made use of mobile technology to support mathematics learning at 30 public secondary schools. It draws on the evaluation of this project from January to June 2010. The article discusses learner access to mobile devices, learner and teacher uptake and…

Design of an Internal Model Control strategy for single-phase grid-connected PWM inverters and its performance analysis with a non-linear local load and weak grid.

PubMed

Chaves, Eric N; Coelho, Ernane A A; Carvalho, Henrique T M; Freitas, Luiz C G; Júnior, João B V; Freitas, Luiz C

2016-09-01

This paper presents the design of a controller based on Internal Model Control (IMC) applied to a grid-connected single-phase PWM inverter. The mathematical modeling of the inverter and the LCL output filter, used to project the 1-DOF IMC controller, is presented and the decoupling of grid voltage by a Feedforward strategy is analyzed. A Proportional - Resonant Controller (P+Res) was used for the control of the same plant in the running of experimental results, thus moving towards the discussion of differences regarding IMC and P+Res performances, which arrived at the evaluation of the proposed control strategy. The results are presented for typical conditions, for weak-grid and for non-linear local load, in order to verify the behavior of the controller against such situations. Copyright © 2016 ISA. Published by Elsevier Ltd. All rights reserved.

Using research to enhance student learning in intermediate mechanics

NASA Astrophysics Data System (ADS)

Ambrose, Bradley

2011-03-01

For many undergraduate physics majors the sophomore/junior level course in intermediate mechanics represents their first step beyond the introductory sequence. Over the past several years research has shown that intermediate mechanics students often encounter conceptual and reasoning difficulties similar to those that arise at the introductory level. Many difficulties suggest deeply-seated alternate conceptions, while others suggest loosely or spontaneously connected intuitions. Furthermore, students often do not connect the physics to the more sophisticated mathematics they are expected to use. This presentation will highlight results from research conducted at Grand Valley State University, the University of Maine (by co-PI Michael Wittmann) and pilot sites in the Intermediate Mechanics Tutorials project. These results, taken from the analysis of pretests (ungraded quizzes), written exams, and classroom observations, will illustrate specific student difficulties as well as examples of guided-inquiry teaching strategies that appear to address these difficulties. (Supported by NSF grants DUE-0441426 and DUE-0442388.)

Humanize Your Classroom with the History of Mathematics.

ERIC Educational Resources Information Center

Bidwell, James K.

1993-01-01

History humanizes mathematics and explains the "whys" by showing its logical development. Communicating, connecting, and valuing of mathematics can be effected by interjecting historical moments, reading biographies, creating displays for the classroom, and tracing historically accurate developments of topics in class. (Contains 26…

Teaching Mathematics Education with Cultural Competency

ERIC Educational Resources Information Center

Dornoo, Michael

2015-01-01

Students learn through connections when understanding is enhanced by a more holistic view of the content. When mathematics is presented from diverse perspectives, students with diverse backgrounds, expectations, histories, and experiences benefit greatly. In this article the author addresses the need to teach mathematics with cultural competency…

Promoting Mathematical Connections Using Three-Dimensional Manipulatives

ERIC Educational Resources Information Center

Safi, Farshid; Desai, Siddhi

2017-01-01

"Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014) gives teachers access to an insightful, research-informed framework that outlines ways to promote reasoning and sense making. Specifically, as students transition on their mathematical journey through middle school and beyond, their knowledge and use of…

Mathematics Coaching in High School: The Impact of Coach and Teacher Interactions

ERIC Educational Resources Information Center

Pusey, Eleanor Louise

2013-01-01

This dissertation study examined a high school mathematics coach in the context of a three-year project called MAST (Mathematics Achievement Success Today) that provided summer content courses, lesson study, and mathematics coaching for high school teachers. This study focused in particular on the work of the MAST project coach as she interacted…

The Impact of a Teacher Education Culture-Based Project on Identity as a Mathematically Thinking Teacher

ERIC Educational Resources Information Center

Owens, Kay

2014-01-01

Identity as a mathematics teacher is enhanced when a teacher explores the cultural setting of their mathematics. The reports of projects that link culture and mathematics were analysed to explore the impact of sociocultural situations together with affective and cognitive aspects of self-regulation on identity. The reports were written by…

Preliminary Evaluation Report on the Los Angeles City Schools, SB 28 Demonstration Program in Mathematics.

ERIC Educational Resources Information Center

Gordon, C. Wayne

The purpose of this preliminary report is to describe and evaluate the Los Angeles Model Mathematics Project (LAMMP). The objectives of this project include the improvement of mathematical skills and understanding of mathematical concepts, the improvement of students' self-image, the development of instructional materials and the assessment of…

Connecting the Curriculum through National Science and Mathematics Standards: A Matrix Approach.

ERIC Educational Resources Information Center

Francis, Raymond

This paper provides instructions for linking conceptual understandings using the Connections Matrix. The Connections Matrix and the process of connecting the curriculum works equally well with state-level learning objectives or outcomes. The intent of this process is to help educators see the overlap and connections between what teachers say they…

Problem Solving: The "Wright" Math. The Centennial of Flight Special Edition. An Educator Guide with Activities in Mathematics, Science, and Technology. NASA CONNECT[TM].

ERIC Educational Resources Information Center

National Aeronautics and Space Administration, Hampton, VA. Langley Research Center.

NASA CONNECT is an annual series of integrated mathematics, science, and technology instructional distance learning programs for students in grades 6-8. This program is designed for students to learn about the evolution of flight. The program has three components--television broadcast, Web activity, and lesson guide--which are designed as an…

A Mathematical Exploration of "Grandpa's Quilt"

ERIC Educational Resources Information Center

Reynolds, Anne; Cassel, Darlinda; Lillard, Eileen

2006-01-01

This article describes a mathematics unit developed with second-grade students based on the story, "Grandpa's Quilt." The activities encourage students to make connections with a number of areas of mathematics, particularly patterns and relationships, measurement, geometry, and spatial sense as well as multiplication activities. (Contains 7…

An Emergent Framework: Views of Mathematical Processes

ERIC Educational Resources Information Center

Sanchez, Wendy B.; Lischka, Alyson E.; Edenfield, Kelly W.; Gammill, Rebecca

2015-01-01

The findings reported in this paper were generated from a case study of teacher leaders at a state-level mathematics conference. Investigation focused on how participants viewed the mathematical processes of communication, connections, representations, problem solving, and reasoning and proof. Purposeful sampling was employed to select nine…

Mathematics Teachers at Work: Connecting Curriculum Materials and Classroom Instruction. Studies in Mathematical Thinking and Learning Series

ERIC Educational Resources Information Center

Remillard, Janine T., Ed.; Herbel-Eisenmann, Beth A., Ed.; Lloyd, Gwendolyn M., Ed.

2011-01-01

This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on--but not restricted to--those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite…

What Is Mathematical Modelling? Exploring Prospective Teachers' Use of Experiments to Connect Mathematics to the Study of Motion

ERIC Educational Resources Information Center

Carrejo, David J.; Marshall, Jill

2007-01-01

This paper focuses on the construction, development, and use of mathematical models by prospective science and mathematics teachers enrolled in a university physics course. By studying their involvement in an inquiry-based, experimental approach to learning kinematics, we address a fundamental question about the meaning and role of abstraction in…

Why Should Mathematics Educators Learn from and about Latina/o Students' In-School and Out-of-School Experiences?

ERIC Educational Resources Information Center

Civil, Marta

2014-01-01

University of Arizona's Marta Civil has been studying the complexities of bridging in-school and out-of-school mathematics for some time, during which she has raised specific questions related to connecting in-school and out-of-school mathematics (Civil, 2002, 2007, 2014). These questions have to do with "What is mathematics?"…

Evaluating the Effectiveness of the 1999-2000 NASA CONNECT Program

NASA Technical Reports Server (NTRS)

Pinelli, Thomas E.; Frank, Kari Lou

2002-01-01

NASA CONNECT is a standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (satellite and television) programs for students in grades 6-8. Each of the five programs in the 1999-2000 NASA CONNECT series included a lesson, an educator guide, a student activity or experiment, and a web-based component. In March 2000, a mail (self-reported) survey (booklet) was sent to a randomly selected sample of 1,000 NASA CONNECT registrants. A total of 336 surveys (269 usable) were received by the established cut-off date. Most survey questions employed a 5-point Likert-type response scale. Survey topics included (1) instructional technology and teaching, (2) instructional programming and technology in the classroom, (3) the NASA CONNECT program, (4) classroom use of computer technology, and (5) demographics. About 73% of the respondents were female, about 92% identified "classroom teacher" as their present professional duty, about 90% worked in a public school, and about 62% held a master's degree or master's equivalency. Regarding NASA CONNECT, respondents reported that (1) they used the five programs in the 1999-2000 NASA CONNECT series; (2) the stated objectives for each program were met (4.54); (3) the programs were aligned with the national mathematics, science, and technology standards (4.57); (4) program content was developmentally appropriate for grade level (4.17); and (5) the programs in the 1999-2000 NASA CONNECT series enhanced/enriched the teaching of mathematics, science, and technology (4.51).

Evaluating the Effectiveness of the 1998-1999 NASA CONNECT Program

NASA Technical Reports Server (NTRS)

Pinelli, Thomas E.; Frank, Kari Lou; House, Patricia L.

2000-01-01

NASA CONNECT is a standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (satellite and television) programs for students in grades 5-8. Each of the five programs in the 1998-1999 NASA CONNECT series included a lesson, an educator guide, a student activity or experiment, and a web-based component. In March 1999, a mail (self-reported) survey (booklet) was sent to a randomly selected sample of 1,000 NASA CONNECT registrants. A total of 401 surveys (351 usable) were received by the established cut-off date. Most survey questions employed a 5-point Likert-type response scale. Survey topics included: (1) instructional technology and teaching, (2) instructional programming and technology in the classroom, (3) the NASA CONNECT program, (4) classroom use of computer technology, and (5) demographics. About 68% of the respondents were female, about 88% identified "classroom teacher" as their present professional duty, about 75% worked in a public school, and about 67% held a master's degree or master's equivalency. Regarding NASA CONNECT, respondents reported that: (1) they used the five programs in the 1998-1999 NASA CONNECT series; (2) the stated objectives for each program were met (4.49); (3) the programs were aligned with the national mathematics, science, and technology standards (4.61); (4) program content was developmentally appropriate for grade level (4.25); and (5) the programs in the 1998-1999 NASA CONNECT series enhanced/enriched the teaching of mathematics, science, and technology (4.45).

Assessing the Effectiveness of a Mathematics-Focused, Instructional Technology Program for Grades 6-8: A 5-Year Trend Analysis of NASA CONNECT(tm) Evaluation Data

NASA Technical Reports Server (NTRS)

Glassman, Nanci A.; Perry, Jeannine B.; Giersch, Christopher E.; Lambert, Matthew A.; Pinelli, Thomas E.

2004-01-01

NASA CONNECT is a research-, inquiry, and standards-based, integrated mathematics, science, and technology series of 30-minute instructional distance learning (television and web-based) programs for students in grades 6 8. Respondents who evaluated the programs in the series over the first five seasons (1998-99 through 2002-03) reported that (1) they used the programs in the series; (2) the goals and objectives for the series were met; (3) the programs were aligned with the national mathematics, science, and technology standards; (4) the program content was developmentally appropriate for the grade level; and (5) the programs in the series enhanced and enriched the teaching of mathematics, science, and technology.

What Works: Building Natural Science Communities. Resources for Reform. Strengthening Undergraduate Science and Mathematics. A Report of Project Kaleidoscope. Volume Two.

ERIC Educational Resources Information Center

Narum, Jeanne L., Ed.

The purpose of Project Kaleidoscope is to be a catalyst for action to encourage a national environment for reform in undergraduate education in science and mathematics in the United States. This report, the second of two volumes, presents ideas from Project Kaleidoscope that involve changing undergraduate science and mathematics education through…

A Proposed System for Differentiating Elementary Mathematics for Exceptionally Able Students.

ERIC Educational Resources Information Center

Sirr, Palma M.

1984-01-01

A pilot mathematics project for one exceptionally able elementary student expanded to include other students and schools. Project activities included a needs assessment and development of a learning center approach and materials to differentiate the core elementary mathematics curriculum. (CL)

"Connectivism"--A New Paradigm for the Mathematics Anxiety Challenge?

ERIC Educational Resources Information Center

Klinger, Christopher M.

2011-01-01

A major challenge for practitioners in adult mathematics education is to achieve effective learning outcomes in the face of prevailing negative attitudes in their students, often present as a consequence of unsatisfactory early mathematics learning experience and flowing from the wellestablished connection between adult innumeracy and mathematics…

Mathematics and Science across the Curriculum.

ERIC Educational Resources Information Center

Thorson, Annette, Ed.

2002-01-01

This issue, intended for classroom teachers, provides a collection of essays organized around the theme of mathematics and science across the curriculum as well as a guide to instructional materials related to the theme. Topics addressed in the essays include experiencing mathematics through nature; connecting science, fiction, and real life;…

Connecting Dynamic Representations of Simple Mathematical Objects with the Construction and Exploration of Conic Sections

ERIC Educational Resources Information Center

Santos-Trigo, Manuel; Espinosa-Perez, Hugo; Reyes-Rodriguez, Aaron

2008-01-01

Different technological artefacts may offer distinct opportunities for students to develop resources and strategies to formulate, comprehend and solve mathematical problems. In particular, the use of dynamic software becomes relevant to assemble geometric configurations that may help students reconstruct and examine mathematical relationships. In…

Integrating Literature into the Teaching of Mathematics

ERIC Educational Resources Information Center

Cox, Teodora

2016-01-01

Mathematics teachers are frequently looking for real-life applications and meaningful integration of mathematics and other content areas. Many genuinely seek to reach out to students and help them make connections between the often abstract topics taught in school. In this article the author presents ideas on integrating literature and mathematics…

Mathematics and Martial Arts as Connected Art Forms

ERIC Educational Resources Information Center

Hekimoglu, Serkan

2010-01-01

Parallels between martial arts and mathematics are explored. Misguided public perception of both disciplines, students' misconceptions, and the similarities between proofs and katas are among the striking commonalities between martial arts and mathematics. The author also reflects on what he has learned in his martial arts training, and how this…

Beyond the Write Answer: Mathematical Connections

ERIC Educational Resources Information Center

Haltiwanger, Leigh; Simpson, Amber M.

2013-01-01

As math teachers, the authors often encountered students who could ace a test but not explain their reasoning. This phenomenon was disturbing to them, and they fought for years to help students both understand mathematical concepts and develop meaning for them. Since their primary goal was to develop mathematically literate students, their…

Mathematical Explorations: Freshwater Scarcity: A Proportional Representation

ERIC Educational Resources Information Center

King, Alessandra

2014-01-01

Middle school students' mathematical understanding benefits from connecting mathematics to other content areas in the curriculum. This month's activity explores the issue of the scarcity of freshwater, a natural resource (activity sheets are included). This activity concentrates on the critical areas mentioned in the Common Core State…

Connecting Social and Mathematical Thinking: The Use of "Real Life" Contexts

ERIC Educational Resources Information Center

Sawatzki, Carly

2014-01-01

This paper reports the findings of research into an educational intervention featuring open-ended mathematical problems situated in "real life" contexts and associated pedagogies. "Money and financial mathematics" is the topic in focus, with tasks termed "financial dilemmas" being trialled by 35 teachers in 16…

Slovenian Pre-Service Teachers' Prototype Biography

ERIC Educational Resources Information Center

Lipovec, Alenka; Antolin, Darja

2014-01-01

In this article we apply narrative methodology to the study of pre-service elementary teachers' school-time memories connected to mathematics education. In the first phase of our empirical study we asked 214 Slovenian pre-service teachers to write their mathematical autobiographies. On the basis of the mathematical autobiographies we constructed a…

THE EVOLUTION OF SCHOOL MATHEMATICS.

ERIC Educational Resources Information Center

DAVIS, ROBERT B.

ACTION AND PLANS OF THE MADISON PROJECT TO GIVE RATIONAL GUIDANCE TO EVOLUTIONARY CHANGES IN SCHOOL MATHEMATICS ARE DESCRIBED. THE PROJECT ATTEMPTS TO CONTRIBUTE TO RATIONAL GUIDANCE OF EDUCATIONAL EVOLUTION BY MAKING "THRUSTS AND PROBES" INTO THE UNKNOWN POTENTIAL OF MATHEMATICS LEARNING. EXAMPLES ARE--INTRODUCING THE ARITHMETIC OF…

Learning biology through connecting mathematics to scientific mechanisms: Student outcomes and teacher supports

NASA Astrophysics Data System (ADS)

Schuchardt, Anita

Integrating mathematics into science classrooms has been part of the conversation in science education for a long time. However, studies on student learning after incorporating mathematics in to the science classroom have shown mixed results. Understanding the mixed effects of including mathematics in science has been hindered by a historical focus on characteristics of integration tangential to student learning (e.g., shared elements, extent of integration). A new framework is presented emphasizing the epistemic role of mathematics in science. An epistemic role of mathematics missing from the current literature is identified: use of mathematics to represent scientific mechanisms, Mechanism Connected Mathematics (MCM). Building on prior theoretical work, it is proposed that having students develop mathematical equations that represent scientific mechanisms could elevate their conceptual understanding and quantitative problem solving. Following design and implementation of an MCM unit in inheritance, a large-scale quantitative analysis of pre and post implementation test results showed MCM students, compared to traditionally instructed students) had significantly greater gains in conceptual understanding of mathematically modeled scientific mechanisms, and their ability to solve complex quantitative problems. To gain insight into the mechanism behind the gain in quantitative problem solving, a small-scale qualitative study was conducted of two contrasting groups: 1) within-MCM instruction: competent versus struggling problem solvers, and 2) within-competent problem solvers: MCM instructed versus traditionally instructed. Competent MCM students tended to connect their mathematical inscriptions to the scientific phenomenon and to switch between mathematical and scientifically productive approaches during problem solving in potentially productive ways. The other two groups did not. To address concerns about teacher capacity presenting barriers to scalability of MCM approaches, the types and amount of teacher support needed to achieve these types of student learning gains were investigated. In the context of providing teachers with access to educative materials, students achieved learning gains in both areas in the absence of face-to-face teacher professional development. However, maximal student learning gains required the investment of face-to-face professional development. This finding can govern distribution of scarce resources, but does not preclude implementation of MCM instruction even where resource availability does not allow for face-to-face professional development.

A Phenomenological Research Study of the Experience of Teachers in the Virgin Islands Teacher Enhancement in Mathematics and Science Project

ERIC Educational Resources Information Center

Thurland, Karen C.

2012-01-01

The purpose of conducting this study was to describe the experience of elementary teachers in a mathematics and science staff development project in the U.S. Virgin Islands. The focus of this study was to describe the meaning teachers attribute to their experience in this three year project, in which many of the national mathematics and science…

A STUDY OF THE EFFECTS OF EXPERIMENTAL PROGRAMS ON PUPIL ACHIEVEMENT OBSERVED DURING FIRST THREE YEARS OF THE PROJECT, SECONDARY MATHEMATICS EVALUATION PROJECT. INTERIM REPORT.

ERIC Educational Resources Information Center

ERICKSEN, GERALD L.; RYAN, JAMES J.

A REPORT IS GIVEN OF THE FIRST 3 YEARS OF A FIELD STUDY CONDUCTED TO DETERMINE THE EFFECTIVENESS OF SEVERAL PROTOTYPE, SECONDARY MATHEMATICS PROGRAMS THAT WERE PRODUCED BY DIFFERENT CURRICULUM DEVELOPMENT GROUPS. MATHEMATICS TEACHERS WHO HAD NO PREVIOUS EXPERIENCE WITH "MODERN" OR EXPERIMENTAL APPROACHES TO MATHEMATICS TAUGHT A SELECTED…

MAESTRO: Mathematics and Earth Science Teachers' Resource Organization

NASA Astrophysics Data System (ADS)

Courtier, A. M.; Pyle, E. J.; Fichter, L.; Lucas, S.; Jackson, A.

2013-12-01

The Mathematics and Earth Science Teachers' Resource Organization (MAESTRO) partnership between James Madison University and Harrisonburg City and Page County Public Schools, funded through NSF-GEO. The partnership aims to transform mathematics and Earth science instruction in middle and high schools by developing an integrated mathematics and Earth systems science approach to instruction. This curricular integration is intended to enhance the mathematical skills and confidence of students through concrete, Earth systems-based examples, while increasing the relevance and rigor of Earth science instruction via quantification and mathematical modeling of Earth system phenomena. MAESTRO draws heavily from the Earth Science Literacy Initiative (2009) and is informed by criterion-level standardized test performance data in both mathematics and Earth science. The project has involved two summer professional development workshops, academic year Lesson Study (structured teacher observation and reflection), and will incorporate site-based case studies with direct student involvement. Participating teachers include Grade 6 Science and Mathematics teachers, and Grade 9 Earth Science and Algebra teachers. It is anticipated that the proposed integration across grade bands will first strengthen students' interests in mathematics and science (a problem in middle school) and subsequently reinforce the relevance of mathematics and other sciences (a problem in high school), both in support of Earth systems literacy. MAESTRO's approach to the integration of math and science focuses on using box models to emphasize the interconnections among the geo-, atmo-, bio-, and hydrospheres, and demonstrates the positive and negative feedback processes that connect their mutual evolution. Within this framework we explore specific relationships that can be described both qualitatively and mathematically, using mathematical operations appropriate for each grade level. Site-based case studies, developed in collaboration between teachers and JMU faculty members, provide a tangible, relevant setting in which students can apply and understand mathematical applications and scientific processes related to evolving Earth systems. Initial results from student questionnaires and teacher focus groups suggest that the anticipated impacts of MAESTRO on students are being realized, including increased valuing of mathematics and Earth science in society and transfer between mathematics and science courses. As a high percentage of students in the MAESTRO schools are of low socio-economic status, they also face the prospect of becoming first-generation college students, hopefully considering STEM academic pathways. MAESTRO will drive the development of challenging and engaging instruction designed to draw a larger pool of students into STEM career pathways.

The Great Mathematician Project

ERIC Educational Resources Information Center

Goldberg, Sabrina R.

2013-01-01

The Great Mathematician Project (GMP) introduces both mathematically sophisticated and struggling students to the history of mathematics. The rationale for the GMP is twofold: first, mathematics is a uniquely people-centered discipline that is used to make sense of the world; and second, students often express curiosity about the history of…

CRP: Collaborative Research Project (A Mathematical Research Experience for Undergraduates)

ERIC Educational Resources Information Center

Parsley, Jason; Rusinko, Joseph

2017-01-01

The "Collaborative Research Project" ("CRP")--a mathematics research experience for undergraduates--offers a large-scale collaborative experience in research for undergraduate students. CRP seeks to widen the audience of students who participate in undergraduate research in mathematics. In 2015, the inaugural CRP had 100…

Mathematics Detective.

ERIC Educational Resources Information Center

Johnson, Jerry

1997-01-01

Presents 12 questions related to a given real-life situation about a man shaving and the number of hairs in his beard in order to help students see the connection between mathematics and the world around them. (ASK)

Connecting Research to Teaching: Integrated Curricula and Preparation for College Mathematics

ERIC Educational Resources Information Center

Post, Thomas R.; Monson, Debra S.; Andersen, Edwin; Harwell, Michael R.

2012-01-01

In the early 1990s, after a long series of disappointing results on national and international mathematics achievement tests the National Science Foundation (NSF) funded the development of thirteen complete mathematics programs at the elementary school, middle school, and secondary school levels. Many teachers were quite happy with the new…

Connecting Pre-Service Teachers with Contemporary Mathematics Practices: Selecting and Sequencing Students' Work Samples

ERIC Educational Resources Information Center

Livy, Sharyn; Muir, Tracey; Downton, Ann

2017-01-01

One of the challenges facing teacher educators is providing our pre-service teachers (PSTs) with authentic experiences that cross the boundaries between Initial Teacher Education (ITE) and the classroom. An additional challenge facing the mathematics teacher educator, is addressing and deepening PSTs' mathematical content knowledge (MCK), which…

The Mathematics of Skateboarding: A Relevant Application of the 5Es of Constructivism

ERIC Educational Resources Information Center

Robertson, William H.; Meyer, Rachelle D.; Wilkerson, Trena L.

2012-01-01

Getting high school students to enjoy mathematics and to connect concepts to their daily lives is a challenge for many educators. The Mathematics of Skateboarding demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school students in Algebra and Geometry.

Discovering Euler Circuits and Paths through a Culturally Relevant Lesson

ERIC Educational Resources Information Center

Robichaux, Rebecca R.; Rodrigue, Paulette R.

2006-01-01

This article describes a middle school discrete mathematics lesson that uses the context of catching crawfish to provide students with a hands-on experience related to Euler circuits and paths. The lesson promotes mathematical communication through the use of cooperative learning as well as connections between mathematics and the real world…

Student Talk and Opportunities for Mathematical Learning in Small Group Interactions

ERIC Educational Resources Information Center

Wood, Marcy B.; Kalinec, Crystal A.

2012-01-01

Small group interactions are an important tool for mathematical learning and yet researchers have neither examined small group talk across entire lessons nor have they focused on moments of mathematical learning in small groups. We examined such talk and identified kinds of interactions and connections between interactions and mathematical…

Connecting Teacher Professional Development and Student Mathematics Achievement: Mediating Belonging With Multimodal Explorations in Language, Identity, and Culture

ERIC Educational Resources Information Center

Kutaka, Traci Shizu; Smith, Wendy M.; Albano, Anthony D.; Edwards, Carolyn Pope; Ren, Lixin; Beattie, Heidi Lynn; Lewis, W. James; Heaton, Ruth M.; Stroup, Walter W.

2017-01-01

The present study investigated the effects of "Primarily Math", an inservice elementary mathematics specialist program. "Primarily Math" sought to augment the mathematical knowledge for teaching of kindergarten through third-grade teachers using a longitudinal multiple cohort design. Two sets of analyses were conducted. The…

Why Use Multiple Representations in the Mathematics Classroom? Views of English and German Preservice Teachers

ERIC Educational Resources Information Center

Dreher, Anika; Kuntze, Sebastian; Lerman, Stephen

2016-01-01

Dealing with multiple representations and their connections plays a key role for learners to build up conceptual knowledge in the mathematics classroom. Hence, professional knowledge and views of mathematics teachers regarding the use of multiple representations certainly merit attention. In particular, investigating such views of preservice…

The Framing Discussion: Connecting Student Experience with Mathematical Knowledge

ERIC Educational Resources Information Center

Henning, John E.; Balong, Megan

2011-01-01

This article introduces the framing discussion, an informal discussion of a mathematical problem that takes place at the beginning of a lesson or unit. The purpose of the framing discussion is to assess student knowledge, motivate student interest, and to serve as a basis for guiding students to more formal mathematical knowledge. The article…

Mathematical Adventures with Harry Potter

ERIC Educational Resources Information Center

Wagner, Meaghan M.; Lachance, Andrea

2004-01-01

The current popularity of the Harry Potter books (Rowling 1998, 1999a, 1999b, 2000, 2003) gives teachers a new and unique opportunity to integrate literature with mathematics. Often, books that are connected to mathematical explorations are picture books, which teachers can read easily in one sitting to a group of children. The books in the Harry…

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,…

Inclusion and Diversity from Hegelylacan Point of View: Do We Desire Our Desire for Change?

ERIC Educational Resources Information Center

Baldino, Roberto Ribeiro; Cabral, Tania Cristina B.

2006-01-01

This paper discusses the problem of social exclusion, reported to be intrinsically connected to mathematical teaching from the perspective of Hegel's philosophy and Lacan's psychoanalysis. It provides a characterization of mathematics from a language viewpoint discusses the perennial demand for more mathematical achieving from the perspective of…

Productive Ambiguity in the Learning of Mathematics

ERIC Educational Resources Information Center

Foster, Colin

2011-01-01

In this paper I take a positive view of ambiguity in the learning of mathematics. Following Grosholz (2007), I argue that it is not only the arts which exploit ambiguity for creative ends but science and mathematics too. By enabling the juxtaposition of multiple conflicting frames of reference, ambiguity allows novel connections to be made. I…

Comparing the Development of the Multiplication of Fractions in Turkish and American Textbooks

ERIC Educational Resources Information Center

Kar, Tugrul; Güler, Gürsel; Sen, Ceylan; Özdemir, Ercan

2018-01-01

This study analyzed the methods used to teach the multiplication of fractions in Turkish and American textbooks. Two Turkish textbooks and two American textbooks, "Everyday Mathematics" (EM) and "Connected Mathematics 3" (CM), were analyzed. The analyses focused on the content and the nature of the mathematical problems…

Linking Proportionality across the Science and Mathematics Curricula through Science Literacy Maps

ERIC Educational Resources Information Center

Richardson, Kerri; Matthews, Catherine; Thompson, Catherine

2008-01-01

Proportionality should be a central focus of the middle-grades science and mathematics curricula and concepts such as density can be introduced and taught in both disciplines, highlighting for students the connections between science and mathematics. This month's column describes how teachers can utilize the "The Atlas of Science Literacy" and…

Mathematics Teachers' Use of Information and Communication Technologies: An International Comparison

ERIC Educational Resources Information Center

Kiru, Elisheba W.

2018-01-01

There is an urgent need to understand how often teachers use information and communication technologies (ICT) in mathematics instruction. This information can provide vital links that can help stakeholders make connections about ICT use in mathematics instruction and student learning experiences with ICT. Scholars in the field have reported on the…

The Differences in Scores and Self-Efficacy by Student Gender in Mathematics and Science

ERIC Educational Resources Information Center

Louis, Rachel A.; Mistele, Jean M.

2012-01-01

Typically, mathematics and science are seen as linked together, where both subjects involve numbers, critical thinking, and problem solving. Our study aims to develop a better understanding of the connections between student's achievement scores in mathematics and science, student gender, and self-efficacy. We used the Trends in International…

Good Questions: Great Ways to Differentiate Mathematics Instruction. Second Edition

ERIC Educational Resources Information Center

Small, Marian

2012-01-01

Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K-8 classroom. In this bestseller, math education expert Marian Small…

Different Procedures for Solving Mathematical Word Problems in High School

ERIC Educational Resources Information Center

Gasco, Javier; Villarroel, Jose Domingo; Zuazagoitia, Dani

2014-01-01

The teaching and learning of mathematics cannot be understood without considering the resolution of word problems. These kinds of problems not only connect mathematical concepts with language (and therefore with reality) but also promote the learning related to other scientific areas. In primary school, problems are solved by using basic…

Evolving Polygons and Spreadsheets: Connecting Mathematics across Grade Levels in Teacher Education

ERIC Educational Resources Information Center

Abramovich, Sergei; Brouwer, Peter

2009-01-01

This paper was prepared in response to the Conference Board of Mathematical Sciences recommendations for the preparation of secondary teachers. It shows how using trigonometry as a conceptual tool in spreadsheet-based applications enables one to develop mathematical understanding in the context of constructing geometric representations of unit…

Computing the Ediz eccentric connectivity index of discrete dynamic structures

NASA Astrophysics Data System (ADS)

Wu, Hualong; Kamran Siddiqui, Muhammad; Zhao, Bo; Gan, Jianhou; Gao, Wei

2017-06-01

From the earlier studies in physical and chemical sciences, it is found that the physico-chemical characteristics of chemical compounds are internally connected with their molecular structures. As a theoretical basis, it provides a new way of thinking by analyzing the molecular structure of the compounds to understand their physical and chemical properties. In our article, we study the physico-chemical properties of certain molecular structures via computing the Ediz eccentric connectivity index from mathematical standpoint. The results we yielded mainly apply to the techniques of distance and degree computation of mathematical derivation, and the conclusions have guiding significance in physical engineering.

Pupils' View of Mathematics: Initial Report for an International Comparison Project. Research Report 152.

ERIC Educational Resources Information Center

Pehkonen, Erkki

This report describes the theoretical background of an international comparison project on pupils' mathematical beliefs and outlines its realization. The first chapter briefly discusses problems with the underlying concepts of "belief" and "conception." The central concept, view of mathematics, is introduced in the second…

Self-Perceptions of Pre-Service Mathematics Teachers Completing a Graduate Diploma of Secondary Education

ERIC Educational Resources Information Center

Hine, Gregory S. C.

2015-01-01

This qualitative research project explored the self-perceptions of pre-service secondary mathematics teachers completing a Graduate Diploma of Secondary Education. Specifically, the researcher investigated the extent to which teachers perceived their readiness to commence a secondary mathematics teaching position. The project relied principally on…

University of Chicago School Mathematics Project (UCSMP). What Works Clearinghouse Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2016

2016-01-01

"University of Chicago School Mathematics Project" ("UCSMP") is a core mathematics curriculum that emphasizes problem solving, real-world applications, and the use of technology. The curriculum is based on a student-centered approach with a focus on active learning that incorporates reading and uses a flexible lesson…

The Effectiveness of Project-Based Learning on Mathematics Proficiency with African American Students

ERIC Educational Resources Information Center

Jenkins, Justina

2017-01-01

This sequential exploratory mixed methods study addressed the problem of low academic achievement in mathematics, specifically for African American middle school students who historically score below proficient levels on standardized mathematics assessments. The purpose was to investigate the effectiveness of the Project-Based Learning (PBL)…

The Discovery Approach to Mathematics.

ERIC Educational Resources Information Center

Wilson, Lois Fair

Summarized are presentations made at a one-day teachers' workshop organized by the Bicultural Socialization Project to discuss the materials to be used in mathematics learning centers in the project classrooms. The first chapter discusses the basic philosophy, whereby pupils are to be encouraged to enjoy the discovery of mathematical relationships…

Learning the Work of Ambitious Mathematics Teaching

ERIC Educational Resources Information Center

Anthony, Glenda; Hunter, Roberta

2013-01-01

"Learning the Work of Ambitious Mathematics" project was developed to support prospective teachers learn the work of ambitious mathematics teaching. Building on the work of U.S. researchers in the "Learning in, from, and for Teaching Practice" project, we investigate new ways to make practice studyable within the university…

Student Perceptions of Writing Projects in a University Differential-Equations Course

ERIC Educational Resources Information Center

Latulippe, Christine; Latulippe, Joe

2014-01-01

This qualitative study surveyed 102 differential-equations students in order to investigate how students participating in writing projects in university-level mathematics courses perceive the benefits of writing in the mathematics classroom. Based on previous literature on writing in mathematics, students were asked specifically about the benefits…

Spatial and temporal influences on hydrologic connectivity: A mathematical formalization

EPA Science Inventory

Connectivity between landscape elements has been an important consideration in landscape ecology since at least the mid-1980s. In particular, the use of random landscapes to study the interaction between connectivity, landscape structure, and dispersal mechanisms has provided in...

Processes involved in solving mathematical problems

NASA Astrophysics Data System (ADS)

Shahrill, Masitah; Putri, Ratu Ilma Indra; Zulkardi, Prahmana, Rully Charitas Indra

2018-04-01

This study examines one of the instructional practices features utilized within the Year 8 mathematics lessons in Brunei Darussalam. The codes from the TIMSS 1999 Video Study were applied and strictly followed, and from the 183 mathematics problems recorded, there were 95 problems with a solution presented during the public segments of the video-recorded lesson sequences of the four sampled teachers. The analyses involved firstly, identifying the processes related to mathematical problem statements, and secondly, examining the different processes used in solving the mathematical problems for each problem publicly completed during the lessons. The findings revealed that for three of the teachers, their problem statements coded as `using procedures' ranged from 64% to 83%, while the remaining teacher had 40% of his problem statements coded as `making connections.' The processes used when solving the problems were mainly `using procedures', and none of the problems were coded as `giving results only'. Furthermore, all four teachers made use of making the relevant connections in solving the problems given to their respective students.

Analysis, testing, and evaluation of faulted and unfaulted Wye, Delta, and open Delta connected electromechanical actuators

NASA Technical Reports Server (NTRS)

Nehl, T. W.; Demerdash, N. A.

1983-01-01

Mathematical models capable of simulating the transient, steady state, and faulted performance characteristics of various brushless dc machine-PSA (power switching assembly) configurations were developed. These systems are intended for possible future use as primemovers in EMAs (electromechanical actuators) for flight control applications. These machine-PSA configurations include wye, delta, and open-delta connected systems. The research performed under this contract was initially broken down into the following six tasks: development of mathematical models for various machine-PSA configurations; experimental validation of the model for failure modes; experimental validation of the mathematical model for shorted turn-failure modes; tradeoff study; and documentation of results and methodology.

Preparing the “New” Biologist of the Future: Student Research at the Interface of Mathematics and Biology

PubMed Central

Bishop, Pamela; Lenhart, Suzanne

2010-01-01

We describe a unique Research Experience for Undergraduates and Research Experience for Veterinary students summer program at the National Institute for Mathematical and Biological Synthesis on the campus of the University of Tennessee, Knoxville. The program focused on interdisciplinary research at the interface of biology and mathematics. Participants were selected to work on projects with a biology mentor and a mathematics mentor in an environment that promoted collaboration outside of the students' respective disciplines. There were four research projects with teams of four participants and two faculty mentors. The participants consisted of a mixture of 10 undergraduates in biology- and mathematics-related disciplines, four veterinary students, and two high-school teachers. The activities included lectures on both the biological and mathematical backgrounds of the projects, tutorials for software, and sessions on ethics, graduate school, and possible career paths for individuals interested in biology and mathematics. The program was designed to give students the ability to actively participate in the scientific research process by working on a project, writing up their results in a final report, and presenting their work orally. We report on the results of our evaluation surveys of the participants. PMID:20810963

Preparing the "new" biologist of the future: student research at the interface of mathematics and biology.

PubMed

Duncan, Sarah I; Bishop, Pamela; Lenhart, Suzanne

2010-01-01

We describe a unique Research Experience for Undergraduates and Research Experience for Veterinary students summer program at the National Institute for Mathematical and Biological Synthesis on the campus of the University of Tennessee, Knoxville. The program focused on interdisciplinary research at the interface of biology and mathematics. Participants were selected to work on projects with a biology mentor and a mathematics mentor in an environment that promoted collaboration outside of the students' respective disciplines. There were four research projects with teams of four participants and two faculty mentors. The participants consisted of a mixture of 10 undergraduates in biology- and mathematics-related disciplines, four veterinary students, and two high-school teachers. The activities included lectures on both the biological and mathematical backgrounds of the projects, tutorials for software, and sessions on ethics, graduate school, and possible career paths for individuals interested in biology and mathematics. The program was designed to give students the ability to actively participate in the scientific research process by working on a project, writing up their results in a final report, and presenting their work orally. We report on the results of our evaluation surveys of the participants.

Enhancing Core Mathematics Courses

ERIC Educational Resources Information Center

Billings, Esther; Schlicker, Steven; Novotny, Karen; Tefera, Akalu

2004-01-01

The Departments of Mathematics and Statistics at Grand Valley State University are engaged in a project to address the mathematical preparation of all its majors, including prospective elementary and secondary mathematics teachers. In this article, we describe how the mathematics and mathematics education faculty in our mathematics department…

Projects Using a Computer Algebra System in First-Year Undergraduate Mathematics

ERIC Educational Resources Information Center

Rosenzweig, Martin

2007-01-01

This paper illustrates the use of computer-based projects in two one-semester first-year undergraduate mathematics classes. Developed over a period of years, the approach is one in which the classes are organised into work-groups, with computer-based projects being undertaken periodically to illustrate the class material. These projects are…

What is the problem in problem-based learning in higher education mathematics

NASA Astrophysics Data System (ADS)

Dahl, Bettina

2018-01-01

Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge where the application in society is not always obvious. Does mathematics, including pure mathematics, fit into a PBL curriculum? This paper argues that it does for two reasons: (1) PBL resembles the working methods of research mathematicians. (2) The concept of society includes the society of researchers to whom theoretical mathematics is relevant. The paper describes two cases of university PBL projects in mathematics; one in pure mathematics and the other in applied mathematics. The paper also discusses that future engineers need to understand the world of mathematics as well as how engineers fit into a process of fundamental-research-turned-into-applied-science.

The influence of Missouri mathematics project on seventh grade students’ mathematical understanding ability

NASA Astrophysics Data System (ADS)

Rezeki, S.; Setyawan, A. A.; Amelia, S.

2018-01-01

Mathematical understanding ability is a primary goal of Indonesian national education goals. However, various sources has shown that Indonesian students’ mathematical understanding ability is still relatively low. This study used quasi-experimental research design to examine the effectiveness of the application of Missouri Mathematics Project (MMP) on students’ mathematical understanding ability. The participants of the study were seventh grade students in Pekanbaru, Riau Province, Indonesia. They were selected purposively and represented as high, medium, and low-quality schools. The result of this study indicated that there was a significant effect of MMP on the overall students’ mathematical understanding ability and in all categories, except for low school level.

Project-Based Learning Environments: Challenging Preservice Teachers to Act in the Moment

ERIC Educational Resources Information Center

Wilhelm, Jennifer; Sherrod, Sonya; Walters, Kendra

2008-01-01

In this design study, the authors documented means by which preservice teachers experienced mathematics and science associated with understanding the Moon and sky as they participated in project work within their mathematics and science methods course. The authors examined the way preservice teachers applied mathematics needed to accomplish…

The Essential Role of Curricular Analyses in Comparative Studies of Mathematics Achievement: Developing "Fair" Tests

ERIC Educational Resources Information Center

Chavez, Oscar; Papick, Ira; Ross, Dan J.; Grouws, Douglas A.

2010-01-01

The purpose of this paper was to describe the process of development of assessment instruments for the Comparing Options in Secondary Mathematics: Investigating Curriculum (COSMIC) project. The COSMIC project was a three-year longitudinal comparative study focusing on evaluating high school students' mathematics learning from two distinct…

Teacher Leaders for Mathematics Success (TL=MS). Final Evaluation Report

ERIC Educational Resources Information Center

Fancsali, Cheri

2004-01-01

Teacher Leaders for Mathematics Success (TL=MS) is a five-year project designed to build the capacity of Bronx teachers and schools in supporting continued improvement in mathematics education for all students in a standards-based environment. The project, implemented by the Institute for Literacy Studies at Lehman College and funded by the…

A Snowflake Project: Calculating, Analyzing, and Optimizing with the Koch Snowflake.

ERIC Educational Resources Information Center

Bolte, Linda A.

2002-01-01

Presents a project that addresses several components of the Algebra and Communication Standards for Grades 9-12 presented in Principles and Standards for School Mathematics (NCTM, 2000). Describes doing mathematical modeling and using the language of mathematics to express a recursive relationship in the perimeter and area of the Koch snowflake.…

Mathematics Teachers' Take-Aways from Morning Math Problems in a Long-Term Professional Development Project

ERIC Educational Resources Information Center

Sevis, Serife; Cross, Dionne; Hudson, Rick

2017-01-01

Considering the role of mathematics-focused professional development programs in improving teachers' content knowledge and quality of teaching, we provided teachers opportunities for dealing with mathematics problems and positioning themselves as students in a large-scale long-term professional development (PD) project. In this proposal, we aimed…

Moving beyond the Barriers: Supporting Meaningful Teacher Collaboration to Improve Secondary School Mathematics

ERIC Educational Resources Information Center

Jao, Limin; McDougall, Doug

2016-01-01

The Collaborative Teacher Inquiry Project was a professional development initiative that sought to improve the teaching and learning of Grade 9 Applied mathematics by encouraging teachers to work collaboratively. The project brought together Grade 9 Applied mathematics teachers from 11 schools across four neighboring public school boards in the…

Demonstration Lessons in Mathematics Education: Teachers' Observation Foci and Intended Changes in Practice

ERIC Educational Resources Information Center

Clarke, Doug; Roche, Anne; Wilkie, Karina; Wright, Vince; Brown, Jill; Downton, Ann; Horne, Marj; Knight, Rose; McDonough, Andrea; Sexton, Matthew; Worrall, Chris

2013-01-01

As part of a teacher professional learning project in mathematics education, university mathematics educators taught demonstration lessons in project primary schools. These lessons were part of a "pre-brief, teaching, and debrief" process, in which up to eight teachers observed each lesson. Using brief questionnaires completed in advance of the…

Projects To Enrich School Mathematics. Level 3.

ERIC Educational Resources Information Center

Sachs, Leroy, Ed.

This is a series of research projects that can be used for enrichment of the high school mathematics curriculum. It is suggested that the topics are either not found in the standard curriculum or represent a more indepth study of standard topics. The areas considered are: applications of the microcomputer in mathematics; the fourth dimension and…

Effects of a Preschool Mathematics Curriculum: Summative Research on the "Building Blocks" Project

ERIC Educational Resources Information Center

Clements, Douglas H.; Sarama, Julie

2007-01-01

This study evaluated the efficacy of a preschool mathematics program based on a comprehensive model of developing research-based software and print curricula. Building Blocks, funded by the National Science Foundation, is a curriculum development project focused on creating research-based, technology-enhanced mathematics materials for pre-K…

The Effects of Project-and Activity-Supported Practices on Mathematics Education Achievement and Student Views

ERIC Educational Resources Information Center

Tertemiz, Nese

2012-01-01

Problem Statement: Preservice teachers acquire the knowledge and skills needed for elementary mathematics education by themselves obtaining quality university educations and by being actively involved in mathematics. Thus, it is essential to make room in teacher education for student-centered projects and activities. Purpose of Study: This study…

The effect of Missouri mathematics project learning model on students’ mathematical problem solving ability

NASA Astrophysics Data System (ADS)

Handayani, I.; Januar, R. L.; Purwanto, S. E.

2018-01-01

This research aims to know the influence of Missouri Mathematics Project Learning Model to Mathematical Problem-solving Ability of Students at Junior High School. This research is a quantitative research and uses experimental research method of Quasi Experimental Design. The research population includes all student of grade VII of Junior High School who are enrolled in the even semester of the academic year 2016/2017. The Sample studied are 76 students from experimental and control groups. The sampling technique being used is cluster sampling method. The instrument is consisted of 7 essay questions whose validity, reliability, difficulty level and discriminating power have been tested. Before analyzing the data by using t-test, the data has fulfilled the requirement for normality and homogeneity. The result of data shows that there is the influence of Missouri mathematics project learning model to mathematical problem-solving ability of students at junior high school with medium effect.

Building Connections between Sociomathematical Norms and Cognitive Demand to Improve the Quality of Whole Class Mathematics Conversations

ERIC Educational Resources Information Center

Williams, Lori

2010-01-01

Mathematical discussions support and promote student learning as an integral part of the contexts in which students learn mathematics. Yet, American school practices often focus on teachers disseminating knowledge to students and students acquiring that knowledge through rote rehearsal rather than higher order thinking. One barrier to change in…

Language and Mathematical Performance: A Comparison of Lower Secondary School Students with Different Level of Mathematical Skills

ERIC Educational Resources Information Center

Korhonen, Johan; Linnanmaki, Karin; Aunio, Pirjo

2012-01-01

This study investigated the connection between language (i.e., word comprehension, reading comprehension and spelling skills) and mathematical performance. The sample consisted of grade nine students (N = 810) in 14 lower secondary schools in the Swedish speaking areas of Finland. Standardized tests for reading and writing skills, and mathematical…

Telling Mathematical Stories with Live Editing

ERIC Educational Resources Information Center

Thomson, Ian

2017-01-01

Using "live editing" it is possible to write code that can be run a section at a time. This makes it easier to spot and correct errors. It can also be used to create an interactive mathematical story. This brief article shows how MATLAB software can be used to take the user on a mathematical journey with historical connections.

STEM(ming) from Where? A Philosophical Analysis of U.S. Mathematics Education Policies

ERIC Educational Resources Information Center

Chesky, Nataly Z.

2013-01-01

Much attention has been placed on mathematics education in U.S. education policy reform discourses. Most recently, the emphasis has been on connecting mathematics with science, technology, and engineering, termed The STEM Initiative. Although a great deal of research has been conducted to understand how to meet the objectives of STEM, studies are…

Enhancing Student Engagement to Positively Impact Mathematics Anxiety, Confidence and Achievement for Interdisciplinary Science Subjects

ERIC Educational Resources Information Center

Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.

2017-01-01

Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to…

Characterizing the Development of Specialized Mathematical Content Knowledge for Teaching in Algebraic Reasoning and Number Theory

ERIC Educational Resources Information Center

Bair, Sherry L.; Rich, Beverly S.

2011-01-01

This article characterizes the development of a deep and connected body of mathematical knowledge categorized by Ball and Bass' (2003b) model of Mathematical Knowledge for Teaching (MKT), as Specialized Content Knowledge for Teaching (SCK) in algebraic reasoning and number sense. The research employed multiple cases across three years from two…

Connecting Teacher Beliefs to the Use of Children's Literature in the Teaching of Mathematics

ERIC Educational Resources Information Center

Cotti, Rainy; Schiro, Michael

2004-01-01

This article presents examples that illustrate how teachers use children's literature in the teaching of mathematics. The examples are related to four curriculum ideologies that have influenced mathematics education in the USA for the last 75 years. It discusses why it is relevant to help teachers understand the ideological positions that…

Connecting the Numbers in the Primary Grades Using an Interactive Tool

ERIC Educational Resources Information Center

Su, Hui Fang Huang; Marinas, Carol; Furner, Joseph M.

2010-01-01

Children are often intrigued by number patterns and games and so it makes sense for teachers to include them in their mathematics lessons. Puzzles encourage the use of critical thinking skills and provide practice in important skills areas. The use of games fosters mathematical learning and encourages the mathematical processes that children use.…

Exploring the Relationship between Music Learning and Mathematics Learning in an Interdisciplinary Pre-K Curriculum

ERIC Educational Resources Information Center

McDonel, Jennifer S.

2013-01-01

The purpose of this study was to examine children's musical and mathematical behaviors as they participated in an interdisciplinary pre-K curriculum. Research questions were: 1. What connections--if any--do young children make between music learning and mathematics learning? 2. Is there a relationship between young children's emergent rhythm…

Mindset Mathematics: Visualizing and Investigating Big Ideas, Grade 4

ERIC Educational Resources Information Center

Boaler, Jo; Munson, Jen; Williams, Cathy

2017-01-01

The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and…

Looking Back, Looking Forward: The Past 15 Years of Mathematics Education in "CJSTME"

ERIC Educational Resources Information Center

Hare, Andrew; Ng, Oi-Lam

2015-01-01

In this article, we review the publications served by the "Canadian Journal of Science, Mathematics and Technology Education" in the past 15 years, specific to the field of mathematics education, and make connections with development of the field. In particular, we adopt current Editor-in-Chief John Wallace's (2009) approach of…

[Mathematic analysis of risk factors influence on occupational respiratory diseases development].

PubMed

Budkar', L N; Bugaeva, I V; Obukhova, T Iu; Tereshina, L G; Karpova, E A; Shmonina, O G

2010-01-01

Analysis covered 1348 case histories of workers exposed to industrial dust in Urals region. The analysis applied mathematical processing of survival theory and correlation analysis. The authors studied influence of various factors: dust concentration, connective tissue dysplasia, smoking habits--on duration for diseases caused by dust to appear. Findings are that occupational diseases develop reliably faster with higher ambient dust concentrations and with connective tissue dysplasia syndrome. Smoking habits do not alter duration of pneumoconiosis development, but reliably increases development of occupational dust bronchitis.

Nurturing Young Student Mathematicians

ERIC Educational Resources Information Center

Gavin, M. Katherine; Casa, Tutita M.

2013-01-01

Developing mathematical talent in our students should be of primary consideration in education today as nations respond to the challenges of economic crises and ever-changing technological advances. This paper describes two U.S. federally funded curriculum projects, Project M[superscript 3], Mentoring Mathematical Minds, and Project M[superscript…

On the Use of Client-Driven Projects in the Mathematics Classroom

ERIC Educational Resources Information Center

Maki, Dan; Winston, Wayne; Shafii-Mousavi, Morteza; Kochanowski, Paul; Lang, Chris; Ernstberger, Kathy; Hodgson, Ted

2006-01-01

In this article, we discuss the use of client-driven projects--projects that are posed by business, government, and non-profit organizations and based upon real problems facing the organization. Although client-driven projects have long been used in business and engineering education, their use in the mathematics classroom is rare. Client-driven…

Teaching Discrete Mathematics Entirely from Primary Historical Sources

ERIC Educational Resources Information Center

Barnett, Janet Heine; Bezhanishvili, Guram; Lodder, Jerry; Pengelley, David

2016-01-01

We describe teaching an introductory discrete mathematics course entirely from student projects based on primary historical sources. We present case studies of four projects that cover the content of a one-semester course, and mention various other courses that we have taught with primary source projects.

An Alignment Analysis of Washington State's College Readiness Mathematics Standards with Various Local Placement Tests

ERIC Educational Resources Information Center

Achieve, Inc., 2006

2006-01-01

For the past two years, Achieve, Inc. has worked with the Transition Mathematics Project (TMP), a collaborative project of K-12 schools, community and technical colleges, and baccalaureate institutions within the state of Washington, as it developed mathematics standards that "define the core knowledge and skills expected of students entering…

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…

Learning without Boundaries: Developing Mobile Learning Scenarios for Elementary and Middle School Language Arts & Mathematics

ERIC Educational Resources Information Center

Evans, Michael A.; Gracanin, Denis

2009-01-01

This article provides an overview to a collaborative knowledge building project using iPod Touches in elementary and secondary language arts and mathematics classrooms, working with 4 teachers and over 80 students. The interactive technologies for embodied Learning in Reading and Mathematics (iteL*RM) project intends to facilitate student…

Mathematics: Report of the Project 2061 Phase I Mathematics Panel.

ERIC Educational Resources Information Center

Blackwell, David; Henkin, Leon

This is one of five panel reports that have been prepared as part of the first phase of Project 2061, a long-term multipurpose undertaking of the American Association for the Advancement of Science designed to help reform science, mathematics, and technology education in the United States. Major sections included are: (1) "Introduction";…

Can Instructional Reform in Urban Middle Schools Help Students Narrow the Mathematics Performance Gap? Some Evidence from the QUASAR Project.

ERIC Educational Resources Information Center

Silver, Edward A.; Lane, Suzanne

1995-01-01

Compared mathematical performance of middle school students in low-income communities involved in the QUASAR project to those of a demographically similar school and of a nationally representative sample. QUASAR mathematics instruction emphasizes reasoning, problem-solving, and understanding. Quasar students outperformed NAEP's disadvantaged urban…

An Examination of the Performance Gains of Culturally and Linguistically Diverse Students on a Mathematics Performance Assessment within the QUASAR Project.

ERIC Educational Resources Information Center

Lane, Suzanne; And Others

The performance of students from different racial or ethnic subgroups and of students receiving bilingual (Spanish and English) or monolingual (English only) instruction in mathematics was studied using students from schools in the QUASAR (Qualitative Understanding Amplifying Student Achievement and Reasoning) project, a mathematics education…

Collective Research Projects in the History of Mathematics Classroom

ERIC Educational Resources Information Center

Despeaux, Sloan Evans

2014-01-01

In this article, I will discuss a collective research project that I designed for my History of Mathematics course. My students, who are by and large pre-service teachers, explored online, digital versions of 18th-century British almanacs that contained question-and-answer sections for mathematics. In a multi-stage research process, they explored…

Explaining the Mathematical Creativity of a Young Boy: An Interdisciplinary Venture between Mathematics Education and Psychoanalysis

ERIC Educational Resources Information Center

Krummheuer, Götz; Leuzinger-Bohleber, Marianne; Müller-Kirchof, Marion; Münz, Melanie; Vogel, Rose

2013-01-01

First results of the project "Mathematical Creativity of Children at Risk" (MaKreKi) will be presented. The project is conducted in the interdisciplinary research center "Individual Development and Adaptive Education of Children at Risk" (IDeA [http://www.idea-frankfurt.eu; accessed 7 June 2013]). Combining a…

Connecting Physics Bachelors to Their Dream Jobs

NASA Astrophysics Data System (ADS)

Bhattacharya, Shouvik

2013-01-01

People who earn bachelor’s degrees in physics are highly employable. Employers value the skills that physics bachelor’s recipients acquire and develop over their four years of a college education, such as complex problem solving, advanced mathematics, teamwork and programming. The Career Pathways Project of the American Institute of Physics (AIP) aims to better prepare physics undergraduates for the science, technology, engineering, and math (STEM) workforce. This presentation will include a discussion of common features among departments visited by the AIP’s Career Pathways team, ideas for a career workshop for physics undergraduates, and advice on how to make the most out of a job fair and how to start effective online professional networking.

Mathematical simulation of thermocouple characteristics

NASA Astrophysics Data System (ADS)

Abouellail, A. A.; Kostina, M. A.; Bortalevich, S. I.; Loginov, E. L.; Shinyakov, Y. A.; Sukhorukov, M. P.

2018-03-01

Within this article, the investigation of the electrical characteristics of two thermocouples in parallel connection was mathematically simulated for further research of the effect of multi-point contact between the sensing thermocouple electrodes and the inspected sample in thermoelectric inspection devices.

Latino/a and Black Students and Mathematics. The Students at the Center Series

ERIC Educational Resources Information Center

Gutierrez, Rochelle; Irving, Sonya E.

2012-01-01

Using new perspectives on mathematics as a cultural and social activity and new research on learning outside the school, the authors ask readers to rethink the problem of mathematical achievement for all students, and for Latino/a and black students in particular. The paper argues that doing so will help those students connect how they learn in…

Exploring Connections between Content Knowledge, Pedagogical Content Knowledge, and the Opportunities to Learn Mathematics: Findings from the TEDS-M Dataset

ERIC Educational Resources Information Center

Murray, Eileen; Durkin, Kelley; Chao, Theodore; Star, Jon R.; Vig, Rozy

2018-01-01

Past work on mathematics teachers' content knowledge (CK) and pedagogical content knowledge (PCK) has resulted in mixed findings about the strength of the relationship between and development of these constructs. The current study uses data from the Teacher Education and Development Study in Mathematics (TEDS-M) to examine the relationship between…

Various Solution Methods, Accompanied by Dynamic Investigation, for the Same Problem as a Means for Enriching the Mathematical Toolbox

ERIC Educational Resources Information Center

Oxman, Victor; Stupel, Moshe

2018-01-01

A geometrical task is presented with multiple solutions using different methods, in order to show the connection between various branches of mathematics and to highlight the importance of providing the students with an extensive 'mathematical toolbox'. Investigation of the property that appears in the task was carried out using a computerized tool.

The Transition from Informal to Formal Mathematical Knowledge: Mediation by Numeral Knowledge

ERIC Educational Resources Information Center

Purpura, David J.; Baroody, Arthur J.; Lonigan, Christopher J.

2013-01-01

The purpose of the present study was to determine if numeral knowledge--the ability to identify Arabic numerals and connect Arabic numerals to their respective quantities--mediates the relation between informal and formal mathematical knowledge. A total of 206 3- to 5-year-old preschool children were assessed on 6 informal mathematics tasks and 2…

Various solution methods, accompanied by dynamic investigation, for the same problem as a means for enriching the mathematical toolbox

NASA Astrophysics Data System (ADS)

Oxman, Victor; Stupel, Moshe

2018-04-01

A geometrical task is presented with multiple solutions using different methods, in order to show the connection between various branches of mathematics and to highlight the importance of providing the students with an extensive 'mathematical toolbox'. Investigation of the property that appears in the task was carried out using a computerized tool.

Multiscale modeling of brain dynamics: from single neurons and networks to mathematical tools.

PubMed

Siettos, Constantinos; Starke, Jens

2016-09-01

The extreme complexity of the brain naturally requires mathematical modeling approaches on a large variety of scales; the spectrum ranges from single neuron dynamics over the behavior of groups of neurons to neuronal network activity. Thus, the connection between the microscopic scale (single neuron activity) to macroscopic behavior (emergent behavior of the collective dynamics) and vice versa is a key to understand the brain in its complexity. In this work, we attempt a review of a wide range of approaches, ranging from the modeling of single neuron dynamics to machine learning. The models include biophysical as well as data-driven phenomenological models. The discussed models include Hodgkin-Huxley, FitzHugh-Nagumo, coupled oscillators (Kuramoto oscillators, Rössler oscillators, and the Hindmarsh-Rose neuron), Integrate and Fire, networks of neurons, and neural field equations. In addition to the mathematical models, important mathematical methods in multiscale modeling and reconstruction of the causal connectivity are sketched. The methods include linear and nonlinear tools from statistics, data analysis, and time series analysis up to differential equations, dynamical systems, and bifurcation theory, including Granger causal connectivity analysis, phase synchronization connectivity analysis, principal component analysis (PCA), independent component analysis (ICA), and manifold learning algorithms such as ISOMAP, and diffusion maps and equation-free techniques. WIREs Syst Biol Med 2016, 8:438-458. doi: 10.1002/wsbm.1348 For further resources related to this article, please visit the WIREs website. © 2016 Wiley Periodicals, Inc.

Project CHAMP, 1985-1986. OEA Evaluation Report.

ERIC Educational Resources Information Center

New York City Board of Education, Brooklyn. Office of Educational Assessment.

The Chinese Achievement and Mastery program, Project CHAMP, was a bilingual (Chinese/English) project offered at three high schools in Manhattan. The major goals were to enable Chinese students of limited English proficiency (LEP) to learn English and to master content in mathematics, science, global history, computer mathematics, and native…

Smooth Transition for Advancement to Graduate Education (STAGE) for Underrepresented Groups in the Mathematical Sciences Pilot Project: Broadening Participation through Mentoring

ERIC Educational Resources Information Center

Eubanks-Turner, Christina; Beaulieu, Patricia; Pal, Nabendu

2018-01-01

The Smooth Transition for Advancement to Graduate Education (STAGE) project was a three-year pilot project designed to mentor undergraduate students primarily from under-represented groups in the mathematical sciences. The STAGE pilot project focused on mentoring students as they transitioned from undergraduate education to either graduate school…

Storytelling Adds Meaning

ERIC Educational Resources Information Center

Selby, Victor M.

2009-01-01

This article describes several enrichment activities that connect mathematics to science in an algebra 1 curriculum. It provides a basis and suggestions for teachers to include student-produced essays about the role of mathematics in the history of civilization. (Contains 6 figures and 1 table.)

What Mathematical Competencies Are Needed for Success in College.

ERIC Educational Resources Information Center

Garofalo, Joe

1990-01-01

Identifies requisite math skills for a microeconomics course, offering samples of supply curves, demand curves, equilibrium prices, elasticity, and complex graph problems. Recommends developmental mathematics competencies, including problem solving, reasoning, connections, communication, number and operation sense, algebra, relationships,…

The Effects of Project-Based Learning Activities on Academic Achievement and Motivation in Mathematics in Eighth-Grade Students

ERIC Educational Resources Information Center

Mudrich, Rachel Marie

2017-01-01

The purpose of this research study was to determine if project-based learning activities (PBLA) incorporated into an eighth-grade mathematics classroom have an effect on students' academic achievement and motivation toward learning. The control group used the traditional instruction method to cover mathematic objective skills that are Common Core…

1986 Annual Report to the Ford Foundation: The Urban Mathematics Collaborative Project. Program Report 87-4.

ERIC Educational Resources Information Center

Romberg, Thomas A.; And Others

In 1984, the Ford Foundation initiated the Urban Mathematics Collaborative (UMC) project to contribute to the improvement of mathematics education in inner-city schools, and more generally, to enhance the professional life of teachers. By 1986, the Ford Foundation had funded collaboratives in 11 urban areas. This document describes the overall UMC…

The Urban Mathematics Collaborative Project: Report to the Ford Foundation on the 1986-87 School Year. Program Report 88-1.

ERIC Educational Resources Information Center

Webb, Norman L.; And Others

In 1984 the Urban Mathematics Collaborative (UMC) project was initiated to improve mathematics education in inner-city schools and to identify new models for meeting the ongoing professional needs of teachers. UMCs are located in Cleveland, Minneapolis-St. Paul, Los Angeles, Philadelphia, San Francisco, Durham, Pittsburgh, San Diego, St. Louis,…

Experiencing teaching and learning quantitative reasoning in a project-based context

NASA Astrophysics Data System (ADS)

Muir, Tracey; Beswick, Kim; Callingham, Rosemary; Jade, Katara

2016-12-01

This paper presents the findings of a small-scale study that investigated the issues and challenges of teaching and learning about quantitative reasoning (QR) within a project-based learning (PjBL) context. Students and teachers were surveyed and interviewed about their experiences of learning and teaching QR in that context in contrast to teaching and learning mathematics in more traditional settings. The grade 9-12 student participants were characterised by a history of disengagement with mathematics and school in general, and the teacher participants were non-mathematics specialist teachers. Both students and teachers were new to the PjBL situation, which resulted in the teaching/learning relationship being a reciprocal one. The findings indicated that students and teachers viewed QR positively, particularly when compared with traditional mathematics teaching, yet tensions were identified for aspects such as implementation of curriculum and integration of relevant mathematics into projects. Both sets of participants identified situations where learning QR was particularly successful, along with concerns or difficulties about integrating QR into project work. The findings have implications for educators, who may need to examine their own approaches to mathematics teaching, particularly in terms of facilitating student engagement with the subject.

Noyce SWARMS Scholars and Two Professional Development Models (LASSI and RAMPED): Summer 2015, 2016, and 2017

NASA Astrophysics Data System (ADS)

Burrows, Andrea C.; Myers, Adam D.; Borowczak, Mike

2018-06-01

This poster showcases an astronomy professional development (PD) for 41 K-12 teachers. The project was entitled Launching Astronomy Standards and STEM Integration (LASSI). A project description (activities in the 18 months - Summer 2015 and 2016) for the astronomy, authentic science, and pre-service teacher opportunities is included. The PD team utilized real-world problems, participant-generated questions, science instruments, technology, evidence, communication, dissemination, and collaboration in the LASSI PD model. Computer science was a feature of the PD and the K-12 teacher participants showcased various methods of its use. Embracing an engineering process with an authentic astronomy PD allowed participants to make connections to current topics and create shareable projects. The PD team highlights teacher work from LASSI entitled - A Model for Determining Size of Objects in an Artificial Solar System. The Sustaining Wyoming's Advancing Reach in Mathematics and Science (SWARMS) Scholars (NSF Noyce funded) interacted with and used the materials from the LASSI PD. The poster highlights PD use from the LASSI participants and SWARMS Scholars as well as explains lessons learned to date as a follow-up PD Robotics, Applied Mathematics, Physics, and Engineering Design (RAMPED) was implemented in Summer 2017 and carried methods from LASSI. The LASSI and RAMPED PD teams included faculty from the College of Education, College of Engineering and Applied Science, College of Arts and Sciences, graduate students, and the teachers themselves. The PD teams created a website with these and other PD materials - UWpd.org - for others to view and change to meet their needs.

Early Math Achievement and Functional Connectivity in the Fronto-Parietal Network

PubMed Central

Emerson, Robert W.; Cantlon, Jessica F.

2011-01-01

In this study we test the hypothesis that the functional connectivity of the frontal and parietal regions that children recruit during a basic numerical task (matching Arabic numerals to arrays of dots) is predictive of their math test scores (TEMA-3; Ginsburg 2003). Specifically, we tested 4- to 11-year-old children on a matching task during fMRI to localize a fronto-parietal network that responds more strongly during numerical matching than matching faces, words, or shapes. We then tested the functional connectivity between those regions during an independent task: natural viewing of an educational video that included math topics. Using this novel natural viewing method, we found that the connectivity between frontal and parietal regions during task-independent free-viewing of educational material is correlated with children's basic number matching ability, as well as their scores on the standardized test of mathematical ability (the TEMA). The correlation between children's mathematics scores and fronto-parietal connectivity is math-specific in the sense that it is independent of children's verbal IQ scores. Moreover, a control network, selective for faces, showed no correlation with mathematics performance. Finally, brain regions that correlate with subjects’ overall response times in the matching task do not account for our number- and math-related effects. We suggest that the functional intersection of number-related frontal and parietal regions is math-specific. PMID:22682903

Nonrandom network connectivity comes in pairs.

PubMed

Hoffmann, Felix Z; Triesch, Jochen

2017-01-01

Overrepresentation of bidirectional connections in local cortical networks has been repeatedly reported and is a focus of the ongoing discussion of nonrandom connectivity. Here we show in a brief mathematical analysis that in a network in which connection probabilities are symmetric in pairs, P ij = P ji , the occurrences of bidirectional connections and nonrandom structures are inherently linked; an overabundance of reciprocally connected pairs emerges necessarily when some pairs of neurons are more likely to be connected than others. Our numerical results imply that such overrepresentation can also be sustained when connection probabilities are only approximately symmetric.

Effectiveness of an Adaptation of the Project Connect Health Systems Intervention: Youth and Clinic-Level Findings.

PubMed

Loosier, Penny S; Doll, Shelli; Lepar, Danielle; Ward, Kristin; Gamble, Ginger; Dittus, Patricia J

2016-08-01

The Project Connect Health Systems Intervention (Project Connect) uses a systematic process of collecting community and healthcare infrastructure information to craft a referral guide highlighting local healthcare providers who provide high quality sexual and reproductive healthcare. Previous self-report data on healthcare usage indicated Project Connect was successful with sexually experienced female youth, where it increased rates of human immunodeficiency virus (HIV) and sexually transmitted disease (STD) testing and receipt of contraception. This adaption of Project Connect examined its effectiveness in a new context and via collection of clinic encounter-level data. Project Connect was implemented in 3 high schools. (only 2 schools remained open throughout the entire project period). Participant recruitment and data collection occurred in 5 of 8 participating health clinics. Students completed Youth Surveys (N = 608) and a Clinic Survey (paired with medical data abstraction in 2 clinics [N = 305]). Students were more likely than nonstudents to report having reached a clinic via Project Connect. Nearly 40% of students attended a Project Connect school, with 32.7% using Project Connect to reach the clinic. Students were most likely to have been referred by a school nurse or coach. Project Connect is a low-cost, sustainable structural intervention with multiple applications within schools, either as a standalone intervention or in combination with ongoing efforts. © 2016, American School Health Association.

Examining Thai high school students' developing STEM projects

NASA Astrophysics Data System (ADS)

Teenoi, Kultida; Siripun, Kulpatsorn; Yuenyong, Chokchai

2018-01-01

Like others, Thailand education strongly focused on STEM education. This paper aimed to examine existing Thai high school students' integrated knowledge about science, technology, engineering, and mathematics (STEM) in their developing science project. The participants included 49 high school students were studying the subject of individual study (IS) in Khon Kaen wittayayon school, Khon Kaen, Thailand. The IS was provided to gradually enhance students to know how to do science project starting from getting start to do science projects, They enrolled to study the individual study of science project for three year in roll. Methodology was qualitative research. Views of students' integrated knowledge about STEM were interpreted through participant observation, interview, and students' science projects. The first author as participant observation has taught this group of students for 3 years. It found that 16 science projects were developed. Views of students' integrated knowledge about STEM could be categorized into three categories. These included (1) completely indicated integration of knowledge about science, technology, engineering, and mathematics, (2) partial indicated integration of knowledge about science, technology, engineering, and mathematics, and (3) no integration. The findings revealed that majority of science projects could be categorized as completely indicated integration of knowledge about science, technology, engineering, and mathematics. The paper suggested some ideas of enhancing students to applying STEM for developing science projects.

Project-Based Teaching: Helping Students Make Project Connections

NASA Astrophysics Data System (ADS)

Johnson, Heather Jo Pusich

Project-based curriculum materials are designed to support students in engaging with scientific content and practices in meaningful ways, with the goal of improving students' science learning. However, students need to understand the connections between what they are doing on a day-to-day basis with respect to the goals of the overall project for students to get the motivational and cognitive benefits of a project-based approach. In this dissertation, I looked at the challenges that four ninth grade science teachers faced as they helped students to make these connections using a project-based environmental science curriculum. The analysis revealed that in general when the curriculum materials made connections explicit, teachers were better able to articulate the relationship between the lesson and the project during enactment. However, whether the connections were explicit or implicit in the materials, enactments of the same lesson across teachers revealed that teachers leveraged different aspects of the project context in different ways depending on their knowledge, beliefs, and goals about project-based teaching. The quantitative analysis of student data indicated that when teacher enactments supported project goals explicitly, students made stronger connections between a lesson and the project goal. Therefore, a teacher's ability to make clear connections during classroom instruction is essential. Furthermore, when students made connections between each lesson and the larger project goals their attitudes toward the lesson were more positive and they performed better on the final assessment. These findings suggest that connections between individual lessons and the goals of the project are critical to the effectiveness of project-based learning. This study highlights that while some teachers were able to forge these connections successfully as a result of leveraging cognitive resources, teachers' beliefs, knowledge and goals about project-based teaching are variable. As such, teachers adopting project-based curriculum materials need more support - through educative curriculum materials, coaching, or ongoing professional development - to help them support project connections consistently and explicitly in their teaching practice.

Secret Message Decryption: Group Consulting Projects Using Matrices and Linear Programming

ERIC Educational Resources Information Center

Gurski, Katharine F.

2009-01-01

We describe two short group projects for finite mathematics students that incorporate matrices and linear programming into fictional consulting requests presented as a letter to the students. The students are required to use mathematics to decrypt secret messages in one project involving matrix multiplication and inversion. The second project…

Math and Science 1967-68, Volume II, Project "Interweave", End of Project Report.

ERIC Educational Resources Information Center

East Maine School District 63, Niles, IL.

This document contains materials given to teachers participating in an inservice program aimed at helping them teach topics in modern mathematics and science. The mathematics portion of the project was a series of 11 television programs introducing the topics of equations, number lines, operations, functions, centimeter blocks, lattices, brackets,…

Mathematics: PROJECT DESIGN. Educational Needs, Fresno, 1968, Number 12.

ERIC Educational Resources Information Center

Smart, James R.

This report examines and summarizes the needs in mathematics of the Fresno City school system. The study is one in a series of needs assessment reports for PROJECT DESIGN, an ESEA Title III project administered by the Fresno City Unified School District. Theoretical concepts, rather than computational drill, would be emphasized in the proposed…

A S[t]imulating Study of Map Projections: An Exploration Integrating Mathematics and Social Studies.

ERIC Educational Resources Information Center

Wilkins, Jesse L. M.; Hicks, David

2001-01-01

Presents a map-projection activity that combines mathematics and geography through investigating the proportion of land and water that covers the earth. Focuses on helping students become familiar with characteristics of different projections or representations of the world while estimating and graphing and encouraging them to investigate the…

Generalizability of New Standards Project, 1993 Pilot Study Tasks in Mathematics. Technical Issues in Procedures To Link State Results to a Common National Standard. Project 2.4 Quantitative Models To Monitor the Status and Progress of Learning and Performance and Their Antecedents.

ERIC Educational Resources Information Center

Linn, Robert L.

The New Standards Project conducted a pilot test of a series of performance-based assessment tasks in mathematics and English language arts at Grades 4 and 8 in the spring of 1993. This paper reports the results of a series of generalizability analyses conducted for a subset of the 1993 pilot study data in mathematics. Generalizability analyses…

The T-TEL Method for Assessing Water, Sediment, and Chemical Connectivity

NASA Astrophysics Data System (ADS)

Ali, Genevieve; Oswald, Claire; Spence, Christopher; Wellen, Christopher

2018-02-01

The concept of connectivity has been the subject of a great deal of recent research and provided new insights and breakthroughs on runoff generation processes and watershed biogeochemistry. However, a consensus definition and cohesive mathematical framework that would permit the consistent quantification of hydrologic connectivity, the examination of the interrelationships between water and material (e.g., sediment and chemicals) connectivity, or rigorous study intercomparison, have not been presented by the water resource community. Building on previous conceptualizations and site-specific or process-specific metrics, this paper aimed to review the current state of science on hydrologic connectivity and its role in water-mediated connectivity of material such as solutes and sediment before introducing a conceptual and a mathematical connectivity assessment framework. These frameworks rely on the quantification of Time scales, Thresholds, Excesses and Losses related to water and water-mediated material transport dynamics and are referred to as the T-TEL method. Through a small case study, we show how the T-TEL method allows a wide range of properties to be quantified, namely the occurrence, frequency, duration, magnitude, and spatial extent of water and water-mediated material connectivity. We also propose a research agenda to refine the T-TEL method and ensure its usefulness for facilitating the research and management of connectivity in pristine and human-impacted landscapes.

Student Connections between Algebraic and Graphical Polynomial Representations in the Context of a Polynomial Relation

ERIC Educational Resources Information Center

Adu-Gyamfi, Kwaku; Bossé, Michael J.; Chandler, Kayla

2017-01-01

When establishing connections among representations of associated mathematical concepts, students encounter different difficulties and successes along the way. The purpose of this study was to uncover information about and gain greater insight into how student processes connections. Pre-calculus students were observed and interviewed while…

Coding Teaching for Simultaneity and Connections: Examining Teachers' Part-Whole Additive Relations Instruction

ERIC Educational Resources Information Center

Ekdahl, Anna-Lena; Venkat, Hamsa; Runesson, Ulla

2016-01-01

In this article, we present a coding framework based on simultaneity and connections. The coding focuses on microlevel attention to three aspects of simultaneity and connections: between representations, within examples, and between examples. Criteria for coding that we viewed as mathematically important within part-whole additive relations…

Pascal's Triangle.

ERIC Educational Resources Information Center

Barton, Patricia Shea

2003-01-01

Notes that Montessori classrooms provide children with the opportunity to explore and discover mathematics. Describes the introduction to Pascal's Triangle as a suggested opportunity to connect young children to deep mathematical truths. Provides teachers with materials requirements, and notes ideas on what can be acquired from the problem, the…

Verbal Counting in Bilingual Contexts

ERIC Educational Resources Information Center

Donevska-Todorova, Ana

2015-01-01

Informal experiences in mathematics often include playful competitions among young children in counting numbers in as many as possible different languages. Can these enjoyable experiences result with excellence in the formal processes of education? This article discusses connections between mathematical achievements and natural languages within…

Learning To Teach: Constructing Meaningful Understanding of Mathematical Content. Craft Paper 89-3.

ERIC Educational Resources Information Center

Lappan, Glenda; Even, Ruhama

This paper discusses the development of the mathematical experiences which make up the three-term sequence of mathematics courses taken by participants in the Elementary Mathematics Project (EMP), a longitudinal study of change in preservice teachers' perceptions and beliefs about mathematics. For the mathematics courses, both content and teaching…

An Intervention for Early Mathematical Success: Outcomes from the Hybrid Version of the Building Math Readiness Parents as Partners (MRPP) Project

ERIC Educational Resources Information Center

Kritzer, Karen L.; Pagliaro, Claudia M.

2013-01-01

The Building Math Readiness in Young Deaf/Hard-of-Hearing Children: Parents as Partners (MRPP) Project works with parents to increase the understanding of foundational mathematics concepts in their preschool deaf/hard-of-hearing (d/hh) children in preparation for formal mathematics education. A multiple-case/single-unit case study incorporating…

The Effect of Project Based Learning in "Ratio, Proportion and Percentage" Unit on Mathematics Success and Attitude

ERIC Educational Resources Information Center

Özdemir, Ahmet Sükrü; Yildiz, Filiz; Yildiz, Sevda Göktepe

2015-01-01

In this paper, our aim is to examine the effect of project based learning on 7th grade students' mathematical success in "Ratio, Proportion and Percentage" unit and attitudes towards mathematics. This study was implemented with 70 7th grade students of Atatürk Primary School in Eminönü District in Istanbul. Before starting the…

The TIMSS Videotape Classroom Study: Methods and Findings from an Exploratory Research Project on Eighth-Grade Mathematics Instruction in Germany, Japan, and the United States.

ERIC Educational Resources Information Center

Stigler, James W.; Gonzales, Patrick; Kawanaka, Takako; Knoll, Steffen; Serrano, Ana

1999-01-01

Describes the methods and preliminary findings of the Videotape Classroom Study, a video survey of eighth-grade mathematics lessons in Germany, Japan, and the United States. Part of the Third International Mathematics and Science study, this research project is the first study of videotaped records from national probability samples. (SLD)

A model of professional competences in mathematics to update mathematical and didactic knowledge of teachers

NASA Astrophysics Data System (ADS)

Díaz, Verónica; Poblete, Alvaro

2017-07-01

This paper describes part of a research and development project carried out in public elementary schools. Its objective was to update the mathematical and didactic knowledge of teachers in two consecutive levels in urban and rural public schools of Region de Los Lagos and Region de Los Rios of southern Chile. To that effect, and by means of an advanced training project based on a professional competences model, didactic interventions based on types of problems and types of mathematical competences with analysis of contents and learning assessment were designed. The teachers' competence regarding the didactic strategy used and its results, as well as the students' learning achievements are specified. The project made possible to validate a strategy of lifelong improvement in mathematics, based on the professional competences of teachers and their didactic transposition in the classroom, as an alternative to consolidate learning in areas considered vulnerable in two regions of the country.

Scientists and K-12: Experience from The Science House

NASA Astrophysics Data System (ADS)

Haase, David G.

2003-03-01

In working with K-12 science and mathematics education, scientists may take on many different roles - from presenter to full-time partner. These roles are illustrated in the activities of The Science House, a K-12 education program of North Carolina State University, (www.science-house.org) which partners with teachers and students across the state to promote inquiry-based learning in mathematics and science. While it is important to involve scientists in K-12, most universities do not have effective means to make the connections. In our efforts to do so, which began with a few teacher workshops and now encompasses six offices across NC, we have sought to join the interests of the university (research, teaching, student recruiting) to the needs of K-12. Our programs now include teacher training workshops, student science camps and curriculum projects in several states. We are reminded that K-12 science education is interdisciplinary; local and political; and a process, not a problem to be solved and forgotten. Partially supported by NSF (CHE-9876674 and DBI-0115462), the Howard Hughes Medical Institute and the Burroughs Wellcome Fund.

Geometric Transformations in Middle School Mathematics Textbooks

ERIC Educational Resources Information Center

Zorin, Barbara

2011-01-01

This study analyzed treatment of geometric transformations in presently available middle grades (6, 7, 8) student mathematics textbooks. Fourteen textbooks from four widely used textbook series were evaluated: two mainline publisher series, Pearson (Prentice Hall) and Glencoe (Math Connects); one National Science Foundation (NSF) funded curriculum…

Fractions and the Funky Cookie

ERIC Educational Resources Information Center

Ellington, Aimee J.; Whitenack, Joy W.

2010-01-01

Mathematics specialists play a significant, meaningful, and integral role in supporting elementary school teachers in this mathematically connected world. These teacher leaders (coaches, resource teachers, math leads, and so on) work closely with all members of the school community--students, teachers, and administrators--and have a range of…

A Literature Approach to Middle Grade Math.

ERIC Educational Resources Information Center

Greenlaw, M. Jean; Tipps, Steve

1997-01-01

Suggests ways that teachers can use picture books, chapter books, poems, newspapers, and reference materials to fulfill the National Council of Teachers of Mathematics 1989 curriculum standards which state that problem solving, reasoning, communications, and connections should be part of every mathematics learning experience. Discusses number…

Math and Music: Harmonious Connections.

ERIC Educational Resources Information Center

Garland, Trudi Hammel; Kahn, Charity Vaughan

Mathematics can be used to analyze musical rhythms, to study the sound waves that produce musical notes, to explain why instruments are tuned, and to compose music. This book explores the relationship between mathematics and music through proportions, patterns, Fibonacci numbers or the Golden Ratio, geometric transformations, trigonometric…

Making STEM Real

ERIC Educational Resources Information Center

Hoachlander, Gary; Yanofsky, Dave

2011-01-01

In too many schools, science and mathematics are taught separately with little or no attention to technology and engineering. Also, science and mathematics tend to function in isolation from other core subjects. In California, Linked Learning: Pathways to College and Career Success connects core academics to challenging professional and technical…

Representations and Rafts

ERIC Educational Resources Information Center

Hartweg, Kimberly Sipes

2011-01-01

To build on prior knowledge and mathematical understanding, middle school students need to be given the opportunity to make connections among a variety of representations. Graphs, tables, algebraic formulas, and models are just a few examples of representations that can help students explore quantitative relationships. As a mathematics educator,…

Exploring Slope with Stairs & Steps

ERIC Educational Resources Information Center

Smith, Toni M.; Seshaiyer, Padmanabhan; Peixoto, Nathalia; Suh, Jennifer M.; Bagshaw, Graham; Collins, Laurena K.

2013-01-01

As much as ever before, mathematics teachers are searching for ways to connect mathematics to real-life scenarios within STEM contexts. As students develop skill in proportional reasoning, they examine graphical representations of linear functions, learn to associate "slope" with "steepness" and rate of change, and develop…

Topical Modules in Secondary Mathematics. Final Project Report.

ERIC Educational Resources Information Center

Fresno City Unified School District, CA.

Summative evaluation of an ESEA Title III project designed to raise the mathematics achievement scores of low achievers in grades 10 and 11 is reported. In a summer writing project, teachers developed 21 arithmetic modules and 11 algebra modules for use by students on an individual basis. Students used the modules at their own pace and stayed with…

Reduce, Reuse, Recycle: Resources and Strategies for the Use of Writing Projects in Mathematics

ERIC Educational Resources Information Center

Latulippe, Joe; Latulippe, Christine

2014-01-01

As an often recommended but under-utilized pedagogical strategy, writing in mathematics has many benefits for students. However, creating and grading worthwhile writing projects can be more time-consuming than utilizing more traditional forms of assessment. This paper provides a concrete example of a writing project prompt, questions, directions,…

Teacher Change: Ideas Emerging from a Project for the Teaching of University Mathematics

ERIC Educational Resources Information Center

Trigueros, Maria; Lozano, Maria-Dolores

2015-01-01

This paper reports the changes that occurred in the didactic approaches of three professors who participated in a project intended to develop new ways of teaching mathematics to second year university students. An enactivist perspective is used to address the process of change that emerged as a result from interactions during project meetings. We…

Project-Based Social Justice Mathematics: A Case Study of Five 6th Grade Students

ERIC Educational Resources Information Center

McHugh, Maighread L.

2015-01-01

The purpose of this qualitative multiple case study was to explore how five sixth grade female students navigated the process of project-based learning as they designed and implemented their own project centered on mathematics while using a social justice lens. The theoretical frameworks of Authentic Intellectual Work and Social Justice…

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…

Mathematical Models of Elementary Mathematics Learning and Performance. Final Report.

ERIC Educational Resources Information Center

Suppes, Patrick

This project was concerned with the development of mathematical models of elementary mathematics learning and performance. Probabilistic finite automata and register machines with a finite number of registers were developed as models and extensively tested with data arising from the elementary-mathematics strand curriculum developed by the…

The Mathematics Teacher Development with Peer Tutoring Program.

ERIC Educational Resources Information Center

Duffie, William B.; Guida, Frank V.

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

Specialization of the Right Intraparietal Sulcus for Processing Mathematics During Development.

PubMed

Schel, Margot A; Klingberg, Torkel

2017-09-01

Mathematical ability, especially perception of numbers and performance of arithmetics, is known to rely on the activation of intraparietal sulcus (IPS). However, reasoning ability and working memory, 2 highly associated abilities also activate partly overlapping regions. Most studies aimed at localizing mathematical function have used group averages, where individual variability is averaged out, thus confounding the anatomical specificity when localizing cognitive functions. Here, we analyze the functional anatomy of the intraparietal cortex by using individual analysis of subregions of IPS based on how they are structurally connected to frontal, parietal, and occipital cortex. Analysis of cortical thickness showed that the right anterior IPS, defined by its connections to the frontal lobe, was associated with both visuospatial working memory, and mathematics in 6-year-old children. This region specialized during development to be specifically related to mathematics, but not visuospatial working memory in adolescents and adults. This could be an example of interactive specialization, where interacting with the environment in combination with interactions between cortical regions leads from a more general role of right anterior IPS in spatial processing, to a specialization of this region for mathematics. © The Author 2016. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com.

Developments in School Mathematics Education around the World. University of Chicago School Mathematics Project. Volume Three. Proceedings of the UCSMP International Conference on Mathematics Education (3rd, October 30-November 1, 1991).

ERIC Educational Resources Information Center

Wirszup, Izaak, Ed.; Streit, Robert, Ed.

Papers from the International Conference on Mathematics Education are organized into four parts. Part 1, "The Goal of Mathematics for All," includes: "Will Everybody Ever Count?" (Steen); "Mathematics Education: An Industrial View" (McHenry); "The Popularization of Mathematics" (Kahane); "Is There a…

Who Can Know Mathematics?

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…

Ancient Paradoxes Can Extend Mathematical Thinking

ERIC Educational Resources Information Center

Czocher, Jennifer A.; Moss, Diana L.

2017-01-01

This article presents the Snail problem, a relatively simple challenge about motion that offers engaging extensions involving the notion of infinity. It encourages students in grades 5-9 to connect mathematics learning to logic, history, and philosophy through analyzing the problem, making sense of quantitative relationships, and modeling with…

Mathematics in Technology & Engineering Education: Judgments of Grade-Level Appropriateness

ERIC Educational Resources Information Center

Flowers, Jim; Rose, Mary Annette

2014-01-01

Technology and engineering (TE) educators have long championed the infusion of mathematics into technology curriculum, especially to enhance TE learning goals and demonstrate "connections between technology and other fields of study." There is a need for curriculum development and professional development initiatives to purposefully…

Celebrate Mathematical Curiosity

ERIC Educational Resources Information Center

Redford, Christine

2011-01-01

Children's mathematical questions are often based in real-world experiences, as they instinctively make connections to the world around them. In teaching math methods courses, this author recently started to emphasize the importance of fostering curiosity in, and activating the thinking of, the students. In this article, she describes how to tap…

Fraction Representation: The Not-So-Common Denominator among Textbooks

ERIC Educational Resources Information Center

Hodges, Thomas E.; Cady, JoAnn; Collins, Lee

2008-01-01

Three widely used sixth-grade textbooks were studied to see how fraction concepts were represented. The textbooks selected were "Connected Mathematics," "Middle Grades MathThematics," and Glencoe's "Mathematics: Applications and Concepts Course 1." Three specific areas were examined: representation mode, model, and problem context. Results of…

TDmat--Mathematics Diagnosis Evaluation Test for Engineering Sciences Students

ERIC Educational Resources Information Center

Pinto, J. S.; Oliveira, M. P.; Anjo, A. B.; Pais, S. I. Vieira; Isidro, R. O.; Silva, M. H.

2007-01-01

Since 1989, the Mathematics Education Project (PmatE--Projecto Matematica Ensino) has developed several strategies to improve the success of students in Mathematics. The most important of these are mathematical games for all grades above primary school. The online evaluation of Mathematics subjects is one of PmatE's goals. The implementation of an…

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…

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

ERIC Educational Resources Information Center

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

2015-01-01

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

An Architecture Design Project: "Building" Understanding

ERIC Educational Resources Information Center

Bush, Sarah B.; Albanese, Judith; Karp, Karen S.; Karp, Matthew

2017-01-01

Middle school students need relevant, meaningful contexts to apply emerging mathematical ideas. In this project, through the context of an architecture investigation, seventh-grade students engaged in mathematics involving area, surface area, volume, ratios and proportional thinking, number sense, and technology integration. Students, working in…

College Preparatory Mathematics: Change from Within.

ERIC Educational Resources Information Center

Kysh, Judith M.

1995-01-01

The College Preparatory Mathematics: Change from Within Project (CPM) was created to develop a rich, integrated mathematics curriculum, based on the best current wisdom of how people learn and the mathematics needed in an era of computers, and involving teachers in materials development. (MKR)

The TIMSS Videotape Classroom Study: Methods and Findings from an Exploratory Research Project on Eighth-Grade Mathematics Instruction in Germany, Japan, and the United States. A Research and Development Report.

ERIC Educational Resources Information Center

Stigler, James W.; Gonzales, Patrick; Kwanaka, Takako; Knoll, Steffen; Serrano, Ana

This report presents the methods and preliminary findings of the Videotape Classroom Study, a video study of eighth-grade mathematics lessons in Germany, Japan, and the United States. This exploratory research project is part of the Third International Mathematics and Science Study (TIMSS). The study included 231 eighth-grade mathematics…

The Effectiveness of Project Based Learning in Trigonometry

NASA Astrophysics Data System (ADS)

Gerhana, M. T. C.; Mardiyana, M.; Pramudya, I.

2017-09-01

This research aimed to explore the effectiveness of Project-Based Learning (PjBL) with scientific approach viewed from interpersonal intelligence toward students’ achievement learning in mathematics. This research employed quasi experimental research. The subjects of this research were grade X MIPA students in Sleman Yogyakarta. The result of the research showed that project-based learning model is more effective to generate students’ mathematics learning achievement that classical model with scientific approach. This is because in PjBL model students are more able to think actively and creatively. Students are faced with a pleasant atmosphere to solve a problem in everyday life. The use of project-based learning model is expected to be the choice of teachers to improve mathematics education.

Number Sense Made Simple Using Number Patterns

ERIC Educational Resources Information Center

Su, Hui Fang Huang; Marinas, Carol; Furner, Joseph

2011-01-01

This article highlights investigating intriguing number patterns utilising an emerging technology called the Square Tool. Mathematics teachers of grades K-12 will find the Square Tool useful in making connections and bridging the gap from the concrete to the abstract. Pattern recognition helps students discover various mathematical concepts. With…

Using Data-Based Individualization to Intensify Mathematics Intervention for Students with Disabilities

ERIC Educational Resources Information Center

Powell, Sarah R.; Stecker, Pamela M.

2014-01-01

This article describes data-based individualization (DBI) as a continuous process connecting assessment and intervention in mathematics for students with disabilities. DBI provides teachers with an evidence-based method for individualizing interventions for students who do not demonstrate adequate response. Assessment data gathered through the use…

Teachers' Explanations of a Key Developmental Understanding of Multiplicative Reasoning

ERIC Educational Resources Information Center

Rhee, Katherine L.

2012-01-01

This qualitative research study explores teachers' understandings of multiplicative reasoning as a key developmental understanding (KDU). A KDU entails knowingly applying the same mathematical concepts within different contexts. A KDU supports an individual to build a connected understanding of mathematics as opposed to only understanding…

Decimals, Denominators, Demons, Calculators, and Connections

ERIC Educational Resources Information Center

Sparrow, Len; Swan, Paul

2005-01-01

The authors provide activities for overcoming some fraction misconceptions using calculators specially designed for learners in primary years. The writers advocate use of the calculator as a way to engage children in thinking about mathematics. By engaging with a calculator as part of mathematics learning, children are learning about and using the…

Teaching Mathematical Connections to Financial Literacy in Grades K-8: Clarifying the Issues

ERIC Educational Resources Information Center

Lucey, Thomas A.; Maxwell, Sheryl A.

2011-01-01

Most teacher education programs do not incorporate financial education preparations into courses required for early childhood, elementary education, and middle level candidates. The authors of this manuscript explore the reasons for this omission, particularly the mathematics education component, and clarify the issues surrounding this decision.…

Adaptive Neurons For Artificial Neural Networks

NASA Technical Reports Server (NTRS)

Tawel, Raoul

1990-01-01

Training time decreases dramatically. In improved mathematical model of neural-network processor, temperature of neurons (in addition to connection strengths, also called weights, of synapses) varied during supervised-learning phase of operation according to mathematical formalism and not heuristic rule. Evidence that biological neural networks also process information at neuronal level.

Promoting Student Learning and Productive Persistence in Developmental Mathematics: Research Frameworks Informing the Carnegie Pathways

ERIC Educational Resources Information Center

Edwards, Ann R.; Beattie, Rachel L.

2016-01-01

This paper focuses on two research-based frameworks that inform the design of instruction and promote student success in accelerated, developmental mathematics pathways. These are Learning Opportunities--productive struggle on challenging and relevant tasks, deliberate practice, and explicit connections, and Productive Persistence--promoting…

Practicing Elementary Teachers' Perspectives of "Investigations" Curriculum.

ERIC Educational Resources Information Center

Ogolla, Penina A.

This in-depth case study explored the successes and struggles of elementary teachers as they implemented "Investigations in Number, Data, and Space," a K-5 research-based mathematics curriculum that offered students connected and meaningful mathematical problems and in-depth thinking. Data collection and analysis were based on the Zone…

Connecting Intonation Labels to Mathematical Descriptions of Fundamental Frequency

ERIC Educational Resources Information Center

Grabe, Esther; Kochanski, Greg; Coleman, John

2007-01-01

The mathematical models of intonation used in speech technology are often inaccessible to linguists. By the same token, phonological descriptions of intonation are rarely used by speech technologists, as they cannot be implemented directly in applications. Consequently, these research communities do not benefit much from each other's insights. In…

A Contract for Excellence in Scientific Education: May I Have Your Signature Please?

ERIC Educational Resources Information Center

Tate, William F.; Malancharuvil-Berkes, Elizabeth

2006-01-01

Recent advances in biology and digital technology represent unique opportunities for teacher educators to rethink the programmatic experiences of prospective secondary science and mathematics teachers. This article discusses the importance of teacher education programs that connect mathematics and science where appropriate, recognize the…

Citizenship: What's Mathematics Have to Do with It?

ERIC Educational Resources Information Center

Cotton, Tony

2016-01-01

British mathematics educator Tony Cotton suggests that teachers use math instruction to help students--who live in an internationally connected world--ponder international events and the global implications of policies in depth. He describes two math-based activities toward that end. First, teachers might guide learners in examining data connected…

Abstract Algebra to Secondary School Algebra: Building Bridges

ERIC Educational Resources Information Center

Christy, Donna; Sparks, Rebecca

2015-01-01

The authors have experience with secondary mathematics teacher candidates struggling to make connections between the theoretical abstract algebra course they take as college students and the algebra they will be teaching in secondary schools. As a mathematician and a mathematics educator, the authors collaborated to create and implement a…

Investigating Functions Using Real-World Data

ERIC Educational Resources Information Center

Arnold, Stephen

2006-01-01

The possibilities for using graphic calculators to enhance the teaching and learning of mathematics are great. However, the boundaries explode when these powerful tools for learning are connected to data logging devices: a whole new approach to mathematics learning becomes possible. Using real world data to introduce the main functions (which are…

Three Strategies for Opening Curriculum Spaces

ERIC Educational Resources Information Center

Drake, Corey; Land, Tonia J.; Bartell, Tonya Gau; Aguirre, Julia M.; Foote, Mary Q.; McDuffie, Amy Roth; Turner, Erin E.

2015-01-01

Many teachers experience the tension between using published curriculum materials and teaching in ways that are responsive to children. Teachers are often expected to use a particular mathematics curriculum series, but they still want to be able to build on and connect to children's multiple mathematical knowledge bases (MMKB).…

Measurement, Mathematics, and Music.

ERIC Educational Resources Information Center

Blackburn, Katie; White, David

The Greek mathematician, Pythagoras, was among the first to undertake a mathematical study of music. His work, resulted in a scale of notes which can produce beautiful melodies and which is easily reproduced in the elementary classroom. In an age when teachers look for an interdisciplinary connection between various aspects of the curriculum, in a…

WOW! Mathematics Convention: A Community Connection

ERIC Educational Resources Information Center

Cavazos, Rebecca R.

2014-01-01

This article details how certain mathematical "discoveries" that Cavazos' fourth graders made were recorded throughout the year. Cavazos invited a math professor, a biologist, a literacy professor, a chemist, a statistician, and an engineering student, as well as their school principal and computer lab technician, both of whom are…

Connecting Expectations and Values: Students' Perceptions of Developmental Mathematics in a Computer-Based Learning Environment

ERIC Educational Resources Information Center

Jackson, Karen Latrice Terrell

2014-01-01

Students' perceptions influence their expectations and values. According to Expectations and Values Theory of Achievement Motivation (EVT-AM), students' expectations and values impact their behaviors (Eccles & Wigfield, 2002). This study seeks to find students' perceptions of developmental mathematics in a mastery learning computer-based…

Making Connections: A "Number Curriculum" for Preschoolers.

ERIC Educational Resources Information Center

Shane, Ruth

This paper discusses a one-page curriculum outline for a preschool mathematics program in Israel. The curriculum was developed in the course of preservice and inservice teacher education programs in Israel, and the mathematics activities offered to support the curriculum were developed by student teachers there. The curriculum starts from…

Is GAISE Evident? College Students' Perceptions of Statistics Classes as "Almost Not Math"

ERIC Educational Resources Information Center

Hedges, Sarai; Harkness, Shelly Sheats

2017-01-01

The connection between mathematics and statistics is an important aspect in understanding college students' learning of statistics because studies have shown relationships among mathematics attitudes and performance and statistics attitudes. Statistics attitudes, in turn, are related to performance in statistics courses. Little research has been…

The STEAM behind the Scenes

ERIC Educational Resources Information Center

Smith, Carmen Petrick; King, Barbara; González, Diana

2015-01-01

There is a growing need for STEAM-based (Science, Technology, Engineering, Arts, and Mathematics) knowledge and skills across a wide range of professions (Brazell 2013). Yet students often fail to see the usefulness of mathematics beyond the classroom (Kloosterman, Raymond, and Emenaker 1996), and they do not regularly make connections between…

Graphing Calculator Mini Course

NASA Technical Reports Server (NTRS)

Karnawat, Sunil R.

1996-01-01

The "Graphing Calculator Mini Course" project provided a mathematically-intensive technologically-based summer enrichment workshop for teachers of American Indian students on the Turtle Mountain Indian Reservation. Eleven such teachers participated in the six-day workshop in summer of 1996 and three Sunday workshops in the academic year. The project aimed to improve science and mathematics education on the reservation by showing teachers effective ways to use high-end graphing calculators as teaching and learning tools in science and mathematics courses at all levels. In particular, the workshop concentrated on applying TI-82's user-friendly features to understand the various mathematical and scientific concepts.

Proceedings of the Annual Conference of the International Group for the Psychology of Mathematics Education with the North American Chapter 12th PME-NA Conference (14th, Mexico, July 15-20, 1990), Volume 2.

ERIC Educational Resources Information Center

Booker, George, Ed.; Cobb, Paul, Ed.; de Mendicuti, Teresa N., Ed.

This proceedings of the annual conference of the International Group for the Psychology of Mathematics Education (PME) includes the following research papers: "Children's Connections among Representations of Mathematical Ideas" (A. Alston & C.A. Maher); "Algebraic Syntax Errors: A Study with Secondary School Children" (A. Avila, F. Garcia, & T.…

The Evaluation of Project SEED, 1990-91.

ERIC Educational Resources Information Center

Webster, William J.; Chadbourn, Russell A.

Project Special Elementary Education for the Disadvantaged (SEED) is a national program in which professional mathematicians and scientists from universities and industry teach abstract, conceptually oriented mathematics to full-sized classes of elementary school children as a supplement to their regular mathematics instruction. In the Dallas…

Cooking with Quadratics

ERIC Educational Resources Information Center

Bryan, Luajean N.

2010-01-01

A project that mixes algebra with data collection, uses technology, extends into data analysis, and cooks marshmallows can excite both teachers and students. This article describes a project that intends to pique students' interest in higher mathematics, incorporate their knowledge of parabolas, and offer a meaningful mathematics experience. Using…

Students’ Relational Thinking of Impulsive and Reflective in Solving Mathematical Problem

NASA Astrophysics Data System (ADS)

Satriawan, M. A.; Budiarto, M. T.; Siswono, T. Y. E.

2018-01-01

This is a descriptive research which qualitatively investigates students’ relational thinking of impulsive and reflective cognitive style in solving mathematical problem. The method used in this research are test and interview. The data analyzed by reducing, presenting and concluding the data. The results of research show that the students’ reflective cognitive style can possibly help to find out important elements in understanding a problem. Reading more than one is useful to identify what is being questioned and write the information which is known, building relation in every element and connecting information with arithmetic operation, connecting between what is being questioned with known information, making equation model to find out the value by using substitution, and building a connection on re-checking, re-reading, and re-counting. The impulsive students’ cognitive style supports important elements in understanding problems, building a connection in every element, connecting information with arithmetic operation, building a relation about a problem comprehensively by connecting between what is being questioned with known information, finding out the unknown value by using arithmetic operation without making any equation model. The result of re-checking problem solving, impulsive student was only reading at glance without re-counting the result of problem solving.

Balancing Considerations of Equity, Content Quality, and Technical Excellence in Designing, Validating and Implementing Performance Assessments in the Context of Mathematics Instructional Reform: The Experience of the QUASAR Project.

ERIC Educational Resources Information Center

Silver, Edward A.; Lane, Suzanne

Issues of educational equity and quality are explored in the context of the Quantitative Understanding: Amplifying Student Achievement and Reasoning (QUASAR) project, a national educational reform project aimed at fostering and studying the development and implementation of enhanced mathematics instructional programs for students attending middle…

School Mathematics Leaders' Perceptions of Successes and Challenges of Their Leadership Role within a Mathematics Improvement Project

ERIC Educational Resources Information Center

Sexton, Matt; Downton, Ann

2014-01-01

The mathematics curriculum leader plays an important role in leading the mathematics curriculum in primary schools. They experience successes and face challenges associated with this leadership role. The perceptions that 25 mathematics leaders held about the successes and challenges they experienced whilst participating in a school mathematics…

75 FR 11151 - Pacific Gas and Electric Company; Notice of Intent To File License Application, Filing of Draft...

Federal Register 2010, 2011, 2012, 2013, 2014

2010-03-10

.... Name of Project: Humboldt WaveConnect Pilot Project. f. Location: The project would be located in the... Commission must include on the first page, the project name (Humboldt WaveConnect Pilot Project) and number (P-12779-005), and bear the heading ``Comments on the proposed Humboldt WaveConnect Pilot Project...

Mathematical difficulties as decoupling of expectation and developmental trajectories

PubMed Central

McLean, Janet F.; Rusconi, Elena

2014-01-01

Recent years have seen an increase in research articles and reviews exploring mathematical difficulties (MD). Many of these articles have set out to explain the etiology of the problems, the possibility of different subtypes, and potential brain regions that underlie many of the observable behaviors. These articles are very valuable in a research field, which many have noted, falls behind that of reading and language disabilities. Here will provide a perspective on the current understanding of MD from a different angle, by outlining the school curriculum of England and the US and connecting these to the skills needed at different stages of mathematical understanding. We will extend this to explore the cognitive skills which most likely underpin these different stages and whose impairment may thus lead to mathematics difficulties at all stages of mathematics development. To conclude we will briefly explore interventions that are currently available, indicating whether these can be used to aid the different children at different stages of their mathematical development and what their current limitations may be. The principal aim of this review is to establish an explicit connection between the academic discourse, with its research base and concepts, and the developmental trajectory of abstract mathematical skills that is expected (and somewhat dictated) in formal education. This will possibly help to highlight and make sense of the gap between the complexity of the MD range in real life and the state of its academic science. PMID:24567712

Teachers' Beliefs and Teaching Mathematics with Manipulatives

ERIC Educational Resources Information Center

Golafshani, Nahid

2013-01-01

To promote the implementation of manipulatives into mathematics instruction, this research project examined how the instructional practices of four Grade 9 applied mathematics teachers related to their beliefs about the use of manipulatives in teaching mathematics, its effects on students' learning, and enabling and disabling factors. Teacher…

Experiences of Student Mathematics-Teachers in Computer-Based Mathematics Learning Environment

ERIC Educational Resources Information Center

Karatas, Ilhan

2011-01-01

Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving…

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…

Ratio, Proportion and Scaling. Mathematics Resource Project.

ERIC Educational Resources Information Center

Hoffer, Shirley Ann, Ed.

The Mathematics Resource Project has as its goal the production of topical resources for teachers, drawn from the vast amounts of available material. This experimental edition on Ratio, Proportion, and Scaling, contains a teaching emphasis section, a classroom materials section, and teacher commentaries. The teaching emphasis section stresses…

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

PubMed Central

Ellington, Roni; Wachira, James

2010-01-01

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

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

PubMed

Ellington, Roni; Wachira, James; Nkwanta, Asamoah

2010-01-01

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

Mapping functional connectivity

Treesearch

Peter Vogt; Joseph R. Ferrari; Todd R. Lookingbill; Robert H. Gardner; Kurt H. Riitters; Katarzyna Ostapowicz

2009-01-01

An objective and reliable assessment of wildlife movement is important in theoretical and applied ecology. The identification and mapping of landscape elements that may enhance functional connectivity is usually a subjective process based on visual interpretations of species movement patterns. New methods based on mathematical morphology provide a generic, flexible,...

Numeracy and Beyond. Proceedings of the Annual Meeting of the Mathematics Education Research Group of Australasia Incorporated (24th, Sydney, Australia, June 30-July 4, 2001). Volume 1 [and] Volume 2.

ERIC Educational Resources Information Center

Bobis, Janette, Ed.; Perry, Bob, Ed.; Mitchelmore, Michael, Ed.

This document represents volumes 1 and 2 of the proceedings of the 24th annual conference of the Mathematics Education Research Group of Australasia (MERGA) held at the University of Sydney, June 30-July 4, 2001. In volume 1, papers include: (1) "Connecting Mathematics Education Research to Practice" (Judith Sowder); (2) "Understanding, Assessing,…

Studying the Role of Human Agency in School Mathematics

ERIC Educational Resources Information Center

Morgan, Candia

2016-01-01

Mathematical discourse is often described as abstract and devoid of human presence, yet many school curricula espouse an aim to develop active, creative mathematical problem posers and solvers. The project The Evolution of the Discourse of School Mathematics (EDSM) developed an analytic scheme to investigate the nature of school mathematics…

Investigative Approaches to Teaching Mathematics and "Getting through the Curriculum": The Example of Pendulums

ERIC Educational Resources Information Center

Beswick, Kim; Muir, Tracey; Callingham, Rosemary

2014-01-01

The benefits of rich tasks, project-based learning, and other inquiry-based approaches in terms of student understanding and engagement with mathematics are well documented. Such pedagogies are consistent with the development of mathematical proficiencies as described in the "Australian Curriculum: Mathematics" (Australian Curriculum…

Civic Mathematics: A Real-Life General Mathematics Course.

ERIC Educational Resources Information Center

Vatter, Terry

1994-01-01

Presents a civic mathematics curriculum that encompasses issues of race and gender, poverty and wealth, the environment, and concerns of teenagers. Includes lists of mathematics skills and aspects of the issues and a sample lesson on water resources. Quarterly projects are suggested as an alternative to exams. (MKR)

From the University to the Classroom: Prospective Elementary Mathematics Specialists' Pedagogical Shifts

ERIC Educational Resources Information Center

Myers, Kayla D.; Swars, Susan L.; Smith, Stephanie Z.

2016-01-01

This project focuses on the development of prospective Elementary Mathematics Specialists (EMSs) in a K-5 Mathematics Endorsement Program. Program courses emphasized elementary mathematics content and pedagogy while providing opportunities for participants to evidence their learning through classroom teaching practice, all in an attempt to…

Mathematics Programs in High Schools and Two-Year Colleges.

ERIC Educational Resources Information Center

Taylor, Ross

Reviewing current conditions and projecting future directions, this paper explores trends in high school mathematics and discusses their implications for two-year college education. The first section examines the secondary school mathematics program, indicating that until now this two-track curriculum has focused on precalculus mathematics for…

Strategies for Teaching Developmental Mathematics Students at the College Level

ERIC Educational Resources Information Center

Swaincott Kautz, Natalie Lynn

2016-01-01

The purpose of this investigation was to identify strategies used by effective instructors of developmental mathematics, and to discover the perceptions developmental mathematics students have about these strategies. While there are research projects focusing solely on developmental mathematics achievement, this study fills a need by incorporating…

A Quantitative and Qualitative Study of Math Anxiety among Preservice Teachers

ERIC Educational Resources Information Center

Sloan, Tina Rye

2010-01-01

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

Bilingual Mathematics and Science Achievement, 1988-89. Evaluation Section Report.

ERIC Educational Resources Information Center

Berney, Tomi D.; Barrera, Marbella

This report documents the evaluation of the Bilingual Mathematics and Science Achievement Program (Project BMSA) for students of limited English proficiency. The bilingual program was designed to provide intensive mathematics and science instruction, using mastery level concepts, in the native language and to incorporate mathematics and science…

Implementing Standards-Based Mathematics Instruction: A Casebook for Professional Development.

ERIC Educational Resources Information Center

Stein, Mary Kay; Smith, Margaret Schwan; Henningsen, Marjorie A.; Silver, Edward A.

Teachers and teacher educators interested in synthesizing their current practice with new mathematics standards will welcome this highly useful volume. The QUASAR Project at the University of Pittsburgh presents prevalent cases of mathematics instruction drawn from their research of nearly 500 classroom lessons. The Mathematical Tasks…

The Role of Expository Writing in Mathematical Problem Solving

ERIC Educational Resources Information Center

Craig, Tracy S.

2016-01-01

Mathematical problem-solving is notoriously difficult to teach in a standard university mathematics classroom. The project on which this article reports aimed to investigate the effect of the writing of explanatory strategies in the context of mathematical problem solving on problem-solving behaviour. This article serves to describe the…

Educational Research and Planning as a Career Option for a Mathematics Major.

ERIC Educational Resources Information Center

Tatham, Elaine L.

The author describes her career development from mathematics instructor to director of institutional research at a large community college. She discusses the impact of mathematics on her career, illustrates her present job by describing three recently completed research projects, and strongly recommends that mathematics instructors encourage some…

Mathematics and Sports

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…

Electrooculography: Connecting Mind, Brain, and Behavior in Mathematics Education Research

ERIC Educational Resources Information Center

Shipulina, Olga V.; Campbell, Stephen R.; Cimen, Arda O.

2009-01-01

This paper reports on the potential roles and importance of electrooculography (EOG) for mathematics educational neuroscience research. EOG enables accurate measurements of eye-related behavior (i.e., blinks & movements) by recording changes in voltage potentials generated by eye-related behavior. We identify and discuss three main uses of EOG.…

Using Challenging Tasks for Formative Assessment on Quadratic Functions with Senior Secondary Students

ERIC Educational Resources Information Center

Wilkie, Karina J.

2016-01-01

Senior secondary mathematics students who develop conceptual understanding that moves them beyond "rules without reasons" to connections between related concepts are in a strong place to tackle the more difficult mathematics application problems. Current research is examining how the use of challenging tasks at different levels of…

Consolidation of Similarity Knowledge via Pythagorean Theorem: A Turkish Case Study

ERIC Educational Resources Information Center

Güler, Hatice Kübra; Arslan, Çigdem

2017-01-01

Understanding how students learn is important for both researchers and teachers. In terms of mathematics, constructing a new mathematical structure depends on conceptual understanding and connection with previous construct and they needs to be consolidated. A construct can be consolidated when the construct is recognized and used in the further…

Looking within and beyond the Geometry Curriculum: Connecting Spatial Reasoning to Mathematics Learning

ERIC Educational Resources Information Center

Mulligan, Joanne

2015-01-01

This commentary adopts a broad perspective in considering the contributions of papers from cross- and interdisciplinary fields of mathematics education, psychology, child development and neuroscience. The discussion aims to complement the commentary by Dindyal, focused on background research on geometry and implications for pedagogy and curricula.…

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

ERIC Educational Resources Information Center

Jäder, Jonas; Sidenvall, Johan; Sumpter, Lovisa

2017-01-01

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

Team Teaching in the Saturday Morning Search for Solutions.

ERIC Educational Resources Information Center

Solomon, Pearl G.; And Others

The Marie Curie Mathematics and Science Center at St. Thomas Aquinas College (New York), in a comprehensive effort to improve mathematics and science education, offers the Saturday Morning Search for Solutions enrichment program for area students in grades 7-12. The program is interdisciplinary, connecting technology and the study of societal…

How Readability and Topic Incidence Relate to Performance on Mathematics Story Problems in Computer-Based Curricula

ERIC Educational Resources Information Center

Walkington, Candace; Clinton, Virginia; Ritter, Steven N.; Nathan, Mitchell J.

2015-01-01

Solving mathematics story problems requires text comprehension skills. However, previous studies have found few connections between traditional measures of text readability and performance on story problems. We hypothesized that recently developed measures of readability and topic incidence measured by text-mining tools may illuminate associations…

An Introduction to the Standards for Preparation and Professional Development for Teachers of Engineering

ERIC Educational Resources Information Center

Reimers, Jackson E.; Farmer, Cheryl L.; Klein-Gardner, Stacy S.

2015-01-01

The past 30 years have yielded a mature body of research regarding effective professional development for teachers of science and mathematics, leading to a robust selection of professional development programs for these teachers. The current emphasis on connections among science, technology, engineering, and mathematics underscores the need for…

Coming Full Circle

ERIC Educational Resources Information Center

Roberts, Sally K.; Borum, Viveka O.

2012-01-01

Students often view mathematics as a set of unrelated facts and procedures and fail to make the connections between and among related topics. One role of a teacher is to help students understand that mathematics is an interrelated discipline. Another role is to assist students in the scaffolding of their knowledge so that they can make connections…

A Course Which Used Programming to Aid Learning Various Mathematical Concepts.

ERIC Educational Resources Information Center

Day, Jane M.

A three unit mathematics course entitled Introduction to Computing evaluated the effectiveness of programing as an aid to learning math concepts and to developing student self-reliance. Sixteen students enrolled in the course at the College of Notre Dame in Belmont, California; one terminal was available, connected to the Stanford Computation…

The "Mozart Effect" and the Mathematical Connection

ERIC Educational Resources Information Center

Taylor, Judy M.; Rowe, Beverly J.

2012-01-01

Educators are always looking for ways to enhance the performance of students on outcome assessments. There is a growing body of research showing the benefits of music on educational performance. The purpose of this study was to determine if a "Mozart Effect" improves student performance on outcome assessments in mathematics. In this study, during…

Connecting Research to Teaching: Lenses for Examining Students' Mathematical Thinking

ERIC Educational Resources Information Center

Linsenmeier, Katherine A.; Sherin, Miriam; Walkoe, Janet; Mulligan, Martha

2014-01-01

The authors present three strategies for making sense of students' mathematical thinking. These lenses make the abstract idea of "making sense of student thinking" more manageable and concrete. We start by taking an initial look at a student's idea, going deeper, and finally looking across several ideas.

Imagining a Future in PreK: How Professional Identity Shapes Notions of Early Mathematics

ERIC Educational Resources Information Center

Graue, Elizabeth; Karabon, Anne; Delaney, Katherine Kresin; Whyte, Kristin; Kim, Jiwon; Wager, Anita

2015-01-01

This article describes how early childhood teachers engaged in a public preK professional development program. We examine how developing teacher identities mediated engagement with the discourses of developmentally appropriate practice, early mathematics, and funds of knowledge and how they connected present practice to an imagined future. We…

Supporting Children's Mathematical Understanding: Professional Development Focused on Out-of-School Practices

ERIC Educational Resources Information Center

Taylor, Edd V.

2012-01-01

This study describes the Reflection Connection Cycle professional development designed to support teachers' use and appreciation of students' out-of-school practices related to school mathematics. The year-long program incorporated group lesson design, readings, and video analysis for 14 elementary school (ages 5-12) teachers. Analysis of lesson…

Parietal Hyper-Connectivity, Aberrant Brain Organization, and Circuit-Based Biomarkers in Children with Mathematical Disabilities

ERIC Educational Resources Information Center

Jolles, Dietsje; Ashkenazi, Sarit; Kochalka, John; Evans, Tanya; Richardson, Jennifer; Rosenberg-Lee, Miriam; Zhao, Hui; Supekar, Kaustubh; Chen, Tianwen; Menon, Vinod

2016-01-01

Mathematical disabilities (MD) have a negative life-long impact on professional success, employment, and health outcomes. Yet little is known about the intrinsic functional brain organization that contributes to poor math skills in affected children. It is now increasingly recognized that math cognition requires coordinated interaction within a…

Effect of temperature on microbial growth rate - thermodynamic analysis, the arrhenius and eyring-polanyi connection

USDA-ARS?s Scientific Manuscript database

The objective of this work is to develop a new thermodynamic mathematical model for evaluating the effect of temperature on the rate of microbial growth. The new mathematical model is derived by combining the Arrhenius equation and the Eyring-Polanyi transition theory. The new model, suitable for ...

Generalized Adaptive Artificial Neural Networks

NASA Technical Reports Server (NTRS)

Tawel, Raoul

1993-01-01

Mathematical model of supervised learning by artificial neural network provides for simultaneous adjustments of both temperatures of neurons and synaptic weights, and includes feedback as well as feedforward synaptic connections. Extension of mathematical model described in "Adaptive Neurons For Artificial Neural Networks" (NPO-17803). Dynamics of neural network represented in new model by less-restrictive continuous formalism.

Mathematics Hiding in the Nets for a Cube

ERIC Educational Resources Information Center

Jeon, Kyungsoon

2009-01-01

Whether they are third graders or teacher candidates, students can learn about perimeter and area while having fun manipulating two-dimensional figures into three-dimensional objects. In this article, the author describes a common mathematical activity for geometry students by creating nets for a cube. By making connections between nets in two…

Picture Book Power: Connecting Children's Literature and Mathematics

ERIC Educational Resources Information Center

Shatzer, Joyce

2008-01-01

The author's experiences in using children's literature to engage her students in mathematics are described in this article. Using the book "The Wolf's Chicken Stew", the author's class participated in an interactive read-aloud, graphed favorite foods from the story, and finally followed a recipe to bake chocolate chip cookies. Reasons for making…

The George Engelmann Mathematics & Science Institute. 1993 Annual Report Science Scholar Program.

ERIC Educational Resources Information Center

Missouri Univ., St. Louis. George Englemann Mathematics & Science Inst.

This publication is a comprehensive report on the George Engelmann Mathematics and Science Institute's Science Scholar program (SSP) and its activities in 1993. The SSP provides high achieving high school students an introductory, 4-week summer curriculum designed to demonstrate the connecting thread running through all scientific thought. The 52…

Proceedings of the International Conference on Technology in Mathematics Education (Auckland, NZ, December 11-14, 2000).

ERIC Educational Resources Information Center

Thomas, M. O. J., Ed.

This volume contains the proceedings of the International Conference on Technology in Mathematics Education (TIME 2000). It includes papers, posters, and short oral reports. Research papers include: (1) "Implications of the Shift from Isolated Expensive Technology to Connected, Inexpensive, Ubiquitous and Diverse Technologies" (Jim…

Reframing Practice: High School Mathematics Teachers' Learning through Interactions in Their Workplace Community

ERIC Educational Resources Information Center

Bannister, Nicole A.

2009-01-01

This dissertation seeks to understand how teachers learn through interactions in newly formed workplace communities by examining how mathematics teachers engaged in equity-oriented reforms frame problems of practice. It examines how teachers' framings develop over time, and how teachers' shifting frames connect to their learning in a community of…

Focus in High School Mathematics: Reasoning and Sense Making in Algebra

ERIC Educational Resources Information Center

Graham, Karen; Cuoco, Albert; Zimmermann, Gwendolyn

2010-01-01

This book examines the five key elements (meaningful use of symbols, mindful manipulation, reasoned solving, connection algebra with geometry, and linking expressions and functions) identified in "Focus in High School Mathematics: Reasoning and Sense Making" in more detail and elaborates on the associated reasoning habits. This volume is one of a…

Bilingualism and Mathematical Reasoning in English as a Second Language.

ERIC Educational Resources Information Center

Dawe, Lloyd

1983-01-01

Findings of a study of bilingual Punjabi, Mirpuri, Italian, and Jamaican children aged 11-13 growing up in England are reported. First-language competence was found to be an important factor in children's ability to do mathematical reasoning in English as a second language. Knowledge of logical connectives appeared crucial. (MNS)

Cracking Codes & Launching Rockets

ERIC Educational Resources Information Center

Paoletti, Teo J.

2013-01-01

To engage students, many teachers wish to connect the mathematics they are teaching to other branches of mathematics or to real-world applications. The lesson presented in this article, which uses the algebraic skill of finding the equation of a line between two points and the geometric axiom that any two points define a line, does both. A…

Examination of Lower Secondary Mathematics Teachers' Content Knowledge and Its Connection to Students' Performance

ERIC Educational Resources Information Center

Tchoshanov, Mourat; Cruz, Maria D.; Huereca, Karla; Shakirova, Kadriya; Shakirova, Liliana; Ibragimova, Elena N.

2017-01-01

This mixed methods study examined an association between cognitive types of teachers' mathematical content knowledge and students' performance in lower secondary schools (grades 5 through 9). Teachers (N = 90) completed the Teacher Content Knowledge Survey (TCKS), which consisted of items measuring different cognitive types of teacher knowledge.…

Elementary Modeling: Connecting Counting with Sharing

ERIC Educational Resources Information Center

Wickstrom, Megan H.; Aytes, Tracy

2018-01-01

Mathematical modeling is an important and accessible process for elementary school students because it allows them to use mathematics to engage with the world and consider if and when to use it to help them reason about a situation. It fosters productive struggle and twenty-first-century skills that will aid them throughout their lifetime.

Guiding Reinvention of Conventional Tools of Mathematical Logic: Students' Reasoning about Mathematical Disjunctions

ERIC Educational Resources Information Center

Dawkins, Paul Christian; Cook, John Paul

2017-01-01

Motivated by the observation that formal logic answers questions students have not yet asked, we conducted exploratory teaching experiments with undergraduate students intended to guide their reinvention of truth-functional definitions for basic logical connectives. We intend to reframe the relationship between reasoning and logic by showing how…

Mathematical foundations of the GraphBLAS

DOE PAGES

Kepner, Jeremy; Aaltonen, Peter; Bader, David; ...

2016-12-01

The GraphBLAS standard (GraphBlas.org) is being developed to bring the potential of matrix-based graph algorithms to the broadest possible audience. Mathematically, the GraphBLAS defines a core set of matrix-based graph operations that can be used to implement a wide class of graph algorithms in a wide range of programming environments. This study provides an introduction to the mathematics of the GraphBLAS. Graphs represent connections between vertices with edges. Matrices can represent a wide range of graphs using adjacency matrices or incidence matrices. Adjacency matrices are often easier to analyze while incidence matrices are often better for representing data. Fortunately, themore » two are easily connected by matrix multiplication. A key feature of matrix mathematics is that a very small number of matrix operations can be used to manipulate a very wide range of graphs. This composability of a small number of operations is the foundation of the GraphBLAS. A standard such as the GraphBLAS can only be effective if it has low performance overhead. Finally, performance measurements of prototype GraphBLAS implementations indicate that the overhead is low.« less

Shaking up Pre-Calculus: Incorporating Engineering into K-12 Curricula

ERIC Educational Resources Information Center

Sabo, Chelsea; Burrows, Andrea; Childers, Lois

2014-01-01

Projects highlighting Science, Technology, Engineering, and Mathematics (STEM) education in high schools have promoted student interest in engineering-related fields and enhanced student understanding of mathematics and science concepts. The Science and Technology Enhancement Program (Project STEP), funded by a NSF GK-12 grant at the University of…

University of Chicago School Mathematics Project (UCSMP) Algebra. WWC Intervention Report

ERIC Educational Resources Information Center

What Works Clearinghouse, 2009

2009-01-01

University of Chicago School Mathematics Project (UCSMP) Algebra is a one-year course covering three primary topics: (1) linear and quadratic expressions, sentences, and functions; (2) exponential expressions and functions; and (3) linear systems. Topics from geometry, probability, and statistics are integrated with the appropriate algebra.…

Flipping Undergraduate Finite Mathematics: Findings and Implications

ERIC Educational Resources Information Center

Guerrero, Shannon; Beal, Melissa; Lamb, Chris; Sonderegger, Derek; Baumgartel, Drew

2015-01-01

This paper reports on a research project that investigated the effects of a flipped instructional approach on student attitudes and achievement in a lower division university-level Finite Mathematics course. The project employed a mixed-methods design that included content exams, an attitude survey, open-ended student responses, observations, and…

Critters: K-6 Life Science Activities. Project AIMS.

ERIC Educational Resources Information Center

Allen, Maureen Murphy; And Others

Project AIMS (Activities to Integrate Mathematics and Science) has as its purpose the integration of subject matter in grades K-9. Field testing of the curriculum materials produced by AIMS indicates that this integration produces the following beneficial results: (1) mathematics becomes more meaningful, hence more useful; (2) science is…

Addition Chains: A reSolve Lesson

ERIC Educational Resources Information Center

Turner, Paul; Thornton, Steve

2017-01-01

This article draws on some ideas explored during and after a writing workshop to develop classroom resources for the reSolve: Mathematics by Inquiry (www.resolve.edu.au) project. The project develops classroom and professional learning resources that will promote a spirit of inquiry in school mathematics from Foundation to year ten. The…

Mathematical Modeling Projects: Success for All Students

ERIC Educational Resources Information Center

Shelton, Therese

2018-01-01

Mathematical modeling allows flexibility for a project-based experience. We share details of our regular capstone course, successful for virtually 100% of our math majors for almost two decades. Our research-like approach in this course accommodates a variety of student backgrounds and interests, and has produced some award-winning student…

Exploring the Effects of Project-Based Learning in Secondary Mathematics Education

ERIC Educational Resources Information Center

Holmes, Vicki-Lynn; Hwang, Yooyeun

2016-01-01

This mixed-method, longitudinal study investigated the benefits of project-based learning (PBL) on secondary-mathematics students' academic skill development and motivated strategies for learning (i.e., cognitive, social, and motivational). The focus of this study was academic skill development (algebra- and geometry-assessment scores) and other…

Changing the Subject: The Challenge to Teacher Professionalism of Innovation in OECD Countries.

ERIC Educational Resources Information Center

Olson, John; James, Edwyn; Lang, Manfred

The Organization for Economic Cooperation and Development (OECD) study, "Innovations in Science, Mathematics and Technology Education" (SMTE), documents 23 projects aimed at enhancing the appeal of science, mathematics, and technology education. The projects began in 13 OECD countries that believed that curricula must be more…

Team Research at the Biology-Mathematics Interface: Project Management Perspectives

ERIC Educational Resources Information Center

Milton, John G.; Radunskaya, Ami E.; Lee, Arthur H.; de Pillis, Lisette G.; Bartlett, Diana F.

2010-01-01

The success of interdisciplinary research teams depends largely upon skills related to team performance. We evaluated student and team performance for undergraduate biology and mathematics students who participated in summer research projects conducted in off-campus laboratories. The student teams were composed of a student with a mathematics…

Maximum Pre-Angiogenic Tumor Size

ERIC Educational Resources Information Center

Erickson, Amy H. Lin

2010-01-01

This material has been used twice as an out-of-class project in a mathematical modeling class, the first elective course for mathematics majors. The only prerequisites for this course were differential and integral calculus, but all students had been exposed to differential equations, and the project was assigned during discussions about solving…

Enhancing student engagement to positively impact mathematics anxiety, confidence and achievement for interdisciplinary science subjects

NASA Astrophysics Data System (ADS)

Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R.

2017-11-01

Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to negative emotions like high mathematical anxiety and low mathematical confidence. Here, we present a theoretical framework that investigates linkages between student engagement, mathematical anxiety, mathematical confidence, student achievement and subject mastery. We implement this framework in a large, first-year interdisciplinary science subject and monitor its impact over several years from 2010 to 2015. The implementation of the framework coincided with an easing of anxiety and enhanced confidence, as well as higher student satisfaction, retention and achievement. The framework offers interdisciplinary science educators greater flexibility and confidence in their approach to designing and delivering subjects that rely on mathematical concepts and practices.

Developing a Theoretical Framework to Inform the Design of a Teacher Professional Development Program to Enable Foundation to Year 2 Teachers of Mathematics to Build on Indigenous and Low-SES Students' Cultural Capital

ERIC Educational Resources Information Center

Anderson, Robyn; Stütz, Alexander; Cooper, Tom; Nason, Rod

2017-01-01

This paper reports on the early stages of the conceptualisation and implementation of the Accelerated Inclusive Mathematics-Early Understandings (AIM EU) project, a project whose major goals are to advance theory and practice in the improvement of Foundation to Year 2 (F-2) teachers' capacity to teach mathematics and through this to enhance F-2…

Listening to Geometry

ERIC Educational Resources Information Center

Cooper, Brett D.; Barger, Rita

2009-01-01

The many connections between music and mathematics are well known. The length of a plucked string determines its tone, the time signature of a piece of music is a ratio, and note durations are measured in fractions. One connection commonly overlooked is that between music and geometry--specifically, geometric transformations, including…

Coordinate an Attack Using the Calculator

ERIC Educational Resources Information Center

Kranz, Sharie R.; Amato, Carlo A.; Freudenthal, Eric A.

2013-01-01

In this culture of instantaneous technology, students are familiar with immediate feedback. To maintain student engagement, it is vital for teachers to create similarly interactive experiences. Student-centered instruction is important in connecting students to key mathematical concepts. If the connection is not obvious, they may be unaware of…

Mathematically precocious and female: Self-efficacy and STEM course choices among high achieving middle grade students

NASA Astrophysics Data System (ADS)

Burt, Stacey M.

The problem addressed in this project is the lack of mathematically gifted females choosing to pursue advanced science, technology, engineering, and mathematics (STEM) courses in secondary education due to deficiencies in self-efficacy. The purpose of this project was to study the effects of a child-guided robotics program as it relates to the self-efficacy of mathematically gifted 6th grade female students and their future course choices in the advanced STEM content areas. This mixed-model study utilized a STEM attitude survey, artifacts, interviews, field notes, and standardized tests as measurement tools. Significance was found between genders in the treatment group for the standardized science scores, indicating closure in the achievement gap. Research suggests that STEM enrichment is beneficial for mathematically gifted females.

Superposition Quantification

NASA Astrophysics Data System (ADS)

Chang, Li-Na; Luo, Shun-Long; Sun, Yuan

2017-11-01

The principle of superposition is universal and lies at the heart of quantum theory. Although ever since the inception of quantum mechanics a century ago, superposition has occupied a central and pivotal place, rigorous and systematic studies of the quantification issue have attracted significant interests only in recent years, and many related problems remain to be investigated. In this work we introduce a figure of merit which quantifies superposition from an intuitive and direct perspective, investigate its fundamental properties, connect it to some coherence measures, illustrate it through several examples, and apply it to analyze wave-particle duality. Supported by Science Challenge Project under Grant No. TZ2016002, Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences, Grant under No. 2008DP173182

Equivalence between the Arquès-Walsh sequence formula and the number of connected Feynman diagrams for every perturbation order in the fermionic many-body problem

NASA Astrophysics Data System (ADS)

Castro, E.

2018-02-01

From the perturbative expansion of the exact Green function, an exact counting formula is derived to determine the number of different types of connected Feynman diagrams. This formula coincides with the Arquès-Walsh sequence formula in the rooted map theory, supporting the topological connection between Feynman diagrams and rooted maps. A classificatory summing-terms approach is used, in connection to discrete mathematical theory.

Making Connections: Where STEM Learning and Earth Science Data Services Meet

NASA Technical Reports Server (NTRS)

Bugbee, Kaylin; Ramachandran, Rahul; Maskey, Manil; Gatlin, Patrick; Weigel, Amanda

2016-01-01

STEM (Science, Technology, Engineering, Mathematics) learning is most effective when students are encouraged to see the connections between science, technology and real world problems. Helping to make these connections has become an increasingly important aspect of Earth Science data research. The Global Hydrology Resource Center (GHRC), one of NASA's 12 EOSDIS (Earth Observing System Data Information System) data centers, has developed a new type of documentation called the micro article to facilitate making connections between data and Earth science research problems.

The Language of Mathematics in Science

ERIC Educational Resources Information Center

Boohan, Richard

2016-01-01

"The Language of Mathematics in Science" is an ASE/Nuffield project aimed at supporting teachers of 11-16 science in the use of mathematical ideas in the science curriculum. Two publications have been produced. This article focuses on the first of these, "The Language of Mathematics in Science: A Guide for Teachers of 11-16…

New Thinking about College Mathematics: Implications for High School Teaching

ERIC Educational Resources Information Center

Marcus, Robin; Fukawa-Connelly, Tim; Conklin, Michael; Fey, James T.

2007-01-01

This article describes recommendations made by participants in a large project of the Mathematical Association of America (MAA), in which representatives of "partner disciplines" shared what they would like students to learn in the first two years of college mathematics. The article further suggests implications for high school mathematics.…

Math Autobiographies: A Window into Teachers' Identities as Mathematics Learners

ERIC Educational Resources Information Center

McCulloch, Allison W.; Marshall, Patricia L.; DeCuir-Gunby, Jessica T.; Caldwell, Ticola S.

2013-01-01

Mathematics autobiographies have the potential to help teachers reflect on their identities as mathematics learners and to understand their role in the development of their students' mathematics identities. This paper reports on a professional development project for K-2 teachers (n = 41), in which participants were asked to write mathematics…

The Language of Mathematics: Learning to Read Mathematics for Understanding and Success

ERIC Educational Resources Information Center

Im, Yang Ok

2013-01-01

The intention of this project was to explore the effect of utilizing basic reading skills to promote student growth in mathematical literacy among middle school students. Mathematics was approached as a linquistical language and teachers utilized decoding skills as the treatment. This study used a nonequivalent control group quasi-experimental…

The Impact of Problem Posing on Elementary Teachers' Beliefs about Mathematics and Mathematics Teaching

ERIC Educational Resources Information Center

Barlow, Angela T.; Cates, Janie M.

2006-01-01

This study investigated the impact of incorporating problem posing in elementary classrooms on the beliefs held by elementary teachers about mathematics and mathematics teaching. Teachers participated in a year-long staff development project aimed at facilitating the incorporation of problem posing into their classrooms. Beliefs were examined via…

What Is the Problem in Problem-Based Learning in Higher Education Mathematics

ERIC Educational Resources Information Center

Dahl, Bettina

2018-01-01

Problem and Project-Based Learning (PBL) emphasise collaborate work on problems relevant to society and emphases the relation between theory and practice. PBL fits engineering students as preparation for their future professions but what about mathematics? Mathematics is not just applied mathematics, but it is also a body of abstract knowledge…

Identity and Ethnomathematics Projects in Papua New Guinea

ERIC Educational Resources Information Center

Owens, Kay

2012-01-01

Indigenous students may find mathematics in schools difficult because there is discontinuity between cultural mathematics and school mathematics. One of the reasons for this is that their teacher's identity as a mathematical thinker may not link to their cultural ways of thinking. In Papua New Guinea, there is a subject to assist student teachers…

Projects, Puzzles and Other Pedagogies: Working with Kids to Solve Local Problems

ERIC Educational Resources Information Center

Marshman, Margaret

2012-01-01

Engaging and extending middle years students in mathematics is a continual challenge. One of the aims of the "Australian Curriculum: Mathematics" is to ensure that students are "confident, creative users and communicators of mathematics" (ACARA, 2011). Use of mathematical models and/or problems has been suggested as methods of…

Mathematics Screening: The Development and Pilot Study of a Mathematics Screening Instrument for K-2 Grades

ERIC Educational Resources Information Center

Anderson, Stephen A.

2010-01-01

This paper summarizes an action research project to develop a math screening instrument that would be effective (valid and reliable) and efficient (time for administration). An instrument was developed after review of the mathematics assessment and mathematics disabilities literature. The instrument was administered to kindergarten, first, and…

Research on Mathematical Literacy in Schools--Aim, Approach and Attention

ERIC Educational Resources Information Center

Haara, Frode Olav; Bolstad, Oda Heidi; Jenssen, Eirik S.

2017-01-01

The development of mathematical literacy in schools is of significant concern at the policy level, and research is an important source of information in this process. This review article focuses on areas of research interest identified in empirical projects on mathematical literacy, and how mathematical literacy in schools is approached by…

Many Right Answers: Learning in Mathematics through Speaking and Listening

ERIC Educational Resources Information Center

De Geest, Els

2007-01-01

This project, "Many Right Answers: Learning in mathematics through speaking and listening", was initiated to address two issues in the teaching of secondary mathematics: (1) speaking and listening and its relevance to engaging the disengaged; and (2) the use of speaking and listening by teachers of mathematics as part of their Continuous…

Orthogonal Reflections on Computer Microworlds, Constructivism, Play and Mathematical Understanding.

ERIC Educational Resources Information Center

Kieren, Thomas E.

1994-01-01

Comments on the Fractions Project presented in this same issue. Discusses two major ideas: the construction of mathematics of children and its basis and playful actions as a basis for mathematical actions. Highlights the understanding of children's mathematical concepts and schemes as they grow and are organized in the context of computer…

Students Use Graphic Organizers to Improve Mathematical Problem-Solving Communications

ERIC Educational Resources Information Center

Zollman, Alan

2009-01-01

Improving students' problem-solving abilities is a major, if not the major, goal of middle grades mathematics. To address this goal, the author, who is a university mathematics educator, and nine inner-city middle school teachers developed a math/science action research project. This article describes their unique approach to mathematical problem…

Connection of Scattering Principles: A Visual and Mathematical Tour

ERIC Educational Resources Information Center

Broggini, Filippo; Snieder, Roel

2012-01-01

Inverse scattering, Green's function reconstruction, focusing, imaging and the optical theorem are subjects usually studied as separate problems in different research areas. We show a physical connection between the principles because the equations that rule these "scattering principles" have a similar functional form. We first lead the reader…