Effects of Manipulative Use on PK-12 Mathematics Achievement: A Meta-Analysis

ERIC Educational Resources Information Center

Holmes, Amy B.

2013-01-01

Four figures and three tables are appended.There is growing consensus among researchers, educators, and policy makers about the need for greater emphasis on ambitious student-centered mathematics instruction in light of mounting concern about student mathematics performance in the intermediate grades and beyond. To facilitate educators' adoption…

Educational Systems (ES) in Mathematics and other related topics

NASA Astrophysics Data System (ADS)

Artemiadis, Nicolaos K.

2009-05-01

This work is specifically concerned with various Educational Systems that are used for the improvement of Education in Mathematics. It is based on the speaker's as well as of others' viewpoint which has arisen from discussions about this issue at various levels and on different occasions.

Using Digital Technologies in Mathematics Teaching: Developing an Understanding of the Landscape Using Three "Grand Challenge" Themes

ERIC Educational Resources Information Center

Joubert, Marie

2013-01-01

This paper develops an understanding of the issues, interests and concerns within the mathematics education community related to the use of computers and other digital technologies in the teaching and learning of mathematics. It begins by arguing for the importance of understanding this landscape of interests and concerns, and then turns to the…

The Sampling Issues in Quantitative Research

ERIC Educational Resources Information Center

Delice, Ali

2010-01-01

A concern for generalization dominates quantitative research. For generalizability and repeatability, identification of sample size is essential. The present study investigates 90 qualitative master's theses submitted for the Primary and Secondary School Science and Mathematics Education Departments, Mathematic Education Discipline in 10…

The Association between Working Memory and Educational Attainment as Measured in Different Mathematical Subtopics in the Swedish National Assessment: Primary Education

ERIC Educational Resources Information Center

Nyroos, Mikaela; Wiklund-Hornqvist, Carola

2012-01-01

The aim of this study was to examine the relationship between working memory capacity and mathematical performance measured by the national curriculum assessment in third-grade children (n = 40). The national tests concerned six subareas within mathematics. One-way ANOVA, two-tailed Pearson correlation and multiple regression analyses were…

Mathematics Education and the Objectivist Programme in HPS

NASA Astrophysics Data System (ADS)

Glas, Eduard

2013-06-01

Using history of mathematics for studying concepts, methods, problems and other internal features of the discipline may give rise to a certain tension between descriptive adequacy and educational demands. Other than historians, educators are concerned with mathematics as a normatively defined discipline. Teaching cannot but be based on a pre-understanding of what mathematics `is' or, in other words, on a normative (methodological, philosophical) view of the identity or nature of the discipline. Educators are primarily concerned with developments at the level of objective mathematical knowledge, that is: with the relations between successive theories, problems and proposed solutions—relations which are independent of whatever has been the role of personal or collective beliefs, convictions, traditions and other historical circumstances. Though not exactly `historical' in the usual sense, I contend that this `objectivist' approach does represent one among other entirely legitimate and valuable approaches to the historical development of mathematics. Its retrospective importance to current practitioners and students is illustrated by a reconstruction of the development of Eudoxus's theory of proportionality in response to the problem of irrationality, and the way in which Dedekind some two millennia later almost literally used this ancient theory for the rigorous introduction of irrational numbers and hence of the real number continuum.

Ethical Concerns: Negotiating Truth and Trust

ERIC Educational Resources Information Center

McGarvey, Lynn M.; Sterenberg, Gladys

2009-01-01

Few studies in mathematics education explicitly address ethical issues arising from student interactions. The ethical concerns held by students are expressed in their words, actions, and interactions. The purpose of this article is to explore the ethical nature of copying as it arises in a mathematics classroom. We investigate the basis for…

Discrete Mathematics and the Secondary Mathematics Curriculum.

ERIC Educational Resources Information Center

Dossey, John

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

Math Worlds: Philosophical and Social Studies of Mathematics and Mathematics Education.

ERIC Educational Resources Information Center

Restivo, Sal, Ed.; And Others

This book is a compilation of papers from authors who are all concerned with what bearing mathematical practice has on the production or construction of mathematics. The sections and chapters are: (1) General Introduction: "The Promethean Task of Bringing Mathematics to Earth" (S. Restivo); (2) Philosophical Perspectives: "Foundations of…

Addressing Racism

ERIC Educational Resources Information Center

Journal for Research in Mathematics Education, 2013

2013-01-01

This dialogue, extracted from a conversation among some members of the Equity Special Issue Editorial Panel, concerns racism in mathematics education. It raises issues about the use of various terms; about fields of research outside of mathematics education; and about the kinds of racialization processes that occur for students, teachers, and…

Developing a Learning Progression for Curriculum, Instruction, and Student Learning: An Example from Mathematics Education

ERIC Educational Resources Information Center

Fonger, Nicole L.; Stephens, Ana; Blanton, Maria; Isler, Isil; Knuth, Eric; Gardiner, Angela Murphy

2018-01-01

Learning progressions have been demarcated by some for science education, or only concerned with levels of sophistication in student thinking as determined by logical analyses of the discipline. We take the stance that learning progressions can be leveraged in mathematics education as a form of curriculum research that advances a linked…

Partnerships, Policy, and Educational Change: The Role of Mathematics and Science in K-16 Reform

ERIC Educational Resources Information Center

Maloney, Patricia A.

2007-01-01

Concerns about American competitiveness and innovation have led to increasing scrutiny of science, technical, engineering, and mathematics (STEM) education. Leaders in the higher education, business, and legislative communities have all issued calls for expanded opportunities and training in STEM fields to improve the skills of the U.S. workforce.…

Competency Based Teacher Education Component. Curriculum Methods and Materials, Elementary Mathematics and Social Studies.

ERIC Educational Resources Information Center

Woodworth, William D.

Four mathematical/social studies module clusters are presented in an effort to develop proficiency in instruction and in inductive and deductive teaching procedures. Modules within the first cluster concern systems of numeration, set operations, numbers, measurement, geometry, mathematics, and reasoning. The second mathematical cluster presents…

Discrete Mathematics across the Curriculum, K-12. 1991 Yearbook.

ERIC Educational Resources Information Center

Kenney, Margaret J., Ed.; Hirsch, Christian R., Ed.

This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…

Pathways in Mathematics towards Equity: A 25 Year Journey.

ERIC Educational Resources Information Center

Leder, Gilah C.

A brief and selective overview of historical evidence of females' involvement in mathematics precedes a review of developments in research on gender and mathematics learning. Gender equity concerns have attracted considerable research attention by mathematics educators in many countries, and over time the body of work on gender and mathematics…

Reflective Awareness in Mathematics Teachers' Learning and Teaching

ERIC Educational Resources Information Center

Chapman, Olive

2015-01-01

The nature of mathematics teachers' knowledge specific to teaching mathematics [MTK] is of ongoing concern in mathematics education research. This article contributes to our under-standing of this knowledge with particular focus on reflective awareness. It discusses MTK based on ways it has been used in research. It highlights reflective awareness…

Mathematical Education of Engineers.

ERIC Educational Resources Information Center

Organisation for Economic Cooperation and Development, Paris (France).

The seminar reported in this document examined the university mathematics courses which should be available to future engineers, and was especially concerned with the introduction of computer science education. There are four major sections. The first reports a survey of electrical engineers in the United Kingdom which investigated how often they…

The AMATYC Review. 1994-1995.

ERIC Educational Resources Information Center

Browne, Joseph, Ed.

1995-01-01

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regular features presenting book and software reviews and math problems. In addition to regular features such as…

Pre-Service Mathematics Teacher Efficacy: Its Nature and Relationship to Teacher Concerns and Orientation

ERIC Educational Resources Information Center

Pyper, Jamie Scott

2014-01-01

In a mixed method study, teacher efficacy and contributing theoretical constructs of teacher concerns and teacher orientation with Intermediate/Senior mathematics preservice teachers from two Ontario Faculties of Education are examined. Data sources include a web-based questionnaire containing two teacher efficacy scales and short answer…

Culturally Responsive Mathematics and Science Education for Native Students.

ERIC Educational Resources Information Center

Nelson-Barber, Sharon; Estrin, Elise Trumbull

This monograph addresses concerns about mathematics and science instruction and educational outcomes for Native students. The sociocultural contexts of schooling and community come together in particular ways to influence how Native children learn and, consequently, their life outcomes. It is important to look beyond the performance of individual…

The AMATYC Review, Volume 18, Numbers 1-2, Fall 1996-Spring 1997.

ERIC Educational Resources Information Center

Browne, Joseph, Ed.

1997-01-01

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education and regular features presenting book and software reviews, classroom activities, instructor experiences, and math…

The Challenge of Formative Assessment in Mathematics Education: Children's Minds, Teachers' Minds

ERIC Educational Resources Information Center

Ginsburg, Herbert P.

2009-01-01

The developmental psychology of mathematical thinking and the clinical interview method can make major contributions to education by transforming the process of formative assessment--the attempt to use information concerning student performance, knowledge, learning potential, and motivation to inform instruction. The clinical interview is a…

Improving Numeracy Education in Rural Schools: A Professional Development Approach

ERIC Educational Resources Information Center

Goos, Merrilyn; Dole, Shelley; Geiger, Vince

2011-01-01

In Australia, concerns about the quality of mathematics education that students experience are particularly salient in rural schools. These schools typically report great difficulty in attracting and retaining qualified teachers of mathematics. Teachers in non-metropolitan locations may also experience professional isolation if they have limited…

The AMATYC Review, 1997-1998.

ERIC Educational Resources Information Center

Browne, Joseph, Ed.

1998-01-01

This document consists of the two issues of the "AMATYC Review" published during volume year 1997-1998. Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regularly…

The AMATYC Review, Volume 17. Numbers 1-2, Fall 1995-Spring 1996.

ERIC Educational Resources Information Center

Browne, Joseph, Ed.

1996-01-01

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education and regular features presenting book and software reviews, classroom activities, instructor experiences, and math…

Science, Technology, Engineering, and Mathematics Education: Strategic Planning Needed to Better Manage Overlapping Programs across Multiple Agencies. Report to Congressional Requesters. GAO-12-108

ERIC Educational Resources Information Center

Scott, George A.

2012-01-01

Science, technology, engineering, and mathematics (STEM) education programs help to enhance the nation's global competitiveness. Many federal agencies have been involved in administering these programs. Concerns have been raised about the overall effectiveness and efficiency of STEM education programs. GAO examined (1) the number of federal…

Mathematics Education: Wellspring of U.S. Industrial Strength. Report of the Wellspring Symposium (Irvine, California, December 15-16, 1988).

ERIC Educational Resources Information Center

National Academy of Sciences - National Research Council, Washington, DC. Mathematical Sciences Education Board.

More than 175 representatives from business, industry, government, and educational institutions gathered to discuss shared concerns about quantitative and problem-solving skills of the work force, linking mathematics education to the health and competitiveness of U.S. business and industry. The primary goals of the conference were to bring the…

Establishing and Sustaining an Effective Pre-Kindergarten Math Intervention at Scale

ERIC Educational Resources Information Center

Klein, Alice; Starkey, Prentice; DeFlorio, Lydia; Brown, E. Todd

2012-01-01

Educators are increasingly concerned about the low level of mathematics performance of U.S. students on the TIMSS and other international assessments of mathematics (National Mathematics Advisory Panel, 2008) as well as their insufficient preparation for mathematics standards, such as the Common Core State Standards. Students from low-income and…

Mathematical Knowledge: Its Growth through Teaching. Mathematics Education Library, Volume 10.

ERIC Educational Resources Information Center

Bishop, Alan J., Ed.; And Others

This book presents issues concerning relationships between mathematical knowledge and the teaching and learning processes, focusing especially on the genesis of mathematical knowledge in the classroom. The chapter titles are: (1) The Fragility of Knowledge (Guy Brousseau and Michael Otte); (2) The Double Bind as a Didactical Trap (Stieg…

The AMATYC Review, Fall 1992-Spring 1993.

ERIC Educational Resources Information Center

Cohen, Don, Ed.; Browne, Joseph, Ed.

1993-01-01

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, as well as regular features presenting book and software reviews and math problems. The first of two issues of volume 14…

What Is Appropriate Mathematics Education for Four-Year-Olds?: Pre-Kindergarten Teachers' Beliefs

ERIC Educational Resources Information Center

Lee, Joon Sun; Ginsburg, Herbert P.

2007-01-01

This study explored pre-kindergarten teachers' beliefs about the appropriateness of early mathematics education. Thirty pre-kindergarten teachers of four-year-olds, half working with low-SES children at publicly funded pre-kindergartens and the other half with middle-SES children at private pre-kindergartens, were interviewed concerning written…

The AMATYC Review, Volume 15, Numbers 1-2, Fall 1993-Spring 1994.

ERIC Educational Resources Information Center

Browne, Joseph, Ed.

1994-01-01

Designed as a avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regular features presenting book and software reviews and math problems. Volume 15 includes the following articles:…

The AMATYC Review, Fall 1987, Spring 1988.

ERIC Educational Resources Information Center

Cohen, Don, Ed.

1988-01-01

Designed as an avenue of communication for mathematics educators concerned with the views, ideas, and experiences of two-year college students and teachers, this journal contains articles on mathematics exposition and education, and regular features that present book and software reviews and math problems. The first of two issues of volume 9…

MAA Placement Test Newsletter. 1978-87.

ERIC Educational Resources Information Center

Harvey, John G., Ed.

1987-01-01

This document consists of volumes 1-9 of the Mathematics Association of America's (MAA) Placement Test Program Newsletter. The MAA is the professional association primarily concerned with undergraduate education in mathematics. It has responded to the increasingly difficult problem of placing freshmen students in mathematics courses by developing…

Understanding the Complexities of Student Motivations in Mathematics Learning

ERIC Educational Resources Information Center

Walter, Janet G.; Hart, Janelle

2009-01-01

Student motivation has long been a concern of mathematics educators. However, commonly held distinctions between intrinsic and extrinsic motivations may be insufficient to inform our understandings of student motivations in learning mathematics or to appropriately shape pedagogical decisions. Here, motivation is defined, in general, as an…

Mathematics Diagnostic Testing in Engineering: An International Comparison between Ireland and Portugal

ERIC Educational Resources Information Center

Carr, M.; Fidalgo, C.; Bigotte de Almeida, M. E.; Branco, J. R.; Santos, V.; Murphy, E.; Ní Fhloinn, E.

2015-01-01

Concern has been expressed throughout Europe about the significant deficiencies in the basic mathematical skills of many engineering undergraduates. Mathematics diagnostic tests in the UK, Ireland and Portugal have shown these shortcomings, which provide a challenge to those striving to introduce more innovative educational practices into…

The Money Context

ERIC Educational Resources Information Center

Tabach, Michal; Friedlander, Alex

2009-01-01

One of the basic disagreements in mathematics education concerns the roles that rules and procedures, on the one hand, and concepts and principles, on the other hand, should play in students' learning of mathematics. The use of procedures and an understanding of concepts are considered to be two separate aspects of mathematical activity.…

Raising Concerns about Sharing and Reusing Large-Scale Mathematics Classroom Observation Video Data

ERIC Educational Resources Information Center

Ing, Marsha; Samkian, Artineh

2018-01-01

There are great opportunities and challenges to sharing large-scale mathematics classroom observation data. This Research Commentary describes the methodological opportunities and challenges and provides a specific example from a mathematics education research project to illustrate how the research questions and framework drove observational…

Emotion and Disaffection with School Mathematics

ERIC Educational Resources Information Center

Lewis, Gareth

2013-01-01

This paper reports some initial findings from research designed to understand more deeply the motivational and emotional landscape of disaffection with school mathematics. A context is described in which there has been significant concern expressed about a number of aspects of mathematics education, but where affect is seen as salient to these…

The APU and the 1978 Mathematics Survey

ERIC Educational Resources Information Center

Bell, Alan

1977-01-01

A tentative structure for a survey concerned with assessing the whole range of outcomes of school mathematics education is outlined. The structure provides for surveying content categories, process categories, and attitudes, utilizing practical manipulative problems. (MN)

How Do Students' Mastery and Performance Goals Relate to Math Anxiety?

ERIC Educational Resources Information Center

Furner, Joseph M.; Gonzalez-DeHass, Alyssa

2011-01-01

A changing, economically competitive world has necessitated reform in mathematics education. Yet mathematics anxiety has been a prevalent concern among educators and others in our society for decades. Some students tend to be more anxious about the testing process and can often freeze up, others just cringe when they are confronted with any form…

Responding to National Concerns: A University/Secondary School/Business Partnership in Mathematics and Science Education.

ERIC Educational Resources Information Center

Fitzgerald, Sallyanne H.

1990-01-01

Discussed are the growth of partnerships between universities and public schools in the United States, and the need for improvement in science and mathematics education. A five-week program which involved inner-city students in different science experiences in a university environment is described. The results of this program are presented. (CW)

The Effect of German and Turkish Mathematics Teachers' Teaching Experience on Mathematics Education Values: A Cross-Comparative Study

ERIC Educational Resources Information Center

Dede, Yuksel

2013-01-01

This study reported the specific findings of a larger comparative study concerning Turkish and German mathematics teachers' values. The main focus was on the teaching experience of the mathematics teachers. Interactions related to nationality were also of interest. The research methodology employed in this study was a descriptive study. The…

Framing the Structural Role of Mathematics in Physics Lectures: A Case Study on Electromagnetism

ERIC Educational Resources Information Center

Karam, Ricardo

2014-01-01

Physics education research has shown that students tend to struggle when trying to use mathematics in a meaningful way in physics (e.g., mathematizing a physical situation or making sense of equations). Concerning the possible reasons for these difficulties, little attention has been paid to the way mathematics is treated in physics instruction.…

Trends in Basic Mathematical Competencies of Beginning Undergraduates in Ireland, 2003-2013

ERIC Educational Resources Information Center

Treacy, Páraic; Faulkner, Fiona

2015-01-01

Deficiencies in beginning undergraduate students' basic mathematical skills has been an issue of concern in higher education, particularly in the past 15 years. This issue has been tracked and analysed in a number of universities in Ireland and internationally through student scores recorded in mathematics diagnostic tests. Students beginning…

Spatial Reasoning in Undergraduate Mathematics: A Case Study

ERIC Educational Resources Information Center

Prugh, Lindsay A.

2012-01-01

The need for spatial thinkers is evident in the growing concerns regarding the performance of U.S. students in mathematics and the lack of interest in spatially-driven fields such as science, technology, engineering, and mathematics. Although the focus on spatial research has fluctuated over decades of educational reform, a platform has been…

Conceptual and Procedural Approaches to Mathematics in the Engineering Curriculum: Views of Qualified Engineers

ERIC Educational Resources Information Center

Engelbrecht, Johann; Bergsten, Christer; Kågesten, Owe

2017-01-01

The research interest underpinning this paper concerns the type of mathematical knowledge engineering students may acquire during their specialised education in terms of the conceptual and procedural dimensions of doing and using mathematics. This study draws on interviews with 25 qualified engineers from South Africa and Sweden regarding their…

Role of Mathematics Learning Development Centres in HEIs

ERIC Educational Resources Information Center

Nzekwe-Excel, C.

2010-01-01

Background and Rationale: Student withdrawal and non-completion in institutions have been an issue of considerable concern. The lack of mathematical ability has been identified as a factor resulting to non-completion in higher institutions. Several students in higher education approach mathematics with a lot of anxiety. This has created the need…

Why New Mathematics Teachers Do or Don't Use Practices Emphasized in Their Credential Program

ERIC Educational Resources Information Center

Gainsburg, Julie

2012-01-01

A major research concern for teacher education is the impact of university credentialing programs on K-12 teaching and the disjuncture between university-promoted practices and what teachers actually do in their classrooms. In particular, mathematics-credential programs typically promote reform-oriented methods, while mathematics teaching in the…

Explorations in the Modeling of the Learning of Mathematics.

ERIC Educational Resources Information Center

Fuson, Karen C., Ed.; And Others

Eleven research reports in the area of models of learning mathematics are presented in this publication of the Mathematics Education Reports series. The papers represent a mixture of theories, viewpoints, and references to other areas. Content areas addressed range from preschool to college levels. All the papers are concerned with the learning of…

Higher Education: Science, Technology, Engineering, and Mathematics Trends and the Role of Federal Programs. Testimony before the Committee on Education and the Workforce, House of Representatives. GAO-06-702T

ERIC Educational Resources Information Center

Ashby, Cornelia M.

2006-01-01

The United States is a world leader in scientific and technological innovation. To help maintain this advantage, the federal government has spent billions of dollars on education programs in the science, technology, engineering, and mathematics (STEM) fields for many years. However, concerns have been raised about the nation's ability to maintain…

Students Who Study Science, Technology, Engineering, and Mathematics (STEM) in Postsecondary Education. Stats in Brief. NCES 2009-161

ERIC Educational Resources Information Center

Chen, Xianglei

2009-01-01

Rising concern about America's ability to maintain its competitive position in the global economy has renewed interest in science, technology, engineering and mathematics (STEM) education. To understand who enters into and completes undergraduate programs in STEM fields, this report examined data from three major national studies: the 1995-96…

"Ms. Martin Is Secretly Teaching Us!" High School Mathematics Practices of a Teacher Striving toward Equity

ERIC Educational Resources Information Center

Dunleavy, Teresa Kathleen

2013-01-01

Attention to the pursuit of equity has been a growing priority for mathematics classrooms in the last two and a half decades. While classroom discourse has become a central feature of classrooms that strive toward equity, one continuing concern for classroom researchers in mathematics education involves understanding how and when group…

Cultural-historical activity theory: Vygotsky's forgotten and suppressed legacy and its implication for mathematics education

NASA Astrophysics Data System (ADS)

Roth, Wolff-Michael

2012-03-01

Cultural-historical activity theory—with historical roots in dialectical materialism and the social psychology to which it has given rise—has experienced exponential growth in its acceptance by scholars interested in understanding knowing and learning writ large. In education, this theory has constituted something like a well kept secret that is only in the process of gaining larger levels of acceptance. Mathematics educators are only beginning to realise the tremendous advantages that the theory provides over other theories. In this review essay, I articulate the theory as it may relate to the issues that concern mathematics education and educators with a particular focus on the way in which it addresses logical contradictions in existing theories.

Impact of Organizational Inertia and Dynamic Capabilities on Educational Performance of the Charitable Societies and Its Impact on Mathematical Performance of Elementary At-Risk Students

ERIC Educational Resources Information Center

Amiripour, Parvaneh; Dossey, John A.; Shahvarani, Ahmad

2017-01-01

This study is an adjunct to a research effort focused on a mathematical curricular innovation in four non-governmental schools in Tehran, Iran. This study queried balanced, random sample of 100 educational personnel from the schools concerning dynamic capabilities associated with change (sensing opportunities, seizing opportunities, and…

Goals for the Correlation of Elementary Science and Mathematics; The Report of the Cambridge Conference on the Correlation of Science and Mathematics in Schools.

ERIC Educational Resources Information Center

Cambridge Conference on School Mathematics, Newton, MA.

This is The Report of the 1967 Cambridge Conference on the Correlation of Science and Mathematics in the Schools. It is addressed to professionals in education, and is designed to stimulate dialogue among them concerning the mathematics-science curriculum. The report is organized in five chapters, each dealing respectively with (1) educational…

Effects of Finger Counting on Numerical Development – The Opposing Views of Neurocognition and Mathematics Education

PubMed Central

Moeller, Korbinian; Martignon, Laura; Wessolowski, Silvia; Engel, Joachim; Nuerk, Hans-Christoph

2011-01-01

Children typically learn basic numerical and arithmetic principles using finger-based representations. However, whether or not reliance on finger-based representations is beneficial or detrimental is the subject of an ongoing debate between researchers in neurocognition and mathematics education. From the neurocognitive perspective, finger counting provides multisensory input, which conveys both cardinal and ordinal aspects of numbers. Recent data indicate that children with good finger-based numerical representations show better arithmetic skills and that training finger gnosis, or “finger sense,” enhances mathematical skills. Therefore neurocognitive researchers conclude that elaborate finger-based numerical representations are beneficial for later numerical development. However, research in mathematics education recommends fostering mentally based numerical representations so as to induce children to abandon finger counting. More precisely, mathematics education recommends first using finger counting, then concrete structured representations and, finally, mental representations of numbers to perform numerical operations. Taken together, these results reveal an important debate between neurocognitive and mathematics education research concerning the benefits and detriments of finger-based strategies for numerical development. In the present review, the rationale of both lines of evidence will be discussed. PMID:22144969

Cognitive Neuroscience Meets Mathematics Education

ERIC Educational Resources Information Center

De Smedt, Bert; Ansari, Daniel; Grabner, Roland H.; Hannula, Minna M.; Schneider, Michael; Verschaffel, Lieven

2010-01-01

While there has been much theoretical debate concerning the relationship between neuroscience and education, researchers have started to collaborate across both disciplines, giving rise to the interdisciplinary research field of neuroscience and education. The present contribution tries to reflect on the challenges of this new field of empirical…

Mathematics education practice in Nigeria: Its impact in a post-colonial era

NASA Astrophysics Data System (ADS)

Enime, Noble O. J.

This qualitative research method of study examined the impacts of the Nigerian pre-independence era Mathematics Education Practice on the Post-Colonial era Mathematics Education Practice. The study was designed to gather qualitative information related to Pre-independence and Postcolonial era data related to Mathematics Education Practice in Nigeria (Western, Eastern and the Middle Belt) using interview questions. Data was collected through face to face interviews. Over ten themes emerged from these qualitative interview questions when data was analyzed. Some of the themes emerging from the sub questions were as follows. "Mentally mature to understand the mathematics" and "Not mentally mature to understand the mathematics", "mentally mature to understand the mathematics, with the help of others" and "Not Sure". Others were "Contented with Age of Enrollment" and "Not contented with Age of Enrollment". From the questions of type of school attended and liking of mathematics the following themes emerged: "Attended UPE (Universal Primary Education) and understood Mathematics", and "Attended Standard Education System and did not like Mathematics". Connections between the liking of mathematics and the respondents' eventual careers were seen through the following themes that emerged. "Biological Sciences based career and enjoyed High School Mathematics Experience", "Economics and Business Education based career and enjoyed High School Mathematics Experience" and five more themes. The themes, "Very helpful" and "Unhelpful" emerged from the question concerning parents and students' homework. Some of the themes emerging from the interviews were as follows: "Awesome because of method of Instruction of Mathematics", "Awesome because Mathematics was easy", "Awesome because I had a Good Teacher or Teachers" and four other themes, "Like and dislike of Mathematics", "Heavy work load", "Subject matter content" and "Rigor of instruction". More emerging themes are presented in this document in Chapter IV. The emerging themes suggested that the influence Nigerian Colonial era Mathematics Education Practice had on the independent Nigerian state is yet to completely diminish. The following are among the conclusions drawn n from the study. Student's enrollment age appeared to generally have an influence over the performance in mathematics at all levels of school. Also, students that had encouraging parents were likely to enjoy learning mathematics, while students that attended mission schools were likely to be successful in mathematics. The students whose parents were educated were likely to be successful in Mathematics.

The AMATYC Review, Volume 10, Number 1, Fall 1988.

ERIC Educational Resources Information Center

Cohen, Don, Ed.

1988-01-01

Designed as an avenue of communication for all mathematics educators concerned with the views, ideas, and experiences pertinent to two-year college teachers and students, this journal presents articles and regular features related to mathematical and pedagogical themes. This issue includes the following articles: (1) "Fractals for Freshmen? Or,…

Math Wars: A Rhetorical Analysis of the Terms of Debate

ERIC Educational Resources Information Center

Muzaffar, Irfan

2009-01-01

This study concerns itself with the conflict in mathematics education--popularly known as "math wars"--in the United States. More specifically, it investigates the "terms of debate" in this conflict to develop insights into the varied, and sometimes conflicting, relationships between the perceived nature of mathematics and its…

Rational Number and Proportional Reasoning in Early Secondary School: Towards Principled Improvement in Mathematics

ERIC Educational Resources Information Center

Howe, Christine; Luthman, Stefanie; Ruthven, Kenneth; Mercer, Neil; Hofmann, Riikka; Ilie, Sonia; Guardia, Paula

2015-01-01

Reflecting concerns about student attainment and participation in mathematics and science, the Effecting Principled Improvement in STEM Education ("epiSTEMe") project attempted to support pedagogical advancement in these two disciplines. Using principles identified as effective in the research literature (and combining these in a novel…

A Curriculum Innovation Framework for Science, Technology and Mathematics Education

ERIC Educational Resources Information Center

Tytler, Russell; Symington, David; Smith, Craig

2011-01-01

There is growing concern about falling levels of student engagement with school science, as evidenced by studies of student attitudes, and decreasing participation at the post compulsory level. One major response to this, the Australian School Innovation in Science, Technology and Mathematics (ASISTM) initiative, involves partnerships between…

Using Virtual Manipulatives with Pre-Service Mathematics Teachers to Create Representational Models

ERIC Educational Resources Information Center

Cooper, Thomas E.

2012-01-01

In mathematics education, physical manipulatives such as algebra tiles, pattern blocks, and two-colour counters are commonly used to provide concrete models of abstract concepts. With these traditional manipulatives, people can communicate with the tools only in one another's presence. This limitation poses difficulties concerning assessment and…

Forschung Zum Prozess des Mathematiklernens. Reihe: Materialien und Studien, Band 2. (Research on the Process of Mathematics Learning. Series: Materials and Studies, Volume 2.)

ERIC Educational Resources Information Center

Bielefeld Univ. (West Germany).

The ten papers in this document were developed for a meeting prepared for the Third International Congress on Mathematical Education. Each paper is concerned with research from 1970-1975 related to the mathematical learning process. The first paper describes projects conducted in England on both content and process learning. The second paper…

Understanding STEM: Current Perceptions

ERIC Educational Resources Information Center

Brown, Ryan; Brown, Joshua; Reardon, Kristin; Merrill, Chris

2011-01-01

In many ways, the push for STEM (science, technology, engineering, and mathematics) education appears to have grown from a concern for the low number of future professionals to fill STEM jobs and careers and economic and educational competitiveness. The proponents of STEM education believe that by increasing math and science requirements in…

Student-Centered Teaching Practices in Korean Elementary Mathematics Classrooms

ERIC Educational Resources Information Center

Pang, JeongSuk

2003-01-01

The current mathematics education reform requires substantial changes toward student-centered instruction. In contrast to the widespread awareness of the reform agenda, there is a concern that many teachers do not quite grasp the vision of the reform. This study explored the breakdown that may occur between teachers' adoption of reform objectives…

Conference Board of the Mathematical Sciences Newsletter, Volume 8, Number 4.

ERIC Educational Resources Information Center

Botts, Truman, Ed.

Among the articles in this newsletter are discussions concerning the employment of mathematicians in industry and questioning the necessity of some of the present doctoral programs in the mathematical sciences. Other articles include details of the organization and the members of the Policy Council of the National Institute of Education and a…

With an Eye on the Mathematical Horizon: Dilemmas of Teaching Elementary School Mathematics. Craft Paper 90-3.

ERIC Educational Resources Information Center

Ball, Deborah Loewenberg

Much educational discourse centers on the importance of teachers' subject matter knowledge. Complementing concerns for subject matter knowledge is interest in developing and studying alternative pedagogies that emphasize active learning and meaningful engagement. Teaching and learning would be improved, so the argument goes, if classrooms were…

The Role of Cultural Capital in Creating Equity for Pasifika Learners in Mathematics

ERIC Educational Resources Information Center

Bills, Trevor; Hunter, Roberta

2015-01-01

Despite the Ministry of Education Statement of Intent 2014-2018 that the performance of the education system for priority students--Maori, Pasifika, students with special education needs and students from low socio-economic areas needs to improve rapidly these groups remain a concern in the New Zealand Education System. This article explores what…

Environmental Education: Some Global and Local Perspectives.

ERIC Educational Resources Information Center

Lisowski, Marilin; Williams, Robert

1993-01-01

Environmental education is an interdisciplinary approach that draws on biology, mathematics, chemistry, social studies, and humanities and provides a balanced, comprehensive perspective. Knowledge and skills required are applicable to regional, statewide, and global concerns. Methods include infusion, issue investigation and action, and educating…

Using Mentors and Interdisciplinary Teams To "Genderize" Teacher Education.

ERIC Educational Resources Information Center

Sanders, Jo; Campbell, Patricia B.

This paper describes a national project concerning gender equity in teacher education in mathematics, science, and technology. Using a model of external mentors and on-site teams, the Teacher Education Mentor Program (TEMP) worked with seven universities to facilitate the inclusion of gender equity in individual college courses and in college of…

Using Citizen Science to Engage Preservice Elementary Educators in Scientific Fieldwork

ERIC Educational Resources Information Center

Scott, Catherine M.

2016-01-01

Preservice elementary teachers' lack of confidence in teaching science is an ongoing concern. Only 29% of elementary teachers in the field felt "very well prepared to teach life science," according to the National Survey of Science and Mathematics Education. Research has suggested that bridging informal and formal science education can…

On the Edge of Mathematics and Biology Integration: Improving Quantitative Skills in Undergraduate Biology Education

ERIC Educational Resources Information Center

Feser, Jason; Vasaly, Helen; Herrera, Jose

2013-01-01

In this paper, the authors describe how two institutions are helping their undergraduate biology students build quantitative competencies. Incorporation of quantitative skills and reasoning in biology are framed through a discussion of two cases that both concern introductory biology courses, but differ in the complexity of the mathematics and the…

Developing Talent in Mathematics, Science and Technology: A Conference on Academic Talent (Durham, North Carolina, March 28-30, 1988).

ERIC Educational Resources Information Center

Dreyden, Julia I., Ed.; And Others

An introductory chapter, "Contemporary Issues in Gifted Education" by Julia Dreyden and Shelagh Gallagher, summarizes National Science Foundation policy concerning development of new science and mathematics curricula and the work of the Talent Identification Program. Major conference papers and responses are then presented: "Developing Academic…

A Cross-Age Study of Elementary Student Teachers' Scientific Habits of Mind Concerning Socioscientific Issues

ERIC Educational Resources Information Center

Çalik, Muammer; Turan, Burçin; Coll, Richard Kevin

2014-01-01

In this study, we investigated elementary student teachers' scientific habits of mind for a series of socioscientific issues, and compared their views with respect to academic performance and type of programme. The sample consisted of 1,600 student teachers from science education, mathematics education, primary teacher education and social science…

Family Backgrounds of Young Asian Americans Who Reason Extremely Well Mathematically.

ERIC Educational Resources Information Center

Moore, Sara Delano; Stanley, Julian C.

From a group of 292 youth (269 male, 23 female) who scored 700-800 on the mathematical portion of the College Board's Scholastic Aptitude Test (SAT-M) before age 13, the subscale of 68 students who were of Asian descent (55 males, 13 females) were asked to complete a questionnaire concerning their parents' and grandparents' educational and…

Where Are the Women? Campus Climate and the Degree Aspirations of Women in Science, Technology, Engineering and Mathematics Programs

ERIC Educational Resources Information Center

Schulz, Phyllis

2014-01-01

Women remain underrepresented in science, technology, engineering, and mathematics (STEM) at all levels of higher education, which has become a concern in the competitive global marketplace. Using both quantitative and qualitative analysis, this dissertation sought to learn more about how the campus climate and self-concept influence the degree…

Equity in Mathematics and Science Outcomes: Characteristics Associated with High and Low Achievement on PISA 2006 in Ireland

ERIC Educational Resources Information Center

Gilleece, Lorraine; Cosgrove, Jude; Sofroniou, Nick

2010-01-01

Equity in education is a key concern internationally; however, it is rare that this issue is examined separately for low- and high-achieving students and concurrently across different subject domains. This study examines student and school background characteristics associated with low and high achievement in mathematics and science on the…

The Anatomy of a Mathematical Proof: Implications for Analyses with Toulmin's Scheme

ERIC Educational Resources Information Center

Simpson, Adrian

2015-01-01

A model solution to a proof question on an examination is explored and subjected to a detailed analysis in terms of Toulmin's scheme of argumentation. In doing so, the ways in which the scheme has been variously used in the mathematics education and philosophical literature are contrasted. The analysis raises a number of issues concerning the…

An Educative, Values-Engaged Approach to Evaluating STEM Educational Programs

ERIC Educational Resources Information Center

Greene, Jennifer C.; DeStefano, Lizanne; Burgon, Holli; Hall, Jori

2006-01-01

There is concern that the nation's schools are not preparing students to excel in science, technology, engineering, and mathematics (STEM) fields. At both precollege and postsecondary levels, much effort is needed to create and implement powerful STEM curricula, prepare and support highly qualified teachers, deliver effective instruction, and give…

Medication calculation: the potential role of digital game-based learning in nurse education.

PubMed

Foss, Brynjar; Mordt Ba, Petter; Oftedal, Bjørg F; Løkken, Atle

2013-12-01

Medication dose calculation is one of several medication-related activities that are conducted by nurses daily. However, medication calculation skills appear to be an area of global concern, possibly because of low numeracy skills, test anxiety, low self-confidence, and low self-efficacy among student nurses. Various didactic strategies have been developed for student nurses who still lack basic mathematical competence. However, we suggest that the critical nature of these skills demands the investigation of alternative and/or supplementary didactic approaches to improve medication calculation skills and to reduce failure rates. Digital game-based learning is a possible solution because of the following reasons. First, mathematical drills may improve medication calculation skills. Second, games are known to be useful during nursing education. Finally, mathematical drill games appear to improve the attitudes of students toward mathematics. The aim of this article was to discuss common challenges of medication calculation skills in nurse education, and we highlight the potential role of digital game-based learning in this area.

ICT Use in Preschool Science Education: A Case Study of Some Private Nursery Schools in Ekiti State

ERIC Educational Resources Information Center

Oluwadare, Feyisetan Adijatu

2015-01-01

This research reveals ICT uses in Ekiti preschool education and explores this use of ICT for science education. This case study is part of a wider research project concerning the use of Information and Communication Technologies (ICT) for teaching main natural science's concepts and mathematics in early year's classroom. The study was conducted…

Math and Science Scholars (MASS) Program: A Model Program for the Recruitment and Retention of Preservice Mathematics and Science Teachers

ERIC Educational Resources Information Center

Scott, Timothy P.; Milam, Jennifer L.; Stuessy, Carol L.; Blount, Kit Price; Bentz, Adrienne

2006-01-01

The shortage of certified teachers in mathematics and science in Texas classrooms is a major concern and mirrors national tends. Dramatic increases in shortages of teachers have stimulated the design of new certification programs that recruit and place teachers in classrooms as quickly as possible (Texas Center for Educational Research, 1999).…

Teachers' Understanding of and Concerns about Mathematical Modeling in the Common Core Standards

ERIC Educational Resources Information Center

Wolf, Nancy Butler

2013-01-01

Educational reform is most likely to be successful when teachers are knowledgeable about the intended reform, and when their concerns about the reform are understood and addressed. The Common Core State Standards (CCSS) is an effort to establish a set of nationwide expectations for students and teachers. This study examined teacher understanding…

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

NASA Astrophysics Data System (ADS)

Meisel, Edna Marie

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

Correlating Parental Involvement and Mathematics Achievement of African American Eighth-Grade Students

ERIC Educational Resources Information Center

Oyerinde, Bolanle Adenike

2014-01-01

Low involvement of African American parents in middle school education is a concern in a school district in the southeastern United States. The purpose of this quantitative study was to investigate the relationships between the explanatory variables of parental involvement, socioeconomic status, and level of education, and the achievement of…

The Direction and Autonomy of Interdisciplinary Study and Research Paths in Teacher Education

ERIC Educational Resources Information Center

Rasmussen, Klaus

2016-01-01

This paper presents a case study of didactic infrastructures to direct Study and Research Paths (SRP) in teacher education within the context of interdisciplinary inquiry. The disciplines of school mathematics and school biology, and their didactics, are made to interconnect through the investigation of a generating question concerning the illness…

Community Colleges Respond to Demand for STEM Graduates

ERIC Educational Resources Information Center

Mangan, Katherine

2013-01-01

As concerns grow over labor shortages in science, technology, engineering, and mathematics fields, the colleges ready students for jobs or more education. Educators are also looking to community colleges to fill the gap. With their high enrollments of minority and low-income students, community colleges are obvious places to recruit a diverse work…

Using Factors of Socioeconomic Status, Family Support, and Academic Preparation to Explain the Black-White Gap in Mathematics Achievement and Participation

ERIC Educational Resources Information Center

Watson, Charity Noel

2012-01-01

The Black-White achievement and participation gap in mathematics is a major concern for educators in America. In order to understand why these gaps exist and have continued to exist over the years, it is important to identify some of the factors that may contribute to them. However, one of the limitations in identifying factors that influence the…

Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences

PubMed Central

Bucksch, Alexander; Atta-Boateng, Acheampong; Azihou, Akomian F.; Battogtokh, Dorjsuren; Baumgartner, Aly; Binder, Brad M.; Braybrook, Siobhan A.; Chang, Cynthia; Coneva, Viktoirya; DeWitt, Thomas J.; Fletcher, Alexander G.; Gehan, Malia A.; Diaz-Martinez, Diego Hernan; Hong, Lilan; Iyer-Pascuzzi, Anjali S.; Klein, Laura L.; Leiboff, Samuel; Li, Mao; Lynch, Jonathan P.; Maizel, Alexis; Maloof, Julin N.; Markelz, R. J. Cody; Martinez, Ciera C.; Miller, Laura A.; Mio, Washington; Palubicki, Wojtek; Poorter, Hendrik; Pradal, Christophe; Price, Charles A.; Puttonen, Eetu; Reese, John B.; Rellán-Álvarez, Rubén; Spalding, Edgar P.; Sparks, Erin E.; Topp, Christopher N.; Williams, Joseph H.; Chitwood, Daniel H.

2017-01-01

The geometries and topologies of leaves, flowers, roots, shoots, and their arrangements have fascinated plant biologists and mathematicians alike. As such, plant morphology is inherently mathematical in that it describes plant form and architecture with geometrical and topological techniques. Gaining an understanding of how to modify plant morphology, through molecular biology and breeding, aided by a mathematical perspective, is critical to improving agriculture, and the monitoring of ecosystems is vital to modeling a future with fewer natural resources. In this white paper, we begin with an overview in quantifying the form of plants and mathematical models of patterning in plants. We then explore the fundamental challenges that remain unanswered concerning plant morphology, from the barriers preventing the prediction of phenotype from genotype to modeling the movement of leaves in air streams. We end with a discussion concerning the education of plant morphology synthesizing biological and mathematical approaches and ways to facilitate research advances through outreach, cross-disciplinary training, and open science. Unleashing the potential of geometric and topological approaches in the plant sciences promises to transform our understanding of both plants and mathematics. PMID:28659934

The role of mathematics for physics teaching and understanding

NASA Astrophysics Data System (ADS)

Pospiech, Gesche; Eylon, BatSheva; Bagno, Esther; Lehavi, Yaron; Geyer, Marie-Annette

2016-05-01

-1That mathematics is the "language of physics" implies that both areas are deeply interconnected, such that often no separation between "pure" mathematics and "pure" physics is possible. To clarify their interplay a technical and a structural role of mathematics can be distinguished. A thorough understanding of this twofold role in physics is also important for shaping physics education especially with respect to teaching the nature of physics. Herewith the teachers and their pedagogical content knowledge play an important role. Therefore we develop a model of PCK concerning the interplay of mathematics and physics in order to provide a theoretical framework for the views and teaching strategies of teachers. In an exploratory study four teachers from Germany and four teachers from Israel have been interviewed concerning their views and its transfer to teaching physics. Here we describe the results from Germany. Besides general views and knowledge held by all or nearly all teachers we also observe specific individual focus depending on the teachers' background and experiences. The results fit well into the derived model of PCK.

Public Higher Education Enrollment Forecasting in the State of Ohio.

ERIC Educational Resources Information Center

Render, Barry

With the growing concern for the development of good mathematical education planning models, few states have developed the type of enrollment projection systems that they would consider to be ideal. The primary objectives of this research project were to develop, construct, and document an enrollment forecasting system for use by the Ohio Board of…

Marketing the "Broad Line": Invitations to STEM Education in a Swedish Recruitment Campaign

ERIC Educational Resources Information Center

Andree, Maria; Hansson, Lena

2013-01-01

In many Western societies, there is a concern about the tendency of young people not choosing Science, Technology, Engineering, and Mathematics (STEM) education and occupations. In response, different initiatives have been launched. If one believes that science should have a place in more young people's lives, an important question is to what…

One Is Not Born a Mathematician: In Conversation with Vasily Davydov

ERIC Educational Resources Information Center

Fellus, Osnat; Biton, Yaniv

2017-01-01

That mathematics education has been one of the central concerns of educational systems worldwide is no secret. It is also an established consensus that as far back as eighty years ago, Russian psychologists such as Vygotsky, Luria, Meshcheryakov, and Davydov have pioneered work that contributed to the understanding of teaching and learning and…

It's Not What You Know, It's Where You Know It: Lessons from CPD in STEM Education

ERIC Educational Resources Information Center

Monk, Martin

2008-01-01

In technologically advanced countries, there is a general concern over the recruitment and retention to science, technology, engineering and mathematics (STEM). In the UK, there are much commented upon shortages of qualified STEM secondary teachers. In an effort to produce change, Gatsby Technical Education Projects (GTEP) was set up specifically…

Differences Within: A Comparative Analysis of Women in the Physical Sciences--Motivation and--Background Factors

ERIC Educational Resources Information Center

Dabney, Katherine Patricia Traudel

2012-01-01

Science, technology, engineering, and mathematics (STEM) education has become a critical focus in the United States due to economic concerns and public policy (National Academy of Sciences, 2007; U.S. Department of Education, 2006). Part of this focus has been an emphasis on encouraging and evaluating career choice and persistence factors among…

Balancing Career and Technical Education with Academic Coursework: The Consequences for Mathematics Achievement in High School

ERIC Educational Resources Information Center

Bozick, Robert; Dalton, Benjamin

2013-01-01

Federal legislation has attempted to move career and technical education (CTE) from a segregated component of the high school curriculum to an integrated element that jointly improves both academic and career readiness. However, concerns remain about the ability of CTE to improve academic learning. Using a nationally representative sample of high…

Gaming as a Platform for the Development of Innovative Problem-Based Learning Opportunities

ERIC Educational Resources Information Center

Echeverri, J. Felipe; Sadler, Troy D.

2011-01-01

The state of education in the United States, particularly in the areas of science, mathematics and technology, has been a consistent source of concern since at least the early 1980s when student performance on the 1986 National Assessment of Educational Progress (NAEP) revealed that science proficiency was lower than comparable measures from the…

La Meme Chose: How Mathematics Can Explain the Thinking of Children and the Thinking of Children Can Illuminate Mathematical Philosophy

NASA Astrophysics Data System (ADS)

Cable, John

2014-01-01

This article offers a new interpretation of Piaget's decanting experiments, employing the mathematical notion of equivalence instead of conservation. Some reference is made to Piaget's theories and to his educational legacy, but the focus in on certain of the experiments. The key to the new analysis is the abstraction principle, which has been formally enunciated in mathematical philosophy but has universal application. It becomes necessary to identity fluid objects (both configured and unconfigured) and configured and unconfigured sets-of-objects. Issues emerge regarding the conflict between philosophic realism and anti-realism, including constructivism. Questions are asked concerning mathematics and mathematical philosophy, particularly over the nature of sets, the wisdom of the axiomatic method and aspects of the abstraction principle itself.

Mastery of Simple Probability Ideas Among G.C.E. Ordinary Level Mathematics Candidates

ERIC Educational Resources Information Center

Wood, R.; Brown, M.

1976-01-01

Questions concerning probability which appeared on the General Certificate of Education test are analyzed in terms of the processes required to answer them. The relationships between these processes and cognitive development are discussed. (SD)

Research. [SITE 2001 Section].

ERIC Educational Resources Information Center

McAlister, Kim, Ed.; Curtis, Reagan, Ed.

This document contains the papers on research from the SITE (Society for Information Technology & Teacher Education) 2001 conference. Topics covered include: concerns of administrators and teachers in the diffusion of information technology; preservice elementary mathematics teachers' computer self efficacy, attitudes, and perceptions;…

Valid Issues but Limited Scope: A Response to Kitchen and Berk's Research Commentary on Educational Technology

ERIC Educational Resources Information Center

Clements, Douglas H.; Sarama, Julie

2017-01-01

In their Research Commentary, Kitchen and Berk (2016) argue that educational technology may focus only on skills for low-income students and students of color, further limiting their opportunities to learn mathematical reasoning, and thus pose a challenge to realizing standards-based reforms. Although we share the concern about equity and about…

Regular Classroom Teachers' Recognition and Support of the Creative Potential of Mildly Gifted Mathematics Learners

ERIC Educational Resources Information Center

Mhlolo, Michael Kainose

2017-01-01

Post independent reforms in South Africa moved from separate education for the gifted learners to inclusive education in regular classrooms. A specific concern that has been totally ignored since then is whether or not the regular classroom would expand or limit the gifted child's creativity. This study aimed at investigating the extent to which…

Enriching Students' Scientific Thinking through Relational Reasoning: Seeking Evidence in Texts, Tasks, and Talk

ERIC Educational Resources Information Center

Murphy, P. Karen; Firetto, Carla M.; Greene, Jeffrey A.

2017-01-01

As reflected in the Next Generation Science Standards, concerns about the adequacy of education and career preparation in science, technology, engineering, and mathematics (STEM) fields have led to fundamental shifts in the focus of K-12 science education. Such shifts are also highlighted in many of the articles within this special issue, and the…

Science Scores in Title I Elementary Schools in North Georgia: A Project Study

ERIC Educational Resources Information Center

Frias, Ramon

2013-01-01

The No Child Left Behind Act (NCLB)'s emphasis of reading, language arts, and mathematics (RLA&M) and its de-emphasis of science has been a source of great concern among educators. Through an objectivist and constructionist framework, this study explored the unforeseen effects of the NCLB on public science education among Title I (TI) and…

Developing Perspective: What Can We Learn about Education from Lower-Income Countries? The Claremont Letter. Volume 5, Issue 1

ERIC Educational Resources Information Center

Luschei, Thomas

2010-01-01

To the extent that Americans look abroad for lessons about education, they primarily concern themselves with wealthy nations that perform well on international tests like the Programme for International Student Assessment (PISA) and the Trends in International Mathematics and Science Study (TIMSS). In this paper, the author argues that Americans…

Seeking mathematics success for college students: a randomized field trial of an adapted approach

NASA Astrophysics Data System (ADS)

Gula, Taras; Hoessler, Carolyn; Maciejewski, Wes

2015-11-01

Many students enter the Canadian college system with insufficient mathematical ability and leave the system with little improvement. Those students who enter with poor mathematics ability typically take a developmental mathematics course as their first and possibly only mathematics course. The educational experiences that comprise a developmental mathematics course vary widely and are, too often, ineffective at improving students' ability. This trend is concerning, since low mathematics ability is known to be related to lower rates of success in subsequent courses. To date, little attention has been paid to the selection of an instructional approach to consistently apply across developmental mathematics courses. Prior research suggests that an appropriate instructional method would involve explicit instruction and practising mathematical procedures linked to a mathematical concept. This study reports on a randomized field trial of a developmental mathematics approach at a college in Ontario, Canada. The new approach is an adaptation of the JUMP Math program, an explicit instruction method designed for primary and secondary school curriculae, to the college learning environment. In this study, a subset of courses was assigned to JUMP Math and the remainder was taught in the same style as in the previous years. We found consistent, modest improvement in the JUMP Math sections compared to the non-JUMP sections, after accounting for potential covariates. The findings from this randomized field trial, along with prior research on effective education for developmental mathematics students, suggest that JUMP Math is a promising way to improve college student outcomes.

Assessing Student Achievement in the States. The First Report of the National Academy of Education Panel on the Evaluation of the NAEP Trial State Assessment: 1990 Trial State Assessment.

ERIC Educational Resources Information Center

National Academy of Education, Stanford, CA.

This report presents findings of the National Academy of Education Panel on the Evaluation of the Trial State Assessment (TSA) concerning the 1990 National Assessment of Educational Progress (NAEP) mathematics TSA program. The Panel's recommendations regarding the continuation of TSAs for review by the Congress, states, and Executive Branch of the…

The education of perception.

PubMed

Goldstone, Robert L; Landy, David H; Son, Ji Y

2010-04-01

Although the field of perceptual learning has mostly been concerned with low- to middle-level changes to perceptual systems due to experience, we consider high-level perceptual changes that accompany learning in science and mathematics. In science, we explore the transfer of a scientific principle (competitive specialization) across superficially dissimilar pedagogical simulations. We argue that transfer occurs when students develop perceptual interpretations of an initial simulation and simply continue to use the same interpretational bias when interacting with a second simulation. In arithmetic and algebraic reasoning, we find that proficiency in mathematics involves executing spatially explicit transformations to notational elements. People learn to attend mathematical operations in the order in which they should be executed, and the extent to which students employ their perceptual attention in this manner is positively correlated with their mathematical experience. For both science and mathematics, relatively sophisticated performance is achieved not by ignoring perceptual features in favor of deep conceptual features, but rather by adapting perceptual processing so as to conform with and support formally sanctioned responses. These "rigged-up perceptual systems" offer a promising approach to educational reform. Copyright © 2009 Cognitive Science Society, Inc.

Developing self-concept instrument for pre-service mathematics teachers

NASA Astrophysics Data System (ADS)

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

2018-01-01

This study aimed to develop self-concept instrument for undergraduate students of mathematics education in Palembang, Indonesia. Type of this study was development research of non-test instrument in questionnaire form. A Validity test of the instrument was performed with construct validity test by using Pearson product moment and factor analysis, while reliability test used Cronbach’s alpha. The instrument was tested by 65 undergraduate students of mathematics education in one of the universities at Palembang, Indonesia. The instrument consisted of 43 items with 7 aspects of self-concept, that were the individual concern, social identity, individual personality, view of the future, the influence of others who become role models, the influence of the environment inside or outside the classroom, and view of the mathematics. The result of validity test showed there was one invalid item because the value of Pearson’s r was 0.107 less than the critical value (0.244; α = 0.05). The item was included in social identity aspect. After the invalid item was removed, Construct validity test with factor analysis generated only one factor. The Kaiser-Meyer-Olkin (KMO) coefficient was 0.846 and reliability coefficient was 0.91. From that result, we concluded that the self-concept instrument for undergraduate students of mathematics education in Palembang, Indonesia was valid and reliable with 42 items.

"Reinventing" Techniques for the Estimation of the Area of Irregular Plane Figures: From the Eighteenth Century to the Modern Classroom

ERIC Educational Resources Information Center

Papadopoulos, Ioannis

2010-01-01

The issue of the area of irregular shapes is absent from the modern mathematical textbooks in elementary education in Greece. However, there exists a collection of books written for educational purposes by famous Greek scholars dating from the eighteenth century, which propose certain techniques concerning the estimation of the area of such…

A State Policymaker's STEM Playbook. Promising Practices

ERIC Educational Resources Information Center

Zinth, Jennifer; Goetz, Tami

2016-01-01

Science, technology, engineering and mathematics (STEM) has captured the attention of state policymakers who are concerned about equitable access to high-quality educational experiences and preparing and inspiring students to pursue STEM careers. Yet in many states, STEM policymaking efforts have not achieved their intended return on investment…

The Yellow, Blue and Red Book. A Collection of Short-Term Activities Developed by and for Teachers K-6, to Help Expand Students' Awareness of Traditional Sex Role Stereotyping.

ERIC Educational Resources Information Center

Highline Public Schools, Seattle, WA.

This teacher's guide contains short-term activities aimed at expanding K-6 grade students' awareness of attitudes concerning traditional sex-role stereotyping. Subject areas are language arts, social studies, career education, mathematics, and physical education. Activities are divided into 10-20 minute, 20-40 minute, and 40 minute plus…

An introduction to inferentialism in mathematics education

NASA Astrophysics Data System (ADS)

Derry, Jan

2017-12-01

This paper introduces the philosophical work of Robert Brandom, termed inferentialism, which underpins this collection and argues that it offers rich theoretical resources for reconsidering many of the challenges and issues that have arisen in mathematics education. Key to inferentialism is the privileging of the inferential over the representational in an account of meaning; and of direct concern here is the theoretical relevance of this to the process by which learners gain knowledge. Inferentialism requires that the correct application of a concept is to be understood in terms of inferential articulation, simply put, understanding it as having meaning only as part of a set of related concepts. The paper explains how Brandom's account of the meaning is inextricably tied to freedom and it is our responsiveness to reasons involving norms which makes humans a distinctive life form. In an educational context norms, function to delimit the domain in which knowledge is acquired and it is here that the neglect of our responsiveness to reasons is significant, not only for Brandom but also for Vygotsky, with implications for how knowledge is understood in mathematics classrooms. The paper explains the technical terms in Brandom's account of meaning, such as deontic scorekeeping, illustrating these through examples to show how the inferential articulation of a concept, and thus its correct application, is made visible. Inferentialism fosters the possibility of overcoming some of the thorny old problems that have seen those on the side of facts and disciplines opposed to those whose primary concern is the meaning making of learners.

Pre-service mathematics teachers' attitudes towards learning English: A case study in Yogyakarta

NASA Astrophysics Data System (ADS)

Setyaningrum, Wahyu

2017-08-01

This study investigated attitudes of pre-service mathematics teachers towards English as one of the subject at the university. It is a qualitative study in which questionnaire and face-to-face interview were employed to collect the data. The participants of this study were sixty students of mathematics education department at one of the university in Yogyakarta. The main research question was concern with how pre-service mathematics teachers perceive the importance of learning English. This study found that most of the participants perceive English as an important language that should be acquired by mathematics teachers. Their beliefs about the importance of English were mostly due to instrumental orientation rather than integrative orientation, such as getting a good job, getting a scholarship and understanding learning sources that are written in English. The data also revealed some obstacles faced by pre-service mathematics teachers in learning English as an additional language for them. The main obstacles were related to the differences between English for mathematics and English in daily life including its vocabulary and structure. Most of the participants argued that several mathematics vocabularies had precise meaning and different from daily English. In addition, they found difficult to understand some sentences used in the paper journal due to its structure. This study therefore, provided an insight into the pre-service mathematics teachers' perception and obstacles when learning English that could be use in improving pre-service teachers' education.

Physical education and academic achievement in elementary school: data from the early childhood longitudinal study.

PubMed

Carlson, Susan A; Fulton, Janet E; Lee, Sarah M; Maynard, L Michele; Brown, David R; Kohl, Harold W; Dietz, William H

2008-04-01

We examined the association between time spent in physical education and academic achievement in a longitudinal study of students in kindergarten through fifth grade. We used data from the Early Childhood Longitudinal Study, Kindergarten Class of 1998 to 1999, which employed a multistage probability design to select a nationally representative sample of students in kindergarten (analytic sample = 5316). Time spent in physical education (minutes per week) was collected from classroom teachers, and academic achievement (mathematics and reading) was scored on an item response theory scale. A small but significant benefit for academic achievement in mathematics and reading was observed for girls enrolled in higher amounts (70-300 minutes per week) of physical education (referent: 0-35 minutes per week). Higher amounts of physical education were not positively or negatively associated with academic achievement among boys. Among girls, higher amounts of physical education may be associated with an academic benefit. Physical education did not appear to negatively affect academic achievement in elementary school students. Concerns about adverse effects on achievement may not be legitimate reasons to limit physical education programs.

Astronomy and Mathematics Education

NASA Astrophysics Data System (ADS)

Ros, Rosa M.

There are many European countries where Astronomy does not appear as a specific course on the secondary school. In these cases Astronomy content can be introduced by means of other subjects. There are some astronomical topics within the subject of Physics but this talk concerns introducing Astronomy in Mathematics classes. Teaching Astronomy through Mathematics would result in more exposure than through Physics as Mathematics is more prevalent in the curriculum. Generally it is not easy to motivate students in Mathematics but they are motivated to find out more about the universe and Astronomy current events than appears in the media. This situation can be an excellent introduction to several mathematics topics. The teachers in secondary and high school can use this idea in order to present more attractive mathematics courses. In particular some different examples will be offered regarding * Angles and spherical coordinates considering star traces * Logarithms and visual magnitudes * Plane trigonometry related orbital movements * Spherical trigonometry in connection with ecliptic obliquity * Conic curves related to sundial at several latitudes Some students do not enjoy studying Mathematics but they can be attracted by practical situations using Applied Mathematics: Astronomy is always very attractive to teenagers.

Management Challenges in an Information Communication Technology (ICT) Network in Rural Schools

ERIC Educational Resources Information Center

Mihai, Maryke; Nieuwenhuis, Jan

2015-01-01

This study concerns the management of an interactive whiteboard (IWB) network started in April 2008 in Mpumalanga, with a leading school partnered with several disadvantaged schools, transmitting lessons in Mathematics and Science. Many educational institutions try to provide learners with better learning opportunities by equipping schools with…

Preparing for Algebra by Building Fraction Sense

ERIC Educational Resources Information Center

Rodrigues, Jessica; Dyson, Nancy I.; Hansen, Nicole; Jordan, Nancy C.

2016-01-01

Fractions are troublesome for many children, especially students with learning difficulties and disabilities in mathematics. To address this serious educational concern, this article recommends the use of number lines to build fraction sense. Math activities that center on the number line build fraction concepts as early as third grade. A number…

Adult Literacy and Basic Skills Unit (ALBSU) Newsletter, 1992.

ERIC Educational Resources Information Center

Adult Literacy and Basic Skills Unit (ALBSU) Newsletter, 1992

1992-01-01

This document consists of the four issues of this serial issued during 1992. Issue number 44 contains five articles: "Concerns and Fears" (issues raised by the proposed Further and Higher Education Bill in Britain); "Speaking Out for Wordpower" (Kay); "An Open Door to Mathematics" (Hay); "Literacy Problems and…

Investigations in Mathematics Education. Volume 20, Number 3.

ERIC Educational Resources Information Center

Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed.

1987-01-01

This issue contains abstracts and critical comments for 10 papers. The reports are concerned with: (1) children's inferencing behavior; (2) instruction related to problem-solving and basic skills for seventh grade students; (3) remediation of children's subtraction errors; (4) investigation of young children's academic arithmetic contexts; (5)…

Framing the structural role of mathematics in physics lectures: A case study on electromagnetism

NASA Astrophysics Data System (ADS)

Karam, Ricardo

2014-06-01

Physics education research has shown that students tend to struggle when trying to use mathematics in a meaningful way in physics (e.g., mathematizing a physical situation or making sense of equations). Concerning the possible reasons for these difficulties, little attention has been paid to the way mathematics is treated in physics instruction. Starting from an overall distinction between a technical approach, which involves an instrumental (tool-like) use of mathematics, and a structural one, focused on reasoning about the physical world mathematically, the goal of this study is to characterize the development of the latter in didactic contexts. For this purpose, a case study was conducted on the electromagnetism course given by a distinguished physics professor. The analysis of selected teaching episodes with the software Videograph led to the identification of a set of categories that describe different strategies used by the professor to emphasize the structural role of mathematics in his lectures. As a consequence of this research, an analytic tool to enable future comparative studies between didactic approaches regarding the way mathematics is treated in physics teaching is provided.

The Development and Implementation of an Inquiry-Based Poster Project on Sustainability in a Large Non-Majors Environmental Science Course

ERIC Educational Resources Information Center

Schmitt-Harsh, Mikaela; Harsh, Joseph A.

2013-01-01

In the past decade, systematic studies have indicated a significant regression in scientific literacy in nonscience students and students across science, technology, engineering, and mathematics disciplines in higher education. Of particular concern, evaluations of introductory lecture-based undergraduate courses have indicated deficiencies in…

Forces and Issues Related to Curriculum and Instruction, 7-12

ERIC Educational Resources Information Center

Osborne, Alan R.; Crosswhite, F. Joe

1970-01-01

This unit is divided into three chapters concerned with Emerging Issues: 1890-1920," Mathematics Education on the Defensive: 1920-45," and Reform, Revolution, and Reaction." Of particular interest are discussions of the aims and impact of the Report of the Committee of Ten," The 1923 Report" and the Cambridge Report.…

Elementary Environmental Learning Packet K-3, Third Revised Edition. [Primary CEL Blocks, Student Activity Cards].

ERIC Educational Resources Information Center

Brevard County School Board, Cocoa, FL.

This environmental education program consists of two levels: primary and intermediate. The learning materials are activity based and incorporate process and subject area skills with knowledge and concern for the environment. The program is also interdisciplinary including activities and skills from art, language arts, mathematics, music, science,…

All Aboard for Space.

ERIC Educational Resources Information Center

National Aeronautics and Space Administration, Kennedy Space Center, FL. John F. Kennedy Space Center.

This book is designed as a resource for teachers and parents concerned with early childhood education. It is hoped that the ideas and activities presented herein will serve in the creation of a space science and mathematics curriculum that is both child-centered and exciting. The basic philosophy for this curriculum is that of Piaget. This…

Sums and Products of Jointly Distributed Random Variables: A Simplified Approach

ERIC Educational Resources Information Center

Stein, Sheldon H.

2005-01-01

Three basic theorems concerning expected values and variances of sums and products of random variables play an important role in mathematical statistics and its applications in education, business, the social sciences, and the natural sciences. A solid understanding of these theorems requires that students be familiar with the proofs of these…

Discussing Virtual Tools that Simulate Probabilities: What Are the Middle School Teachers' Concerns?

ERIC Educational Resources Information Center

Savard, Annie; Freiman, Viktor; Theis, Laurent; Larose, Fançois

2013-01-01

Mathematics teachers, researchers and specialists in educational technology from Quebec, Canada developed virtual tools that make interactive simulations of games of chance. These tools were presented to a group of teachers from New Brunswick through workshops and they then got to test and validate them with their students. Semi-structured…

Pre-Service Teachers and Numeracy in and beyond the Classroom

ERIC Educational Resources Information Center

Leder, Gilah C.; Forgasz, Helen J.; Kalkhoven, Natalie; Geiger, Vince

2015-01-01

Data from a pilot study concerned with pre-service teachers' perceptions of the numeracy demands on Australian teachers are reported. The sample comprised 211 students enrolled in pre-service teacher education courses at a large Australian university. While most recognised the importance of mathematics and its applications in everyday life, less…

Defining College-Level Skills. Report of the Task Force on Definition of College-Level Skills.

ERIC Educational Resources Information Center

Minnesota Higher Education Coordinating Board, St. Paul.

Recommendations concerning the reading, writing, and mathematics skills that are needed by students entering degree programs in Minnesota postsecondary institutions are offered by a Minnesota Higher Education Coordinating Board task force. In addition to describing reading skills that students need for most college degree programs, conditions…

Evaluating Long-Term Complex Professional Development: Using a Variation of the Cohort Control Design

ERIC Educational Resources Information Center

Sample Mcmeeking, Laura B.; Cobb, R. Brian; Basile, Carole

2010-01-01

This paper introduces a variation on the post-test only cohort control design and addresses questions concerning both the methodological credibility and the practical utility of employing this design variation in evaluations of large-scale complex professional development programmes in mathematics education. The original design and design…

Latino Faculty in STEM Disciplines: Motivation to Engage in Research Activities

ERIC Educational Resources Information Center

Lechuga, Vicente M.

2012-01-01

The scarcity of underrepresented faculty members in the science, technology, engineering, and mathematics (STEM) disciplines is an issue of great concern to education researchers and scholars alike. Despite their low representation, many minority faculty are able to remain motivated, even when facing barriers due to their ethnicity. I present…

America's Academic Future: A Report of the Presidential Young Investigator Colloquium on U.S. Engineering, Mathematics, and Science Education for the Year 2010 and Beyond (Arlington, Virginia, November 4-6, 1990).

ERIC Educational Resources Information Center

National Science Foundation, Washington, DC. Directorate for Education and Human Resources.

A colloquium of 53 Presidential Young Investigators (PYIs), nominated by their institutions and selected by the National Science Foundation, was charged with the task of preparing a report of their vision and recommendations concerning the role of U.S. higher education in the year 2010 and beyond to assure high quality precollege and graduate…

College Bound in Middle School & High School? How Math Course Sequences Matter

ERIC Educational Resources Information Center

Finkelstein, Neal; Fong, Anthony; Tiffany-Morales, Juliet; Shields, Patrick; Huang, Min

2012-01-01

As California competes for jobs in an increasingly competitive global economy, the state faces a looming shortage of highly educated workers (PPIC, 2012). For a variety of reasons, the need for individuals with degrees in science, technology, engineering, and mathematics (STEM) is of particular concern. Nowhere is this more true than in the…

Practical Aspects of Drug Calculations. Mathematics Education Centre. Report No. 24.

ERIC Educational Resources Information Center

Sullivan, Peter; Clarkson, P., Ed.

Concern has been expressed in recent years about the accuracy of medication administered by nurses in Papua New Guinean hospitals. Attention has been focused on the calculation of the drug dosages. This paper discusses the processes involved in the administration of medication, and reports on a study to evaluate the competence of student nurses at…

Analysis of Student Activity in Web-Supported Courses as a Tool for Predicting Dropout

ERIC Educational Resources Information Center

Cohen, Anat

2017-01-01

Persistence in learning processes is perceived as a central value; therefore, dropouts from studies are a prime concern for educators. This study focuses on the quantitative analysis of data accumulated on 362 students in three academic course website log files in the disciplines of mathematics and statistics, in order to examine whether student…

Integrating Cost Engineering and Project Management in a Junior Engineering Economics Course and a Senior Capstone Project Design Course

ERIC Educational Resources Information Center

Tickles, Virginia C.; Li, Yadong; Walters, Wilbur L.

2013-01-01

Much criticism exists concerning a lack of focus on real-world problem-solving in the science, technology, engineering and mathematics (STEM) infrastructures. Many of these critics say that current educational infrastructures are incapable in preparing future scientists and engineers to solve the complex and multidisciplinary problems this society…

A Comparison of Educational "Value-Added" Methodologies for Classifying Teacher Effectiveness: Value Tables vs. Covariate Regression

ERIC Educational Resources Information Center

Dwyer, Theodore J.

2016-01-01

There is a great deal of concern regarding teacher impacts on student achievement being used as a substantial portion of a teacher's performance evaluation. This study investigated the degree of concordance and discordance between mathematics teacher ranking using value tables and covariate regression, which have both been used as measures for…

Academic Differentiation, School Achievement and School Violence in the USA and South Korea

ERIC Educational Resources Information Center

Akiba, Motoko; Han, Seunghee

2007-01-01

Whilst school violence is a major public concern and a focus of educational reforms both in the USA and South Korea, few studies have comparatively examined the rates of school violence and school factors associated with them. Analysing nationally-representative data from eighth graders, their mathematics teachers and principals in 150 South…

Reinventing Solutions to Systems of Linear Differential Equations: A Case of Emergent Models Involving Analytic Expressions

ERIC Educational Resources Information Center

Rasmussen, Chris; Blumenfeld, Howard

2007-01-01

An enduring challenge in mathematics education is to create learning environments in which students generate, refine, and extend their intuitive and informal ways of reasoning to more sophisticated and formal ways of reasoning. Pressing concerns for research, therefore, are to detail students' progressively sophisticated ways of reasoning and…

An Open Letter to President Barack Obama from C. Frederick Risinger

ERIC Educational Resources Information Center

Risinger, C. Frederick

2010-01-01

This article presents an open letter to President Barack Obama written by the author to express his concerns about the increasing emphasis on mathematics and science education along with the continued emphasis on reading/language arts while a fourth major curriculum area--social studies--is being marginalized by lack of funding and reduced…

Teaching Computation in Primary School without Traditional Written Algorithms

ERIC Educational Resources Information Center

Hartnett, Judy

2015-01-01

Concerns regarding the dominance of the traditional written algorithms in schools have been raised by many mathematics educators, yet the teaching of these procedures remains a dominant focus in in primary schools. This paper reports on a project in one school where the staff agreed to put the teaching of the traditional written algorithm aside,…

The Equity Ethic: Black and Latinx College Students Reengineering Their STEM Careers toward Justice

ERIC Educational Resources Information Center

McGee, Ebony; Bentley, Lydia

2017-01-01

This article describes the study of career aspirations of high-achieving black and Latinx undergraduate STEM (science, technology, engineering, mathematics) students and uncovers a concern for helping others--an equity ethic. A lack of racial and ethnic diversity persists in STEM education and industries; consequently, the inspiration of black and…

Helping Struggling Students in Introductory Biology: A Peer-Tutoring Approach That Improves Performance, Perception, and Retention

ERIC Educational Resources Information Center

Batz, Zachary; Olsen, Brian J.; Dumont, Jonathan; Dastoor, Farahad; Smith, Michelle K.

2015-01-01

The high attrition rate among science, technology, engineering, and mathematics (STEM) majors has long been an area of concern for institutions and educational researchers. The transition from introductory to advanced courses has been identified as a particularly "leaky" point along the STEM pipeline, and students who struggle early in…

Teacher Enhancement Institute

NASA Technical Reports Server (NTRS)

Marshall-Bradley, Tina

1994-01-01

During the 1980's, a period of intense concern over educational quality in the United States, few indicators of U.S. student achievement garnered the interest of policy makers and pundits as successfully as the results of international testing in mathematics and science. This concern was so great that as a part of the Goals 2000 initiative, President George Bush indicated that 'By the year 2000, U.S. students should be first in the world in mathematics and science.' The Clinton Administration is placing a major emphasis, not only on rigorous academic standards and creating a new system for assessing students' progress, but also including professional development as a major focus. The argument being that teachers need more sustained, intensive training to prepare them to teach to higher standards. Executive order 12821 mandates that national laboratories 'assist in the mathematics and science education of our Nation's students, teachers, parents and the public by establishing programs at their agency to provide for training elementary and secondary school teachers to improve their knowledge of mathematics and science'. These and other issues led to the development of ideas for a project that addresses the need for excellence in mathematics, science and technology instruction. In response to these initiatives the NASA/LaRC Teacher Enhancement Institute was proposed. The TEI incorporated systemic reform perspectives, enhanced content knowledge for teachers, and teacher preparation. Emphasis was also placed on recruiting those educators who teach in impoverished urban school districts with at-risk student populations who have been traditionally under represented in science, mathematics, technology and engineering. Participants in the Teacher Enhancement Institute were 37 teachers from grades K-8, teaching in Region 2 in the state of Virginia, as well as 2 preservice teachers from Norfolk State University and one teacher from Dublin, Virginia, where a Science/Mathematics model school has been established. Teachers selected for this project represented school systems where income levels are extremely low, and students served tend not to receive innovative instruction in mathematics and science and their use of technology is limited. The Teacher Enhancement Institute contained several features, that when combined, allowed for a unique experience. Some of these features included local teachers, administrators and school board members as presenters, instruction and use of technology every day, tours of select features of the research facility, briefings by NASA/LaRC scientists, engineers and researchers as well as individuals from the Continuous Electron Beam Accelerator Facility (CEBAF). Another unique feature of this program is to have participants convene on three separate occasions throughout the academic year to discuss strategies for information dissemination and implementation results. Teachers' attitudes towards the use of technology, their ability to develop lessons using technology and their ability to develop lessons using information obtained through TEI were assessed using instruments developed by TEI summer faculty members. Data from these instruments were analyzed and reported in a final report submitted to the director of the Office of Education.

Kepler's mathematization of Cosmology

NASA Astrophysics Data System (ADS)

Field, Judith V.

The paper concerns with mathematical knowledge of Johannes Kepler. A part of the paper describes the mathematical education of Kepler which includes the Euclidean geometry and texts by Ptolemy. The first He knew from the Proclus' Commentary which was published in 1533. The author is pointing out that Kepler's epistemology was close to Plato's. The "polyhedral archetype" is discussed in detail. The greatest error was in the case of Mercury (~20%) Kepler's reaction was otherwise absolutely what one would exopect of a theoretician in the twentieth century: he suggested that better observations would imoprouve matter. The author make an analogy with modern discussions on metal abundances in the outer layers of old stars. The author is mentioning also that the Kepler's version of Copernicus' system is noticeably different from Copernicus' original one, including important improvements.

Industry-Education Partnerships: Bridging the Gap Between the Workplace and the Classroom

NASA Astrophysics Data System (ADS)

Harpole, S. H.

2004-12-01

Across the nation, business and industry are increasingly concerned about the quality of today's workforce and are issuing policy statements on both teacher preparation and teacher enhancement. Educational partnerships with industry are critical to the economic growth of the nation, particularly in rural areas where 31 percent of the nation's public schools are located. Through quality learning experiences that result from research/industry internships, teachers can better prepare for the 21st century workforce, become more aware of career opportunities, and emphasize the importance of preparation in science, technology, engineering and mathematics. To provide a model for successful industry-education partnerships, Mississippi State University is building on projects funded by the National Science Foundation, other funding agencies, and private foundations involving research/industry experiences for teachers. Industry-Education Partnerships: A Model for the Teacher Professional Continuum (NSF ESI-0353441) is developing a learning community model that spans the education continuum, connecting education and industry while focusing on preparing students to enter a workplace based on a global economy and researching the factors that contribute to successful partnerships. Research/work experiences will be provided to science, technology, engineering and mathematics (STEM) participants covering the teacher continuum.

Sami Culture and Values: A Study of the National Mathematics Exam for the Compulsory School in Norway

ERIC Educational Resources Information Center

Fyhn, Anne Birgitte

2013-01-01

Norway ratified the ILO convention 169 concerning indigenous and tribal people in independent countries in 1990. In accordance with the convention the education programs for the Sami shall address their value systems and their cultural aspirations. Our aim is to investigate the implementation of this convention. The focus is on how Sami values are…

Social Justice through Quantitative Literacy: A Course Connecting Numeracy, Engaged Citizenship, and a Just Society

ERIC Educational Resources Information Center

Root, Rob

2009-01-01

Concern in the United States for adequate public school education in mathematics dates back at least to the response to Sputnik in 1957, but at that time focused on preparing a cadre of students for quantitatively demanding careers in science and engineering. More recently, however, there has been increasing appreciation of the value of broadly…

Are You Ready to Teach Secondary Mathematics in the 21st Century? A Study of Preservice Teachers' Digital Game Design Experience

ERIC Educational Resources Information Center

Li, Qing; Lemieux, Collette; Vandermeiden, Elise; Nathoo, Shahista

2013-01-01

This research study examines preservice teachers' experiences of learning through game design. In particular, we investigate how their perceptions of digital games have evolved through the process of designing and building their own educational games. We are also concerned with the knowledge and reasoning skills that preservice teachers…

Pictorial Representations of Simple Arithmetic Problems Are Not Always Helpful: A Cognitive Load Perspective

ERIC Educational Resources Information Center

van Lieshout, Ernest C. D. M.; Xenidou-Dervou, Iro

2018-01-01

At the start of mathematics education children are often presented with addition and subtraction problems in the form of pictures. They are asked to solve the problems by filling in corresponding number sentences. One type of problem concerns the representation of an increase or a decrease in a depicted amount. A decrease is, however, more…

The Role of Students' Attitudes and Test-Taking Motivation on the Validity of College Institutional Accountability Tests: A Path Analytic Model

ERIC Educational Resources Information Center

Zilberberg, Anna; Finney, Sara J.; Marsh, Kimberly R.; Anderson, Robin D.

2014-01-01

Given worldwide prevalence of low-stakes testing for monitoring educational quality and students' progress through school (e.g., Trends in International Mathematics and Science Study, Program for International Student Assessment), interpretability of resulting test scores is of global concern. The nonconsequential nature of low-stakes tests…

Convergence Properties of a Class of Probabilistic Adaptive Schemes Called Sequential Reproductive Plans. Psychology and Education Series, Technical Report No. 210.

ERIC Educational Resources Information Center

Martin, Nancy

Presented is a technical report concerning the use of a mathematical model describing certain aspects of the duplication and selection processes in natural genetic adaptation. This reproductive plan/model occurs in artificial genetics (the use of ideas from genetics to develop general problem solving techniques for computers). The reproductive…

Early Urban Field Experiences for Prospective Teachers: A Case Study of Multicultural Field Placements through a University-Based Preservice STEM Teacher Program

ERIC Educational Resources Information Center

Segal, Eden H.

2011-01-01

Educational and political leaders have expressed concern about racial and ethnic disparities in students' readiness for postsecondary study and careers in science, technology, engineering, and mathematics (STEM). A lack of preparedness of STEM teachers in high-need urban districts, which serve predominantly low-income minority students, is often…

A Cost-Effective Strategy for Integrating Technology into the Advanced and Remedial Mathematics Curriculum in the Community College.

ERIC Educational Resources Information Center

Johnson, Marvin L.

Technology can be an effective educational device if it is part of a well-conceived plan blending together other factors that also positively influence achievement. The body of research documenting the benefits of integrating technology into academic programs grows each day, particularly concerning the use of calculators and computers in the…

Educational Policy or Practice? Traversing the Conceptual Divide between Subject Knowledge, Pedagogy and Teacher Identity in England

ERIC Educational Resources Information Center

Woolhouse, Clare; Cochrane, Matt

2015-01-01

This research paper is framed by concerns about recent UK Government policy regarding the training of mathematics and science teachers in England and discusses how two cohorts of pre-service teachers negotiated the development of a professional identity while undertaking subject-specific training. The data reported upon were garnered in two ways;…

Delving into the Nature of Problem Solving Processes in a Dynamic Geometry Environment: Different Technological Effects on Cognitive Processing

ERIC Educational Resources Information Center

Kuzle, Ana

2017-01-01

Students regularly struggle with mathematical tasks, particularly those concerning non-routine problems in geometry. Although educators would like for their learners to transfer their knowledge to non-routine and real-life situations, students run into a number of difficulties. The goal of this exploratory study was to analyze three participants'…

Using Technology to Promote Mathematical Discourse Concerning Women in Mathematics

ERIC Educational Resources Information Center

Phy, Lyn

2008-01-01

This paper discusses uses of technology to facilitate mathematical discourse concerning women in mathematics. Such a topic can be introduced in various traditional courses such as algebra, geometry, trigonometry, probability and statistics, or calculus, but it is not included in traditional textbooks. Through the ideas presented here, you can…

Social activity method (SAM): A fractal language for mathematics

NASA Astrophysics Data System (ADS)

Dowling, Paul

2013-09-01

In this paper I shall present and develop my organisational language, social activity method (SAM), and illustrate some of its applications. I shall introduce a new scheme for modes of recontextualisation that enables the analysis of the ways in which one activity - which might be school mathematics or social research or any empirically observed regularity of practice - recontextualises the practice of another and I shall also present, deploy, and develop an existing scheme - domains of action - in an analysis of school mathematics examination papers and in the structuring of what I refer to as the esoteric domain. This domain is here conceived as a hybrid domain of, first, linguistic and extralinguistic resources that are unambiguously mathematical in terms of both expression and content and, second, pedagogic theory - often tacit - that enables the mathematical gaze onto other practices and so recontextualises them. A second and more general theme that runs through the paper is the claim that there is nothing that is beyond semiosis, that there is nothing to which we have direct access, unmediated by interpretation. This state of affairs has implications for mathematics education. Specifically, insofar as an individual's mathematical semiotic system is under continuous development - the curriculum never being graspable all at once - understanding - as a stable semiotic moment - of any aspect or object of mathematics is always localised to the individual and is at best transient, and the sequencing of such moments may well also be more individualised than consistent in some correspondence with the sequencing of the curriculum. This being the case, a concentration on understanding as a goal may well serve to inhibit the pragmatic acquisition and deployment of mathematical technologies, which should be the principal aim of mathematics teaching and learning. The paper is primarily concerned with mathematics education. SAM, however, is a language that is available for recruiting and deploying in potentially any context as I have attempted to illustrate with some of the secondary illustrations in the text.

Mathematical calculation skills required for drug administration in undergraduate nursing students to ensure patient safety: A descriptive study: Drug calculation skills in nursing students.

PubMed

Bagnasco, Annamaria; Galaverna, Lucia; Aleo, Giuseppe; Grugnetti, Anna Maria; Rosa, Francesca; Sasso, Loredana

2016-01-01

In the literature we found many studies that confirmed our concerns about nursing students' poor maths skills that directly impact on their ability to correctly calculate drug dosages with very serious consequences for patient safety. The aim of our study was to explore where students had most difficulty and identify appropriate educational interventions to bridge their mathematical knowledge gaps. This was a quali-quantitative descriptive study that included a sample of 726 undergraduate nursing students. We identified exactly where students had most difficulty and identified appropriate educational interventions to bridge their mathematical knowledge gaps. We found that the undergraduate nursing students mainly had difficulty with basic maths principles. Specific learning interventions are needed to improve their basic maths skills and their dosage calculation skills. For this purpose, we identified safeMedicate and eDose (Authentic World Ltd.), only that they are only available in English. In the near future we hope to set up a partnership to work together on the Italian version of these tools. Copyright © 2015 Elsevier Ltd. All rights reserved.

Teachers' Concerns and Efficacy Beliefs about Implementing a Mathematics Curriculum Reform: Integrating Two Lines of Inquiry

ERIC Educational Resources Information Center

Charalambous, Charalambos Y.; Philippou, George N.

2010-01-01

This study brings together two lines of research on teachers' affective responses toward mathematics curriculum reforms: their concerns and their efficacy beliefs. Using structural equation modeling to analyze data on 151 elementary mathematics teachers' concerns and efficacy beliefs 5 years into a mandated curriculum reform on problem solving,…

Undergraduate Students' Perceptions of the Mathematics Courses Included in the Primary School Teacher Education Program

ERIC Educational Resources Information Center

Serin, Mehmet Koray; Incikabi, Semahat

2017-01-01

Mathematics educators have reported on many issues regarding students' mathematical education, particularly students who received mathematics education at different departments such as engineering, science or primary school, including their difficulties with mathematical concepts, their understanding of and preferences for mathematical concepts.…

What Counts As Mathematics?: Technologies of Power in Adult and Vocational Education. Mathematics Education Library.

ERIC Educational Resources Information Center

Fitzsimons, Gail E.

This book, aimed at mathematics and vocational educators and researchers, analyzes the historical, sociological, and practical elements of mathematics within vocational education against the emerging impact of technology. Focus is on the current situation of mathematics within Australian vocational and technical education and how that might be…

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…

Master teachers' responses to twenty literacy and science/mathematics practices in deaf education.

PubMed

Easterbrooks, Susan R; Stephenson, Brenda; Mertens, Donna

2006-01-01

Under a grant to improve outcomes for students who are deaf or hard of hearing awarded to the Association of College Educators--Deaf/Hard of Hearing, a team identified content that all teachers of students who are deaf and hard of hearing must understand and be able to teach. Also identified were 20 practices associated with content standards (10 each, literacy and science/mathematics). Thirty-seven master teachers identified by grant agents rated the practices on a Likert-type scale indicating the maximum benefit of each practice and maximum likelihood that they would use the practice, yielding a likelihood-impact analysis. The teachers showed strong agreement on the benefits and likelihood of use of the rated practices. Concerns about implementation of many of the practices related to time constraints and mixed-ability classrooms were themes of the reviews. Actions for teacher preparation programs were recommended.

A Computer-Assisted Instructional Software Program in Mathematical Problem-Solving Skills for Medication Administration for Beginning Baccalaureate Nursing Students at San Jose State University.

ERIC Educational Resources Information Center

Wahl, Sharon C.

Nursing educators and administrators are concerned about medication errors made by students which jeopardize patient safety. The inability to conceptualize and calculate medication dosages, often related to math anxiety, is implicated in such errors. A computer-assisted instruction (CAI) program is seen as a viable method of allowing students to…

The Efficacy of an Intervention Synthesizing Scaffolding Designed to Promote Self-Regulation with an Early Mathematics Curriculum: Effects on Executive Function

ERIC Educational Resources Information Center

Clements, Douglas H.; Sarama, Julie; Unlu, Fatih; Layzer, Carolyn

2012-01-01

The authors' goal is twofold. First, they wished to produce a theoretically-based approach to this synthesis. Child-centered programs have a long history. However, concerns about children's achievement, and the pressure of content-specific standards, have set up a perceived conflict, in which educators believe they are being asked to abandon…

English and Language Teacher Education in Malaysia: An Exploration of the Influences on and Experiences of Pre-Service Teachers

ERIC Educational Resources Information Center

Macalister, John

2017-01-01

In multilingual Malaysia, the place of English has been debated at various times since independence in 1957. An initiative to address concerns about levels of English language proficiency in the country through teaching Science and Mathematics in English was launched in the early 21st century. For some teachers, a trans-national component was…

Fuzzy Logic and Education: Teaching the Basics of Fuzzy Logic through an Example (By Way of Cycling)

ERIC Educational Resources Information Center

Sobrino, Alejandro

2013-01-01

Fuzzy logic dates back to 1965 and it is related not only to current areas of knowledge, such as Control Theory and Computer Science, but also to traditional ones, such as Philosophy and Linguistics. Like any logic, fuzzy logic is concerned with argumentation, but unlike other modalities, which focus on the crisp reasoning of Mathematics, it deals…

Efforts to Recruit Secondary STEM Teachers at Columbus State University

NASA Astrophysics Data System (ADS)

Webster, Zodiac T.; MaSST Preparation Council

2006-12-01

Physics as a discipline is not alone in having difficulty finding qualified teachers. Under-qualified teachers are present in high school Mathematics, Chemistry, Biology, and Earth-science classrooms as well. Columbus State University (CSU) has formed the Mathematics and Science Secondary Teachers (MaSST) Preparation Council to recruit more majors into our existing secondary teaching programs: Mathematics, Biology, Chemistry, and Geology. College of Education and College of Science faculty are working together to create a higher profile for these majors at our institution within the state of Georgia. In addition, we are planning an aggressive campaign to recruit from within by implementing a peer-tutoring program using outstanding students who have completed introductory math and science courses. Our group’s organization and initiatives can serve as a model for other institutions concerned about recruiting more high-school teachers.

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…

The effects of single-sex compared with coeducational schooling on students' performance and attitudes: a meta-analysis.

PubMed

Pahlke, Erin; Hyde, Janet Shibley; Allison, Carlie M

2014-07-01

Proponents of single-sex (SS) education believe that separating boys and girls, by classrooms or schools, increases students' achievement and academic interest. In this article, we use meta-analysis to analyze studies that have tested the effects on students of SS compared with coeducational (CE) schooling. We meta-analyzed data from 184 studies, representing the testing of 1.6 million students in Grades K-12 from 21 nations, for multiple outcomes (e.g., mathematics performance, mathematics attitudes, science performance, educational aspirations, self-concept, gender stereotyping). To address concerns about the quality of research designs, we categorized studies as uncontrolled (no controls for selection effects, no random assignment) or controlled (random assignment or controls for selection effects). Based on mixed-effects analyses, uncontrolled studies showed some modest advantages for single-sex schooling, for both girls and boys, for outcomes such as mathematics performance but not for science performance. Controlled studies, however, showed only trivial differences between students in SS versus CE, for mathematics performance (g = 0.10 for girls, 0.06 for boys) and science performance (g = 0.06 for girls, 0.04 for boys), and in some cases showed small differences favoring CE schooling (e.g., for girls' educational aspirations, g = -0.26). Separate analyses of U.S. studies yielded similar findings (e.g., for mathematics performance g = 0.14 for girls and 0.14 for boys). Results from the highest quality studies, then, do not support the view that SS schooling provides benefits compared with CE schooling. Claims that SS schooling is particularly effective for U.S. ethnic minority boys could not be tested due to the lack of controlled studies on this question. PsycINFO Database Record (c) 2014 APA, all rights reserved.

Values in the Mathematics Classroom: Supporting Cognitive and Affective Pedagogical Ideas

ERIC Educational Resources Information Center

Seah, Wee Tiong

2016-01-01

Values are the personal convictions which one finds important. Three different aspects which are associated with mathematics education differently are identified, namely, values through mathematics education, values of mathematics education, and values for mathematics. These are paired with Bishop's (1996) conceptions of general educational,…

Mathematical Modeling: A Bridge to STEM Education

ERIC Educational Resources Information Center

Kertil, Mahmut; Gurel, Cem

2016-01-01

The purpose of this study is making a theoretical discussion on the relationship between mathematical modeling and integrated STEM education. First of all, STEM education perspective and the construct of mathematical modeling in mathematics education is introduced. A review of literature is provided on how mathematical modeling literature may…

Solving for Irrational Zeros: Whiteness in Mathematics Teacher Education

ERIC Educational Resources Information Center

Warburton, Trevor Thayne

2015-01-01

For many, mathematics and social justice are perceived as incompatible. Several mathematics education researchers have noted resistance to social justice among mathematics teachers. However, mathematics education has a consistently negative impact on the education of students of color. This study seeks to better understand the nature of this…

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.

Trends in basic mathematical competencies of beginning undergraduates in Ireland, 2003-2013

NASA Astrophysics Data System (ADS)

Treacy, Páraic; Faulkner, Fiona

2015-11-01

Deficiencies in beginning undergraduate students' basic mathematical skills has been an issue of concern in higher education, particularly in the past 15 years. This issue has been tracked and analysed in a number of universities in Ireland and internationally through student scores recorded in mathematics diagnostic tests. Students beginning their science-based and technology-based undergraduate courses in the University of Limerick have had their basic mathematics skills tested without any prior warning through a 40 question diagnostic test during their initial service mathematics lecture since 1998. Data gathered through this diagnostic test have been recorded in a database kept at the university and explored to track trends in mathematical competency of these beginning undergraduates. This paper details findings surrounding an analysis of the database between 2003 and 2013, outlining changes in mathematical competencies of these beginning undergraduates in an attempt to determine reasons for such changes. The analysis found that the proportion of students tested through this diagnostic test that are predicted to be at risk of failing their service mathematics end-of-semester examinations has increased significantly between 2003 and 2013. Furthermore, when students' performance in secondary level mathematics was controlled, it was determined that the performance of beginning undergraduates in 2013 was statistically significantly below that of the performance of the beginning undergraduates recorded 10 years previously.

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.

Increasing Awareness of Practice through Interaction across Communities: The Lived Experiences of a Mathematician and Mathematics Teacher Educator

ERIC Educational Resources Information Center

Bleiler, Sarah K.

2015-01-01

Collaborations between mathematicians and mathematics teacher educators are increasingly being expected, and realized, within the context of mathematics teacher education. Most research related to collaborative efforts between members of the mathematics and mathematics education communities has focused on the products, rather than the process of…

Annual Perspectives in Mathematics Education 2016: Mathematical Modeling and Modeling Mathematics

ERIC Educational Resources Information Center

Hirsch, Christian R., Ed.; McDuffie, Amy Roth, Ed.

2016-01-01

Mathematical modeling plays an increasingly important role both in real-life applications--in engineering, business, the social sciences, climate study, advanced design, and more--and within mathematics education itself. This 2016 volume of "Annual Perspectives in Mathematics Education" ("APME") focuses on this key topic from a…

The Mathematics Education Debates: Preparing Students to Become Professionally Active Mathematics Teachers

ERIC Educational Resources Information Center

Munakata, Mika

2010-01-01

The Mathematics Education Debate is an assignment designed for and implemented in an undergraduate mathematics methods course for prospective secondary school mathematics teachers. For the assignment, students read and analyze current research and policy reports related to mathematics education, prepare and present their positions, offer…

[From Algebra as art to School Algebra : The textbooks written by Pierre de La Ramée, Bernard Salignac and Lazare Schöner].

PubMed

Loget, François

2011-01-01

Bernard Salignac and Lazare Schöner both published a treatise based on La Ramée's Algebra. Why did they endeavour to republish a book that their master had abandoned ? What changes did they make in the original ? They turned algebra into apedagogical discipline at a time when Ramism was making its presence felt in some Northern European educational establishments. Salignac took La Ramée's thoughts concerning the language of mathematics further and offered an original and precocious contribution to what I call the "scriptural turn" of mathematics at the end of the 16(th) century.

Investigations in Mathematics Education, Vol. 10, No. 1.

ERIC Educational Resources Information Center

Osborne, Alan R., Ed.

Eighteen research reports related to mathematics education are abstracted and analyzed. Studies include elementary, secondary, and college mathematics education areas. A majority of the studies relate to instruction and learning. Research related to mathematics education which was reported in RESOURCES IN EDUCATION and CURRENT INDEX TO JOURNALS IN…

Curbing "Math Anxiety" with Galileo While Teaching Physicists, too

NASA Astrophysics Data System (ADS)

Schwartz, Brian P.

2006-12-01

Carthage College's introductory physics course caters to both freshmen in our program and students in general education. While "Understandings of Physics" is a conceptual overview of our discipline, physical science is necessarily quantitative. Galileo's "Dialogue Concerning the Two New Sciences" provides us with a novel way to teach the fundamentals of motion both to students who "fear" mathematics, as well as those who are adept at solving algebraic equations.

Linguistica matematica, statistica linguistica e linguistica applicata. Una nota storica sui lessici di frequenza e l'educazione linguistica (Mathematical Linguistics, Linguistic Statistics, and Applied Linguistics. An Historical Note on Word Frequencies and Linguistic Education)

ERIC Educational Resources Information Center

Elia, Annibale

1977-01-01

This article traces the history of several themes in applied linguistics and to show the relationships between linguistic theory and the sciences concerned with the learning and teaching of languages. Interest in word frequency statistics is discussed in particular. (Text is in Italian.) (CFM)

What Mathematics Education Can Learn from Art: The Assumptions, Values, and Vision of Mathematics Education

ERIC Educational Resources Information Center

Dietiker, Leslie

2015-01-01

Elliot Eisner proposed that educational challenges can be met by applying an artful lens. This article draws from Eisner's proposal to consider the assumptions, values, and vision of mathematics education by theorizing mathematics curriculum as an art form. By conceptualizing mathematics curriculum (both in written and enacted forms) as stories…

Peirce's Philosophy of Mathematical Education: Fostering Reasoning Abilities for Mathematical Inquiry

ERIC Educational Resources Information Center

Campos, Daniel G.

2010-01-01

I articulate Charles S. Peirce's philosophy of mathematical education as related to his conception of mathematics, the nature of its method of inquiry, and especially, the reasoning abilities required for mathematical inquiry. The main thesis is that Peirce's philosophy of mathematical education primarily aims at fostering the development of the…

Constructing Mathematical Knowledge: Epistemology and Mathematics Education. Studies in Mathematics Education Series: 4.

ERIC Educational Resources Information Center

Ernest, Paul, Ed.

This book illustrates the breadth of theoretical and philosophical perspectives that can be brought to bear on mathematics and education. Part 1, "Constructivism and the Learning of Mathematics," contains the following chapters: (1) "A Radical Constructivist View of Basic Mathematical Concepts" (E. von Glasersfeld); (2) "Interaction and Children's…

Profile of Metacognition of Mathematics and Mathematics Education Students in Understanding the Concept of Integral Calculus

NASA Astrophysics Data System (ADS)

Misu, La; Ketut Budayasa, I.; Lukito, Agung

2018-03-01

This study describes the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. The metacognition profile is a natural and intact description of a person’s cognition that involves his own thinking in terms of using his knowledge, planning and monitoring his thinking process, and evaluating his thinking results when understanding a concept. The purpose of this study was to produce the metacognition profile of mathematics and mathematics education students in understanding the concept of integral calculus. This research method is explorative method with the qualitative approach. The subjects of this study are mathematics and mathematics education students who have studied integral calculus. The results of this study are as follows: (1) the summarizing category, the mathematics and mathematics education students can use metacognition knowledge and metacognition skills in understanding the concept of indefinite integrals. While the definite integrals, only mathematics education students use metacognition skills; and (2) the explaining category, mathematics students can use knowledge and metacognition skills in understanding the concept of indefinite integrals, while the definite integrals only use metacognition skills. In addition, mathematics education students can use knowledge and metacognition skills in understanding the concept of both indefinite and definite integrals.

The Gender-Equality Paradox in Science, Technology, Engineering, and Mathematics Education.

PubMed

Stoet, Gijsbert; Geary, David C

2018-04-01

The underrepresentation of girls and women in science, technology, engineering, and mathematics (STEM) fields is a continual concern for social scientists and policymakers. Using an international database on adolescent achievement in science, mathematics, and reading ( N = 472,242), we showed that girls performed similarly to or better than boys in science in two of every three countries, and in nearly all countries, more girls appeared capable of college-level STEM study than had enrolled. Paradoxically, the sex differences in the magnitude of relative academic strengths and pursuit of STEM degrees rose with increases in national gender equality. The gap between boys' science achievement and girls' reading achievement relative to their mean academic performance was near universal. These sex differences in academic strengths and attitudes toward science correlated with the STEM graduation gap. A mediation analysis suggested that life-quality pressures in less gender-equal countries promote girls' and women's engagement with STEM subjects.

The `M' in SMEC: a short history of the mathematics education presence

NASA Astrophysics Data System (ADS)

Malone, John A.

2011-09-01

In this paper I examine the history of the integration of mathematics education into the Science Education Centre, which had been established by physicist, John de Laeter, within the School of Science and Engineering at Curtin University in Perth, Australia. De Laeter's vision for science education was that teachers should have access to professional education that allowed them to extend their discipline and pedagogical knowledge using strategies that brought together theory and practice in ways that were meaningful for teachers. This model was expanded when mathematics education was also included, paving the way also for technology education. I present the history of this integration laying out the themes that are important for the continued educational effectiveness of the Science and Mathematics Education Centre (SMEC) and the role that mathematics education has played in this process. As the title suggests, this article focuses on the activities of the group of mathematics educators who have worked within the Science and Mathematics Education Centre of Curtin University since it was established 30 or so years ago and who have contributed to its reputation. The two streams operated then and now more-or-less independently in matters of student thesis topic choice but offered students opportunities for interaction that might not have been available if the "M" had not been incorporated into the Science Education Centre (SEC). This article's focus is on the mathematics educators who contributed to the Centre's success and reputation, highlighting the synergistic relationship between mathematics and science that helped to make SMEC a leading center for mathematics and science education.

Pre-service Mathematics Teachers' Knowledge of History of Mathematics and Their Attitudes and Beliefs Towards Using History of Mathematics in Mathematics Education

NASA Astrophysics Data System (ADS)

Alpaslan, Mustafa; Işıksal, Mine; Haser, Çiğdem

2014-01-01

This study examined pre-service mathematics teachers' knowledge of history of mathematics and their attitudes and beliefs towards using history of mathematics in mathematics education based on year level in teacher education program and gender. The sample included 1,593 freshman, sophomore, junior, and senior pre-service middle school (grades 4-8) mathematics teachers from nine universities in Turkey. Data were collected through Knowledge of History of Mathematics Test and Attitudes and Beliefs towards the Use of History of Mathematics in Mathematics Education Questionnaire. Results indicate that pre-service teachers have moderate knowledge of history of mathematics and positive attitudes and beliefs towards using history of mathematics. Their knowledge scores increase as the year level in teacher education program advanced. Males' knowledge scores are significantly higher than females' scores in the first 2 years. This situation reverses in the last 2 years, but it is not statistically significant. Pre-service teachers have more positive attitudes and availing beliefs towards using history of mathematics as they progress in their teacher education program. Females have greater attitudes and beliefs mean scores than males in each of the years. The results indicate that the teacher education program may have enhanced the pre-service teachers' knowledge of history of mathematics by related courses. However, the moderate knowledge scores indicate that there is a need for revision of these courses. The pre-service teachers' positive attitudes and beliefs towards using history of mathematics stress the importance of teacher education program in order to prepare them for implementing this alternative strategy in the future.

Crossroads in the History of Mathematics and Mathematics Education. The Montana Mathematics Enthusiast: Monograph Series in Mathematics Education

ERIC Educational Resources Information Center

Sriraman, Bharath, Ed.

2012-01-01

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at…

Science, Technology, Engineering, and Mathematics (STEM) Education Reform to Enhance Security of the Global Cyberspace

DTIC Science & Technology

2014-05-01

economic stability , military defense, global influence, and trade or business efforts. A nation s education system is however the most critical precondition to achieving the elements listed. For these reasons, the protection of and the continued growth of the cyberspace as an international environment is cause for a secure global cyberspace. The Internet in particular, is a vehicle the nation uses to communicate, cooperate, and conduct business dealings involving our assets and for this reason cybersecurity is a major concern. In this paper, we choose to focus on adding

Digitized Educational Technology: A Learning Tool Using Remotely Sensed Data

NASA Technical Reports Server (NTRS)

Love, Gloria Carter

1999-01-01

Digitized Educational software for different levels of instruction were developed and placed on the web (geocities). Students attending the Pre-Engineering Summer 1998 Camp at Dillard University explored the use of the software which included presentations, applications, and special exercises. Student comments were received and considered for adjustments. The second outreach program included students from Colton Junior High School and Natural Science Majors at Dillard University. The Natural Majors completed a second survey concerning reasons why students selected majors in the Sciences and Mathematics. Two student research assistants (DU) and faculty members/parents of Colton Junior High assisted.

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…

A Study of Visualization for Mathematics Education

NASA Technical Reports Server (NTRS)

Daugherty, Sarah C.

2008-01-01

Graphical representations such as figures, illustrations, and diagrams play a critical role in mathematics and they are equally important in mathematics education. However, graphical representations in mathematics textbooks are static, Le. they are used to illustrate only a specific example or a limited set. of examples. By using computer software to visualize mathematical principles, virtually there is no limit to the number of specific cases and examples that can be demonstrated. However, we have not seen widespread adoption of visualization software in mathematics education. There are currently a number of software packages that provide visualization of mathematics for research and also software packages specifically developed for mathematics education. We conducted a survey of mathematics visualization software packages, summarized their features and user bases, and analyzed their limitations. In this survey, we focused on evaluating the software packages for their use with mathematical subjects adopted by institutions of secondary education in the United States (middle schools and high schools), including algebra, geometry, trigonometry, and calculus. We found that cost, complexity, and lack of flexibility are the major factors that hinder the widespread use of mathematics visualization software in education.

Elementary General and Special Education Teachers' Mathematics Skills and Efficacy

ERIC Educational Resources Information Center

Flores, Margaret M.; Thornton, Jennifer; Franklin, Toni M.; Hinton, Vanessa M.; Strozier, Shaunita

2014-01-01

The purpose of this study was to extend the literature regarding elementary teachers' beliefs about mathematics instruction to include special education teachers by surveying special education and general education teachers' mathematics teaching efficacy. In addition, the researchers' surveyed teachers' mathematics skills. The participants (n =…

Not mathematics Education, not Mathematics education but Mathematics Education

ERIC Educational Resources Information Center

Galbraith, P. L.

1977-01-01

Weaknesses in the initial preparation of school mathematics teachers are proposed. Emphasis is on the underdevelopment of global understanding in lieu of the manipulation of symbols or the performing of complex algorithms. (MN)

What is the Role of Mathematics Education in the Computer Age?

ERIC Educational Resources Information Center

Popp, Jerome A.

1986-01-01

Proposes that the role of mathematics education be re-examined in terms of an increased emphasis on mathematical knowledge rather than attainment of calculational speed. Offers perspectives on the reform movement in mathematics education and advocates the teaching of the history, logic, and method of mathematical thinking. (ML)

Locating Mathematics within Post-16 Vocational Education in England

ERIC Educational Resources Information Center

Dalby, Diane; Noyes, Andrew

2016-01-01

The political importance of mathematics in post-16 education is clear. Far less clear is how mathematics does and should relate to vocational education. Successive mathematics curricula (e.g. core skills, key skills) have been developed in England with vocational learners in mind. Meanwhile, general mathematics qualifications remain largely…

Mathematicians' and Math Educators' Views on "Doing Mathematics"

ERIC Educational Resources Information Center

Brandt, Jim; Lunt, Jana; Meilstrup, Gretchen Rimmasch

2016-01-01

Educators often argue that mathematics should be taught so that the students in the course are actually "doing mathematics." Is there a consensus among mathematicians and mathematics educators as to the meaning of "doing mathematics?" In an effort to answer this question, we administered a survey to hundreds of university-level…

Prospective Turkish Primary Teachers' Views about the Use of Computers in Mathematics Education

ERIC Educational Resources Information Center

Dogan, Mustafa

2012-01-01

The use of computers and technology in mathematics education affects students' learning, achievements, and affective dimensions. This study explores prospective Turkish primary mathematics teachers' views about the use of computers in mathematics education. The sample comprised of 129 fourth-year prospective primary mathematics teachers from two…

Enhancing Students' Understanding of Algebra Concepts through Cooperative Computer Instruction

ERIC Educational Resources Information Center

Gambari, Amos Isiaka; Shittu, Ahmed Tajudeen; Taiwo, Oladipupo Abimbola

2016-01-01

Values are the personal convictions which one finds important. Three different aspects which are associated with mathematics education differently are identified, namely, values through mathematics education, values of mathematics education, and values for mathematics. These are paired with Bishop's (1996) conceptions of general educational,…

The Integration of Science and Mathematics Education: Highlights from the NSF/SSMA Wingspread Conference Plenary Papers.

ERIC Educational Resources Information Center

Berlin, Donna F.

1994-01-01

Summarizes plenary papers presented at the NSF/SSMA Wingspread Conference to explore ways to improve science and mathematics education through integration. Themes included analysis of integration; divergence of mathematics education from science education; technological perspectives; promoting mathematical and scientific inquiry; and school…

Symbolising the Real of Mathematics Education

ERIC Educational Resources Information Center

Pais, Alexandre

2015-01-01

This text, occasioned by a critical reading of Tony Brown's new book "Mathematics Education and Subjectivity," aims at contributing to the building of a sociopolitical approach to mathematics education based on Lacanian psychoanalysis and Slavoj Žižek's philosophy. Brown has been bringing into the field of mathematics education the work…

The Popularization of China's Higher Education and Its Influence on University Mathematics Education

ERIC Educational Resources Information Center

Jing, Tang

2007-01-01

This paper introduces the current situation of the popular Chinese university education, points out the impact of popularized Chinese higher education on its university mathematics education, and presents the actualities and existing problems of university mathematics education research in China.

The Use of the Interactive Whiteboard in Mathematics and Mathematics Lessons from the Perspective of Turkish Middle School Students

ERIC Educational Resources Information Center

Önal, Nezih; Demir, Cennet Göloglu

2017-01-01

It is a great paradox that despite the great importance attached to mathematics education in Turkey, high failure rates are observed among Turkish students in mathematics. For this reason, new applications are implemented in the field of mathematics education in Turkey. One of these applications is the use of technology in mathematics education.…

Elective Drama Course in Mathematics Education: An Assessment of Pre-Service Teachers

ERIC Educational Resources Information Center

Sagirli, Meryem Özturan

2014-01-01

This study aimed to evaluate a newly introduced elective course "Drama in Mathematics Education" into mathematics education curriculum from the viewpoints of pre-service mathematics teachers. A case study was employed in the study. The study group consisted of 37 pre-service mathematics teachers who were enrolled in a Turkish state…

Studies in Mathematics Education, Volume 3. The Mathematical Education of Primary-School Teachers.

ERIC Educational Resources Information Center

Morris, Robert, Ed.

Recognizing that the teacher is the key to improving any mathematics program, this volume examines the responsibility of primary school teachers for the mathematics component of the curriculum and the implications thereof for teacher education. The first two chapters focus on the responsibilities of teachers of primary mathematics and contemporary…

Exploring the Disconnect between Mathematics Ability and Mathematics Efficacy among Preservice Agricultural Education Teachers

ERIC Educational Resources Information Center

Hilby, Alyssa C.; Stripling, Christopher T.; Stephens, Carrie A.

2014-01-01

STEM disciplines will continue to impact school-based agricultural education programs; thus, in order to produce secondary students proficient in science and mathematics, developing preservice agricultural education teachers who are competent in mathematics and teaching mathematics is essential. This study utilized data collected through a focus…

Teaching Mathematics Effectively and Equitably to Females. Trends and Issues No. 17.

ERIC Educational Resources Information Center

Hanson, Katherine

This monograph looks at mathematics education today in the United States, particularly at how girls are treated in mathematics education in order to identify ways to increase female interest and achievement in mathematics. The first section of the review describes the current status of females in mathematics education including achievement history…

Learning from Math Circles: Providing Underserved Students of Color with Accessibility to Mathematics Education

ERIC Educational Resources Information Center

Winful, Audrey M.

2009-01-01

Consistently high minority failure rates in high school and college mathematics, the noticeable decrease in access to mathematics education for our underserved students of color, and this mathematics educator's genuine belief in the global necessity, desirability, and applicability of engaging our youth in learning mathematics through Math…

Studies in Mathematics Education. Volume 6. Out-of-School Mathematics Education.

ERIC Educational Resources Information Center

Morris, Robert, Ed.

This is the sixth volume in a series designed to improve mathematics instruction by providing resource materials for those responsible for mathematics teaching. Focusing on out-of-school mathematics education, this volume presents a panorama of current practices around the world and suggests future trends. Subjects considered include: (1)…

Integrating Universal Design and Response to Intervention in Methods Courses for General Education Mathematics Teachers

ERIC Educational Resources Information Center

Buchheister, Kelley; Jackson, Christa; Taylor, Cynthia E.

2014-01-01

Traditionally, teacher education programs have placed little emphasis on preparing mathematics teachers to work with students who struggle in mathematics. Therefore, it is crucial that mathematics teacher educators explicitly prepare prospective teachers to instruct students who struggle with mathematics by providing strategies and practices that…

Intersectional Analysis in Critical Mathematics Education Research: A Response to Figure Hiding

ERIC Educational Resources Information Center

Bullock, Erika C.

2018-01-01

In this chapter, I use figure hiding as a metaphor representing the processes of exclusion and suppression that critical mathematics education (CME) seeks to address. Figure hiding renders identities and modes of thought in mathematics education and mathematics education research invisible. CME has a commitment to addressing figure hiding by…

Coding as a Trojan Horse for Mathematics Education Reform

ERIC Educational Resources Information Center

Gadanidis, George

2015-01-01

The history of mathematics educational reform is replete with innovations taken up enthusiastically by early adopters without significant transfer to other classrooms. This paper explores the coupling of coding and mathematics education to create the possibility that coding may serve as a Trojan Horse for mathematics education reform. That is,…

Research on Mathematics Education in China in the Last Decade: A Review of Journal Articles

ERIC Educational Resources Information Center

Xu, Binyan

2010-01-01

This article reviews literature on mathematics education in China in the last decade. It focuses on papers that were published after 2000, and Chinese Social Science Citation Index (CSSCI). Some influential journals in the field of mathematics education, such as the "Journal of Mathematics Education" and "Mathematics…

Enhancing Teacher Education in Primary Mathematics with Mobile Technologies

ERIC Educational Resources Information Center

Schuck, Sandy

2016-01-01

A challenge of teacher education is to produce graduate primary school teachers who are confident and competent teachers of mathematics. Various approaches to primary school teacher education in mathematics have been investigated, but primary teacher education graduates still tend to be diffident in their teaching of mathematics. In an age where…

Re/Writing the Subject: A Contribution to Post-Structuralist Theory in Mathematics Education

ERIC Educational Resources Information Center

Roth, Wolff-Michael

2012-01-01

This text, occasioned by a critical reading of "Mathematics Education and Subjectivity" (Brown, "2011") and constituting a response to the book, aims at contributing to the building of (post-structuralist) theory in mathematics education. Its purpose was to re/write two major positions that "Mathematics Education and Subjectivity" articulates:…

Discrete mathematics in deaf education: a survey of teachers' knowledge and use.

PubMed

Pagliaro, Claudia M; Kritzer, Karen L

The study documents what deaf education teachers know about discrete mathematics topics and determines if these topics are present in the mathematics curriculum. Survey data were collected from 290 mathematics teachers at center and public school programs serving a minimum of 120 students with hearing loss, grades K-8 or K-12, in the United States. Findings indicate that deaf education teachers are familiar with many discrete mathematics topics but do not include them in instruction because they consider the concepts too complicated for their students. Also, regardless of familiarity level, deaf education teachers are not familiar with discrete mathematics terminology; nor is their mathematics teaching structured to provide opportunities to apply the real-world-oriented activities used in discrete mathematics instruction. Findings emphasize the need for higher expectations of students with hearing loss, and for reform in mathematics curriculum and instruction within deaf education.

The Teacher Education and Development Study in Mathematics (TEDS-M): Policy, Practice, and Readiness to Teach Primary and Secondary Mathematics in 17 Countries. Technical Report

ERIC Educational Resources Information Center

Tatto, Maria Teresa, Ed.

2013-01-01

The Teacher Education and Development Study in Mathematics (TEDS-M), conducted under the aegis of the International Association for the Evaluation of Educational Achievement (IEA), was designed to inform policy and practice in mathematics teacher education. For educational policymakers, TEDS-M contributes data on institutional arrangements that…

The Autonomy to Choose--The Case of Ninth-Grade Mathematics Students

ERIC Educational Resources Information Center

Lavy, Ilana; Zarfin, Orly

2013-01-01

In this study we explored the effects of providing ninth-grade students with the chance to take part in decision making concerning the mathematics level they would be assigned to in high school. Decisions concerned their self-competence regarding their mathematical abilities, their learning goals and the class atmosphere. The students were taught…

Choices and changes: Eccles' Expectancy-Value model and upper-secondary school students' longitudinal reflections about their choice of a STEM education

NASA Astrophysics Data System (ADS)

Lykkegaard, Eva; Ulriksen, Lars

2016-03-01

During the past 30 years, Eccles' comprehensive social-psychological Expectancy-Value Model of Motivated Behavioural Choices (EV-MBC model) has been proven suitable for studying educational choices related to Science, Technology, Engineering and/or Mathematics (STEM). The reflections of 15 students in their last year in upper-secondary school concerning their choice of tertiary education were examined using quantitative EV-MBC surveys and repeated qualitative interviews. This article presents the analyses of three cases in detail. The analytical focus was whether the factors indicated in the EV-MBC model could be used to detect significant changes in the students' educational choice processes. An important finding was that the quantitative EV-MBC surveys and the qualitative interviews gave quite different results concerning the students' considerations about the choice of tertiary education, and that significant changes in the students' reflections were not captured by the factors of the EV-MBC model. This questions the validity of the EV-MBC surveys. Moreover, the quantitative factors from the EV-MBC model did not sufficiently explain students' dynamical educational choice processes where students in parallel considered several different potential educational trajectories. We therefore call for further studies of the EV-MBC model's use in describing longitudinal choice processes and especially in investigating significant changes.

Promoting Mathematical Argumentation

ERIC Educational Resources Information Center

Rumsey, Chepina; Langrall, Cynthia W.

2016-01-01

The Standards for Mathematical Practice (SMP) in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) highlight the mathematical habits that educators should be fostering in mathematics classrooms throughout K-grade 12 education. That argumentation and discourse are important components of developing mathematically proficient…

A Categorization Model for Educational Values of the History of Mathematics. An Empirical Study

NASA Astrophysics Data System (ADS)

Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke

2017-11-01

There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the history of mathematics by combining the objectives of high school mathematics curriculum in China. This framework includes six dimensions: the harmony of knowledge, the beauty of ideas or methods, the pleasure of inquiries, the improvement of capabilities, the charm of cultures, and the availability of moral education. The results show that this framework better explained the all-educational values of the history of mathematics that all teaching cases showed. Therefore, the framework can guide teachers to better integrate the history of mathematics into teaching.

The Use of Computers in Mathematics Education: A Paradigm Shift from "Computer Assisted Instruction" towards "Student Programming"

ERIC Educational Resources Information Center

Aydin, Emin

2005-01-01

The purpose of this study is to review the changes that computers have on mathematics itself and on mathematics curriculum. The study aims at investigating different applications of computers in education in general, and mathematics education in particular and their applications on mathematics curriculum and on teaching and learning of…

Time-on-task, technology and mathematics achievement.

PubMed

Louw, Johann; Muller, Johan; Tredoux, Colin

2008-02-01

Information and communication technologies hold much promise for use in education in developing countries. This study reports on an evaluation conducted on the introduction of computers in the delivery of the mathematics curriculum in one of the provinces of South Africa. Although the request was for an outcome evaluation very early in the implementation of the program, it was tailored in such a way as to fulfill a more formative role. Despite substantial variability in implementation, and in most cases with very weak exposure of the learners to the intervention, sufficient evidence emerged to indicate that this mode of curriculum delivery may be effective. Improvement in mathematics performance was related to a range of variables: some concerned classroom teaching practices, some referred to social differences between the learners, and some to the specific intervention. The strongest of these predictors in the sample was the strength of the intervention: the more time learners spent on using the software to study mathematics, the more improvement they showed from 1 year to the next in their performance in the subject.

Mathematics Education Research in South Africa 2007-2015: Review and Reflection

ERIC Educational Resources Information Center

Adler, Jill; Alshwaikh, Jehad; Essack, Regina; Gcsamba, Lizeka

2017-01-01

This article reports a review of research in mathematics education in South Africa published in local and international journals in the period 2007-2015. The purpose of the review was to describe the landscape of mathematics education research in the country over the past (almost) decade. Findings indicate that the mathematics education research…

Advancements in Research on Creativity and Giftedness in Mathematics Education: Introduction to the Special Issue

ERIC Educational Resources Information Center

Singer, Florence Mihaela; Sheffield, Linda Jensen; Leikin, Roza

2017-01-01

Creativity and giftedness in mathematics education research are topics of an increased interest in the education community during recent years. This introductory paper to the special issue on Mathematical Creativity and Giftedness in Mathematics Education has a twofold purpose: to offer a brief historical perspective on the study of creativity and…

Critical Responses to Enduring Challenges in Mathematics Education. Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (37th, East Lansing, Michigan, November 5-8, 2015)

ERIC Educational Resources Information Center

Bartell, Tonya Gau, Ed.; Bieda, Kristen N., Ed.; Putnam, Ralph T., Ed.; Bradfield, Kenneth, Ed.; Dominguez, Higinio, Ed.

2015-01-01

The theme of this year's conference is "Critical Responses to Enduring Challenges in Mathematics Education." The theme of this year's conference invites mathematics education scholars to reflect upon and critically respond to enduring challenges in teaching and learning mathematics for all students. To ignite discussion within the field,…

Influence of Strengthening Mathematics and Science in Secondary Education (SMASSE) in Service Education and Training(INSET) on the Attitude of Students towards Mathematics Perfomance in Public Secondary Schools of Rangwe Division, Homa-Bay Sub County-Kenya

ERIC Educational Resources Information Center

Wafubwa, Ruth Nanjekho

2015-01-01

The general performance in mathematics in Kenya has been declining over the past years. This prompted the researchers to investigate the influence of Strengthening Mathematics and Science in Secondary Education (SMASSE) In Service Education and Training (INSET) on students' attitudes towards mathematics performance in public secondary schools of…

The beliefs of `Tomorrow's Teachers' about mathematics: precipitating change in beliefs as a result of participation in an Initial Teacher Education programme

NASA Astrophysics Data System (ADS)

Leavy, Aisling; Hourigan, Mairead

2018-07-01

Mathematics education research has given increasing attention to the role of affective factors in the learning process. While 'affect' is used to refer to a variety of aspects including feelings, emotions, beliefs, attitudes and conceptions, this paper focuses on 'beliefs' of elementary pre-service teachers. In particular, the study evaluates the effect of participation in a reform-based elementary pre-service teacher education (referred to as Initial Teacher Education (ITE)) programme on participants' 'beliefs about the nature of mathematics'. This was completed using two (sub)scales of the Aiken's Revised Mathematics Scale measuring Enjoyment of Mathematics (E) and belief in the Value of Mathematics (V). Both scales were administered before and after participants completed the mathematics education programme, which consisted of 5 compulsory and consecutive modules. This study reveals that entry-level pre-service teachers report generally positive beliefs about the value of and enjoyment in doing mathematics. The findings challenge previous research, which report the tendency of teachers' beliefs to be resistant to change while in teacher education and suggest that it is possible for ITE mathematics education programmes to stimulate improvement in beliefs and attitudes among participants. Particular programme features are identified as instrumental in this positive change in beliefs about mathematics.

Preservice Agricultural Education Teachers' Mathematics Ability

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2012-01-01

The purpose of this study was to examine the mathematics ability of the nation's preservice agricultural education teachers. Based on the results of this study, preservice teachers were not proficient in solving agricultural mathematics problems, and agricultural teacher education programs require basic and intermediate mathematics as their…

Multilingualism in indigenous mathematics education: an epistemic matter

NASA Astrophysics Data System (ADS)

Parra, Aldo; Trinick, Tony

2017-12-01

An investigation into an aspect of indigenous education provides the opportunity to forefront an epistemological discussion about mathematical knowledge. This paper analyses indigenous peoples' educational experiences in Colombia and Aotearoa/New Zealand of mathematics education, focusing on, among other things, sociolinguistic issues such as language planning. In these experiences, researchers, teachers and local communities, working together, elaborated their respective languages to create a corpus of lexicon that has enabled the teaching of Western mathematics. An analysis using decolonial theory is made, showing how this corpus development works to enable the teaching of [Western] mathematics resulted in investigations into culture, language and mathematics that revealed an interplay among knowledge and power. Such analysis raises issues about the epistemology of mathematics and the politics of knowledge, analogous with current discussions on multilingualism in mathematics education and in ethnomathematics. The paper concludes that mathematics educators can explore and take advantage of the sociolinguistic and epistemological issues that arise when an indigenous language is elaborated in a short period of time in comparison to other languages which have been developed incrementally over hundreds of years and thus much more difficult to critique.

Females and STEM: Determining the K-12 Experiences that Influenced Women to Pursue STEM Fields

NASA Astrophysics Data System (ADS)

Petersen, Anne Marie

In the United States, careers in the fields of Science, Technology, Engineering, and Mathematics (STEM) are increasing yet there are not enough trained personnel to meet this demand. In addition, of those that seek to pursue STEM fields in the United States, only 26% are female. In order to increase the number of women seeking STEM based bachelor's degrees, K-12 education must provide a foundation that prepares students for entry into these fields. The purpose of this phenomenological study was to determine the perceived K-12 experiences that influenced females to pursue a STEM field. Twelve college juniors or seniors seeking a degree in Biology, Mathematics, or Physics were interviewed concerning their K-12 experiences. These interviews were analyzed and six themes emerged. Teacher passion and classroom characteristics such as incorporating challenging activities played a significant role in the females' decisions to enter STEM fields. Extra-curricular activities such as volunteer and mentor opportunities and the females' need to benefit others also influenced females in their career choice. Both the formal (within the school) and informal (outside of the traditional classroom) pipeline opportunities that these students encountered helped develop a sense of self-efficacy in science and mathematics; this self-efficacy enabled them to persist in pursuing these career fields. Several participants cited barriers that they encountered in K-12 education, but these barriers were primarily internal as they struggled with overcoming self-imposed obstacles in learning and being competitive in the mathematics and science classrooms. The experiences from these female students can be used by K-12 educators to prepare and encourage current female students to enter STEM occupations.

The Effect of Teacher Education Programs on Future Elementary Mathematics Teachers' Knowledge: A Five-Country Analysis Using TEDS-M Data

ERIC Educational Resources Information Center

Qian, Hong; Youngs, Peter

2016-01-01

This article addresses the problem of how opportunities to learn in teacher education programs influence future elementary mathematics teachers' knowledge. This study used data collected for the Teacher Education and Development Study in Mathematics (TEDS-M). TEDS-M measured the mathematics content knowledge (MCK) and the mathematics pedagogical…

Effects of Secondary School Students' Perceptions of Mathematics Education Quality on Mathematics Anxiety and Achievement

ERIC Educational Resources Information Center

Çiftçi, S. Koza

2015-01-01

The two aims of this study are as follows: (1) to compare the differences in mathematics anxiety and achievement in secondary school students according to their perceptions of the quality of their mathematics education via a cluster analysis and (2) to test the effects of the perception of mathematics education quality on anxiety and achievement…

The Role of Gender, Self- and Task Perceptions in Mathematics and Science Participation among College Students.

ERIC Educational Resources Information Center

Lips, Hilary M.

The tendency of female students to avoid mathematics and science courses has been of concern to many researchers. The concern stems from the fact that avoidance of these academic areas places young women in a position of reduced choice with respect to careers. This research examined mathematics and science related attitudes and behaviors among…

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

ERIC Educational Resources Information Center

Kitchen, Ann

1999-01-01

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

Criticising with Foucault: Towards a Guiding Framework for Socio-Political Studies in Mathematics Education

ERIC Educational Resources Information Center

Kollosche, David

2016-01-01

Socio-political studies in mathematics education often touch complex fields of interaction between education, mathematics and the political. In this paper I present a Foucault-based framework for socio-political studies in mathematics education which may guide research in that area. In order to show the potential of such a framework, I discuss the…

Mathematics education and students with learning disabilities: introduction to the special series.

PubMed

Rivera, D P

1997-01-01

The prevalence of students with mathematics learning disabilities has triggered an interest among special education researchers and practitioners in developing an understanding of the needs of this group of students, and in identifying effective instructional programming to foster their mathematical performance during the school years and into adulthood. Research into the characteristics of students with mathematics learning disabilities is being approached from different perspectives, including developmental, neurological and neuropsychological, and educational. This diversity helps us develop a broader understanding of students' learning needs and difficulties. Special education assessment practices encompass a variety of approaches, including norm-referenced, criterion-referenced, and nonstandardized procedures, depending on the specific assessment questions professionals seek to answer. Students' mathematical knowledge and conceptual understanding must be examined to determine their strengths and weaknesses, curriculum-based progress, and use of cognitive strategies to arrive at mathematical solutions. Research findings have identified empirically validated interventions for teaching mathematics curricula to students with mathematics learning disabilities. Research studies have been grounded in behavioral theory and cognitive psychology, with an emergent interest in the constructivist approach. Although research studies have focused primarily on computational performance, more work is being conducted in the areas of story-problem solving and technology. These areas as well as other math curricular skills require further study. Additionally, the needs of adults with math LD have spurred educators to examine the elementary and secondary math curricula and determine ways to infuse them with life skills instruction accordingly. As the field of mathematics special education continues to evolve, special educators must remain cognizant of the developments in and influences on the field of mathematics education. Reform efforts have shaped the field significantly since the 1950s, contributing to the curriculum offered in mathematics textbooks and the pedagogical practices taught in higher education courses. Mathematics educators continue to search for a better understanding of how children learn mathematics; this process is shaped by the prevailing theoretical orientations and research methodologies. This special series in mathematics special education provides readers with information about the characteristics of students with mathematics learning disabilities, assessment procedures, mathematics programming, teacher preparation, and future directions for the field. The series originated as a result of discussions with Dr. Lee Wiederholt and Dr. Judith K. Voress, who saw a need for the compilation of recent research and best practices in mathematics special education. I thank them for their support of and thoughtful insights about the development of this series. I also appreciate the support of Dr. George Hynd and his editorial assistant, Kathryn Black, in finalizing the details for publication. Finally, I am most appreciative of the authors' contributions to this series; their work continues to significantly influence the development of the field of mathematics special education and programming for students with mathematics learning disabilities.

Investigating Gender Differences in Mathematics and Science: Results from the 2011 Trends in Mathematics and Science Survey

NASA Astrophysics Data System (ADS)

Reilly, David; Neumann, David L.; Andrews, Glenda

2017-06-01

The underrepresentation of women in science, technology, engineering, and mathematics (STEM)-related fields remains a concern for educators and the scientific community. Gender differences in mathematics and science achievement play a role, in conjunction with attitudes and self-efficacy beliefs. We report results from the 2011 Trends in Mathematics and Science Study (TIMSS), a large international assessment of eighth grade students' achievement, attitudes, and beliefs among 45 participating nations (N = 261,738). Small- to medium-sized gender differences were found for most individual nations (from d = -.60 to +.31 in mathematics achievement, and d = -.60 to +.26 for science achievement), although the direction varied and there were no global gender differences overall. Such a pattern cross-culturally is incompatible with the notion of immutable gender differences. Additionally, there were different patterns between OECD and non-OECD nations, with girls scoring higher than boys in mathematics and science achievement across non-OECD nations. An association was found between gender differences in science achievement and national levels of gender equality, providing support for the gender segregation hypothesis. Furthermore, the performance of boys was more variable than that of girls in most nations, consistent with the greater male variability hypothesis. Boys reported more favorable attitudes towards mathematics and science, and girls reported lower self-efficacy beliefs. While the gender gap in STEM achievement may be closing, there are still large sections of the world where differences remain.

Teaching by Open-Approach Method in Japanese Mathematics Classroom.

ERIC Educational Resources Information Center

Nohda, Nobuhiko

Mathematics educators in Japan have traditionally emphasized mathematical perspectives in research and practice. This paper features an account of changes in mathematics education in Japan that focus on the possibilities of individual students as well as their mathematical ways of thinking. Students' mathematical thinking, mathematical…

Conditions for Linking School Mathematics and Moral Education: A Case Study

ERIC Educational Resources Information Center

Falkenberg, Thomas; Noyes, Andrew

2010-01-01

In recent years the mathematics education research community has undergone a "social turn" towards a greater interest in the values and broader educational purposes of mathematics education, including issues of social justice and citizenship education. Building on these developing interests, this paper presents a conceptual framework…

What Is Our First Philosophy in Mathematics Education?

ERIC Educational Resources Information Center

Ernest, Paul

2012-01-01

What are the theoretical foundations of mathematics education? Recently disciplines other than mathematics and psychology have grown in importance, including philosophy. But which branch of philosophy is the most fundamental for mathematics education? In this article, I consider the claims of five branches of philosophy to be our "first…

Using Information Technology in Mathematics Education.

ERIC Educational Resources Information Center

Tooke, D. James, Ed.; Henderson, Norma, Ed.

This collection of essays examines the history and impact of computers in mathematics and mathematics education from the early, computer-assisted instruction efforts through LOGO, the constructivist educational software for K-9 schools developed in the 1980s, to MAPLE, the computer algebra system for mathematical problem solving developed in the…

Ethical Dimensions of Mathematics Education

ERIC Educational Resources Information Center

Boylan, Mark

2016-01-01

The relationships between mathematics, mathematics education and issues such as social justice and equity have been addressed by the sociopolitical tradition in mathematics education. Others have introduced explicit discussion of ethics, advocating for its centrality. However, this is an area that is still under developed. There is a need for an…

Alternate Trajectories: Women Moving into Mathematics Education

ERIC Educational Resources Information Center

Toney, Allison F.

2014-01-01

While only about one-third of each year's doctoral graduates in mathematics are women, about two-thirds of the doctoral graduates in mathematics education are women. This article reports on the results of a qualitative investigation into the nature of the graduate school-related experiences of women in collegiate mathematics education doctoral…

STEM Education: What Does Mathematics Have to Offer?

ERIC Educational Resources Information Center

Fitzallen, Noleine

2015-01-01

The emphasis on science, technology, engineering, and mathematics (STEM) education in recent times could be perceived as business as usual or as an opportunity for innovation and change in mathematics classrooms. Either option presents challenges for mathematics educators who are expected to contribute to the foundations of a STEM literate…

A Glimpse of Mathematics Education Reforms in the People's Republic of China

ERIC Educational Resources Information Center

Swetz, Frank

1978-01-01

The author was a member of a 23-man delegation of mathematics educators that recently toured the People's Republic of China observing the mathematics education scene. This paper describes the author's observations during his tour and discusses the new mathematics climate in China. (Author/MN)

Mathematics Teaching as Praxis

ERIC Educational Resources Information Center

Grootenboer, Peter; Edwards-Groves, Christine

2014-01-01

In this paper we argue that mathematics teaching can be conceptualised as a form of praxis. Viewing mathematics teaching as praxis foregrounds the moral nature of teaching and the educational practices that are developed in response to the educational needs in particular sites. The case for praxis in mathematics education is then made by drawing…

Positioning Mathematics Education Researchers to Influence Storylines

ERIC Educational Resources Information Center

Herbel-Eisenmann, Beth; Sinclair, Nathalie; Chval, Kathryn B.; Clements, Douglas H.; Civil, Marta; Pape, Stephen J.; Stephan, Michelle; Wanko, Jeffrey J.; Wilkerson, Trena L.

2016-01-01

The NCTM Research Committee identifies key influences on mathematics education that are largely outside the domain of the academic world in which most mathematics education researchers live. The groups that are identified--including the media, companies and foundations, and other academic domains--affect the public's perception of mathematics and…

Metaphor Perceptions of Pre-Service Teachers towards Mathematics and Mathematics Education in Preschool Education

ERIC Educational Resources Information Center

Keles, Oguz; Tas, Isil; Aslan, Durmus

2016-01-01

The aim of this study was to identify the thoughts of pre-service teachers, who play an important role in the early preschool experience of children in mathematics, towards the concepts of mathematics and education of mathematics with the help of metaphors. The study group of the research consists of a total of 227 pre-service teachers at the…

Mathematics/Science Education and Technology, 1994. Proceedings of the International Symposium on Mathematics/Science Education and Technology (San Diego, California, July 21-23, 1994).

ERIC Educational Resources Information Center

Marks, Gary H., Ed.

The primary purpose of the 1994 Mathematics/Science Education and Technology Symposium was to help foster the exchange of information related to the research, development, and applications of learning and teaching using information technology in mathematics and science educations. The theme "Emerging Issues and Trends" was identified to…

Mathematical Modeling Activities as a Useful Tool for Values Education

ERIC Educational Resources Information Center

Doruk, Bekir Kursat

2012-01-01

Values education is crucial since it is one of the factors to reach success in education in broader sense and in mathematics education in particular sense. It is also important for educating next generations of societies. However, previous research showed that expected importance for values education was not given in Mathematics courses. In a few…

Building a Program of University Physics and Mathematics Education

NASA Astrophysics Data System (ADS)

Tanaka, Tadayoshi; Nakamura, Akira; Kagiyama, Shigenori; Namiki, Masatoshi; Ejiri, Arisato; Ohshima, Kazunari; Mishima, Akiomi; Aoki, Katsuhiko

Authors built physics learning modules which consist of lectures, experiments and practices, introducing physics experiments of elementary and secondary education. In addition, we are operating "KIT Mathematics Navigation" in order to complement mathematical basics to engineering education. Based on these results, we are building studies and development of an education program in order to support the learning paradigm shift and to help students learn physics and mathematics complimentarily for liberal arts education course in universities.

Reflective Modeling in Teacher Education.

ERIC Educational Resources Information Center

Shealy, Barry E.

This paper describes mathematical modeling activities from a secondary mathematics teacher education course taken by fourth-year university students. Experiences with mathematical modeling are viewed as important in helping teachers develop a more intuitive understanding of mathematics, generate and evaluate mathematical interpretations, and…

Research in Mathematics Education: Multiple Methods for Multiple Uses

ERIC Educational Resources Information Center

Battista, Michael; Smith, Margaret S.; Boerst, Timothy; Sutton, John; Confrey, Jere; White, Dorothy; Knuth, Eric; Quander, Judith

2009-01-01

Recent federal education policies and reports have generated considerable debate about the meaning, methods, and goals of "scientific research" in mathematics education. Concentrating on the critical problem of determining which educational programs and practices reliably improve students' mathematics achievement, these policies and reports focus…

Relationship between Students' Diagnostic Assessment and Achievement in a Pre-University Mathematics Course

ERIC Educational Resources Information Center

Shim, George Tan Geok; Shakawi, Abang Mohammad Hudzaifah Abang; Azizan, Farah Liyana

2017-01-01

Educators have always highlighted the importance of mathematics mastery in education for many years. With the current emphasis of Science, Technology, Engineering and Mathematics (STEMs) education, mathematics mastery is even more vital because it supports the learning and mastery of science fields such as engineering and science. Furthermore, in…

American Perspectives on the Seventh International Congress on Mathematical Education.

ERIC Educational Resources Information Center

Dossey, John A., Ed.

This publication is a collection of papers portraying an American view of the happenings of the Seventh International Congress on Mathematical Education (ICME-7). Papers included: (1) "ICME-7 and Tertiary Level Mathematics: Une Petite Affaire" (Shirley Hill); (2) "Technology and Mathematics Education at ICME-7" (James T. Fey); (3) "Assessment in…

The Role of Ethnomathematics in Curricular Leadership in Mathematics Education

ERIC Educational Resources Information Center

D'Ambrosio, Ubiratan; D'Ambrosio, Beatriz Silva

2013-01-01

In this paper we share our reflections regarding the role of ethnomathematics in providing direction for leadership in mathematics education. Our arguments are grounded in an analysis of the world today, characterized by inequities and injustices, clamoring for a new social order. We contemplate the role of mathematics and mathematics education in…

An Investigation into Pre-Service Special Education Teachers' Mathematical Skills, Self-Efficacy, and Teaching Methodology

ERIC Educational Resources Information Center

Hinton, Vanessa; Flores, Margaret; Burton, Megan; Curtis, Rebecca

2015-01-01

The purpose of this mixed method study was to investigate future special education teachers' preparation for effectively teaching mathematics. During the last semester of their program, pre-service special education teachers completed elementary level mathematics computation and problem solving assessments, a mathematics efficacy beliefs survey,…

Reframing Research on Methods Courses to Inform Mathematics Teacher Educators' Practice

ERIC Educational Resources Information Center

Kastberg, Signe E.; Tyminski, Andrew M.; Sanchez, Wendy B.

2017-01-01

Calls have been made for the creation of a shared knowledge base in mathematics teacher education with the power to inform the design of scholarly inquiry and mathematics teacher educators' (MTEs) scholarly practices. Focusing on mathematics methods courses, we summarize and contribute to literature documenting activities MTEs use in mathematics…

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…

Black Mathematics Educators: Researching toward Racial Emancipation of Black Students

ERIC Educational Resources Information Center

Ridgeway, Monica L.; McGee, Ebony O.

2018-01-01

This article focuses on the scholarship of Black mathematics education researchers whose work focuses on Black students in P-20 mathematics spaces. We conducted a metasynthesis literature review of empirical studies by Black mathematics education researchers. The authors utilized critical theories of race and racism to aid in the synthesis of the…

Student-Teachers in Higher Education Institutions' (HEIs) Emotional Intelligence and Mathematical Competencies

ERIC Educational Resources Information Center

Eustaquio, William Rafael

2015-01-01

As manifested by various studies conducted, the present state of Mathematics education in the teaching-learning process is relatively declining and the existing effort to identify emotional intelligence and mathematics competencies of Mathematics major student-teachers at Higher Education Institutions in Isabela is an attempt to help alleviate the…

Mathematical Modeling in Mathematics Education: Basic Concepts and Approaches

ERIC Educational Resources Information Center

Erbas, Ayhan Kürsat; Kertil, Mahmut; Çetinkaya, Bülent; Çakiroglu, Erdinç; Alacaci, Cengiz; Bas, Sinem

2014-01-01

Mathematical modeling and its role in mathematics education have been receiving increasing attention in Turkey, as in many other countries. The growing body of literature on this topic reveals a variety of approaches to mathematical modeling and related concepts, along with differing perspectives on the use of mathematical modeling in teaching and…

Teaching Mathematical Modeling in Mathematics Education

ERIC Educational Resources Information Center

Saxena, Ritu; Shrivastava, Keerty; Bhardwaj, Ramakant

2016-01-01

Mathematics is not only a subject but it is also a language consisting of many different symbols and relations. Taught as a compulsory subject up the 10th class, students are then able to choose whether or not to study mathematics as a main subject. The present paper discusses mathematical modeling in mathematics education. The article provides…

An explanatory model of maths achievement:Perceived parental involvement and academic motivation.

PubMed

Rodríguez, Susana; Piñeiro, Isabel; Gómez-Taibo, Mª L; Regueiro, Bibiana; Estévez, Iris; Valle, Antonio

2017-05-01

Although numerous studies have tried to explain performance in maths very few have deeply explored the relationship between different variables and how they jointly explain mathematical performance. With a sample of 897 students in 5th and 6th grade in Primary Education and using structural equation modeling (SEM), this study analyzes how the perception of parents’ beliefs is related to children´s beliefs, their involvement in mathematical tasks and their performance. Perceived parental involvement contributes to the motivation of their children in mathematics. Direct supervision of students’ academic work by parents may increase students’ concerns about the image and rating of their children, but not their academic performance. In fact, maths achievement depends directly and positively on the parents’ expectations and children’s maths self-efficacy and negatively on the parents’ help in tasks and performance goal orientation. Perceived parental involvement contributes to children’s motivation in maths essentially conveying confidence in their abilities and showing interest in their progress and schoolwork.

Driven by History: Mathematics Education Reform

ERIC Educational Resources Information Center

Permuth, Steve; Dalzell, Nicole

2013-01-01

The advancement of modern societies is fueled by mathematics, and mathematics education provides the foundation upon which future scientists and engineers will build. Society dictates how mathematics will be taught through the development and implementation of mathematics standards. When examining the progression of these standards, it is…

Between the Academic Mathematics and the Mathematics Education Worlds.

ERIC Educational Resources Information Center

Moreira, Candida Queiroz

1997-01-01

Investigated stresses confronted by Portuguese secondary mathematics teachers during the first semester in a master's course, Perspectives on Mathematics Education, noting how they negatively affected teachers' self-confidence and morale and discussing fundamental issues teachers addressed in bridging the academic mathematics and mathematics…

Evaluation Theory for Developmental Mathematics Practitioners

ERIC Educational Resources Information Center

Duranczyk, Irene Mary

2007-01-01

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

Student perception of the impact of mathematics support in higher education

NASA Astrophysics Data System (ADS)

Fhloinn, E. Ní; Fitzmaurice, O.; Bhaird, C. Mac an; O'Sullivan, C.

2014-10-01

Mathematics support in higher education has become increasingly widespread over the past two decades, particularly in the UK, Ireland and Australia. Despite this, reliable evaluation of mathematics support continues to present challenges for those working in this area. One reason is because ideally, properly structured support should function as an integral part of the overall educational experience of the student, in tandem with lectures and tutorials. When this occurs, it makes it difficult to isolate the impact of mathematics support from these other entities. In this paper, the results of a large-scale nationwide survey conducted with first-year service mathematics students in nine higher education institutes in Ireland are considered, exploring students' perceptions of the impact of mathematics support upon their retention, mathematical confidence, examination performance and overall ability to cope with the mathematical demands they face. Students were extremely positive about the effectiveness of mathematics support in all of these areas, providing valuable insights into the value of learning support in mathematics.

International Space Education Outreach: Taking Exploration to the Global Classroom

NASA Technical Reports Server (NTRS)

Dreschel, T. W.; Lichtenberger, L. A.; Chetirkin, P. V.; Garner, L. C.; Barfus, J. R.; Nazarenko, V. I.

2005-01-01

With the development of the International Space Station and the need for international collaboration for returning to the moon and developing a mission to Mars, NASA has embarked on developing international educational programs related to space exploration. In addition, with the explosion of educational technology, linking students on a global basis is more easily accomplished. This technology is bringing national and international issues into the classroom, including global environmental issues, the global marketplace, and global collaboration in space. We present the successes and lessons learned concerning international educational and public outreach programs that we have been involved in for NASA as well as the importance of sustaining these international peer collaborative programs for the future generations. These programs will undoubtedly be critical in enhancing the classroom environment and will affect the achievements in and attitudes towards science, technology, engineering and mathematics.

Mathematics Teacher Education Quality in TEDS-M: Globalizing the Views of Future Teachers and Teacher Educators

ERIC Educational Resources Information Center

Hsieh, Feng-Jui; Law, Chiu-Keung; Shy, Haw-Yaw; Wang, Ting-Ying; Hsieh, Chia-Jui; Tang, Shu-Jyh

2011-01-01

The Teacher Education and Development Study in Mathematics, sponsored by the International Association for the Evaluation of Educational Achievement, is the first data-based study about mathematics teacher education with large-scale samples; this article is based on its data but develops a stand-alone conceptual framework to investigate the…

The Mathematical Event: Mapping the Axiomatic and the Problematic in School Mathematics

ERIC Educational Resources Information Center

de Freitas, Elizabeth

2013-01-01

Traditional philosophy of mathematics has been concerned with the nature of mathematical objects rather than events. This traditional focus on reified objects is reflected in dominant theories of learning mathematics whereby the learner is meant to acquire familiarity with ideal mathematical objects, such as number, polygon, or tangent. I argue…

Investigating Alignment between Elementary Mathematics Teacher Education and Graduates' Teaching of Mathematics for Conceptual Understanding

ERIC Educational Resources Information Center

Jansen, Amanda; Berk, Dawn; Meikle, Erin

2017-01-01

In this article, Amanda Jansen, Dawn Berk, and Erin Meikle investigate the impact of mathematics teacher education on teaching practices. In their study they interviewed six first-year teachers who graduated from the same elementary teacher education program and who were oriented toward teaching mathematics conceptually. They observed each teacher…

Mathematics Education in Singapore--An Insider's Perspective

ERIC Educational Resources Information Center

Kaur, Berinderjeet

2014-01-01

Singapore's Education System has evolved over time and so has Mathematics Education in Singapore. The present day School Mathematics Curricula can best be described as one that caters for the needs of every child in school. It is based on a framework that has mathematical problem solving as its primary focus. The developments from 1946 to 2012…

Mathematics Education in Rural Communities in Light of Current Trends in Mathematics Education. Working Paper.

ERIC Educational Resources Information Center

Schultz, James E.

Despite the considerable efforts now under way to improve our nation's mathematics education for all students, students in rural settings do not receive their share of attention. This paper considers school mathematics in rural communities in the larger context of current reform from a number of perspectives, including curricular materials,…

The Effect of the Success in Teaching Geometry of Basic Level Education Mathematics

ERIC Educational Resources Information Center

Yavuz, Ayse; Aydin, Bünyamin; Avci, Musa

2016-01-01

The purpose of this study was to investigate primary and secondary mathematics teachers' candidates' effect of the success in geometry education. The sample of the study consists of students first and last class preservice primary mathematics teachers which are enrolled program education at department of mathematics and students first and last…

The Effects of an Educational Video Game on Mathematical Engagement

ERIC Educational Resources Information Center

Chang, Mido; Evans, Michael A.; Kim, Sunha; Norton, Anderson; Deater-Deckard, Kirby; Samur, Yavuz

2016-01-01

In an effort to maximizing success in mathematics, our research team implemented an educational video game in fifth grade mathematics classrooms in five schools in the Eastern US. The educational game was developed by our multi-disciplinary research team to achieve a hypothetical learning trajectory of mathematical thinking of 5th grade students.…

A Categorization Model for Educational Values of the History of Mathematics: An Empirical Study

ERIC Educational Resources Information Center

Wang, Xiao-qin; Qi, Chun-yan; Wang, Ke

2017-01-01

There is not a clear consensus on the categorization framework of the educational values of the history of mathematics. By analyzing 20 Chinese teaching cases on integrating the history of mathematics into mathematics teaching based on the relevant literature, this study examined a new categorization framework of the educational values of the…

"Theory at the Crossroads": Mapping Moments of Mathematics Education Research onto Paradigms of Inquiry

ERIC Educational Resources Information Center

Stinson, David W.; Walshaw, Margaret

2017-01-01

In this essay, traveling through the past half-century, the authors illustrate how mathematics education research shifted, theoretical, beyond its psychological and mathematical roots. Mapping four historical moments of mathematics education research onto broader paradigms of inquiry, the authors make a case for the field to take up a theoretical…

Mathematics as an Im/Pure Knowledge System: Symbiosis, (W)Holism and Synergy in Mathematics Education

ERIC Educational Resources Information Center

Luitel, Bal Chandra

2013-01-01

The problem of culturally decontextualised mathematics education faced by Nepali students, teachers and teacher educators has often been oriented by the view of the nature of "mathematics as a body of pure knowledge," which gives rise to an exclusive emphasis on an ideology of singularity, epistemology of objectivism, language of…

Challenging Transitions and Crossing Borders: Preparing Novice Mathematics Teacher Educators to Support Novice K-12 Mathematics Teachers

ERIC Educational Resources Information Center

Yow, Jan A.; Eli, Jennifer A.; Beisiegel, Mary; McCloskey, Andrea; Welder, Rachael M.

2016-01-01

Sixty-nine recently graduated doctoral students in mathematics education completed a survey to determine their perceptions of transitioning from a doctoral program into an academic position at an institution of higher education. Research literature for novice mathematics school teachers was also reviewed to document their experiences transitioning…

Shaping the Future of Mathematics Education. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia (33rd, Freemantle, Western Australia, Australia, July 3-7, 2010)

ERIC Educational Resources Information Center

Sparrow, Len, Ed.; Kissane, Barry, Ed.; Hurst, Chris, Ed.

2010-01-01

These collected papers are a record of the proceedings of the 33rd Annual Conference of the Mathematics Education Research Group of Australasia entitled, "Shaping the Future of Mathematics Education." The conference is held in Fremantle, as was the previous conference a decade earlier. Keynote speakers are discussing issues that are emerging more…

Policy, Practice, and Readiness to Teach Primary and Secondary Mathematics in 17 Countries: Findings from the IEA Teacher Education and Development Study in Mathematics (TEDS-M-M)

ERIC Educational Resources Information Center

Tatto, Maria Teresa; Peck, Ray; Schwille, John; Bankov, Kiril; Senk, Sharon L.; Rodriguez, Michael; Ingvarson, Lawrence; Reckase, Mark; Rowley, Glenn

2012-01-01

The Teacher Education Study in Mathematics (TEDS-M) 2008 is the first cross-national study to provide data on the knowledge that future primary and lower-secondary school teachers acquire during their mathematics teacher education. It is also the first major study to examine variations in the nature and influence of teacher education programs…

Contributions from sociology of science to mathematics education in Brazil: logic as a system of beliefs

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de Andrade, Thales Haddad Novaes; Vilela, Denise Silva

2013-09-01

In Brazil, mathematics education was associated with Jean Piaget's theory. Scholars in the field of education appropriated Piaget's work in different ways, but usually emphasized logical aspects of thought, which probably lead to an expansion of mathematics education influenced by psychology. This study attempts to extend the range of interlocutions and pose a dialogue between the field of mathematics education in Brazil and the sociology of science proposed by David Bloor. The main point of Bloor's theory is that logical-mathematical knowledge is far from being true and universal and is socially conditioned. In particular we will be discussing the first principle of the strong program, which deals with conditions that generate beliefs promoted by education policies in Brazil, such as the MEC/USAID treaties. In this case the "naturalization of logic" was stimulated by a widespread diffusion of both Piaget studies and the Modern Mathematics Movement.

Educating in Place: Mathematics and Technology

ERIC Educational Resources Information Center

Klein, Robert

2007-01-01

Mathematics education discourse routinely promotes the idea that mathematics is everywhere. That mathematics is everywhere seems a reasonable implication of "We all use math everyday." Modern technology, mostly in the form of computational devices and control systems, is often cited as evidence of the omnipresence of mathematics.…

Mathematics Education as a Field of Research: Have We Become Too Comfortable?

ERIC Educational Resources Information Center

Lowrie, Tom

2015-01-01

Mathematics education is highly regarded as a research field within our region, especially when compared to other fields within the broader education discipline. The field has been relatively cohesive, well organised and internationally influential in a universally strong field. Mathematics education research has developed and evolved in…

Developing Education Research Competencies in Mathematics Teachers through TRAIL: Teacher-Researcher Alliance for Investigating Learning

ERIC Educational Resources Information Center

Koichu, Boris; Pinto, Alon

2018-01-01

This theoretical article explores an issue of developing education research competencies in mathematics teachers through their involvement in mathematics education research. We first argue that the development of education research competencies is beneficial for the teachers' professional growth. We then identify opportunities for mathematics…

Educational Neuroscience: New Horizons for Research in Mathematics Education

ERIC Educational Resources Information Center

Campbell, Stephen R.

2006-01-01

This paper outlines an initiative in mathematics education research that aims to augment qualitative methods of research into mathematical cognition and learning with quantitative methods of psychometrics and psychophysiology. Background and motivation are provided for this initiative, which is coming to be referred to as educational neuroscience.…

A Framework for Understanding Whiteness in Mathematics Education

ERIC Educational Resources Information Center

Battey, Dan; Leyva, Luis A.

2016-01-01

In this article, the authors provide a framework for understanding whiteness in mathematics education. While whiteness is receiving more attention in the broader education literature, only a handful of scholars address whiteness in mathematics education in any form. This lack of attention to whiteness leaves it invisible and neutral in documenting…

Structure of Primary Mathematics Teacher Education Programs in Spain

ERIC Educational Resources Information Center

Cañadas, María C.; Gómez, Pedro; Rico, Luis

2013-01-01

Spain was 1 of the 17 countries that participated in the International Association for the Evaluation of Educational Achievement's Teacher Education and Development Study in Mathematics (TEDS-M 2008). In this paper, we explore and describe the structure of Spanish primary mathematics teacher education programs. We analyzed the documents collected…

Establishing Mathematics for Teaching within Classroom Interactions in Teacher Education

ERIC Educational Resources Information Center

Ryve, Andreas; Nilsson, Per; Mason, John

2012-01-01

Teacher educators' processes of establishing "mathematics for teaching" in teacher education programs have been recognized as an important area for further research. In this study, we examine how two teacher educators establish and make explicit features of mathematics for teaching within classroom interactions. The study shows how the…

Problematising the Pursuit of Progress in Mathematics Education

ERIC Educational Resources Information Center

Llewellyn, Anna

2016-01-01

In this article, I use a Foucauldian poststructural analysis to examine productions of progress within key discursive spaces of mathematics education. These sites of production are educational policy, mathematics education research and case studies of primary school student-teachers in England. From my analysis, I show how progress governs what is…

Effects of Modern Educational Game Play on Attitudes towards Mathematics, Mathematics Self-Efficacy, and Mathematics Achievement

ERIC Educational Resources Information Center

Ritzhaupt, Albert; Higgins, Heidi; Allred, Beth

2011-01-01

This study investigated the effects of modern educational game playing on middle school students' attitudes towards mathematics, mathematics self-efficacy, and mathematics achievement. Two hundred twenty-five middle school students from four different Title 1 schools in two different counties in the southeastern United States were recruited.…

Difficulties in initial algebra learning in Indonesia

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Jupri, Al; Drijvers, Paul; van den Heuvel-Panhuizen, Marja

2014-12-01

Within mathematics curricula, algebra has been widely recognized as one of the most difficult topics, which leads to learning difficulties worldwide. In Indonesia, algebra performance is an important issue. In the Trends in International Mathematics and Science Study (TIMSS) 2007, Indonesian students' achievement in the algebra domain was significantly below the average student performance in other Southeast Asian countries such as Thailand, Malaysia, and Singapore. This fact gave rise to this study which aims to investigate Indonesian students' difficulties in algebra. In order to do so, a literature study was carried out on students' difficulties in initial algebra. Next, an individual written test on algebra tasks was administered, followed by interviews. A sample of 51 grade VII Indonesian students worked the written test, and 37 of them were interviewed afterwards. Data analysis revealed that mathematization, i.e., the ability to translate back and forth between the world of the problem situation and the world of mathematics and to reorganize the mathematical system itself, constituted the most frequently observed difficulty in both the written test and the interview data. Other observed difficulties concerned understanding algebraic expressions, applying arithmetic operations in numerical and algebraic expressions, understanding the different meanings of the equal sign, and understanding variables. The consequences of these findings on both task design and further research in algebra education are discussed.

Mathematics reform in the education of deaf and hard of hearing students.

PubMed

Pagliaro, C M

1998-03-01

In response to increased demand for competent workers who possess skills in problem solving, cooperative work, and technology, education professionals have set out to reform mathematics education. The purpose of the present study was to determine the state of mathematics reform in the education of deaf and hard of hearing students. A national survey was sent to administrators and faculty at schools for the Deaf seeking information on mathematics programs and instruction. Data were analyzed by profession (i.e., administrator, teacher) and grade level (K-4, 5-8, 9-12). Results show that some aspects of reform (e.g., problem solving, use of concrete materials) have been incorporated into the deaf education mathematics curriculum but that many 'traditional' techniques (e.g., drill and practice, rote memorization) remain in use. Data support the need for increased attention to mathematics education reform within deaf education. Recommendations are provided to professionals in the field to better prepare students for the 21st century.

Weaving History through the Major

ERIC Educational Resources Information Center

Mayfield, Betty

2014-01-01

The benefits of including the study of the history of mathematics in the education of mathematics majors have been discussed at length elsewhere. Many colleges and universities now offer a History of Mathematics course for mathematics majors, for mathematics education majors, or for general credit. At Hood College, we emphasize our commitment to…

Mathematical Modelling Approach in Mathematics Education

ERIC Educational Resources Information Center

Arseven, Ayla

2015-01-01

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

Pre-Service Teachers' Mathematics Content Knowledge: Implications for How Mathematics Is Taught in Higher Education

ERIC Educational Resources Information Center

Lowrie, Tom; Jorgensen, Robyn

2016-01-01

This investigation explored pre-service teachers' mathematics content knowledge (MCK) and beliefs associated with mathematics education practices. An Exploratory Factor Analysis, conducted on a beliefs and attitudes questionnaire, produced three common attitude factors associated with (1) inquiry-based teaching; (2) how mathematics knowledge is…

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

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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.

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…

Studies in Mathematics, Volume X. Applied Mathematics in the High School.

ERIC Educational Resources Information Center

Schiffer, Max M.

This publication contains a sequence of lectures given to high school mathematics teachers by the author. Applications of mathematics emphasized are elementary algebra, geometry, and matrix algebra. Included are: (1) an introduction concerning teaching applications of mathematics; (2) Chapter 1: Mechanics for the High School Student; (3) Chapter…

A Contemporary Analysis of the Content of Mathematics for Liberal Education at the College Level

ERIC Educational Resources Information Center

Sporn, Howard Bruce

2010-01-01

The purpose of this study is to determine whether educators believe mathematics should be taught to liberal arts students, what topics are taught in liberal arts mathematics courses, and what the motivation is for teaching such topics. The study consists of two parts, a review of the opinions of educators regarding liberal arts mathematics, and a…

Educational Cloud Services and the Mathematics Confidence, Affective Engagement, and Behavioral Engagement of Mathematics Education Students in Public University in Benue State, Nigeria

ERIC Educational Resources Information Center

Iji, Clement Onwu; Abah, Joshua Abah; Anyor, Joseph Wuave

2018-01-01

This study investigated the impact of cloud services on mathematics education students' mathematics confidence, affective engagement, and behavioral engagement in public universities in Benue State, Nigeria. Ex-post facto research design was adopted for the study. The instrument for the study was the researcher-developed Cloud Services Mathematics…

TPACK and Pre-Service Teacher Mathematics Education: Defining a Signature Pedagogy for Mathematics Education Using ICT and Based on the Metaphor "Mathematics Is a Language"

ERIC Educational Resources Information Center

Larkin, Kevin; Jamieson-Proctor, Romina; Finger, Glenn

2012-01-01

National professional standards for teachers in Australia (AITSL, 2011) expect teacher education graduates to demonstrate technological, pedagogical and content knowledge (TPACK). Those standards have emerged concurrently with the development of a new Australian mathematics curriculum. Thus, the expectation is that graduates can demonstrate the…

The Singapore System: An Example of How the U.S. Can Improve Its Mathematics Education System

ERIC Educational Resources Information Center

Sami, Fary

2012-01-01

During the last 20 years, there has been an increasing awareness that the U.S. is falling behind in its mathematics education of primary and secondary school students. For those who teach mathematics at the community college level, the deficiencies in mathematics education are painfully evident by the number of students requiring remedial math…

Mapping Pre-Service Teacher Talk: Variations in Talk about Mathematics, Ability, and Themselves as Mathematical Learners

ERIC Educational Resources Information Center

Tracy, Jacob Dennis

2017-01-01

It has been argued that teachers do not always teach in the ways their teacher education programs promoted. One cause of this problem has to do with teachers' conceptions about mathematics and ability being incompatible with the visions of mathematics that teacher educators promote. For example, teacher educators may emphasize the need for…

Distance Mathematics Education as a Means for Tackling Impulse Control Disorder: The Case of a Young Convict

ERIC Educational Resources Information Center

Ahl, Linda; Aguilar, Mario Sánchez; Jankvist, Uffe Thomas

2017-01-01

While distance education (DE) is often considered as a means to provide mathematical education to students in remote locations or to promote the professional development of mathematics teachers, this article reports a case showing that DE may also be useful in providing mathematical instruction to individuals who are marginalized or disadvantaged…

Transition from Realistic to Real World Problems with the Use of Technology in Elementary Mathematical Education

ERIC Educational Resources Information Center

Budinski, Natalija; Milinkovic, Dragica

2017-01-01

The availability of technology has a big impact on education, and that is the main reason for discussing the use of technologies in mathematical education in our paper. The availability of technology influences how mathematical contents could be presented to students. We present the benefits of learning mathematical concepts through real life…

Proceedings of the 1984 Annual Meeting of the Canadian Mathematics Education Study Group (8th, Waterloo, Ontario, June 2-6, 1984).

ERIC Educational Resources Information Center

Verhille, Charles, Ed.

Papers from the eighth annual meeting of the Canadian Mathematics Education Study Group are presented, beginning with a lecture by Alan Bishop on "The Social Construction of Meaning--A Significant Development for Mathematics Education." Also included are reports of four working groups: "LOGO and the Mathematics Curriculum"…

Proceedings of the China-Japan-U.S. Seminar on Mathematical Education.

ERIC Educational Resources Information Center

Zhang, Dianzhou, Ed.; And Others

This document contains the proceedings of the China-Japan-U.S. Seminar on Mathematical Education that was held in 1993 in China. The focus of the Seminar was problem solving in mathematics education. The main purposes of the seminar were: to examine the present states of problem solving in school mathematics in China, Japan, and the U.S.; to…

If You Had To Tell an Alien What Math Is...: Construct of Mathematics and SQUARE ONE TV.

ERIC Educational Resources Information Center

Debold, Elizabeth

The ideas of the nature, purpose, and scope of mathematics held by students is an issue of interest to the mathematics education community. Movement from a mathematics as discrete operations perspective to a mathematics as problem-solving perspective is a desired change in mathematics education reform. A pretest/posttest experimental design study…

Snips and Snails and Puppy Dogs' Tails: Genderism and Mathematics Education

ERIC Educational Resources Information Center

Esmonde, Indigo

2011-01-01

This paper contrasts public discussions about the educational troubles of boys and girls to consider what a gender equitable mathematics education might look like. Both public discussions and mathematics education research typically do not carefully define or theorize gender, tend to essentialize gender, and have narrow or unclear definitions of…

"Math Makes Me Sweat" The Impact of Pre-Service Courses on Mathematics Anxiety

ERIC Educational Resources Information Center

Johnson, Beth; vanderSandt, Suriza

2011-01-01

We investigate mathematics anxiety amongst education majors currently enrolled as pre-service teachers in special education, deaf and hard of hearing, early childhood and elementary education. The impact of a compulsory freshmen content course and sophomore methodology course on mathematics anxiety for each education major was studied over a two…

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…

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

NASA Astrophysics Data System (ADS)

Attard, Catherine

2011-09-01

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

Narrative assessment: making mathematics learning visible in early childhood settings

NASA Astrophysics Data System (ADS)

Anthony, Glenda; McLachlan, Claire; Lim Fock Poh, Rachel

2015-09-01

Narratives that capture children's learning as they go about their day-to-day activities are promoted as a powerful assessment tool within early childhood settings. However, in the New Zealand context, there is increasing concern that learning stories—the preferred form of narrative assessment—currently downplay domain knowledge. In this paper, we draw on data from 13 teacher interviews and samples of 18 children's learning stories to examine how mathematics is made visible within learning stories. Despite appreciating that mathematics is embedded in a range of everyday activities within the centres, we found that the nature of a particular activity appeared to influence `how' and `what' the teachers chose to document as mathematics learning. Many of the teachers expressed a preference to document and analyse mathematics learning that occurred within explicit mathematics activities rather than within play that involves mathematics. Our concern is that this restricted documentation of mathematical activity could potentially limit opportunities for mathematics learning both in the centre and home settings.

Ethnomathematics and Education.

ERIC Educational Resources Information Center

Borba, Marcelo C.

1990-01-01

Discussed is the notion of ethnomathematics as an epistemological approach to mathematics. The relationship between ethnomathematics and mathematics education is described. Suggestions regarding mathematical pedagogy are provided. (CW)

Vicissitudes of Children's Mathematical Knowledge: Implications of Developmental Research for Early Childhood Mathematics Education

ERIC Educational Resources Information Center

Sophian, Catherine

2013-01-01

Hachey's (2013) article celebrates a revolution that is taking place in early childhood mathematics education, fueled in part by developmental research demonstrating the mathematical capabilities of young children. At the same time, Hachey notes that the mathematics revolution she describes is not yet complete. In this commentary, the author…

History of Modern Applied Mathematics in Mathematics Education

ERIC Educational Resources Information Center

Jankvist, Uffe Thomas

2009-01-01

This article discusses the integration of history of modern applied mathematics in mathematics education as well as the possible teaching and learning benefits of introducing a newer history of mathematics over an old(er) one--something that seems to be done most often when integrating history. Three cases of the history of modern applied…

Felix Klein and the NCTM's Standards: A Mathematician Considers Mathematics Education.

ERIC Educational Resources Information Center

McComas, Kim Krusen

2000-01-01

Discusses the parallels between Klein's position at the forefront of a movement to reform mathematics education and that of the National Council of Teachers of Mathematics' (NCTM) Standards. Draws a picture of Klein as an important historical figure who saw equal importance in studying pure mathematics, applying mathematics, and teaching…

Classroom Culture, Mathematics Culture, and the Failures of Reform: The Need for a Collective View of Culture

ERIC Educational Resources Information Center

Gill, Michele Gregoire; Boote, David

2012-01-01

Background/Context: Despite the tremendous amount of effort devoted by many mathematics educators to promote, defend, and implement reform-based mathematics education, procedural mathematics, which locates mathematical correctness in the procedures learned from textbooks and teachers, persists. Many researchers have identified school and classroom…

A Study of Mathematics Infusion in Middle School Technology Education Classes

ERIC Educational Resources Information Center

Burghardt, M. David; Hecht, Deborah; Russo, Maria; Lauckhardt, James; Hacker, Michael

2010-01-01

The present study examined the impact of introducing a mathematics infused engineering/technology education (ETE) curriculum on students' mathematics content knowledge and attitudes toward mathematics. The purpose of the present study was to: (a) compare the effects of a mathematics infused ETE curriculum and a control curriculum on student…

Blurring Boundaries within Mathematics Education: Prospective K-8 Teachers Interrogating Intersectional Identities, Narratives, and Positionings in Out-of-School Contexts

ERIC Educational Resources Information Center

Guzman, Lynette DeAun

2017-01-01

Mathematics teacher noticing as a pedagogical practice--attending to, interpreting, and responding to children's mathematical thinking--is growing within mathematics education communities. Much of the research literature primarily focuses on supporting teacher noticing of children's mathematical thinking within classroom contexts, such as…

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)

Research on Mathematics Education Reported in 1984.

ERIC Educational Resources Information Center

Suydam, Marilyn N.

This is the fifteenth annual listing of research on mathematics education prepared for the "Journal for Research in Mathematics Education." References are organized alphabetically by author within three categories: research summaries, articles, and dissertations. Included are 33 summaries, 220 articles, and 297 dissertations. Studies…

Proceedings of the 2004 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2004 du Groupe Canadien d'Etude en Didactique des Mathematiques (28th, Quebec City, Quebec, Canada, May 28-Jun 1, 2004)

ERIC Educational Resources Information Center

Simmt, Elaine, Ed.; Davis, Brent, Ed.

2005-01-01

This submission contains the Proceedings of the 2004 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Universite Laval in Quebec City, Quebec. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study…

Proceedings of the 2013 Annual Meeting of the Canadian Mathematics Education Study Group = Actes De La Rencontre Annuelle 2013 Du Groupe Canadien D'étude en Didactique Des Mathématiques (37th, St. Catharines, Ontario, Canada, May 24-28, 2013)

ERIC Educational Resources Information Center

Oesterle, Susan, Ed.; Allan, Darien, Ed.

2014-01-01

This submission contains the Proceedings of the 2013 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Brock University in St. Catharines, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

Proceedings of the 2007 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2007 du Groupe Canadien d'Etude en Didactique des Mathematiques (31st, Fredricton, New Brunswick, Canada, Jun 8-12, 2007)

ERIC Educational Resources Information Center

Liljedahl, Peter, Ed.

2008-01-01

This submission contains the Proceedings of the 2007 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of New Brunswick in Fredricton, New Brunswick. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.…

Proceedings of the 2009 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2009 du Groupe Canadien d'Etude en Didactique des Mathematiques (33rd, Toronto, Ontario, Canada, June 5-June 9, 2009)

ERIC Educational Resources Information Center

Liljedahl, Peter, Ed.; Oesterle, Susan, Ed.; Abu-Bakare, Veda, Ed.

2010-01-01

This submission contains the Proceedings of the 2009 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at York University in Toronto, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study Group…

Proceedings of the 2010 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2010 du Groupe Canadien d'Etude en Didactique des Mathematiques (34th, Burnaby, British Columbia, Canada, May 21-25, 2010)

ERIC Educational Resources Information Center

Liljedahl, Peter, Ed.; Oesterle, Susan, Ed.; Allan, Darien, Ed.

2011-01-01

This submission contains the Proceedings of the 2010 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Simon Fraser University in Burnaby, British Columbia. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims…

Proceedings of the 2002 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2002 du Groupe Canadien d'Etude en Didactique des Mathematiques (26th, Kingston, Ontario, Canada, May 24-28, 2002)

ERIC Educational Resources Information Center

Simmt, Elaine, Ed.; Davis, Brent, Ed.

2003-01-01

This submission contains the Proceedings of the 2002 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Queen's University in Kingston, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study…

Proceedings of the 2005 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2005 du Groupe Canadien d'Etude en Didactique des Mathematiques (29th, Ottawa, Ontario, Canada, May 27-31, 2005)

ERIC Educational Resources Information Center

Liljedahl, Peter, Ed.

2006-01-01

This submission contains the Proceedings of the 2005 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Ottawa in Ottawa, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

Proceedings of the 2008 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2008 du Groupe Canadien d'Etude en Didactique des Mathematiques (32nd, Sherbrooke, Quebec, Canada, May 23-27, 2008)

ERIC Educational Resources Information Center

Liljedahl, Peter, Ed.; Oesterle, Susan, Ed.; Berneche, Christian, Ed.

2009-01-01

This submission contains the Proceedings of the 2008 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the Universite de Sherbrooke in Sherbrooke, Quebec. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of…

Proceedings of the 2016 Annual Meeting of the Canadian Mathematics Education Study Group = Actes De La Rencontre Annuelle 2016 Du Groupe Canadien D'étude en Didactique Des Mathématiques (40th, Kingston, Ontario, Canada, June 3-7, 2016)

ERIC Educational Resources Information Center

Oesterle, Susan, Ed.; Allan, Darien, Ed.; Holm, Jennifer, Ed.

2017-01-01

This submission contains the Proceedings of the 2016 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Queen's University in Kingston, Ontario. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study…

Proceedings of the 2015 Annual Meeting of the Canadian Mathematics Education Study Group = Actes De La Rencontre Annuelle 2015 Du Groupe Canadien D'etude en Didactique Des Mathematiques (39th, Moncton, New Brunswick, Canada, June 5-9, 2015)

ERIC Educational Resources Information Center

Oesterle, Susan, Ed.; Allan, Darien, Ed.

2015-01-01

This submission contains the Proceedings of the 2015 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the Université de Moncton in Moncton, New Brunswick. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of…

Proceedings of the 2003 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2003 du Groupe Canadien d'Etude en Didactique des Mathematiques (27th, Wolfville, Nova Scotia, Canada, May 30-June 3, 2003)

ERIC Educational Resources Information Center

Simmt, Elaine, Ed.; Davis, Brent, Ed.

2004-01-01

This submission contains the Proceedings of the 2003 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Acadia University in Wolfville, Nova Scotia. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

Proceedings of the 2006 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2006 du Groupe Canadien d'Etude en Didactique des Mathematiques (30th, Calgary, Alberta, Canada, Jun 3-7, 2006)

ERIC Educational Resources Information Center

Liljedahl, Peter, Ed.

2007-01-01

This submission contains the Proceedings of the 2006 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Calgary in Calgary, Alberta. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

Mathematics Education in the South Pacific. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia Incorporated (25th, Auckland, New Zealand, July 7-10, 2002). Volume I [and] Volume II.

ERIC Educational Resources Information Center

Barton, Bill, Ed.; Irwin, Kathryn C., Ed.; Pfannkuch, Maxine, Ed.; Thomas, Michael O. J., Ed.

This document contains the proceedings of the 25th annual conference of the Mathematics Education Research Group of Australia (MERGA) held at the University of Auckland, New Zealand. The focus of this meeting is mathematics education in the South Pacific. Presentations are centered around the topic of numeracy in primary or elementary school.…

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…

Guidebook to excellence, 1994: A directory of federal resources for mathematics and science education improvement

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

Not Available

1994-04-01

The purpose of this Guidebook to Excellence is to assist educators, parents, and students across the country in attaining the National Education Goals, particularly Goal 4: By the year 2000, US students will be first in the world in science and mathematics achievement. The Guidebook will help make the education community aware of the Federal Government`s extensive commitment to mathematics and science education. Sixteen Federal agencies collaborated with the Eisenhower National Clearinghouse to produce this publication. Although the Guidebook contains valuable information for anyone involved in mathematics and science education, its focus is on the elementary and secondary levels.

Can Scientific Research Answer the "What" Question of Mathematics Education?

ERIC Educational Resources Information Center

van den Heuvel-Panhuizen, Marja

2005-01-01

This paper problematizes the issue of how decisions about the content of mathematics education can be made. After starting with two examples where research in mathematics education resulted in different choices on the content of primary school teaching, I explore where and how, in the scientific enterprise within the domain of education, issues of…

Contributions from Sociology of Science to Mathematics Education in Brazil: Logic as a System of Beliefs

ERIC Educational Resources Information Center

Novaes de Andrade, Thales Haddad; Vilela, Denise Silva

2013-01-01

In Brazil, mathematics education was associated with Jean Piaget's theory. Scholars in the field of education appropriated Piaget's work in different ways, but usually emphasized logical aspects of thought, which probably lead to an expansion of mathematics education influenced by psychology. This study attempts to extend the range of…

Strategies Used to Teach Mathematics to Special Education Students from the Teachers' Perspective

ERIC Educational Resources Information Center

Brown, Desline A.

2016-01-01

The perspectives of special education teachers on the strategies used to teach mathematics to special education students were examined in this dissertation. Three central research questions that guided the study are: (a) What were New York special education teachers' opinions about the methods they use to teach mathematics to special education…

Influence of Gender, Single-Sex and Co-Educational Schooling on Students' Enjoyment and Achievement in Mathematics

ERIC Educational Resources Information Center

Prendergast, Mark; O'Donoghue, John

2014-01-01

This research investigates the influence that gender, single-sex and co-educational schooling can have on students' mathematics education in second-level Irish classrooms. Although gender differences in mathematics education have been the subject of research for many years, recent results from PISA (Programme for International Student Assessment)…

Research in Mathematics Education in Australasia, 1996-1999.

ERIC Educational Resources Information Center

Owens, Kay, Ed.; Mousley, Judy, Ed.

This volume presents different issues and views on research in mathematics education in Australia. Chapters include: (1) "An Introduction to This Review" (Kay Owens); (2) "Recent Research Monographs" (Kay Owens and editors of the monographs); (3) "Language Factors in Mathematics Education" (Nerida Ellerton, Ken…

Predicting Mathematical Aptitude for Higher Education

ERIC Educational Resources Information Center

McDonald, Betty

2008-01-01

This present study seeks to predict mathematical aptitude for higher education by examining the relationship between mathematics results from the Caribbean Examinations Council (CXC) general proficiency examination and the results from the General Certificate of Education (GCE) advanced level examination. This present study arose from a more…

Mathematics Education in Argentina

ERIC Educational Resources Information Center

Varsavsky, Cristina; Anaya, Marta

2009-01-01

This article gives an overview of the state of mathematics education in Argentina across all levels, in the regional and world contexts. Statistics are drawn from Mercosur and UNESCO data bases, World Education Indicators and various national time-series government reports. Mathematics results in national testing programmes, Programme for…

Mathematics Education as a Practice: A Theoretical Position

ERIC Educational Resources Information Center

Grootenboer, Peter; Edwards-Groves, Christine

2013-01-01

In this paper we will examine mathematics education using practice theory. We outline the theoretical and philosophical ideas that have been developed, and in particular, we discuss the "sayings," "doings," and "relatings" inherent in the teaching and learning practices of mathematics education. This theorising is…

Research on Mathematics Education Reported in 1983.

ERIC Educational Resources Information Center

Suydam, Marilyn N.

1984-01-01

This is the fourteenth annual listing of research on mathematics education prepared for the Journal for Research in Mathematics Education. References are organized alphabetically by author within three categories: research summaries, articles, and dissertations. Included are 37 summaries, 247 articles, and 300 dissertations. Studies focused on…

Promoting Leadership in Doctoral Programs in Mathematics Education

ERIC Educational Resources Information Center

Reys, Robert

2013-01-01

Mathematics educators have many different opportunities to reflect leadership throughout their careers. High quality doctoral programs provide a rich and stimulating environment that supports the development of leadership qualities. This paper describes some ways that leadership can be fostered in doctoral programs in mathematics education.

Mathematics Efficacy and Professional Development Needs of Wyoming Agricultural Education Teachers

ERIC Educational Resources Information Center

Haynes, J. Chris; Stripling, Christopher T.

2014-01-01

School-based agricultural education programs provide contextualized learning environments for the teaching of core academic subject matter. This study sought to examine the mathematics efficacy and professional development needs of Wyoming agricultural education teachers related to teaching contextualized mathematics. Wyoming agricultural…

Investigations in Mathematics Education, Vol. 13, No. 4.

ERIC Educational Resources Information Center

Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed.

Thirteen research reports related to mathematics education are abstracted and critiqued in this publication. The topics of the research include counting, addition, subtraction, ratio, proportion, geometry, problem solving, and teaching strategies. Also included is an editorial comment by T. Kieren on mathematics education research. Research…

Exploring Preservice Mathematics Teachers' Perception of the Mathematics Teacher through Communities of Practice

ERIC Educational Resources Information Center

Akkoç, Hatice; Balkanlioglu, Mehmet Ali; Yesildere-Imre, Sibel

2016-01-01

This research aimed to analyse the induction experiences of preservice mathematics teachers during their school placements through the lens of communities of practice. The main research question was concerned with how preservice mathematics teachers perceive what constitutes the practice of a professional community of mathematics teachers. A…

Developmental Mathematics College Students' Experiences of Mathematical Practices in a 4-Week Summer Learning Community Using Local Communities of Mathematical Practice

ERIC Educational Resources Information Center

Naidu, Bhupinder

2013-01-01

The research literature concerning traditionally aged college mathematics students' who require remediation, in beginning Algebra topics, states that these students lack confidence in their mathematical skills, have experienced failure and frustration in the past, have low self confidence issues with respect to mathematics and often lack…

Learning Mathematics for Teaching Mathematics: Non-Specialist Teachers' Mathematics Teacher Identity

ERIC Educational Resources Information Center

Crisan, Cosette; Rodd, Melissa

2017-01-01

A non-specialist teacher of mathematics is a school teacher who qualified to teach in a subject other than mathematics yet teaches mathematics to students in secondary school. There is an emerging interest internationally in this population, a brief report of which is given in the paper. Because of concerns about the quality of non-specialists'…

Investigation of Pre-School Teachers' Beliefs about Mathematics Education in Terms of Their Experience and Structure of Their Education

ERIC Educational Resources Information Center

Karatas, Ilhan; Guven, Bulent; Öztürk, Yasin; Arslan, Selahattin; Gürsöy, Kadir

2017-01-01

The aim of this study was to determine pre-school teachers' beliefs about teaching mathematics to young learners. In this context, we compared preschool teachers' beliefs with mathematical learning, talent-development-age appropriateness for mathematical learning, the nature of mathematics, the curriculum, teacher efficacy, and the teacher's role…

Toward an Analysis of Video Games for Mathematics Education

ERIC Educational Resources Information Center

Offenholley, Kathleen

2011-01-01

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

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

ERIC Educational Resources Information Center

Michelsen, Claus

2015-01-01

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

Evolution of Mathematics Teachers' Pedagogical Knowledge When They Are Teaching through Modeling

ERIC Educational Resources Information Center

Aydogan Yenmez, Arzu; Erbas, Ayhan Kursat; Alacaci, Cengiz; Cakiroglu, Erdinc; Cetinkaya, Bulent

2017-01-01

Use of mathematical modeling in mathematics education has been receiving significant attention as a way to develop students' mathematical knowledge and skills. As effective use of modeling in classes depends on the competencies of teachers we need to know more about the nature of teachers' knowledge to use modeling in mathematics education and how…

The Unit of Analysis in Mathematics Education: Bridging the Political-Technical Divide?

ERIC Educational Resources Information Center

Ernest, Paul

2016-01-01

Mathematics education is a complex, multi-disciplinary field of study which treats a wide range of diverse but interrelated areas. These include the nature of mathematics, the learning of mathematics, its teaching, and the social context surrounding both the discipline and applications of mathematics itself, as well as its teaching and learning.…

What Mathematics Should Adults Learn? Adult Mathematics Instruction as a Corollary to Two Decades of School Mathematics Reform

ERIC Educational Resources Information Center

Safford-Ramus, Katherine

2008-01-01

The paths of mathematics education reform for children and adults resemble two highways that join together for a distance then diverge, remaining parallel but distinct. The differences reflect the intrinsic distinction between pedagogy and andragogy. School mathematics must prepare children for all the possible paths that their educational journey…

Engaging Young Children in Mathematics: Standards for Early Childhood Mathematics Education. Studies in Mathematical Thinking and Learning Series

ERIC Educational Resources Information Center

Clements, Douglas H., Ed.; DiBiase, Ann-Marie, Ed.; Sarama, Julie, Ed.

2004-01-01

This book brings together the combined wisdom of a diverse group of experts involved with early childhood mathematics. The book originates from the landmark 2000 Conference on Standards for Pre-kindergarten and Kindergarten Mathematics Education, attended by representatives from almost every state developing standards for young children's…

How Manipulatives Affect the Mathematics Achievement of Students in Nigerian Schools

ERIC Educational Resources Information Center

Aburime, F. Ehi.

2007-01-01

Mathematics is a very important subject in Nigeria. Yet, for more than twenty years, mathematics education in Nigeria has been in a sorry state. Mathematics achievement has been very low and frustrating. So far, every effort made to save Nigerian education from the devastating effect of persistent poor mathematics achievement has failed. An…

History of Mathematics in Korean Mathematics Textbooks: Implication for Using Ethnomathematics in Culturally Diverse School

ERIC Educational Resources Information Center

Ju, Mi-Kyung; Moon, Jong-Eun; Song, Ryoon-Jin

2016-01-01

From a multicultural perspective, this research investigated to what extent Korean mathematics textbooks use history of mathematics. The results show even though educational use of history presented in Korean mathematics textbooks may provide a rich outlook, it does not encourage a fundamental change in the educational practice of school…

Relationships of Mathematics Anxiety, Mathematics Self-Efficacy and Mathematics Performance of Adult Basic Education Students

ERIC Educational Resources Information Center

Watts, Beverly Kinsey

2011-01-01

Competent mathematical skills are needed in the workplace as well as in the college setting. Adults in Adult Basic Education classes and programs generally perform below high school level competency, but very few studies have been performed investigating the predictors of mathematical success for adults. The current study contributes to the…

Sociocultural Research on Mathematics Education: An International Perspective.

ERIC Educational Resources Information Center

Atweh, Bill, Ed.; Forgasz, Helen, Ed.; Nebres, Ben, Ed.

This book, based on research on sociocultural aspects of mathematics education, presents contemporary and international perspectives on social justice and equity issues that impact mathematics education. In particular, it highlights the importance of three interacting and powerful factors--gender, social, and cultural dimensions. The book is…

Grand Challenges and Opportunities in Mathematics Education Research

ERIC Educational Resources Information Center

Stephan, Michelle L.; Chval, Kathryn B.; Wanko, Jeffrey J.; Civil, Marta; Fish, Michael C.; Herbel-Eisenmann, Beth; Konold, Clifford; Wilkerson, Trena L.

2015-01-01

Mathematics education researchers seek answers to important questions that will ultimately result in the enhancement of mathematics teaching, learning, curriculum, and assessment, working toward ensuring that all students attain mathematics proficiency and increasing the numbers of students from all racial, ethnic, gender, and socioeconomic groups…

Discrete mathematics for spatial data classification and understanding

NASA Astrophysics Data System (ADS)

Mussio, Luigi; Nocera, Rossella; Poli, Daniela

1998-12-01

Data processing, in the field of information technology, requires new tools, involving discrete mathematics, like data compression, signal enhancement, data classification and understanding, hypertexts and multimedia (considering educational aspects too), because the mass of data implies automatic data management and doesn't permit any a priori knowledge. The methodologies and procedures used in this class of problems concern different kinds of segmentation techniques and relational strategies, like clustering, parsing, vectorization, formalization, fitting and matching. On the other hand, the complexity of this approach imposes to perform optimal sampling and outlier detection just at the beginning, in order to define the set of data to be processed: rough data supply very poor information. For these reasons, no hypotheses about the distribution behavior of the data can be generally done and a judgment should be acquired by distribution-free inference only.

Mathematical modeling in realistic mathematics education

NASA Astrophysics Data System (ADS)

Riyanto, B.; Zulkardi; Putri, R. I. I.; Darmawijoyo

2017-12-01

The purpose of this paper is to produce Mathematical modelling in Realistics Mathematics Education of Junior High School. This study used development research consisting of 3 stages, namely analysis, design and evaluation. The success criteria of this study were obtained in the form of local instruction theory for school mathematical modelling learning which was valid and practical for students. The data were analyzed using descriptive analysis method as follows: (1) walk through, analysis based on the expert comments in the expert review to get Hypothetical Learning Trajectory for valid mathematical modelling learning; (2) analyzing the results of the review in one to one and small group to gain practicality. Based on the expert validation and students’ opinion and answers, the obtained mathematical modeling problem in Realistics Mathematics Education was valid and practical.

Democratizing education? Examining access and usage patterns in massive open online courses.

PubMed

Hansen, John D; Reich, Justin

2015-12-04

Massive open online courses (MOOCs) are often characterized as remedies to educational disparities related to social class. Using data from 68 MOOCs offered by Harvard and MIT between 2012 and 2014, we found that course participants from the United States tended to live in more-affluent and better-educated neighborhoods than the average U.S. resident. Among those who did register for courses, students with greater socioeconomic resources were more likely to earn a certificate. Furthermore, these differences in MOOC access and completion were larger for adolescents and young adults, the traditional ages where people find on-ramps into science, technology, engineering, and mathematics (STEM) coursework and careers. Our findings raise concerns that MOOCs and similar approaches to online learning can exacerbate rather than reduce disparities in educational outcomes related to socioeconomic status. Copyright © 2015, American Association for the Advancement of Science.

Melding Environmental Education and Creative Learning in Elementary and Middle-school Settings

NASA Astrophysics Data System (ADS)

Jain, S.; Baker, T.; Crofton-Macdonald, J.; Scott, M.

2017-12-01

Teaching environmental topics, such as sustainability and ecosystem management, to students through the lens of computational thinking provides unique educational opportunities. Environmental topics are an excellent source for multidisciplinary learning, as questions concerning human well-being, environmental policy, science, and mathematics can naturally be incorporated into educational discussions and activities. The use of computational modeling allows students to critically reason about and explore environmental concepts by envisioning complexity, and asking and investigating a series of "what if" questions. Students can furthermore reflect on their own relationship with their local ecology. For the past five years, we have tested and developed activities for middle school students. Through in-class activities, workshop, and summer clubs, we have explored these ideas. We plan to present examples from our work and a tentative framework for a new approach to environmental education, one reinforced by computational thinking and creative learning.

Mathematics and academic diversity in Japan.

PubMed

Woodward, John; Ono, Yumiko

2004-01-01

Japanese education has been the subject of considerable research and educational commentary in the United States over the last 20 years. Since the early 1990s, there has been increased interest in Japanese methods for teaching mathematics, and the Third International Mathematics and Science Study has accelerated American interest in Japanese methods. Observational studies, teacher and student surveys, and analyses of classroom videotapes have provided a rich picture of how the Japanese teach the whole class. However, little has been written about how academically low-achieving math students fare in Japanese schools. This article briefly summarizes Japanese methods for teaching mathematics and describes how the educational system addresses academic diversity. It concludes with a description of a method for teaching mathematics that some Japanese mathematics educators feel has promise for students with learning disabilities.

The Nature of Science and Science Education: A Bibliography

NASA Astrophysics Data System (ADS)

Bell, Randy; Abd-El-Khalick, Fouad; Lederman, Norman G.; Mccomas, William F.; Matthews, Michael R.

Research on the nature of science and science education enjoys a long history, with its origins in Ernst Mach's work in the late nineteenth century and John Dewey's at the beginning of the twentieth century. As early as 1909 the Central Association for Science and Mathematics Teachers published an article - A Consideration of the Principles that Should Determine the Courses in Biology in Secondary Schools - in School Science and Mathematics that reflected foundational concerns about science and how school curricula should be informed by them. Since then a large body of literature has developed related to the teaching and learning about nature of science - see, for example, the Lederman (1992)and Meichtry (1993) reviews cited below. As well there has been intense philosophical, historical and philosophical debate about the nature of science itself, culminating in the much-publicised Science Wars of recent time. Thereferences listed here primarily focus on the empirical research related to the nature of science as an educational goal; along with a few influential philosophical works by such authors as Kuhn, Popper, Laudan, Lakatos, and others. While not exhaustive, the list should prove useful to educators, and scholars in other fields, interested in the nature of science and how its understanding can be realised as a goal of science instruction. The authors welcome correspondence regarding omissions from the list, and on-going additions that can be made to it.

An Analysis of the New 9-Year Basic Education Mathematics Curriculum in Nigeria

ERIC Educational Resources Information Center

Awofala, Adeneye O. A.

2012-01-01

The intention of this paper is to describe and reflect on the changes in the new 9-year basic education mathematics curriculum in Nigeria. The paper is divided into four major themes: history of curriculum development in mathematics education at the basic education level in Nigeria, the motivations for the revision of the primary and junior…

The Effectiveness of Educational Technology Applications for Enhancing Mathematics Achievement in K-12 Classrooms: A Meta-Analysis. Educator's Summary

ERIC Educational Resources Information Center

Center for Research and Reform in Education, 2012

2012-01-01

This review summarizes research on the effects of technology use on mathematics achievement in K-12 classrooms. The main research questions included: (1) Do education technology applications improve mathematics achievement in K-12 classrooms as compared to traditional teaching methods without education technology?; and (2) What study and research…

STEM in England: meanings and motivations in the policy arena

NASA Astrophysics Data System (ADS)

Wong, Vicky; Dillon, Justin; King, Heather

2016-10-01

STEM, an acronym for Science, Technology, Engineering and Mathematics, is widely used in science education. There is confusion, however, as to its provenance and meaning which is potentially problematic. This study examines the purpose of STEM practice in education in England and asks if there are differences in perceptions of STEM between science and mathematics educator stakeholders. The study's contribution to the literature is its unusual focus on those who were responsible for making and enacting national STEM policy. A two-phase qualitative approach was followed comprising an analysis of government documentation together with semi-structured interviews with key contributors to the science and mathematics education discourse. Findings suggest that there is a disconnect between the interpretations of the science and mathematics educators with a danger-advantage dichotomy to participation in STEM being perceived by the mathematics educators. Early aims of the STEM agenda, including increasing diversity, gave way to a focus on numbers of post-16 physics and mathematics students. We conclude that if the term STEM is to continue to be used then there is a need for greater clarity about what it represents in educational terms and a wider debate about its compatibility with the aims of science education for all.

Researching Research: Mathematics Education in the Political

ERIC Educational Resources Information Center

Pais, Alexandre; Valero, Paola

2012-01-01

We discuss contemporary theories in mathematics education in order to do research on research. Our strategy consists of analysing discursively and ideologically recent key publications addressing the role of theory in mathematics education research. We examine how the field fabricates its object of research by deploying Foucault's notion of…

Technology, Active Learning, and Retention in General Education Mathematics

ERIC Educational Resources Information Center

Levi, Inessa; Chahine, Iman; Garrett, Lauretta; Wang, Haifeng

2016-01-01

Difficulties in general education mathematics courses may be attributed to many factors, primarily low proficiency in symbol manipulation, a perception that mathematics is an area which eludes mastery, a lack of engagement and effective practice. Educational technology can be a powerful aid in overcoming these factors. This work describes the…

Preservice Teachers' Perceptions of Mathematics Education in Urban Schools

ERIC Educational Resources Information Center

Walker, Erica N.

2007-01-01

This article reports findings from a study of preservice mathematics teacher education students and their beliefs about and experiences with students in an urban high school. The preservice teacher education students participated as mentors to a group of peer tutors in a mathematics tutoring program. Data collected from questionnaires and…

Reinventing the Undergraduate Curriculum: Strategies To Enhance Student Learning in Mathematics and Science.

ERIC Educational Resources Information Center

Nelson, Barbara J., Comp.; Wallner, Barbara K., Comp.; Powers, Myra L. Ed.; Hartley, Nancy K., Ed.

This publication is a compilation of examples of practical, easily implemented activities to help mathematics, science, and education faculty duplicate efforts by the Rocky Mountain Teacher Education Collaborative (RMTEC) to reform and revise curriculum for preservice educators. Activities are organized by content areas: mathematics; geology,…

Research in Mathematics Education.

ERIC Educational Resources Information Center

Shumway, Richard J., Ed.

This volume represents an effort to develop a definitive reference work on research in mathematics education. The reference is divided into two parts. Part 1, on the research process, focuses on problems of research methods and their relevance to research in mathematics education. Part 1 also introduces the beginner to some of the issues and…

Mathematics Capital in the Educational Field: Bourdieu and Beyond

ERIC Educational Resources Information Center

Williams, Julian; Choudry, Sophina

2016-01-01

Mathematics education needs a better appreciation of the dominant power structures in the educational field: Bourdieu's theory of capital provides a good starting point. We argue from Bourdieu's perspective that school mathematics provides capital that is finely tuned to generationally reproduce the social structures that serve to keep the…

Inhibiting Intuitive Thinking in Mathematics Education

ERIC Educational Resources Information Center

Thomas, Michael O. J.

2015-01-01

The papers in this issue describe recent collaborative research into the role of inhibition of intuitive thinking in mathematics education. This commentary reflects on this research from a mathematics education perspective and draws attention to some of the challenges that arise in collaboration between research fields with different cultures,…

Current Challenges in Integrating Educational Technology into Elementary and Middle School Mathematics Education

ERIC Educational Resources Information Center

Okita, Sandra Y.; Jamalian, Azadeh

2011-01-01

Developing curriculum and instruction for mathematics education and designing technologically enhanced learning environments are often pursued separately, but may need to be addressed together to effectively link the strengths of technology to performance in mathematics and conceptual understanding. This paper addresses current challenges with…

Academic Self-Efficacy Beliefs of Undergraduate Mathematics Education Students

ERIC Educational Resources Information Center

Turgut, Melih

2013-01-01

The present paper investigated academic self-efficacy beliefs of undergraduate mathematics education students with respect to gender, academic performance and grade level. The participants were a total of 244 undergraduate students (195 females and 49 males) enrolled to department of mathematics education (57 freshmen, 106 sophomores and 81…

A Survey of Doctoral Programs in Mathematics Education.

ERIC Educational Resources Information Center

Sonnabend, Thomas

This nationwide survey of mathematics education professors presents and discusses rankings of mathematics education doctoral programs, tabulations of the number of doctoral dissertations produced in various programs, and the correlations between these two sets of data. Georgia, Ohio State, and Wisconsin were each mentioned by over 90% of the…

Research Commentary: The Promise of Qualitative Metasynthesis for Mathematics Education

ERIC Educational Resources Information Center

Thunder, Kateri; Berry, Robert Q., III.

2016-01-01

Mathematics education has benefited from qualitative methodological approaches over the past 40 years across diverse topics. Although the number, type, and quality of qualitative research studies in mathematics education has changed, little is known about how a collective body of qualitative research findings contributes to our understanding of a…

Compendium for Research in Mathematics Education

ERIC Educational Resources Information Center

Cai, Jinfa, Ed.

2017-01-01

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

Special Educators and Mathematics Phobia: An Initial Qualitative Investigation

ERIC Educational Resources Information Center

Humphrey, Michael; Hourcade, Jack J.

2010-01-01

Special educators are uniquely challenged to be content experts in all curricular areas, including mathematics, because students in their caseloads may require academic instruction in any area. However, special educators with math phobia may be limited in their ability to provide effective instruction to their students with mathematical deficits…

Proceedings of the 2014 Annual Meeting of the Canadian Mathematics Education Study Group = Actes De La Rencontre Annuelle 2014 Du Groupe Canadien D'étude en Didactique Des Mathématiques (38th, Edmonton, Alberta, Canada, May 30-June 3, 2014)

ERIC Educational Resources Information Center

Oesterle, Susan, Ed.; Allan, Darien, Ed.

2015-01-01

This submission contains the Proceedings of the 2014 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the University of Alberta in Edmonton, Alberta. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the…

Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group = Actes De La Rencontre Annuelle 2011 Du Groupe Canadien D'étude en Didactique Des Mathématiques (35th, St. John's, Newfoundland, Canada, June 10-14, 2011)

ERIC Educational Resources Information Center

Liljedahl, Peter, Ed.; Oesterle, Susan, Ed.; Allan, Darien, Ed.

2012-01-01

This submission contains the Proceedings of the 2011 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at Memorial University of Newfoundland in St. John's, Newfoundland. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning.…

Leadership in Undergraduate Mathematics Education: An Example

ERIC Educational Resources Information Center

Cunningham, Joel

2013-01-01

Lynn Arthur Steen, Professor Emeritus of Mathematics at St. Olaf College and former President of the Mathematical Association of America, is recognized widely for the extraordinarily valuable leadership he has given in undergraduate mathematics education, at his college, nationally, and internationally. This article outlines some of his remarkable…

Virtual Environments for Mathematics and Geometry Education

ERIC Educational Resources Information Center

Kaufmann, Hannes

2009-01-01

Since ancient times mathematicians and geometricians have used visualisations to describe, discuss, study and teach mathematics. In mathematics education, visualisations are still used whenever possible to support teaching, to inspire students and feed their need to actually see abstract mathematical facts. In our times, virtual reality presents a…

Explanatory Unification by Proofs in School Mathematics

ERIC Educational Resources Information Center

Komatsu, Kotaro; Fujita, Taro; Jones, Keith; Naoki, Sue

2018-01-01

Kitcher's idea of 'explanatory unification', while originally proposed in the philosophy of science, may also be relevant to mathematics education, as a way of enhancing student thinking and achieving classroom activity that is closer to authentic mathematical practice. There is, however, no mathematics education research treating explanatory…

Critical Relationships between Teachers and Learners of School Mathematics

ERIC Educational Resources Information Center

Wright, Pete

2017-01-01

This article draws on critical theories and perspectives on mathematics education to explain the tendency of mathematics teaching worldwide to remain focused on developing procedural understanding, despite repeated calls from the mathematics education community for a more relevant and engaging curriculum. It highlights how conventional approaches…

Mathematics and General Education. Stirling Seminar Papers No. 2.

ERIC Educational Resources Information Center

Ruthven, Kenneth

1979-01-01

Despite the development of a common mathematics course, and the raising of the school leaving age, Scotland's mathematics curriculum is still designed for specialization. A general education perspective suggests that the curriculum should enable students to relate mathematics to everyday life (f=fiche number). (Author/CP)

Investigations in Mathematics Education, Vol. 10, No. 4.

ERIC Educational Resources Information Center

Osborne, Alan R., Ed.

Eighteen research reports related to mathematics education are abstracted and analyzed. Four of the reports deal with aspects of learning theory, five with topics in mathematics instruction (history of mathematics, exponents, probability, calculus, and calculators), four with teacher characteristics, and one each with testing, student interests,…

Overall Goals and Objectives for Mathematical Education.

ERIC Educational Resources Information Center

D'Ambrosio, Ubiratan

Overall goals and trends in mathematical education are discussed, with emphasis on the question "why teach mathematics?" In an introductory chapter, the philosophy of schooling in various countries is considered, with the suggestion that reasons for teaching mathematics are political as well as philosophical. The historical role of…

Mathematical Manipulative Models: In Defense of “Beanbag Biology”

PubMed Central

Gaff, Holly; Weisstein, Anton E.

2010-01-01

Mathematical manipulative models have had a long history of influence in biological research and in secondary school education, but they are frequently neglected in undergraduate biology education. By linking mathematical manipulative models in a four-step process—1) use of physical manipulatives, 2) interactive exploration of computer simulations, 3) derivation of mathematical relationships from core principles, and 4) analysis of real data sets—we demonstrate a process that we have shared in biological faculty development workshops led by staff from the BioQUEST Curriculum Consortium over the past 24 yr. We built this approach based upon a broad survey of literature in mathematical educational research that has convincingly demonstrated the utility of multiple models that involve physical, kinesthetic learning to actual data and interactive simulations. Two projects that use this approach are introduced: The Biological Excel Simulations and Tools in Exploratory, Experiential Mathematics (ESTEEM) Project (http://bioquest.org/esteem) and Numerical Undergraduate Mathematical Biology Education (NUMB3R5 COUNT; http://bioquest.org/numberscount). Examples here emphasize genetics, ecology, population biology, photosynthesis, cancer, and epidemiology. Mathematical manipulative models help learners break through prior fears to develop an appreciation for how mathematical reasoning informs problem solving, inference, and precise communication in biology and enhance the diversity of quantitative biology education. PMID:20810952

Mathematical manipulative models: in defense of "beanbag biology".

PubMed

Jungck, John R; Gaff, Holly; Weisstein, Anton E

2010-01-01

Mathematical manipulative models have had a long history of influence in biological research and in secondary school education, but they are frequently neglected in undergraduate biology education. By linking mathematical manipulative models in a four-step process-1) use of physical manipulatives, 2) interactive exploration of computer simulations, 3) derivation of mathematical relationships from core principles, and 4) analysis of real data sets-we demonstrate a process that we have shared in biological faculty development workshops led by staff from the BioQUEST Curriculum Consortium over the past 24 yr. We built this approach based upon a broad survey of literature in mathematical educational research that has convincingly demonstrated the utility of multiple models that involve physical, kinesthetic learning to actual data and interactive simulations. Two projects that use this approach are introduced: The Biological Excel Simulations and Tools in Exploratory, Experiential Mathematics (ESTEEM) Project (http://bioquest.org/esteem) and Numerical Undergraduate Mathematical Biology Education (NUMB3R5 COUNT; http://bioquest.org/numberscount). Examples here emphasize genetics, ecology, population biology, photosynthesis, cancer, and epidemiology. Mathematical manipulative models help learners break through prior fears to develop an appreciation for how mathematical reasoning informs problem solving, inference, and precise communication in biology and enhance the diversity of quantitative biology education.

Mathematics Teachers as Moral Educators: The Implications of Conceiving of Mathematics as a Technology

ERIC Educational Resources Information Center

Warnick, Bryan R.; Stemhagen, Kurt

2007-01-01

Mathematics educators often fail to see that their subject has social and ethical dimensions. If anything, mathematics is seen as a neutral tool that has a social dimension only because it can be used to solve social problems. This study critically examines this idea by arguing that, although school mathematics is indeed a technology, technology…

The Effects of Mathematical Modeling on Creative Production Ability and Self-Directed Learning Attitude

ERIC Educational Resources Information Center

Kim, Sun Hee; Kim, Soojin

2010-01-01

What should we do to educate the mathematically gifted and how should we do it? In this research, to satisfy diverse mathematical and cognitive demands of the gifted who have excellent learning ability and task tenacity in mathematics, we sought to apply mathematical modeling. One of the objectives of the gifted education in Korea is cultivating…

Proceedings of the Annual Conference of the International Group for the Psychology of Mathematics Education (12th, Veszprem, Hungary, July 20-25, 1988), Volume 1.

ERIC Educational Resources Information Center

Borbas, Andrea, Ed.

This proceedings from the annual conference of the International Group for the Psychology of Mathematics Education includes the following papers: "Street Mathematics and School Mathematics" (Carraher); "A Look at the Affective Side of Mathematics Learning in Hungarian Secondary Schools" (Klein & Habermann); "Beyond Constructivism: Learning…

Mathematics Student Teachers' Epistemological Beliefs about the Nature of Mathematics and the Goals of Mathematics Teaching and Learning in the Beginning of Their Studies

ERIC Educational Resources Information Center

Viholainen, Antti; Asikainen, Mervi; Hirvonen, Pekka E.

2014-01-01

This article examines Finnish mathematics student teachers' epistemological beliefs concerning the nature of mathematics and the goals of mathematics teaching and learning solely in the beginning of their studies at university. A total of 18 students participated in a study consisting of a short questionnaire and interviews. The data was analyzed…

Reaching the Mountaintop: Addressing the Common Core Standards in Mathematics for Students with Mathematics Difficulties

ERIC Educational Resources Information Center

Powell, Sarah R.; Fuchs, Lynn S.; Fuchs, Doug

2013-01-01

The Common Core State Standards provide teachers with a framework of necessary mathematics skills across grades K-12, which vary considerably from previous mathematics standards. In this article, we discuss concerns about the implications of the Common Core for students with mathematics difficulties (MD), given that students with MD, by…

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

ERIC Educational Resources Information Center

Horton, Robert M.; Leonard, William H.

2005-01-01

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

Prospective Primary Teachers' Beliefs about Mathematics

ERIC Educational Resources Information Center

Maasepp, Brooke; Bobis, Janette

2015-01-01

Concerns about the negative mathematical beliefs of prospective primary teachers have arisen from evidence that such beliefs detrimentally impact future teaching practices. The aim of this study was to explore factors contributing to the effectiveness of a mathematics content-focused intervention designed to nurture positive mathematical beliefs.…

Bridging different perspectives of the physiological and mathematical disciplines.

PubMed

Batzel, Jerry Joseph; Hinghofer-Szalkay, Helmut; Kappel, Franz; Schneditz, Daniel; Kenner, Thomas; Goswami, Nandu

2012-12-01

The goal of this report is to discuss educational approaches for bridging the different perspectives of the physiological and mathematical disciplines. These approaches can enhance the learning experience for physiology, medical, and mathematics students and simultaneously act to stimulate mathematical/physiological/clinical interdisciplinary research. While physiology education incorporates mathematics, via equations and formulas, it does not typically provide a foundation for interdisciplinary research linking mathematics and physiology. Here, we provide insights and ideas derived from interdisciplinary seminars involving mathematicians and physiologists that have been conducted over the last decade. The approaches described here can be used as templates for giving physiology and medical students insights into how sophisticated tools from mathematics can be applied and how the disciplines of mathematics and physiology can be integrated in research, thereby fostering a foundation for interdisciplinary collaboration. These templates are equally applicable to linking mathematical methods with other life and health sciences in the educational process.

The Use of GBL to Teach Mathematics in Higher Education

ERIC Educational Resources Information Center

Naik, Nitin

2017-01-01

Innovation in learning and teaching is an everyday requirement in contemporary higher education (HE), especially in challenging subjects such as mathematics. Teaching mathematics to students with limited experience of formal mathematical instruction is a good example of a demanding pedagogical undertaking where innovatory practice can help HE…

Starting a Conversation about Open Data in Mathematics Education Research

ERIC Educational Resources Information Center

Logan, Tracy

2015-01-01

This position paper discusses the role of open access research data within mathematics education, a relatively new initiative across the wider research community. International and national policy documents are explored and examples from both the scientific and social science paradigms of mathematical sciences and mathematics education…

Mathematics in Early Years Education. 3rd Edition

ERIC Educational Resources Information Center

Montague-Smith, Ann; Price, Alison

2012-01-01

This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

Leadership in Mathematics Education: Roles and Responsibilities

ERIC Educational Resources Information Center

Posamentier, Alfred S.

2013-01-01

This article partitions leadership in mathematics education into two categories: leadership in defining and maintaining important principles in teaching mathematics, and leadership in informing the public about the importance of mathematics today and in the future. Examples of both types of leadership are given in the article. Teacher leaders in…

Mathematics Education in Europe: Common Challenges and National Policies

ERIC Educational Resources Information Center

Parveva, Teodora; Noorani, Sogol; Ranguelov, Stanislav; Motiejunaite, Akvile; Kerpanova, Viera

2011-01-01

Competence in mathematics is integral to a wide range of disciplines, professions and areas of life. This Eurydice report reveals crucial elements of the policies and practices that shape mathematics instruction in European education systems, focusing on reforms of mathematics curricula, teaching and assessment methods, as well as teacher…

High School Mathematics at Work: Essays and Examples for the Education of All Students.

ERIC Educational Resources Information Center

National Academy of Sciences - National Research Council, Washington, DC. Mathematical Sciences Education Board.

Traditionally, vocational mathematics and precollege mathematics have been separate in schools. This book illuminates the interplay between technical and academic mathematics. This collection of essays by mathematicians, educators, and other experts is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to…

Novice Middle-School Mathematics Teachers Learning to Promote Student Sense Making through Productive Discussion

ERIC Educational Resources Information Center

Yanisko, Emily Joy

2013-01-01

While mathematics education researchers have long characterized student performance marked by mathematical explanations, arguments, and justifications as evidence of mathematical reasoning and understanding (e.g. Schoenfeld, 1992), current education policy has begun to move in a similar direction, emphasizing sense making and mathematical…

Principles to Actions: Mathematics Programs as the Core for Student Learning

ERIC Educational Resources Information Center

Brahier, Daniel; Leinwand, Steve; Huniker, DeAnn

2014-01-01

The National Council of Teachers of Mathematics (NCTM) launched the "standards-based" education movement in North America in 1989 with the release of "Curriculum and Evaluation Standards for School Mathematics," an unprecedented action to promote systemic improvement in mathematics education. Now, twenty-five years later, the…

Models of Re-Engaging Adult Learners with Mathematics

ERIC Educational Resources Information Center

O'Sullivan, Ciaran; Robinson, Paul; Keogh, John; O'Neill, John

2017-01-01

So-called "Mathematics-anxiety" can be a key inhibitor for some adult learners considering higher education. The Institute of Technology Tallaght (ITT) in Dublin hosts the "Centre of Expertise for Adult Numeracy/Mathematics Education" mathematics research group which is a hub of EPISTEM, formerly known as the "National…

Mathematics Reform Curricula and Special Education: Identifying Intersections and Implications for Practice

ERIC Educational Resources Information Center

Sayeski, Kristin L.; Paulsen, Kim J.

2010-01-01

In many general education classrooms today, teachers are using "reform" mathematics curricula. These curricula emphasize the application of mathematics in real-life contexts and include such practices as collaborative, group problem solving and student-generated algorithms. Students with learning disabilities in the area of mathematics can…

Supporting Mathematics Teachers' Development through Higher Education

ERIC Educational Resources Information Center

Prendergast, Mark; Roche, Joseph

2017-01-01

Mathematics education, both nationally and internationally, is facing a number of challenges with significant on-going shifts in the structure, content, and core principles of mathematics curricula in countries around the world. For example, in Ireland there was an ambitious reform of the post-primary mathematics curricula in 2010 with further…

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…

Engaging with Issues of Emotionality in Mathematics Teacher Education for Social Justice

ERIC Educational Resources Information Center

Boylan, Mark

2009-01-01

This article focuses on the relationship between social justice, emotionality and mathematics teaching in the context of the education of prospective teachers of mathematics. A relational approach to social justice calls for giving attention to enacting socially just relationships in mathematics classrooms. Emotionality and social justice in…

Inssues for Consideration by Mathematics Educators: Selected Papers.

ERIC Educational Resources Information Center

Denmark, Tom, Ed.

This set of papers, selected from presentations at the Fourth and Fifth Annual Conferences of the Research Council for Diagnostic and Prescriptive Mathematics, are of primary interest to mathematics educators. In the first paper, Romberg describes a model for diagnosing mathematical learning difficulties which extends the diagnostic process beyond…

Establishing Validity of the Thai Mathematics Teaching Efficacy Beliefs Instrument

ERIC Educational Resources Information Center

Matney, Gabriel; Jackson, Jack L., II.; Panarach, Yupadee

2016-01-01

This article presents our work in translating the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI) from English to Thai and our resulting investigation of validity with Thai preservice teachers. The translation process occurred over several meetings between two U.S. mathematics educators and one Thai mathematics educator. To check for…

Exploring Relationships between Presage Variables of Florida Preservice Agricultural Education Teachers Related to Teaching Contextualized Mathematics

ERIC Educational Resources Information Center

Stripling, Christopher T.; Roberts, T. Grady

2013-01-01

The purpose of this exploratory study was to investigate the relationships between mathematics ability, personal mathematics efficacy, mathematics teaching efficacy, personal teaching efficacy, and background characteristics of preservice agricultural education teachers. Data were collected for two years at the University of Florida. Fourteen…

Music-Themed Mathematics Education as a Strategy for Improving Elementary Preservice Teachers' Mathematics Pedagogy and Teaching Self-Efficacy

ERIC Educational Resources Information Center

An, Song A.; Tillman, Daniel A.; Paez, Carlos R.

2015-01-01

This study investigated the effects upon elementary preservice teachers' mathematics teaching self-efficacy and interdisciplinary lesson design strategies, which resulted from an educational intervention that emphasized integrated music-mathematics instruction. The participating elementary preservice teachers (n = 152) were recruited for this…

Evidence of the Need to Prepare Prospective Teachers to Engage in Mathematics Consultations

ERIC Educational Resources Information Center

van Ingen, Sarah; Eskelson, Samuel L.; Allsopp, David

2016-01-01

The mathematics consultation represents a powerful opportunity for mathematics teachers to leverage the knowledge base of special education professionals to advance equity for students with special education needs. Yet, most teacher preparation programs do not specifically prepare prospective teachers to engage in mathematics-specific…

Theorizing Collaborative Mathematics Teacher Learning in Communities of Practice

ERIC Educational Resources Information Center

Bannister, Nicole A.

2018-01-01

Persistent disconnects within and among education research, practice, and policy are limiting the reach of professional mathematics teacher communities, one of the most promising levers for humanizing mathematics teaching and learning in schools. An overarching goal of this commentary is to convince the field of mathematics education to broaden…

Measuring Mathematics Teacher Educators' Knowledge of Technology Integrated Teaching: Instrument Development

ERIC Educational Resources Information Center

Getenet, Seyum Tekeher; Beswick, Kim

2013-01-01

This study describes the construction of a questionnaire instrument to measure mathematics teacher educators' knowledge for technology integrated mathematics teaching. The study was founded on a reconceptualisation of the generic Technological Pedagogical Content Knowledge framework in the specific context of mathematics teaching. Steps in the…

The Mathematics of High School Physics

NASA Astrophysics Data System (ADS)

Kanderakis, Nikos

2016-10-01

In the seventeenth and eighteenth centuries, mathematicians and physical philosophers managed to study, via mathematics, various physical systems of the sublunar world through idealized and simplified models of these systems, constructed with the help of geometry. By analyzing these models, they were able to formulate new concepts, laws and theories of physics and then through models again, to apply these concepts and theories to new physical phenomena and check the results by means of experiment. Students' difficulties with the mathematics of high school physics are well known. Science education research attributes them to inadequately deep understanding of mathematics and mainly to inadequate understanding of the meaning of symbolic mathematical expressions. There seem to be, however, more causes of these difficulties. One of them, not independent from the previous ones, is the complex meaning of the algebraic concepts used in school physics (e.g. variables, parameters, functions), as well as the complexities added by physics itself (e.g. that equations' symbols represent magnitudes with empirical meaning and units instead of pure numbers). Another source of difficulties is that the theories and laws of physics are often applied, via mathematics, to simplified, and idealized physical models of the world and not to the world itself. This concerns not only the applications of basic theories but also all authentic end-of-the-chapter problems. Hence, students have to understand and participate in a complex interplay between physics concepts and theories, physical and mathematical models, and the real world, often without being aware that they are working with models and not directly with the real world.

The association between higher education and approximate number system acuity

PubMed Central

Lindskog, Marcus; Winman, Anders; Juslin, Peter

2014-01-01

Humans are equipped with an approximate number system (ANS) supporting non-symbolic numerosity representation. Studies indicate a relationship between ANS-precision (acuity) and math achievement. Whether the ANS is a prerequisite for learning mathematics or if mathematics education enhances the ANS remains an open question. We investigated the association between higher education and ANS acuity with university students majoring in subjects with varying amounts of mathematics (mathematics, business, and humanities), measured either early (First year) or late (Third year) in their studies. The results suggested a non-significant trend where students taking more mathematics had better ANS acuity and a significant improvement in ANS acuity as a function of study length that was mainly confined to the business students. The results provide partial support for the hypothesis that education in mathematics can enhance the ANS acuity. PMID:24904478

The association between higher education and approximate number system acuity.

PubMed

Lindskog, Marcus; Winman, Anders; Juslin, Peter

2014-01-01

Humans are equipped with an approximate number system (ANS) supporting non-symbolic numerosity representation. Studies indicate a relationship between ANS-precision (acuity) and math achievement. Whether the ANS is a prerequisite for learning mathematics or if mathematics education enhances the ANS remains an open question. We investigated the association between higher education and ANS acuity with university students majoring in subjects with varying amounts of mathematics (mathematics, business, and humanities), measured either early (First year) or late (Third year) in their studies. The results suggested a non-significant trend where students taking more mathematics had better ANS acuity and a significant improvement in ANS acuity as a function of study length that was mainly confined to the business students. The results provide partial support for the hypothesis that education in mathematics can enhance the ANS acuity.

Factors influencing undergraduates' self-evaluation of numerical competence

NASA Astrophysics Data System (ADS)

Tariq, Vicki N.; Durrani, Naureen

2012-04-01

This empirical study explores factors influencing undergraduates' self-evaluation of their numerical competence, using data from an online survey completed by 566 undergraduates from a diversity of academic disciplines, across all four faculties at a post-1992 UK university. Analysis of the data, which included correlation and multiple regression analyses, revealed that undergraduates exhibiting greater confidence in their mathematical and numeracy skills, as evidenced by their higher self-evaluation scores and their higher scores on the confidence sub-scale contributing to the measurement of attitude, possess more cohesive, rather than fragmented, conceptions of mathematics, and display more positive attitudes towards mathematics/numeracy. They also exhibit lower levels of mathematics anxiety. Students exhibiting greater confidence also tended to be those who were relatively young (i.e. 18-29 years), whose degree programmes provided them with opportunities to practise and further develop their numeracy skills, and who possessed higher pre-university mathematics qualifications. The multiple regression analysis revealed two positive predictors (overall attitude towards mathematics/numeracy and possession of a higher pre-university mathematics qualification) and five negative predictors (mathematics anxiety, lack of opportunity to practise/develop numeracy skills, being a more mature student, being enrolled in Health and Social Care compared with Science and Technology, and possessing no formal mathematics/numeracy qualification compared with a General Certificate of Secondary Education or equivalent qualification) accounted for approximately 64% of the variation in students' perceptions of their numerical competence. Although the results initially suggested that male students were significantly more confident than females, one compounding variable was almost certainly the students' highest pre-university mathematics or numeracy qualification, since a higher percentage of males (24%) compared to females (15%) possessed an Advanced Subsidiary or A2 qualification (or equivalent) in mathematics. Of particular concern is the fact that undergraduates based in Health and Social Care expressed significantly less confidence in their numeracy skills than students from any of the other three faculties.

Context Orientated Teaching in Praxis

ERIC Educational Resources Information Center

Nikos, Klaoudatos; Stavros, Papastavridis

2004-01-01

In this paper, we describe the skeleton of two teaching units, based on a Model for teaching mathematics, Context Orientated Teaching (COT). The first teaching unit concerns the proof of a mathematical proposition, while the second one concerns the solution of an open problem. Both are taught in the 10th grade, under the specific conditions of the…

Emotion, Confidence, Perception and Expectation Case of Mathematics

ERIC Educational Resources Information Center

Dogan, Hamide

2012-01-01

Students' concerns about mathematics can significantly affect their ability to learn the subject. In particular, their anxieties and attitudes can greatly affect how they perceive their own mathematical competence, and in return, this may make them reluctant to pursue mathematical studies. Many researchers believe in the role of active learning…

The Effectiveness of Technology Integration in a Metropolitan Elementary Mathematics Program: Mad Dog Math

ERIC Educational Resources Information Center

Cohen, Miriam

2012-01-01

The outcome of American students' performances during international comparisons consistently scoring inadequately in mathematics exposes the crisis of deficient mathematics achievement thus causing deep concerns. Learners who acquire a strong theoretical foundation in mathematics at the primary level thrived later in more advanced level…

Developing Mathematical Reasoning in Grades K-12. 1999 Yearbook.

ERIC Educational Resources Information Center

Stiff, Lee V., Ed.; Curcio, Frances R., Ed.

This yearbook sharpens the views of mathematical reasoning and its development at all grade levels. Various perspectives about the nature of reasoning and addresses the many issues and concerns involving mathematical reasoning such as how learners reason in mathematics, how communication promotes reasoning, how teachers gather evidence of student…

Heeding the Call for Change: Suggestions for Curricular Action.

ERIC Educational Resources Information Center

Steen, Lynn Arthur, Ed.

The "call for change" issued by the Board of Governors of the Mathematical Association of America (MAA) in "A Call For Change: Recommendations for the Mathematical Preparation of Teachers of Mathematics, 1991" may appear at first glance to concern only the mathematical preparation of teachers. However, two ingredients combine…

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)

Teacher Practices: How They Promote or Hinder Student Engagement in Mathematics

ERIC Educational Resources Information Center

Skilling, Karen

2014-01-01

With persistent concerns about student engagement, interest and participation in mathematics, this research investigated the range of practices 31 Year 7 mathematics teachers reported using and how they perceived these practices influenced student engagement in mathematics. In-depth interviews revealed similarities in teachers' perceptions of…

Knowledge Concerning the Mathematical Horizon: A Close View

ERIC Educational Resources Information Center

Guberman, Raisa; Gorev, Dvora

2015-01-01

The main objective of this study is to identify components of teachers' mathematical knowledge for teaching, associated with the knowledge of mathematical horizon (KMH) in order to describe this type of knowledge from the viewpoint of elementary school mathematics teachers. The research population of this study consisted of 118 elementary school…

Estimation in the Primary School: Developing a Key Mathematical Skill for Life

ERIC Educational Resources Information Center

Mildenhall, Paula

2016-01-01

Very recently, in the "Australian Association of Mathematics Teachers (AAMT)/Australian Industry Group quantitative report" (2014), concerns were raised that school mathematics is lacking real world application. This report highlighted the gaps between school mathematics and the requirements of the workplace. After interviewing industry…

What We Do: A Multiple Case Study from Mathematics Coaches' Perspectives

ERIC Educational Resources Information Center

Kane, Barbara Ann

2013-01-01

Teachers face new challenges when they teach a more rigorous mathematics curriculum than one to which they are accustomed. The rationale for this particular study originated from watching teachers struggle with understanding mathematical content and pedagogical practices. Mathematics coaches can address teachers' concerns through sustained,…

An Investigation of the Engagement of Elementary Students in the NCTM Process Standards after One Year of Standards-Based Instruction

ERIC Educational Resources Information Center

Fillingim, Jennifer Gale

2010-01-01

Contemporary mathematics education reform has placed increased emphasis on K-12 mathematics curriculum. Reform-based curricula, often referred to as "Standards-based" due to philosophical alignment with the NCTM Process Standards, have generated controversy among families, educators, and researchers. The mathematics education research…

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…

An Intentionality Interpretation of Meaning in Mathematics Education

ERIC Educational Resources Information Center

Skovsmose, Ole

2016-01-01

The referential theory of meaning as well as the use-oriented theory of meaning have huge impacts on the discussion of meaning in mathematics education. Here, I present a third theory in terms of an intentionality interpretation of meaning, which provides an alternative departure for the discussion of meaning in mathematics education. The…

Taking the Sociopolitical Turn in Postsecondary Mathematics Education Research

ERIC Educational Resources Information Center

Adiredja, Aditya P.; Andrews-Larson, Christine

2017-01-01

In this paper, we argue for a need to attend to issues of equity in postsecondary mathematics education. In the United States, the broader mathematics education field has begun a shift toward attending to sociopolitical aspects of research, which focus on the interrelatedness of knowledge, identity, power, and social discourses. We argue that…

Blended Learning, E-Learning and Mobile Learning in Mathematics Education

ERIC Educational Resources Information Center

Borba, Marcelo C.; Askar, Petek; Engelbrecht, Johann; Gadanidis, George; Llinares, Salvador; Aguilar, Mario Sánchez

2016-01-01

In this literature survey we focus on identifying recent advances in research on digital technology in the field of mathematics education. To conduct the survey we have used internet search engines with keywords related to mathematics education and digital technology and have reviewed some of the main international journals, including the ones in…

Investigating First Year Elementary Mathematics Teacher Education Students' Knowledge of Prism

ERIC Educational Resources Information Center

Bozkurt, Ali; Koc, Yusuf

2012-01-01

The purpose of this study was to investigate first year elementary mathematics teacher education students' knowledge of prism. For this goal, the participants were asked to define the geometric concept of prism. The participants were 158 first year elementary mathematics teacher education students from a public university in Southern Turkey. The…

Amidst Multiple Theories of Learning in Mathematics Education

ERIC Educational Resources Information Center

Simon, Martin A.

2009-01-01

Currently, there are more theories of learning in use in mathematics education research than ever before (Lerman & Tsatsaroni, 2004). Although this is a positive sign for the field, it also has brought with it a set of challenges. In this article, I identify some of these challenges and consider how mathematics education researchers might think…

Conceptualizing Mathematics as Discourse in Different Educational Settings

ERIC Educational Resources Information Center

Güçler, Beste; Wang, Sasha; Kim, Dong-Joong

2015-01-01

In this work, we focus on a relatively new theory in mathematics education research, which views thinking as communication and characterizes mathematics as a form of discourse. We discuss how this framework can be utilized in different educational settings by giving examples from our own research to highlight the insights it provides in the…

Handbook of Research Design in Mathematics and Science Education.

ERIC Educational Resources Information Center

Kelly, Anthony E., Ed.; Lesh, Richard A., Ed.

This book attempts to clarify the nature of principles that govern the effective use of merging new research designs in mathematics and science education. A primary goal is to describe several of the most important types of research design that have been pioneered recently by mathematics and science educators, have distinctive characteristics when…

Family Involvement in Children's Mathematics Education Experiences: Voices of Immigrant Chinese American Students and Their Parents

ERIC Educational Resources Information Center

Liang, Senfeng

2013-01-01

This study examines ways in which Chinese immigrant families are involved in their children's mathematics education, particularly focusing on how different types of families utilize different forms of capital to support their children's mathematics education. The theoretical framework defines four types of Chinese immigrant families--working…

Mathematical Inqu[ee]ry: Beyond "Add-Queers-and-Stir" Elementary Mathematics Education

ERIC Educational Resources Information Center

Rands, Kathleen

2009-01-01

While elementary educators have developed queer pedagogies and perspectives in many subjects from reading to music, science to English as a second language, queer perspectives on elementary mathematics education are remarkably absent. This article differentiates between two common uses of the term "queer" and delineates two sets of approaches…

Teacher Education Students: Their Experience of Mathematics Anxiety, Self-Efficacy, and Teacher Professional Development

ERIC Educational Resources Information Center

Olson, Amy M.

2014-01-01

This dissertation adds to the teacher education literature by exploring the experiences education students have of mathematics anxiety and self-efficacy for teaching and learning mathematics. Further, the utility of a specific in-service teacher professional development project, focused on improving rational number instruction, in pre-service…

Researching as an Enactivist Mathematics Education Researcher

ERIC Educational Resources Information Center

Brown, Laurinda

2015-01-01

This paper focusses on how researching is done through reflections about, or at a meta-level to, the practice over time of an enactivist mathematics education researcher. How are the key concepts of enactivist theory ("ZDM Mathematics Education," doi: 10.1007/s11858-014-0634-7, 2015) applied? This paper begins by giving an…

Dialogue on Early Childhood Science, Mathematics, and Technology Education.

ERIC Educational Resources Information Center

American Association for the Advancement of Science, Washington, DC.

Educators, scholars, and researchers in the United States convened at the Forum on Early Childhood Science, Mathematics, and Technology Education to discuss how, when, and even if science, mathematics, and technology should be taught to pre-kindergarten children. The product of that forum, this book summarizes some of the latest thinking about…

Promising Practices to Meet Global Challenges in Science and Mathematics Education

ERIC Educational Resources Information Center

Berlin, Donna F., Ed.; White, Arthur L., Ed.

2010-01-01

The chapters in this book reflect the work of science and mathematics educators who have worked for many years at the international level. As members of the International Consortium for Research in Science and Mathematics Education, their work provides readers with issues, models, practices, and research results that have applicability and…

Science and Mathematics Education: International Innovations, Research, and Practices

ERIC Educational Resources Information Center

Berlin, Donna F., Ed.; White, Arthur L., Ed.

2011-01-01

The chapters in this book reflect the work of science and mathematics educators who have worked for many years at the international level. As members of the International Consortium for Research in Science and Mathematics Education, their work provides readers with issues, models, practices, and research results that have applicability and…

A Study Exploring Exceptional Education Pre-Service Teachers' Mathematics Anxiety

ERIC Educational Resources Information Center

Gresham, Gina

2010-01-01

Fifty-two exceptional education pre-service teachers getting a K-6 endorsement were involved in this study that investigated the changes in levels of mathematics anxiety before and after a mathematics methods course for education majors. The changes were measured with respect to the use of manipulatives and other activities to make mathematics…

Assessing Journal Quality in Mathematics Education

ERIC Educational Resources Information Center

Nivens, Ryan Andrew; Otten, Samuel

2017-01-01

In this Research Commentary, we describe 3 journal metrics--the Web of Science's Impact Factor, Scopus's SCImago Journal Rank, and Google Scholar Metrics' h5-index--and compile the rankings (if they exist) for 69 mathematics education journals. We then discuss 2 paths that the mathematics education community should consider with regard to these…

A Comparison of the Pedagogical Practices of Mathematics Education for Young Children in England and South Korea

ERIC Educational Resources Information Center

Siraj-Blatchford, Iram; Nah, Kwi-Ok

2014-01-01

The pedagogical practices of mathematics education for young children in English and Korean pre-schools were compared through analyses of interviews with practitioners, observations of classroom activities and an examination of documents related to the planning and implementation of mathematics education. Practitioners in both countries used…

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…

The Investigation of Elementary Mathematics Teacher Candidates' Problem Solving Skills According to Various Variables

ERIC Educational Resources Information Center

Kaya, Deniz; Izgiol, Dilek; Kesan, Cenk

2014-01-01

The aim was to determine elementary mathematics teacher candidates' problem solving skills and analyze problem solving skills according to various variables. The data were obtained from total 306 different grade teacher candidates receiving education in Department of Elementary Mathematics Education, Buca Faculty of Education, Dokuz Eylul…

Learning at the Boundaries: Collaboration between Mathematicians and Mathematics Educators within and across Institutions

ERIC Educational Resources Information Center

Bennison, Anne; Goos, Merrilyn

2016-01-01

Collaboration between mathematicians and mathematics educators may provide a means of improving the quality of pre-service teacher education for prospective teachers of mathematics. Some preliminary findings of a project that investigates this type of interdisciplinary collaboration, both within and across institutions, are reported on in this…

Marketing an Alternate Model for Science and Mathematics Initial Teacher Education

ERIC Educational Resources Information Center

Seen, Andrew; Fraser, Sharon P.; Beswick, Kim; Penson, Margaret; Whannell, Robert

2016-01-01

An innovative initial teacher education undergraduate degree has been offered for the first time in 2016 at an Australian University. The degree provides for qualification as a secondary science and mathematics teacher through the completion of a four-year-integrated science, mathematics and education program of study where the synergies available…

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

ERIC Educational Resources Information Center

Colakoglu, Nurdan

2013-01-01

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

Becoming a Primary Teacher: Issues from Mathematics Education.

ERIC Educational Resources Information Center

Gimenez, J., Ed.; And Others

This book is a collection of works by mathematics educators from Spain with an emphasis on preservice primary teacher education. This book aims to promote reflection upon and discussion of research issues as well as put out a call to action. Articles include: (1) "Contexts and Learning to Teach Mathematics. The Case of Prospective Elementary…

Sociological Tools in the Study of Knowledge and Practice in Mathematics Teacher Education

ERIC Educational Resources Information Center

Parker, Diane; Adler, Jill

2014-01-01

In this paper, we put Basil Bernstein's theory of pedagogic discourse to work together with additional theoretical resources to interrogate knowledge and practice in mathematics teacher education. We illustrate this methodology through analysis of an instance of mathematics teacher education pedagogic practice. While the methodology itself is…

Research in Mathematics Education in Australasia: 1988-1991.

ERIC Educational Resources Information Center

Atweh, Bill, Ed.; Watson, Jane, Ed.

The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and…

Mathematics education in the United States: past to present.

PubMed

Woodward, John

2004-01-01

This article presents a historical review of mathematics education since the late 1950s in the United States. Three themes are used to organize the literature reviewed in the article: (a) broad sociopolitical forces, particularly highly publicized educational policy statements; (b) trends in mathematics research; and (c) theories of learning and instruction. At times, these themes coincide, as was the case in the 1990s. In other cases, such as the recent push for educational accountability, these themes conflict. Nonetheless, the themes go a long way to explain the serpentine nature of reform in the United States over the last 45 years. This article also attempts to account for developments in special education as well as general education research, something that does not appear in most historical presentations of mathematics education.

The Federal Investment in Science, Mathematics, Engineering, and Technology Education: Where Now? What Next? Report of the Expert Panel for the Review of Federal Education Programs in Science, Mathematics, Engineering, and Technology.

ERIC Educational Resources Information Center

Federal Coordinating Council for Science, Engineering and Technology, Washington, DC.

Despite efforts to improve the quality and equity of science, mathematics, engineering, and technology (SMET) education at all educational levels, the nation remains at risk of losing its competitive edge. This report presents the findings of a special panel convened for two purposes: (1) to review federal programs in SMET education at all levels;…

Re-Envisaging the Teaching of Mathematics: One Student Teacher's Experience Learning to Teach Primary Mathematics in a Manner Congruent with the New Zealand Curriculum

ERIC Educational Resources Information Center

Bailey, Judy

2013-01-01

Teacher education can provide opportunities for contributing towards a re-envisaging of the teaching and learning of mathematics in the primary classroom. This study documents the experiences of one student teacher who, during her mathematics education courses, embraced a perception of mathematics as a social, creative and experiential discipline.…

Promoting Writing in Mathematics: Prospective Teachers' Experiences and Perspectives on the Process of Writing When Doing Mathematics as Problem Solving

ERIC Educational Resources Information Center

Kuzle, Ana

2013-01-01

Despite a great deal of research on the benefits of writing in mathematics, writing plays a minimal role, if any, in secondary and tertiary mathematics education. In order for teachers to use writing in their classrooms, they themselves have to experience writing mathematics within the teacher education programme. The present paper reports on a…

Creating opportunities to learn in mathematics education: a sociocultural perspective

NASA Astrophysics Data System (ADS)

Goos, Merrilyn

2014-09-01

The notion of `opportunities to learn in mathematics education' is open to interpretation from multiple theoretical perspectives, where the focus may be on cognitive, social or affective dimensions of learning, curriculum and assessment design, issues of equity and access, or the broad policy and political contexts of learning and teaching. In this paper, I conceptualise opportunities to learn from a sociocultural perspective. Beginning with my own research on the learning of students and teachers of mathematics, I sketch out two theoretical frameworks for understanding this learning. One framework extends Valsiner's zone theory of child development, and the other draws on Wenger's ideas about communities of practice. My aim is then to suggest how these two frameworks might help us understand the learning of others who have an interest in mathematics education, such as mathematics teacher educator-researchers and mathematicians. In doing so, I attempt to move towards a synthesis of ideas to inform mathematics education research and development.