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Speiser, Bob; Walter, Chuck – International Group for the Psychology of Mathematics Education, 2003

In this paper, we discuss issues in planning and conducting research into mathematics learning. We emphasize two central themes: (1) the learners' mathematics (especially the issues and ideas, in given problem situations, that learners choose to think about and to present; and (2) the kinds of knowledge that learners may be building (including…

Descriptors: Mathematics Education, Epistemology, Mathematics Skills, Mathematics Instruction

Simon, Martin A. – International Group for the Psychology of Mathematics Education, 2003

I present a theoretical distinction that may prove useful in conceptualizing mathematics teacher education (and graduate education) and research on mathematics teacher education. Further, the distinction can contribute to developing frameworks on the design of mathematics curricula. The distinction between empirical activity and…

Descriptors: Graduate Study, Mathematical Concepts, Mathematics Teachers, Teacher Education

Francisco, John M.; Maher, Carolyn A. – International Group for the Psychology of Mathematics Education, 2005

This study reports on teacher-interns' observations of research sessions involving urban students participating as subjects in an informal mathematical learning afterschool program. The research comes from a project that investigates how minority students from low-income, urban community build mathematical ideas and engage in mathematical…

Descriptors: Minority Groups, Urban Schools, Teacher Interns, Mathematics Instruction

Baturo, Annette R – International Group for the Psychology of Mathematics Education, 2004

This paper provides a glimpse into the positive effect on student learning as a result of empowering a classroom teacher of 20 years (Andrea) with subject matter knowledge relevant to developing fraction understanding. Having a facility with fractions is essential for life skills in any society, whether metricated or non-metricated, and yet…

Descriptors: Mathematics, Foreign Countries, Preservice Teacher Education, Preservice Teachers

Valero, Paola – International Group for the Psychology of Mathematics Education, 2004

This paper comments on Arthur Powell's plenary paper "The Diversity Backlash and the Mathematical Agency of Students of Color". A highlight of some of the main arguments in Arthur's paper is offered, and questions are raised concerning elements of importance in setting a research agenda committed to equity in mathematics education. [For "The…

Descriptors: Equal Education, Mathematics Education, Student Diversity, Race

Sekiguchi, Yasuhiro – International Group for the Psychology of Mathematics Education, 2005

Mathematical norms are important cultural knowledge of mathematical activities. This paper reports an analysis of mathematical norms in ten consecutive lessons taught by an eighth-grade Japanese teacher. The lessons were located in the unit of simultaneous linear equations. The videotapes of the lessons, their transcripts, and the interview data…

Descriptors: Norms, Algebra, Equations (Mathematics), Mathematics Activities

Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006

This document contains the fourth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Kun and…

Descriptors: Program Effectiveness, Foreign Countries, Teacher Education, Psychology

Mitchelmore, Michael; White, Paul – International Group for the Psychology of Mathematics Education, 2004

It is claimed that, since mathematics is essentially a self-contained system, mathematical objects may best be described as "abstract-apart." On the other hand, fundamental mathematical ideas are closely related to the real world and their learning involves empirical concepts. These concepts may be called "abstract-general" because they embody…

Descriptors: Cognitive Processes, Mathematics Education, Abstract Reasoning, Mathematical Concepts

Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…

Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction

Jones, Graham A. – International Group for the Psychology of Mathematics Education, 2005

In a real sense, PISA 2003 has touched the mathematics education community by stealth rather than by storm. Although PISA brings "baggage" commonly associated with international assessments, it takes some refreshing perspectives especially in the way that it envisions and assesses mathematical literacy. In this panel discussion we focus…

Descriptors: Mathematics Achievement, Educational Research, Mathematics Education, Numeracy

Liljedahl, Peter – International Group for the Psychology of Mathematics Education, 2004

In 1943 Jacques Hadamard gave a series of lectures on mathematical invention at the Ecole Libre des Hautes Etudes in New York City. These talks were subsequently published as The Psychology of Mathematical Invention in the Mathematical Field (Hadamard, 1945). In this article I present a study that mirrors the work of Hadamard. Results both…

Descriptors: Mathematics, Creativity, Discovery Processes, Problem Solving

Radford, Luis; Bardini, Caroline; Sabena, Cristina; Diallo, Pounthioun; Simbagoye, Athanase – International Group for the Psychology of Mathematics Education, 2005

The cognitive significance of the body has become one of the major topics in current psychology. However, it is our contention that claims about the embodied nature of thinking must come to terms with the problem of the relationship between the body as a locus for the constitution of students' subjective mathematical meanings and the historical…

Descriptors: Grade 9, Mathematical Concepts, Semiotics, Cognitive Psychology

Woo, Jeong-Ho, Ed.; Lew, Hee-Chan, Ed.; Park, Kyo-Sik Park, Ed.; Seo, Dong-Yeop, Ed. – International Group for the Psychology of Mathematics Education, 2007

This second volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents research reports for author surnames beginning Alc- through Hal-. Reports include: (1) How Do Your Students Think about Proof? A DVD Resource for Mathematicians (Lara Alcock); (2) Teachers' Conceptions of…

Descriptors: Secondary School Mathematics, Preservice Teachers, Mathematics Education, Teacher Effectiveness

Powell, Arthur B. – International Group for the Psychology of Mathematics Education, 2004

This paper argues that discussions of diversity often avoid the issue of race. Further, it maintains that diversity and structural backlashes to it in the United States in social and economic life shape and are shaped by crises in mathematics education. Attention is paid to the lack of instructional diversity in mathematical problem types and to…

Descriptors: Mathematics Education, Student Diversity, Race, Teaching Methods

Ferrari, Pier Luigi – International Group for the Psychology of Mathematics Education, 2004

This paper is concerned with the role of language in mathematics learning at college level. Its main aim is to provide a perspective on mathematical language appropriate to effectively interpret students' linguistic behaviors in mathematics and to suggest new teaching ideas. Examples are given to show that the explanation of students' behaviors…

Descriptors: Mathematics Education, Language Role, Mathematics Instruction, Teaching Methods