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Tsamir, Pessia; Tirosh, Dina; Dreyfus, Tommy; Barkai, Ruthi; Tabach, Michal – Journal of Mathematical Behavior, 2009

Calls for reform in mathematics education around the world state that proofs should be part of school mathematics at all levels. Turning these calls into a reality falls on teachers' shoulders. This paper focuses on one secondary school teacher's reactions to students' suggested proofs and justifications in elementary number theory. To determine…

Descriptors: Mathematics Education, Number Concepts, Secondary School Teachers, Mathematical Logic

Harkness, Shelly Sheats; Thomas, Jonathan – Journal of Mathematical Behavior, 2008

This article describes the use of a case report, Multiplication as original sin (Corwin, R. B. (1989). "Multiplication as original sin." "Journal of Mathematical Behavior, 8", 223-225), as an assignment in a mathematics course for preservice elementary teachers. In this case study, Corwin described her experience as a 6th grader when she revealed…

Descriptors: Preservice Teacher Education, Preservice Teachers, Validity, Mathematics Instruction

Harel, Guershon; Fuller, Evan; Rabin, Jeffrey M. – Journal of Mathematical Behavior, 2008

Non-attendance to meaning by students is a prevalent phenomenon in school mathematics. Our goal is to investigate features of instruction that might account for this phenomenon. Drawing on a case study of two high school algebra teachers, we cite episodes from the classroom to illustrate particular teaching actions that de-emphasize meaning. We…

Descriptors: Symbols (Mathematics), Algebra, Mathematics Teachers, Mathematics Instruction

Case, Steven – Journal of Mathematical Behavior, 2008

In this article I recount my experiences with a series of encounters with the catwalk task and reflect on the professional growth that these opportunities afforded. First, I reflect on my own mathematical work on the catwalk task, including my efforts to fit various algebraic models to the data. Second, I reflect on my experiences working with a…

Descriptors: Mathematics Teachers, Professional Development, Reflective Teaching, Algebra

Vega, Emiliano; Hicks, Shawn – Journal of Mathematical Behavior, 2008

In this article we recount our experiences with a series of encounters with the catwalk task and reflect on the professional growth that these opportunities afforded. First, we individually reflect on our own mathematical work on the catwalk task. Second, we reflect on our experiences working with a group of community college students on the…

Descriptors: Mathematics Teachers, Professional Development, Reflective Teaching, Community Colleges

Rasmussen, Chris – Journal of Mathematical Behavior, 2008

An important concern in mathematics teacher education is how to create learning opportunities for prospective and practicing teachers that make a difference in their professional growth as educators. The first purpose of this article is to describe one way of working with prospective and practicing teachers in a graduate mathematics education…

Descriptors: Preservice Teacher Education, Mathematics Teachers, Professional Development, Education Courses

Towers, Jo; Hunter, Kim – Journal of Mathematical Behavior, 2010

In our work in teacher education and professional development, we aim to help teachers to learn to participate in, and create, classroom ecologies that support students' learning. In this article we focus on the challenges of developing a classroom ecology that provides mathematical sustenance for students. We pay particular attention to the ways…

Descriptors: Ecology, Grade 3, Classroom Environment, Teaching Methods

Iannone, Paola; Nardi, Elena – Journal of Mathematical Behavior, 2005

In this paper, we draw on a 16-month study funded by the Learning and Teaching Support Network in the UK and entitled "Mathematicians as Educational Co-Researchers." The study's aims were two-fold. Primarily we intended to explore mathematicians' reflections on issues identified in the literature as highly topical in the area of teaching…

Descriptors: Feedback (Response), Mathematics Education, Focus Groups, Researchers

Cavey, Laurie O.; Berenson, Sarah B. – Journal of Mathematical Behavior, 2005

"Lesson plan study" (LPS), adapted from the Japanese Lesson Study method of professional development, is a sequence of activities designed to engage prospective teachers in broadening and deepening their understanding of school mathematics and teaching strategies. LPS occurs over 5 weeks on the same lesson topic and includes four opportunities to…

Descriptors: Mathematics Education, Geometric Concepts, Trigonometry, Teaching Methods

Leikin, Roza; Kawass, Sally – Journal of Mathematical Behavior, 2005

During individual interviews, secondary school mathematics teachers were asked to plan teaching an unfamiliar and challenging mathematics problem. Each teacher watched a special video-clip showing a pair of pupils successfully coping with the task. Teachers' planning was analyzed at three stages: before they solved the problem, after solving it,…

Descriptors: Secondary School Mathematics, Mathematics Education, Mathematics Teachers, Teaching Experience

Ho, Kai Fai; Hedberg, John G. – Journal of Mathematical Behavior, 2005

This paper examines the classroom practices of three teachers teaching mathematics at the 5th grade level in three Singapore schools. Using a video-coding scheme, a series of lessons was coded into relevant phases comprising problem solving, teaching concepts/skills, going over assigned work, and student activities. It explores the teachers'…

Descriptors: Problem Solving, Foreign Countries, Grade 5, Mathematics Instruction

Groth, Randall E. – Journal of Mathematical Behavior, 2005

The study describes students' patterns of thinking for statistical problems set in two different contexts. Fifteen students representing a wide range of experiences with high school mathematics participated in problem-solving clinical interview sessions. At one point during the interviews, each solved a problem that involved determining the…

Descriptors: Mathematics Education, Problem Sets, Statistical Data, Data Analysis

Greer, Brian; De Bock, Dirk; Van Dooren, Wim – Journal of Mathematical Behavior, 2009

The Isis problem, which has a link with the Isis cult of ancient Egypt, asks: "Find which rectangles with sides of integral length (in some unit) have area and perimeter (numerically) equal, and prove the result." Since the solution requires minimal technical mathematics, the problem is accessible to a wide range of students. Further, it is…

Descriptors: Mathematics Education, Mathematics Teachers, Educational Resources, Mathematics

Peer reviewed

Dubinsky, Ed – Journal of Mathematical Behavior, 1986

A novel approach to teaching mathematical induction was used, based on a Piagetian theory of learning abstract mathematical concepts in which the learner uses reflective abstraction to construct new schemas out of old ones. Computer experiences are used to induce students to make the appropriate reflective abstractions. (MNS)

Descriptors: College Mathematics, Concept Formation, Higher Education, Induction

Magidson, Susan – Journal of Mathematical Behavior, 2005

Within mathematics education, classroom teachers, educational researchers, and instructional designers share the common goals of understanding and improving the teaching and learning of mathematics. Teachers work to help students learn; researchers study how people learn and teach mathematics; and designers develop instructional materials to…

Descriptors: Instructional Design, Mathematics Education, Instructional Materials, Teachers