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Pais, Alexandre; Valero, Paola – Educational Studies in Mathematics, 2012
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…
Descriptors: Mathematics Education, Educational Research, Theories, Discourse Analysis
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Calder, Nigel – Educational Studies in Mathematics, 2012
How might understanding emerge when learners engage mathematical phenomena through digital technologies? This paper considers the ways children's mathematical thinking was influenced by their interpretations through various pedagogical discourses and how understanding emerged through those various filters. Current research into using digital…
Descriptors: Mathematics Education, Hermeneutics, Mathematics Instruction, Educational Technology
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Sandefur, J.; Mason, J.; Stylianides, G. J.; Watson, A. – Educational Studies in Mathematics, 2013
We report on our analysis of data from a dataset of 26 videotapes of university students working in groups of 2 and 3 on different proving problems. Our aim is to understand the role of example generation in the proving process, focusing on deliberate changes in representation and symbol manipulation. We suggest and illustrate four aspects of…
Descriptors: College Mathematics, College Students, Cooperative Learning, Problem Solving
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Brown, Laurinda; Coles, Alf – Educational Studies in Mathematics, 2012
We illustrate and exemplify how the idea of reflection is framed by the enactive concept of "deliberate analysis". In keeping with this frame, we do not attempt to define reflection but rather work on the question of "how do we do reflecting?" within such a frame. We set out our enactivist theoretical stance, in particular pointing to implications…
Descriptors: Mathematics Education, Figurative Language, Mathematics Teachers, Mathematics Instruction
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Che, Megan; Wiegert, Elaine; Threlkeld, Karen – Educational Studies in Mathematics, 2012
This study examines patterns in middle-grade boys' and girls' written problem solving strategies for a mathematical task involving proportional reasoning. The students participating in this study attend a coeducational charter middle school with single-sex classrooms. One hundred nineteen sixth-grade students' responses are analyzed by gender…
Descriptors: Females, Problem Solving, Mathematics Instruction, Males
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Gorgorio, Nuria – Educational Studies in Mathematics, 1998
Discusses solving rotation problems and shows that there is an alternative to using mental rotations or their encoding into verbal terms, namely using geometrical properties. Presents an analysis of the functionality and effectiveness of the different kinds of strategies as a function of the task's characteristics. Describes research to improve…
Descriptors: Elementary Secondary Education, Geometric Concepts, Geometry, Learning Strategies
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Tabach, Michal; Hershkowitz, Rina; Schwarz, Baruch – Educational Studies in Mathematics, 2006
Studies of knowledge constructing often focus on the analysis of a single episode, without considering enough the history of the learners, or the future learners' trajectories with regard to the concepts learned. This paper presents an example of knowledge constructing within the context of peer learning. We show how the design of the task and the…
Descriptors: Knowledge Level, Peer Relationship, Concept Formation, Cooperative Learning
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Gellert, Uwe – Educational Studies in Mathematics, 2004
This paper reflects on the use of didactic material in mathematics classes. It focuses on the mathematical activities of students and the didactical activities of teachers. Its point of departure is a critique of technical-managerial approaches to teaching, learning, and innovation. Based on this critique, fundamental tensions between the…
Descriptors: Numeracy, Mathematics Instruction, Class Activities, Educational Innovation