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Direct linkGilboa, Nava; Dreyfus, Tommy; Kidron, Ivy – Educational Studies in Mathematics, 2023
The notion of definition is a central building block of mathematics. In addition to specific definitions, it is desirable that students learn about meta-mathematical aspects of definitions such as their role of classification, and about characteristics of definitions such as arbitrariness. We investigated how such meta-mathematical aspects emerge…
Descriptors: Mathematics Education, Definitions, Classification, Mathematical Concepts
Polotskaia, Elena; Savard, Annie – Educational Studies in Mathematics, 2021
The multiplicative reasoning that students should develop in elementary school is a key area of research in contemporary mathematics education. Researchers employ various views including multiplication as arithmetic operation, multiplicative structures, and multiplicative relationships. They also propose various classifications of multiplicative…
Descriptors: Multiplication, Elementary School Mathematics, Elementary School Students, Mathematics Instruction
Fujita, Taro; Doney, Jonathan; Wegerif, Rupert – Educational Studies in Mathematics, 2019
In this paper, we take a semiotic/dialogic approach to investigate how a group of UK 12-13-year-old students work with hierarchical defining and classifying quadrilaterals. Through qualitatively analysing students' decision-making processes, we found that the students' decision-making processes are interpreted as transforming their…
Descriptors: Foreign Countries, Participative Decision Making, Geometric Concepts, Secondary School Students
Simon, Martin A.; Kara, Melike; Placa, Nicora; Sandir, Hakan – Educational Studies in Mathematics, 2016
Reversibility of concepts, a key aspect of mathematical development, is often problematic for learners. In this theoretical paper, we present a typology we have developed for categorizing the different reverse concepts that can be related to a particular initial concept and explicate the relationship among these different reverse concepts. We…
Descriptors: Mathematical Concepts, Mathematics Instruction, Classification, Concept Formation
Berger, Margot – Educational Studies in Mathematics, 2019
A broad categorisation of different reading styles for mathematics text is generated in this research. The styles derive from those found in literature around academic reading skills. These styles are inductively refined using video transcripts of five specially chosen students studying out loud from a prescribed mathematics textbook. The context…
Descriptors: Reading Processes, Mathematics Instruction, Reading Skills, Video Technology
Alcock, Lara; Simpson, Adrian – Educational Studies in Mathematics, 2017
This paper describes a study in which we investigated relationships between defining mathematical concepts--increasing and decreasing infinite sequences--explaining their meanings and classifying consistently with formal definitions. We explored the effect of defining, explaining or studying a definition on subsequent classification, and the…
Descriptors: Mathematical Concepts, Concept Teaching, Definitions, Classification
