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Corriveau, Claudia; Bednarz, Nadine – Educational Studies in Mathematics, 2017

Secondary-tertiary transition issues are explored from the perspective of ways of doing mathematics that are constituted in the implicit aspects of teachers' action. Theories of culture (Hall, 1959) and ethnomethodology (Garfinkel, 1967) provide us with a basis for describing and explicating the ways of doing mathematics specific to each teaching…

Descriptors: Symbols (Mathematics), Mathematics Instruction, Secondary School Mathematics, Mathematical Concepts

Bosch, Marianna; Gascón, Josep; Trigueros, María – Educational Studies in Mathematics, 2017

The notion of "praxeology" from the anthropological theory of the didactic (ATD) can be used as a framework to approach what has recently been called the "networking of theories" in mathematics education. Theories are interpreted as "research praxeologies," and different modalities of "dialogues" between…

Descriptors: Mathematics Education, Networks, Teaching Methods, Anthropology

Roth, Wolff-Michael – Educational Studies in Mathematics, 2017

Constructivist learning theories have become the dominant ideology in educational circles, in part, because there is a primacy on the agential individual with its definite identity. However, precisely because "to construct" is a "transitive" verb, it occludes the fact that in learning and development, we come to know something…

Descriptors: Constructivism (Learning), Learning Theories, Teaching Methods, Mathematics

Knapp, Andrea; Landers, Racheal; Liang, Senfeng; Jefferson, Vetrece – Educational Studies in Mathematics, 2017

The researchers in this study investigated the impact of mathematics-focused parental involvement on Kindergarten to Grade 8 children and parents as well as factors prompting that impact. Qualitative analysis consisting of parent, child, and teacher interviews and 3-year quantitative testing showed significant improvements in students' mathematics…

Descriptors: Mathematics Instruction, Parent Participation, Teaching Methods, Elementary Secondary Education

Zandieh, Michelle; Ellis, Jessica; Rasmussen, Chris – Educational Studies in Mathematics, 2017

As part of a larger study of student understanding of concepts in linear algebra, we interviewed 10 university linear algebra students as to their conceptions of functions from high school algebra and linear transformation from their study of linear algebra. An overarching goal of this study was to examine how linear algebra students see linear…

Descriptors: Mathematics Instruction, Algebra, Mathematical Concepts, Problem Solving

Rellensmann, Johanna; Schukajlow, Stanislaw; Leopold, Claudia – Educational Studies in Mathematics, 2017

Drawing strategies are widely used as a powerful tool for promoting students' learning and problem solving. In this article, we report the results of an inferential mediation analysis that was applied to investigate the roles that strategic knowledge about drawing and the accuracy of different types of drawings play in mathematical modelling…

Descriptors: Mathematical Models, Freehand Drawing, Mathematics Instruction, Mathematics Achievement

Mao, Yi; White, Tyreke; Sadler, Philip M.; Sonnert, Gerhard – Educational Studies in Mathematics, 2017

This study investigates how the use of calculators during high school mathematics courses is associated with student performance in introductory college calculus courses in the USA. Data were drawn from a nationally representative sample of 7087 students enrolled in college calculus at 134 colleges and universities. They included information about…

Descriptors: Calculators, Technology Uses in Education, Mathematics Achievement, Mathematics Education

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

Sarouphim, Ketty M.; Chartouny, Madona – Educational Studies in Mathematics, 2017

The purpose of this study was to investigate gender differences in students' mathematics achievement and in their attitudes toward mathematics. Another purpose was to examine mathematics teachers' beliefs and their perceptions of their male and female students' ability. The sample consisted of 692 students (353 girls, 339 boys) between the ages of…

Descriptors: Foreign Countries, Mathematics, Mathematics Education, Mathematics Instruction

Ferrara, Francesca; Ferrari, Giulia – Educational Studies in Mathematics, 2017

In this paper, we draw on the contemporary perspective of inclusive materialism offered by de Freitas and Sinclair to contribute to current discussions on the role of the body in the learning of mathematics. Using the notions of "distributed agency" and "assemblage," we illustrate the way in which three students engage with a…

Descriptors: Mathematics Education, Learning Processes, Human Body, Task Analysis

Miyakawa, Takeshi – Educational Studies in Mathematics, 2017

This paper reports the results of an international comparative study on the nature of proof to be taught in geometry. Proofs in French and Japanese lower secondary schools were explored by analyzing curricular documents: mathematics textbooks and national curricula. Analyses on the three aspects of proof--statement, proof, and theory--suggested by…

Descriptors: Comparative Analysis, Mathematical Logic, Geometry, Teaching Methods

Hitt, Fernando; Saboya, Mireille; Zavala, Carlos Cortés – Educational Studies in Mathematics, 2017

Part of the research community that has followed the Early Algebra paradigm is currently delimiting the differences between arithmetic thinking and algebraic thinking. This trend could prevent new research approaches to the problem of learning algebra, hiding the importance of considering an arithmetico-algebraic thinking, a new approach which…

Descriptors: Arithmetic, Algebra, Educational Technology, Thinking Skills

Villarroel, José Domingo; Sanz Ortega, Olga – Educational Studies in Mathematics, 2017

The studies regarding how the comprehension of geometric shapes evolves in childhood are largely based on the assessment of children's responses during the course of tasks linked to the recognition, classification or explanation of prototypes and models. Little attention has been granted to the issue as to what extent the geometric shape turns out…

Descriptors: Geometric Concepts, Geometry, Freehand Drawing, Childrens Art

Glade, Matthias; Prediger, Susanne – Educational Studies in Mathematics, 2017

According to the design principle of progressive schematization, learning trajectories towards procedural rules can be organized as independent discoveries when the learning arrangement invites the students first to develop models for mathematical concepts and model-based informal strategies; then to explore the strategies and to discover pattern…

Descriptors: Grade 6, Video Technology, Fractions, Mathematics Instruction

Corriveau, Claudia – Educational Studies in Mathematics, 2017

This article addresses the issue of transition from secondary to post-secondary education through collaborative research with teachers from both levels. It takes into account implicit elements in this transition. Research on the transition in mathematics education tends to focus more on the tertiary level, studying difficulties encountered by…

Descriptors: Transitional Programs, Teacher Collaboration, Educational Research, Secondary Education