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Louie, Nicole L. – Educational Studies in Mathematics, 2018

This paper responds to the burgeoning literature on mathematics teacher noticing, arguing that its cognitive orientation misses the cultural and ideological dimensions of what and how teachers notice. The author highlights Goodwin's concept of "professional vision" as a way of bringing analyses of culture and power into studies of…

Descriptors: Mathematics Teachers, Mathematics Instruction, Teaching Methods, Perception

Venkat, Hamsa; Askew, Mike – Educational Studies in Mathematics, 2018

In this paper, we present and discuss a framework for considering the quality of primary teachers' mediating of primary mathematics within instruction. The "mediating primary mathematics" framework is located in a sociocultural view of instruction as mediational, with mathematical goals focused on structure and generality. It focuses on…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts, Models

Kontorovich, Igor' – Educational Studies in Mathematics, 2018

This article is concerned with cognitive aspects of students' struggles in situations in which familiar concepts are reconsidered in a new mathematical domain. Examples of such cross-curricular concepts are divisibility in the domain of integers and in the domain of polynomials, multiplication in the domain of numbers and in the domain of vectors,…

Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematical Formulas, Algebra

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

Simon, Martin A. – Educational Studies in Mathematics, 2017

Mathematical understanding continues to be one of the major goals of mathematics education. However, what is meant by "mathematical understanding" is underspecified. How can we operationalize the idea of mathematical understanding in research? In this article, I propose particular specifications of the terms "mathematical…

Descriptors: Mathematics Education, Mathematical Concepts, Concept Formation, Educational Research

Dawkins, Paul Christian; Weber, Keith – Educational Studies in Mathematics, 2017

In this theoretical paper, we present a framework for conceptualizing proof in terms of mathematical values, as well as the norms that uphold those values. In particular, proofs adhere to the values of establishing a priori truth, employing decontextualized reasoning, increasing mathematical understanding, and maintaining consistent standards for…

Descriptors: Values, Norms, Mathematical Logic, Validity

Bass, Hyman – Educational Studies in Mathematics, 2017

Mathematicians commonly distinguish two modes of work in the discipline: "Problem solving," and "theory building." Mathematics education offers many opportunities to learn problem solving. This paper explores the possibility, and value, of designing instructional activities that provide supported opportunities for students to…

Descriptors: Mathematics Education, Problem Solving, Instructional Design, Mathematics

Bozkurt, Gulay; Ruthven, Kenneth – Educational Studies in Mathematics, 2017

This study examines the classroom practice and craft knowledge underpinning one teacher's integration of the use of GeoGebra software into mathematics teaching. The chosen teacher worked in an English secondary school and was professionally well regarded as an accomplished user of digital technology in mathematics teaching. Designed in accordance…

Descriptors: Teacher Competencies, Knowledge Base for Teaching, Computer Software, Educational Technology

Nardi, Elena; Knuth, Eric – Educational Studies in Mathematics, 2017

This paper is a commentary on the classroom interventions on the teaching and learning of proof reported in the seven empirical papers in this special issue. The seven papers show potential to enhance student learning in an area of mathematics that is not only notoriously difficult for students to learn and for teachers to teach, but also…

Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Integrated Curriculum

Clivaz, Stéphane – Educational Studies in Mathematics, 2017

This paper provides an analysis of a teaching episode of the multidigit algorithm for multiplication, with a focus on the influence of the teacher's mathematical knowledge on their teaching. The theoretical framework uses Mathematical Knowledge for Teaching, mathematical pertinence of the teacher and structuration of the milieu in a descending and…

Descriptors: Mathematics Instruction, Multiplication, Teaching Methods, Knowledge Level

Yopp, David A.; Ely, Rob – Educational Studies in Mathematics, 2016

We offer criteria that an observer can use to determine whether an argument that uses an example to argue for a general claim appeals to that example generically. We review existing literature on generic example and note the strengths of each contribution, as well as inconsistencies among uses of the term. We offer several examples from the…

Descriptors: Mathematics Instruction, Persuasive Discourse, Literature Reviews, Teaching Methods

Solomon, Yvette; Radovic, Darinka; Black, Laura – Educational Studies in Mathematics, 2016

A common theme in accounts of choosing mathematics is that of persistence in the face of troubles or difficulties which are often associated with the structuring effects of gender, class, culture and ethnicity. Centring on an analysis of one woman's account of becoming a mathematician, we build on our understanding of multiple and developing…

Descriptors: Mathematics, Professional Personnel, Professional Identity, Females

Weinberg, Aaron; Wiesner, Emilie; Fukawa-Connelly, Tim – Educational Studies in Mathematics, 2016

Although lecture is the traditional method of university mathematics instruction, there has been little empirical research that describes the general structure of lectures. In this paper, we adapt ideas from narrative analysis and apply them to an upper-level mathematics lecture. We develop a framework that enables us to conceptualize the lecture…

Descriptors: Mathematics Instruction, Lecture Method, Narration, Teaching Methods

Kidron, Ivy – Educational Studies in Mathematics, 2016

A theoretical reflection on epistemology is presented. The important role of epistemological analysis in research in mathematics education is discussed. I analyze the epistemological evolution as a consequence of the changes in the mathematical culture and demonstrate how the epistemological analysis is tightly linked to the cultural dimension.…

Descriptors: Epistemology, Mathematics Education, Educational Research, Cultural Influences

Zazkis, Dov; Weber, Keith; Mejía-Ramos, Juan Pablo – Educational Studies in Mathematics, 2016

We examine a commonly suggested proof construction strategy from the mathematics education literature--that students first produce a graphical argument and then work to construct a verbal-symbolic proof based on that graphical argument. The work of students who produce such graphical arguments when solving proof construction tasks was analyzed to…

Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Persuasive Discourse