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da Ponte, João Pedro; Quaresma, Marisa – Educational Studies in Mathematics, 2016

This paper seeks to identify actions that can be regarded as building elements of teachers' classroom practice in mathematical discussion and how these actions may be combined to provide fruitful learning opportunities for students. It stands on a framework that focuses on two key elements of teaching practice: the tasks that teachers propose to…

Descriptors: Teaching Methods, Mathematics Education, Qualitative Research, Video Technology

Voutsina, Chronoula – Educational Studies in Mathematics, 2016

Empirical research has documented how children's early counting develops into an increasingly abstract process, and initial counting procedures are reified as children develop and use more sophisticated counting. In this development, the learning of different oral counting sequences that allow children to count in steps bigger than one is seen as…

Descriptors: Computation, Young Children, Mathematics Instruction, Mathematics Education

Gucler, Beste – Educational Studies in Mathematics, 2013

Existing research on limits documents many difficulties students encounter when learning about the concept. There is also some research on teaching of limits but it is not yet as extensive as the research on student learning about limits. This study explores the discourse on limits in a beginning-level undergraduate calculus classroom by focusing…

Descriptors: Calculus, Mathematics, Mathematics Instruction, Mathematics Education

Demonty, Isabelle; Vlassis, Joëlle; Fagnant, Annick – Educational Studies in Mathematics, 2018

Research focusing on algebra from primary to early secondary school level has made several major advances over the past decades. Students' difficulties have been identified and supportive teaching and learning environments have been set up (Cai & Knuth, 2011; Kieran, 2007; Radford, 2008, "Mathematics Education Research Journal," 26,…

Descriptors: Mathematics Instruction, Algebra, Elementary Secondary Education, Knowledge Base for Teaching

Mithalal, Joris; Balacheff, Nicolas – Educational Studies in Mathematics, 2019

In this article, we examine how it is possible, in the teaching and learning of geometry, to bridge the gap between problems involving drawings and figures, which is essential to the learning of mathematical proof. More precisely, the way students' drawing perception has to evolve, from Iconic Visualization to Non-Iconic Visualization (Duval,…

Descriptors: Geometry, Geometric Concepts, Mathematics Instruction, Mathematical Logic

Jeannotte, Doris; Kieran, Carolyn – Educational Studies in Mathematics, 2017

The development of students' mathematical reasoning (MR) is a goal of several curricula and an essential element of the culture of the mathematics education research community. But what mathematical reasoning consists of is not always clear; it is generally assumed that everyone has a sense of what it is. Wanting to clarify the elements of MR,…

Descriptors: Mathematics Instruction, Thinking Skills, Mathematics Education, Mathematical Models

Groth, Randall E.; Bergner, Jennifer A. – Educational Studies in Mathematics, 2013

This report describes a model for mapping cognitive structures related to content knowledge for teaching. The model consists of knowledge elements pertinent to teaching a content domain, the nature of the connections among them, and a means for representing the elements and connections visually. The model is illustrated through empirical data…

Descriptors: Cognitive Mapping, Cognitive Structures, Knowledge Base for Teaching, Preservice Teachers

Roth, Wolff-Michael – Educational Studies in Mathematics, 2016

Recent theoretical advances on learning (mathematics) emphasize the fact that what results from engagement with curriculum materials is not entirely in the control of the students in the way classical theories of knowing and learning suggest. These new theories distinguish themselves by either invoking distributed agency, some of which is…

Descriptors: Mathematics Education, Theories, Mathematics Curriculum, Females

Erath, Kirstin; Prediger, Susanne; Quasthoff, Uta; Heller, Vivien – Educational Studies in Mathematics, 2018

Language, which plays a special role for the learning of mathematics, is investigated in this article for the specific discourse practice of explaining during whole-class discussions: On the one hand, explaining is a medium for learning since school cannot be thought of without communication. On the other hand, students at the beginning of…

Descriptors: Mathematics Instruction, Discussion (Teaching Technique), Large Group Instruction, Secondary School Students

Ticknor, Cindy S. – Educational Studies in Mathematics, 2012

Advisory committees of mathematics consider abstract algebra as an essential component of the mathematical preparation of secondary teachers, yet preservice teachers find it challenging to connect the topics addressed in this advanced course with the high school algebra they must someday teach. This study analyzed the mathematical content…

Descriptors: Advanced Courses, Advisory Committees, Mathematics Education, Communities of Practice

Zagorianakos, Andonis; Shvarts, Anna – Educational Studies in Mathematics, 2015

The research is a study of the Husserlian approach to intuition, informed by Merleau-Ponty's theory of perception, in the case of a prospective teacher of mathematics. It explores the two major stages-categories of intuition, the essential relations between them, and their vital role in the emergence of empirical and abstract mathematical…

Descriptors: Intuition, Preservice Teachers, Mathematics Teachers, Case Studies

Wilkie, Karina J.; Sullivan, Peter – Educational Studies in Mathematics, 2018

Middle school students have been pervasively described in the research literature as exhibiting disaffection, disengagement, and a lack of interest in mathematics classrooms. This study investigated this notion empirically using students' own voice on their wishes for mathematics learning to see if they characterise themselves in this way in their…

Descriptors: Middle School Students, Mathematics Instruction, Student Attitudes, Student Motivation

Dreher, Anika; Kuntze, Sebastian – Educational Studies in Mathematics, 2015

Teachers notice through the lens of their professional knowledge and views. This study hence focuses not solely on teachers' noticing, but also on their knowledge and views, which allows insight into how noticing is informed and shaped by professional knowledge. As a discipline-specific perspective for noticing we chose dealing with multiple…

Descriptors: Preservice Teachers, Teachers, Teaching Experience, Teacher Characteristics

Walshaw, Margaret; Brown, Tony – Educational Studies in Mathematics, 2012

In underscoring the affective elements of mathematics experience, we work with contemporary readings of the work of Spinoza on the politics of affect, to understand what is included in the cognitive repertoire of the Subject. We draw on those resources to tell a pedagogical tale about the relation between cognition and affect in settings of…

Descriptors: Motivation, Mathematics Instruction, Mathematics Education, Teaching Methods

de Vittori, Thomas – Educational Studies in Mathematics, 2018

Part of the international reflection on the use of history in mathematics teaching consists in a quest of frameworks and models suitable for empirical studies. Following this demand, this paper explores the way Balacheff's cK? model, a model taken from the didactics of mathematics, can be used in the analysis of learning at student level. In the…

Descriptors: History, Mathematics Instruction, Models, Geometry