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Lee, Mi Yeon – Educational Studies in Mathematics, 2017

This study investigated 111 pre-service teachers' (PSTs') flexibility with referent units in solving a fraction division problem using a length model. Participants' written solutions to a measurement fraction division problem were analyzed in terms of strategies and types of errors, using an inductive content analysis approach. Findings suggest…

Descriptors: Preservice Teachers, Problem Solving, Fractions, Mathematics Instruction

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

Radford, Luis; Roth, Wolff-Michael – Educational Studies in Mathematics, 2017

In a recent article published in this journal, Williams ("Educational Studies in Mathematics, 92," 59-72, 2016) offers a critique of neo-Vygotskian perspectives exemplified in recent work on the "funds of knowledge" and on "cultural-historical activity theoretic" perspectives. The critique has great value in that it…

Descriptors: Mathematics, Mathematics Education, Alienation, Cultural Context

Bunck, M. J. A.; Terlien, E.; van Groenestijn, M.; Toll, S. W. M.; Van Luit, J. E. H. – Educational Studies in Mathematics, 2017

Children who experience difficulties with learning mathematics should be taught by teachers who focus on the child's best way of learning. Analyses of the mathematical difficulties are necessary for fine-tuning mathematics education to the needs of these children. For this reason, an instrument for Observing and Analyzing children's Mathematical…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Test Reliability, Young Children

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

Martínez-Sierra, Gustavo; García-González, María del Socorro – Educational Studies in Mathematics, 2016

Little is known about students' emotions in the field of Mathematics Education that go beyond students' emotions in problem solving. To start filling this gap this qualitative research has the aim to identify emotional experiences of undergraduate mathematics students in Linear Algebra courses. In order to obtain data, retrospective focus group…

Descriptors: Mathematics Education, Emotional Response, Algebra, College Mathematics

Font Moll, Vicenç; Trigueros, María; Badillo, Edelmira; Rubio, Norma – Educational Studies in Mathematics, 2016

This paper presents a networking of two theories, the APOS Theory and the ontosemiotic approach (OSA), to compare and contrast how they conceptualize the notion of a mathematical object. As context of reflection, we designed an APOS genetic decomposition for the derivative and analyzed it from the point of view of OSA. Results of this study show…

Descriptors: Mathematics, Constructivism (Learning), Semiotics, Theories

Kollosche, David – Educational Studies in Mathematics, 2016

Socio-political studies in mathematics education often touch complex fields of interaction between education, mathematics and the political. In this paper I present a Foucault-based framework for socio-political studies in mathematics education which may guide research in that area. In order to show the potential of such a framework, I discuss the…

Descriptors: Mathematics Education, Marxian Analysis, Social Influences, Ideology

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

Csíkos, Csaba – Educational Studies in Mathematics, 2016

The focus of this study is the relationship between students' performance in mental calculation and the strategies they use when solving three-digit mental addition problems. The sample comprises 78 4th grade students (40 boys and 38 girls). Their mean age was 10 years and 4 months. The main novelties of the current research include (1)…

Descriptors: Elementary School Mathematics, Elementary School Students, Addition, Mental Computation

Frejd, Peter; Bergsten, Christer – Educational Studies in Mathematics, 2016

Educational research literature on mathematical modelling is extensive. However, not much attention has been paid to empirical investigations of its scholarly knowledge from the perspective of didactic transposition processes. This paper reports from an interview study of mathematical modelling activities involving nine professional model…

Descriptors: Mathematical Models, Mathematics Activities, Interviews, Professional Personnel

de Freitas, Elizabeth – Educational Studies in Mathematics, 2016

This paper contributes to research on the material dimensions of teaching and learning mathematics, arguing that perception is not sensory integration or synthesis of multi-modal information, but rather a speculative investment in specific material encounters. This approach entails sociopolitical consequences for how we work with dis/ability in…

Descriptors: Mathematics Instruction, Visual Perception, Human Body, Visualization

Lockwood, Elise; Gibson, Bryan R. – Educational Studies in Mathematics, 2016

Although counting problems are easy to state and provide rich, accessible problem-solving situations, there is much evidence that students struggle with solving counting problems correctly. With combinatorics (and the study of counting problems) becoming increasingly prevalent in K-12 and undergraduate curricula, there is a need for researchers to…

Descriptors: Undergraduate Students, Mathematics Instruction, Problem Solving, Mathematics Skills

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

Scheiner, Thorsten – Educational Studies in Mathematics, 2016

The initial assumption of this article is that there is an overemphasis on abstraction-from-actions theoretical approaches in research on knowing and learning mathematics. This article uses a critical reflection on research on students' ways of constructing mathematical concepts to distinguish between abstraction-from-actions theoretical…

Descriptors: Mathematical Concepts, Learning Processes, Mathematics Skills, Abstract Reasoning