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Swidan, Osama; Sabena, Cristina; Arzarello, Ferdinando – Educational Studies in Mathematics, 2020

This paper examines mathematical meaning-making from a phenomenological perspective and considers how a specific dynamic digital tool can prompt students to disclose the relationships between a function and its antiderivatives. Drawing on case study methodology, we focus on a pair of grade 11 students and analyze how the tool's affordances and the…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Phenomenology

Understanding and Promoting Students' Mathematical Thinking: A Review of Research Published in "ESM"

Goos, Merrilyn; Kaya, Sila – Educational Studies in Mathematics, 2020

In this paper, we offer a comparative review of research on understanding and promoting students' mathematical thinking. The sources for the review are papers that were published in "Educational Studies in Mathematics" ("ESM") during two windows of time: 1994-1998 and 2014-2018. Selection of these two time periods enables us to…

Descriptors: Educational Research, Mathematical Logic, Research Reports, Mathematics Education

Lew, Kristen; Mejía Ramos, Juan Pablo – Educational Studies in Mathematics, 2020

This paper presents the findings from a survey used to investigate how mathematicians perceive the genre of mathematical proof writing at the undergraduate level. Mathematicians were asked whether various proof excerpts highlighted in four partial proofs were unconventional in each one of three pedagogical contexts: undergraduate mathematics…

Descriptors: Mathematics Instruction, Mathematical Logic, Validity, Undergraduate Students

Melhuish, Kathleen; Ellis, Brittney; Hicks, Michael D. – Educational Studies in Mathematics, 2020

Binary operations are one of the fundamental structures underlying our number and algebraic systems. Yet, researchers have often left their role implicit as they model student understanding of abstract structures. In this paper, we directly analyze students' perceptions of the general binary operation via a two-phase study consisting of task-based…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Computation

Supply, Anne-Sophie; Van Dooren, Wim; Lem, Stephanie; Onghena, Patrick – Educational Studies in Mathematics, 2020

Comparing probabilities is a useful skill in life. Binary choice tasks are popular means in research on probabilistic reasoning. Falk, Yudilevich-Assouline, and Elstein ("Educational Studies in Mathematics," 81(2), 207-233 2012) noted that many of these tasks contain design flaws. We designed and evaluated an extended and improved binary…

Descriptors: Young Children, Mathematics Skills, Probability, Age Differences

Andrade-Molina, Melissa; Montecino, Alex; Aguilar, Mario Sánchez – Educational Studies in Mathematics, 2020

In recent years, the field of mathematics education has witnessed the emergence of several journal rankings. Within these rankings, Ibero-American journals have had little--to almost no--presence. This raises awareness on the current state of journal indexes and on what these indexes do and how they have been used in constituting sites of…

Descriptors: Mathematics Education, Educational Research, Periodicals, Achievement Rating

Kazunga, Cathrine; Bansilal, Sarah – Educational Studies in Mathematics, 2020

The concept of determinant plays a central role in many linear algebra concepts and is also applied to other branches of mathematics and science. In this study, we focus on the application of determinant and inverse matrix concepts, in solving systems of equations by a group of 116 in-service mathematics teachers who were studying the topic at a…

Descriptors: Foreign Countries, Mathematical Concepts, Mathematical Applications, Mathematics Teachers

Ehrenfeld, Nadav; Horn, Ilana S. – Educational Studies in Mathematics, 2020

In this paper, we offer a framework for "teacher monitoring routines"--a consequential yet understudied aspect of instruction when teachers oversee students' working together. Using a comparative case study design, we examine eight lessons of experienced secondary mathematics teachers, identifying common interactional routines that they…

Descriptors: Classroom Techniques, Teacher Behavior, Cooperative Learning, Group Activities

Iannone, Paola; Czichowsky, Christoph; Ruf, Johannes – Educational Studies in Mathematics, 2020

This paper presents findings from a case study on the impact of high stakes oral performance assessment on third year mathematics students' approaches to learning (Entwistle and Ramsden, Understanding student learning, 1983). We choose oral performance assessment as this mode of assessment differs substantially from written exams for its dialogic…

Descriptors: College Students, High Stakes Tests, Verbal Tests, Mathematics Tests

Scheibling-Sève, Calliste; Pasquinelli, Elena; Sander, Emmanuel – Educational Studies in Mathematics, 2020

We propose to assess conceptual knowledge of mathematical notions by having recourse to isomorphic word problems. We assumed that failing to solve isomorphic problems is an indicator of lack of conceptual knowledge. To reach these conclusions, two experiments were conducted among 4th and 5th grade students. In experiment 1, each student had to…

Descriptors: Arithmetic, Word Problems (Mathematics), Problem Solving, Mathematical Concepts

García González, María S.; Sierra, Gustavo Martínez – Educational Studies in Mathematics, 2020

This investigation details the story of Diego, a novice Mexican teacher in secondary school. The story uses a life history approach and describes Diego's process of overcoming mathematics anxiety. Diego experienced mathematics anxiety due to his lack of mathematical knowledge. Having detected this situation, the researchers coached him, focusing…

Descriptors: Foreign Countries, Beginning Teachers, Mathematics Teachers, Secondary School Teachers

Papadopoulos, Ioannis; Gunnarsson, Robert – Educational Studies in Mathematics, 2020

When a number sentence includes more than one operation, students are taught to follow the rules for the order of operations to get the correct result. In this context, brackets are used to determine the operations that should be calculated first. However, it seems that the written format of an arithmetical expression has an impact on the way…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Arithmetic, Foreign Countries

Hankeln, Corinna – Educational Studies in Mathematics, 2020

The study presented in this article takes a closer look at how French and German high-school students deal with a mathematical modeling problem, what blockages they encounter and how differences in the modeling processes between students from both nations can be explained by differences between the teaching and learning of mathematical modeling in…

Descriptors: Foreign Countries, Comparative Education, Mathematical Models, High School Students

Tabach, Michal; Rasmussen, Chris; Dreyfus, Tommy; Apkarian, Naneh – Educational Studies in Mathematics, 2020

The networking of theories is an increasingly common and powerful approach to analyzing complex phenomena such as learning processes in classrooms. In this paper, we aim to advance the theoretical coordination of two approaches that we have previously combined to analyze individual, small group, and whole class mathematical progress. The…

Descriptors: Learning Theories, Mathematics Achievement, Coordination, Evaluation Methods

Lockwood, Elise; Caughman, John S.; Weber, Keith – Educational Studies in Mathematics, 2020

There is a longstanding conversation in the mathematics education literature about proofs that explain versus proofs that only convince. In this essay, we offer a characterization of explanatory proofs with three goals in mind. We first propose a theory of explanatory proofs for mathematics education in terms of representation systems. Then, we…

Descriptors: Mathematical Logic, Mathematics Education, Theories, Mathematical Concepts