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Stéphane Favier; Jean-Luc Dorier – Educational Studies in Mathematics, 2024
In this research, our objective is to characterize the problem-solving procedures of primary and lower secondary students when they solve problems in real class conditions. To do so, we rely first on the concept of heuristics. As this term is very polysemic, we exploit the definition proposed by Rott (2014) to develop a coding manual and thus…
Descriptors: Heuristics, Semantics, Student Evaluation, Mathematics Skills
Karina J. Wilkie; Sarah Hopkins – Educational Studies in Mathematics, 2024
An important approach for developing children's algebraic thinking involves introducing them to generalized arithmetic at the time they are learning arithmetic. Our aim in this study was to investigate children's attention to and expression of generality with the subtraction-compensation property, as evidence of a type of algebraic thinking known…
Descriptors: Elementary School Mathematics, Elementary School Students, Mathematics Skills, Subtraction
Tomas Højgaard – Educational Studies in Mathematics, 2024
For decades, mastery ambitions related to processes like problem-solving, modelling, and reasoning have been incorporated in mathematics curricula around the world. Meanwhile, such ambitions are hindered by syllabusism, a term I use to denote a conviction that results in mastery of a subject being equated with proficiency in a specific subject…
Descriptors: Mastery Learning, Problem Solving, Mathematics Skills, Mathematics Curriculum
Stijn Van Der Auwera; Bert De Smedt; Joke Torbeyns; Lieven Verschaffel – Educational Studies in Mathematics, 2024
This study is the first to examine the associations between the occurrence, frequency, and adaptivity of children's subtraction by addition strategy use (SBA; e.g., 712 - 346 = ?; 346 + 54 = 400, 400 + 300 = 700, 700 + 12 = 712, and 54 + 300 + 12 = 366) and their underlying conceptual knowledge. Specifically, we focused on two rarely studied…
Descriptors: Mathematics, Subtraction, Addition, Children
Angelika Kullberg; Camilla Björklund; Ulla Runesson Kempe – Educational Studies in Mathematics, 2024
The decomposition of numbers when solving subtraction tasks is regarded as more powerful than counting-based strategies. Still, many students fail to solve subtraction tasks despite using decomposition. To shed light upon this issue, we take a variation theoretical perspective (Marton, 2015) seeing learning as a function of discerning critical…
Descriptors: Subtraction, Number Concepts, Grade 2, Elementary School Students
Hegedus, Stephen J.; Otálora, Yenny – Educational Studies in Mathematics, 2023
Our research aimed to investigate the potential learning benefits to young children of implementing digital interactive multimodal technologies that provide both visual and haptic experiences in elementary mathematics classrooms. We studied the ways in which fourth-grade students collaboratively create collective strategies for solving…
Descriptors: Elementary School Students, Grade 4, Learning Strategies, Cooperative Learning
Lagrange, Jean-Baptiste; Laval, Dominique – Educational Studies in Mathematics, 2023
Programming-based activities are becoming more widespread in curricula. Our theoretical and empirical investigation seeks to identify appropriate ways to connect computer programming and algorithmics to mathematical learning. We take the intermediate value theorem as our starting point, as it is covered by the French school curriculum, and because…
Descriptors: Algorithms, Mathematics Education, Mathematical Concepts, Design
Gerasimova, Daria; Miller, Angela D.; Hjalmarson, Margret A. – Educational Studies in Mathematics, 2023
In mathematics education, researchers often contrast conceptual and procedural teaching approaches, although labels and conceptualizations often vary across studies. Prior research has extensively examined empirical relationships between the two teaching approaches and mathematics achievement. In our study, we aimed to extend this research by…
Descriptors: Teaching Methods, Algebra, Mathematics Achievement, Longitudinal Studies
Buenrostro, Patricia; Ehrenfeld, Nadav – Educational Studies in Mathematics, 2023
Students' opportunities to persevere in making sense of mathematical ideas have long been considered significant to learning. Building on existing literature and a case study of video-based teacher collaborative sensemaking, we propose a conceptual framework for bridging perseverance and sensemaking. This framework synthesizes dispositional,…
Descriptors: Mathematical Logic, Mathematics Skills, Teacher Collaboration, Persistence
Becevic, Semir – Educational Studies in Mathematics, 2023
Little is known about how teachers construct tests. For that reason, this study addresses the use of teacher-constructed tests for assessing educational goals, expressed in terms of student mathematical competencies. The focus is on meanings that upper secondary school mathematics teachers assign to their own test construction practices for…
Descriptors: Test Construction, Teacher Made Tests, Student Evaluation, Competence
Urhan, Selin; Bülbül, Ali – Educational Studies in Mathematics, 2023
Our study aims to determine how Habermas' construct of rationality can serve to identify and interpret the difficulties experienced by university students in the mathematical problem-solving process. To this end, a problem which required modelling and solving a differential equation was used. The problem-solving processes of university students…
Descriptors: Abstract Reasoning, Mathematics Skills, Problem Solving, College Students
Lehmann, Timothy H. – Educational Studies in Mathematics, 2023
Learning to calculate the area of composite shapes is an important application of area measurement but evidence suggests that many middle school students struggle to calculate the area of even simple composite shapes. In this article, I report the findings of a classroom design study conducted to investigate the collective development of…
Descriptors: Measurement, Mathematics Skills, Geometric Concepts, Geometry
Hähkiöniemi, Markus; Francisco, John; Lehtinen, Antti; Nieminen, Pasi; Pehkonen, Salla – Educational Studies in Mathematics, 2023
Previous studies have proposed that students' mathematical understanding develops dynamically through the process known as folding back, in which learners revisit earlier forms of understanding and use them to build even deeper levels of mathematical understanding. Digital learning environments, where students can manipulate representations, are…
Descriptors: Electronic Learning, Educational Environment, Mathematics Skills, Prior Learning
Chimoni, Maria; Pitta-Pantazi, Demetra; Christou, Constantinos – Educational Studies in Mathematics, 2023
Little is known about the cognitive effort associated with algebraic activity in the elementary and middle school grades. However, this investigation is significant for sensitizing teachers and researchers to the mental demands of algebra learning. In this paper, we focus on the relationship between algebraic thinking and domain-general cognitive…
Descriptors: Algebra, Mathematics Skills, Cognitive Processes, Cognitive Ability
Kooloos, Chris; Oolbekkink-Marchand, Helma; van Boven, Saskia; Kaenders, Rainer; Heckman, Gert – Educational Studies in Mathematics, 2022
In mathematical whole-class discussions, teachers can build on various student ideas and develop these ideas toward mathematical goals. This requires teachers to make sense of their students' mathematical thinking, which evidently involves mathematical thinking on the teacher's part. Teacher sense-making of student mathematical thinking has been…
Descriptors: Foreign Countries, High School Teachers, Mathematics Teachers, Discussion (Teaching Technique)