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Sheena Tan – For the Learning of Mathematics, 2025
The research on mathematical argumentation has mainly adopted a dialectic lens which focuses on understanding the abstract and logical development of reasoning in argumentation. However, this approach may have overlooked other key aspects of mathematical argumentation, including the unfolding of the meaning-making experience and process during…
Descriptors: Dialogs (Language), Mathematics Instruction, Mathematics Skills, Persuasive Discourse
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Polotskaia, Elena; Savard, Annie; Nadon, Catherine – For the Learning of Mathematics, 2021
Research in mathematics education suggests that learning to solve a problem should involve modelling and visual representation (e.g., Lesh & Zawojewski, 2007). According to researchers, transforming a mental representation of a situation into a visual representation of mathematical relationships between quantities enhances students'…
Descriptors: Mathematics Education, Mathematics Skills, Problem Solving, Mathematical Models
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Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2019
This study aims to explore a phenomenon of a one-off manifestation of mathematical creativity on the part of a student, against the background of her normative and not especially creative behavior--a flash of creativity. We seek to elaborate on this phenomenon in terms of the 4P (person, press, process and product) model of creativity. Namely,…
Descriptors: Creativity, Mathematics Instruction, Models, Personality Traits
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Saljo, Roger; Wyndhamn, Jan – For the Learning of Mathematics, 1988
Investigates to what extent contextual changes in the meaning of the concept of "week" causes problems for children in the fifth and sixth grades. Reports that poor performing children have difficulties in finding the proper semantic referent. (YP)
Descriptors: Elementary Education, Elementary School Mathematics, Foreign Countries, Mathematics
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Boero, Paolo; And Others – For the Learning of Mathematics, 1989
Investigates children's behaviors and conceptual achievements in the transition from informal calculation strategies to a written division algorithm. Describes five different strategies observed in the solution of division problems. Discusses the implications of the children's behavior. (YP)
Descriptors: Algorithms, Computation, Division, Elementary Education
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Clement, John; Konold, Clifford – For the Learning of Mathematics, 1989
Describes basic problem-solving skills and presents a protocol of a student solving a problem. Discusses some of the difficulties in obtaining a correct solution. Lists basic prompts for problem solving. (YP)
Descriptors: College Mathematics, Higher Education, Mathematics Instruction, Mathematics Skills
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Watson, Jane M. – For the Learning of Mathematics, 1988
Presents a selection of solutions of the "Three Hungry Men" problem from grade three to college students with three different strategies used: backward, forward, and forward/backward strategies. Provides error patterns in each strategy. Discusses some implications for teaching of problem solving. (YP)
Descriptors: Algebra, College Mathematics, Elementary School Mathematics, Error Patterns
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Brizuela, Barbara; Schliemann, Analucia – For the Learning of Mathematics, 2004
In this article, the authors seek to re-conceptualize the perspective regarding students' difficulties with algebra. While acknowledging that students "do" have difficulties when learning algebra, they also argue that the generally espoused criteria for algebra as the ability to work with the syntactical rules for solving equations is…
Descriptors: Equations (Mathematics), Elementary School Mathematics, Elementary School Students, Problem Solving