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Michael D. Hicks – Educational Studies in Mathematics, 2024
Despite the prominence of analogies in mathematics, little attention has been given to exploring students' processes of analogical reasoning, and even less research exists on revealing how students might be empowered to independently and productively reason by analogy to establish new (to them) mathematics. I argue that the lack of a cohesive…
Descriptors: Logical Thinking, Mathematics Skills, Mathematics Education, Algebra
Mehmet Fatih Ozmantar; Medine Coskun; Ali Bozkurt – Educational Studies in Mathematics, 2025
This paper investigates how mathematics teachers describe their ethical decision making related to instructional practices, drawing on frameworks that incorporate both rational and non-rational approaches. We employed a multiple-case study method, selecting three teachers as cases through criterion sampling. Data were collected via four…
Descriptors: Mathematics Teachers, Ethics, Decision Making, Educational Practices
Supply, Anne-Sophie; Vanluydt, Elien; Van Dooren, Wim; Onghena, Patrick – Educational Studies in Mathematics, 2023
Findings on children's proportional reasoning abilities strongly vary across studies. This might be due to the different contexts that can be used in proportional problems: fair-sharing, mixtures, and probability. A review of the scientific literature suggests that the context of proportional problems may not only impact the difficulty of the…
Descriptors: Abstract Reasoning, Thinking Skills, Young Children, Problem Solving

Hadar, N. – Educational Studies in Mathematics, 1978
This is the third in a sequence of three papers describing an investigation of fifth graders' ability to learn to distinguish between valid and fallacious inferences from simple conditional premises. This paper presents the research design and results. (MN)
Descriptors: Abstract Reasoning, Deduction, Educational Research, Elementary Education

O'Brien, Thomas C.; And Others – Educational Studies in Mathematics, 1971
An experimental study of children's confusion between if" and if and only if" statements when phrased in different language and used in different contexts (grades 4, 6, 8, and 10). (MM)
Descriptors: Abstract Reasoning, Cognitive Processes, Context Clues, Elementary School Mathematics
Bakker, Arthur; Hoffmann, Michael H. G. – Educational Studies in Mathematics, 2005
In recent years, semiotics has become an innovative theoretical framework in mathematics education. The purpose of this article is to show that semiotics can be used to explain learning as a process of experimenting with and communicating about one's own representations (in particular "diagrams") of mathematical problems. As a paradigmatic…
Descriptors: Logical Thinking, Concept Formation, Semiotics, Statistical Distributions

Duval, Raymond – Educational Studies in Mathematics, 1991
Beginning geometry students misunderstand the requirements of formal proof because of confusion between deductive reasoning and argumentation. Presented is a cognitive analysis of deductive organization versus argumentative organization of reasoning and the applications of this analysis to learning. Implications of a study analyzing students'…
Descriptors: Abstract Reasoning, Cognitive Processes, Deduction, French