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Download full textSomasundram, Piriya – EURASIA Journal of Mathematics, Science and Technology Education, 2021
Algebraic thinking in children can bridge the cognitive gap between arithmetic and algebra. This quantitative study aimed to develop and test a cognitive model that examines the cognitive factors influencing algebraic thinking among Year Five pupils. A total of 720 Year Five pupils from randomly selected national schools in Malaysia participated…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Mathematics Skills
Peer reviewedSchmittau, Jean – Journal of Mathematical Behavior, 1993
Based on the cognitive psychological theories of Vygotsky and Davydov, discusses the establishment of connections between mathematical elements, and the algorithmic rules that govern them, and children's spontaneous mathematical concepts. Presents examples that establish connections involving addition and subtraction, comparing numerical…
Descriptors: Addition, Cognitive Development, Cognitive Processes, Elementary Education
Peer reviewedFeinstein, Irwin K. – School Science and Mathematics, 1979
Numerous mathematical examples are presented which illustrate and raise questions about students' tendencies to overgeneralize. (BB)
Descriptors: Cognitive Processes, Concept Formation, Discovery Learning, Generalization
Sandieson, Robert – 1991
This study addressed the problem of promoting generalization of knowledge in people with mental handicaps, by presenting an approach based on the idea that certain cognitive representations of strategies and related concepts are common to solving a wide variety of problems. The surface context of these problems may vary considerably, but all will…
Descriptors: Adolescents, Cognitive Processes, Generalization, Instructional Effectiveness
Peer reviewedSophian, Catherine; And Others – Cognition and Instruction, 1995
Two experiments examined children's early judgments about numerical relations. Found that children as young as three years old are already adept at reasoning about relations between sets, independently of their ability to form numerical representations. Results support the existence of protoquantitative schemas, or ways of thinking about relations…
Descriptors: Cognitive Development, Cognitive Processes, Comprehension, Generalization
Martin, David S.; Jonas, Bruce S. – 1987
The study examined the effectiveness of a program to improve the cognitive skills of 91 hearing impaired college students. Experimental students received systematic cognitive instruction focusing on specific generalizable skills during the experimental period, several times per week, in the contexts of their regular college classes. Instructors of…
Descriptors: Abstract Reasoning, Cognitive Processes, Cognitive Restructuring, College Students
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…
Descriptors: Student Teachers, Mathematics Education, Teacher Effectiveness, Metalinguistics
