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Direct linkWilkie, Karina J. – Educational Studies in Mathematics, 2016
Algebra has been explicit in many school curriculum programs from the early years but there are competing views on what content and approaches are appropriate for different levels of schooling. This study investigated 12-13-year-old Australian students' algebraic thinking in a hybrid environment of functional and equation-based approaches to…
Descriptors: Secondary School Mathematics, Algebra, Thinking Skills, Problem Solving
Download full textRumiati, Rumi; Wright, Robert J. – Mathematics Education Research Group of Australasia, 2014
Pat was a 19-year-old attending a Special School for the Intellectually Disabled in Indonesia. She was interviewed by the first author regarding her mental calculation strategies when solving 1- and 2-digit addition and subtraction problems. Results indicate that she was able to see ten as a unit composed of ten ones and was facile in using…
Descriptors: Cognitive Ability, Mental Computation, Special Education, Special Schools
Merrotsy, Peter – Australian Senior Mathematics Journal, 2008
The concept of symmetry is fundamental to mathematics. Arguments and proofs based on symmetry are often aesthetically pleasing because they are subtle and succinct and non-standard. This article uses notions of symmetry to approach the solutions to a broad range of mathematical problems. It responds to Krutetskii's criteria for mathematical…
Descriptors: Logical Thinking, Mathematics Instruction, Cognitive Ability, Mathematical Logic
Wong, Philip Siew Koon – 1989
The purpose of this study was to determine whether students from different academic settings differ in their usage of metacognitive strategies in mathematical problem solving, and if they do, what the differences are. A questionnaire was administered to students at various levels from academic tracks and academic streams requiring them to…
Descriptors: Cognitive Ability, Comprehension, Foreign Countries, Learning Processes
Greeno, James G.; And Others – 1986
Research in this project studied cognitive processes involved in understanding and solving problems used in instruction in the domain of mathematics, and explored implications of these cognitive analyses for the design of instruction. Three general issues were addressed: knowledge required for understanding problems, knowledge of the conditions…
Descriptors: Cognitive Ability, Cognitive Processes, Computation, Convergent Thinking
Suydam, Marilyn N., Ed.; Kasten, Margaret L., Ed. – Investigations in Mathematics Education, 1988
This publication is a compilation of abstracts and critical comments for 12 published investigations in mathematics education. Information for each study includes: purpose; rationale; research design and procedures; findings; and interpretations. For each study abstractor's comments also provide a brief critique. Topics include: planning problem…
Descriptors: Arithmetic, Assignments, Cognitive Ability, Computation
PDF pending restorationReusser, Kurt; And Others – 1990
The main concern of this paper is on the psychological processes of how students understand and solve mathematical word problems, and on how this knowledge can be applied to computer-based tutoring. It is argued that only a better understanding of the psychological requirements for understanding and solving those problems will lead to…
Descriptors: Abstract Reasoning, Artificial Intelligence, Cognitive Ability, Computer Uses in Education
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…
Descriptors: Program Effectiveness, Foreign Countries, Secondary School Students, Mathematics Instruction
