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Brijlall, Deonarain; Ndlovu, Zanele – South African Journal of Education, 2013
This qualitative case study in a rural school in Umgungundlovu District in KwaZulu-Natal, South Africa, explored Grade 12 learners' mental constructions of mathematical knowledge during engagement with optimisation problems. Ten Grade 12 learners who do pure Mathemat-ics participated, and data were collected through structured activity sheets and…
Descriptors: Foreign Countries, High School Students, Problem Solving, Calculus
Brijlall, Deonarain; Maharaj, Aneshkumar – Online Submission, 2011
Continuity of functions appears throughout the grades in South African high school (FET (further education and training)) topics as prescribed by the final draft of the Curriculum and Assessment Policy Statement. This article reports on the use of a combined framework of APOS (action-process-object-schema) and DCT (dual coding theories) to analyze…
Descriptors: Preservice Teachers, Mathematics, Concept Formation, Cognitive Structures
Naidu, Som – 1990
The first of two parts in this document is a student workbook which is designed to teach students how to construct a concept map, i.e., a graphic arrangement of the key concepts in a body of subject matter with connecting lines labelled to show valid and meaningful relationships between the chosen concepts. The workbook provides a discussion of…
Descriptors: Cognitive Mapping, Cognitive Psychology, Cognitive Structures, Concept Formation