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Chinnappan, Mohan; Chandler, Paul – Australian Mathematics Teacher, 2010
Contemporary debates on effective pedagogies for K-12 mathematics have called for shifts in the way teachers and teacher educators conceptualise mathematics as a subject and how it should be taught. This is reflected by changes in the curriculum including the inclusion of a strand called Working Mathematically within K-12 mathematics curriculum…
Descriptors: Mathematics Curriculum, Elementary Secondary Education, Problem Solving, Foreign Countries
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Bell, A. W. – Australian Mathematics Teacher, 1982
Students' misconceptions in mathematics and how teaching may be directed to diagnose and eliminate these misconceptions are discussed. Four main types of misconceptions during problem-solving are noted. It is also noted that the basic mathematical processes of generalizing, representing, and explaining are used in selected student self-help…
Descriptors: Cognitive Processes, Educational Research, Instruction, Learning Theories
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Watson, Jane – Australian Mathematics Teacher, 1991
A survey study asked Australian experienced teachers during workshops to rate what they believed to be the most difficult aspects of mathematics in grades seven and eight. Problem solving, number sense, and rational numbers were rated as most difficult. The research question provided a catalyst for action in professional development programs. (MDH)
Descriptors: Cognitive Processes, Educational Diagnosis, Grade 7, Grade 8
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Griffiths, Rachel; Clyne, Margaret – Australian Mathematics Teacher, 1991
Described is the use of story telling as a context to introduce mathematical concepts by providing a model, offering problem-posing situations, stimulating investigation, and illustrating concepts. Examples of appropriate stories are given for the primary and low secondary levels. (MDH)
Descriptors: Classroom Techniques, Cognitive Processes, Concept Formation, Context Effect