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Yan, Xiaoheng; Zazkis, Rina – International Journal of Mathematical Education in Science and Technology, 2022
Windmill images and shapes have a long history in geometry and can be found in problems in different mathematical contexts. In this paper, we share and discuss various problems involving windmill shapes and solutions from geometry, algebra, to elementary number theory. These problems can be used, separately or together, for students to explore…
Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Algebra
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Sinclair, Nathalie; Liljedahl, Peter; Zazkis, Rina – International Journal of Computers for Mathematical Learning, 2006
In undergraduate mathematics courses, pre-service elementary school teachers are often faced with the task of re-learning some of the concepts they themselves struggled with in their own schooling. This often involves different cognitive processes and psychological issues than initial learning: pre-service teachers have had many more opportunities…
Descriptors: Cognitive Processes, Numbers, Number Concepts, Mathematics Instruction
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Liljedahl, Peter; Sinclair, Nathalie; Zazkis, Rina – International Journal of Mathematical Education in Science & Technology, 2006
This study focuses on the nature of preservice elementary school teachers' understandings of several concepts in elementary number theory that are evoked by a computer-based microworld called "Number Worlds". In particular, the focus is on the concepts of factor, multiple and prime number. The notion of "thickness" is examined with respect to…
Descriptors: Number Concepts, Preservice Teachers, Elementary School Mathematics, Computer Assisted Instruction