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Ramatlapana, Kim; Berger, Margot – African Journal of Research in Mathematics, Science and Technology Education, 2018
In this paper we probe prospective mathematics teachers' thinking as displayed in their solutions to a geometry content knowledge-based task. Geometry content knowledge is examined in terms of connections made by these prospective teachers between the geometric configurations and the geometric principles established through visualization and…
Descriptors: Preservice Teachers, Mathematics Teachers, Geometric Concepts, Geometry
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Shaker, Hedieh; Berger, Margot – African Journal of Research in Mathematics, Science and Technology Education, 2016
In this paper we explore first-year students' difficulties with the use and interpretation of definitions of mathematical objects as they attempt proof construction exercises in the area of elementary set theory. The participants are students at a historically disadvantaged university in South Africa. In this study the activities and utterances of…
Descriptors: Foreign Countries, College Freshmen, Mathematics Education, Majors (Students)
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Berger, Margot – African Journal of Research in Mathematics, Science and Technology Education, 2011
Research has shown that affordances of computers may be exploited in the design of mathematical tasks so as to provide interesting and challenging activities. At the same time, opportunities for learning mathematics may be constrained if the design of the task is not appropriate. A tool which allows teachers, researchers and task designers to…
Descriptors: Mathematics Instruction, Educational Technology, Technology Uses in Education, Computer Assisted Instruction