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Histories of Mathematical Practice: Reconstruction, Genealogy, and the Unruly Pasts of Ruly Knowledge
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Barany, Michael J. – ZDM: Mathematics Education, 2020
Histories of mathematical practice account for mathematical knowledge and action by interpreting presently-available evidence as traces of the events, contexts, and relations that make up the past. Interpretations depend on the assumptions one makes about how mathematical knowledge works, insofar as it is knowledge and insofar as it is…
Descriptors: Mathematics Instruction, Educational History, Mathematical Concepts, Concept Formation
Virtual Manipulatives: What They Are and How Teachers Can Use Them
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Bouck, Emily C.; Flanagan, Sara M. – Intervention in School and Clinic, 2010
Research on the positive impact of using concrete manipulatives in mathematics for students with high-incidence disabilities is clear. Maccini and Gagnon (2000) considered manipulatives to be a best practice in terms of educating students with high-incidence disabilities in mathematics. It would follow, then, that research on virtual manipulatives…
Descriptors: Incidence, Educational Technology, Special Education Teachers, Mathematics Instruction
On the Pedagogical Insight of Mathematicians: "Interaction" and "Transition from the Concrete to the Abstract"
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Iannone, Paola; Nardi, Elena – Journal of Mathematical Behavior, 2005
In this paper, we draw on a 16-month study funded by the Learning and Teaching Support Network in the UK and entitled "Mathematicians as Educational Co-Researchers." The study's aims were two-fold. Primarily we intended to explore mathematicians' reflections on issues identified in the literature as highly topical in the area of teaching…
Descriptors: Feedback (Response), Mathematics Education, Focus Groups, Researchers