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Abramovich, Sergei2
Brouwer, Peter1
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Abramovich, Sergei; Brouwer, Peter – PRIMUS, 2011
This article is a reflection on an elementary pre-service teacher's intuitive idea offered as a mistaken solution strategy for counting matchsticks. It shows the difficulties in responding to flawed lines of intuitive reasoning arising in the classroom setting. A number of learning environments for teacher professional development are suggested…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Teachers, Elementary School Mathematics
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Abramovich, Sergei; Sugden, Stephen J. – PRIMUS, 2008
Solving indeterminate algebraic equations in integers is a classic topic in the mathematics curricula across grades. At the undergraduate level, the study of solutions of non-linear equations of this kind can be motivated by the use of technology. This article shows how the unity of geometric contextualization and spreadsheet-based amplification…
Descriptors: Educational Technology, Geometric Concepts, Equations (Mathematics), Algebra