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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 – PRIMUS, 2009
This article reflects on the author's experience in teaching courses in mathematics content and methods in teacher preparation programs. It shows how technology-enhanced inquiry into a seemingly mundane task on situated addition found in a popular textbook for prospective elementary teachers, can reveal hidden properties of integers associated…
Descriptors: Mathematics Curriculum, Mathematics Instruction, Hidden Curriculum, Teacher Education Curriculum