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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
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Abramovich, Sergei; Grinshpan, Arcadii Z. – PRIMUS, 2008
This article focuses on the important role of applications in teaching mathematics to students with career paths other than mathematics. These include the fields as diverse as education, engineering, business, and life sciences. Particular attention is given to instructional computing as a means for concept development in mathematics education…
Descriptors: Majors (Students), Education Courses, Mathematics Education, Biological Sciences