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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; Leonov, Gennady A. – International Journal of Mathematical Education in Science and Technology, 2008
This article demonstrates how within an educational context, supported by the notion of hidden mathematics curriculum and enhanced by the use of technology, new mathematical knowledge can be discovered. More specifically, proceeding from the well-known representation of Fibonacci numbers through a second-order difference equation, this article…
Descriptors: Mathematics Curriculum, Numbers, Educational Technology, Calculus
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Abramovich, Sergei; Brouwer, Peter – Journal of Computers in Mathematics and Science Teaching, 2004
This paper suggests that knowledge of the school mathematics curriculum, as one of the key components of teachers' education, can be extended to include concepts and structures that generally belong to hidden domains of the curriculum. Motivated by work done with elementary pre-service teachers in a mathematics course employing a hidden…
Descriptors: Social Environment, Learning Theories, Mathematics Curriculum, Mathematics Instruction