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Abramovich, Sergei; Brouwer, Peter – Journal of Computers in Mathematics and Science Teaching, 2009

This paper was prepared in response to the Conference Board of Mathematical Sciences recommendations for the preparation of secondary teachers. It shows how using trigonometry as a conceptual tool in spreadsheet-based applications enables one to develop mathematical understanding in the context of constructing geometric representations of unit…

Descriptors: Elementary School Curriculum, Elementary Secondary Education, Geometric Concepts, Mathematics Instruction

Abramovich, Sergei; Brouwer, Peter – Journal of Computers in Mathematics and Science Teaching, 2009

This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…

Descriptors: Secondary School Teachers, Geometric Concepts, Mathematics Instruction, Mathematics Education

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