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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, 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
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Abramovich, Sergei; Brown, Gary – Journal of Computers in Mathematics and Science Teaching, 1996
Describes how a software package that includes a spreadsheet, a relation grapher, and a dynamic geometry can contribute to teacher training through an exploratory problem-solving course. Discusses the ways in which technology-rich environments enhance and extend traditional topics. Contains 17 references. (DDR)
Descriptors: Classroom Environment, Computer Software, Course Content, Discovery Learning
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Abramovich, Sergei; Nabors, Wanda – Journal of Computers in Mathematics and Science Teaching, 1998
Suggests that using the iconic and computing features of a spreadsheet enhances the transition from natural language sentences to pictorial and numerical representations of algebraic word problems. Presents work performed in a lab setting with preservice and inservice teachers enrolled in contemporary general mathematics and problem-solving…
Descriptors: Computer Software, Computer Uses in Education, Educational Technology, Elementary Secondary Education
Connell, Michael L.; Abramovich, Sergei – 1999
A central tenet of mathematics education reform is the integral role of technology at all grade levels. Current technological changes combined with changes in mathematics content and instructional method require elementary mathematics teachers to be able to design technology intensive lessons for exploration and discovery of these concepts through…
Descriptors: Computer Software, Computer Uses in Education, Educational Change, Educational Technology