Search results for author:"Sergei Abramovich"
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Developing Technology-Mediated Entries into Hidden Mathematics Curriculum as a Vehicle for “Good Learning” by Elementary Pre-Teachers
Sergei Abramovich; Peter Brouwer
Journal of Computers in Mathematics and Science Teaching Vol. 23, No. 3 (2004) pp. 299–322
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...
Topics: Teachers, Elementary Education, Mathematics, Curriculum
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Evolving polygons revisited: Inequalities and computer graphing
Sergei Abramovich; Peter Brouwer
Journal of Computers in Mathematics and Science Teaching Vol. 28, No. 4 (October 2009) pp. 345–358
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...
Topics: Instructional Design, Mathematics, Software, Preservice Teacher Education, Curriculum, Secondary Education, Programming
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Equations with Parameters: A Locus Approach
Sergei Abramovich; Anderson Norton
Journal of Computers in Mathematics and Science Teaching Vol. 25, No. 1 (January 2006) pp. 5–28
This paper introduces technology-based teaching ideas that facilitate the development of qualitative reasoning techniques in the context of quadratic equations with parameters. It reflects on activities designed for prospective secondary mathematics ...
Topics: Preservice Teachers, technology, Technology integration, Cognition, k-12, teacher education, Integration, Mathematics, Preservice Teacher Education, Professional Development, Pedagogy, problem solving, Teaching Methods, Inclusive Education
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Technology as a Medium for Elementary Preteachers' Problem-Posing Experience in Mathematics
Sergei Abramovich; Eun Cho
Journal of Computers in Mathematics and Science Teaching Vol. 25, No. 4 (October 2006) pp. 309–323
This article attempts to extend current research and development activities related to the use of technology in problem posing, to early grades mathematics. It is motivated by the authors' work with elementary preservice teachers toward this goal,...
Topics: Early Childhood Education, Computers, Mathematics, Children, Standards, Preservice Teacher Education
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From Measuring to Formal Demonstration Using Interactive Computational Geoboards and Recurrent Electronic Charts
Sergei Abramovich; Gary Brown
Journal of Computers in Mathematics and Science Teaching Vol. 18, No. 2 (1999) pp. 105–134
The paper shows how the joint use of dynamic geometry program and a spreadsheet may provide a computational environment for exploring geometry on plane lattices that lessens the risk of developing a false empiricist view of mathematics often...
Topics: Educational Technology, Preservice Teacher Education, Mathematics
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Computer as a medium for overcoming misconceptions in solving inequalities
Sergei Abramovich; Amos Ehrlich
Journal of Computers in Mathematics and Science Teaching Vol. 26, No. 3 (July 2007) pp. 181–196
Inequalities are considered among the most useful tools of investigation in pure and applied mathematics; yet their didactical aspects have not received much attention in mathematics education research until recently. An important aspect of teaching ...
Topics: Teaching Methods, Secondary Education, Preservice Teacher Education, Computers, Mathematics
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Evolving polygons and spreadsheets: Connecting mathematics across grade levels in teacher education
Sergei Abramovich; Peter Brouwer
Journal of Computers in Mathematics and Science Teaching Vol. 28, No. 3 (July 2009) pp. 209–220
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...
Topics: Curriculum, Preservice Teacher Education, Software, Instructional Design, Mathematics, Secondary Education, Programming