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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Technology and Hidden Curriculum in Mathematics Teacher Education
Peter Brouwer; Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 2003 (2003) pp. 2843–2848
Motivated by work done with pre-service teachers in a problem-solving and advanced secondary mathematics courses, this paper shows how computing technologies, including a spreadsheet, Maple, and graphing software enable an informal journey into a...
Topics: Teachers, Mathematics, Curriculum, Schools
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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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Digital Fabrication and Aunt Sarah: Enabling Quadratic Explorations Via Technology.
Michael Connell; Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 2015 (Mar 02, 2015) pp. 3583–3590
When viewed as a content area, mathematics has a split personality. To use an example from language, there are parts of mathematics that function very much like a noun (the concepts of mathematics), while others function more like a verb (procedures,...
Topics: New Possibilities with Information Technology Education, Computational Thinking, Digital Fabrication, Personality, Mathematics
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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
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Teaching and learning mathematics in technologically intensive classrooms.
Michael Connell; Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 2015 (Mar 02, 2015) pp. 2658–2663
Mathematics instruction is currently undergoing significant shifts concerning the nature of both content and the manner in which foundational understandings are to be developed. For example, the National Council of Teachers of Mathematics (NCTM),...
Topics: Classrooms, mathematics education, Mathematics, New Possibilities with Information Technology Education, Technological, Pedagogical Content Knowledge (TPACK)
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Developing Elementary Pre-teachers’ Problem-formulating Skills in Mathematics Using Technology
Sergei Abramovich; Eun Kyeong Cho
Society for Information Technology & Teacher Education International Conference 2006 (Mar 19, 2006) pp. 4372–4377
This paper discusses the use of technology as a medium for problem formulating in elementary mathematics. It is motivated by the authors' work with elementary pre-service teachers. The paper includes ideas, both practical and theoretical, related to ...
Topics: Mathematics, Teachers
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New tools for new thoughts: Effects of changing the “Tools-to-Think- With” on the elementary mathematics methods course.
Michael L. Connell; Sergei Abramovich
Society for Information Technology & Teacher Education International Conference 1999 (1999) pp. 1052–1057
A central tenet of mathematics education reform is the integral role of technology at all grade levels. The current technological changes combined with the changes in the mathematics content and instructional method require elementary mathematics ...
Topics: Educational Technology, Computers, Mathematics, Elementary Education, Instructional Design
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Preparing K-12 Mathematics Teachers to Use a Spreadsheet as an Instructional Tool
Sergei Abramovich; Hollylynne Stohl Drier
Society for Information Technology & Teacher Education International Conference 1999 (1999) pp. 950–954
This paper reflects on activities to help prepare elementary and secondary mathematics teachers to use a spreadsheet as an instructional tool. Collaboration on this paper was born out of common epistemological, pedagogical, and mathematical...
Topics: Teachers, Mathematics, Collaboration
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Spreadsheets: A New Form of Educational Software for School Mathematics?
Sergei Abramovich; Hollylynne Stohl Drier; Sharon Dugdale; Simon Mochon; Erich Neuwirth; John Woodward
International Conference on Mathematics / Science Education and Technology 1999 (1999) pp. 390–395
It has been a worldwide concern that novice mathematics teachers are not well prepared to use technology in the classroom. The lack of such preparation may be due, in part, to a gap between technology offered by schools of education and what the...
Topics: Mathematics, Educational Technology, Teachers, Schools