
Topics in Mathematics For Elementary Teachers
A Technology-Enhanced Experiential Approach
Sergei Abramovich(Author)
Information Age Publishing
2nd Edition
Published on 14. December 2023
Book
Hardback
244 pages
979-8-88730-515-8 (ISBN)
Description
This is the second (revised) edition of the book published in 2010 under the same title. It reflects the author's experience teaching a graduate level mathematics content course for elementary teacher candidates at SUNY Potsdam since 2003. The book addresses a number of recommendations of the Conference Board of the Mathematical Sciences for the preparation of teachers demonstrating how abstract mathematical concepts can be motivated by concrete activities and the use of technology. Such approach to school mathematics makes it easier for teachers to grasp the meaning of generalization, formal proof, and the creation of an increasing number of concepts on higher levels of abstraction. The book's computer-enhanced pedagogy and its strong experiential component enabled by the use of manipulative materials have the potential to reduce mathematics anxiety among teachers and help them develop confidence in teaching the subject matter through modeling and problem solving. Classroom observations of teachers' learning mathematics as a combination of theory and experiment confirm that this approach elevates one's mathematical understanding to a higher ground.
Most of the chapters are motivated by a problem typically found in the elementary mathematics curricula and/or standards (either National or New York State - the context in which the author prepare teachers). By exploring traditional problems in depth, teachers can uncover fundamental mathematical concepts and ideas hidden within a seemingly mundane task. The need to have experience in going beyond traditional expectations for learning is due to the constructivist orientation of contemporary mathematics pedagogy that encourages students to ask questions about mathematics they study. Each chapter (except the last one) includes an activity set that can be used for the development of the variety of assignments for teachers. Digital tools used in the book include spreadsheets, Wolfram Alpha, GeoGebra, Kid Pix Studio Deluxe, and Graphing Calculator (Pacific Tech).
Most of the chapters are motivated by a problem typically found in the elementary mathematics curricula and/or standards (either National or New York State - the context in which the author prepare teachers). By exploring traditional problems in depth, teachers can uncover fundamental mathematical concepts and ideas hidden within a seemingly mundane task. The need to have experience in going beyond traditional expectations for learning is due to the constructivist orientation of contemporary mathematics pedagogy that encourages students to ask questions about mathematics they study. Each chapter (except the last one) includes an activity set that can be used for the development of the variety of assignments for teachers. Digital tools used in the book include spreadsheets, Wolfram Alpha, GeoGebra, Kid Pix Studio Deluxe, and Graphing Calculator (Pacific Tech).
More details
Edition
2nd Revised edition
Language
English
Place of publication
United States
Publishing group
Emerald Publishing Inc
Target group
Professional and scholarly
Edition type
Revised edition
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 14 mm
Weight
520 gr
ISBN-13
979-8-88730-515-8 (9798887305158)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition

Sergei Abramovich
Topics in Mathematics for Elementary Teachers
A Technology-Enhanced Experiential Approach
Book
03/2010
Information Age Publishing
€119.04
Article exhausted; check for reprint
Content
Preface.
Chapter 1. Partition of Whole Numbers: Reasoning With Manipulatives and Computational Experiments.
Chapter 2. Combinatorial Models: From Experiment to Theory.
Chapter 3. Early Algebra With Kid Pix.
Chapter 4. Hidden Mathematics of the Multiplication Table.
Chapter 5. Application of Unit Fractions to Tessellations.
Chapter 6. Divisibility and Prime Numbers.
Chapter 7. Fibonacci Numbers and The Golden Ratio.
Chapter 8. From Arithmetic Sequences to Polygonal Numbers.
Chapter 9. The Multiplication Table Revisited.
Chapter 10. Proof and Proving.
Chapter 11. Computational Problem Solving and Modeling.
Chapter 12. Numbers and Operations in Different Bases.
Chapter 13. Programming Details.
References.
Appendix: Some Useful Formulas.
Author Biography.
Chapter 1. Partition of Whole Numbers: Reasoning With Manipulatives and Computational Experiments.
Chapter 2. Combinatorial Models: From Experiment to Theory.
Chapter 3. Early Algebra With Kid Pix.
Chapter 4. Hidden Mathematics of the Multiplication Table.
Chapter 5. Application of Unit Fractions to Tessellations.
Chapter 6. Divisibility and Prime Numbers.
Chapter 7. Fibonacci Numbers and The Golden Ratio.
Chapter 8. From Arithmetic Sequences to Polygonal Numbers.
Chapter 9. The Multiplication Table Revisited.
Chapter 10. Proof and Proving.
Chapter 11. Computational Problem Solving and Modeling.
Chapter 12. Numbers and Operations in Different Bases.
Chapter 13. Programming Details.
References.
Appendix: Some Useful Formulas.
Author Biography.