Developing Deep Knowledge in Middle School Mathematics

This textbook is for prospective teachers of middle school mathematics. It reflects on the authors' experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

Introduces new approaches to teaching mathematics, stressing common sense and applications Furthers conceptual and procedural knowledge of middle school mathematics Proposes intuition and insight as the major means of conceptual development Introduces posing and answering questions as a trigger for creativity in the classroom

Auteur

Sergei Abramovich, Ph.D. is Professor at the State University of New York School of Education and Professional Studies. He is author/co-author/editor of nine books and 220 articles on mathematics education, differential equations, and control theory. His service to educational community includes two founding editor-in-chief appointments (Open Mathematical Education Notes, Advances in Educational Research and Evaluation) and membership on editorial boards of another six professional journals.

Michael L. Connell, Ph.D., is Professor of Mathematics Education at University of Houston-Downtown. Dr. Connell has over 35 years of mathematics education experience at both graduate and undergraduate levels working with students in field based teacher certification programs. His research interests lie at the intersection between educational technology, learning theory, and mathematics education. He has written, presented and published extensively in these areas.

Texte du rabat

This textbook is for prospective teachers of middle school mathematics. It reflects on the authors experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.

Résumé
"This book might be appropriate for a math methods course or maybe a graduate mathematics education course. ... Many of the chapters present interesting exploration questions that stimulate curiosity and motivate perseverance. ... This book offers an ambitious amount of material for a methods course and could be used as a sourcebook for interesting extensions of middle school topics. The chapter on Financial Literacy was a surprise." (Mary Beth Rollick, MAA Reviews, October 3, 2021)

Contenu
Preface.- Chapter 1 Teaching Middle School Mathematics: Standards, Recommendations and Teacher Candidates' Perspectives.- Chapter 2 Modeling Mathematics in the Digital Era.- Chapter 3 Reasoning and Proof.- Chapter 4 Modeling Mathematics with Fractions.- Chapter 5 Decimal and Percent Representation of Rational Numbers.- Chapter 6 Ratio and Proportion.- Chapter 7 Geometry and Measurement.- Chapter 8 Combinatorics.- Chapter 9 Conceptual Approach to the Ideas of Middle School Algebra.- Chapter 10 Patterns and Functions.- Chapter 11 Financial Literacy and Blockchain.- Chapter 12 Probability and Statistical Data Analysis.- Appendix.