The Mathematics That Every Secondary School Math Teacher Needs to Know  book cover
2nd Edition

The Mathematics That Every Secondary School Math Teacher Needs to Know

ISBN 9781138228610
Published August 1, 2017 by Routledge
788 Pages 444 B/W Illustrations

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Book Description

Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features:

  • Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts.
  • Practice Problems provide opportunities to apply what has been learned and complete proofs.
  • Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students.

Changes in the Second Edition

  • New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination
  • New problems, simpler proofs, and more illustrative examples
  • Answers and hints for selected problems provided

Table of Contents


Notes to the Reader/Professor

What is New in the Second Edition


Chapter 1 Intuition and Proof

Chapter 2 Basics of Number Theory

Chapter 3 Theory of Equations

Chapter 4 Measurement: Area and Volume

Chapter 5 The Triangle: Its Study and Consequences

Chapter 6 Introduction to Non-Euclidean Geometry

Chapter 7 Constructions and Three Problems of Antiquity

Chapter 8 Building the Real Number System

Chapter 9 Building the Complex Numbers

Chapter 10 Functions and Modeling

Chapter 11 Geometric Transformations

Chapter 12 Trigonometry

Chapter 13 Data Analysis and Probability


Hints and Answers for Selected Problems

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Alan Sultan is Professor of Mathematics at Queens College of the City University of New York, USA.

Alice F. Artzt is Professor of Secondary Mathematics Education at Queens College of the City University of New York, USA.