2nd Edition

The Mathematics That Every Secondary School Math Teacher Needs to Know

By Alan Sultan, Alice F. Artzt Copyright 2018
    788 Pages 444 B/W Illustrations
    by Routledge

    788 Pages 444 B/W Illustrations
    by Routledge

    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

    Preface

    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

    Biography

    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.