The Mathematics That Every Secondary School Math Teacher Needs to Know

Routledge (Verlag)
  • 2. Auflage
  • |
  • erschienen am 20. Juli 2017
  • |
  • 788 Seiten
E-Book | ePUB mit Adobe-DRM | Systemvoraussetzungen
978-1-315-39188-5 (ISBN)

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

      2. Auflage
      • Englisch
      • London
      • |
      • Großbritannien
      Taylor & Francis Ltd
      • Für höhere Schule und Studium
      • Neue Ausgabe
      • 444 s/w Abbildungen, 14 s/w Photographien bzw. Rasterbilder, 430 s/w Zeichnungen
      • |
      • 444 schwarz-weiße Abbildungen, 14 schwarz-weiße Fotos, 430 schwarz-weiße Zeichnungen
      • 42,92 MB
      978-1-315-39188-5 (9781315391885)
      weitere Ausgaben werden ermittelt

      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.


      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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