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The Mathematics That Every Secondary School Math Teacher Needs to Know

Buch | Hardcover
732 Seiten
2010
Routledge (Verlag)
978-0-415-99412-5 (ISBN)
62,30 inkl. MwSt
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This clear, interactive, learner-centered text and resource will help pre-service and in-service secondary mathematics teachers gain the deep mathematical insight they need to teach their students in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining.
What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Written in an informal, clear, and interactive learner-centered style, it is designed to help pre-service and in-service teachers gain the deep mathematical insight they need to engage their students in learning mathematics in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining.

Features include Launch questions at the beginning of each section, Student Learning Opportunities, Questions from the Classroom, and highlighted themes throughout to aid readers in becoming teachers who have great "MATH-N-SIGHT":

M Multiple Approaches/Representations

A Applications to Real Life

T Technology

H History

N Nature of Mathematics: Reasoning and Proof

S Solving Problems

I Interlinking Concepts: Connections

G Grade Levels

H Honing of Mathematical Skills

T Typical Errors

This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.

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

Preface

Notes to the Reader/Professor

Acknowledgments






Intuition and Proof



Basics of Number Theory



Theory of Equations



Measurement: Area and Volume



The Triangle: Its Study and Consequences



Building the Real Number System



Building the Complex Numbers



Induction, Recursion and Fractal Dimension



Functions and Modeling


Geometric Transformations


Trigonometry


Data Analysis and Probability


Introduction to Non-Euclidean Geometry


Three Problems of Antiquity



Appendix

Index

Erscheint lt. Verlag 3.8.2010
Reihe/Serie Studies in Mathematical Thinking and Learning Series
Verlagsort London
Sprache englisch
Maße 219 x 276 mm
Themenwelt Schulbuch / Wörterbuch
Mathematik / Informatik Mathematik
Sozialwissenschaften Pädagogik Schulpädagogik / Sekundarstufe I+II
ISBN-10 0-415-99412-8 / 0415994128
ISBN-13 978-0-415-99412-5 / 9780415994125
Zustand Neuware
Informationen gemäß Produktsicherheitsverordnung (GPSR)
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