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The Mathematics That Every Secondary School Math Teacher Needs to Know - Alan Sultan, Alice F. Artzt

The Mathematics That Every Secondary School Math Teacher Needs to Know

Buch | Softcover
732 Seiten
2010
Routledge (Verlag)
978-0-415-99413-2 (ISBN)
CHF 119,95 inkl. MwSt
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Bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. This title helps pre-service and in-service teachers gain the mathematical insight they need to engage their students in learning mathematics in a multifaceted way.
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 2.9.2010
Reihe/Serie Studies in Mathematical Thinking and Learning Series
Zusatzinfo Following Simple Formal Logic adapted for trim
Verlagsort London
Sprache englisch
Maße 219 x 276 mm
Gewicht 1769 g
Themenwelt Schulbuch / Wörterbuch
Sozialwissenschaften Pädagogik Schulpädagogik / Sekundarstufe I+II
ISBN-10 0-415-99413-6 / 0415994136
ISBN-13 978-0-415-99413-2 / 9780415994132
Zustand Neuware
Informationen gemäß Produktsicherheitsverordnung (GPSR)
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