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Teaching Secondary Mathematics: Techniques and Enrichment Units

Teaching Secondary Mathematics: Techniques and Enrichment Units

          
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About the Book

This thorough revision of Teaching Secondary Mathematics: Techniques and Enrichment Units includes the most practical, step-by-step techniques for teaching mathematics in today’s assessment and standards driven environment.  Part One on methods discusses all aspects of being a math teacher, from an overview of the discipline, to challenges of teaching today, the role of problem-solving, the importance of planning, assessment strategies, teaching more effective lessons, enriching mathematics instruction, and extracurricular activities for mathematics.  Part Two supplies 125 enrichment units that teachers can use right away in their own classrooms that are suitable for the entire secondary school curriculum spectrum.  From methods to hands on activities, this highly successful book takes students through the whole process of what teaching mathematics in the secondary schools will be like.    New To This Edition:   NEW:Includes the latest information on changes to student assessment that have been made possible due to innovations in technology.   NEW!  Features new content on data driven planning.   NEW!  Completely revised technology chapter reflects the rapidly changing technology environment of today.   NEW!  No chapters remain untouched!

Table of Contents:
PART I METHODS OF TEACHING SECONDARY MATHEMATICS Chapter 1 The Challenge of Teaching Chapter 2 Planning for Instruction Chapter 3 Teaching More Effective Lessons Chapter 4 The Role of Problem-Solving Chapter 5 Using Technology to Enhance Mathematics Instruction Chapter 6 Assessment Chapter 7 Enriching Mathematics Instruction Chapter 8 Extracurricular Activities in Mathematics   PART II ENRICHMENT UNITS FOR THE SECONDARY SCHOOL CLASSROOM Cross-Catalogue of Enrichment Units Constructing Odd-Order Magic Squares Constructing Even-Order Magic Squares Introduction to Alphametics A Checkerboard Calculator The Game of Nim The Tower of Hanoi What Day of the Week Was It? Palindromic Numbers The Fascinating Number Nine Unusual Number Properties Enrichment with a Handheld Calculator Symmetric Multiplication Variations on a Theme–Multiplication Ancient Egyptian Arithmetic Napier's Rods Unit Pricing Successive Discounts and Increases Prime and Composite Factors of a Whole Number Prime Numeration System Repeating Decimal Expansions Peculiarities of Perfect Repeating Decimals Patterns in Mathematics Googol and Googolplex Mathematics of Life Insurance Geometric Dissections The Klein Bottle The Four-Color Map Problem Mathematics on a Bicycle Mathematics and Music Mathematics in Nature The Birthday Problem The Structure of the Number System Excursions in Number Bases Raising Interest Reflexive, Symmetric, and Transitive Relations Bypassing an Inaccessible Region The Inaccessible Angle Triangle Constructions The Criterion of Constructibility Constructing Radical Lengths Constructing a Pentagon Investigating the Isosceles Triangle Fallacy The Equiangular Point The Minimum-Distance Point of a Triangle The Isosceles Triangle Revisited Reflective Properties of the Plane Finding the Length of a Cevian of a Triangle A Surprising Challenge Making Discoveries in Mathematics Tessellations Introducing the Pythagorean Theorem Trisection Revisited Proving Lines Concurrent Squares Proving Points Collinear Angle Measurement with a Circle Trisecting a Circle Ptolemy's Theorem Constructing π The Arbelos The Nine-Point Circle The Euler Line The Simson Line The Butterfly Problem Equicircles The Inscribed Circle and the Right Triangle The Golden Rectangle The Golden Triangle Geometric Fallacies Regular Polyhedra An Introduction to Topology Angles on a Clock Averaging Rates–The Harmonic Mean Howlers Digit Problems Revisited Algebraic Identities A Method for Factoring Trinomials of the Form: ax2 + bx + c Solving Quadratic Equations The Euclidean Algorithm Prime Numbers Algebraic Fallacies Sum Derivations With Arrays Pythagorean Triples Divisibility Fibonacci Sequence Diophantine Equations Continued Fractions and Diophantine Equations Simplifying Expressions Involving Infinity Continued Fraction Expansion of Irrational Numbers The Farey Sequence The Parabolic Envelope Application of Congruence to Divisibility Problem Solving–A Reverse Strategy Decimals and Fractions in Other Bases Polygonal Numbers Networks Angle Trisection–Possible or Impossible? Comparing Means Pascal's Pyramid The Multinomial Theorem Algebraic Solution of Cubic Equations Solving Cubic Equations Calculating Sums of Finite Series A General Formula for the Sum of Series of the Form ∑ tr  A Parabolic Calculator Constructing Ellipses Constructing the Parabola Using Higher Plane Curves to Trisect an Angle Constructing Hypocycloid and Epicycloid Circular Envelopes The Harmonic Sequence Transformations and Matrices The Method of Differences Probability Applied to Baseball Introduction to Geometric Transformations The Circle and the Cardioid Complex-Number Applications Hindu Arithmetic Proving Numbers Irrational How to Use a Computer Spreadsheet to Generate Solutions to Certain Mathematics Problems The Three Worlds of Geometry πie Mix Graphical Iteration The Feigenbaum Plot The Sierpinski Triangle Fractals Appendix Additional Exercises Index About the Authors


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Product Details
  • ISBN-13: 9780135000038
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Depth: 25
  • Height: 276 mm
  • No of Pages: 528
  • Series Title: English
  • Sub Title: Techniques and Enrichment Units
  • Width: 218 mm
  • ISBN-10: 0135000033
  • Publisher Date: 10 Jul 2009
  • Binding: Paperback
  • Edition: 8
  • Language: English
  • Returnable: Y
  • Spine Width: 20 mm
  • Weight: 1070 gr


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