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—PART I METHODS OF TEACHING SECONDARY MATHEMATICS Chapter 1 The Challenge of Teaching Today's Students, Mathematics, and Society's Need Chapter 2 Planning for Instruction Long-Range Planning of the Curriculum Unit Plans Short-Range Planning Differentiated Instruction Cooperative Learning Mathematical Tasks Final Thoughts on Lesson Planning Chapter 3 Teaching More Effective Lessons Motivational Techniques Classroom Questioning Strategies for Teaching More Effective Lessons Literacy in Mathematics Writing Chapter 4 The Role of Problem-Solving A Psychnological View of Problem Solving Problem-Solving Preliminaries An Introduction to Problem Solving The Ten Problem-Solving Strategies Creating Mathematical Problems Creativity in Problem Solving Chapter 5 Using Technology to Enhance Mathematics Instruction Calculators Computers Chapter 6 Assessment Assessment for Monitoring Student Progress Assessment for Making Instructional Decisions Evaluating Student Achievement Chapter 7 Enriching Mathematics Instruction Enriching Mathematics Instruction with a Historical Approach Enrichment Techniques for All Levels The Gifted Student Using Calculators to Enrich Instruction Models and Manipulatives That Enrich Instruction Chapter 8 Extracurricular Activities in Mathematics The Mathematics Club Mathematics Teams Mathematics Contests Mathematics Projects The Mathematics Fair Cooperation with a University The School Mathematics Magazine The Mathematics Assembly Program Guest Speakers Program Class Trips of Mathematical Significance Peer Teaching Program The Computer The Bulletin Board 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 Pythagorea...
