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Table of Contents List of Tables viii List of Figures ix Foreword xi Introduction xv Acknowledgements xxv 1. Myths About Mathematically Talented Students 1 2. Advocacy 19 3. Educational Assessment 63 4. The Diagnostic TestingÛPrescriptive 105 Instruction Model 5. Talent Searches for Elementary Students 141 6. Programming 173 7. Curricula and Materials 223 8. Teaching Mathematically Talented Students 259 9. Case Studies 287 Resources 327 Glossary 347 Appendix: 1998-1999 Mathematical 353 Olympiad Problems (Division E) References 369 Index 383 About the Authors 387 List of Tables 2.1 Roadblocks on the Road of Advocacy 50 2.2 Percentage of Parents Responding to a Question 61 Asking if They Had Contacted School Personnel to Request Special Accommodations 3.1 Summary of Tests 98 4.1 Tests Recommended for Aptitude Testing 109 4.2 Tests Recommended for Diagnostic Pretest 115 5.1 University-Based Academic Talent Searches 146 5.2 Average EXPLORE Scores 150 5.3 Frequencies and Percentile Rankings on the 153 EXPLORE-Mathematics Test for Elementary Talent Search Participants, Grades 3-6, 1996-99 5.4 Grade-Level Test Scores 155 and Above-Level Test Scores of Two Students 5.5 EXPLORE-Mathematics Scores 160 Ranges A, B, and C 6.1 Sample of Accelerative Options 181 6.2 Instructional Options 186 Within the Regular Classroom 6.3 Advantages and Disadvantages 191 of Subject-Matter Acceleration in Mathematics 6.4 Instructional Options Outside 195 of the Regular Classroom 6.5 Issues in Planning Programs 210 for Mathematically Talented Students 7.1 Essential Topics for Mathematically 228 Gifted Elementary Students 7.2 Interesting Enrichment Topics 237 for Mathematically Gifted Students 7.3 Selected Mathematics Standards 242 and Necessary Adaptations for High-Ability Learners 8.1 Factors That Facilitate Change 281 9.1 Zach's EXPLORE-Mathematics Scores 314 9.2 Elizabeth's EXPLORE Scores in Fifth Grade 318
Library of Congress Subject Headings for this publication:
Mathematics -- Study and teaching (Elementary).
Educational acceleration.
Gifted children -- Identification.