| Preface |
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vii | |
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1 | (6) |
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2 Early Algebraic Thinking: The Case of Equivalence in an Early Algebraic Context |
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7 | (24) |
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3 A Brief Essay on the Need to Consider the "Superficial" Aspects of Learning Algebra |
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31 | (14) |
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45 | (18) |
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5 A Davydov Approach to Early Mathematics |
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63 | (10) |
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PART II Algebra Using Computer Algebra Systems (CAS) |
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6 Technology and the Yin and Yang of Teaching and Learning Mathematics |
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73 | (20) |
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7 CAS and the Future of the Algebra Curriculum |
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93 | (16) |
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8 Algebra in the Age of CAS: Implications for the High School Curriculum: Examples from the CME Project |
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109 | (20) |
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9 A Perspective on the Future of Computer Algebra Systems in School Algebra |
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129 | (18) |
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10 Three-Dimensional Citizens Do Not Deserve a Flatlanders' Education: Curriculum and 3-D Geometry |
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147 | (8) |
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11 Manipulating 3D Objects in a Computer Environment |
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155 | (14) |
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12 Algebra and Geometry: From Two to Three Dimensions |
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169 | (14) |
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13 Thoughts on Elementary Students' Reasoning about 3-D Arrays of Cubes and Polyhedra |
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183 | (20) |
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PART IV Linking Algebra and Geometry |
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14 Linking Geometry and Algebra in the School Mathematics Curriculum |
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203 | (14) |
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15 Linking Geometry and Algebra through Dynamic and Interactive Geometry |
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217 | (14) |
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16 Linking Algebra and Geometry: The Dynamic Geometry Perspective |
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231 | (12) |
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17 Linking Algebra and Geometry in the Interactive Mathematics Program |
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243 | (10) |
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PART V Panel of Practitioners and Curriculum Developers |
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18 Making Future Trends Realities In US Classrooms |
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253 | (6) |
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19 Tools, Technologies, and Trajectories |
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259 | (8) |
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20 Future Trends in School Algebra and Geometry: Reflections on the Vision of Experts |
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267 | (6) |
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21 Thoughts From a Classroom Teacher |
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273 | (4) |
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22 Restoring and Balancing |
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277 | (10) |
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PART VI Reflections by Conference Attendees |
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23 Insights into Dynamic Mathematical Learning Environments |
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287 | (8) |
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24 Instrumental Genesis and Future Research in School Algebra and Geometry |
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295 | (10) |
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25 Closing Remarks: Reflections from a Retiring Mathematics Curriculum Developer |
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305 | (8) |
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313 | (5) |
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Biographies of Presenters |
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318 | (11) |
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329 | |
Lisainfo e-raamatute kohta