## Computational Experiment Approach to Advanced Secondary Mathematics CurriculumThis book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, the book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book’s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession. |

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Computational Experiment Approach to Advanced Secondary Mathematics Curriculum Sergei Abramovich No preview available - 2016 |

Computational Experiment Approach to Advanced Secondary Mathematics Curriculum Sergei Abramovich No preview available - 2014 |

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Abramovich algebraic analytic arccos arcsin ax bx Chap chosen at random collateral learning Compare theoretical computational experiment approach concept map construct context deep structure demonstration equal equation ax equation x bx equations with parameters Example experimental prob formula function fx geometric Graphing Calculator holds true implies inequalities with parameters intersection interval locus of Eq locus of inequality Mathematics Education Note one’s parabola perimeter problem Pythagorean triples quadratic equation quadratic function rectangle respect to parameter result roots of Eq roots x1 shown in Fig side 2R centered simultaneous equations simultaneous inequalities Solve the inequality solving inequalities spreadsheet Springer Science+Business Media square with side straight-line structure of teaching teacher TEMP theoretical and experimental tion triangle unit circle unit fractions values of parameter variable whence Wolfram Alpha x x x x1 and x2 yields