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001 | 978-3-031-02436-8 | ||
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008 | 220601s2021 sz | s |||| 0|eng d | ||
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_a9783031024368 _9978-3-031-02436-8 |
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_a10.1007/978-3-031-02436-8 _2doi |
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_aMcEachern, Andrew. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981290 |
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245 | 1 | 0 |
_aMathematical Problem Factories _h[electronic resource] : _bAlmost Endless Problem Generation / _cby Andrew McEachern, Daniel Ashlock. |
250 | _a1st ed. 2021. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2021. |
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300 |
_aXVII, 147 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
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505 | 0 | _aPreface -- Acknowledgments -- What Are Problem Factories? -- Sequence Extension Problems -- Basic Analytic Geometry Problems -- Problems Using Whole Numbers -- Diagrammatic Representations of Linear Systems -- Polyomino Tiling Puzzles -- Problems-Based on Graph Theory -- The Road Ahead: Other Problem Factories -- Authors' Biographies . | |
520 | _aA problem factory consists of a traditional mathematical analysis of a type of problem that describes many, ideally all, ways that the problems of that type can be cast in a fashion that allows teachers or parents to generate problems for enrichment exercises, tests, and classwork. Some problem factories are easier than others for a teacher or parent to apply, so we also include banks of example problems for users. This text goes through the definition of a problem factory in detail and works through many examples of problem factories. It gives banks of questions generated using each of the examples of problem factories, both the easy ones and the hard ones. This text looks at sequence extension problems (what number comes next?), basic analytic geometry, problems on whole numbers, diagrammatic representations of systems of equations, domino tiling puzzles, and puzzles based on combinatorial graphs. The final chapter previews other possible problem factories. | ||
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_aMathematics. _911584 |
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_aEngineering Mathematics. _93254 |
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_aAshlock, Daniel. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981291 |
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_aSpringerLink (Online service) _981292 |
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_iPrinted edition: _z9783031002823 |
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_iPrinted edition: _z9783031013089 |
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_iPrinted edition: _z9783031035647 |
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