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Mathematical Problem Factories - Almost Endless Problem Generation (Paperback)
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Mathematical Problem Factories - Almost Endless Problem Generation (Paperback)
Series: Synthesis Lectures on Mathematics & Statistics
Expected to ship within 10 - 15 working days
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A 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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