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Shell Centre for Mathematical Education
Pure investigations - looking deeper
This book from the Shell centre focuses on the pure investigations. The pure investigation tasks are, perhaps, rather different from the other two main types of extended task, those of a practical nature and those of an applied nature, in the sense that they allow students to seek out the pattern and beauty of mathematics without being constrained by real life. The common element amongst all the items within this cluster is the idea that they may be used to stimulate generalisations or optimisations according to the individual need and ability of each student.
Looking deeper
The lead task is Connect 4. The most fruitful area for developing this task seemed to be within general pure investigative mathematics. However, the work could well be carried into a more probability or permutations and combinations based study.
The alternative tasks are:
*Stamps
*Triangles galore
*Drawing squares
*Shape it up
*Dotty polygons
*Chaining
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