Search results for "Straight edge"

showing 2 items of 2 documents

Doing Mathematics with Tools: One Task, Four Tools

2016

This chapter illustrates a variety of mathematical and educational issues arising from doing a single task with different tools. One task is considered, bisect an angle. The chapter has four sections, each devoted to issues in using one tool to complete this task: a straight edge and compass; a protractor; a dynamic geometry system; and a book.

Engineering drawingSingle taskStraight edgeCompassProtractorTask (project management)Angle bisector theoremVariety (cybernetics)
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Tools, Human Development and Mathematics

2016

This chapter raises a number of issues from pre-history and history that one mathematics educator considers ‘worthy of mention’ with regard to tools and mathematics. These issues are: tool use in the development of the human species (phylogenesis); tool use in a mathematical culture, ancient Greek mathematics that goes beyond the obvious tools; an example from ancient Indian mathematics that bears some resemblances to Jon’s experimental mathematics described in Chap. 3; the mutual support of hand, mind and artefact in expert use of an abacus; a consideration of a period (sixteenth-century Europe) where there was a rapid advance in the development of mathematical tools.

Stone toolComputer scienceStraight edge010102 general mathematicsIndian mathematicsengineering.material01 natural sciencesHuman development (humanity)EpistemologyExperimental mathematicsMutual support0103 physical sciencesGreek mathematicsMathematics educationengineering010307 mathematical physics0101 mathematicsHuman speciesMathematics
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