Teaching concepts incorrectly
A very brief but provocative article by Julia Adkins appeared in the Mathematics Teacher several years ago (1964). It was entitled “Leave the Door Open!” and emphasized the importance of “providing an atmosphere conducive to the development of creativity,” (p. 486) by keeping questions open for later extensions. For instance, to tell students that it is impossible to subtract seven from three is to deny them the opportunity to think beyond the set of whole numbers. It is to be hoped that all mathematics teachers endorse this philosophy and try to “leave the door open” at every opportunity.
2014 ◽
Vol 28
(4)
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pp. 431-455
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2011 ◽
Vol 14
(2)
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pp. 956-966
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