id: 06664482
dt: j
an: 2016f.00850
au: West, John
ti: Power patterns: extending number sense through last digit investigations.
so: Aust. Prim. Math. Classr. 21, No. 1, 29-33 (2016).
py: 2016
pu: Australian Association of Mathematics Teachers (AAMT), Adelaide, SA
la: EN
cc: F30 F60 D80
ut: number sense; patterns; activities; high-achieving students
ci:
li:
ab: Summary: Problems sourced from national and international competitions such
as the Australian Mathematics Competition are often used effectively as
enrichment and/or extension activities for high achieving students.
While this has meant that they are sometimes deemed too esoteric or
trivial for use in the regular classroom, this paper takes the view
that the study of patterns and relationships is at the heart of
mathematics and that such problems provide an excellent opportunity for
students to develop a deeper understanding and appreciation of
mathematical reasoning. Thus problems that may be dismissed as mere
mathematical curiosities may in fact represent a valuable resource for
the time-poor teacher. Posamentier and Krulik suggest a range of
strategies for motivating students in mathematics. These include:
indicating a void in students’ knowledge, discovering a pattern,
presenting a challenge, enticing the class with a “gee-whiz”
mathematical result and getting students involved in justifying
mathematical curiosities. The investigation described here incorporates
several of these strategies as students discover the cyclical pattern
that exists in the last digits of the powers of various digits. The
investigation is intended as a possible activity for upper primary
students. (ERIC)
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