id: 05970976
dt: j
an: 2012a.00440
au: Buczynski, Sandy; Gorsky, Jennifer; McGrath, Lynn; Myers, Perla
ti: Sift like Eratosthenes.
so: Teach. Child. Math. 18, No. 2, 110-118 (2011).
py: 2011
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: F63
ut: prime numbers; number concepts; visual stimuli; teaching methods
ci:
li: http://www.nctm.org/publications/article.aspx?id=30687
ab: Summary: The concrete, pictorial, and abstract methods of this lesson give
students access to investigate, isolate, define, and use prime numbers.
In this article, the authors describe an enrichment lesson that offers
opportunities to investigate prime numbers in concrete, pictorial, and
abstract ways. Originally introduced by Jerome Bruner in 1960, the idea
that students must move through three stages (enactive, iconic, and
symbolic, relabeled concrete, pictorial, and abstract) to acquire full
conceptual understanding is one of the basic ideas guiding some
successful mathematics curricula, including that of Singapore. This
lesson centers on the elegant algorithm for efficiently isolating prime
numbers from within a set of counting numbers. It presents
opportunities for students to explore mathematical ideas, make and test
conjectures, and engage in mathematical discussions as they become
better acquainted with the concept of prime numbers. (Contains 4
figures and 2 resources.) (ERIC)
rv: