id: 06140237
dt: a
an: 2013b.00391
au: Hansen-Smith, Bradford
ti: Folding the circle in half is a text book of information.
so: Paditz, Ludwig (ed.) et al., Proceedings of the 10th international
conference “Models in Developing Mathematics Education”, Dresden,
Saxony, Germany, September 11‒17, 2009. Dresden: Hochschule für
Technik und Wirtschaft (ISBN 83-919465-9-2). 231-234 (2009).
py: 2009
pu: Dresden: Hochschule für Technik und Wirtschaft
la: EN
cc: D42 U62 G22 F22
ut: paper folding; student activities; circles; concept formation
ci:
li:
ab: Summary: This paper addresses folding the circle in half and discussing
some of over one hundred different mathematical terms and functions
generated in that one fold. The simplicity of process in understanding
fundamentals of mathematics by folding circles and observing what is
generated is unknown because we only draw pictures of circles. Examples
are given about observing and exploring relationships in the circle
that are appropriate for first, second, third grade level and beyond.
The traditional educational ‘parts-to-whole’ approach can only be
fully realized through the comprehensive frame of whole-to-parts by
folding the circle. Wholemovement of the circle is not only direct; it
is the only context inclusive to progressively understanding parts
within unity of the whole.
rv: