This PDF file presents chapter 18 of The Learning of Mathematics: 69th NCTM
Yearbook in a downloadable file that preserves the design and layout of the book
while allowing users to search and print selected pages.
Chapter 18: Making Sense of Decimal Fraction Algorithms Using
Base-Ten Blocks. Lillie Albert
(Boston College) and John McAdam (Marist College, Poughkeepsie, New York)
present a vignette of prospective teachers as learners of mathematics in an
elementary mathematics methods course as they learn to apply decimal fraction
algorithms using base-ten blocks. A description of a classroom episode is
included to give a sense of how the prospective teachers’ knowledge of place
value regarding whole numbers served as a "scaffold" for learning and thinking
about decimals. The authors also include a discussion of some of the essential
components and underlying principles for teaching and learning decimal
fractions, such as the use of precise mathematical language.
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