书目名称 | Children‘s Fractional Knowledge |
编辑 | Leslie P. Steffe,John Olive |
视频video | http://file.papertrans.cn/226/225260/225260.mp4 |
概述 | Original work on children‘s construction of fractional knowledge.Provides new research on how the teaching of fractions can be dramatically improved.Written by pioneers in mathematics education |
图书封面 |  |
描述 | .Children’s Fractional Knowledge. elegantly tracks the construction of knowledge, both by children learning new methods of reasoning and by the researchers studying their methods. The book challenges the widely held belief that children’s whole number knowledge is a distraction from their learning of fractions by positing that their fractional learning involves reorganizing—not simply using or building upon—their whole number knowledge. This hypothesis is explained in detail using examples of actual grade-schoolers approaching problems in fractions including the schemes they construct to relate parts to a whole, to produce a fraction as a multiple of a unit part, to transform a fraction into a commensurate fraction, or to combine two fractions multiplicatively or additively...These case studies provide a singular journey into children’s mathematics experience, which often varies greatly from that of adults. Moreover, the authors’ descriptive terms reflect children’s quantitative operations, as opposed to adult mathematical phrases rooted in concepts that do not reflect—and which in the classroom may even suppress—youngsters’ learning experiences...Highlights of the coverage:.....To |
出版日期 | Book 2010 |
关键词 | Children and Mathematics; Commensurate Fractional; Common Partitioning Schemes; Construction of Multipl |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4419-0591-8 |
isbn_softcover | 978-1-4899-8466-1 |
isbn_ebook | 978-1-4419-0591-8 |
copyright | Springer-Verlag US 2010 |