By Leslie P. Steffe,John Olive
Children’s Fractional Knowledge elegantly tracks the development of information, either by way of teenagers studying new tools of reasoning and by way of the researchers learning their tools. The ebook demanding situations the generally held trust that children’s entire quantity wisdom is a distraction from their studying of fractions through positing that their fractional studying contains reorganizing—not easily utilizing or development upon—their entire quantity wisdom. This speculation is defined intimately utilizing examples of exact grade-schoolers impending difficulties in fractions together with the schemes they build to narrate components to a complete, to provide a fragment as a a number of of a unit half, to remodel a fragment right into a commensurate fraction, or to mix fractions multiplicatively or additively.
These case experiences offer a unique trip into children’s arithmetic adventure, which regularly varies tremendously from that of adults. in addition, the authors’ descriptive phrases replicate children’s quantitative operations, in place of grownup mathematical words rooted in strategies that don't reflect—and which within the lecture room can even suppress—youngsters’ studying experiences.
Highlights of the coverage:
- Toward a formula of a arithmetic of living rather than being
- Operations that produce numerical counting schemes
- Case stories: children’s part-whole, partitive, iterative, and different fraction schemes
- Using the generalized quantity series to supply fraction schemes
- Redefining college mathematics
This clean point of view is of speedy value to researchers in arithmetic schooling. With the up-close lens onto mathematical improvement present in Children’s Fractional Knowledge, readers can paintings towards developing more beneficial equipment for making improvements to younger newcomers’ quantitative reasoning skills.
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Children's Fractional Knowledge by Leslie P. Steffe,John Olive
by Donald
4.4
