By Leslie P. Steffe,John Olive

*Children’s Fractional Knowledge* elegantly tracks the development of data, either by means of teenagers studying new equipment of reasoning and through the researchers learning their equipment. The ebook demanding situations the generally held trust that children’s complete quantity wisdom is a distraction from their studying of fractions by way of positing that their fractional studying comprises reorganizing—not easily utilizing or development upon—their complete quantity wisdom. This speculation is defined intimately utilizing examples of tangible grade-schoolers imminent difficulties in fractions together with the schemes they build to narrate elements to a complete, to supply a fragment as a a number of of a unit half, to rework a fragment right into a commensurate fraction, or to mix fractions multiplicatively or additively.

These case reports offer a novel trip into children’s arithmetic adventure, which frequently varies drastically from that of adults. furthermore, the authors’ descriptive phrases mirror children’s quantitative operations, rather than grownup mathematical words rooted in recommendations 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 provide fraction schemes
- Redefining university mathematics

This clean standpoint is of rapid significance 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 suitable tools for making improvements to younger rookies’ quantitative reasoning skills.

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