By Leslie P. Steffe

*Children’s Fractional Knowledge* elegantly tracks the development of information, either through kids studying new equipment of reasoning and through 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 comprises reorganizing—not easily utilizing or development upon—their complete quantity wisdom. This speculation is defined intimately utilizing examples of tangible grade-schoolers drawing close difficulties in fractions together with the schemes they build to narrate elements 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 reports supply a novel trip into children’s arithmetic adventure, which regularly varies enormously from that of adults. furthermore, the authors’ descriptive phrases mirror children’s quantitative operations, instead of grownup mathematical words rooted in suggestions that don't reflect—and which within the lecture room may also 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 reports: children’s part-whole, partitive, iterative, and different fraction schemes
- Using the generalized quantity series to supply fraction schemes
- Redefining college mathematics

This clean standpoint is of instant value to researchers in arithmetic schooling. With the up-close lens onto mathematical improvement present in *Children’s Fractional Knowledge*, readers can paintings towards growing more advantageous tools for bettering younger inexperienced persons’ quantitative reasoning skills.