By Leslie P. Steffe,John Olive
Children’s Fractional Knowledge elegantly tracks the development of data, either through youngsters studying new equipment of reasoning and via the researchers learning their equipment. The e-book demanding situations the commonly held trust that children’s entire quantity wisdom is a distraction from their studying of fractions via positing that their fractional studying consists of reorganizing—not easily utilizing or development upon—their entire quantity wisdom. This speculation is defined intimately utilizing examples of exact grade-schoolers drawing close difficulties in fractions together with the schemes they build to narrate components to an entire, 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 stories offer a novel trip into children’s arithmetic adventure, which frequently varies significantly from that of adults. in addition, the authors’ descriptive phrases mirror children’s quantitative operations, rather than grownup mathematical words rooted in strategies 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 experiences: children’s part-whole, partitive, iterative, and different fraction schemes
- Using the generalized quantity series to provide fraction schemes
- Redefining institution 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 greater equipment for making improvements to younger rookies’ quantitative reasoning skills.
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Children's Fractional Knowledge by Leslie P. Steffe,John Olive