Download e-book for iPad: Children's Fractional Knowledge by Leslie P. Steffe,John Olive

Children’s Fractional Knowledge elegantly tracks the development of information, either by way of young ones studying new equipment of reasoning and through the researchers learning their equipment. The e-book 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 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 reviews supply a unique trip into children’s arithmetic event, which regularly varies significantly from that of adults. additionally, the authors’ descriptive phrases replicate children’s quantitative operations, in preference to grownup mathematical words rooted in recommendations that don't reflect—and which within the lecture room will 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 reviews: children’s part-whole, partitive, iterative, and different fraction schemes


• Using the generalized quantity series to supply fraction schemes


• Redefining institution mathematics

This clean viewpoint 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 growing more suitable equipment for bettering younger novices’ quantitative reasoning skills.