By Leslie P. Steffe,John Olive

Children’s Fractional Knowledge elegantly tracks the development of information, either by way of childrens studying new tools of reasoning and via the researchers learning their equipment. The publication demanding situations the commonly held trust that children’s complete quantity wisdom is a distraction from their studying of fractions via positing that their fractional studying contains reorganizing—not easily utilizing or development upon—their complete quantity wisdom. This speculation is defined intimately utilizing examples of exact grade-schoolers coming near near 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 stories offer a novel trip into children’s arithmetic event, which regularly varies enormously from that of adults. in addition, the authors’ descriptive phrases mirror children’s quantitative operations, instead of grownup mathematical words rooted in recommendations that don't reflect—and which within the lecture room will 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 college mathematics

This clean viewpoint is of speedy 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 beneficial tools for bettering younger newcomers’ quantitative reasoning skills.

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