Leslie P. Steffe,John Olive's Children's Fractional Knowledge PDF

By Leslie P. Steffe,John Olive

ISBN-10: 1441905901

ISBN-13: 9781441905901

ISBN-10: 1489984666

ISBN-13: 9781489984661

Children’s Fractional Knowledge elegantly tracks the development of information, either by way of little ones studying new equipment of reasoning and via the researchers learning their equipment. The ebook demanding situations the generally held trust that children’s entire quantity wisdom is a distraction from their studying of fractions via positing that their fractional studying comprises reorganizing—not easily utilizing or development upon—their entire 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 supply 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 offer a unique trip into children’s arithmetic adventure, which frequently varies vastly from that of adults. furthermore, the authors’ descriptive phrases mirror children’s quantitative operations, instead of grownup mathematical words rooted in techniques 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 experiences: children’s part-whole, partitive, iterative, and different fraction schemes

  • Using the generalized quantity series to provide fraction schemes

  • Redefining college mathematics

This clean point of view 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 developing more suitable equipment for bettering younger newbies’ quantitative reasoning skills.

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Children's Fractional Knowledge by Leslie P. Steffe,John Olive

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Categories: Number Theory