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

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.

Show description

Read or Download Children's Fractional Knowledge PDF

Best number theory books

Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads

The booklet offers a self-contained advent to classical Number idea. the entire proofs of the person theorems and the suggestions of the workouts are being awarded step-by-step. a few ancient feedback also are provided. The publication can be directed to complicated undergraduate, starting graduate scholars in addition to to scholars who arrange for mathematical competitions (ex.

Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)

A publication on any mathematical topic past the textbook point is of little price until it comprises new rules and new views. It is helping to incorporate new effects, only if they provide the reader new insights and are provided in addition to recognized outdated ends up in a transparent exposition. it really is with this philosophy that the writer writes this quantity.

Zeta and eta functions: A new hypothesis

Euler-Riemann’s zeta and Dirichlet’s eta capabilities are outlined for genuine adverse numbers as analytic continuation. within the current e-book the writer defines new sequence for zeta and eta capabilities, for actual detrimental and imaginary numbers with out analytic continuation. the recent zeta and eta features hold the nature of harmonic sequence and alternating harmonic sequence respectively for genuine unfavourable numbers, as for genuine optimistic numbers.

Computation with Linear Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Designed as a self-contained account of a few key algorithmic difficulties and their suggestions for linear algebraic teams, this booklet combines in a single unmarried textual content either an creation to the elemental conception of linear algebraic teams and a considerable number of important algorithms. Computation with Linear Algebraic teams bargains a useful consultant to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational staff conception, in addition to these searching for a concise creation to the idea of linear algebraic teams.

Extra info for Children's Fractional Knowledge

Example text

Download PDF sample

Rated 4.46 of 5 – based on 35 votes