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 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.

Show description

Read Online or Download Children's Fractional Knowledge PDF

Best number theory books

Download PDF by Gunther Leobacher,Friedrich Pillichshammer: Introduction to Quasi-Monte Carlo Integration and

This textbook introduces readers to the elemental thoughts of quasi-Monte Carlo tools for numerical integration and to the idea at the back of them. the excellent remedy of the topic with certain causes includes, for instance, lattice ideas, electronic nets and sequences and discrepancy concept.

Download e-book for kindle: Special Functions, Partial Differential Equations, and by Wilfredo Urbina,Alex Stokolos

This quantity of papers provided on the convention in honor of Calixto P. Calderón by means of his associates, colleagues, and scholars is meant to make the mathematical neighborhood conscious of his vital scholarly and learn contributions in modern Harmonic research and Mathematical versions utilized to Biology and drugs, and to stimulate extra study sooner or later during this region of natural and utilized arithmetic.

Pi: The Next Generation: A Sourcebook on the Recent History - download pdf or read online

This ebook incorporates a compendium of 25 papers released because the Nineteen Seventies facing pi and linked subject matters of arithmetic and laptop science.  the gathering starts off with a Foreword by way of Bruce Berndt. each one contribution is preceded via a quick precis of its content material in addition to a brief key thesaurus indicating how the content material pertains to others within the assortment.

Download PDF by Paul J. McCarthy,Markus Hablizel: Arithmetische Funktionen (German Edition)

Dieses Buch bietet eine Einführung in die Theorie der arithmetischen Funktionen, welche zu den klassischen und dynamischen Gebieten der Zahlentheorie gehört. Das Buch enthält breitgefächerte Resultate, die für alle mit den Grundlagen der Zahlentheorie vertrauten Leser zugänglich sind. Der Inhalt geht weit über das Spektrum hinaus, mit dem die meisten Lehrbücher dieses Thema behandeln.

Additional resources for Children's Fractional Knowledge

Sample text

Download PDF sample

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

by Daniel

Rated 4.83 of 5 – based on 47 votes