By Leslie P. Steffe,John Olive

Children’s Fractional Knowledge elegantly tracks the development of data, either by means of teenagers studying new equipment of reasoning and through the researchers learning their equipment. The ebook 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 a complete, to supply a fragment as a a number of of a unit half, to rework a fragment right into a commensurate fraction, or to mix fractions multiplicatively or additively.


These case reports offer a novel trip into children’s arithmetic adventure, which frequently varies drastically from that of adults. furthermore, the authors’ descriptive phrases mirror children’s quantitative operations, rather than grownup mathematical words rooted in recommendations that don't reflect—and which within the lecture room can 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 university mathematics




This clean standpoint 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 developing more suitable tools for making improvements to younger rookies’ quantitative reasoning skills.

Show description

Read Online or Download Children's Fractional Knowledge PDF

Best number theory books

Zeta Functions, Topology and Quantum Physics: 14 (Developments in Mathematics)

This quantity specializes in quite a few facets of zeta features: a number of zeta values, Ohno’s family, the Riemann speculation, L-functions, polylogarithms, and their interaction with different disciplines. 11 articles on fresh advances are written by way of extraordinary specialists within the above-mentioned fields. each one article starts off with an introductory survey resulting in the interesting new study advancements complete by means of the members.

Class Field Theory: -The Bonn Lectures- Edited by Alexander Schmidt

The current manuscript is a more robust version of a textual content that first seemed less than an identical identify in Bonner Mathematische Schriften, no. 26, and originated from a sequence of lectures given by means of the writer in 1965/66 in Wolfgang Krull's seminar in Bonn. Its major objective is to supply the reader, accustomed to the fundamentals of algebraic quantity idea, a short and instant entry to type box idea.

The Classical Fields: Structural Features of the Real and Rational Numbers (Encyclopedia of Mathematics and its Applications)

The classical fields are the true, rational, advanced and p-adic numbers. every one of those fields includes a number of in detail interwoven algebraical and topological constructions. This complete quantity analyzes the interplay and interdependencies of those assorted facets. the genuine and rational numbers are tested also with recognize to their orderings, and those fields are in comparison to their non-standard opposite numbers.

Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics

This definitive creation to finite point tools used to be completely up-to-date for this 2007 3rd version, which gains very important fabric for either study and alertness of the finite aspect technique. The dialogue of saddle-point difficulties is a spotlight of the ebook and has been elaborated to incorporate many extra nonstandard functions.

Extra info for Children's Fractional Knowledge

Example text

Download PDF sample

Rated 4.88 of 5 – based on 49 votes