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Building Fraction Magnitude Knowledge with Number Lines: Partitioning versus Analogy
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Alexandria A. Viegut; Percival G. Matthews – Grantee Submission, 2023
Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction "x/y," children are often taught to use "partitioning": break the whole into "y" parts, and shade in "x" parts. Past research has shown that partitioning on number lines supports children's fraction…
Descriptors: Fractions, Mathematics Skills, Number Concepts, Skill Development
Building Fraction Magnitude Knowledge with Number Lines: Partitioning versus Analogy
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Alexandria A. Viegut; Percival G. Matthews – Developmental Psychology, 2023
Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction x/y, children are often taught to use "partitioning": Break the whole into y parts and shade in x parts. Past research has shown that partitioning on number lines supports children's fraction magnitude knowledge more than partitioning on…
Descriptors: Fractions, Mathematics Skills, Number Concepts, Skill Development
The Referential Adequacy of Students' Visual Analogies of Fractions.
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Reeve, Robert A.; Pattison, Philippa E. – Mathematical Cognition, 1996
Reports research designed to explore the possibility that conceptually different forms of common-fraction understanding can be identified. Such forms may be associated with differences in fraction problem solving-performance. Contains 50 references. (DDR)
Descriptors: Arithmetic, Cognitive Structures, Elementary Secondary Education, Foreign Countries
Math Activities Using LogoWriter--Investigations.
Flewelling, Gary – 1993
This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…
Descriptors: Arithmetic, Computer Assisted Instruction, Decimal Fractions, Diagrams
Math Activities Using LogoWriter--Numbers & Operations.
Flewelling, Gary – 1993
This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…
Descriptors: Addition, Arithmetic, Computer Assisted Instruction, Diagrams