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010   $a1-4384-0580-4
035   $a(CKB)1000000000002098
035   $a(EBL)3406959
035   $a(OCoLC)923397449
035   $a(MiAaPQ)EBC3406959
035   $a(EXLCZ)991000000000002098
100   $a20160801d1994||||  u||            |
101 0 $aeng
135   $aur|n|---|||||
200 10$aDevelopment of Multiplicative Reasoning in the Learning of Mathematics$b[electronic resource]
210   $aIthaca $cState University of New York Press$d1994
215   $a1 online resource (197 p.)
300   $aDescription based upon print version of record.
311   $a0-7914-1764-6 
327   $aCONTENTS; INTRODUCTION; I: THEORETICAL APPROACHES; 1. Children's Multiplying Schemes by Leslie P. Steffe; 2. Multiplicative Conceptual Field: What and Why? by Gerard Vergnaud; 3. Extending the Meaning of Multiplication and Division by Brian Greer; II: THE ROLE OF THE UNIT; 4. Ratio and Proportion: Cognitive Foundations in Unitizing and Norming by Susan J. Lamon; 5. Units of Quantity: A Conceptual Basis Common to Additive and Multiplicative Structures by Merlyn J. Behr, Guershon Harel, Thomas Post, and Richard Lesh; III: RATIO AND RATE
327   $a6. The Development of the Concept of Speed and Its Relationship to Concepts of Rate by Patrick W. Thompson7. Missing-Value Proportional Reasoning Problems: Factors Affecting Informal Reasoning Patterns by James J. Kaput and Mary Maxwell West; IV: MULTIPLICATIVE WORLDS; 8. Splitting, Similarity, and Rate of Change: A New Approach to Multiplication and Exponential Functions by Jere Confrey; 9. Multiplicative Structures and the Development of Logarithms: What Was Lost by the Invention of Function? by Erick Smith and Jere Confrey; V: INTUITIVE MODELS
327   $a10. The Impact of the Number Type on the Solution of Multiplication and Division Problems: Further Considerations by Guershon Harel, Merlyn Behr, Thomas Post, and Richard LeshVI: SUMMARY; 11. Multiple Views of Multiplicative Structure by Thomas E. Kieren; Index; NAME INDEX; A; B; C; D; E; F; G; H; I; J; K; L; M; N; O; P; R; S; T; V; W; SUBJECT INDEX; A; B; C; D; E; F; G; H; I; L; M; N; O; P; Q; R; S; T; U; V; W
606   $aDivision
606   $aMathematics -- Study and teaching (Elementary)
606   $aMultiplication
608   $aElectronic books.
615  4$aDivision.
615  4$aMathematics -- Study and teaching (Elementary).
615  4$aMultiplication.
676   $a372.7/2044
700   $aHarel$b Guershon$0997012
701   $aConfrey$b Jere$0997013
801  0$bAU-PeEL
801  1$bAU-PeEL
801  2$bAU-PeEL
906   $aBOOK
912   $a9910449869503321
996   $aDevelopment of Multiplicative Reasoning in the Learning of Mathematics$92286267
997   $aUNINA