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Approaches to algebra : perspectives for research and teaching

Approaches to algebra : perspectives for research and teaching (Loan 1 times)

Material type
단행본
Personal Author
Bednarz, Nadine. Kieran, Carolyn. Lee, Lesley , 1942-
Title Statement
Approaches to algebra : perspectives for research and teaching / edited by Nadine Bednarz, Carolyn Kieran, and Lesley Lee.
Publication, Distribution, etc
Dordrecht ;   Boston :   Kluwer Academic Publishers ,   c1996.  
Physical Medium
xv, 345 p. : ill. ; 25 cm.
Series Statement
Mathematics education library ; v. 18
ISBN
0792341457 (hardbound : acid-free paper) 0792341686 (pbk.) 9780792341680 (pbk.)
Bibliography, Etc. Note
Includes bibliographical references (p. 327-342).
Subject Added Entry-Topical Term
Algebra -- Study and teaching.
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008 960606s1996 ne a b 000 0 eng
010 ▼a 96026715
020 ▼a 0792341457 (hardbound : acid-free paper)
020 ▼a 0792341686 (pbk.)
020 ▼a 9780792341680 (pbk.)
035 ▼a (KERIS)REF000014128270
040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009
050 0 0 ▼a QA159 ▼b .A66 1996
082 0 0 ▼a 512/.0071 ▼2 22
090 ▼a 512.0071 ▼b A652
245 0 0 ▼a Approaches to algebra : ▼b perspectives for research and teaching / ▼c edited by Nadine Bednarz, Carolyn Kieran, and Lesley Lee.
260 ▼a Dordrecht ; ▼a Boston : ▼b Kluwer Academic Publishers , ▼c c1996.
300 ▼a xv, 345 p. : ▼b ill. ; ▼c 25 cm.
490 1 ▼a Mathematics education library ; ▼v v. 18
504 ▼a Includes bibliographical references (p. 327-342).
650 0 ▼a Algebra ▼x Study and teaching.
700 1 ▼a Bednarz, Nadine.
700 1 ▼a Kieran, Carolyn.
700 1 ▼a Lee, Lesley , ▼d 1942-
830 0 ▼a Mathematics education library ; ▼v v. 18.
945 ▼a KINS

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/Western Books/ Call Number 512.0071 A652 Accession No. 111540554 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

Introduction. 1. Approaches to Algebra: Perspectives for Research and Teaching; N. Bednarz, et al. Part I: Historical Perspectives in the Development of Algebra. 2. From Euclid to Descartes: Algebra and its Relation to Geometry; L. Charbonneau. 3. The Roles of Geometry and Arithmetic in the Development of Algebra: Historical Remarks from a Didactic Perspective; L. Radford. 4. The Role of Problems and Problem Solving in the Development of Algebra; T. Rojano. Part II: A Generalization Perspective on the Introduction of Algebra. 5. Expressing Generality and Roots of Algebra; J. Mason. 6. An Initiation into Algebraic Culture Through Generalization Activities; L. Lee. 7. Some Reflections on Teaching Algebra Through Generalization; L. Radford. Part III: A Problem-Solving Perspective on the Introduction of Algebra. 8. Emergence and Development of Algebra as a Problem-Solving Tool: Continuities and Discontinuities with Arithmetic; N. Bednarz, B. Janvier. 9. Developing Algebraic Aspects of Problem Solving within a Spreadsheet Environment; T. Rojano. 10. Rough or Smooth? The Transition from Arithmetic to Algebra in Problem Solving; D. Wheeler. 11. Algebraic Thought and the Role of a Manipulable Symbolic Language; A. Bell. 12. Placement and Function of Problems in Algebraic Treatises from Diophantus to Viete; L. Charbonneau, J. Lefebvre. 13. Problem-Solving Approaches to Algebra: Two Aspects; A. Bell. 14. `When is a Problem?': Question from History and Classroom Practice in Algebra; J. Mason. Part IV: AModeling Perspective on the Introduction of Algebra. 15. Mathematical Narratives, Modeling, and Algebra; R. Nemirovsky. 16. Reflections on Mathematical Modeling and the Redefinition of Algebraic Thinking; M.K. Heid. 17. Modeling and the Initiation into Algebra; C. Janvier. Part V: A Functional Perspective on the Introduction of Algebra. 18. A Technology-Intensive Functional Approach to the Emergence of Algebraic Thinking; M.K. Heid. 19. Introducing Algebra by means of a Technology-Supported, Functional Approach; C. Kieran, et al. 20. A Functional Approach to Algebra: Two Issues that Emerge; R. Nemirovsky. Part VI: Synthesis and Directions for Future Research. 21. Backwards and Forwards: Reflections on Different Approaches to Algebra; D. Wheeler. References.


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