Integrating Research on the Graphical Representation of Functions : Studies in Mathematical Thinking and Learning Series - Elizabeth Fennema

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Integrating Research on the Graphical Representation of Functions

By: Elizabeth Fennema (Editor), Thomas P. Carpenter (Editor), Thomas A. Romberg (Editor)

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Hardcover | 1 June 1993 | Edition Number 1

At a Glance

Hardcover
378 Pages

Dimensions(cm)
15.9 x 23.8 x 2.7

Hardcover

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This volume focuses on the important mathematical idea of functions that, with the technology of computers and calculators, can be dynamically represented in ways that have not been possible previously. The book''s editors contend that as result of recent technological developments combined with the integrated knowledge available from research on teaching, instruction, students'' thinking, and assessment, curriculum developers, researchers, and teacher educators are faced with an unprecedented opportunity for making dramatic changes.

The book presents content considerations that occur when the mathematics of graphs and functions relate to curriculum. It also examines content in a carefully considered integration of research that conveys where the field stands and where it might go. Drawing heavily on their own work, the chapter authors reconceptualize research in their specific areas so that this knowledge is integrated with the others'' strands. This model for synthesizing research can serve as a paradigm for how research in mathematics education can -- and probably should -- proceed.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Algebra Psychology Cognition & Cognitive Psychology Mathematical Foundation Computing & I.T.Graphical & Digital Media Applications 3D Graphics & Modelling Education

Teaching of a Specific Subject

Preface	p. ix
Toward a Common Research Perspective	p. 1
Content	p. 10A
Graphing in the K-12Curriculum: the Impact Of the Graphing Calculator	p. 37
Seizing the Opportunity To Make Algebra Mathematically And Pedagogically Interesting	p. 41
Aspects of Understanding On Multiple Perspectives ARepresentations of Linear Relations and Connections Among Them	p. 69
Concluding Discussion	p. 97
Acknowledgments	p. 99
References	p. 99
Functions and Graphs --Perspectives on Student Thinking	p. 101
References	p. 129
Teachers' Thinking About Functions: Historical And Research Perspectives	p. 131
References	p. 156
Acknowledgment	p. 156
Integrating Research On Teachers' Knowledge Of Functions and Their Graphs	p. 159
Functions, Graphing, And Technology: Integrating Research on Learning And Instruction	p. 189
Acknowledgment	p. 233
ViCurricular Implications	p. 238a
Curricular Implications Of Graphical Representations Of Functions	p. 239
References	p. 275
Vii Reactions	p. 278a
The Urgent Need for Proleptic Research in The Representation Of Quantitative Relationships	p. 279
Some Common Themes And Uncommon Directions	p. 334
Author Index	p. 339
Subject Index	p. 345
Table of Contents provided by Publisher. All Rights Reserved.

Integrating Research on the Graphical Representation of Functions

At a Glance

Hardcover

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How to return your order

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