Integrating Research on the Graphical Representation of Functions

Integrating Research on the Graphical Representation of Functions

by Thomas A. Romberg
     
 

ISBN-10: 0805811346

ISBN-13: 9780805811346

Pub. Date: 05/01/1993

Publisher: Taylor & Francis

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,

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Overview

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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Product Details

ISBN-13:
9780805811346
Publisher:
Taylor & Francis
Publication date:
05/01/1993
Series:
Studies in Mathematical Thinking and Learning Series
Edition description:
New Edition
Pages:
376
Product dimensions:
6.10(w) x 9.10(h) x 1.00(d)
Lexile:
1430L (what's this?)

Table of Contents

Preface
1Toward a Common Research Perspective1
2Graphing in the K-12 Curriculum: The Impact of the Graphing Calculator11
3Seizing the Opportunity to Make Algebra Mathematically and Pedagogically Interesting41
4Aspects of Understanding: On Multiple Perspectives and Representations of Linear Relations and Connections Among Them69
5Functions and Graphs - Perspectives on Student Thinking101
6Teachers' Thinking About Functions: Historical and Research Perspectives131
7Integrating Research on Teachers' Knowledge of Functions and Their Graphs159
8Functions, Graphing, and Technology: Integrating Research on Learning and Instruction189
9Curricular Implications of Graphical Representations of Functions239
10The Urgent Need for Proleptic Research in the Representation of Quantitative Relationships279
11Some Common Themes and Uncommon Directions313
Author Index339
Subject Index345

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