**CBMS Issues in Mathematics Education**

Volume: 12;
2003;
206 pp;
Softcover

MSC: Primary 00; 97;

Print ISBN: 978-0-8218-3302-5

Product Code: CBMATH/12

List Price: $54.00

Individual Price: $43.20

**Electronic ISBN: 978-1-4704-2357-5
Product Code: CBMATH/12.E**

List Price: $54.00

Individual Price: $43.20

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# Research in Collegiate Mathematics Education. V

Share this page *Edited by *
*Annie Selden; Ed Dubinsky; Guershon Harel; Fernando Hitt*

A co-publication of the AMS and CBMS

This fifth volume of Research in Collegiate Mathematics Education
(RCME) presents state-of-the-art research on understanding, teaching, and
learning mathematics at the post-secondary level. The articles in RCME are
peer-reviewed for two major features: (1) advancing our understanding of
collegiate mathematics education, and (2) readability by a wide audience of
practicing mathematicians interested in issues affecting their own students.
This is not a collection of scholarly arcana, but a compilation of useful and
informative research regarding the ways our students think about and learn
mathematics.

The volume begins with a study from Mexico of the cross-cutting concept of
variable followed by two studies dealing with aspects of calculus reform. The
next study frames its discussion of students' conceptions of infinite sets
using the psychological work of Efraim Fischbein on (mathematical) intuition.
This is followed by two papers concerned with APOS theory and other frameworks
regarding mathematical understanding. The final study provides some preliminary
results on student learning using technology when lessons are delivered via the
Internet.

Whether specialists in education or mathematicians interested in finding out
about the field, readers will obtain new insights about teaching and learning
and will take away ideas they can use.

Also available from the AMS are RCME IV , III , II , and I in the series, CBMS (Conference Board of the Mathematical Sciences) Issues in Mathematics Education.

This series is published in cooperation with the Mathematical Association of America.

#### Table of Contents

# Table of Contents

## Research in Collegiate Mathematics Education. V

- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface vii8 free
- First-year Undergraduates' Difficulties in Working with Different Uses of Variable 118 free
- Cooperative Learning in Calculus Reform: What Have We Learned? 3047
- Calculus Reform and Traditional Students' Use of Calculus in an Engineering Mechanics Course 5673
- Primary Intuitions and Instruction: The Case of Actual Infinity 7996
- Student Perfomance and Attitudes in Courses Basedon APOS Theory and the ACE Teaching Cycle 97114
- Models and Theories of Mathematical Understanding: Comparing Pirie and Kieren's Model of the Growth of Mathematical Understanding and APOS Theory 132149
- The Nature of Learning in Interactive Technological Environments: A Proposal for a Research Agenda Based on Grounded Theory 182199
- Back Cover Back Cover1225

#### Readership

General mathematical audience interested in mathematics education.