Making the connection : research and teaching in undergraduate mathematics education / edited by Marilyn P. Carlson and Chris Rasmussen.
| Uniform Title: | MAA notes ;
no. 73. |
|---|---|
| Corporate Author: | |
| Other Authors: | |
| Language: | English |
| Published: |
Washington, DC :
Mathematical Association of America,
[2008], ©2008.
|
| Series: | MAA notes ;
no. 73. |
| Subjects: | |
| Physical Description: | xi, 319 pages : illustrations ; 28 cm. |
| Format: | Book |
Contents:
- On developing a rich conception of variable / Maria Trigueros and Sally Jacobs
- Rethinking change / Bob Speiser and Chuck Walter
- Foundational reasoning abilities that promote coherence in students' function understanding / Michael Oehrtman, Marilyn Carlson and Patrick Thompson
- The concept of accumulation in calculus / Patrick Thompson and Jason Silverman
- Developing notions of infinity / Michael A. McDonald and Anne Brown
- Layers of abstraction: theory and design for the instruction of limit concepts / Michael Oehrtman
- Divisibility and transparency of number representations / Rina Zazkis
- Overcoming students' difficulties in learning to understand and construct proofs / Annie Selden and John Selden
- Mathematical induction: cognitive and instructional considerations / Guershon Harel and Stacy Brown
- Proving starting from informal notions of symmetry and transformations / Michelle Zandieh, Sean Larson, and Denise Nunley
- Teaching and learning group theory / Keith Weber and Sean Larsen
- Teaching for understanding: a case of students' learning to use the uniqueness theorem as a tool in differential equations / Chris Rasmussen and Wei Ruan
- Meeting new teaching challenges: teaching strategies that mediate between all lecture and all student discovery / Karen Marrongelle and Chris Rasmussen
- Examining interaction patterns in college-level mathematics classes: a case study / Susan Nickerson and Janet Bowers
- Mathematics as a constructive activity: exploiting dimensions of possible variation / John Mason and Anne Watson
- Supporting high achievement in introductory mathematics courses: what we have learned from 30 years of the emerging scholars program / Eric Hsu, Teri J. Murphy and Uri Treisman
- The role of mathematical definitions in mathematics and in undergraduate mathematics courses / Barbara Edwards and Michael Ward
- Computer-based technologies and plausible reasoning / Natalie Sinclair
- Worked examples and concept example usage in understanding mathematical concepts and proofs / Keith Weber, Mary Porter and David Housman
- From concept images to pedagogic structure for a mathematical topic / John Mason
- Promoting effective mathematical practices in students: insights from problem solving research / Marilyn Carlson, Irene Bloom and Peggy Glick
- When students don't apply the knowledge you think they have, rethink your assumptions about transfer / Joanne Lobato
- How do mathematicians learn to teach? Implications from research on teachers and teaching for graduate student professional development / Natasha Speer and Ole Hald.