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.
