Program

for the Tenth Special Interest Group of the Mathematical Association of America
 on Research in Undergraduate Mathematics Education

Conference on Research in
Undergraduate Mathematics Education

DoubleTree Hotel, San Diego - Mission Valley, California
February 22 – February 25, 2007


THURSDAY, FEBRUARY 22

5:00 pm – 7:00 pm
 Registration – Southwest Foyer
7:00 pm – 7:15 pm
 Welcome – Ballroom V
7:15 pm – 8:15 pm
Plenary
Ballroom V
 Guershon Harel
University of California, San Diego  		DNR’s Definition of “Mathematics” and Its Pedagogical Consequences; Focus on the Transition between Proof Schemes
8:15 pm – 10:00 pm
Reception


FRIDAY, FEBRUARY 23

7:30 am – 5:00 pm
 Registration – Southeast Foyer
7:30 am – 8:30 am Continental Breakfast – Southwest Foyer
8:30 am – 9:00 am 
Contributed Reports
Ballroom I
 Mark Burtch
 The Role of the Teacher in the Evolution of Conjecturing as a Social Norm 
Ballroom II Sean Larsen
Karen Marrongelle 		Record-of / Tool-for Transitions: Significant Shifts in the Way Students Use Notational Systems
Ballroom III Nissa Yestness
Hortensia Soto-Johnson
Casey Dalton 		Sense of Community: Contributing Factors and Benefits
9:10 am – 9:40 am
Contributed Reports
Ballroom I Michael Oehrtman
Marilyn Carlson		 Framing an Interdisciplinary Multi-Year Professional Development Project for Secondary Mathematics and Science Teachers
Ballroom II Jon Hasenbank
Ted Hodgson 		A Framework for Developing Algebraic Understanding & Procedural Skill: An Initial Assessment
Ballroom III Jeff Connor
Laura Moss 		Student Use of Mathematical Reasoning in Quasi-Empirical Investigations Using Dynamic Geometry Software
9:50 am – 10:20 am
Contributed Reports
Ballroom I Ricardo Nemirovsky
Chris Rasmussen 		Kinesthetic Experiences in the Process of Making Sense of Formal Equations
Ballroom II Susan S. Gray
Barbara J. Loud
Carole P. Sokolowski 		Calculus Students’ Difficulties in Using Variables as Changing Quantities
Ballroom III Richard Millman
Matthew Wells 		Constructing a Conceptual Mathematics Content Course with Integrated Assessment
10:20 am – 10:50 am
Coffee Break – Southwest Foyer
10:50 am – 11:20 am
 Preliminary Reports
Ballroom I Laurie D. Edwards Investigating the Conceptual Basis of Proof
Ballroom II Elise Lockwood
Craig Swinyard		 Research on Students’ Reasoning about the Formal Definition of Limit: An Evolving Conceptual Analysis
Ballroom III Cynthia D’Angelo
Michael Oehrtman		 High School Teachers’ Orientation to Problem Solving and Learning: Striving for an Answer or for Understanding?
Ballroom VI Hope Gerson
Janet Walter 		How Conceptually Important Calculus Ideas and Connections Emerge from Collaborations
San Diego I Axelle P. Faughn
Terran Felter Murphy		 Using Interactive-Geometry Software Based Instruction in a College Trigonometry Course
San Diego II Bernadette Mullins A Partnership Approach to Preparing Future Middle School Mathematics Teachers
11:30 am – 12:00 pm
Preliminary Reports
Ballroom I Jason Belnap Mathematics Teaching Assistants: Using Video Observation with Peer-feedback Sessions for Professional Development
Ballroom II Denis Tanguay Proof Learning: From Truth Towards Validity
Ballroom III Kelly Finn Instructional Strategies Used By College Mathematics Professors in Courses in Which Perspective (grades 7-12) Teachers Enroll
Ballroom VI Karen B. Cicmanec Dissertation Abstracts: Scientific Evidence Related to Teaching and Learning Mathematics
San Diego I Ann D. Bingham Teaching Transformations of Functions Using Modern Dance: An Experiment Pairing a Modern Dance Class with College Algebra
San Diego II Elizabeth Connor
Chris Rasmussen
Michelle Zandieh
Michael Smith 		Mathematical Knowledge for Teaching: The Case of Complex Numbers
12:00 pm – 1:30 pm
 Lunch – Tennis Patio
1:30 pm – 2:30 pm
Plenary

Ballroom VI & VII

 Dennis Pearl
The Ohio State University    
Building a Statistical Paradigm and Infrastructure for Mathematics Education Research
2:40 pm – 3:10 pm   Contributed Reports 
Ballroom VI David Kung
Natasha Speer 		Teaching Assistants Learning to Teach: Recasting Early Teaching Experiences as Rich Learning Opportunities
San Diego I  Sepideh Stewart
Michael O. J. Thomas 		Eigenvalues and Eigenvectors: Formal, Symbolic and Embodied Thinking
San Diego II Stacy A. Brown
Alison Castro 		Why Do Teachers Need a Rich Understanding of Number: Lessons Learned from Teachers’ Use of Standards-Based Whole Number Lessons
3:10 pm – 3:40 pm Coffee Break
3:40 pm – 4:10 pm
Contributed Reports
San Diego I Jung Sook Park
Kyoung Hee Cho
Oh Nam Kwon
Mi Kyung Ju
Chris Rasmussen
Karen Marrongelle 		Teacher’s Questioning in Argumentation: The Case of an Inquiry-Oriented Differential Equations Class
Ballroom VI  Keith Weber
Lara Alcock
Iuliana Radu 		Proving Styles in Advanced Mathematics
San Diego II Carla van de Sande A Framework for Evaluation Online Calculus Courses
4:20 pm – 4:50 pm
Contributed Reports
Ballroom VI  Marilyn Carlson
Stacey Bowling
Larisa Kalachykhina
Kevin Moore
Kelli Wopperer 		The Important of Decentering in the Role of a Professional Learning Community Facilitator
San Diego I Shabnam Kavouian New Definition, Old Concepts: Exploring the Connections in Combinatorics
San Diego II Jacqueline M. Dewar
Curtis D. Bennett 		Developing and Applying a Taxonomy of Mathematical Knowledge-Expertise
5:00 pm – 5:30 pm
Contributed Reports
Ballroom VI  John E. Donovan II The Importance of the Concept of Function for Developing Understanding of First-Order Differential Equations in Multiple Representations
San Diego I  Vicki Sealey
Michael Oehrtman 		Calculus Students’ Assimilation of the Riemann Integral
San Diego II  Marianna Bogomolny
Tanya Berezovski 		Reaching for Understanding with Example-Generation Tasks
6:00 pm – 7:30 pm
Dinner – Brickstones
8:00 pm – 9:00 pm
Workshop on Research-Based Pre-Service Teacher Preparation
San Diego II Eva Thanheiser
Rutgers University
Randy Philipp
San Diego State University
 Using Video and Written Student Work to Support the Mathematical Preparation of Teachers


SATURDAY, FEBRUARY 24

7:30 am – 2:30 pm
 Registration – Southeast Foyer
7:30 am – 8:30 am Continental Breakfast – Southwest Foyer
8:30 am – 9:00 am 
Contributed Reports
Sonoma I Bob Speiser
Chuck Walter		 From Test Cases to Special Cases: Four Undergraduates Unpack a Formula for Combinations
San Diego I   Karen Allen Participation in an Undergraduate Mathematics Class: Advancing Mathematical Activity
San Diego II  Jessica Knapp Students’ Notions of Proof: What Notions Should They Develop?
9:10 am – 9:40 am
Contributed Reports
San Diego I   Draga Vidakovic
Mariana Montiel
Tangül Kabael
Nikita Patterson 		The Relationship between Students’ Understanding of Functions in Cartesian and Polar Coordinate Systems
San Diego II  Shandy Hauk
Mark K. Davis 		Culturally Responsive College Mathematics
Sonoma I Jeffrey M. Rabin
Evan Fuller
Guershon Harel 		Justification and Proof Schemes in High School Algebra Classrooms
9:50 am – 10:20 am
Contributed Reports
Sonoma I  Michelle Zandieh Mathematical Reasoning as Seen Through the Lens of Conceptual Blending
San Diego I   Carol E. Seaman
Jennifer Earles Szydlik 		Mathematical Sophistication among Preservice Elementary Teachers
San Diego II Hortensia Soto-Johnson
Nissa Yestness
Casey Dalton 		Interfering Knowledge: How it Hinders Proof-Writing
10:20 am – 10:50 am
Coffee Break – Southwest Foyer 
10:50 am – 11:50 am Plenary
Sonoma I & II David Tall
The University of Warwick
 Embodiment, Symbolism and Formalism in Undergraduate Mathematics Education
11:50 pm – 1:00 pm
Lunch
1:00 pm – 1:30 pm
Contributed Reports
San Diego I  Matthew Inglis
Juan Pablo Mejia-Ramos 		The Authoritarian Proof Scheme
Sonoma I  Pat Thompson
Marilyn Carlson
Carlos Castillo-Garsow
Irene Bloom
Sharon Lima
Chris Miller
Jeff Rodel
Ana E. Lage 		Affecting Secondary Mathematics Teachers’ Instructional Practices by Affecting their Mathematical Knowledge
San Diego II Casey Dalton
Nissa Yestness
Hortensia Soto-Johnson 		Assessments that Improve Proof Writing Skills
1:40 pm – 2:10 pm
 Contributed Reports
San Diego I Joanne Lobato The Transfer of Learning: A Simple Shift in Assumptions with Multiple Implications for Teaching Undergraduate Mathematics
Sonoma I Pat Thompson
Marilyn Carlson
Carlos Castillo-Garsow
Irene Bloom
Sharon Lima
Chris Miller
Jeff Rodel
Ana E. Lage 		Affecting Secondary Mathematics Teachers’ Instructional Practices by Affecting their Mathematical Knowledge
San Diego II Eric A. Pandiscio Investigating Linear and Exponential Reasoning of Students in a Reformed College Algebra Course
2:20 pm – 2:50 pm
 Contributed Reports
San Diego I John P. Smith III
Natasha Speer
Aladar Horvath 		The Practice of Teaching Collegiate Mathematics: An Important but Missing Topic of Research
Sonoma I Pat Thompson
Marilyn Carlson
Carlos Castillo-Garsow
Irene Bloom
Sharon Lima
Chris Miller
Jeff Rodel
Ana E. Lage 		Affecting Secondary Mathematics Teachers’ Instructional Practices by Affecting their Mathematical Knowledge
San Diego II Nicole Engelke A Framework to Describe the Solution Process for Related Rates Problems
2:50 pm – 3:20 pm Coffee Break  – Southwest Foyer
3:20 pm – 3:50 pm
Preliminary Reports and Discussion Lounge
Catalina II Discussion Lounge Meet with other researchers on topics of special interest. Organize groups during the meetings or in advance through our conference Announcements Page
Catalina I Christine Larson
Jill Nelipovich
Chris Rasmussen
Michael Smith
Michelle Zandieh 		Modeling Perspectives in Linear Algebra
San Diego I Ami Mamolo Points of Misconception Concerning Infinity
San Diego II Ann D. Bingham MAA Math Gateway and Math Digital Library Workshop
Sonoma I David Hasson
Eric Hsu 		How Calculus Students Interact with a Mathematical Authority’s Scientific Use of  Language
4:00 pm – 4:30 pm
Preliminary Reports and Discussion Lounge
Catalina II Discussion Lounge Meet with other researchers on topics of special interest. Organize groups during the meetings or in advance through our conference Announcements Page
Catalina I Joseph F. Wagner A Comparison of Two Mathematicians’ Use of an Inquiry-Oriented Differential Equations Curriculum
San Diego I Lara Alcock
Keith Weber
Anne Seery 		Engaging Mathematics Professors in Discussions about Learning via Annotated Video of Student Proof Attempts
Sonoma I Manya Raman
James Sandefur		 Using Videocases to Bridge the Gap Between Heuristic and Formal Proofs
San Diego II Beste Gucler
Natasha Speer 		College Teachers’ Knowledge of Student Thinking about Limits
4:40 pm – 5:10 pm
Preliminary Reports and Discussion Lounge
Catalina II Discussion Lounge Meet with other researchers on topics of special interest. Organize groups during the meetings or in advance through our conference Announcements Page
Catalina I Nate Hisamura
Arlene Evangelista
Michael Oehrtman 		A Parameterized Version of Mental Actions in an Existing Covariational Reasoning Framework
San Diego I Lee Alan Hanawalt Roher Access to Algebra: Comparative Study of High School Math Students Using Distance Learning at Readiness with College Algebra Classroom Students
Sonoma I Sonya Redmond
Sean Larsen 		Helping Students Learn How to Make Sense of Mathematical Statements Involving Multiple Quantifiers
San Diego II David Wilson Meeting the Needs of the Client Disciplines: An Initial Look at Mathematical Abilities of Students in Science, Technology, and Computer Information Systems
5:20 pm – 6:20 pm
Plenary
Sonoma I & II  
Rafael Núñez
University of California, San Diego    
Meaning, Language, Gesture, and Brain: The Cognitive Science of Human Abstraction, and Why is it Relevant for Mathematics Education
6:30 pm – 8:00 pm
Dinner – On Your Own


SUNDAY, FEBRUARY 25

7:30 am – 8:30 am Continental Breakfast – Southwest Foyer
8:30 am – 9:00 am 
Contributed Reports
San Diego I Egan J. Chernoff Extending the Descriptive Powers of Heuristics and Biases
San Diego II Jae Hee Park
Oh Nam Kwon
Mi Kyung Ju
Chris Rasmussen
Karen Marrongelle		 Roles of Revoicing in the Inquiry-Oriented Mathematics Class: The Case of Undergraduate Differential Equations Class
Sonoma I Evan Fuller
Jeffrey M. Rabin
Guershon Harel 		Intellectual Need in High School Classrooms
9:10 am – 9:40 am
Contributed Reports
San Diego I Ian Whitacre Pedagogy that Makes (Number) Sense: A Classroom Teaching Experiment with Preservice Teachers
San Diego II Jason K. Belnap
Kimberly Allred 		Mathematics Teaching Assistants: Their preparation and current involvement in university instruction
9:50 am – 10:20 am
Contributed Reports
Sonoma I Eleanor C. Sayre
John E. Donovan II		 Intermediate Mechanics Students’ Coordinate System Choice
Sonoma II Dale Winter
Matthew DeLong 		Lesson Planning Practices of Graduate Student Instructors in Mathematics:  Procedures, Resources and Planning Time
San Diego I Patrick Thompson
 Informational session: Presentation of a new RCME manuscript submission website
10:20 am – 10:50 am
Coffee Break – Southwest Foyer
10:50 am – 11:20 am
 Preliminary Reports
San Diego I Vilma Mesa Insights from Instructors using Textbooks for Teaching Mathematics
San Diego II Phil Clark
Marilyn Carlson
Kacie Koch
Angela Ortiz
Joshua McDaniel
Katerina Panagiotou 		Documenting the Emergence of “Speaking in Meaning” as a Sociomathematical Norm in Professional Learning Community Discourse
Sonoma I Judy Sutor
Manuel Garay
Michael Oehrtman 		Assessing Peer Interactions in Secondary Science and Mathematics Teacher Professional Learning Communities
11:30 am – 12:00 pm
Preliminary Reports
San Diego I Elise Lockwood
Sean Larsen
Joanna Bartlo 		Learning How to Support Students’ Reinvention of the Quotient Group Concept
San Diego II Kimberly S. Sofronas
Nick Gorgievski
Larissa B. Schroeder
Chris Hamelin
Charles Vinsonhaler
Thomas C. DeFranco 		The Calculus Project: What Does it Mean to Understand the Calculus?
Sonoma I John Yopp
Wimberly Royster 		Development, Implementation and Assessment of Pre-Service Mathematics Course through University/K-12 Partnerships in a NSF-funded Appalachian MSP
Sonoma II Mika Munakata The Use of Pragmatic Reasoning Schemas to Improve Undergraduate Students’ Logical Reasoning Skills