RUMEC Projects List

Cookie with a bite taken out of it RUMEC's purpose is to foster collaborative research in undergraduate mathematics education. It has been and continues to be very successful in this. Members conduct research mostly using the methodology described in Asiala, et al(1996). For projects that have progressed to the writing stage, please take a look at their abstract!

Successful Students' Conceptions of Mean, Standard Deviation, and The Central Limit Theorem (Stats 1)

Project Members: Julie M. Clark and George H. Litman.

Purpose: See our abstract

Status: ???

Understanding Sequences: A Tale of Two Objects (Sequences)

Project Members: David Mathews, Mickey McDonald, and Kevin Strobel

Purpose: Read our abstract.

Status: Published

Student Attitudes towards Abstract Algebra (Attitudes)

Project Members: Julie M. Clark, Clare Hemenway, Denny St. John, Georgia Tolias, and Roozbeh Vakil

Purpose: See our abstract.

Status: Publised, Primus, 9(1), 1999.

Series

Project Members: Rob Merkovsky, Keith Schwingendorf

Purpose: To investigate how calculus students learn and deal with series-related concepts.

Status: ??

Cosets, Normality, and Quotient Groups 1 (CNQ 1)

Project Members: Mark Asiala, Ed Dubinsky, David Mathews, Steve Morics, and Asuman Oktac.

Purpose: See our abstract.

Status: Published.

Divisibility

Project Members: Anne Brown, Georgia Tolias, Karen Thomas

Purpose: To investigate student conceptions using APOS Theory

Status: Published.

Integral I

Project Members: Bronislaw Czarnocha, Ed Dubinsky, Sergio Loch, Vrunda Prabhu, and Draga Vidakovic

Purpose: To investigate student conceptions involving integrals using APOS Theory

Status: Published.

Quantification I

Project Members: Ed Dubinsky, Olga Yiparaki

Purpose: To investigate student conceptions involving quantification using APOS Theory

Status: Published

Binary Operations, Groups and Subgroups (BOGS)

Project Members: Anne Brown, David J. DeVries, Ed Dubinsky, and Karen Thomas

Purpose: See our abstract.

Status: Journal of Mathematical Behavior, 16(3), 187 -- 239, 1997.

Permutations and Symmetries (Perm/Syms)

Project Members: Mark Asiala, Anne Brown, Jennifer Kleiman, Dave Mathews

Purpose: See our abstract.

Status: Published.

The Development of Students' Graphical Understanding of the Derivative (Slope)

Project Members: Mark Asiala, Jim Cottrill, Ed Dubinsky, and Keith Schwingendorf

Purpose: See our abstract.

Status: Journal of Mathematical Behavior, 16,399--431, 1997.

Constructing a Schema : The Case of the Chain Rule (Chain Rule)

Project Members: Julie M. Clark, Francisco Cordero, Jim Cottrill, Bronislaw Czarnocha, David J. DeVries, Denny St. John, Georgia Tolias, and Draga Vidakovic

Purpose: See our abstract.

Status: Published, Journal of Mathematical Behavior, 16(4), 345--364, 1997.

A Story of Progress: Research in Undergraduate Mathematics Education

Project Members: Julie M. Clark , David J. DeVries, George H. Litman, Maria Meletiou , Steve Morics, Keith Schwingendorf, Draga Vidakovic.

Purpose: See our abstract.

Status: Submitted for publication

Cosets, Normality, & Quotient Groups II (CNQ II)

Project Members: Mark Asiala, Julie M. Clark, Steve Morics, and Asuman Oktac.

Purpose: To further investigate student conceptions of cosets, normality, and quotient groups using APOS Theory

Status: ???

Response to Confrey & Costa

Project Members: Ed Dubinsky

Purpose: Respond to misinformation!

Status: Published

Math-On-Line Article

Project Members: Ed Dubinsky

Purpose: Tell how RUMEC was formed, where it's going, and what we're doing

Status: Published in MAA Online.

Glossary

Project Members: David J. DeVries

Purpose: Keep track of terminology

Status: Undergoing continual revision as usage changes!

The Schema Triad - A Calculus Example

Project Members: Bernadette Baker, Laurel Cooley, and Maria Trigueros

Purpose: The researchers examined student understanding of a complex calculus graphing problem. Two dimensions of understanding emerged, one involving properties and teh other involving intervals. A student's coordination of of the two dimensions is referred to as that student's overall calculus graphing schema.

Status: Published in JRME.

Infinity

Project Members: Anne Brown, Mickey McDonald, Georgia Tolias, Draga Vidakovic, Kirk Weller.

Purpose: ??

Status: Several papers published, a few more in progress.

Performance

Project Members: Julie Clark, Ed Dubinsky, Sergio Loch, Kirk Weller, Rob Merkovsky, Kirk Weller

Purpose: ??

Status: Pubhished.

College Algebra

Project Members: Bernadette Baker, Clare Hemenway, and Maria Trigueros

Purpose: The researchers are examining teaching transformations of basic functions to College Algebra students (a common approach) to see if increases their understanding of the function concept. Additionally they are explaining in terms of APOS theory the difficulties
encountered by the students.

Status: In review.

Linear Algebra

Project Members: Ilana Arnon, Julie Clark, Jim Cottrill, Bronislaw Czarnocha, David J. DeVries, Ed Dubinsky, Clare Hemenway, Sergio Loch, Rob Merkovsky, Steve Morics, Vrunda Prabhu, Keith Schwingendorf, Maria Trigueros, Kirk Weller, Dave Carlson, Aaron Montgomery, and Don Muench.

Purpose: ??

Status: Effort ++

Cooperative Learning Project (CLP)

Project Members: Bill Martin and Draga Vidakovic.

Purpose: The purpose of this project is to investigate the possible mechanism of individual learning in a group environment.

Status: Published

Integral II

Project Members: Bronislaw Czarnocha, Sergio Loch, Vrunda Prabhu, Draga Vidakovic.

Purpose: The purpose of this project is to investigate students' learning of the concept of Reimann integral.

Status: Pubhished

Long Range Study

Project Members: G. McCabe, Kuhn, & Keith Schwingendorf.

Purpose: ??

Status: Published

Quantification II

Project Members: Ed Dubinsky, George H. Litman, and Asuman Oktac.

Purpose: ??

Status: Hiatus.

Quantification III

Project Members: Ed Dubinsky, Clare Hemenway, George H. Litman, Steve Morics,

Purpose: ??

Status:??

Writing and Reflective Abstraction

Project Members: Laurel Cooley

Purpose: ??

Status: Published

RUMEC Member Projects

Cookie with a bite taken out of it This list contains the name of RUMEC members (past and present) and the project names he/she worked on or is currently working on.

Ilana -- TO BE ADDED

Anne Brown: Perm/Syms, BOGS,Infinity

, Divisibility

Bernadette Baker: Triad, College Algebra

Julie M. Clark: Stats 1, Stats 2, Attitudes, Chain Rule, CNQ II, Performance, Story of Progress, Linear Algebra