skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.


Title: The nature of an online work group reveals the teaching knowledge of inquiry-oriented linear algebra instructors through their goals for instruction
Postsecondary instructors interested in inquiry-oriented instruction of linear algebra participated in a sequence of eight one-hour online work group meetings with other inquiry-oriented linear algebra instructors and facilitators. Recordings were analyzed for how two participants referenced goals for instruction in discussions of implementing a new instructional unit on subspaces. We identified four goals for the instruction of teaching subspaces. We discuss the intersections of several goals that exist due to the tension caused by real-world contexts and abstract mathematical concepts. The instructors presented resolutions to the tension by utilizing varying teaching knowledge. Based on the results, we make suggestions for those who want to transition to inquiry-oriented instructional approaches.  more » « less
Award ID(s):
1914793
PAR ID:
10568726
Author(s) / Creator(s):
;
Editor(s):
Cook, S; Katz, B; Moore-Russo, D
Publisher / Repository:
The Special Interest Group of the Mathematical Association of America for Research in Undergraduate Mathematics Education
Date Published:
ISSN:
2474-9346
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. Cook, S.; Katz, B.; Moore-Russo, D. (Ed.)
    Postsecondary instructors interested in inquiry-oriented instruction of Linear Algebra participated in a sequence of eight one-hour online work group meetings with other experienced inquiry-oriented linear algebra facilitators and teachers. Recordings from three meetings were analyzed for how participants referenced goals of instruction in preparation for teaching a new instructional unit on subspaces. We identified four goals of instruction of teaching subspaces. We discuss the intersections of several goals of instruction and possible implications for those who want to transition to inquiry oriented instructional approaches. 
    more » « less
  2. S. Cook; B. Katz; and D. Moore-Russo (Ed.)
    Post-secondary instructors interested in inquiry-oriented instruction of Linear Algebra participated in a sequence of eight one-hour online work group meetings with other experienced inquiry-oriented linear algebra facilitators and teachers. Recordings from three meetings were analyzed for how participants referenced goals of instruction in preparation for teaching a new instructional unit on subspaces. We identified four goals of instruction of teaching subspaces. We discuss the intersections of several goals of instruction and possible implications for those who want to transition to inquiry oriented instructional approaches. 
    more » « less
  3. Cook, S.; Katz, B.; Moore-Russo, D. (Ed.)
    Postsecondary instructors interested in inquiry-oriented instruction of Linear Algebra participated in a sequence of eight one-hour online work group meetings with other experienced inquiry-oriented linear algebra facilitators and teachers. Recordings from three meetings were analyzed for how two participants referenced goals of instruction in preparation for teaching a new instructional unit on subspaces. We identified four goals of instruction of teaching subspaces. We discuss the intersections of several goals of instruction and possible implications for those who want to transition to inquiry oriented instructional approaches. 
    more » « less
  4. Linear algebra instruction is an essential competency that is necessary for success in multiple engineering disciplines. Research in realistic mathematics education and the development of an empirically tested curriculum in inquiry-oriented practices for teaching linear algebra helps improve the ability of instructors to teach the content via multiple lenses and modes. While there have been good instructional materials and strategies developed to apply inquiry-oriented instruction for linear algebra, students struggle to apply and connect the different modes. Game-based learning provides a platform to creatively include multiple modes and strategies in a fun and engaging manner. In this paper, we present we discuss the addition of game-based learning elements into an existing curriculum that teaches undergraduate linear algebra via an inquiry-oriented pedagogy. The aim of this paper is to discuss the game design strategies used in connecting game based learning to inquiry oriented methods. 
    more » « less
  5. Linear algebra instruction is an essential competency that is necessary for success in multiple engineering disciplines. Research in realistic mathematics education and the development of an empirically tested curriculum in inquiry oriented practices for teaching linear algebra helps improve the ability of instructors to teach the content via multiple lenses and modes. While there have been good instructional materials and strategies developed to apply inquiry oriented instruction for linear algebra, students struggle to apply and connect the different modes. Game based learning provides a platform to creatively include multiple modes and strategies via a fun and engaging manner. In this paper, we present we discuss the addition of game-based learning elements into an existing curriculum that teaches undergraduate linear algebra via an inquiry-oriented pedagogy. The aim of this paper is to discuss the game design strategies used in connecting game based learning to inquiry oriented methods. 
    more » « less