Title

Design advanced algebra courses with significant learning experiences: Using SageMath to enhance Project-based learning activities

Academic Title

Ph.D.

College

College of Science & Mathematics

Department

Department of Mathematics

Primary Campus

Gainesville

Title of Award Granted

Presidential Innovation Incentive Award

Name of Institution that Granted the Award

University of North Georgia

Keywords

SageMath, mini-project, advanced algebra course, Linear Algebra, Discrete Math

Abstract

In advanced algebra classes, the transition from problem-solving to proof-based writing creates challenges for students. The students are not motivated to excel in these courses because they do not see how the materials can be applied to their real life or other classes. In this proposed project, we aim to create project-based learning activities that provide significant learning experiences for students in these high level classes. In particular, we design mini-projects, including applications of materials from the current classes to topics from some other classes or real life experience. These mini-projects require both the understanding of abstract concepts and the ability to conduct multiple computational steps. To help students complete the mini-projects effectively, we teach students to use SageMath, a free open-source mathematics software system with capabilities of abstract and symbolic computation, as a powerful calculator to complete their mini-projects. This new form of learning also serves as a preparatory step for students in their Senior projects. A pilot study is to implement this project in the Linear Algebra and Discrete Mathematics courses at UNG.

Biography

Nham Ngo has been an Assistant Professor of Mathematics at UNG-Gainesville since 2016. He got PhD degree from the University of Georgia in 2012. His research interests are Representation Theory and Algebraic Geometry. Irfan Bagci is an Associate Professor of Mathematics at UNG-Gainesville. He got PhD degree from the University of Georgia in 2009. His research interests are Representation Theory, Lie Algebras and Lie superalgebras.

Proposal Type

Poster

Subject Area

Mathematics

Start Date

15-11-2019 12:00 PM

End Date

15-11-2019 2:30 PM

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Nov 15th, 12:00 PM Nov 15th, 2:30 PM

Design advanced algebra courses with significant learning experiences: Using SageMath to enhance Project-based learning activities

In advanced algebra classes, the transition from problem-solving to proof-based writing creates challenges for students. The students are not motivated to excel in these courses because they do not see how the materials can be applied to their real life or other classes. In this proposed project, we aim to create project-based learning activities that provide significant learning experiences for students in these high level classes. In particular, we design mini-projects, including applications of materials from the current classes to topics from some other classes or real life experience. These mini-projects require both the understanding of abstract concepts and the ability to conduct multiple computational steps. To help students complete the mini-projects effectively, we teach students to use SageMath, a free open-source mathematics software system with capabilities of abstract and symbolic computation, as a powerful calculator to complete their mini-projects. This new form of learning also serves as a preparatory step for students in their Senior projects. A pilot study is to implement this project in the Linear Algebra and Discrete Mathematics courses at UNG.