A hands-on application-based tool for STEM students to understand differentiation

Briana Goncalves; Ausamah Hobbi; Amir H. Golnabi

doi:10.1109/ISECon.2016.7457539

A hands-on application-based tool for STEM students to understand differentiation

Briana Goncalves, Ausamah Hobbi, Amir H. Golnabi

Applied Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The main goal of this project is to illustrate to college students in science, technology, engineering, and mathematics (STEM) fields some fundamental concepts in calculus. A high-level technical computing language - MATLAB, is the core platform used in the construction of this project. A graphical user interface (GUI) is designed to interactively explain the intuition behind a key mathematical concept: differentiation. The GUI demonstrates how a derivative operation (as a form of kernel) can be applied on one-dimensional (1D) and two-dimensional (2D) images (as a form of vector). The user can interactively select from a set of predetermined operations and images in order to show how the selected kernel operates on the corresponding image. Such interactive tools in calculus courses are of great importance and need, especially for STEM students who seek an intuitive and visual understanding of mathematical notions that are often presented to them as abstract concepts. In addition to students, instructors can greatly benefit from using such tools to elucidate the use of fundamental concepts in mathematics in a real world context.

Original language	English
Title of host publication	ISEC 2016 - Proceedings of the 6th IEEE Integrated STEM Education Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	231-234
Number of pages	4
ISBN (Electronic)	9781467397735
DOIs	https://doi.org/10.1109/ISECon.2016.7457539
State	Published - 20 Apr 2016
Event	6th IEEE Integrated STEM Education Conference, ISEC 2016 - Princeton, United States Duration: 5 Mar 2016 → …

Other

Other	6th IEEE Integrated STEM Education Conference, ISEC 2016
Country	United States
City	Princeton
Period	5/03/16 → …

Keywords

Applications of derivatives
Derivative kernel
Image processing
Math in STEM fields

Access to Document

10.1109/ISECon.2016.7457539

Link to publication in Scopus

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Cite this

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Goncalves, B, Hobbi, A & Golnabi, AH 2016, A hands-on application-based tool for STEM students to understand differentiation. in ISEC 2016 - Proceedings of the 6th IEEE Integrated STEM Education Conference., 7457539, Institute of Electrical and Electronics Engineers Inc., pp. 231-234, 6th IEEE Integrated STEM Education Conference, ISEC 2016, Princeton, United States, 5/03/16. https://doi.org/10.1109/ISECon.2016.7457539

A hands-on application-based tool for STEM students to understand differentiation. / Goncalves, Briana; Hobbi, Ausamah; Golnabi, Amir H.

ISEC 2016 - Proceedings of the 6th IEEE Integrated STEM Education Conference. Institute of Electrical and Electronics Engineers Inc., 2016. p. 231-234 7457539.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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