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

Briana Goncalves, Ausamah Hobbi, Amir Golnabi

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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 languageEnglish
Title of host publicationISEC 2016 - Proceedings of the 6th IEEE Integrated STEM Education Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages231-234
Number of pages4
ISBN (Electronic)9781467397735
DOIs
StatePublished - 20 Apr 2016
Event6th IEEE Integrated STEM Education Conference, ISEC 2016 - Princeton, United States
Duration: 5 Mar 2016 → …

Other

Other6th IEEE Integrated STEM Education Conference, ISEC 2016
CountryUnited States
CityPrinceton
Period5/03/16 → …

Fingerprint

mathematics
Students
engineering
Graphical user interfaces
Engineering
Graphical User Interface
science
user interface
Calculus
student
kernel
MATLAB
intuition
technical language
Derivatives
Intuitive
instructor
Derivative
Concepts
STEM (science, technology, engineering and mathematics)

Keywords

  • Applications of derivatives
  • Derivative kernel
  • Image processing
  • Math in STEM fields

Cite this

Goncalves, B., Hobbi, A., & Golnabi, A. (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 (pp. 231-234). [7457539] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISECon.2016.7457539
Goncalves, Briana ; Hobbi, Ausamah ; Golnabi, Amir. / A hands-on application-based tool for STEM students to understand differentiation. ISEC 2016 - Proceedings of the 6th IEEE Integrated STEM Education Conference. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 231-234
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Goncalves, B, Hobbi, A & Golnabi, A 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.

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 proceedingConference contributionResearchpeer-review

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Goncalves B, Hobbi A, Golnabi A. A hands-on application-based tool for STEM students to understand differentiation. In ISEC 2016 - Proceedings of the 6th IEEE Integrated STEM Education Conference. Institute of Electrical and Electronics Engineers Inc. 2016. p. 231-234. 7457539 https://doi.org/10.1109/ISECon.2016.7457539