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 | |
| 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 → … |
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Keywords
- Applications of derivatives
- Derivative kernel
- Image processing
- Math in STEM fields
Cite this
}
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 proceeding › Conference contribution › Research › peer-review
TY - GEN
T1 - A hands-on application-based tool for STEM students to understand differentiation
AU - Goncalves, Briana
AU - Hobbi, Ausamah
AU - Golnabi, Amir
PY - 2016/4/20
Y1 - 2016/4/20
N2 - 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.
AB - 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.
KW - Applications of derivatives
KW - Derivative kernel
KW - Image processing
KW - Math in STEM fields
UR - http://www.scopus.com/inward/record.url?scp=84969921552&partnerID=8YFLogxK
U2 - 10.1109/ISECon.2016.7457539
DO - 10.1109/ISECon.2016.7457539
M3 - Conference contribution
SP - 231
EP - 234
BT - ISEC 2016 - Proceedings of the 6th IEEE Integrated STEM Education Conference
PB - Institute of Electrical and Electronics Engineers Inc.
ER -