### 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 |
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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 |
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Country | United States |

City | Princeton |

Period | 5/03/16 → … |

### Fingerprint

### Keywords

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

### Cite this

*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

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*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.

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 -