Work

Computer-Algebra-Software-Assisted Calculus Instruction, Not Calculus for Dummies: Bespoke Applications Necessitate Theory

Year: 2022

Type: article

Abstract: Today, calculus frequently is taught with artificial intelligence in the form of computer algebra systems. Although these software packages may reduce tedium associated with the mechanics of calculus, they may be less effective if not supplemented by the accompanying teaching of calculus theory. This paper presents two examples from spatial statistics in which computer software in an unsupervised auto-execution mode fails, or can fail, to yield correct calculus results. Accordingly, it emphasizes the need to teach calculus theory when using software packages such as Mathematica and Maple.

Source: AppliedMath

DOI: 10.3390/appliedmath2020016

Author: Daniel A. Griffith

Institution: The University of Texas at Dallas

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Quality education

Open Access status: gold

Estimated APC paid: $1,047