Guided Learning and Assessments for Advanced Mathematical Methods for Engineering and Physics

Fuente: ERIC Institute of Education Sciences
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Autores principales: Andrei Ludu, Maria Ludu, Teha Cooks
Formato: Recurso educativo Open Access
Lenguaje:en
Publicado: 2025
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author Andrei Ludu
Maria Ludu
Teha Cooks
author_facet Andrei Ludu
Maria Ludu
Teha Cooks
Andrei Ludu
Maria Ludu
Teha Cooks
collection Education Resources Information Center
contents Guided Learning and Assessments for Advanced Mathematical Methods for Engineering and Physics Andrei Ludu Maria Ludu Teha Cooks Teaching Methods Computer Assisted Instruction Mathematics Education Engineering Education Physics Problem Solving Equations (Mathematics) Computation Mathematics Tests Algebra Computer Assisted Testing Multiple Choice Tests This paper presents research activity on computer-based mathematics learning to study the effectiveness of open-source teaching computer platforms (Canvas) in computer-assisted instruction. We designed a set of multiple-choice online quizzes as a dynamical flow-chart of possible paths to follow while solving a difficult math problem on differential operators, Fourier series of partial differential equations of mathematical physics. At each step in the quiz the student is helped to resolve the partial question and then the dynamical flow-chart directs the student to either repeat the calculations or conclusions for that local answer, or go to a certain file library with content to read, or even directed solve an extra additional mini-quiz on the side, usually related to prerequisite knowledge, and then come back at the same point in the main quiz. This type of computer algebra assisted assignment allows the conversion of traditional paper and pencil math answers from analog form into digital form, so the assessments can be easily processed and graded as multiple-choice quizzes.
format Recurso educativo Open Access
id eric_EJ1480618
institution ERIC Institute of Education Sciences
language en
publishDate 2025
record_format eric
spellingShingle Guided Learning and Assessments for Advanced Mathematical Methods for Engineering and Physics
Andrei Ludu
Maria Ludu
Teha Cooks
Teaching Methods
Computer Assisted Instruction
Mathematics Education
Engineering Education
Physics
Problem Solving
Equations (Mathematics)
Computation
Mathematics Tests
Algebra
Computer Assisted Testing
Multiple Choice Tests
Guided Learning and Assessments for Advanced Mathematical Methods for Engineering and Physics Andrei Ludu Maria Ludu Teha Cooks Teaching Methods Computer Assisted Instruction Mathematics Education Engineering Education Physics Problem Solving Equations (Mathematics) Computation Mathematics Tests Algebra Computer Assisted Testing Multiple Choice Tests This paper presents research activity on computer-based mathematics learning to study the effectiveness of open-source teaching computer platforms (Canvas) in computer-assisted instruction. We designed a set of multiple-choice online quizzes as a dynamical flow-chart of possible paths to follow while solving a difficult math problem on differential operators, Fourier series of partial differential equations of mathematical physics. At each step in the quiz the student is helped to resolve the partial question and then the dynamical flow-chart directs the student to either repeat the calculations or conclusions for that local answer, or go to a certain file library with content to read, or even directed solve an extra additional mini-quiz on the side, usually related to prerequisite knowledge, and then come back at the same point in the main quiz. This type of computer algebra assisted assignment allows the conversion of traditional paper and pencil math answers from analog form into digital form, so the assessments can be easily processed and graded as multiple-choice quizzes.
title Guided Learning and Assessments for Advanced Mathematical Methods for Engineering and Physics
topic Teaching Methods
Computer Assisted Instruction
Mathematics Education
Engineering Education
Physics
Problem Solving
Equations (Mathematics)
Computation
Mathematics Tests
Algebra
Computer Assisted Testing
Multiple Choice Tests
url https://eric.ed.gov/?id=EJ1480618