Student Attitudes in an Innovative Active Learning Approach in Calculus

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Bibliographic Details
Title: Student Attitudes in an Innovative Active Learning Approach in Calculus
Language: English
Authors: Adam J. Castillo (ORCID 0000-0002-8970-9176), Pablo Durán (ORCID 0000-0001-5685-9699), Edgar Fuller (ORCID 0000-0003-4130-090X), Charity Watson (ORCID 0000-0003-0288-4180), Geoff Potvin (ORCID 0000-0002-8164-2309), Laird H. Kramer (ORCID 0000-0003-1035-8471)
Source: International Journal of Mathematical Education in Science and Technology. 2024 55(3):730-758.
Availability: Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Peer Reviewed: Y
Page Count: 29
Publication Date: 2024
Sponsoring Agency: National Science Foundation (NSF)
Contract Number: 1832450
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
Descriptors: Mathematics Instruction, Calculus, Active Learning, Student Attitudes, Program Effectiveness, College Students, Attitude Change, Psychological Patterns, Self Esteem, Gender Differences, Conventional Instruction, Student Characteristics, STEM Education, Cooperative Learning, Metacognition, Culturally Relevant Education
DOI: 10.1080/0020739X.2021.2023771
ISSN: 0020-739X
1464-5211
Abstract: A study conducted by the Mathematical Association of America showed that calculus not only has significant effects on students' decision to pursue STEM fields, but also on their attitudes towards mathematics. Inspired by this large-scale study, the present study sought to deepen the current understanding of the impact of calculus on student attitudes towards mathematics. Results of an implementation of the Modeling Practices in Calculus (MPC) model, an innovative active learning in mathematics (ALM) approach, in Calculus I at a large, urban, research intensive (R1) institution are presented. Using a randomized-control trial research design, students were randomly assigned to either traditional, lecture-based classrooms, or MPC classrooms. The Attitudes Towards Mathematics Inventory (ATMI) was used to measure student attitudes at the beginning and end of the course and results were compared from both MPC and traditional sections. Overall, MPC sections showed improvement over traditional instruction by having less negative impact on student attitudes. The enjoyment and self-confidence ATMI subscales showed significant differences at course completion for both semesters, when controlling for pre-ATMI score and term. Furthermore, the MPC model had a positive impact on female students' self-confidence as opposed to male students, acting as a gender equalizer.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1413909
Database: ERIC
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Abstract:A study conducted by the Mathematical Association of America showed that calculus not only has significant effects on students' decision to pursue STEM fields, but also on their attitudes towards mathematics. Inspired by this large-scale study, the present study sought to deepen the current understanding of the impact of calculus on student attitudes towards mathematics. Results of an implementation of the Modeling Practices in Calculus (MPC) model, an innovative active learning in mathematics (ALM) approach, in Calculus I at a large, urban, research intensive (R1) institution are presented. Using a randomized-control trial research design, students were randomly assigned to either traditional, lecture-based classrooms, or MPC classrooms. The Attitudes Towards Mathematics Inventory (ATMI) was used to measure student attitudes at the beginning and end of the course and results were compared from both MPC and traditional sections. Overall, MPC sections showed improvement over traditional instruction by having less negative impact on student attitudes. The enjoyment and self-confidence ATMI subscales showed significant differences at course completion for both semesters, when controlling for pre-ATMI score and term. Furthermore, the MPC model had a positive impact on female students' self-confidence as opposed to male students, acting as a gender equalizer.
ISSN:0020-739X
1464-5211
DOI:10.1080/0020739X.2021.2023771