Computational Labs in Calculus: Examining the Effects on Conceptual Understanding and Attitude Toward Mathematics

This study examined the effects of computational labs in Business Calculus classes used at a single, private institution on student outcomes of conceptual understanding of calculus and attitudes towards mathematics. The first manuscript addresses the changes in conceptual understanding through multiple-method research design, a quantitative survey given pre and post study and qualitative student comments, found no significant gains in conceptual knowledge as measured by a concept inventory, however, student comments revealed valuable knowledge demonstrated through reflection on and articulation of how specific calculus concepts could be used in real world applications. The second manuscript presents results to the effects on attitudes toward mathematics, studied through multiple-method research design, using a quantitative survey given at two intervals, pre and post, and analysis of student comments, which showed that students that participated in the labs had a smaller decline in attitude, although not statistically significant, than students that did not complete the labs and the labs were most impactful on students that had previously taken calculus; student comments overwhelmingly demonstrate that students felt and appreciated that the labs allowed them to see how calculus could be applied outside the classroom. Overall students felt the labs were beneficial in the development of advantageous habits, taught some a skill they hope to further develop and study, and provided several recommendations for improvement in future implementation. Collectively, this research serves as a foundation for the effectiveness of computational tools employed in general education mathematics courses, which is not currently a widespread practice.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Curriculum and Instruction

Department dc:contributor.department

Education, Vocational-Technical

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2019

Author dc:creator

• Spencer-Tyree, Brielle Tinsley

Chair dc:contributor.committeechair

• Bowen, Bradley D.

Committee members dc:contributor.committeemember

• Clark, Aaron C.
• Ulrich, Catherine L.
• Williams, Thomas O.

• STEM Education
• Computational Labs
• Calculus
• Mathematics Education
• College and University Calculus
• Undergraduate Mathematics
• Integrative-STEM Education

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

vt_gsexam:22917

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/95835