From High School to College Calculus: Beliefs about Sense-Making and Mistakes

Despite longstanding efforts in the K-12 STEM education community to create meaningful mathematical experiences across disciplines, mathematics continues to be a siloed subject which is tracked based on ability. With an increasing number of high-achieving students enrolling in Algebra I in Grade 7 o...

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Veröffentlicht in:Journal for STEM education research. 2021-04, Vol.4 (1), p.73-94
Hauptverfasser: Galanti, Terrie M., Miller, Angela D.
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description Despite longstanding efforts in the K-12 STEM education community to create meaningful mathematical experiences across disciplines, mathematics continues to be a siloed subject which is tracked based on ability. With an increasing number of high-achieving students enrolling in Algebra I in Grade 7 or earlier, there is a need for research on the readiness of accelerated STEM-intending students to persist in mathematics at the college level. A mathematical mindset framework was employed to explore the relationships between level of Algebra I acceleration, student ( n  = 2111) and instructor ( n  = 141) beliefs about sense-making and mistake-making, and attitudes in first-semester college calculus. Findings from a series of multilevel analyses indicate that interactions between student mathematical mindset and perceived progressive teaching practices influence attitudes toward mathematics. While student-centered instruction had a slightly negative effect on attitude, there was a differential effect in relation to student beliefs about sense-making as a metric of success in mathematics. These findings contribute to empirical understandings of mathematical mindset and the complex transition from high school calculus to college calculus. Implications for interdisciplinary STEM education and persistence in STEM undergraduate study are discussed.
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subjects Academic readiness
Acceleration (Education)
Algebra
Attitudes
Calculus
College Readiness
College students
Core curriculum
Education
Engineering/Technology Education
Grade 10
Grade 11
Interdisciplinary aspects
Learning
Mathematics Education
Mathematics teachers
Outcomes of Education
Pedagogy
Problem solving
Research Article
School districts
Science Curriculum
Science Education
Secondary schools
Standardized Tests
STEM education
Student Attitudes
Success
Teaching
Teaching Methods
Undergraduate Study
title From High School to College Calculus: Beliefs about Sense-Making and Mistakes
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