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Margaret Walton; Janet Walkoe – Mathematics Teacher: Learning and Teaching PK-12, 2025
Seeds of Algebraic Thinking comes from the Knowledge in Pieces (KiP) perspective of learning. KiP is a systems approach to learning that stems from the constructivist idea that people learn by building on prior knowledge. As people experience the world, they acquire small, sub-conceptual knowledge elements. When people engage in a particular…
Descriptors: Mathematics Instruction, Prior Learning, Knowledge Level, Algebra
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Charity N. Watson; Pablo Duran; Adam Castillo; Edgar Fuller; Geoff Potvin; Laird Kramer – International Journal of Mathematical Education in Science and Technology, 2025
College calculus plays an important role in STEM students' degree and career aspirations. One of the key factors considered in assessing a student's ability to be successful in calculus is their proficiency in topics from prior mathematics courses such as algebra and precalculus. This study set out to examine the impact of students' precalculus…
Descriptors: Active Learning, Calculus, Mathematics Instruction, Teaching Methods
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Patrick B. Johnson; Corinna Singleman; Jennifer Valad; Eva Fernandez; Nathalia Holtzman – College Teaching, 2025
This study examined the extent to which college algebra instructors employ pedagogical practices previously found to assist students master difficult STEM content material and address their own previous math deficits. Faculty classroom behaviors were assessed with a modified version of the Generalized Observation and Reflection Platform (GORP).…
Descriptors: College Mathematics, Mathematics Teachers, Mathematics Instruction, College Faculty