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Direct linkBurns-Childers, Annie; Vidakovic, Draga – International Journal of Mathematical Education in Science and Technology, 2018
The purpose of this study was to gain insight into 30, first year calculus students' understanding of the relationship between the concept of vertex of a quadratic function and the concept of the derivative. APOS (action-process-object-schema) theory was applied as a guiding framework of analysis on student written work, think-aloud and follow up…
Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Protocol Analysis
Belenky, Daniel M.; Nokes, Timothy J. – Journal of Problem Solving, 2009
How does the type of learning material impact what is learned? The current research investigates the nature of students' learning of math concepts when using manipulatives (Uttal, Scudder, & DeLoache, 1997). We examined how the type of manipulative (concrete, abstract, none) and problem-solving prompt (metacognitive or problem-focused) affect…
Descriptors: Instructional Materials, Manipulative Materials, Mathematical Concepts, Metacognition
