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Radmehr, Farzad; Drake, Michael – Education Sciences, 2020
Previous studies of integral calculus have mainly explored students' conceptual and procedural knowledge; only a few have focused on students' metacognition in relation to integral calculus. The study reported here explored students' metacognitive knowledge of integral calculus by interviewing nine first-year university and eight Year 13 students.…
Descriptors: Calculus, Mathematics Instruction, Metacognition, College Freshmen
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Radmehr, Farzad; Drake, Michael – Teaching Mathematics and Its Applications, 2019
Previous studies have explored students' understanding of the relationship between definite integrals and areas under curves, but not their metacognitive experiences and skills while solving such problems. This paper explores students' mathematical performance, metacognitive experiences and metacognitive skills when solving integral-area tasks by…
Descriptors: Metacognition, Mathematical Concepts, Problem Solving, Student Experience
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Radmehr, Farzad; Drake, Michael – International Journal of Mathematical Education in Science and Technology, 2019
This paper compares Revised Bloom's Taxonomy (RBT) and some of the major theories and frameworks that influence the teaching, learning, and assessment of mathematics. This comparison has been made to help students and researchers make decisions about which of the available theories and frameworks might best suit their study. The comparison…
Descriptors: Taxonomy, Educational Theories, Learning Theories, Mathematics Education
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Radmehr, Farzad; Drake, Michael – International Journal of Mathematical Education in Science and Technology, 2017
In this paper, the knowledge dimension for Revised Bloom's taxonomy (RBT) is unpacked for integral calculus. As part of this work, the 11 subtypes of the knowledge dimension are introduced, and through document analysis of chapter 4 of the RBT handbook, these subtypes are defined. Then, by consulting materials frequently used for teaching integral…
Descriptors: Calculus, Mathematics Instruction, Metacognition, Teaching Methods