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How Affordances And Constraints Of Physical And Virtual Manipulatives Support The Development Of Procedural Fluency And Algorithmic Thinking In Mathematics, Jennifer Such, Patricia S. Moyer-Packenham
How Affordances And Constraints Of Physical And Virtual Manipulatives Support The Development Of Procedural Fluency And Algorithmic Thinking In Mathematics, Jennifer Such, Patricia S. Moyer-Packenham
Teacher Education and Leadership Faculty Publications
The purpose of this study was to examine how the affordances and constraints of physical and virtual manipulatives influence the development of students’ algorithmic thinking when learning algebra and rational number concepts. Thirty-six third-grade students participated in two weeks of instruction using physical and virtual manipulatives as instructional tools. The primary design of the study was a teaching experiment in which quantitative and qualitative data were collected to provide a holistic examination. Pre- and post-test items were used in the quantitative analysis following a within-subjects crossover repeated measures design. Students’ written work, a user survey, student interviews, field notes, and …
Learning Mathematics With Technology: The Influence Of Virtual Manipulatives On Different Achievement Groups, Patricia S. Moyer-Packenham, J. M. Suh
Learning Mathematics With Technology: The Influence Of Virtual Manipulatives On Different Achievement Groups, Patricia S. Moyer-Packenham, J. M. Suh
Teacher Education and Leadership Faculty Publications
This study examined the influence of virtual manipulatives on different achievement groups during a teaching experiment in four fifth-grade classrooms. During a two-week unit focusing on two rational number concepts (fraction equivalence and fraction addition with unlike denominators) one low achieving, two average achieving, and one high achieving group participated in two instructional treatments (three groups used virtual manipulatives and one group used physical manipulatives). Data sources included pre- and post-tests of students’ mathematical content knowledge and videotapes of classroom sessions. Results of paired samples t-tests examining the three groups using virtual manipulatives indicated a statistically significant overall gain following …
Are We Having Fun Yet? How Teachers Use Manipulatives To Teach Mathematics, Patricia S. Moyer-Packenham
Are We Having Fun Yet? How Teachers Use Manipulatives To Teach Mathematics, Patricia S. Moyer-Packenham
Teacher Education and Leadership Faculty Publications
Teachers often comment that using manipulatives to teach mathematics is ‘fun!’ Embedded in the word ‘fun’ are important notions about how and why teachers use manipulatives in the teaching of mathematics. Over the course of one academic year, this study examined 10 middle grades teachers’ uses of manipulatives for teaching mathematics using interviews and observations to explore how and why the teachers used the manipulatives as they did. An examination of the participants’ statements and behaviors indicated that using manipulatives was little more than a diversion in classrooms where teachers were not able to represent mathematics concepts themselves. The teachers …