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Hong, Dae S.; Runnalls, Cristina – School Science and Mathematics, 2022
The purpose of this study was to explore how elementary preservice teachers (PSTs) responded to students' hypothetical misconceptions about volume measurement. We carried out both pre-assessments and follow-up interviews with 17 PSTs, with tasks focused on both volume content knowledge and hypothetical student responses to volume tasks.…
Descriptors: Elementary School Teachers, Preservice Teachers, Student Reaction, Preferences
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Mhlolo, Michael Kainose; Schafer, Marc – South African Journal of Education, 2013
This article reports on regularities observed in learners' preconceptions of reflective symmetry. Literature suggests that the very existence of such regularities indicates a gap between what learners know and what they need to know. Such a gap inhibits further understanding and application, and hence needed to be investigated. A total of 235…
Descriptors: High School Students, Grade 11, Geometry, Secondary School Mathematics
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Roth, Wolff-Michael – Curriculum Inquiry, 2013
In this article, I (1) argue for approaching processes, events-in-the-making, by means of process categories--to learn, to teach--not by means of categories that denote differences in state and (2) exemplify doing and writing research consistent with process philosophy. To understand process we must not think, research, and write them in terms of…
Descriptors: Curriculum, Educational Theories, Geometry, Elementary School Mathematics
Rakes, Christopher R. – ProQuest LLC, 2010
In this study, the author examined the relationship of probability misconceptions to algebra, geometry, and rational number misconceptions and investigated the potential of probability instruction as an intervention to address misconceptions in all 4 content areas. Through a review of literature, 5 fundamental concepts were identified that, if…
Descriptors: Control Groups, Fundamental Concepts, Intervention, Structural Equation Models
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National Center for Education Statistics, 2009
This report presents results of the 2009 National Assessment of Educational Progress (NAEP) in mathematics at grades 4 and 8. The results from the 2009 assessment presented in this report are compared to those from previous years, showing how students' performance in mathematics has progressed over time. Results for students in the nation, the 50…
Descriptors: Student Participation, Academic Achievement, Second Language Learning, National Competency Tests
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Kuchemann, Dietmar; Hoyles, Celia – International Journal of Science and Mathematics Education, 2006
We report some findings of the Longitudinal Proof Project, which investigated patterns in high-attaining students' mathematical reasoning in algebra and in geometry and development in their reasoning, by analyses of students' responses to three annual proof tests. The paper focuses on students' responses to one non-standard geometry item. It…
Descriptors: Geometry, Longitudinal Studies, Student Reaction, Interviews