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Charles Hohensee; Matthew Melville; Crystal Collier; Yue Ma – Journal for Research in Mathematics Education, 2025
This study examined "backward transfer," which we define as how students' ways of reasoning about previously encountered concepts are modified when learning about new concepts. We examined the backward transfer produced when students learned about quadratic functions. We were specifically interested in how backward transfer may vary for…
Descriptors: Mathematical Concepts, Mathematics Instruction, Prior Learning, Problem Solving
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Brady, Corey E.; Borromeo Ferri, Rita; Lesh, Richard A. – Investigations in Mathematics Learning, 2022
Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Case Studies
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Dhlamini, Zwelithini Bongani; Chuene, Kabelo; Masha, Kwena; Kibirige, Israel – EURASIA Journal of Mathematics, Science and Technology Education, 2019
The purpose of this study was to explore geometry spatial mathematical reasoning in Grade nine Annual National Assessments, South Africa. Conceptual Blending was the guiding theory. Document analysis within the exploratory case study was used to explore available data, the 2014 Annual National Assessment learners' scripts (n=1250). Results…
Descriptors: Grade 9, Spatial Ability, Geometric Concepts, Mathematical Logic
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Czocher, Jennifer A.; Moss, Diana L. – Mathematics Teacher, 2017
Why are math modeling problems the source of such frustration for students and teachers? The conceptual understanding that students have when engaging with a math modeling problem varies greatly. They need opportunities to make their own assumptions and design the mathematics to fit these assumptions (CCSSI 2010). Making these assumptions is part…
Descriptors: Mathematical Models, Problem Solving, Mathematics Instruction, High School Students
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Yildiz, Avni – Malaysian Online Journal of Educational Technology, 2016
Geometric constructions have already been of interest to mathematicians. However, studies on geometric construction are not adequate in the relevant literature. Moreover, these studies generally focus on how secondary school gifted students solve non-routine mathematical problems. The present study aims to examine the geometric construction…
Descriptors: Foreign Countries, Academically Gifted, Geometry, Problem Solving
Westbrook, Amy Franks – ProQuest LLC, 2014
This study addresses the problem of mathematics teachers' resistance to problem-solving models that align with constructivist perspectives because they feel pressure to utilize more teaching approaches that focus on preparing students for high-stakes tests. The purpose of this qualitative study was to explain how ninth grade mathematics students…
Descriptors: Mathematics Teachers, Mathematics Instruction, Resistance (Psychology), Problem Solving
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Lee, Chun-Yi; Chen, Ming-Puu. – Computers & Education, 2009
The purpose of this study was to investigate the effects of type of question prompt and level of prior knowledge on non-routine mathematical problem solving. A computer game was blended within the pattern reasoning tasks, along with question prompts, in order to demonstrate and enhance the connections between viable problem-solving strategies and…
Descriptors: Prior Learning, Problem Solving, Grade 9, Computers
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Chasseigne, Gerard; Giraudeau, Caroline; Lafon, Peggy; Mullet, Etienne – European Journal of Psychology of Education, 2011
The study examined the knowledge of the functional relations between potential difference, magnitude of current, and resistance among seventh graders, ninth graders, 11th graders (in technical schools), and college students. It also tested the efficiency of a learning device named "functional learning" derived from cognitive psychology on the…
Descriptors: Physics, Grade 9, Cognitive Psychology, Grade 7
Throne, Kurt Christopher – ProQuest LLC, 2012
The purpose of this study was to discover what teaching strategies were utilized by Special Day Class (SDC) teachers to prepare their 9-12 grade students to pass a course in Algebra 1 and the mathematics section of the California High School Exit Exam (CAHSEE). This study used a mixed methodology involving a quantitative survey and qualitative…
Descriptors: Graduation Requirements, Exit Examinations, High School Students, Grade 9
Cope, Liza M. – ProQuest LLC, 2013
This study examined the impact of teachers' characteristics and self-reported practices on students' Algebra achievement while controlling for students' characteristics. This study is based on the secondary analysis of data collected from a nationally representative sample of 9 th grade students and their mathematics teachers during…
Descriptors: Teacher Characteristics, Educational Practices, Measurement Techniques, Algebra