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Direct linkJesús E. Hernández-Zavaleta; Corey Brady; Sandra Becker; Douglas B. Clark – Mathematical Thinking and Learning: An International Journal, 2025
Research on geometric transformations suggests that early learners possess intuitive understandings grounded in motion metaphors, transitioning to mappings. The processes through which students transition between these two conceptions are not fully understood. We propose that Vygotskian hybridizing (related to Vygotsky's articulation of everyday…
Descriptors: Geometric Concepts, Motion, Scientific Concepts, Programming
Download full textMuhamat Hidayatul Ridho; Endang Cahya Mulyaning A.; Jarnawi Afgani Dahlan – International Society for Technology, Education, and Science, 2023
Mathematical representation includes the process of transforming problems or ideas into new forms, including changing pictures or physical models into symbols, words, or sentences that can facilitate students in solving mathematical problems. Pythagorean Theorem material is widely used in analytic geometry, so this material becomes important for…
Descriptors: Foreign Countries, Junior High School Students, Geometric Concepts, Plane Geometry
Sani Sahara; Maarten Dolk; Agus Hendriyanto; Tri Atmojo Kusmayadi; Laila Fitriana – Journal on Mathematics Education, 2024
Learning Transformation Geometry (TG) needs a more informal approach to concern situational problems. This study aims to develop actionable knowledge of TG in the form of design related to context and yet general enough to use digital manipulative activities in new situations. We propose such knowledge in the form of conjectured Local…
Descriptors: Transformations (Mathematics), Mathematics Instruction, Geometric Concepts, Grade 11
Basu, Marina; Koellner, Karen; Jacobs, Jennifer K.; Seago, Nanette – Mathematics Teacher: Learning and Teaching PK-12, 2022
This article discusses a set of tasks that introduce dilations using nonstandard figures, incorporating snippets of classroom conversations as students try to make sense of the specified tasks, to show how they progress in their understanding. The authors provide a theoretical foundation for the tasks and discuss the pedagogical implications for…
Descriptors: Mathematics Instruction, Teaching Methods, Geometric Concepts, Problem Solving
Hollebrands, Karen; McCulloch, Allison W.; Okumus, Samet – Digital Experiences in Mathematics Education, 2021
Although geometric transformations are functions, few studies have examined students' reasoning about these two important concepts. The purpose of this study was to examine the various ways students reasoned about functions in the context of pre-constructed, dynamic sketches of geometric transformations. We found that, regardless of prior…
Descriptors: High School Students, Student Characteristics, Transformations (Mathematics), Geometric Concepts
Yuliardi, Ricki; Rosjanuardi, Rizky – Journal of Research and Advances in Mathematics Education, 2021
The relationship between spatial conceptions and students' spatial abilities is still rarely studied specifically, even though this is the basis for students to think in learning geometry. This paper aims to explore spatial abilities and the development of spatial ability theory, discusses the relationship between spatial conceptions in students'…
Descriptors: Spatial Ability, Transformations (Mathematics), Geometry, Geometric Concepts
