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Wiles, Peter; Lemon, Travis; King, Alessandra – Mathematics Teaching in the Middle School, 2019
Middle school students are faced with a number of mathematical concepts that require new forms of reasoning. Although the shifts toward proportional and algebraic reasoning are often emphasized in middle school curricula, changes in the nature of geometric reasoning are not always given the same weight. As highlighted in "Catalyzing Change in…
Descriptors: Middle School Students, Middle School Mathematics, Mathematics Instruction, Geometry
Aydin-Güç, Funda; Hacisalihoglu-Karadeniz, Mihriban – Acta Didactica Napocensia, 2020
The purpose of this study was to investigate the tessellation performance of 8th-grade students and factors affecting their performance. Student performances have been examined in two dimensions: identification and completion of tessellation. In this context, a diagnostic test containing two main questions with the content of determining whether…
Descriptors: Geometric Concepts, Pattern Recognition, Mathematics Skills, Mathematics Achievement
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
Leonard, Alison E.; Bannister, Nicole A. – Mathematics Teaching in the Middle School, 2018
Research suggests that embodying mathematical concepts through movement supports improvements in students' spatial fluency, communication, collaboration, critical thinking, and problem-solving skills (Alibali and Nathan 2012; Cone and Cone 2011; Sarama and Clements 2009). This article describes a dance-based strategy that middle school mathematics…
Descriptors: Transformations (Mathematics), Middle School Teachers, Mathematics Teachers, Dance
Barcelos Amaral, Rúbia; Hollebrands, Karen – International Journal of Mathematical Education in Science and Technology, 2017
Three textbooks from Brazil and three textbooks from the United States were analysed with a focus on similarity and context-based tasks. Students' opportunities to learn similarity were examined by considering whether students were provided context-based tasks of high cognitive demand and whether those tasks included missing or superfluous…
Descriptors: Textbooks, Foreign Countries, Geometric Concepts, Geometry
Kordaki, Maria – Technology, Pedagogy and Education, 2015
This study focuses on the role of multiple solution tasks (MST) incorporating multiple learning tools and representation systems (MTRS) in encouraging each student to develop multiple perspectives on the learning concepts under study and creativity of thought. Specifically, two types of MST were used, namely tasks that allowed and demanded…
Descriptors: Task Analysis, Mathematical Models, Mathematics Activities, Problem Solving
Zorin, Barbara – ProQuest LLC, 2011
This study analyzed treatment of geometric transformations in presently available middle grades (6, 7, 8) student mathematics textbooks. Fourteen textbooks from four widely used textbook series were evaluated: two mainline publisher series, Pearson (Prentice Hall) and Glencoe (Math Connects); one National Science Foundation (NSF) funded curriculum…
Descriptors: Textbooks, Transformations (Mathematics), Geometric Concepts, Middle Schools
Portnoy, Neil; Grundmeier, Todd A.; Graham, Karen J. – Journal of Mathematical Behavior, 2006
This research explored students' views of geometric objects through the implementation of a curriculum module that allowed them to explore the relationships between transformational geometry and linear algebra. The majority of the students were middle and secondary mathematics education majors enrolled in a one-semester geometry course that is…
Descriptors: Education Majors, Mathematics Education, Transformations (Mathematics), Geometric Concepts
Glass, Brad – Mathematics Teaching in the Middle School, 2004
This article describes a technology-based approach for dealing with a misconception that some students hold concerning the equivalency of geometric transformations. Students can begin to conceptualize transformations in terms of the relationship between preimage and image figures rather than focus on the motion of a figure. (Contains 7 figures.)
Descriptors: Geometric Concepts, Transformations (Mathematics), Educational Technology, Misconceptions