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Hamilton L. Hardison – Mathematics Teacher: Learning and Teaching PK-12, 2024
A one-degree angle would certainly be difficult to draw accurately, especially without the aid of other tools like a protractor. However, mentally making a one-degree angle in visualized imagination is not only possible, but it is important for students' emergent understandings of angular measure. When students begin learning about length,…
Descriptors: Teaching Methods, Visualization, Mathematics Instruction, Elementary Secondary Education
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Mahmood, Munir; Vale, Colleen – Australian Mathematics Education Journal, 2020
The visual method in this paper solves linear inequalities in one variable by considering them initially as two competing linear expressions, each of which is then expressed as a linear equation. When the solution of these two linear equations exist, it is viewed as a highlighted area or a line. These linear equations convey the intended visual…
Descriptors: Problem Solving, Mathematics Instruction, Teaching Methods, Cognitive Ability
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Muzaini, Muhammad; Rahayuningsih, Sri; Ikram, Muhammad; Nasiruddin, Fathimah Az-Zahrah – International Journal of Educational Methodology, 2023
The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students' mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric…
Descriptors: Geometry, Mathematics Instruction, Problem Solving, Creativity
Seah, Rebecca; Horne, Marj – Mathematics Education Research Group of Australasia, 2022
Building from the evidence-based learning progression in geometric reasoning from the RMFII project, this paper presents data from students' solutions to three problems in geometry and measurement situations to identify key components needed to nurture reasoning. To show emerging analytical reasoning students must coordinate multiple pieces of…
Descriptors: Cognitive Ability, Mathematics Skills, Geometry, Thinking Skills
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Amevor, G.; Bayaga, Anass; Bossé, Michael J. – Contemporary Educational Technology, 2021
Dynamic visual tools such as MATLAB have inbuilt features which are believed to be able to empower students to learn through the visualisation of three-dimensional objects. While student learning through MATLAB has been investigated regarding students in urban settings, only a handful of studies have investigated how MATLAB can assist students in…
Descriptors: Educational Technology, Technology Uses in Education, Visual Aids, Spatial Ability
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Mix, Kelly S.; Levine, Susan C.; Cheng, Yi-Ling; Young, Christopher J.; Hambrick, David Z.; Konstantopoulos, Spyros – Journal of Cognition and Development, 2017
In a previous study, Mix et al. (2016) reported that spatial skill and mathematics were composed of 2 highly correlated, domain-specific factors, with a few cross-domain loadings. The overall structure was consistent across grade (kindergarten, 3rd grade, 6th grade), but the cross-domain loadings varied with age. The present study sought to…
Descriptors: Spatial Ability, Mathematics Instruction, Kindergarten, Grade 3
Mix, Kelly S.; Levine, Susan C.; Cheng, Yi-Lang; Young, Christopher J.; Hambrick, David Z.; Konstantopoulos, Spyros – Grantee Submission, 2017
In a previous study, Mix et al. (2016) reported that spatial skill and mathematics were composed of 2 highly correlated, domain-specific factors, with a few cross-domain loadings. The overall structure was consistent across grade (kindergarten, 3rd grade, 6th grade), but the cross-domain loadings varied with age. The present study sought to…
Descriptors: Spatial Ability, Mathematics Instruction, Kindergarten, Grade 3
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Bruce, Catherine D.; Hawes, Zachary – ZDM: The International Journal on Mathematics Education, 2015
The ability to mentally rotate objects in space has been singled out by cognitive scientists as a central metric of spatial reasoning (see Jansen, Schmelter, Quaiser-Pohl, Neuburger, & Heil, 2013; Shepard & Metzler, 1971 for example). However, this is a particularly undeveloped area of current mathematics curricula, especially in North…
Descriptors: Spatial Ability, Visualization, Cognitive Processes, Foreign Countries
McLean, Tamika Ann – ProQuest LLC, 2017
The current study investigated college students' content knowledge and cognitive abilities as factors associated with their algebra performance, and examined how combinations of content knowledge and cognitive abilities related to their algebra performance. Specifically, the investigation examined the content knowledge factors of computational…
Descriptors: College Students, Knowledge Level, College Mathematics, Mathematics Skills
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Sampson, Demetrios G., Ed.; Spector, J. Michael, Ed.; Ifenthaler, Dirk, Ed.; Isaías, Pedro, Ed. – International Association for Development of the Information Society, 2017
These proceedings contain the papers of the 14th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2017), 18-20 October 2017, which has been organized by the International Association for Development of the Information Society (IADIS) and endorsed by the Japanese Society for Information and Systems in…
Descriptors: Conference Papers, Student Journals, Diaries, Self Management
Melancon, Jan G. – Math Notebook, 1985
Discusses the development of visual thinking in students. Also presents a strategy that incorporates visualization exercises within the framework of traditional mathematics. The technique appears successful for students studying geometry, fractions, and problem solving. Visualization abilities increase understanding and therefore give students…
Descriptors: Cognitive Ability, Cognitive Development, Geometry, High Schools
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Smith, Glenn Gordon; Middleton, James A. – Australian Educational Computing, 2003
This study compared interaction with a computer vs. observation as learning situations for low and high ability student's learning of spatial visualization and geometric transformations. Thirty-two fifth grade boys took the Differential Aptitude Test, Space Relations Subset (DAT), and then participated in the experiment. Pre-test and post-test…
Descriptors: Protocol Analysis, Low Achievement, Observational Learning, Aptitude Tests