Fostering spatial abilities of middle school students through augmented reality: Spatial strategies

2021-09-01
Ozcakir, Bilal
Çakıroğlu, Erdinç
In school mathematics, representations of solid figures and three-dimensional geometric objects generally rely on two-dimensional projective representation modes on students' textbooks. In learning environments, these representation modes create a kind of cognitive filter, which prevents students with low spatial ability to comprehend and envision three-dimensional objects. Studies showed that spatial ability could be improved by means of suitable concrete models and computer created models in learning settings. Thus, fostering students' spatial ability helps to overcome and eliminate negative effects of this cognitive filter. However, some studies suggest that this cognitive filter may even occur while working with computer created objects since computers generally rely on two-dimensional digitizer panels on screen technology. On the other hand, augmented reality interface allows a new way of learning environment which could help to overcome this cognitive filter by providing unique representation modes and opportunities to foster students' spatial ability. In this study, an intervention with an augmented reality interface to foster students' spatial understandings were reported in terms students' invented strategies for spatial concepts. In this sense, eight seventh graders worked on spatial tasks with an augmented reality interface in learning settings. Findings revealed that while proceeding on spatial tasks, students could invent, use and modify spatial strategies. Moreover, students' spatial understanding was fostered as they progressed on tasks with the designed augmented reality interface. This study is a part of an educational design research which was focused on design and development a proper augmented reality tool to foster spatial ability of students. As a result of this study, with the help of combination of augmented reality interface and spatial tasks, teachers will be provided with a new tool to visualize mathematical concepts and students could be supported with this new tool as a new learning material.
EDUCATION AND INFORMATION TECHNOLOGIES

Suggestions

Nested local symmetry set
Tarı, Zehra Sibel (Elsevier BV, 2000-08-01)
A local-symmetry-based representation for shapes in arbitrary dimensions and a method for its computation are presented. The method depends on analyzing the Hessian of a specific boundaryness function, v, which is computed as the minimizer of an energy functional. The method is basically a generalized ridge finding scheme in which the ridges are defined in terms of the orbit of the gradient vector del v under the action of the Hessian of v. Once the ridges are determined, the local extrema of the magnitude ...
Facilitating a Sustainable Transformation of Sociomathematical Norms Through Mathematical Modeling Activities
Yenmez, Arzu Aydogan; Erbaş, Ayhan Kürşat (2022-04-01)
We investigated and compared sociomathematical norms in secondary mathematics teachers' classrooms before and after using mathematical modeling activities. Participants were four secondary mathematics teachers. The data included 104 h of videotaped classroom observations and teacher interviews. The data analysis revealed notable changes in sociomathematical norms in teachers' lectures not utilizing modeling activities beyond those utilizing modeling activities. The results implied that teachers and students...
Prospective teachers personal and instructional definitions for quadrilateralsas a lens of their mathematical and didactical considerations
Ulusoy, Fadime; Çakıroğlu, Erdinç (null; 2016-07-31)
The present study, as a small part of a larger project, is an attempt to examine prospective middle school mathematics teachers' personal and instructional definitions of quadrilaterals with mathematical and didactical considerations. Data were obtained from eight prospective teachers via individualized open-ended prompting clinical interviews. Data analyses were executed using thematic coding by synthesizing past and current theories about learning and teaching of geometry. Results indicated that prospecti...
NONCOMMUTATIVE HOLOMORPHIC FUNCTIONAL CALCULUS, AFFINE AND PROJECTIVE SPACES FROM NC-COMPLETE ALGEBRAS
Dosi, A. (American Mathematical Society (AMS), 2020-01-01)
The paper is devoted to a noncommutative holomorphic functional calculus and its application to noncommutative algebraic geometry. A description is given for the noncommutative (infinite-dimensional) affine spaces A(q)(x), 1 = 0, are calculated.
Studies on non-weakly regular bent functions and related structures
Pelen, Rumi Melih; Özbudak, Ferruh; Department of Mathematics (2020)
Interest in bent functions over finite fields arises both from mathematical theory and practical applications. There has been lots of literature addressing various properties of bent functions. They have a number of applications consisting of coding theory, cryptography, and sequence designs. They’re divided into four subclasses: regular bent functions that are contained within the class of weakly regular bent functions that are contained within the class of dual-bent functions. Additionally, there are non-...
Citation Formats
B. Ozcakir and E. Çakıroğlu, “Fostering spatial abilities of middle school students through augmented reality: Spatial strategies,” EDUCATION AND INFORMATION TECHNOLOGIES, pp. 0–0, 2021, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92809.