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Fostering Spatial Visualization Through Augmented Reality in Calculus Learning

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2015 ASEE Annual Conference & Exposition


Seattle, Washington

Publication Date

June 14, 2015

Start Date

June 14, 2015

End Date

June 17, 2015





Conference Session

Mathematics Division Technical Session 2

Tagged Division


Page Count


Page Numbers

26.792.1 - 26.792.12



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Paper Authors


Patricia Salinas Tecnologico de Monterrey (ITESM)

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Full time Professor at Mathematics Department in Campus Monterrey, Tecnológico de Monterrey.
Educational researcher with interest in the integration of technology for the learning of Mathematics.
With a Bachelors Degree in Mathematics and 2 Masters Degrees, in Education with Mathematics Specialization. PhD in Mathematics Education since 2011. Member of the National System of Researchers SNI 1, CONACYT, México.
Co-author of several textbooks for the teaching and learning of Calculus.

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Eliud Quintero Tecnologico de Monterrey (ITESM)

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PhD in Innovative Education by the Monterrey Institute of Technology and Higher Education (ITESM). Degree in Mathematics by UANL, in Monterrey, Mexico. Interested in research areas such as educational technology for the learning of mathematics, teaching - learning of calculus, visualization, analysis of multimodal production of signs.

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Pablo Guillermo Ramirez Tecnologico de Monterrey (ITESM)

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Professor of Electrical Engineering department, Engineering School at Tecnologico de Monterrey, Monterrey Campus.
His research and development areas are: Virtual and Augmented Reality, Physical Interfaces and Electronic Systems, Human Computer Interaction, Information Systems and Knowledge Management.

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Eduardo González Mendívil Tecnologico de Monterrey (ITESM)

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Eduardo González Mendívil Ph.D.
Director Asociado de la Escuela de Ingeniería y Tecnologías de Información.
Área de Manufactura Avanzada y Optimización de Procesos
Escuela de Ingeniería y Tecnologías de Información
Instituto Tecnológico y de Estudios Superiores de Monterrey
Campus Monterrey
Avenida Eugenio Garza Sada 2501 Sur, C.P. 64849
Monterrey, Nuevo León, México.
Tel: +52 (81) 8358-1400 Ext. 5096

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Fostering Spatial Visualization through Augmented Reality in Calculus learningTechnology changes the way we learn, and students in this millennium are already prepared tolive learning experiences through visual and gestural interaction bringing the perception of acloser and more familiar knowledge. Learning mathematics could be improved if we takeadvantage of emergent technologies bringing the opportunity to transform the way mathematicsis perceived.As an educational innovation team, our aim is to transform teaching and learning of Calculusthrough the integration of emergent technologies to foster a visual and tangible mathematics. Asan educational research team we care for developing mathematical cognitive skills that havebeen taken for granted and have not been explicitly included in the curriculum. Most of them arebasic for the understanding of mathematics and are useful in problem solving processes. Spatialvisualization, for example, has been assumed as an innate skill in students, however experiencewith the teaching of solids of revolution, for instance, may question if this is the case.We identified spatial visualization as a cross-curriculum content and took on the task ofdesigning an educational technological resource improving its development. Augmented Realityhas been our technology of choice to research and design in order to evaluate its advantagesdealing with Calculus.The purpose of this work is to present the AR Application we have developed in order topromote spatial visualization. Elements of its design as a didactic resource will be discussed inorder to situate its use in ordinary Calculus I, II and III courses at college. The experience usingthe application in 2014 let us know the acceptance that students show for this kind ofapplications for education. We want to share both aspects, design and use; and bring up thecurrent issue of working closely as teachers and as designers looking for better learningexperiences for the current and new generations.  

Salinas, P., & Quintero, E., & Ramirez, P. G., & Mendívil, E. G. (2015, June), Fostering Spatial Visualization Through Augmented Reality in Calculus Learning Paper presented at 2015 ASEE Annual Conference & Exposition, Seattle, Washington. 10.18260/p.24129

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