Teaching spatial geometry in a virtual world: Using minecraft in mathematics in grade 5/6

Spatial geometry is one of the fundamental mathematical building blocks of any engineering education. However, it is overshadowed by planar geometry in the curriculum between playful early primary education and later analytical geometry, leaving a multi-year gap where spatial geometry is absent at large. Hence, we investigate the usage of Minecraft as tool to help bridge said gap, as the virtual worlds of Minecraft allow children to create three-dimensional objects in a constructive and algorithmic way. We study two learning scenarios in grade 5/6 with 103 students, reporting on our & the childrens' experiences. Based on our findings, we believe Minecraft to be a valuable mathematical tool that can be easily used to augment the current curriculum.

[1]  Roger Wattenhofer,et al.  A Concept for an Introduction to Parallelization in Java: Multithreading with Programmable Robots in Minecraft , 2016, SIGITE.

[2]  Hans-Georg Weigand,et al.  Computer im Mathematikunterricht : neue Wege zu alten Zielen , 2002 .

[3]  A. Bishop Mathematical Enculturation: A Cultural Perspective on Mathematics Education , 1988 .

[4]  Dieter Schmalstieg,et al.  Construct3D: A Virtual Reality Application for Mathematics and Geometry Education , 2000, Education and Information Technologies.

[5]  Klaus-Tycho Foerster Integrating Programming into the Mathematics Curriculum: Combining Scratch and Geometry in Grades 6 and 7 , 2016, SIGITE.

[6]  Paul N. Wilson Use of Virtual Reality Computing in Spatial Learning Research , 2013 .

[7]  Steve Nebel,et al.  Mining Learning and Crafting Scientific Experiments: A Literature Review on the Use of Minecraft in Education and Research , 2016, J. Educ. Technol. Soc..

[8]  Karl F. MacDorman,et al.  The Uncanny Valley [From the Field] , 2012, IEEE Robotics Autom. Mag..

[9]  Marianne Franke,et al.  Didaktik der Geometrie in der Grundschule , 2016 .

[10]  S. Sharpless,et al.  The Scale of the Universe , 1953 .

[11]  Midori Kitagawa,et al.  Geometry Explorer: Facilitating Geometry Education with Virtual Reality , 2016, HCI.

[12]  Stefan Rank,et al.  Studying the Impact of Spatial Involvement on Training Mental Rotation with Minecraft , 2016, CHI Extended Abstracts.

[13]  D. B. Short Teaching Scientific Concepts Using a Virtual World--Minecraft , 2012 .

[14]  Marianne Franke,et al.  Didaktik der Geometrie , 2016 .

[15]  Eyal Ofek,et al.  Haptic Retargeting: Dynamic Repurposing of Passive Haptics for Enhanced Virtual Reality Experiences , 2016, CHI.

[16]  Nigel Foreman,et al.  Handbook Of Spatial Research Paradigms And Methodologies , 2013 .

[17]  Morten Misfeldt,et al.  An ethnomathematical study of play in Minecraft , 2015 .

[18]  H. D. Curtis,et al.  The Scale of the Universe , 2015 .

[19]  Hironori Washizaki,et al.  Influence of the Programming Environment on Programming Education , 2016, ITiCSE.

[20]  Emiko Charbonneau,et al.  Exploring Minecraft as a conduit for increasing interest in programming , 2013, FDG.

[21]  Klaus-Tycho Förster Raumgeometrie mit Minecraft , 2012 .

[22]  B. Bos,et al.  Learning mathematics through Minecraft , 2014 .

[23]  Alena Kovarova,et al.  Using virtual reality for teaching solid geometry: A case study for a cube section , 2011, 2011 14th International Conference on Interactive Collaborative Learning.

[24]  Alexei Sourin,et al.  Visual immersive mathematics in 3D web , 2011, VRCAI.