de Freitas, Elizabeth (2017) Digital Mazes and Spatial Reasoning: Using Colour and Movement to Explore the 4th Dimension. In: Innovation and technology enhancement in mathematics education. Mathematics Education in the Digital Era . Springer Verlag, pp. 237-257. ISBN 978-3-319-61488-5 Downloaded from: https://e-space.mmu.ac.uk/621687/ Publisher: Springer Verlag DOI: https://doi.org/10.1007/978-3-319-61488-5 Please cite the published version https://e-space.mmu.ac.uk De Freitas, E. (2017). The new materialism of Charles Hinton: Spatial reasoning in 4D digital mazes. In Faggiano, E., Ferrera, F. & Montone, A. (Eds)..Innovation and technology Enhancing mathematics education. Springer Verlag. The new materialism of Charles Hinton: Spatial reasoning in 4D digital mazes De Freitas, E. (2017). The new materialism of Charles Hinton: Spatial reasoning in 4D digital mazes. In Faggiano, E., Ferrera, F. & Montone, A. (Eds)..Innovation and technology Enhancing mathematics education. Springer Verlag. Elizabeth de Freitas
[email protected] Education and Social Research Institute Manchester Metropolitan University Abstract This chapter focuses on innovative developments of four-dimensional digital mazes, examining how these mazes tap into the ideas of mathematician and fiction writer Charles Hinton (1853-1907) who wrote extensively on perception of a 4th geometric dimension. Hinton treats mathematical objects as physical and material movements, and draws on non-Euclidean geometry to argue for a virtual dimension to matter. I discuss recent attempts to build digital mazes that develop spatial sense in four dimensions, and show how these are directly linked to Hinton’s ideas. I focus on how colour and movement in digital environments are used to develop a distinctive kind of spatial sense.