An Exploration of Froebel’s Gift Number 14 leads to Monolinear, Re-entrant, Dichromic Mono-Polyomino Weavings
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Date
2011 , 2011
Authors
Knoll, Eva
Landry, Wendy
Journal Title
Journal ISSN
Volume Title
Publisher
Bridges Coimbra Conference Proceedings
Abstract
When Froebel, the inventor of the Kindergarten [1] designed the “Gifts” and “Occupations” given to the children,
he deliberately selected materials that provided a haptic dimension to their explorations. This physicality in the
interaction with the gifts can create a significant potential learning focus making full use of concepts of spatial
reasoning (front-back, over-under, etc.). For adults playing with the materials for the first time, and incorporating a
reflective component in their doing and their thinking, the Gifts can provide a novel perspective on other, deeper
mathematical concepts. The following paper and its accompanying workshop present some activities possible with
Gift # 14, which involves the Occupation of paper weaving, and explore ideas in modular arithmetic, combinatorial
geometry, ethnomathematics and more.
Description
Keywords
Ethnomathematics , Tessellations , Dichromic tessellation , Polyominos , Monohedral tesellation , Weaving , Mat weaving , Monolinearity , Kindergarten , Froebel's Gifts , Sona sand drawings , Counterchange symmetry
Citation
Knoll, E., Landry, W. (2011). An Exploration of Froebel’s Gift Number 14 leads to Monolinear, Re-entrant, Dichromic Mono-Polyomino Weavings. In Sarhangi, R., Séquin, C. (Eds.), Proceedings of Bridges Coimbra, pp. 641-648, 2011