An Exploration of Froebel’s Gift Number 14 leads to Monolinear, Re-entrant, Dichromic Mono-Polyomino Weavings
2011 , 2011
Bridges Coimbra Conference Proceedings
When Froebel, the inventor of the Kindergarten  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.
Ethnomathematics , Tessellations , Dichromic tessellation , Polyominos , Monohedral tesellation , Weaving , Mat weaving , Monolinearity , Kindergarten , Froebel's Gifts , Sona sand drawings , Counterchange symmetry
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