An Exploration of Froebel’s Gift Number 14 leads to Monolinear, Re-entrant, Dichromic Mono-Polyomino Weavings

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dc.contributor.authorKnoll, Eva
dc.contributor.authorLandry, Wendy
dc.date.accessioned2013-02-07T14:19:07Z
dc.date.available2013-02-07T14:19:07Z
dc.date.issued2011
dc.date.issued2011
dc.description.abstractWhen 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.en_US
dc.identifier.citationKnoll, 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, 2011en_US
dc.identifier.isbn978-0-9846042-6-5
dc.identifier.issn1099-6702
dc.identifier.urihttps://hdl.handle.net/10587/1196
dc.language.isoenen_US
dc.publisherBridges Coimbra Conference Proceedingsen_US
dc.subjectEthnomathematicsen_US
dc.subjectTessellationsen_US
dc.subjectDichromic tessellationen_US
dc.subjectPolyominosen_US
dc.subjectMonohedral tesellationen_US
dc.subjectWeavingen_US
dc.subjectMat weavingen_US
dc.subjectMonolinearityen_US
dc.subjectKindergartenen_US
dc.subjectFroebel's Giftsen_US
dc.subjectSona sand drawingsen_US
dc.subjectCounterchange symmetryen_US
dc.titleAn Exploration of Froebel’s Gift Number 14 leads to Monolinear, Re-entrant, Dichromic Mono-Polyomino Weavingsen_US
dc.typeConference paperen_US
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