By Krzysztof Kowalski, Willi-Hans Steeb
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Additional info for Nonlinear Dynamical Systems and Carleman Linearization
In fact, all quadrilaterals tessellate (a claim I will come back to in the final chapter), but the children were unwilling to make such a statement for some time. Similarly, all triangles tessellate, but again it took a while before they were convinced of this. Tessellations 29 The children’s understanding of the ‘rules’ of tessellations started with the knowledge that squares would tessellate. This was clear from the beginning, and I am sure that they were aware of this even before working with the ceramic tiles.
The children were fascinated by a tessellation of dogs, because they could see how a simple square was transformed into a dog, which could then be tessellated over the page. Another feature of the book is that a series of dot-grid pages is provided, all of which can be photocopied so that people can make their own tessellating patterns on paper. Having spent a considerable amount of time manipulating objects and searching for tessellations inside and outside the classroom, I was sure that giving the children a couple of different kinds of dot-grids would yield some interesting results.
I loved doing tessellations…it was very fun and it is nice cous [’cause] your [you’re] doing Maths and having fun while your doing it. My mom only got to see one the other one is the silk one and it’s for Christmas. ’ I think it safe to say that this project was real for me, for Eileen, and for Bill as well. Before I steal all the thunder, I had better pass the pen. EILEEN From the moment Rena entered the room I knew I had made the right decision for my group. Her big blue bin of tiles was an instant hit.
Nonlinear Dynamical Systems and Carleman Linearization by Krzysztof Kowalski, Willi-Hans Steeb