Monday, September 20, 2010

Lesson 5

There is a reflection to write for todays's lesson. For tomorrow final lesson, please submit your groupwork assignment by copying your files on the desktop of the class computer or giving me a CD.

We did three problems today. The quiz problem was the letter in HAIZI which is the k th letter when counted in a certain way. I am glad students had many ways to do it - the add 8 strategy, the look for multiples of 10 and multiples of 5 strategy, the dividing and using the remainder strategy and so on.

The other problems are based on measurements and geometry. One was on using n pieces of the tangram set to make a square where n = 2, 3, 4, 5, 6 or 7. The class found one solution for n = 2, one solutions for n = 3, three solutions for n = 4, one for n = 5, none for n = 6 and one for n = 7.

The final problem was to find the sum of interior angles in a pentagon.

We discussed Piaget's ideas of assimilation and accomodation. We also spoke about constructivism.

Did the class get the three big ideas in mathematics? Visualization, patterning and number sense.

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