Friday, 2 September 2011

5th Session…Bloom & Pick, Pick & Bloom

Fractions…again?!?! Now in problem sum…Didn’t we had enough yesterday???

Anyway, fractions continued and in conclusion I found out that fraction is:
- measurement number (quantity)
- represent proportion

We also learnt about Bloom’s Taxonomy.  Out of the six levels in Bloom’s Taxonomy, three levels were used in mathematics and they are knowledge, comprehension and application levels.

So enough on fractions and Bloom…we had better things to do visually.

Making shapes on dots! Really cracked the brain and came up with various shapes on the dots (including rhombus – which is NOT a triangle, heart & circle – which are INVALID as the shapes should all have straight lines). As we tried to figure out the area of the shapes on the dots, we come to understand Pick’s Theorem.

Based on Pick’s Theorem (area of figure drawn related to dots), the formula is as such:
Area (Area of figure) = i (dots inside) + p (dots in perimeter)




With that, the concept of tessellation was recalled. What is a tessellation? Tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. Another word for a tessellation is a tiling. Referring to the dictionary, it tells that "tessellate" means to form or arrange small squares in a checkered or mosaic pattern. Anyhow, there are five ideas of tessellation:
-         rotate
-         reflect
-         translate
-         stretch
-         shear


I noted the importance of NOT sending out artificial signals to children as these may lead to future confusion and insecurities. As children do things tight or wrong in life, always question them and get them to justify their answer. That is, I suppose, the best way for children not only to learn, but think out of the box too!

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