Today it was on connecting dots and algebra. We did the activity on connecting dots and was confusing for me.

The first was to connect 4 dots to create polygons, which was later used to
figure out the area in square units. The next was filling in 5 sequential
numbers into 5 grids that were arranged in the form of a cross. The numbers
should be placed in such a way that when you add the 3 numbers in horizontal
direction and the 3 numbers in vertical direction, it gives the same answer.

He also talked about Dienne’s theory on using proportionate and non proportionate materials. This theory is only for Mathematics and not in general.It consists of the four principles as below:

 Dynamic principle:  Preliminary, structured activities using concrete materials should be provided to give necessary experiences from which mathematical concepts can be built eventually. Later on, mental activities can be used in the same way.

2. Constructivity Principle:  In structuring activities, construction of concepts should always proceed analysis.

3. Mathematical Variability Principle:  Concepts involving variables should be learnt by experiences involving the largest possible number of variables.

4. Perceptual Variability or Multiple Embodiment Principle:  In order to allow as much scope as possible for individual variations in concept-formation and to induce children to gather the mathematical essence of an abstraction, the same conceptual structure should be presented in the form of as many perceptual equivalents as possible.

Quoted from:

PFM 304 Mathematics Unit 1:  Issues in Primary Mathematics



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