We further make use of algedisc to explore more difficult questions and used algetiles as another form of tool to algebra questions. Algetiles give a more geometrical picture which our group prefers. These tools help the student to visualize equivalent expression and will benefit students who are better visual learners.
When using the algetiles to try to solve x2 – 2x, we discussed using the ‘1’ tile to cover the protruding portion. In trying to explain in this manner, would it mislead students to think that the ‘x’ tile is equal to 3 ‘1’ tiles since we deduce that the protruding portion is equal to ‘1’ tile and 3 ‘1’ tiles will fit to the size of the ‘x’ tile? From our group, there has been experience that students have this wrong idea where ‘x’ equals to 3 due to the tile size proportion. We should take note of this possible misconception among students when using the algetiles.
Cheers,
Cheah Boon (group F)
We can actually anticipate this misconception to the students by stressing that 'x' is not equal to 3 even though the length of the 'x' tile seems to be made up of 3 times the unit tile. This, of course, has to be emphasised before using algetiles to execute operations of factorisation or completing square.
ReplyDeleteWinston
Group C