The video we had watched in class spoke to me. I saw that simple repetition and building upon what was established in class worked effectively to teach the students the basic principle of the number line. Small steps helped ingrain the basic principles in the students and I think that the way the teacher taught was quite effective.
Using repetition, he was able to tell the students that steps generalized to more complex things. He was able to teach gr 9 students simple algebra by example and by asking the students what they would do. In effect, he was able to let the students flourish and figure things out by themselves by guiding them. The students, in effect, already knew what to do. He just let them know that they already knew. This, I think, would build confidence on the children.
As well, whole class participation helped the teacher see if there was confusion among the students. This also let the students reflect on what they had just said and allowed for them to correct their mistakes. I thought this was very effective rather than the teacher telling the students that they were wrong.
The teacher also used the classroom effectively to teach the students. He used the space outside of the blackboard to extend the 'number line' so that his students may understand that the number line infinitely grows.
Overall, I think that his teaching style works quite well to be able to teach students concepts and such. My question is, how would you scale this sort of teaching to higher levels like Math 11 or 12?
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