This past Friday I taught a math lesson in a small group setting at MLK elementary and the experience was wonderful. I was asked to prepare a lesson for place value, and equivalent decimals.
On chart paper, I wrote out a large number: 547,650,321,489.432. I had it arranged so every three numbers were in houses: the billions, the millions, the thousands, and the ones. The children loved this and felt it really helped them remember how to say these large numbers. Also, they just learned about the tenths, hundreths, and thousandths place, so we had to practice saying those numbers.
This was done through a game. The students were paired off into teams. They each got to choose their own team names, and tallys were kept. Each group got a miniature dry-erase board with markers to write down their answer. I wrote down a number and they had to write how you would say that number. This was a great success!
Then, once I saw that the students understood this concept, we moved on to fractions. I made eight circles, each cut into different parts. For instance, circles included: 1/2, 1/3, 1/4, 1/6, 1/5, 1/8, 1/10, and 1/12. I wrote out a number, and asked students to find that number within the circles. For instance, 1.5, or 1 2/12. Interestingly enough, in some cases, there was more than one way to represent the fraction using these manipulatives, and it was interesting to watch the groups explore possible ways of finding a solution. At times, the students had difficulties working in groups because they disagreed on their answers, but at times it was helpful because they did not feel confident enough in their responses to share aloud unless partnered up.
Once again, I found that teaching math through manipulatives was very positive and the students were able to have fun with a hands-on interactive lesson, with many visual aids.