During this week, I learned about how to manipulate math problems using objects, in order to understand how to do problems with fractions and multiplication. This photo to the left represents the manipulations we had to do, in order to understand fractions. I manipulated these shapes to represent 1/2,1/3,1/4 , and how these fractions relate to the shapes. These manipulations were guided by a student teacher, having us go through a fractions lesson regarding these shapes. A student teacher also went over how to colour a grid while using decimals, representing that 1.0 represents 100% of the picture, and that 0.5 reflect 1/2 of the picture. We then had to draw a picture based on the decimal number she gave us. For instance if she gave us a number of 0.5 with 20 boxes, we would need to fill in 10 boxes.
Three things that I learned:
- How to represent fractions with shapes
- How to represent fractions with decimals
- How to add fractions with a common denominator
Three Points that I would like to make:
- Have the class understand the knowledge through instruction from the teacher first, rather than students teaching students
- Excellent student instruction however
Questions:
- How do I add large decimals without converting to fractions, using shapes?
- What is the best way to explain to students how to add/subtract fractions when dealing with very unlike numbers, resulting in a large denominator?
Weekly Report:
What I learned from the book this week was how to deal with fractions using the number blocks. The book revealed how to represent fractions out of whole numbers. the text book did a really good job of breaking down the steps when it comes to adding, subtracting and multiplying fractions.
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