1. Describe fractional parts. What are the two distinct requirements of fractional parts? Explain how childrens’ concepts of partitioning need to be refined to produce a concept of fractional parts.
2. Give a fourth grade explanation of the meaning of the top number and the bottom number in a fraction.
3. Explain why it is obvious that 3/4 x 8/5 = 6/5 without using the algorithm and without first getting 24/20.
4. Explain why the place-value system extends infinitely in two directions. How can this idea be developed with students in the fifth or sixth grade?
5. Based on the definition of fractions given by Loop, explain ways in which God uses fractions in the Bible.
Loop, K. A. (2009). Revealing arithmetic: Math concepts from a Biblical worldview. Fairfax, VA: Christian Perspective. (Pages 79-119)
Van De Walle, J. A., Karp, K. S., & Bay-Williams, J. (2013). Elementary and middle school mathematics:Teaching developmentally 8th ed. Upper Saddle River: New Jersey. (Chapters 13-15)
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