Math 200: Mathematics Concepts for Teachers, Fall 2012

Reading and Homework Assignments

Week 9

Due Thursday, November 1st:

·        Your Exam corrections: Redo every problem for which you did not earn full credit.  Staple the corrections to the test and turn it in before class.

·        Pen pal letters are due by midnight.

 

HOMEWORK #9: Due Tuesday, November 6th:

Reading Assignment:

·        Read section 3.4 of the textbook in preparation for class.  Pay close attention to the development of the long division algorithm, the prerequisites for understanding it, and the concepts that will be learned in the future that need the long division algorithm as a base.

·        Read section 3.5 of the textbook in preparation for class.

Reading Questions:

1.        Why is the long division algorithm the most important and complicated algorithm taught in elementary school?

2.        What are the prerequisites required for learning long division by 1-digit whole numbers?  Explain why these are prerequisites.

3.        How is the development of the division algorithm different for the different interpretations of division?

4.        What is estimation?

5.        What is simple estimation?

6.        Should children learn to estimate or calculate first?  Explain.

7.        Where is estimation used in elementary school?

8.        Give an example of a situation where it is advantageous to overestimate. 

9.        Give an example of a situation where it is advantageous to underestimate.

10.   Write some comments and questions on these sections.

Homework Assignment:

·        Justify the multiplication algorithm commonly used in the United States step by step, citing the properties of operations at each step for 52x46.

·        Come ready to class with your iPad video of your mental strategy for finding 52x46 to share with others.

·        Please write on the top right-hand of your homework how long you spent on this homework.

·        Explain why the multiplication algorithm makes sense for a) 4x32 and b) 4x36 as we did in class.

·        Watch the video: http://teachertube.com/viewVideo.php?video_id=46231&title=abbott_and_costello.

Explain what is going on in the different explanations.

·        Explain to a couple of people (roommates, friends, family) why the long division algorithm makes sense for a) 342 divided by 4 and b) 407 divided by 4 as we did in class (Thursday).  Describe your explanations and your friends’ reactions.

·        Homework set 13, problems 1-7.

·        Homework set 14: problems 2,5,6.

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