Math 200: Mathematics Concepts for Teachers, Fall 2012

Reading and Homework Assignments

Week 6


HOMEWORK #6: Due Tuesday, October 9th:

Reading Assignment:

Read: 

·        Re-read sections 1.4 and 1.5 of the textbook and read section 1.6 in preparation for class.

·        Read the article that I sent via email: Using Questions to Help Children Build Mathematical Power.

·        Optional: Read section 1.7 (pages 37-41): Addendum on Classroom Practice.

 

Reading Questions:

·        What are the two interpretations of division?  How are they different from each other? 

·        How is division related to multiplication?

·        What is the Quotient-Remainder Theorem?  Why do you think it is introduced in this section?

·        Share insights and observations on the article: Using Questions to Help Children Build Mathematical Power.

·        Write some comments and questions on this section.

 

Homework Assignment:

·     Homework sets 4, 5 and 6 (from Elementary Mathematics for Teachers).

·      Answer the questions: Is there a distributive property of division over addition?  Is there a distributive property of division over subtraction? Is there an associative property of subtraction?  Justify.

·     On a different piece of paper (don’t turn this one in but bring it to class again), 1) describe your strategy in words and 2) justify (using the properties of addition as we did in class, step by step) your strategy for the addition problem 68 + 24. 

·      On a different piece of paper (don’t turn this one in), write down several word problems that may result in the division problem 24 divided by 6.  Try to include problems using different interpretations and models.  Use a pictorial representation appropriate to your problem.

·      Make up your quizzes.

·      Exam number 1 is on Thursday, October 11th.  Start creating study sessions and reviewing.

 

Note that homework will not be collected on Tuesday.  It will be collected on Thursday before the test begins so that you have it to study.


Your pen pal letter is due Thursday, October 11th before class.  Email it to pmyers@sandiego.edu.


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