Math 200: Mathematics Concepts for
Teachers, Fall 2012
Reading and Homework Assignments
Week 5
HOMEWORK #5: Due
Tuesday, October 2nd:
Reading Assignment:
Read:
* Read sections 1.4 and 1.5 of the textbook in
preparation for class.
Reading Questions:
·
For each of the
properties of addition, which property is also a property of subtraction?
·
What are some
models that can be used to represent subtraction?
·
What are different
interpretations of subtraction? Explain
each one.
·
Describe some
strategies that can be used to simplify subtraction.
·
For each of the
properties of addition, which property is also a property of
multiplication? Use pictures to
illustrate each of these properties.
·
What are some
models that can be used to represent multiplication?
·
Explain why some
models of multiplication are not as helpful as others to illustrate the
commutative property of multiplication.
·
Use a picture to
illustrate the distributive property of multiplication over addition.
·
Write some
comments and questions on this section.
Homework Assignment:
This
assignment asks you to study the textbook to gain insight into how mathematics
is developed.
· Homework set 3 (pp.18-19 of Elementary Mathematics for Teachers):
Problems #1-8.
· On a different piece of
paper (don’t turn this one in but bring it to class), select one of your
strategies for the addition problem 68 + 24.
Write down the properties of addition that you used to solve the problem
step by step.
·
Write a word
problem that would result in the division problem 24 divided by 6.
· Experiment with your iPads. If the
programs are not loaded onto your iPad (try to find iMovie, for example), go to the help desk and have them
load the apps for you.
HOMEWORK #6: Get this
started right away and come to class on Thursday, Oct 4th with
questions. It will be 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.
Back to Reading and
Homework Assignments Back to Math 200
Comments:
pmyers@sandiego.edu