Assignments # 1 - 10

Math 3110 (T)

A #1 (Due August 27 ~ Tuesday) 10pts

Read the article Relational Understanding and Instrumental Understanding by R. Skemp. Then in your own words explain these two types of understanding - an example from mathematics would be nice. Follow this with a reaction to one of the following prompts:

• Are there other types of understanding? Explain
• As teachers, should we focus on promoting one type of understanding over the other? Why or why not?
• What have been your experiences as you learned mathematics? What types of understanding were supported in your classrooms?

Please print your paper (1-2 pages) and bring it to class on Thursdays. All papers should be written in a simple size 12 font (like Times New Roman) and should be double spaced. Thanks - that helps me be able to give you feedback!

A #2 (Due August 27 ~ Tuesday) 10pts

Go to the Intermath website (http://www.intermath-uga.gatech.edu) and explore. Then go into the Geometry Section and then into Triangles and then to Additional Investigations. You will see a list of problems about Properties of Triangles (http://www.intermath-uga.gatech.edu/topics/geometry/triangle/add.htm).

Please select any other problems to work on in addition to "Classified Information." Please write-up your investigations of these two problems and turn them into me. Click here to read about a write-up.

A #3 (Due August 27 ~ Tuesday) 10pts

Read the chapter Resolving the Continuing Dilemmas in School Geometry by Zalman Usikin. For this reaction paper please respond to the following prompts:

• In general, what is your reaction to this article?
• In your own words, what is the continuing dilemma?
• As a classroom teacher, how do you see yourself "resolving" this dilemma?
• Let me know what (if any) of the mathematical language or content was new or difficult for you. This will help me know where and how to focus our study of geometry.

A #4 (Due August 27 ~ Tuesday) 10pts

Read the chapter Looking at Mathematics and Learning. Then tell me anything that you choose to that you thought about as you read this chapter.

A #5 (Due September 3rd~ Tuesday) 10pts

In the text, please work the following problems

Page 473 #1,Omit #2!! 3 - 6, 9 (estimate only on #9), 11, 12, 15, 17a &b, and 19 OR 20 (your choice)

I will check only to see that you have attempted each problem... feel free to talk with each other or with me, consult different sources, use the answwers in the back of the text to help you "work backwards," etc... We will discuss this assignment in class as long as needed.
 

A #6 (Due September 10th~ Tuesday) 10pts

The following problems can be found in your text (9.2 and 9.3).

Page 482 - 484 #1(odds only), 6, 7, 9

Page 492 - 494 #1, 2, 3ab, 7ab, 12, 14 , 16a

A #7 (Due September 17th~ Tuesday) 10pts

Read the preK-2 Geometry Standard as well as the preK - 2 Measurement Standard from the NCTM Principles and Standards which can be found online at www.nctm.org Then write a maximum of one page reaction paper.

A #8 (Due September 17th~ Tuesday) 10pts

Choose one of the three activites that we worked on in class on 9/10 (The Nets, The Map Coloring or the Properties of Quadrilaterals). Investigate further and write-up anything significant or interesting that you find.

A #9 (Due September 24th~ Tuesday) 10pts

Read the Grades 3-5 Geometry Standard as well as the 3-5 Measurement Standard from the NCTM Principles and Standards which can be found online at www.nctm.org Then write a maximum of one page reaction paper.

A #10 (Due September 24th~ Tuesday) 10pts

Construct the following by hand with a striaght edge and compass. Write the steps that you took to the side of your construction.

• A square
• A rhombus
• An isosceles trapezoid
• The biscetor of a right angle
• An altitude (height) of an acute triangle