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Learning Math Home
Number Session 10, Part A: Classroom Case Studies, Grades 6-8
 
Session 10 Session 10 6-8 Part A Part B Part C Homework
 
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Session 10, Part A:
Observing a Case Study (25 minutes)

To begin the exploration of what topics in number and operations look like in a classroom at your grade level, watch a video segment of a teacher who took the Number and Operations course and then adapted the mathematics to her own teaching situation. When viewing the video, keep the following questions in mind:
Note 2

a. 

What fundamental ideas (content) about number and operations is the teacher trying to teach?

b. 

What mathematical processes does the teacher expect students to demonstrate? How does this lesson help students achieve reasonable estimations and fluent computations?

c. 

How do students demonstrate their knowledge of the intended content? What does the teacher do to elicit student thinking?



video thumbnail
 

Video Segment
In this video segment, Ms. Miles applies the mathematics she learned in the Number and Operations course to her own teaching situation by leading students through the process of converting from base ten to base five. The students then work in groups to convert base ten numbers to base five.

If you are using a VCR, you can find this segment on the session video approximately 12 minutes and 2 seconds after the Annenberg Media logo.

 

 

Problem A1

Solution  

Answer questions (a), (b), and (c) above.


 

Problem A2

Solution  

At what point(s) in the lesson are the students learning new content?


 

Problem A3

Solution  

How do students transfer their knowledge of base ten to base five? What is the evidence?


 

Problem A4

Solution  

What was the benefit of having students use base five, rather than another base, to examine the concept of bases?


 

Problem A5

Solution  

Discuss the role of manipulatives in Ms. Miles's lesson. How did they help deepen the students' knowledge of the content area?


 

Problem A6

Solution  

Ms. Miles's lesson was based on Session 3 of this course. Discuss the ways in which her lesson was similar to and different from the one in this course. What adaptations did she make, and why?


Next > Part B: Reasoning About Number and Operations

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