Fractions
Module Content
Sessions
Status
1
Session 1: Studying mathematics teaching with a focus on fractions

Part 1: Module preview

Part 2: Using records of practice to study mathematics teaching

Part 3: Analyzing a video from a thirdgrade classroom

Part 4: Discussing the thirdgrade video

Part 5: Representations for comparing 4/4 and 4/8

Part 6: Instances of equivalence in mathematics

Part 7: Wrap up

Resource library
 Part 1: Module preview
 Part 2: Using records of practice to study mathematics teaching
 Part 3: Analyzing a video from a thirdgrade classroom
 Part 4: Discussing the thirdgrade video
 Part 5: Representations for comparing 4/4 and 4/8
 Part 6: Instances of equivalence in mathematics
 Part 7: Wrap up
 Resource library
2
Session 2: Understanding and using representations of fractions

Part 1: Preview

Part 2: The importance of representations in mathematics and mathematics teaching

Part 3: Analyzing representations of ¾

Part 4: Examining explanations for representations of ¾

Part 5: Explaining representation (g)

Part 6: Types of connections with representations

Part 7: Wrap up

Resource library
 Part 1: Preview
 Part 2: The importance of representations in mathematics and mathematics teaching
 Part 3: Analyzing representations of ¾
 Part 4: Examining explanations for representations of ¾
 Part 5: Explaining representation (g)
 Part 6: Types of connections with representations
 Part 7: Wrap up
 Resource library
4
Session 4: Using the number line

Part 1: Preview

Part 2: Interpreting student thinking about the number line

Part 3: Locating numbers on the number line

Part 4: Properties and conventions of the number line

Part 5: Summarizing key ideas about the number line

Part 6: Analyzing students’ errors when labeling marked points on the number line

Part 7: Wrap up

Resource library
 Part 1: Preview
 Part 2: Interpreting student thinking about the number line
 Part 3: Locating numbers on the number line
 Part 4: Properties and conventions of the number line
 Part 5: Summarizing key ideas about the number line
 Part 6: Analyzing students’ errors when labeling marked points on the number line
 Part 7: Wrap up
 Resource library
5
Session 5: Narrating representations and analyzing tasks

Part 1: Preview

Part 2: The practice of narrating

Part 3: General steps for narrating the construction and use of a representation

Part 4: Analyzing others’ narrations of the number line to compare ¾ and 4/3

Part 5: Additional practice narrating the construction and use of a number line

Part 6: Analyzing fraction comparison tasks

Part 7: Wrap up

Resource library
 Part 1: Preview
 Part 2: The practice of narrating
 Part 3: General steps for narrating the construction and use of a representation
 Part 4: Analyzing others’ narrations of the number line to compare ¾ and 4/3
 Part 5: Additional practice narrating the construction and use of a number line
 Part 6: Analyzing fraction comparison tasks
 Part 7: Wrap up
 Resource library
6
Session 6: Using public recording space

Part 1: Preview

Part 2: The importance of attending to public recording space in mathematics teaching

Part 3: Considerations for recording in public space

Part 4: Analyzing images of public recording space

Part 5: A process for planning for and learning from the use of public recording space

Part 6: Wrap up

Resource library
 Part 1: Preview
 Part 2: The importance of attending to public recording space in mathematics teaching
 Part 3: Considerations for recording in public space
 Part 4: Analyzing images of public recording space
 Part 5: A process for planning for and learning from the use of public recording space
 Part 6: Wrap up
 Resource library
7
Session 7: Studying how tasks and public recording space support mathematics teaching

Part 1: Preview

Part 2: Analyzing a task: Which is longer: 3/8 of an inch or 7/16 of an inch?

Part 3: Practice narrating

Part 4: Analyzing records of public recording space

Part 5: Improving the use of public recording space

Part 6: Setting a goal for improving the use of public recording space

Part 7: Wrap up

Resource library
 Part 1: Preview
 Part 2: Analyzing a task: Which is longer: 3/8 of an inch or 7/16 of an inch?
 Part 3: Practice narrating
 Part 4: Analyzing records of public recording space
 Part 5: Improving the use of public recording space
 Part 6: Setting a goal for improving the use of public recording space
 Part 7: Wrap up
 Resource library
10
Session 10: Supporting students’ understanding and use of representations shared by classmates

Part 1: Preview

Part 2: Analyzing and narrating a fractionofaset task

Part 3: Supporting students’ understanding and use of representations shared by classmates

Part 4: Capitalizing on a student's sharing: harnessing an error

Part 5: Encouraging collective work on errors

Part 6: Capitalizing on a student's sharing: using a summary

Part 7: Capitalizing on a student's sharing: additional moves

Part 8: Wrap up

Resource library
 Part 1: Preview
 Part 2: Analyzing and narrating a fractionofaset task
 Part 3: Supporting students’ understanding and use of representations shared by classmates
 Part 4: Capitalizing on a student's sharing: harnessing an error
 Part 5: Encouraging collective work on errors
 Part 6: Capitalizing on a student's sharing: using a summary
 Part 7: Capitalizing on a student's sharing: additional moves
 Part 8: Wrap up
 Resource library
11