Part 3

Applying the Learning

WATCH: Strengthening Assessment and Instruction

3.06_Applying (#99)*.mp4

TASK: Five Principles for Unpacking Problems with Students

Take some time to reflect on and discuss Carpenter's five principles for unpacking problems.

from Carpenter, Fennema, Franke, Levi, Empson. Children’s Mathematics: Cognitively Guided Instruction, Second Edition. © Heinemann, 2015, pages 134-152.

Discuss and Share

What instructional practices have you adopted that you believe supports one or more of these principles? Download a document to record your thinking. You can access this document by clicking here.

To view the reflections of past participants you can view this collaborative google doc.

In addition, feel free to write down questions and wonderings that you have about any of these five principles. See what wisdom emerges from this group.

TASK: Analyzing Student Work

Review and Reflect

Take a moment to reacquaint yourself with this trajectory introduced in session #1.


Analyze and Discuss

In preparation, read this problem and anticipate some student responses.

Analyze the work of seven students as they considered this situation. View the student work by clicking here. Use the trajectory above to anchor your analysis.

(TIP: If you're in groups, you might wish to assign a different person to each work sample and then share your analyses.)

WATCH: Comparing Analyses (optional)

If you wish, you may compare one or more of your analyses to those in the videos below.

Sample Analysis: Jenny

3.07.1_Jenny (#103).mov

Sample Analysis: Jed

3.07.2_Jed (#104).mov

Sample Analysis: Joel

3.07.3_Joel (#110).mov

Sample Analysis: Cassie

3.07.4_Cassie (#107).mov

Sample Analysis: Elliot & Georgina

3.07.5_Elliot-Georgina (#109).mov

Sample Analysis: George

3.07.6_George (#126).mov