Assignments• Read “Developing Understanding

Through Problem Solving” article• Read and Reflect on the 2 articles sent

through e-mail (directions on how to reflect included)

• Read 6.4 (pp224-230) in The Math that every… Consider 1,2 on pg. 230 (for discussion)

Article Responses duePOW due

Problem Solving Article

Math 483

Some important dates

A person buys 3 slices of turkey. Together they weigh of a pound. His diet only allows him to eat of a pound. How much of the

three slices can he eat and stay on his diet?

Revisit

Revisit:

A pail can be filled with of a gallon of water. How many gallons can the pail hold?

The 5 Practices for Orchestrating Productive Mathematics Discussions

Margaret Smith and Mary Kay Stein

Stein and Smith’s 5 steps• Anticipating• Monitoring• Selecting• Sequencing• Connecting

• Anticipating• Monitoring• Selecting• Sequencing• Connecting

Likely student responses and approaches and how they relate to the goals.

Do the problem in as many ways as you can.(“you” includes research and colleagues)

Goes beyond considering if the answer is “right”

• Anticipating• Monitoring• Selecting• Sequencing• Connecting

During the lessonPay careful attention to students’ mathematical thinking and strategies

Ask questions to help students make their thinking visible

Help students clarify their thinking

Press them where they need it

• Anticipating• Monitoring• Selecting• Sequencing• Connecting

Select certain student work to get specific pieces of math into the open for examination as guided by the lesson goal

The math, tools, representations…

• Anticipating• Monitoring• Selecting• Sequencing• Connecting

Order Matters!Possibilities: most used strategy to least shift to generalization compare different strategies (efficiency?) least to more sophisticated strategy

• Anticipating• Monitoring• Selecting• Sequencing• Connecting

The teacher helps students draw connections between each other’s work and to key mathematical ideas

Patterns to discern

Consequences of each decision

Example: “The case of Nick Bannister”

Monitoring

Next best thing to video….

Analysis

Assignments• Read “Teaching Through Problem

Solving” article (VandeWalle)• Read and Reflect on the 2 articles sent

through e-mail (directions on how to reflect included)

• New POW – Twin Rates