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