1. 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)
4. A person buys 3 slices of turkey. Together
they weigh
1
3
of a pound. His diet only allows
him to eat
1
4
of a pound. How much of the
three slices can he eat and stay on his diet?
Revisit
5. Revisit:
A pail can be filled
7
8
with
2
3
of a gallon of water.
How many gallons can the pail hold?
6. The 5 Practices for Orchestrating Productive
Mathematics Discussions
Margaret Smith and Mary Kay Stein
8. • 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”
9.
10.
11.
12.
13. • Anticipating
• Monitoring
• Selecting
• Sequencing
• Connecting
During the lesson
Pay 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
14. • 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…
15. • 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
16. • 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
21. 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
