What?
My Taking Action - Individual Plan
So what?
Our
HUNCH is: ….If we co-teach mixed ability groups in Problem Solving then we will be cultivating a Utopic Problem Solving culture for our learners in order to contextualise maths.
My taking action plan is to use the
Five practices model for effectively using student
responses in whole-class discussions that can potentially make teaching with high-level tasks more manageable for me.
Now what?
Anticipating learner responses
Anticipating learner responses is quite useful to me as it help me to think about strategies that learners could may use to solve the problems. It also gets me to think about some misconceptions that the learners could have when solving the problems.
My next step: Anticipating solutions requires that I have to do the problem as many ways as I can by considering how students might mathematically interpret the problem.
Monitoring engagement
Monitoring student responses involves paying close attention to students’ mathematical thinking and solution strategies as they work. I found that the more able learners are generally more engaged and the less able learners in the group sometimes are not so engaged.
Next step: One way that I can monitor student engagement is by circulating around the classroom while students work either individually or in small groups. According to Lampert (2001, p. 140), paying close attention to what students do as they work makes it possible “to use my observations to decide what and who to make focal” during the discussion that follows.
Selecting learners to present
I find that sharing misconceptions can also be useful as this may help learners to learn from their mistakes. When selecting learners I try to select learners who use different strategies
Next step: I should find a way to keep track of which students present their work, so that all students have the opportunity to share their thinking publicly.
Sequencing learner responses
I sometimes start from the lowest strategy and go up to the highest strategy. Sometimes I start from the misconception or at other times I may end with the misconception.
Next step: I might want to have a student present the strategy used by the majority before one that only a few students used.
Connecting responses with key mathematical ideas
As the learners share their strategy I make encourage them to make connections with the different strategies.
Next step: I will help students draw connections between their solutions and other students’ solutions as well as the key mathematical ideas in the lesson.
Reference
Lampert, Magdaline (2001).
Teaching Problems and the Problems of Teaching. New Haven, CT: Yale University Press.