Ideas to Reflect on Facilitating Learning in Mathematics

Topic:

Describe a type of problem students solved.

What did students know about this type of problem at the beginning of the lesson? How did you diagnose these ideas at the beginning of the lesson and what convinced you that your inferences were accurate?

What problem solving processes and strategies did the students use? How did you focus students’ attention on these ideas?

What did you learn that is important for other teachers to know?

Describe different ways students represented this type of problem.

What did students learn? What did students do during the lesson to increase their understandings? How did you make the decisions that facilitated students' understandings of those idea(s)? How did you focus students’ attention on these ideas?

What did students say or do to convince them and you that they understood the ideas(s)?

What did the students say or do to convince them and you that they could apply or expand the idea(s)? What ways were you able to push students to try new ideas for any of the ten dimensions?

What did the students say or do to convince themselves and you that they were doing mathematics?

How did you encouraged students to use attitudes that mathematicians find helpful when investigating and solving problems? What did the students say or do to convince themselves and you that they valued and/or enjoyed mathematizing?

How did you create opportunities where students had a desire to communicate with or work with other students?

How did you increase students understanding of what mathimatics is, how it can be used, and a desire to use and value its use in their world?

What did you learn that is important for other teachers to know?

 

Robert Sweetland's Notes ©