Know the Math
Problem analysis enables teachers to:
- take full advantage of a problem’s potential.
- adjust or scaffold a problem to make it more
- ask questions and facilitate the investigation of extensions
and connections to make the problem more challenging.
- assess student work and give appropriate
feedback to help a struggling student get on the right track, or to help a successful student think about it in a deeper way and extend their knowledge.
- make better decisions about how to balance
problem solving with other curricular requirements. Well-chosen problems can
often replace regular exercises and assignments and accomplish curricular
goals even more effectively.
What are the critical math ideas of the problem – the prerequisite knowledge and foundational concepts?
Know the Students
- Readiness level – most pertinent
- Learning styles
Role of Assessment
- Summative vs formative
- Informal ongoing assessment – kid watching
Create a Climate of Math Learners
Successful differentiation depends on creating and sustaining a classroom culture that values and nurtures intellect and cooperation. Such a culture does not happen by chance, but rather requires intentional, persistent effort from the teacher as well as the students.
Establish norms for classroom behavior early in the year.
Establish high intellectual expectations for all students and communicate them explicitly and in positive terms.
Oganization of materials
Structure of lesson plans
Flexible grouping strategies
Routines and signals
Appropriate choices of learning tasks
Communicate with parents
The Math Forum