Mathematical thinkers, problem solvers & Self-Regulated Learners:
If you know how to think mathematically, then you are a better problem solver. If you know how to think mathematically and problem solve, then you are a better self-regulated learner.
- Specializing: trying special cases, looking at examples
Generalizing: looking for patterns and relationships
Conjecturing: predicting relationships and results
Convincing: finding and communicating reasons why something is true.
- Analyze the task: Interpret and understand what is provided in the task/problem.
- Create a plan: connect the given information and desired result with models/ concepts/relationships.
- Execute a plan: follow the plan until a result is attained.
Monitor understanding and actions.
Phillips, Clemmer, McCallum, & Zachariah, 2017
- Task analysis and strategic planning
- Goal setting
- Self-monitoring as implement strategies
- Sense making and seeking help as needed
- Evaluation of goals and strategies
- Ownership of learning and actions
Four Faces of Identity: Engagement, Imagination, Alignment, and Nature. (Anderson, 2007)