“To do the right thing is not enough; to be competent one must also know what one is doing and why it is right”. Von Glaserfeld, 1987.
Remember:
Some activities have more potential for richness than others, but sometimes a relatively ‘ordinary’ task provides the stimulus for an engaging and effective lesson.
Good Tasks:
- Build on the knowledge learners bring to sessions.
- Expose and discuss common misconceptions.
- Develop effective questioning.
- Use cooperative small group work.
- Emphasise methods rather than answers.
- Use collaborative tasks.
- Create connections between mathematical topics.
- Use technology in appropriate ways.
- Classifying mathematical objects
- Interpreting multiple representations
- Evaluating mathematical statements
- Creating problems
- Analysing reasoning and solutions.