1.2: How Teaching Through Problem-Solving Relates to the Curriculum
In Teaching Through Problem-solving, students use their current knowledge to build the next big mathematical concept or procedure in the curriculum.
To achieve this goal, teachers need to think deeply about:
- the curriculum
- what students know
- how students can use their current knowledge to build the next idea in the curriculum–rather than just be told it
Some curriculum materials make it easy to see how students can use their prior knowledge to build the next concept, whereas other curriculum materials may require more careful study. Mathematical progressions and standards can also provide important insights into how students build their knowledge of new content. The examples in this course illustrate how students build knowledge, and should help you bring this vision of student learning to your own curriculum.
- Do the curriculum materials you use make it easy to see how students can use their prior knowledge to build the next concept? If so, find an example and explain how they do this.