Coherence in Algebra
The Common Core State Standards call for three important instructional shifts in mathematics:
- Greater focus on fewer topics,
- Coherence: Linking topics and thinking across grades, and
- Rigor: Blending of conceptual understanding, procedural fluency, and application.
The videos in this collection, which supports the findings of the National Mathematics Advisory Panel, set up the importance of approaching the topic of Algebra as a whole, give an example of how to make connections through an experience with linear equations, and explore classroom tasks that apply and extend students’ understanding of linear equations. The materials for the classroom tasks are available.
Hung-Hsi Wu, a professor of mathematics at UC Berkeley, discusses the importance of seeing algebra as a whole rather than a collection of isolated facts and shortcuts to be memorized.
An eighth-grade algebra teacher talks about how he builds skills necessary for algebra concurrently with the teaching of algebra standards.
A task to support the understanding and language of graphs. Students sit back to back and one student describes a graph while the other draws it and then they compare it with the given graph.
A secondary teacher has students connect their knowledge of polynomials and equations of lines to solve problems in context. Linked with Assignment: Problem Solving.