Educational Designer

This is true even of basic facts and skills, if they are to be usable parts of your mathematical toolkit. Teaching, which time makes into a linear sequence, tends to involve a connection only to the previous step, without the links to other topics and applications that underlie robust useful learning.

Lesson objectives setting out goals for each lesson reinforce this defect; the activity sequence in a well-designed lesson should have multiple goals, building up across the unit/module to a coherent whole.

To explore this point through an example, the reader may like to devise learning objectives for each of the worksheets in Unit A of The Language of Functions and Graphs.