Research-based guidance and classroom activities for teachers of mathematics

(Generating by) using a formula

The link takes you to a 'Number and Algebra' textbook on the National STEM Centre eLibrary. Exercises often ask students to reason inductively a formula for a given sequence, but the tasks on pages 42-43 turn this process on its head and offer the formula to generate the sequence.

This way round, students stand a good chance of spotting the effects of different parameters in the formula. If not, they can change parameters for themselves and see how the generated sequence changes. This is an old resource which mentions programming in BASIC in some of the tasks, but they can be adapted for use with spreadsheets.

Go to Number and Algebra textbook on the National STEM Centre eLibrary >>