Wave functions: explorative model
Objective and steps
Waves can be model by linear combinations of the type .
Furthermore, any of these linear combinations admit an alternative expression that shifts a
sine function, .
Try to find the relation between values A, a, b and .
Students work in pairs (students A and B).
1) Student A shuffles values a and b, pushing the red button. A new wave function would appear in the graphic view.
2) Student B manipulates sliders to select values A and , so the blue graphic superimposes the red one.
3) Student A tries to find a numerical relation in the spreadsheet.
4) Students A and B interchange roles and repeat steps (1) to (3) a number of times.
5) Students write down conclusions about the observed numerical and algebraic relations.