This is another new tutorial topic for me! The tutorial falls in the early part of S207's Book 7. Therefore I only really need to consider material on reasons physicists developed quantum theory, wave-particle duality, Heisenberg's uncertainty principle and the one-dimensional time-independent Schrodinger equation for square wells and barriers.
I want to emphasise physical thinking as a means of getting into the maths. The material on the Schrodinger equation is quite mathematical and complex.
I decide to focus on the role of standing waves. These could be waves in a glass of wine (or cup of coffee), or in a skipping rope. I want to show how the confinement of the waves leads to discrete wavelength values, which then give rise to discrete energy values - quantization.
I sketched some one-dimensional standing waves on a rope, and wrote down expression for the possible wavelengths in terms of the length of the rope. Then I put these values into sine and cosine wave functions. These are the permitted waves that can 'stand' on the string.
To prepare the actual tutorial material I started to build a PowerPoint presentation. Individual slides were prepared by making use of MS Paint (sketching diagram and graph axes), constructing a series of sine and cosine graphs with Excel, and preparing images of equations in the MS Word equation editor. Student interaction was designed in with some simple quiz questions, by asking students to sketch curves onto my graph axes, and by asking students to do their own algebra.
A copy of the PowerPoint is available here.