If my vocal students can't read music or have access to a keyboard/piano, I insist they do theory during their lesson. Of course it can be much harder for them but some manage to develop better inner hearing than students who can read music. To do this of course, I also include sight singing work. The theory book I use is call 'Master Your Theory' by Dulcie Holland. Ms Holland is Australian and the books are published and available anywhere in Australia but I'm not sure if they are available outside Australia. Each chapter has a simple explanation of, for example - what a sharp, flat or natural is, followed by exercises. This is then followed by some revision exercises of the material explained in previous chapters etc. I might spend about 10 minutes of the lesson explaining the material and exercises, which they do between the lessons and are corrected at the next lesson. For the first couple of levels this is easy to do, but as the students become more advanced, the lesson becomes longer or they come on another day just for theory and sight singing etc. I'm sure there are similar books outside Australia to these.
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