some parents don't want to spend the high fees for a professional piano teacher and want cheaper lessons from a student teacher. when i was in high school, i taught several 7-9 year olds. i remember bicycling to their home and enjoying the process of teaching them what i knew. i told the parents my limitations, and they were ok with it. then, passed the students off to another teacher after a year or so. many prof. teachers don't want to bother with the first few years anyway. i've always thought that it's better to get them into good habits. of course, the habits i thought were good back then were more in the mode of 'piano is work.' now i see, piano is really about relaxation and fun (for kids especially). if i were to create a method, it would be with jazzing it up back and forth between teacher and student. the idea, to me, of first lessons should be to familiarize the student with how to spend the MOST time playing, and the least time being too 'particular.' lots of gradual sightreading for some of the lesson, too. maybe a sort of blend of all the methods. i like the kodaly method of learning intervals (and being able to sing them - and playing songs that you know), the suzuki for ear training (and jazzing up little passages for them to repeat), the exercises (whether burgmuller or a dozen a day - my favorite) and scales, and orff's contemporary pieces and rhythm understanding. it seems like beginners need patient teachers - and not to get over dramatic between good weeks and bad weeks. if they don't practice one week - just make the lesson practice. a good repoire with the teacher seems like the greatest advantage for a beginning student.