Some logic behind the 'See One' in this method is that the longer a students spends just watching some expert do a procedure the lower their confidence gets in their own ability to do the procedure. The student will become more nervous and less willing to give it a try. But if a student is asked to repeat a process after simply being shown it once, they will give it their best effort.
Can the church improve how it teaches one another?
Unfortunately the main teaching method in the church doesn't even start with "See One". The main teaching is often more of a lecture where someone talks about what should be done. How do we move to a point where students spend more time observing the Way of Jesus, repeating how they see it lived, and then teaching others the Way.
How did Jesus teach his disciples? I see a parallel with how Jesus trained His disciples.
See Some: The disciples of Jesus watched their teacher preach the good news of the kingdom of God, and demonstrate the reality of the reign of God as He brought healing to people. (Matt 4:23, Matt 9:35, Matt 11:5, Luke 4:16-20, Luke 4:43, Mark 1:14-15).
Do Some: The disciples were then given authority to bring God's healing to others as they shared the same message of hope that Jesus preached. (Matt 10:5-8, Luke 9:1-4, Mark 3:14-15, Mark 6:7-13)
After about 3 and a half years with His disciples Jesus leaves them with this command.:
Then Jesus came to them and said, “All authority in heaven and on earth has been given to me. Therefore go and make disciples of all nations, baptizing them in the name of the Father and of the Son and of the Holy Spirit, and teaching them to obey everything I have commanded you. And surely I am with you always, to the very end of the age.” (Matt 28:18-20 NIV)So it was these disciples who became the next disciple makers in the early church. I believe they multiplied using similar teaching methods as they had received.
I'm not saying all teaching needs to be done with the "See One, Do One, Teach One" method. But at some point all students should be expected to go out and do what they have seen others do, and begin teaching others by demonstrating the Way.
How can we move discipleship out of the lecture hall and into the hands on practicum lab of life?