Why do you always love reading, but you never make progress?

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Pirie & Kieren in 1994 proposed a mathematical understanding growth model (Growth of Mathematical Understanding Model),
to explain the people in learning mathematics (concept,
knowledge) when respectively through several stages and its path.
I was clear enough to show with Sketch re painting: approximately.
And the artwork is as follows: there is an important concept in the model of Pirie &amp.
called Folding Back,
That is to say,
this is a process from the entry to the master,
often is not a way to go in the past,
but in differe