Reddit mentions of Powerful Learning: What We Know About Teaching for Understanding

Two that have been helpful to me:

• Classics In Mathematics Education Research - Influential writing in the field of study of mathematical thinking, learning, and teacher practice.
  
• Powerful Learning: What We Know About Teaching for Understanding - A number of authors in different subfields of education discuss the most effective classroom practices, citing the research behind them.

I agree that focus on either of memorization/understanding alone would be lousy pedagogy. I can't really tell from the rest of your comment what you're advocating, though. For example:

> But enough people reach understanding that they become convinced that the way they learned is the way all people learn (or should learn).

Are you saying that people tend to teach as if the students are reflections of their own self? Is their research that evinces this phenomenon?

Is this the book you recommended?

And, is this the Benny article you cite? I (admittedly) skimmed it and read the conclusion. Does it hold any weight 40 years later? Is this method of teaching still used? Can we really infer anything from one test subject?

These are genuine questions, mind you. I am not versed in research in mathematics education, so I'm curious how this paper/book fit into that framework. Thanks for sharing!