Five task ‘types’ that create opportunities for conceptual understanding

In his paper The Design of Multiple Representation Tasks To Foster Conceptual Development, Professor Malcolm Swan of University of Nottingham presented five types of tasks  that foster conceptual understanding of mathematical

Why math education is failing

A backlink to my post What kind of mathematical knowledge should teachers have?   brought me to the essay by Matthew Brenner titled The Four Pillars Upon Which the Failure of Math Education Rests

What kind of mathematical knowledge should teachers have?

As a result of her research, Liping Ma developed the notion of profound understanding of fundamental mathematics (PUFM) as the kind of mathematical knowledge teachers should possess. She discusses this kind