Problematized Situations engage the learner in situations that are realistic to them and allow place the emphasis on mathematical thinking rather than right answers .

Mental Routines focus on learning the language of mathematics in a way that is engaging and productive.

Preventing the Numeracy Gap is about keeping up in the first place so that students won't be forever trying to catch up.

Developing fluency and addition and subtraction depends on a firm number sense foundation. Firm foundations take time. In this course…