Not much actually! In fact, all it takes is some ample experience in high school math! And if you're familiar with proofs, more power to you!
Pretty self-sufficient. In fact, most ideas and concepts introduced throughout the guide (and there are many of them) are either explained in the text, included in the annotation, or linked to external sources where one can learn more about them.
Our guide discusses how higher mathematics can be practiced to drastically enhance one's progress and experience through the lens of 10 powerful learning principles — with a staunch focus on their applications at the practical level.
In particular, its focus is more general than problem solving or proof constructing, and offers more specific tips and strategies than a typical book on math learning.
Yes. While problem solving is not the main focus of this guide, a large portion of it is nevertheless devoted to the specifics of thinking and doing in problem solving.
As such, our thought is that if applied regularly, the tips and strategies featured in the guide can help one tackle mathematical problems more efficiently, more methodically and in a more meaningful way.
Very much so! In fact, as you go through this guide, you might see that we devote much more time discussing the specifics of thinking than the specifics of "mathematical doing"!
Not by itself — as this is a guide on the meta-learning of higher mathematics. However, that's not to say that one cannot learn any mathematics from the wide range of examples featured in this guide (e.g., trace in linear algebra, general formula for cubic equations, Cauchy sequence, floor of a number).
Yes! Very much so! In fact, this has been our hidden agenda all along. Not only do we cover the cognitive processes involved during higher mathematical learning, but we also cover the experiential aspects of higher mathematical learning as well!