Two pieces of advice. First, pick a topic that you believe you can be fully engaged with. Here are some examples. But you can look at the threads of these fr

Two pieces of advice. First, pick a topic that you believe you can be fully engaged with. Here are some examples. But you can look at the threads of these from middle school through first year graduate school. * Geometry (From Euclid to Topology to tensor analysis) * Linear Algebra (From vectors to Convex Optimization) * Calculus (Trig to PDEs') * Algebra (From Groups to Number Theory) Second, is do the work. With math is easy to trick yourself, in the moment, that you know the solution and understand the concept. But that mistake acrues, you get to a point where everything is opaque and there isn't a starting point without a hint. This feeling of self-assurance needs to be challenged. You need to do the work, rewrite the proofs, do the exercises completely, and explore the concept on your own a bit.