Just call me sensei.

I know it's a little weird but I’ve been thinking lately about writing a math curriculum, yeah really.
Imagine a math class that only happens twice a week and it works like this.

Class 1: you come into class, the teacher takes care of all of the preliminaries, names, course schedule, etc. then he hands you a piece of paper and you leave.

Homework 1: On the piece of paper is a complicated real world applied math problem that to solve requires all of the concepts and equations that need to be learned in the first week, at the bottom of the page there is a list of resources where you could find the information you need to answer the problem and a notice that tells you that there will be a optional class taking place in three days if you need extra assistance. The assignment is to solve the problem showing all of your work, not all of your notes and scratch paper, a neatly re-written representation of what steps you took to solve the equation. Then you turn it in at your next class.

Class 2: You come into class and turn in your solved equation, of you don’t have it the teacher the teacher gives you the homework and you leave, then half a letter grade (5%) is removed for every day that it is late. For those who did turn it in, the rest of class is used in explaining the solution, fielding questions and discussing the application. Then you are given your piece of paper with the homework and you leave.

Homework 2-end: On the paper is another real world applied math problem that to solve requires researching new mathematical principals in addition to applying concepts learned in previous weeks
Semester End: Up to this point all of your solutions have been graded taking into account the process, the answer, how easy or hard it is to understand your process, and your understanding of the application. In the end all of your scores are averaged and that is your final score.

In this system you never hear “How are we ever going to use this”, you get to experience a little taste of different math/science fields and the information is cemented in your brain better because of the research aspect. I would love learning like this.