Which practical methods could help me solving math problems?
I will approach this question by splitting it into two parts:
Q1: How can I make notes that support thinking about math problems in the best possible way?
Q2: How can I use thinking tools that are helpful in solving math problems?
In Q1, I find the following aspects important:
- How can notes help me to develop ideas and to think straightforward?
- How can I add reflections on my thinking, to see what works well and what doesn’t?
- How can I deal with multiple approaches and chains of thought without getting lost?
- How can I store sudden ideas for later examination?
In Q2, I’m puzzled by the following things:
- How can I find useful representations of the problem?
- How can I generate and exploit seminal ideas that eventually lead to a complete solution?
- How can I deal with obstacles, mathematical and otherwise?
Answers to Q1 and Q2 are obviously closely linked, so I’m aiming at an “integrated method of math problem solving” – it’s not just about note-making and not just about thinking tools, but about combining both for good results.
This is the program for the following posts.
The next post is about note-making technique.