Phases of work
Entry
What do I KNOW (information from problem statements AND past experience)
What do I WANT
What can I INTRUDUCE
If you understand the questions sufficiently, you should be able to reconstruct it with your own words.
By carefully reading a question and specializing, you can get more familiar with the question.
Attack
Generating conjectures (what is true)
Be bold to generate but be sceptical at the same time
Expect to detect a pattern.
Improve your conjectures with PDCA cycle.
Justifying conjectures (why it is true)
Link what you KNOW to what you WANT.
Review
CHECK the resolution
REFLECT on the key ideas and key moments
EXTEND the results to a wider context
Record your resolution as if you explain it to someone else.
People do not learn from their experience unless they reflect on what they have done.
Extending is a good source of your own questions.