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When you are tackling a thoroughly unfamiliar problem, often the greatest challenge is beginning the problem.
Examples of good problem-solving habits:
Examples of good problem-solving habits:
highlighting key information, particularly key numbers and key words, in the problem
highlighting the question that is being asked » labelling your diagrams so they can be understood by someone else (like yourself, looking back at the problem, after five minutes lost in thought)
underlining your answer
checking that you have not omitted any information from the original question in reaching your answer
expressing your answer as a clear English sentence - written on the page ideally, or in your head if not. If you cannot express your answer clearly as a sentence, then you do not understand what you have found - and it probably needs re-evaluating.
Knowing your weaknesses
Knowing your weaknesses
The list of decisions and processes where you are likely to make an unforced error is a highly personal thing. It is like a mirror that shows up all your worst features.
You must study this mirror in order to polish your problem solving, and your chance to 'study the mirror' occurs whenever you tackle a problem (especially when you do it under time pressure). You need to do this regularly, identify where you slip up, analyse it and make a note of it.
Last Tool: Venn Diagrams
Last Tool: Venn Diagrams
Venn diagrams show how different concepts can overlap by forcing you to consider the exhaustive list of possibilities. For example, if A and B are two closely related properties:
Could an object be both A and B?
Could an object be A but not B?
Could an object be B but not A?
Could an object be neither A nor B?
The diagram forces these decisions upon you, while also enabling you to concentrate on other things.
Use the following assignments to see what topics you should brush up on before taking the AICE Paper 1 Exam in April :)
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