Three Aims for Mathematics Students - Ends & Values
Master the rules, methods or patterns in arithmetic, algebra, trig and
calculus so that in your hands, they lead to the same results as others -
repeatable, reproducible and hence correct results. If you belong
to a group of students whose results differ after using the same method
to arrive at them, you or the group have problem. More drill and practice
will be required alone or with help.
First Sign of Intelligence: The patience and ability to figure
well, to follow multistep method in arithmetic carefully,
precisely, to a right answer, points to and develops the
ability to read and write clearly, with precision and not with
confusion in many arts and disciplines.
Watch for the use or combination of rules and patterns, one at a time and
one after another, in sequence, which gives or suggest new rules and
patterns.
Second Sign of Intelligence: If you see how rules and patterns
can be combined to get results or more rules and patterns, you have
found the key to the thought-based development of more skills and
concepts, those to come and if you like, those you have seen.
Watch for the origins of rules and patterns to understand their benefits
and limitations.
Third Sign of Intelligence: If you develop ability and interest
to see and know the limitations of rule and pattern based reasoning in
theory and practice at home, at school, at work and in society in
general, you are becoming a critical thinker. Good luck. This
third sign of intelligence is not always appreciated - see criticism of site
material
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