1.1 TH E SQUAR E GRI D
5
Advice. A s you g o through thi s book , yo u ma y find i t helpfu l t o kee p a recor d
of you r thought s an d ideas . Se t asid e a noteboo k fo r thi s purpose . Pu t al l o f
your wor k there , no t jus t th e final answers . I t i s importan t t o kee p a recor d o f
the entire proces s you went throug h a s you worked o n a problem, includin g wor k
which didn' t see m t o lea d t o a n answer . You r faile d metho d o n on e proble m
could tur n ou t t o b e the correc t metho d fo r anothe r problem . Havin g your wor k
in on e specia l plac e wil l hel p yo u se e what yo u hav e don e an d wil l make i t eas y
to find ol d wor k whe n yo u nee d it .
It i s importan t tha t yo u spen d sufficiën t tim e thinkin g abou t th e Task s a s
you encounte r them . Som e Task s ar e eas y an d som e ar e ver y difficult , s o yo u
should no t expec t t o find a complet e answe r t o ever y one . I f a Tas k seem s
mysterious, i t ca n hel p t o discus s i t wit h someon e else . Occasionall y yo u ma y
skip a Task an d com e back t o i t later , bu t skippin g a Task i n the hop e of finding
the answer s i n th e tex t wil l lea d yo u nowhere . Th e onl y wa y fo r yo u t o find a n
answer i s to discove r i t yourself . Sometime s thi s wil l mean spendin g a lon g tim e
on on e Task . Tha t i s th e natur e o f mathematica l discovery . Yo u wil l find tha t
discovering you r ow n mathematics i s not a t al l like trying t o lear n mathematic s
which ha s alread y bee n discovere d b y someon e else .
There i s grid pape r a t th e en d o f the chapter .
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