Human ecology
Psychology of learning mathematics
Notes
PLM - Notes - 8/1/00

Convergence and Divergence Most people are either divergers or convergers, a few are both.

From Hudson (1966) quoted in Orton (1992, pp.112-113)

(Biology context - Mayr (1999) argues that the methodology of biology should look more towards history and less towards physics. On the other hand, Ho (1998) argues that physical methods have extended our understanding of the cell.)

DUALIST & NON-DUALIST (Relativist)

National Curriculum (1991) Closed (single fixed answer) and non-closed (multiple answer) tasks.

Find which areas of biology and mathematics are closed or non-closed.

Possibilities: (non-closed)

Set Theory

(exploring ideas of transitivity)

Defn. 6 = s(s(s(s(s(1)))))

S1 = 1, 2, 3, 4, 5, 6, 7, ...
S2 = 3, 9, 27, 81, 243, ...

S2 is a subset of S1

S3 = 5, 25, 125, 625, 3125, ...

S4 = S1 intersection not(S2)

S5 = S1 intersection not(S3)

S6 = S4 intersection S5

S6 is a subset of S4 is a subset of S1

S6 is a subset of S5 is a subset of S1

??????


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Created 7/1/00
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