I want to test mathematical attainment against divergent ability.

Asking gender will make results useful for the next module (Gender in Mathematics)

Ask if testees would like to help in future. (Paul M. - how did he word this?)

Measures

• Mathematical attainment Grade in GCSE Maths, Grade in A Level maths.
• Divergent thinking.
  • position in class? -ve, not an absolute measure.
  • Bias? Position div. vs. con. thinking. -ve, requires more tests
  • Generally, IQ tests are split into verbal, numerical, and spatial tests. Divergent abilities may be similarly split (Guilford). Will a test of verbal divergence say anything about numerical divergence.

Possible tests (From Guilford) divergent tests - 15mins each

• figural
  • Sketches: page of circles (p.140) Unrelated to maths or language.
• symbolic
  • DSR Number Combinations? (p.146)
  • DSI Symbol Elaboration (p.159, also in Orton)
• semantic
  • Brick uses (p.145) - Hudson used 5 test words in fifteen minutes.
  • Multiple grouping test (p.146) - Relates to classification problem. Some with biology others without. (Note - descent classification vs. bioenergetic classifications - i.e. autotrophs vs. heterotrophs; chemo-, litho-, photo-, etc. Especially bacteria. Behavioural and ecological classifications)
• behavioural?

Timing tests - tests on separate papers with table numbers.

IQ tests

numeric, verbal and spatial 48/50, 34/50, 46/50

Multiple classifications (Guilford & Hoepfner, 1966, "", Multiv. Behav. Res. , 1, 43-64)

Guilford's example: (1967, p.146)

From the list of words on the left, make some small subclasses of objects:

1. arrow
2. bee
3. crocodile
4. fish
5. kite
6. sailboat
7. sparrow

Other possibilities:

1. spaniel
2. horse
3. bird
4. fish
5. reptile
6. dragonfly
7. lobster

1. crocodile
2. lion
3. antelope
4. cow
5. frog
6. dog
7. vulture

1. skate
2. hut
3. club
4. grouse
5. mosquito
6. moss
7. sombrero

1. cog
2. marrow
3. rosemary
4. gosling
5. gourd
6. mole
7. llama

1. stag
2. fox
3. jaguar
4. horse
5. hound

1. bat
2. ostrich
3. dragonfly
4. dolphin
5. penguin
6. jackdaw
7. badger

• Convergence and Divergence
• Guilford's 'structure of intellect' model