Jurdak
actions (relative frequency of mnemonic actions, relative frequency of cognitive actions,
relative frequency of perceptual actions) and the second of the structure of the action map
(number of actions and number of loops). For mathematical knowledge, the relative
frequency of cognitive actions, and number of actions, account for 49% of the variance. For
problem solving, relative frequency of mnemonic actions, number of actions, and number of
loops account for 64% of the variance. For communication, relative frequency of mnemonic
actions account for 21% of the variance. For the overall performance (total score), relative
frequency of mnemonic actions and the number of actions account for 57% of the variance.
In general, performance in problem solving increases with the increase in the relative
frequency of cognitive actions (or the decrease in frequency of mnemonic actions since this
is negatively correlated with the relative frequency of cognitive actions as indicated in Table
4) and the increase in number of actions and number of loops. In other words the quality of
problem solving is dependent on the frequency of cognitive actions and the complexity of
the structure of the action map.