1. Problem TypeRule IIIIIIIV Equal100 Dominant100 Subordinate0 (should say balance) 100 Conflict- Dominant 100 33 (Chance Responding) 100 Conflict- Subordinate 0 (Should say right down) 33 (Chance Responding) 100 Conflict- Equal0 (Should say right down) 33 (Chance Responding) 100 Prediction of percentage of correct answers and error patterns for children using Rules I-VI on projection of shadow task.

2. TABLE 3 Developmental Trends Observed and Predicted On Different Problem- Types in Experiment 1 a Problem Type AgePredicted Developmen tal Trends 5-69-1013-1416-17 Balance9499 100No change – all children at high level Weight8898 No change – all children at high level Distance9788195Dramatic improvement with age Conflict- Weight 86745351Decline with age – possible upturn for oldest Conflict- Distance 11324850Improvemen t with age Conflict Balance 7172640Improvemen t with age

3. Model of Rule I Weight Same? Balance Greater Weight ---------> Down

4. Model of Rule II Weight Same? Greater Weight ---------> Down Distance Same? Greater Weight ---------> Down Balance

5. Model of Rule III Weight Same? Distance Same? Greater Distance ----> Down Balance Distance Same? Greater Weight ---------> Down Greater Weight Same Sise ad Greater Distance? Same? Muddle Throug h Greater Weight and Distance ---------> Down

6. Model of Rule IV Weight Same? Distanc e Same? Greater Distance ----> Down Balance Distanc e Same? Greater Weight ---------> Down Greater Weight Same Side as Greater Distance? Same? Greater Weight and Distance ---------> Down Cross Produc t Same? Balanc e Greater Product ---------> Down