Table 2.
Nonsymbolic Subtraction Problems of Experiment 3 and Susceptibility to Alternative Strategies
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| X | Y | X-Y | Z | Ratio | Correct choice (larger) | Choose X-Y strategy | Choose Z strategy | Y vs. Z strategy | X vs. Z strategy | Extreme X-value strategy | Extreme Z-value strategy | Spatio-temp. strategy |
| 18 | 10 | 8 | 14 | 0.57 | Z | −1 | 1 | 1 | −1 | 1 | 0 | 1 |
| 26 | 14 | 12 | 21 | 0.57 | Z | −1 | 1 | 1 | −1 | 0 | 0 | 0 |
| 22 | 6 | 16 | 28 | 0.57 | Z | −1 | 1 | 1 | 1 | 0 | 1 | 1 |
| 19 | 5 | 14 | 8 | 0.57 | X-Y | 1 | −1 | −1 | 1 | 1 | 1 | 1 |
| 27 | 6 | 21 | 12 | 0.57 | X-Y | 1 | −1 | −1 | 1 | 0 | 0 | 0 |
| 35 | 7 | 28 | 16 | 0.57 | X-Y | 1 | −1 | −1 | 1 | 1 | 0 | 0 |
| 16 | 8 | 8 | 12 | 0.67 | Z | −1 | 1 | 1 | −1 | 1 | 0 | 1 |
| 22 | 6 | 16 | 24 | 0.67 | Z | −1 | 1 | 1 | 0 | 0 | 1 | 1 |
| 28 | 8 | 20 | 30 | 0.67 | Z | −1 | 1 | 1 | 0 | 0 | 1 | 0 |
| 30 | 18 | 12 | 8 | 0.67 | X-Y | 1 | −1 | 1 | 1 | 0 | 1 | 0 |
| 26 | 16 | 10 | 7 | 0.67 | X-Y | 1 | −1 | 1 | 1 | 0 | 1 | 0 |
| 35 | 19 | 16 | 11 | 0.67 | X-Y | 1 | −1 | 1 | 1 | 1 | 0 | 0 |
| 18 | 10 | 8 | 10 | 0.8 | Z | −1 | 1 | 0 | −1 | 1 | 0 | 1 |
| 24 | 8 | 16 | 20 | 0.8 | Z | −1 | 1 | 1 | −1 | 0 | 0 | 1 |
| 32 | 8 | 24 | 30 | 0.8 | Z | −1 | 1 | 1 | 0 | 1 | 1 | 0 |
| 40 | 10 | 30 | 24 | 0.8 | X-Y | 1 | −1 | −1 | 1 | 1 | 1 | 0 |
| 32 | 12 | 20 | 16 | 0.8 | X-Y | 1 | −1 | −1 | 1 | 1 | 0 | 0 |
| 20 | 10 | 10 | 8 | 0.8 | X-Y | 1 | −1 | 1 | 1 | 0 | 1 | 1 |