Table 1.
Nonsymbolic Addition Problems of Experiment 1 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 | 28 | 16 | 4:7 | X+Y | 1 | −1 | −1 | 0 | 1 | 1 | 1 |
| 26 | 14 | 40 | 24 | 4:7 | X+Y | 1 | −1 | −1 | 0 | 0 | 1 | 0 |
| 22 | 6 | 28 | 49 | 4:7 | Z | −1 | 1 | 1 | 1 | 0 | 0 | 1 |
| 19 | 5 | 24 | 42 | 4:7 | Z | −1 | 1 | 1 | 1 | 1 | 0 | 1 |
| 27 | 6 | 33 | 56 | 4:7 | Z | −1 | 1 | 1 | 1 | 0 | 1 | 0 |
| 35 | 7 | 42 | 24 | 4:7 | X+Y | 1 | −1 | −1 | 1 | 1 | 1 | 0 |
| 16 | 8 | 24 | 36 | 4:6 | Z | −1 | 1 | 1 | 1 | 1 | 0 | 1 |
| 22 | 6 | 28 | 42 | 4:6 | Z | −1 | 1 | 1 | 1 | 0 | 0 | 1 |
| 28 | 8 | 36 | 54 | 4:6 | Z | −1 | 1 | 1 | 1 | 0 | 1 | 0 |
| 30 | 18 | 48 | 32 | 4:6 | X+Y | 1 | −1 | −1 | 0 | 0 | 0 | 0 |
| 26 | 16 | 42 | 28 | 4:6 | X+Y | 1 | −1 | −1 | 0 | 0 | 1 | 0 |
| 35 | 19 | 54 | 36 | 4:6 | X+Y | 1 | −1 | −1 | 0 | 1 | 0 | 0 |
| 18 | 10 | 28 | 35 | 4:5 | Z | −1 | 1 | 1 | 1 | 1 | 0 | 1 |
| 24 | 8 | 32 | 40 | 4:5 | Z | −1 | 1 | 1 | 1 | 0 | 0 | 1 |
| 32 | 8 | 40 | 32 | 4:5 | X+Y | 1 | −1 | −1 | 0 | 1 | 0 | 0 |
| 40 | 10 | 50 | 40 | 4:5 | X+Y | 1 | −1 | −1 | 0 | 1 | 0 | 0 |
| 32 | 12 | 44 | 55 | 4:5 | Z | −1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 20 | 10 | 30 | 24 | 4:5 | X+Y | 1 | −1 | −1 | 0 | 0 | 1 | 1 |