Table 1.
Absolute and relative frequency (percentages) of best fitting models indicating direct estimation, proportion judgments or other estimation strategies (left column) and detailed distribution of best fitting model of participants' estimates (right column) separated for bounded and unbounded number line tasks and age groups.
| Estimation strategies | Model fittings | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Direct | Proportional | other | Linear | Unbounded power | Dual scallop | Multi scallop | One- cycle | Two- cycle | |
| BOUNDED TASK | |||||||||
| 1st grade | 40 (85) | 7 (15) | 0 | 30 (64) | 10 (21) | 0 | 0 | 4 (9) | 3 (6) |
| 2nd grade | 32 (74) | 9 (21) | 2 (5) | 22 (51) | 10 (23) | 1 (2) | 1 (2) | 5 (12) | 4 (9) |
| 3rd grade | 17 (31) | 37 (69) | 0 | 4 (7) | 13 (24) | 0 | 0 | 25 (46) | 12 (22) |
| 4th grade | 15 (35) | 28 (65) | 0 | 5 (12) | 10 (23) | 0 | 0 | 8 (19) | 20 (47) |
| Adults | 37 (70) | 16 (30) | 0 | 12 (23) | 25 (47) | 0 | 0 | 7 (13) | 9 (17) |
| UNBOUNDED TASK | |||||||||
| 1st grade | 40 (85) | 4 (9) | 3 (6) | 15 (32) | 25 (53) | 2 (4) | 1 (2) | 4 (9) | 0 |
| 2nd grade | 39 (91) | 4 (9) | 0 | 17 (40) | 22 (51) | 0 | 0 | 3 (7) | 1 (2) |
| 3rd grade | 50 (93) | 0 | 4 (7) | 12 (22) | 38 (70) | 2 (4) | 2 (4) | 0 | 0 |
| 4th grade | 39 (91) | 2 (5) | 2 (5) | 10 (23) | 29 (67) | 1 (2) | 1 (2) | 2 (5) | 0 |
| Adults | 45 (85) | 2 (4) | 6 (11) | 16 (30) | 29 (55) | 2 (4) | 4 (8) | 2 (4) | 0 |
The best fitting models are indicated in bold script.