Table 1 Overview of test items and solution frequencies
Item no. | Item format | Type of representational change/basic conc. knowledge about the parameters | Overall solution frequencies: correct/wrong/missing | Academic track solution frequencies: correct/wrong/missing | Non-academic track solution frequencies: correct/wrong/missing | Girls solution frequencies: correct/wrong/missing | Boys solution frequencies: correct/wrong/missing |
|---|---|---|---|---|---|---|---|
19 | SC | Graph → sit.1 (context running) | 68.2% 27.2% 4.6% | 83.5% 13.6% 2.9% | 58.2% 36.2% 5.6% | 65.5% 30.2% 4.3% | 70.6% 24.7% 4.8% |
6 | Open | Graph → sit1 (context running) | 66.8% 23.5% 9.7% | 79.1% 15.9% 5.0% | 58.8% 28.4% 12.8% | 63.7% 24.6% 11.7% | 69.5% 22.5% 8.0% |
11 | Open | Basic conc. knowledge4 (parameters → equat) | 65.4% 16.0% 18.6% | 72.0% 11.8% 16.2% | 61.1% 18.8% 20.1% | 70.1% 14.2% 15.7% | 61.5% 17.5% 21.0% |
9 | SC | Sit → equat3 (context taxi ride) | 63.6% 33.3% 3.2% | 79.1% 17.1% 3.8% | 53.4% 43.9% 2.7% | 59.4% 37.6% 3.0% | 67.1% 29.7% 3.2% |
22 | SC | Graph → sit1 (context racing) | 59.0% 35.9% 5.1% | 67.8% 27.7% 4.4% | 53.2% 41.2% 5.6% | 57.1% 37.3% 5.6% | 69.6% 34.6% 4.8% |
15 | SC | Equat → graph2 | 56.5% 40.9% 2.6% | 60.5% 37.8% 1.8% | 54.0% 42.9% 3.1% | 57.1% 41.1% 1.8% | 56.1% 40.7% 3.2% |
12 | SC | Sit → equat3 (context burning candle) | 53.9% 44.0% 2.1% | 68.4% 29.5% 2.1% | 44.3% 53.6% 2.1% | 51.0% 46.2% 2.8% | 56.3% 42.2% 1.5% |
21 | SC | Equat → graph2 | 50.0% 44.5% 4.6% | 58.1% 37.5% 4.4% | 46.2% 49.1% 4.6% | 50.8% 45.9% 3.3% | 51.1% 43.3% 5.6% |
2 | Open | Equat → graph2 | 49.4% 44.4% 6.2% | 53.1% 42.5% 4.4% | 47.0% 45.6% 7.4% | 48.5% 46.2% 5.3% | 50.2% 42.9% 6.9% |
10 | Open | Graph → equat2 | 48.9% 39.5% 11.6% | 54.6% 35.7% 9.7% | 45.3% 42.0% 12.8% | 48.2% 42.6% 9.1% | 49.6% 36.8% 13.6% |
18 | SC | Graph → equat2 | 47.3% 49.3% 3.4% | 54.0% 42.8% 3.2% | 42.9% 53.6% 3.5% | 44.4% 52.5% 3.0% | 49.8% 46.5% 3.7% |
8 | Open | Equat → graph2 (slope as fraction) | 46.4% 38.9% 14.7% | 44.2% 41.9% 13.9% | 47.8% 36.9% 15.3% | 49.2% 36.8% 14.0% | 43.9% 40.7% 15.4% |
20 | SC | Sit → graph1 (context skier) | 46.0% 50.9% 3.0% | 65.5% 32.2% 2.4% | 33.3% 63.2% 3.5% | 48.2% 49.2% 2.5% | 44.2% 52.4% 3.5% |
16 | SC | Graph → equat2 | 36.9% 59.8% 3.3% | 44.0% 53.7% 2.4% | 32.3% 63.8% 3.9% | 35.0% 62.4% 2.5% | 38.5% 57.6% 3.9% |
1 | Open | Graph → sit1 (context traveling to school) | 32.0% 61.0% 7.0% | 48.1% 49.6% 2.4% | 21.5% 68.5% 10.1% | 27.9% 66.0% 6.1% | 35.5% 56.7% 7.8% |
4 | Open | Sit→ equat3 (context aquarium) | 31.3% 46.3% 22.4% | 54.6% 36.9% 8.6% | 16.1% 52.4% 31.5% | 27.4% 52.5% 20.1% | 34.6% 40.9% 24.5% |
3 | Open | Basic con. knowledge4 (equat. → reading parameters) | 31.1% 53.6% 15.3% | 40.1% 48.4% 11.5% | 25.1% 57.1% 17.8% | 34.0% 52.0% 14.0% | 28.6% 55.0% 16.5% |
5 | Open | Basic conc. knowledge4 (graph → reading parameters) | 24.1% 66.1% 9.8% | 28.9% 64.6% 6.5% | 20.9% 67.1% 12.0% | 22.1% 69.0% 8.9% | 25.8% 63.6% 10.6% |
17 | SC | Graph → sit1 (context racing car) | 23.8% 73.0% 3.2% | 40.7% 57.2% 2.1% | 12.8% 83.4% 3.9% | 20.1% 76.4% 3.6% | 27.1% 70.1% 2.8% |
14 | Open | Graph → equat2 (slope as fraction) | 20.1% 63.7% 16.2% | 24.8% 59.3% 15.9% | 17.0% 66.5% 16.4% | 19.0% 66.5% 14.5% | 21.0% 61.3% 17.7% |
7 | Open | Graph → sit1 (context running) | 19.7% 66.5% 13.8% | 33.0% 58.1% 8.8% | 11.0% 72.0% 17.0% | 15.7% 69.0% 15.2% | 23.2% 64.3% 12.6% |
13 | Open | Sit → graph1 (context vessel) | 12.4% 72.3% 15.3% | 21.2% 71.4% 7.4% | 6.6% 72.9% 20.5% | 7.9% 76.1% 16.0% | 16.2% 69.0% 14.7% |