
Figure 1
The research process.
Note. MA = Mathematics achievement, MM = Mathematics motivation.
Table 1
Video materials used in ofc and fc models.
| VIDEO NO | VIDEO CONTENT | DURATION | WEEK |
|---|---|---|---|
| 1 | Introduction (general expression on the subject) | 14:45 | Week 2 |
| 2 | Left-hand and right-hand limits and limits at endpoints of an interval | 07:28 | |
| 3 | Properties of limit 1 | 08:01 | |
| 4 | Properties of limit 2 | 09:39 | |
| 5 | Limits of composite functions | 06:17 | Week 3 |
| 6 | Limits of piecewise and absolute valued functions | 09:26 | |
| 7 | 0/0 indeterminate 1 | 14:28 | |
| 8 | 0/0 indeterminate 2 | 11:24 | |
| 9 | Continuity 1 | 07:58 | Week 4 |
| 10 | Continuity 2 | 11:24 |
Table 2
Descriptive statistics of quantitative findings.
| VARIABLE | F2F | OFC | FC | |||
|---|---|---|---|---|---|---|
| Pre-test M(SD) | Pos-test M(SD) | Pre-test M(SD) | Post-test M(SD) | Pre-test M(SD) | Post-test M(SD) | |
| Achievement | .09 (3.35) | 61.1 (20.7) | 1.25 (3.69) | 66.5 (21.6) | 1.45 (3.91) | 73.1 (23.5) |
| Motivation | 41.6 (5.09) | 42.2 (4.69) | 43.5 (4.82) | 44.7 (5.44) | 42.9 (5.30) | 42.1 (5.82) |
| Goal setting | 13.6 (3.65) | 13.2 (3.08) | 15.0 (3.08) | 16.2 (2.94) | 14.9 (3.61) | 14.3 (4.09) |
| Expectancy value | 14.1 (2.24) | 14.9 (1.90) | 14.6 (1.21) | 15.1 (1.86) | 14.2 (1.93) | 14.5 (2.01) |
| Self-efficacy | 13.9 (1.90) | 14.1 (2.01) | 13.8 (2.16) | 13.4 (2.69) | 13.8 (2.09) | 13.3 (2.05) |
Table 3
Analysis of variance results for achievement scores.
| SOURCE | df | SS | MS | F | p | ηp2 |
|---|---|---|---|---|---|---|
| Within subjects | ||||||
| Time | 1 | 176985 | 176985 | 734.24 | < .001 | .808 |
| Time × Method | 2 | 970 | 485 | 2.01 | .140 | .004 |
| Error 1 | 80 | 19284 | 241 | |||
| Between subjects | ||||||
| Method | 2 | 1165 | 583 | 2.25 | .112 | .005 |
| Error 2 | 80 | 20717 | 259 | |||

Figure 2
Comparison of pre-test and post-test mathematics achievement scores across all three instructional groups over time.
Table 4
Mixed ANOVA results for mathematics motivation.
| SOURCE | df | SS | MS | F | p | ηp2 |
|---|---|---|---|---|---|---|
| Within subjects | ||||||
| Time | 1 | 4.64 | 4.64 | .38 | .54 | .005 |
| Time × Method | 2 | 30.11 | 15.05 | .24 | .30 | .030 |
| Error 1 | 80 | 971.74 | 12.15 | |||
| Between subjects | ||||||
| Method | 2 | 130 | 65.2 | 1.54 | .22 | .037 |
| Error 2 | 80 | 3394 | 42.4 | |||
Table 5
Mixed ANOVA results for goal orientation.
| SOURCE | df | SS | MS | F | p | ηp2 |
|---|---|---|---|---|---|---|
| Within subjects | ||||||
| Time | 1 | .118 | .12 | .03 | .870 | <.001 |
| Time × Method | 2 | 24.293 | 12.15 | 2.78 | .068 | .07 |
| Error 1 | 80 | 349.683 | 4.37 | |||
| Between subjects | ||||||
| Method | 2 | 128 | 63.8 | 3.24 | .044 | .08 |
| Error 2 | 80 | 1576 | 19.7 | |||

Figure 3
Goal Orientation scores by instructional method over time, highlighting the distinct increase observed only in the OFC group over time.
