This study aimed to determine the most effective educational method, in combination with inclusive education, to enhance the motor competence and perceived motor competence of both typically developing children and those with disorders. The results for motor proficiency and perceived motor competence showed that the effect of group * time and time was significant (P < 0.05). Quantitatively, the non-linear method, TGFU method, differential method, and linear method showed the most progress from pre-test to post-test for both typically developing children and children with disorders, respectively. While no previous studies have explored the impact of linear, non-linear, differential, and TGFU methods on both motor and perceived motor competence, the findings of this study align with previous research (
12). Recent studies support the application of non-linear pedagogy and game-based approaches in inclusive education (
11), indicating positive impacts on motor skill development.
In non-linear, differential, and TGFU methods, individuals have the opportunity to tackle movement challenges independently, without comparison to a group. Training is tailored to individual characteristics, promoting both real movement competence and perception, which is beneficial for inclusive education (
18). When comparing the non-linear method with the differential method and TGFU, although these methods share a common perspective, the type of exercises differs, potentially explaining the variations in results observed in this study.
In the results section pertaining to the non-linear method, TGFU method, and differential method, it was demonstrated that the non-linear method is superior to the other two methods in enhancing motor proficiency and perceived motor competence, primarily through quantitative measures. Despite these methods sharing a common perspective, the nature of the exercises differs among them (
18). For instance, in the differential method, although it lacks the provision of models and feedback seen in the non-linear method, it involves describing the skill (
19). By drawing on the non-linear method, this description somewhat diminishes the element of discovery (
20). Additionally, the TGFU method does not involve manipulating constraints or placing the learner in a challenging environment (
17). However, these findings did not reach statistical significance, and it is not appropriate to delve further into this study's results due to the short duration of the interventions possibly contributing to the lack of significance. Further investigation in future studies is warranted.
When comparing the TGFU method and the differential method, no prior studies were found in this area, making it challenging to offer a logical interpretation of the results. Nevertheless, it appears that these outcomes could be attributed to children's preference for games over other forms of exercise. Children, as indicated by Hopper et al., tend to enjoy games more and may derive greater benefits from the TGFU method (
21). This rationale could also explain the lack of significance in the non-linear method and TGFU comparison.
The other part of the results showed that in both disorder groups, the non-linear group was better than the other three groups. The TGFU, differential, and linear groups had the greatest effect in improving motor skills and perceived motor competence. In explaining this section, it can be said that inclusive education methods place students with special needs alongside their normal peers (
22). This approach provides conditions and facilities for creating equal educational opportunities, strengthening social communication, promoting self-esteem and motivation for students with special needs, and is very effective in preventing mental and motor problems (
22). On the other hand, in the non-linear training method, individual differences are considered. This method seems to be very effective for people with disabilities by designing the environment according to the characteristics of each person. The results of this research confirm the claim of non-linear methods based on independence and exploration in the learner (
8). According to the claim of this training method, a person becomes independent by being placed in an exploratory environment, is happy to handle his own tasks, and his self-esteem increases because he is able to be with others. Non-linear methods increase a person's motivation due to exploratory activities, and this makes a person believe that he can handle his own tasks independently (
8). According to Stodden et al.'s model, this high self-esteem and motivation lead the child to more physical activity, which in turn improves motor skills and perceived motor competence (
23).
One strength of this study was its exploration of a wide range of teaching and inclusive education methods. For future studies, it would be beneficial to consider the duration of interventions more thoroughly.
In general conclusion, the presented materials emphasize the effectiveness of environmental manipulation over direct support for children with disabilities. These findings underscore the importance of adaptive methods that cater to individual learning profiles. Recent literature suggests that non-linear and game-based learning not only foster motor skill proficiency but also enhance psychological resilience among children with developmental disorders.