Effects of Varied Practice Approach in Physical Education Teaching on Inhibitory Control and Reaction Time in Preadolescents

: This study aimed to investigate the effects of nonlinear and linear varied practice compared to a constant linear practice on inhibitory control and reaction time, which are capacities that involve cognition in preadolescents. Eighty-three participants in the 8th grade participated in the study. They were assigned to two experimental groups (varied practice), taught using nonlinear pedagogy (NLP) and linear pedagogy (VLP), respectively, or one control group (constant practice), taught using linear pedagogy (CLP). All participants were tested for inhibitory control (congruent and incongruent conditions) and simple reaction time. Overall, varied practice (both linear and nonlinear) induced larger improvements than constant practice under both congruent ( p = 0.026) and incongruent ( p = 0.013) conditions of inhibitory control. Additionally, VLP provided greater improvements in inhibitory control (for the incongruent condition) than NLP and CLP. Although NLP and VLP may be preferable to CLP approaches for enhancing executive functions in preadolescents, VLP seems to be the most effective approach aimed to improve cognition within PE classes.


Introduction
The World Health Organization recommends a specific daily dose of physical activity, from moderate to vigorous intensity, related to age and gender for health benefits [1]. Moreover, aerobic exercise is also considered as a "useful drug" to reduce age-related cognitive decline [2], as well as a preventative measure for cardiovascular and metabolic diseases [3].
In preadolescents, aerobic exercise affects both prefrontal executive control and hippocampal function [4] and has major effects on executive functions [5] involved in attention and concentration [6]. The prefrontal cortex, which is associated with executive functions, continues to undergo substantial changes during adolescence, as does the myelination of axons. This caused an increase in white matter and a decrease in grey matter, which led to a synaptic reorganization in 13-14 years old children [7].
As scientific literature has confirmed, the development of executive functions is also related to varied physical activity and to an adequate dose of exercise [8,9]. In this way, the literature has evidenced the necessity to consider both quantitative aspects (related to health) and qualitative aspects (related to motor control) of movement, as the same brain areas (e.g., prefrontal cortex) used to control the cognitive processes are activated during physical activity [10,11]. Although the brain reaches 95% of its development by the age of allow for the exploration of all the specific feelings of the body and movement, through a kinesthetic differentiation, to learn a model of motor skill [36,37]. In nonlinear pedagogy, variations can relate to the functional difficulties occurring. The choice about a challenging task depends on the individual's skill level, on his/her perception of the situation, and on his/her personal strategies aimed to solve environmental problems. The discovery is indirectly guided by the teacher [36].
Contextual interference is another common aspect of the two approaches. It is a robust learning phenomenon that is the interaction between many combined motor abilities and situations based on varied or randomized practices that create motor disturbance situations through new, unknown, or different stimuli. These stimuli force the focus of attention on the main task to better perceive the sensations derived from it and obey a constant adaptation and alert. Therefore, they induce a decrease in the sensibility threshold and an increase in adaptation capacity, which leads to better use of the body in general and specifically, to the range of movement referred to in the model [38]. Interference and practice variation stimulate a continuous redefinition of motor programs and a kinesthetic perception of actions [39][40][41].
Nonetheless, other hallmarks, such as the learners' active involvement by reflection (obtained through reciprocal observations and self-check, during varied linear applications) and guided discovery (as in the application of nonlinear styles) can be retrieved in both pedagogical approaches as further action to advance cognitive functions [27,28,42].
Motor abilities can be acquired by focusing on the movement form (external appearance of actions) or content (inner motor processes stimulated through reflection based on questions, variation, and contextual interference). Reflective practices could be focused on the different modalities in which a motor task can be solved (nonlinear approach) or on the perception of kinesthetic sensations compared to executive results (varied linear approach) [43].
In a linear pedagogy approach, the attention is characterized by a monotasking experience focused on the main goal of learning. In a nonlinear approach, the research on perceptive learning showed that an embedded learning frequently changes operational conditions and induces the learner to continuous adaptation of the attention by multitasking experiences, promoting a "learning to learn" [44].
Even if the scientific literature showed that physical exercise in a dynamic and changing environmental context could improve attention skills and cognition more than in a static and predictable context [45], to the best of our knowledge, no study investigated the effects of a different varied and constant practice on executive functions and clinical reaction time.
The present study investigated the effects on inhibitory control and reaction time of a varied practice characterized by two different educational approaches (nonlinear and linear pedagogy) compared to a constant practice characterized by the prescriptive linear pedagogy approach. We hypothesized that variations would lead to inhibitory control and reaction time effects superior to those obtained through constant practice. Furthermore, variations in a linear approach should produce comparable cognitive benefits to a nonlinear approach. Linear approach variations are aimed at fostering better kinesthetic perception and movement-specific awareness, while nonlinear approach usually applies random practice under the dynamic system's ecological theory, which is aimed to favor an embodied cognition and a better general body awareness.
We can synthesize our research questions as follows: does a reflective approach based on movement content lead to different cognitive transfer effects than an approach based on the movement form? Does a varied linear approach based on a reflective practice determine the same cognitive transfer effects as a nonlinear approach?

Materials and Methods
Eighty-three students from two Italian secondary schools (8th grade) participated in the study (age 13.2 ± 0.3 years, height 1.60 ± 0.08 m, weight 48.4 ± 8.6 kg, body mass index 18.7 ± 2.2 m/kg 2 ). The number of participants satisfies the sample size previously calculated by the G*power software (N = 66). Due to practical reasons (intervention study performed during the curricular PE lessons), a quasi-experimental design was applied to establish cause-and-effect relationships between independent (teaching approach) and dependent (inhibitory control and reaction time) variables. Two public schools belonging to the same local area were involved in the study to prevent threats to research reliability, perhaps originating from differences in the participants' socioeconomic and cultural features. A control group was established among classes of one of the schools whose teachers previously declared to teach their students by a constant linear pedagogy (CLP) approach (one class designated). The experimental groups were designated in the other school to prevent the CLP teacher from any direct or indirect influence on his teaching approach by possibly watching the PE lessons led according to the experimental procedure. Therefore, two school classes acted as experimental groups and were taught with varied nonlinear pedagogy (NLP) and varied linear pedagogy (VLP), respectively, by two PE teachers with expertise in nonlinear and linear approaches collaborating with our research team (Table 1). After being well informed about the study's potential risks and benefits, the participants and their parents or guardians provided written consent. They were allowed to withdraw from the study at any moment. The study was carried out under the Helsinki Declaration of 1975 and was approved by the Ethics Committee of the Università degli Studi di Milano.

Procedure
Before starting the training period, the participants were familiarized with the testing procedures, and inhibitory control and simple reaction time were assessed. In the subsequent 12 weeks, the participants attended the regular PE classes (1 h, twice a week), learning team sports basics and acro-sports as topics. Two PE specialist teachers with expertise in nonlinear and linear approaches taught NLP and VLP, while the PE school teacher using constant linear pedagogy taught CLP. Figure 1 and Table 2 depict the rationale of the study, participants' grouping, and the pedagogies' features. In addition, all interventions and examples of the teaching approaches are provided in the "training" section and Appendix A.    To check that the teaching approaches corresponded to the expected ones, a random selection of PE lessons for each group was observed. PE lessons were video recorded and subsequently analyzed using the instrument for identifying the teaching styles (IFITS) [46]. The testing procedures were repeated at the end of the experimental period.

Inhibitory Control
A modified version of the flanker's task was used to measure the participants' selective attention and inhibition control [47]. First, participants had to detect the direction of the central arrow among the five that appeared on a computer screen as quickly and accurately as possible. Within two seconds, they had to press the A key on the keyboard when the target arrow was pointed to the left, and the L key when it was pointed to the right. They had to ignore the flanking arrows on each side, pointing towards the same or the opposite direction of the target one, and representing a congruent (left: < < < < < or right: > > > > >) or incongruent (left: > > < > > or right: < < > < <) condition.
One hundred trials were presented (50 right and 50 left target arrows) with the same probability of congruent and incongruent conditions. For both congruent and incongruent conditions, the mean response time of the correct responses and response accuracy were considered for the analysis. The survey and experiments were implemented and presented online using the PsyToolkit platform [48,49].

Simple Reaction Time
Clinical reaction time was measured according to the methods of Eckner et al. [50] to assess the simple reaction time. Participants had to catch an apparatus composed of a wooden graduated stick (0 to 100 cm) having a weighted disk at its extremity as quickly as possible, as the examiner released it at random intervals. The participants sat with their dominant forearm on the table's edge. The examiner suspended the apparatus so that the weighted disk was aligned with the top of the participant's open hand. The distance the Sustainability 2022, 14, 6455 6 of 17 apparatus fell (in centimeters) was recorded in eight consecutive trials. The mean distance was afterwards converted to time, in milliseconds, using the formula d = 1⁄2 gt 2 . Then, the average of times was considered as clinical reaction time [50].

Video Analysis of the PE Lessons
For each experimental group, three PE lessons were randomly video recorded at the beginning, half, and end of the training period for a posteriori examination to verify the actual teaching approach adopted by a teacher during the classes. Specifically, the total time of activity, action time, resting time, reflection time, and duration of teaching styles were assessed three times and analyzed by three PE experts using the instrument for identifying the teaching styles (IFITS) [46]. The IFITS is a validated interval recording tool [51][52][53] that analyses what teaching style the teacher uses during the lesson and how long the teacher uses it [42]. Every 20 s, a rater identifies which teaching style the teacher uses and reports it on the IFITS coding sheet. The rater reports the total time (min) of each teaching style and calculates the percentage of each of them for the total activity time. A more detailed description of the instrument is provided by Curtner-Smith [46]. Intra-and inter-rater reliability were assessed using the intraclass correlation coefficient (ICC). The experts had been previously instructed and trained for six hours in collecting data and operating using coding instruments. The outcomes of the video analysis are provided in Table 3. For each teaching style and activity, the duration is shown as mean ± SD, with the corresponding percentage with respect to the total in brackets. Intra-and inter-rater reliability were calculated to assess the accuracy of the IFITS evaluation by video analysis. * p < 0.05 vs. CLP by post-hoc analysis with Bonferroni's correction after one-way ANOVA was performed between NLP, VLP, and CLP.

Training
Experimental and control groups participated in their regular PE classes as follows.

Nonlinear Pedagogy
The NLP group was taught using a nonlinear approach following the "divergent and convergent guided discovery style" by Mosston and Ashworth [42] based on the dynamic ecological theory of motor learning [54]. Several features composing the specific topic of each lesson were simultaneously selected and experienced based on practice variations and randomization. Pre-requirements and not specific motor models for acro-sport and team sports skills rotated every ten to fifteen minutes. The attention to the skills was indirect, multitasked, distributed, targeted, and adapted. Changes to the environment, task, and organism constraints were made rather than to the technical execution of a defined movement model [54]. Therefore, the students were indirectly encouraged to use a varied practice, including reasoning and knowledge of their self-adaptation ability, to address the managed affordances (Table 2).

Varied Linear Pedagogy
The VLP group was taught differently using a reproductive teaching approach, corresponding to the "self-check" and "reciprocal" styles of the spectrum of the teaching styles by Mosston and Ashworth [42]. It was based on cognitive theory principles with varied practice. Team sports basics and acro-sports were subdivided into tasks experienced in varied block practice (using a monotasking approach). After being instructed by the teacher through detailed instructions and direct demonstrations, the students were asked to reproduce and practice each task in pairs, switching the roles of executor and observer every ten minutes. The teacher controlled and provided support, suggestions, examples, analyses of errors, and stimuli to self-correct the performance through contrasting practice (requiring right and wrong actions). Again, attention was focused on the task-specific technical execution.
Therefore, the varied practice of VLP was mainly based on observation, comprehension, reproduction of reference models, and perception of one's own body through contrasting situations that stimulate the kinesthetic sense ( Table 2).

Constant Linear Pedagogy (Control Group)
The CLP group, acting as a control for the frequent use of the constant linear pedagogy in schools, underwent standard PE lessons promoting team and acro-sports. CLP was taught by the ordinary PE class teachers, who previously declared to follow a consistent linear pedagogy approach with their students. No requirements were made regarding his/her teaching approach, and no guidelines were given to him/her about how to address the learners' attention. However, the lessons were video recorded and subsequently inspected to ensure, as the analysis confirmed, that the adopted teaching styles did not resemble VLP or NLP approaches (Table 3).

Statistical Analysis
Data are shown as mean ± standard deviations. A Shapiro-Wilk test checked the normal distribution. A one-way analysis of variance (ANOVA) was utilized to check the potential differences between practice/teaching approaches at the baseline (pre). No significant differences were observed between varied and constant practice (using the Student's unpaired t-test) and between the three teaching approaches (using the analysis of variance-ANOVA) in the baseline (pre). To test whether the inhibitory control and simple reaction time were influenced by the practice/pedagogy used by the teachers during the PE period, we used two-factor ANOVA (i.e., time, practice/pedagogy) with repeated measurements of one factor (time) (two-way ANOVA RM). In case of significant interaction, Bonferroni's correction was used post-hoc for pairwise comparisons. To better interpret and discuss the results, effect sizes (ESs, as Cohen's d values) were calculated for the magnitude of the over-time changes (pre-post). The corresponding ES thresholds for trivial, small, moderate, and large effects were classified as <0.2, 0.2 to 0.5, 0.5 to 0.8, and >0.8, respectively. A further analysis was carried out to test potential differences subsequent to teaching practice and pedagogy. Therefore, we decided to proceed with the analysis by considering the changes after intervention with respect to before (delta, post-pre) as more directly representing the outcomes of the interventions. The Student's unpaired t test was used to compare the deltas of varied and constant practice approaches. The one-way ANOVA, or the corresponding non-parametric test (Kruskal-Wallis), was used to compare the deltas of NLP, VLP, and CLP. In case of significance, a Tukey's post hoc analysis (or Dunn's multiple comparisons test, in case of non-parametric data) was used for pairwise comparisons. The level of significance was set at an α level < 0.05. Statistical analysis was performed using GraphPad Prism version 7.00 for Windows (GraphPad Software, San Diego, CA, USA).       Comparing the pre-post variations (deltas) in the response time for the flanker task between each teaching approach Figure 4B,D, no significant difference was found for the congruent condition (p = 0.066, F(2, 80) = 2.80), whereas a significant difference was found for the incongruent condition for the flanker task (p = 0.042, F(2, 80) = 3.28). Specifically, VLP differed significantly from CLP, confirming the positive effects of this teaching method (p = 0.044), whereas no significant differences were found between NLP and VLP (p = 0.86) or CLP (p = 0.14). Table 5 shows mean ± SD of the response accuracy of the congruent and incongruent condition for the flanker task before and after the 12 weeks of intervention, with delta values for each teaching approach, together with p-values and Cohen's d values, derived from the pairwise comparisons. The clinical reaction time for each teaching approach is presented in Figure 5. No significant interaction (time x practice) was  Figure 4A,C shows mean ± SD of the response time of the congruent and incongruent condition of the Flanker task before and after the 12 weeks of intervention, for each teaching approach. The two-way ANOVA RM revealed a significant interaction (time × practice) for the response time of the incongruent condition (p = 0.018; F (2, 80) = 4.19) of the flanker task, whereas for the congruent condition, the interaction was not significant (p = 0.066; F (2, 80) = 2.80). The main effects of time and group were not significant for both the congruent (p = 0.14; F (2, 80) = 2.20; p > 0.99; F (2, 80) < 1) and incongruent condition (p = 0.07; F ( Figure 4B,D, no significant difference was found for the congruent condition (p = 0.066, F (2, 80) = 2.80), whereas a significant difference was found for the incongruent condition for the flanker task (p = 0.042, F (2, 80) = 3.28). Specifically, VLP differed significantly from CLP, confirming the positive effects of this teaching method (p = 0.044), whereas no significant differences were found between NLP and VLP (p = 0.86) or CLP (p = 0.14). Table 5 shows mean ± SD of the response accuracy of the congruent and incongruent condition for the flanker task before and after the 12 weeks of intervention, with delta values for each teaching approach, together with p-values and Cohen's d values, derived from the pairwise comparisons. The clinical reaction time for each teaching approach is presented in Figure 5

Discussion
To investigate the role of type of practice and teaching approach on cognitive improvements related to PE, we tested inhibitory control and reaction time in preadolescents before and after a 12-weeks PE period taught using different teaching approaches (e.g., the varied practice of linear and nonlinear pedagogy and constant practice of linear pedagogy). Varied and constant practices induced different outcomes in the flanker task for inhibitory control and response time.
Two notable results were reported in this study. First, 12-weeks of PE based on varied practice induced superior benefits on inhibitory control (response time and accuracy of the flanker task) compared to constant practice. Second, VLP provided greater improvements in inhibitory control (response time of the incongruent condition of the flanker task), compared to NLP and CLP, which showed no significant changes.
Together, these results showed that varied practice, characterizing both NLP and VLP, showed greater improvements in inhibitory control than CLP. Contextual interference literature showed that diversification of the proposals allows a greater motor program elaboration [55] and a better stimulation of executive functions, with a better transfer capacity related to inhibition/self-regulation [56], as shown in our study. Furthermore, reflection time was higher in NLP and VLP than in CLP (Table 3). Reflexive approaches of NLP and VLP stimulated metacognitive processes and greater awareness, which led to a better transfer in cognition [57].
On the other hand, the time in action in VLP and NLP was lower than in CLP. We can assume that the better results in inhibitory control in VLP are due to the quality of reflection and the cognitive processes activated through a reflexive practice, not for the quantity of practice [57,58].
Thus, varied practice within a nonlinear approach encourages new arrangements and increases the ability to adapt the learning outcomes to different situations [59]. This approach relates to an incorporate cognition view [25], in which brain activation [60] and cognition depend on action, and it is founded on perception-motor interaction [26]. Linear pedagogy assumptions of VLP are different from those of NLP and consider variations to solve errors through contrasting situations stimulating the kinesthetic sense. In fact, situational difficulties raise efforts to address the requests, favoring body awareness and enhancing transfer learning [61][62][63]. Teachers who use this approach encourage students

Discussion
To investigate the role of type of practice and teaching approach on cognitive improvements related to PE, we tested inhibitory control and reaction time in preadolescents before and after a 12-weeks PE period taught using different teaching approaches (e.g., the varied practice of linear and nonlinear pedagogy and constant practice of linear pedagogy). Varied and constant practices induced different outcomes in the flanker task for inhibitory control and response time.
Two notable results were reported in this study. First, 12-weeks of PE based on varied practice induced superior benefits on inhibitory control (response time and accuracy of the flanker task) compared to constant practice. Second, VLP provided greater improvements in inhibitory control (response time of the incongruent condition of the flanker task), compared to NLP and CLP, which showed no significant changes.
Together, these results showed that varied practice, characterizing both NLP and VLP, showed greater improvements in inhibitory control than CLP. Contextual interference literature showed that diversification of the proposals allows a greater motor program elaboration [55] and a better stimulation of executive functions, with a better transfer capacity related to inhibition/self-regulation [56], as shown in our study. Furthermore, reflection time was higher in NLP and VLP than in CLP (Table 3). Reflexive approaches of NLP and VLP stimulated metacognitive processes and greater awareness, which led to a better transfer in cognition [57].
On the other hand, the time in action in VLP and NLP was lower than in CLP. We can assume that the better results in inhibitory control in VLP are due to the quality of reflection and the cognitive processes activated through a reflexive practice, not for the quantity of practice [57,58].
Thus, varied practice within a nonlinear approach encourages new arrangements and increases the ability to adapt the learning outcomes to different situations [59]. This approach relates to an incorporate cognition view [25], in which brain activation [60] and cognition depend on action, and it is founded on perception-motor interaction [26]. Linear pedagogy assumptions of VLP are different from those of NLP and consider variations to solve errors through contrasting situations stimulating the kinesthetic sense. In fact, situational difficulties raise efforts to address the requests, favoring body awareness and enhancing transfer learning [61][62][63]. Teachers who use this approach encourage students to overcome difficulties by focusing their attention on relevant fundamentals for success and inhibiting their intuitive, quick, and less-reasoned responses [61].
Moreover, in contrast with a constant practice of the CLP protocol, approaches based on variations allow the learner to self-evaluate tasks and plan outcomes [64]. The fact that a varied practice of our protocol has improved performance in the flanker task supports that pondering and reflecting, by stimulating proficiency and motor creativity, can speed up the learning process and improve executive functions, such as inhibition [65]. Therefore, frequent assessments and learning strategies based on context design and environmental changes are suggested to overcome the comfort zone (typical of constant practice), thus better promoting learning and supporting cognitive development.
The results of our study are based on the fact that qualitative, non-automatic demands activate the same regions of the brain that are used to control other cognitive aspects. The alert attentiveness created by variations and active involvement, based on the situations proposed, activate the reactivity and vigilance of the cortex [10,66]. We also tested whether a linear pedagogy induced more benefits than nonlinear pedagogy within the varied practice approach. The literature returns contrasting results, both supporting linear or nonlinear pedagogy [27,28,59]. The latter promotes motor learning through benefits from embedded attentiveness and concentration enhancement, integrating perception and action [67]. The NLP protocol (Table 2 and Appendix A) was based on the ecological dynamics theory [38]. Conversely, the monotasking approach of VLP had superior learning effects because of the prefrontal cortex activation, which reduced errors by focusing attentiveness on a single task [68]. Indeed, when looking at the pre-post comparisons, NLP showed a similar trend to VLP, albeit not significant (p = 0.11, d = 0.28, small), while CLP demonstrated a clear opposite trend (see the delta comparisons in Figure 4). These considerations may support the nonlinear pedagogy approach for cognitive improvement. However, VLP improved inhibitory control compared to NLP and CLP (Figure 4), which suggests that the VLP approach seems to be the most effective method for cognitive development in response to PE.
Referring to the results, active learning, based on students' autonomy and accurately guided by the teacher (VLP), is the most efficient approach in cognitive transfer situations for 12-13 years old children. Curiosity is the key element that determined a better attentiveness and executive functions in VLP approach. Curiosity refers to what the children think is useful to learn. In the same way that an activity that is too repetitive is not attractive, neither is a practice that is too confusing [69] or little related to specific goals.
The error plays a fundamental role in VLP. In fact, the brain can compare what has been predicted through the motor program and the outcome. Mental representation can be revised by referring to the prediction error [69]. When a prediction error occurs, it engenders surprise in the performer because of a violation of his expectations [70]. This would support specific psycho-emotional and cognitive processes indispensable for a learning transfer.
It is interesting to note that clinical reaction time was the only variable not affected by the different types of practice and teaching approaches. An explanation for the lack of improvement in the clinical reaction time can be related to the fact that this test assesses simple reaction time. There is evidence showing that physical activity is related to cognitive performance requiring a high level of attentional control in a complex reaction time task (i.e., incongruent conditions with flanking information) [71] more than in a simple reaction time task (such as clinical reaction time). Moreover, according to Posner [21], rapid hand reaction movement improvements would have been expected. It is plausible that more than 12 weeks of varied intervention training are necessary to integrate elaborative processes with neuromotor actions and then to discriminate improvements in this type of reaction time.
Some limitations should be acknowledged. The NLP approach was based on prerequirements and not on specific motor models. Therefore, no motor tests were chosen for assessing acro-sports and team sport game competencies to compare the different pedagogies in which learning processes were centered. Further investigation on tasks, ages, sex, and expertise are needed to examine the effect of variability on transfer.

Practical Applications and Sustainability
Based on the results, PE teachers should provide lessons featuring learning based on reflection and varied practice. In particular, the learning should be characterized by: (a) the explanation of the usefulness and aims of the exercise; (b) the use of appropriate integrated methodology such as problem-solving, guided discovery, self-check, and reciprocal methods. These approaches can precede, be simultaneous with, or follow the practice and can be proposed before, during, or after the activity [72]. They could represent a concrete method to educate students to fit into present society.
The increasing complexity of modern society, the continuous innovations, and the consequent socio-cultural changes require quality teaching to guarantee the social utility of the learning [73,74]. The need for sustainable and quality teaching deals with the purpose highlighted by the 2030 Agenda of Sustainable Development Goals of the United Nations [75]. Among the various points covered, the document evidences the need to "ensure that all learners acquire the knowledge and skills needed to promote sustainable development, including, among others, through education for sustainable development and sustainable lifestyles" [75].
Hence, in PE, sustainable and quality teaching should satisfy the broader need for the flexible adaptation to different contexts, promoting and developing social usefulness, and a lifetime of "good practices" pursuing long-term physical literacy [76]. In learning processes, teaching styles such as problem-solving, reciprocal, self-check, and inclusion methods could be helpful to promote engagement through active reflection and encouraging students to explore different and new solutions [77], gradually inducing them to interact with and fit into a constantly changing society.

Conclusions
The present study revealed that 12 weeks of PE based on varied practice improved inhibitory control more than did constant practice. The current findings also showed how a VLP better improved inhibitory control than either NLP or CLP. From a practical perspective, NLP and VLP may be preferable approaches for enhancing executive functions in preadolescents. However, VLP seems to be the most effective approach within PE classes aimed to improve cognition. Promoting PE lessons based on VLP might contribute to fostering targeted and individualized learning strategies, interdisciplinarity, metacognition (self-perception skills), and intrinsic motivation in school-age individuals.

Institutional Review Board Statement:
The study was conducted in accordance with the Declaration of Helsinki and approved by the Ethics Committee of the Università degli Studi di Milano (protocol code 2/12).

Informed Consent Statement:
Informed consent was obtained from all subjects involved in the study.

Data Availability Statement:
The data presented in this study are available on request from the first author.

Conflicts of Interest:
The authors declare no conflict of interest.
Appendix A   Table A1. Examples of contents and methods of activities by the pedagogies used.

NLP VLP CLP
No specific training on movement structure. Stimulation of functional aspects over constraints redirecting to the skills and abilities to be acquired.
Specific training addressing the movement's internal structure for learning sports basics.
Specific training addressing the movement's external structure for learning sports basics.
The teacher acts as a designer, organizes the affordances, and promotes actions by adequately setting the environmental constraints.
The teacher provides specific solutions to achieve success gradually and progressively through executive approximations, contrasts, and comparisons.
The teacher promotes segmented exercises of increasing difficulty that learners have to perform to manage the targeted skills properly.
The pedagogic fundamentals are perceiving, processing, and acting by selecting what and how to do a task.
Watching, judging, suggesting, and perceiving are the pedagogic fundamentals to master the movement, based on the internal processes of the central nervous system.
The primary educational feature is repeating the examples from the teacher many times to memorize and automatize the executions.
The teacher arranges varied environmental settings to arouse and produce adequate constraints to stimulate the functions connected to the specific targets. For example, a practice set to learn different positions and ways to manage balance relies on mats and benches. Object arrangements provide locomotory schema (climbing, passing, rolling, doing slalom, jumping) and object control (hitting, leading, throwing, catching). Eye patches or masks partially or completely limiting the vision is another example of an organismic constraint the teacher uses to force the learners' self-adaptations. Further constraints involving tasks are considered: assignments to the primary running skill are added (i.e., counting, summing, spelling a word, combining different movements, making associations as kicking with the right leg when an animal is named, or left when a plant name is called).
The teacher provides the executive model, organizes the learners in pairs, gives them individual self-evaluation sheets to detect the key points of the required techniques, the errors, and the necessary correction process. Kinesthetic information and the body's proprioception is favored by an experiential approach, based on executive contrasts and perceiving the experienced task's effectiveness. After practice, the teacher promotes group analyses and comments on each pair's work.
The teacher provides a simplified task of the target movement that the learners have to repeat until learning occurs. Then, the teacher offers frequent technical, general, and individualized feedback to guarantee the task's error solution and correct execution. Once most of the learners have had success, the next step is proposed, possessing increased difficulty. This process recurs until the target skill is properly achieved.