Traditional learning approaches are typically based on a linear understanding of causality where the same cause leads to the same effect. In recent years there has been increasing interest in the complexity of nature and living phenomena, with significant insights provided by models of change that are based on a nonlinear understanding of causality, where small causes can lead to big effects and vice versa. In this vein, learning processes seem to be more successful for inducing behavioral change when teaching processes deviate from a linear approach. The differential learning approach takes advantage of fluctuations in a complex system by increasing them through 'no repetition' and 'constantly changing movement tasks' which add stochastic perturbations. Previous research has provided much evidence on the superiority of a differential learning approach for learning single movement techniques, in comparison to repetition-and correctionoriented approaches. In this pilot study, the parallel acquisition and learning of two movement techniques in the sport of football are the objective of investigation. One traditionally trained group and two differentially trained groups (blocked and random) trained for 4 weeks, twice a week, on ball control and shooting at goal tasks. Results supported previous work and revealed significant advantages for both differential groups in the acquisition phase as well as in the learning phase, compared to the traditional group. These data suggest that, instead of following a direct linear path towards the target of a 'to-be-learned' movement technique by means of numerous repetitions and corrections, a differential approach is more beneficial because it perturbs learners towards more functional movement patterns during practice.Keywords: Differential Learning, complex systems, fluctuations, football, movement variability.
INTRODUCTIONTraditional models of learning have recently been questioned because of their principles that all learners typically start with the same exercise followed by other identical teaching exercises in order to build up a methodical sequence of exercises followed by all students in order to achieve stipulated learning goals [1]. A similar logic underpins the interpretation of traditional pedagogical principles that all learners need to progress "from easy to hard" or "from simple to complex" exercises. In principle this logic implies the understanding of linear causality as fundamental basis for a linear pedagogy. In a weak version of this approach to learning, linear causality assumes that same causes will lead to same effects. In the strong version (because much more mathematical conditions have to be fulfilled) similar causes will lead to similar effects. In reality these assumptions are associated with models of linear equations in which the result is just a sum of weighted parameters of influence. In practice this approach is accompanied by the breaking up of a sports movement into certain phases or anatomical focuses that are all trained separately...