As far as I have been able to determine, in general, psychologists in the U.S. operate on the belief that blood flow, neuron development and other biological outcomes of increased blood flow to the brain explain why exercise is linked to higher academic performance/intelligence. Yet embodied cognition goes further, not denying the effects of blood flow, rather emphasizing the role of receptors throughout the body that utilize sensations from one's immediate physical environment to learn about the world, and possibly far more.