Simply staying upright is, in some ways, a full-body exercise. You have fluid-filled “organs of balance” in your inner ear that monitor the position and rotation of your head; and there are sensors known as proprioceptors in muscles and tendons throughout your body that detect subtle stretches and deformations. Your feet alone contain 11 small stretch-sensing muscles: No matter how many calf raises you do in the gym, your balance won’t be stable unless your brain is attuned to the signals from these sensors. Even wearing socks interferes with this subtle feedback and worsens your balance.

Walking is trickier still, since each step is essentially a controlled fall. Last year, researchers from Ohio State University showed that they could predict with accuracy where a walker’s foot would land by looking only at the trajectory of the upper body during the previous stride. What seems like a simple act, in other words, is actually a complex and near-instantaneous calculation that enables you to place your foot in exactly the right spot to prevent a faceplant.

The current approach to this challenge is to add an additional box to check off: balance training. United States health guidelines already suggest balance training for older adults at risk of falls, and European countries like Austria, Ireland and Denmark recommend it for all older adults.

A step in the right direction, you might say, but it still presents balance as an isolated practice. The evidence is that a more integrated approach has greater benefits.

For an older adult who wants to continue living independently, it’s clear that the ability to rise from a chair and walk across the room, which requires the coordination of muscle strength, balance and aerobic activity, is more important than any individual element of fitness. And it’s not just a physical challenge. One key warning that you’re at higher risk of falling is if you tend to stop walking when you talk — a sign that the cognitive demands of staying on your feet are overloading your brain.

An emerging body of research suggests that exercising in a way that taxes your coordination, agility and balance — a suite of abilities known as “gross motor skills” — rewires your brain in ways that are fundamentally different from straightforward aerobic activity or strength training. By improving these physical attributes, you also enhance cognitive performance.

One such study, published in 2011 by neuroscientists from Jacobs University Bremen in Germany, involved a yearlong trial of 44 older adults that compared the effects of walking three times a week with what they called “coordination training”: a series of exercises using stability boards, balls, jump ropes and other equipment, and including elements like “reaction to moving objects/persons.”

Superficially, the two regimens were equally good: Compared to a control group that did stretching and relaxation exercises, both groups boosted their performance to a similar degree on cognitive tests, including measures of perceptual speed and executive control. (Other studies have produced similar findings using a range of coordination and balance exercises like obstacle courses, tossing balls into baskets and learning to juggle.)

But what’s interesting is that the cognitive gains occur in different ways depending on the mode of exercise. While aerobic exercise and strength training trigger brain chemicals that enhance neuron growth and survival, balance and coordination call on higher-level cognitive processes that seem to increase the number of synapses connecting the neurons.

That, in turn, suggests another reason simple balance exercises alone won’t achieve what we want. It is novelty and unpredictability, rather than repetition, that are essential to keep your brain engaged. A recent study by researchers in Denmark, Finland and Germany compared a group of 15 endurance-trained athletes, like runners and cross-country skiers, with a group of skill-trained dancers, gymnasts and figure skaters. The researchers captured data to assess their subjects’ “motor cortex plasticity,” a measure of the brain’s ability to change its wiring in response to new stimuli.

Both types of athletes have highly trained calf muscles, but endurance athletes use them repetitiously, in a way that the brain consigns to autopilot. Sure enough, plasticity in the area of the brain that controls calf muscles was no different between endurance athletes and nonathletes. In contrast, the dancers, gymnasts and skaters, for whom autopilot is not an option, showed dramatically higher plasticity: Their neurons were primed to keep learning new motor tasks.

A striking feature of the balance and coordination exercises used in these cognitive studies is that they sound a lot like games. Whether you’re dancing or playing tennis, the unpredictability of your partner’s actions means that no two workouts are the same. Perhaps the enjoyment we get from a good game isn’t just a nice bonus: It’s an indicator that we’re fully engaged, mind and body, in the activity. You could call that achieving good balance.