At the center of every significant innovation is always an idea. Clarence Birdseye's idea about freezing fish revolutionized the food industry and American diets. Charles Schwab's idea about flat commissions changed investing forever. Steve Jobs's idea about creating a device that could hold 1,000 songs in your pocket turned around Apple's fortunes.

Yet we shouldn't confuse a great idea with where it came from. Truly useful ideas don't arise from out of the ether or through fancy techniques like brainstorming or divergent thinking. The best ideas come in response to an important problem and thrive under constraints.

In researching my book, Mapping Innovation, I found that the most innovative firms aren't necessarily any more creative or even better at solving problems than most. Rather, what set them apart was how they aggressively sought out new problems to solve. The truth is that if you want to create a truly innovative culture, it isn't ideas you should glorify, but problems.

A young boy's dream

As a boy, Albert Einstein liked to imagine what it would be like to ride on a bolt of lightning. In many ways, it was a typical childhood fantasy. If he had been born in another time, you could imagine him learning to speak Klingon or becoming immersed in the lore of the Jedi. Yet Einstein took the idea so seriously that it became the first of his famous thought experiments.

As he grew older and began to study physics, he learned that according to Maxwell's equations, the speed of light was supposed to be constant, but according to Newton's laws, if a boy riding at the speed of light shined a light forward, then the beam would travel at twice the speed of light.

Clearly, both couldn't be true. Either the speed of light was relative to absolute time and space or the inverse was true. As we now know, Einstein proved that the speed of light was absolute and that time and space were relative quantities. In other words, an inch is an inch and a minute is a minute only in relation to a specific context.

This seems incredible because it's so alien to our everyday experience, but today it's easily proved. Simply get in your car, turn on the navigation system and follow its directions. GPS satellites are calibrated according to Einstein's equations, so if you get to where you want to go, you have, in a certain sense, proved the theory of relativity.

What's interesting about Einstein's theory is that he didn't discover it in the same sense that Columbus "discovered" America. He didn't uncover a single fact that wasn't known to every working physicist at the time. His genius was to see a problem where nobody else realized that one existed.

A new era, new challenges

Every age comes with its own unique problems. For the past 20 or 30 years, we've mostly been occupied with finding new applications for technologies built in the 1950s and '60s, like microchips, relational databases, and the internet. That effort spawned entirely new industries, such as personal computers, enterprise software, and e-commerce.

Yet today, many of those old paradigms are running out of steam. Moore's Law is slowing down and will soon grind to a halt, open software has created the need for updated database structures, and the internet has been shown to be dangerously insecure. Solving each of these problems will create fantastic new opportunities.

Consider the case of quantum computing, which has the potential to be millions of times more powerful than current technology. A full-scale commercial version is probably still five to 10 years away but is already being tested in areas as diverse as medicine, financial services, and artificial intelligence.

It will also create enormous problems to be solved. For example, it will render current encryption technologies obsolete, so business will have to invest in quantum safe encryption. Because quantum computers work fundamentally differently than classical ones, new computer languages and software protocols will need to be devised.

And that's just one example. Take a look at the Gartner Hype Cycle and you will find dozens of emerging technologies that will have an impact over the next decade. Each one comes with its own problems to solve and each of those problems represents new business opportunities. In some cases, entirely new industries will be created.

Identifying new problems

Anyone who takes even a casual look at the future can't help but be bewildered. These days, even teenagers can build websites and smartphone apps, but highly trained specialists struggle to understand the implications of emerging technologies like genomics, nanotechnology, and robotics. That presents a dilemma for business leaders: How can you plan for a future you can't predict?

The simple answer is you can't and you shouldn't even try. Technology today moves so fast -- and in so many directions -- that those who think they can truly see the future are just fooling themselves. But what you can do is uncover problems related to your business, your customers, and new emerging markets.

That's one thing that truly great innovators do differently. They constantly seek out new problems. IBM routinely sets up grand challenges, like beating humans at Jeopardy. Experian set up its DataLabs unit to identify problems its customers are having that they can turn into new businesses. Google's "20 percent time" policy acts as a human-powered search engine for valuable problems.

The truth is that it's more important to explore than to predict. To create anything that is truly pathbreaking, you need to look for it in new places.

Moving from strategic planning to innovation planning

Management in the 20th century was, in large part, the art of strategic planning. You gathered information about markets, competitors, and other trends and then planned accordingly. Strategy was like a game of chess. You planned each move in response to a changing board and in anticipation of a competitor's moves.

Yet today, technology cycles move faster than planning cycles ever could, so we need to take a more Bayesian approach to strategy. Instead of trying to get every move right -- which is impossible in today's environment -- we need to try to become less wrong over time. Essentially, we need to treat strategy like a role playing game, taking quests that earn us experience and artifacts along the way.

That means that we will need to plan differently. In addition to strategic planning, or planning based on things we know or think we know, we need to start innovation planning, or planning based on things we need to learn to solve new and important problems. That's how you quest. You don't plan the journey as much as you prepare for it.

And that's what makes ideas like those of Birdseye, Schwab, and Jobs so great. They solved important problems that people cared about. So if you want to innovate, don't look for a great idea. Look for a good problem.