When Problem Solving Skills Aren’t Enough 

Too often, we treat conflicts like problems. It might be smarter to first ask a more fundamental question: Is this a problem or a polarity?

It’s human nature to view dilemmas as binary, either-or choices. We all tend to oversimplify complex things into two competing ideologies. This can be useful because it helps us solve problems and move on to the next problem to be solved. It makes us feel productive. But it can make us think we should pick a side when picking a side is not wise. It also becomes an issue when we try to solve them—calling these things ‘problems’ implies there is one single correct answer somewhere. But there often isn’t, and that’s a problem when it takes us too long to realize it.

Do any of these tensions sound familiar?

When faced with these tensions, most teams and organizations rush to determine the best or right answer. It might be smarter to first ask a more fundamental question: Is this a problem or a polarity? Too often, we treat conflicts like those listed above as problems to be solved when, in reality, they are polarities to be navigated.

Problems vs. Polarities

A problem is something that can have a right — or best — answer. A solution exists. If we’re deciding between two incompatible tech stacks, this is a problem to be solved. We do our analysis. Weigh the pros and cons, determine which is the best choice, all things considered, and then commit. Problem solved.

This approach is fine if there truly is a decision to be made.

But, when we level this same problem-solving mindset toward things that needn’t be or can’t really be solved, frustration follows. “Should we focus on speed or quality?” Yes, we should focus on both of these things. That is the honest answer. But it doesn’t feel resolved. That’s because these aren’t resolvable problems at all. These are polarities – dilemmas that are ongoing and unsolvable even though they contain seemingly opposing ideas.

Problems offer two ideas that are directly opposed and in conflict. Polarities offer two ideas that are complementary and interdependent. Problems push an either/or mindset. Polarities push a both/and mindset.

Here’s the rub: Polarities are not a problem to be solved, but rather a paradox to be balanced. Sometimes analogies help. Here’s one I borrowed from an instructor at Northwestern’s Family Business Center:

“Think of it like breathing. Breathing isn’t a choice between inhaling or exhaling. If you inhale to the exclusion of exhaling, the negative results show up quickly. And the reverse is also true. The polarity approach says we must both inhale and exhale.”

Finding Balance

What if we had a tool that facilitated good conversations and healthy debate about these complex tensions proactively rather than reactively? Where the goal isn’t a decision but recognition and alignment on more informed actions? The answer to a question like ‘Should we focus on speed or quality?’ could simply be ‘yes’, and it’s really a question of how we should achieve the right balance.

Created by Barry Johnson, PhD, Polarity Mapping is a strategic and visual framework designed to help individuals or teams manage polarities— interdependent pairs of opposites—rather than solve problems with a single solution. It is particularly useful for addressing challenges that involve balancing competing yet complementary forces, such as innovation versus risk management, and can help a team align on a wiser path forward. I was first exposed to the tool at The Center for Creative Leadership in the early 1990s and I’ve used it numerous times since to achieve win-win solutions that lead to improved results.

Introducing, the Polarity Map

Polarity Map

On the surface, it looks like a simple “pros/cons” matrix. But, as with most things, the devil is in the details. First, this little loop below is vital. It shows how we are constantly moving between these four quadrants.

Second, the language we use matters. While we are assessing two poles, we are not evaluating the pros and cons. Rather, the Benefits and Unintended Consequences.

The Tool in Action

Steps to Create a Polarity Map

  1. Define the challenge and identify interdependent polarities.
  2. Name the poles neutrally to avoid bias.
  3. Brainstorm benefits (upper quadrants) and negative or unintended consequences (lower quadrants) for each pole.
  4. Establish “what we want” or a “greater purpose” that reflects the benefits of balancing both poles.
  5. Identify “what we don’t want” or “deeper fears” that arise from imbalance.
  6. Develop action steps to maintain balance while monitoring early warning indicators.

For our explanation, let’s use the tension of “planning” vs. “building” a new software app.

How do we move between these tensions?

Suppose we decide to double down on “learning”. We have good reasons:

This is all well and good until months later when our zealous focus on “learning” has led to some unintended consequences:

So, what do we do? We swing to the other extreme! We double down on jumping into building. At first, things go great.

But then…

We didn’t intend for any of these things to happen. And so, the pendulum swings back to the other extreme. Most of the folks who would remember the previous extreme have moved on, so we keep making the same mistakes without learning.

And on it goes.

How do we move between these tensions?

Polarity Map

Polarity Mapping enables us to explore all these issues and concerns in an afternoon, setting teams up to work together with a shared sensitivity to all these issues. It’s well worth the time investment. It’s what Steven Covey prescribed in his book, The 7 Habits of Highly Effective People – “Seek First to Understand.” You get the benefit of discussing all these tensions upfront before living through them.

The goal isn’t a decision but rather a recognition of the simultaneous Benefits and Unintended Consequences of the paradox at hand. Polarity Mapping is a tool to help team members with different — and perhaps even competing — perspectives see a more holistic view of a paradox and achieve reconciliation on the wisest path forward before taking action.

The principles of Polarity Mapping align well with win-win negotiating as described by Covey in his seminal book.

While I’ve focused on mapping the Benefits and Unintended Consequences of two polarities, there is more to this tool — and it’s critical because it turns discussion and debate into action. Once you’ve identified all the benefits and unintended consequences, you can move into the margins to address:

  1. What are the Action Steps to gain or maintain these Benefits?
  2. What are the Early Warnings of Unintended Consequences?
Polarity Map

Now, we’ve proactively aligned the team or organization on an intentional path forward, where all voices have been heard and considered in the plan. We have a solid plan to navigate the polarity with confidence and the teamwork needed to win!

As I mentioned earlier, I’ve used this approach for many years to help the teams I led, as well as several clients, resolve disagreements that had been holding them back from achieving their full potential. For example:

Over the years, I’ve found that one of the most important traits separating great leaders from good ones is their ability to navigate ambiguity.

As leaders rise through the ranks, the nature of their challenges shifts— from straightforward problems with clear answers to nuanced dilemmas that require balance, not resolution.

That’s where Polarity Mapping proves invaluable. When used well, it transforms recurring friction into forward momentum—not by choosing one side over the other, but by building shared understanding and a clearer path ahead.

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Jude Rake

About the Author

Jude Rake is the founding principal of JDR Growth Partners, a consulting firm that helps family-owned businesses, boards, chief executives, and their leadership teams achieve improved results and sustainable growth. Before founding JDR, Jude served in multiple C-level roles including CEO for fifteen years. Jude is also the author of The Bridge to Growth: How Servant Leaders Achieve Better Results and Why It Matters Now More Than Ever.

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