Every STEM student is familiar with the feeling you get staring at a problem set or a block of code and just being stuck. Often, the instinct is to push harder and try the same method one more time. Yet, research shows that this approach isn’t always optimal. It turns out resilience has less to do with grit and more to do with knowing when to adapt.
What’s Happening in Your Brain When You Get Something Wrong
Mistakes tend to feel bad, which is why many people try to avoid them. It’s important to be aware that your brain treats errors as information, not just failure.
Researchers studying how students respond to mistakes have found that people with a growth mindset — the belief that ability can improve with effort — show measurably stronger brain responses right after making an error. Those responses are linked to better performance on the next attempt. This means that paying close attention to a mistake, rather than brushing it aside, is part of what helps you improve.
In other words, the difference between a mistake that teaches you something and one that just leaves you frustrated comes down to what you do in the seconds and minutes after it happens.
Understanding What Productive Struggle Looks Like
Researchers studying math learning have found that students who attempt to solve a problem before being taught the concept, even when they get it wrong, often end up with a deeper understanding than students who are taught the method first, as long as students actively generate different ideas rather than giving up or guessing randomly. Trying multiple attempts, even flawed ones, helps build the understanding that locks instruction into place.
This revelation is valuable for anyone staring at a problem right now. Productive struggle can look like trying a new angle or testing a different formula, while unproductive struggle looks more like staring at the same equation for 20 minutes and rereading it without changing anything about your approach.
A Framework for Deciding What To Do Next
When a problem has you stuck, asking yourself a few key questions can be more helpful than blindly pushing forward.
First, ask yourself if you’ve tried more than one approach. If you’ve attempted the same method two or three times and nothing has changed, repeating it again rarely helps. This could be the moment to switch strategies entirely.
Then consider whether you truly understand why something is wrong or not working. If a teacher marked an answer incorrect but you can’t explain what went wrong, more independent effort probably won’t fix it. This is a sign to ask the teacher or a student who got it right for feedback, rather than trying to guess your way to the right answer.
Finally, reflect on whether this problem traces back to something you never fully understood. Sometimes, what looks like a calculus problem could be an algebra problem wearing a calculus costume. If you keep hitting the same wall on a specific step, that’s usually a sign to go back and revisit the earlier concept.
What This Approach Looks Like in a STEM Class
If you’re stuck on a quadratic equation that won’t factor cleanly, trying the same factoring method five times in a row is an unproductive struggle. Switching to the quadratic formula, or sketching the parabola to sanity check the answer, is a productive struggle, because it generates new information rather than repeating the same dead end.
The same pattern shows up in chemistry when a chemical equation refuses to balance and a student keeps adjusting the same coefficient over and over. It even shows up in coding, when a program keeps throwing the same error and the fix isn’t more guessing but properly reading the error message for the first time. In every case, the best path forward is to change the approach, ask someone what you’re missing, or go back to a concept that didn’t fully stick.
The Power of Treating Failure Like Information
The ability to make mistakes fearlessly is highly effective for fostering growth and improvement. Students who build the habit of pausing after a mistake to ask what it’s telling them are setting themselves up for better recovery, compared to students who treat every wrong answer as proof they’re bad at the subject.
Research on self-regulated learning shows that students benefit when they learn to set goals, monitor their progress and adjust their strategies instead of treating effort alone as the solution.
This monitoring step, the pause to ask whether or not an approach is working, is often the difference between a stuck student and one who keeps pushing forward.
Resilience Is a Skill
Getting unstuck on a hard STEM problem rarely comes down to sheer willpower. It comes down to recognizing the kind of stuck you’re in and responding with the right move. Resilience is a skill that can be practiced like any other, and every hard problem this year is a chance to practice it.
