How to explain a concept multiple ways.

Don’t just repeat it louder

When an explanation doesn’t land, the instinct is to say it again, slower and louder. But if the first path didn’t reach the student, the same path won’t either — you need a different route. The best tutors have several ways to explain everything they teach, and they switch approaches instead of repeating themselves.

Change the representation

Concepts can be shown in words, pictures, numbers, examples, and physical objects — and different students click with different ones. If a verbal explanation fails, draw it; if the diagram fails, use a concrete example or manipulative. Offering the same idea in a new form is often all it takes for it to suddenly make sense.

Use analogies and real examples

Abstract ideas get real when you tie them to something familiar. An analogy (“a variable is like a labeled box”) or a real-world example (“percents are just how you read a sale sign”) gives a student a foothold. Every analogy has limits — flag where it breaks — but a good one builds the intuition that a formal definition can’t.

Connect to what they already know

New understanding attaches to old understanding. Before introducing something, find the related thing the student already gets, and build the bridge from there. “You already know how to do X — this is just X with one extra step” turns a scary new topic into a small addition, which is far easier to accept and remember.

Check — don’t assume

A nod is not understanding. After an explanation, verify it landed: ask the student to put it in their own words, or to solve a slightly different problem. This tells you whether to move on or try yet another approach — and it catches the “I thought they got it” gap before it becomes a bigger problem next session.

Let them explain it back to you

The ultimate test — and a great teaching tool — is having the student teach it back. Explaining forces them to organize the idea and reveals exactly where it’s still fuzzy. If they can teach it, they own it; if they stumble, you’ve found precisely what to clarify. Build this into your sessions as a habit.

Common questions

What if I only know one way to explain something?

Then build your toolkit — it’s the most valuable thing a tutor can do. For any concept you teach, deliberately collect a second and third representation: a visual, an analogy, a real-world example. Over time you’ll have options ready, and a student who’s stuck won’t stay stuck.

Aren’t analogies risky if they’re not perfect?

Every analogy breaks down somewhere, and that’s fine as long as you flag it. Use the analogy to build intuition, then note where it stops matching the real concept. A slightly imperfect analogy that creates understanding beats a perfectly precise explanation that doesn’t land.

How do I know if my explanation actually worked?

Don’t rely on a nod. Ask the student to explain it back, or to apply it to a new problem. If they can teach it or use it, it landed; if they can only repeat your words, it didn’t. Checking for real understanding is how you know whether to move on or try another way.