How do I write hints that guide learners without giving away the answer?

Think of hints as a ladder: each step narrows the learner’s search, but the learner still makes the important decision or completes the reasoning. Start with something to notice, move to a strategy, then offer a concrete next action.

Suppose the learning question is: “What is 3/4 + 2/3?” and learners are meant to find a common denominator and add the fractions themselves.

1. Hint 1 — Notice: “Can you add these fractions as they are, or do the pieces need to be the same size first?”
2. Hint 2 — Choose a strategy: “Look for a denominator that both 4 and 3 divide into evenly.”
3. Hint 3 — Take a concrete step: “Try rewriting both fractions in twelfths. What numerator does each fraction become?”

The last hint suggests a direction without adding the numerators or giving the final answer. Adjust the level of help to the lesson: learners may be stuck for different reasons.

Give each step a different job. Hint 1 points toward relevant information, rather than saying “think carefully.” Hint 2 names a possible relationship, representation, or strategy. Hint 3 suggests a first move the learner can make.

For the fraction example, “Look at the denominators” may not be enough to guide a stuck learner. “Check whether the pieces are the same size” points toward the issue. The next hint can connect that observation to a common denominator; the last can suggest twelfths without doing the addition.

After each hint, ask: “What can the learner now try that they could not see before?” If the answer is “nothing,” make it more actionable. If the learner now has the final result, step back.

You can make the final hint more concrete, but first decide which thinking learners are meant to practice. If they should choose a common denominator, naming 12 removes that choice. If choosing 12 is not the learning goal, you could give it while leaving the fraction conversion and addition to them.

For example: “Use 12 as the denominator. Rewrite 3/4 with denominator 12, then do the same for 2/3.” This gives away the denominator but still asks learners to find equivalent numerators and add. It may suit a lesson focused on equivalent fractions. If choosing a common denominator is the goal, keep the earlier hint instead.

Preserve the specific reasoning the activity is meant to teach, and offer support around it.

Start with the learning question and identify the key decision or reasoning learners should do themselves. Then draft one hint for each stage:

1. Notice: “What information, pattern, or feature might matter here?”
2. Connect: “How could that information relate to a strategy or idea you have practiced?”
3. Try: “What is one concrete next step you can take?”

Replace the general prompts with details from your question. For the fraction example, if choosing a common denominator is the key reasoning, the last hint should not choose it for the learner. If the learning goal is different, the boundary may change.

Read the hints in order and check that each adds help rather than restating the previous one. You can also ask someone unfamiliar with your intended solution to try them and say where they still feel stuck; use that response to make the next hint more specific.