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A Level Revision: What Clever Hans Teaches About Explaining the Method

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A correct calculation can still hide a weak method. Ask an A Level student to explain each step, and gaps in understanding often appear before exam pressure turns them into lost marks.

The answer sits at the bottom of the page. Every figure is in place. Then comes one follow-up request: “Talk me through how you knew to do that.”

The student may repeat a rule without linking it to the question. They may say they “moved it across” without explaining why the sign changed. They may have followed a pattern from a worked example and arrived at the right number. On a familiar homework question, that can be enough. In an exam, where the wording, values or context shift, it may not hold.

A right answer can come from the wrong kind of confidence

A Level questions often test more than calculation. They ask students to select a method, apply it accurately and communicate reasoning in a way that earns credit. A final answer gives only one piece of evidence.

When a student explains the method aloud, a tutor or parent can listen for the parts that matter:

  • Can the student name the principle they used?
  • Can they explain why that principle fits this question?
  • Can they identify what would change if one condition changed?
  • Can they check whether the answer is reasonable?

A hesitant explanation does not mean the student cannot improve. It identifies the exact place to work: choosing the method, handling algebra, interpreting a graph, using units, or setting out the reasoning clearly.

This matters across subjects. In mathematics, an unexplained correct answer may come from memorising a sequence of operations. In physics, it may hide uncertainty about which equation describes the situation. In economics, the calculation may be sound while the written interpretation misses the command word. A Level command words can put strong answers at risk across subjects.

Clever Hans showed why the process matters

In Berlin in 1907, a horse named Clever Hans appeared able to answer questions, including arithmetic, by tapping his hoof. His owner, Wilhelm von Osten, was not found to be deliberately deceiving audiences. That left the central question open: how was Hans producing so many apparently correct responses?

Psychologist Oskar Pfungst investigated what happened around each answer. He found that Hans responded to subtle, unintentional cues from people who knew the answer. When the questioner did not know the answer, or Hans could not see the questioner, the performance changed. The horse had learned to read the people around him, rather than solve arithmetic in the human sense.

The account is documented in Encyclopaedia Britannica’s entry on Clever Hans. Its lesson has travelled far beyond animal psychology: a correct response can look like understanding until the conditions change.

An A Level student is not Clever Hans, of course. But the learning risk has a similar shape. A student can pick up cues from a teacher’s worked example, a familiar worksheet layout, a calculator sequence, or a phrase they have learned to repeat. Remove the cue and replace it with an unfamiliar question, and the method can fall apart.

Build explanations into ordinary revision

The useful intervention is small. After a completed question, ask the student to explain the first decision they made before looking at the final answer.

“Why did you choose that equation?” is more useful than “Did you get it right?”

“What does this value represent?” can uncover a misunderstanding that a mark scheme alone will not show.

“If the question gave you this information instead, what would you do?” tests whether the student can adapt the method.

Keep the explanation brief at first. A student does not need a polished mini-lecture. They need to practise making the connection between the question, the principle and the working. Over several sessions, those explanations become clearer and faster.

For parents, this also creates a better conversation after a mock or homework task. The goal is not to interrogate a student over every line. Choose one question, ask for the method, and notice where they pause. That pause is useful information for the next revision session.

Match support to the point of confusion

Curriculum-specific tutoring can help separate a content gap from a method gap. A student preparing for Cambridge International A Level may need support that follows the structure and language of that course. An IB Diploma student may need to connect calculation with analysis and written justification. The same correct answer can require different evidence depending on the programme and assessment task.

At Accelerate Tutors, parent registration records the student’s curriculum, goals, availability and learning support needs so matching can begin with the actual work in front of the student. Live one-to-one support is available online worldwide, with in-person tutoring available for families in Ghana.

Bring one completed question to the first conversation. Ask the student to explain the method before anyone corrects it. If the explanation holds when the question changes, the answer has a foundation. If it does not, you have found a practical place to begin.

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