Four explanations of one idea

Why one explanation is never enough

Every teacher has had the moment: you have explained it clearly, twice, and a third of the class still does not have it. The explanation was fine. It was the wrong explanation for those students. A good lesson carries the same idea in several forms, so that a student who does not catch it as an analogy can catch it as a worked example, and a student who cannot follow the example can follow the story.

Producing four forms of one idea by hand is slow. It is one of the things the model does best, because each form is a different kind of writing and it has read a great deal of each.

The four to ask for

Ask for all four in one prompt, with the five things only you know at the top, and read them side by side.

1. An analogy. “Give me three analogies for [idea], each from everyday life in a rural Indian town, and for each one tell me the point at which the analogy stops being true.” The last clause is the whole lesson and is covered below.

2. A worked example, then a faded one. “Show one fully worked example. Then show the same kind of problem with the first two steps done and the rest blank.” The faded example is the bridge between watching and doing, and it is the thing textbooks most often omit.

3. A story or a case. “Tell it as a two-paragraph story about a specific person who needed to understand this to solve a real problem.” Stories carry ideas into memory in a way definitions do not, and the model is good at them. Insist on a local, plausible person; left alone it produces an American teenager.

4. Contrasting cases. “Give me two situations that look similar, where the idea applies to one and not the other, and explain the difference.” This is the form that builds the boundary of a concept, which is where most misconceptions live.

The analogy audit

Analogies are the most powerful explanation and the most dangerous. Every analogy holds for some features and breaks for others, and students extend them past the breaking point unless somebody marks it.

Water in pipes for electric current: holds for flow, pressure and resistance; breaks the moment a student pictures electricity leaking out of a cut wire, because the “pipe” is not what carries the charge in the way a pipe carries water. The solar system for the atom: holds for a central mass and orbiting bodies; breaks for orbits being definite paths. A library for memory: holds for storage and retrieval; breaks for memories being reconstructed rather than fetched.

The model will produce any of these fluently and will not mark the break unless you ask. So ask, every time: “Where does this analogy stop being true, and what wrong conclusion will a student draw if they push it past that point?” The answer is often better than the analogy, and it gives you the sentence you say in class: “This is like water in pipes for the first three things, and it is nothing like water in pipes for the fourth, and here is why.”

Explaining to a specific wrong idea

The most targeted explanation you can ask for is one aimed at a named misconception. “A student believes that heavier objects fall faster. Write an explanation that starts from that belief, takes it seriously, and leads the student to see why it is wrong, using something they can try at their desk.” This produces a different explanation from “explain gravity”, because it begins where the student is rather than where the textbook starts.

You get the misconception from your marking, or from the roles lesson: ask the model to answer as a confused student first, and then to write the explanation that would fix that student.

Sequencing: concrete first

Whatever the model produces, check the order. Its default is definition first, example second: the textbook order, and the wrong one for most students. Reverse it: the concrete case, then the pattern, then the name. “Rewrite this so the definition comes last, after two concrete cases” fixes it in one message.

What to keep for yourself

The explanation that lands is the one that connects to something that happened in your room: the experiment that went wrong on Tuesday, the thing Amara said, the market outside the gate. The model cannot supply that connection. So use its four forms as raw material and add the one sentence that ties the idea to this class. That sentence is usually the one students remember.

The honest limit

Four fluent explanations can all be subtly wrong in the same way, because they were produced by one model with one set of habits. Where a subject has a well-known teaching error (“current is used up in a bulb”, “plants get food from soil”, “the tongue map”) the model has read that error many times and may reproduce it inside an otherwise excellent explanation. Read each form for the error you know your subject carries. You know where they are; it does not.