Worked examples, step by step

Give a problem or name a kind of problem. Winda solves one in full, says why each step is done, and gives you three more of the same kind with less help each time.

Worked example

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Integration by parts, worked step by step.
ExampleIntegration by parts, worked step by step.

What you get

Given, asked and the plan
What the problem gives, what it asks, and which idea solves it and how you can tell.
Numbered steps with reasons
Each step shows what is done and says why. No algebra is skipped.
The answer and a check
The result with its unit, and one quick way to see that it is sensible.
Usual mistakes
The two or three errors people make on this kind of problem, each with the step where it happens.
Three problems to try
The first with one step filled in, the second with a hint, the third alone. The answers are at the end.

Why worked examples help

A worked example is a problem shown with its full solution. Research on learning, starting with the work of John Sweller in the 1980s, found that beginners often learn more from a studied solution than from the same time spent on unsolved problems. A beginner who meets a hard problem uses all their attention on the search for any path, and little is left to learn the method.

The effect has two conditions. First, the example must give reasons. A list of steps shows you what was done; you need to know why this step and not another, or you cannot solve a problem that looks different. Second, the help must be taken away. As you get better, studied solutions stop helping and solving helps more.

The three practice problems are built on that. The first has a step done for you, the second gives only a hint, the third gives nothing. Do them in order, and look at the answers only after you have a result of your own.

How it works

  1. Say what it is about

    Name a topic, or add a PDF, a lecture video, an article or your own notes. With files, the result is written from them.

  2. Winda makes it

    The template sets the form, so you do not write a prompt. You choose the model that does the work: Claude, GPT, Gemini and others.

  3. Keep it and change it

    The result is saved in your project beside your files and chats. Ask for a change in the chat, or make flashcards and a quiz from the same material.

Questions

It solves the problem you give and explains every step. If you want to learn the method, read the solution, close it and do the three practice problems.

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