Good math, made visible.

The answer was never the problem

A finished answer is a short line. The work that produced it is longer, and most of that work is something you should be able to point at: a point, a line, a region, a value moving along a curve. When the line is all you are given, the problem looks closed and the process is gone.

GoodMaith is for that gap. The chat and the board are one lesson. Each beat of the explanation adds an object. You can drag it. The next sentence has something to refer to, because the figure is already there.

Who it is for

It is for anyone who can follow a correct solution and still not see it. A student staring at a triangle. Someone meeting a limit for the first time. A person who can compute an integral and cannot say which region it names. The subject may be geometry, algebra, or calculus. This note does not lock the product to one chapter of one course.

If you already know which formula you want, the handbook is the better door. If you have a problem and want the figure to grow while the explanation does, start in chat.

How a problem gets learned

Chat with a live board. You type the problem, or you paste a figure. One way through asks one question at a time and waits. The other writes the path through as it goes. Either way the board is the same surface. Objects appear in the order the reasoning names them. You can move a free point and watch what depends on it.

Nothing here is a recording of a finished picture. Dragging is the check. If a circle was built through three points, it should still pass through them after you move one.

The handbook is the shelf

The math handbook is where a formula sits next to a figure you can drag, one topic at a time. This blog does not reteach those topics. When a conversation needs a shared definition, it can point at a page and come back. The page stays the shelf. The chat stays the lesson.

One of those pages is an angle you can drag. The measure lives there, with the figure. This note only says that the page exists, and that GoodMaith uses the handbook as a shelf rather than as a script. If you came here to learn how an angle is measured, that page is the one to read. This page will not repeat it.

What this is not

It is not a calculator. A calculator returns a value and stops. Here the value, when there is one, is the last object in a construction you can still move. The number is not a substitute for the figure that produced it.

It is not a service that writes your homework in your place. The point of the chat is that you watch the step. On the slower pass you take the next one. The board records what was built. It does not take the assignment away from you.

It is not a chat window with a picture pasted in at the end. A screenshot cannot be dragged, and it cannot update when the hypothesis changes. The board is the construction, kept in step with the sentences. If the sentence changes, the objects can change with it.

It is not a place to look up a topic. Topic articles live in the handbook, each with its own figure. This page is about what GoodMaith is.

The 4 I's

The home page names the product with four words, in this order. They are one board.

AI. One way through asks one question per beat and waits for the next move. The other writes the path through and plots each object as the reasoning names it.

Interactive. You, the sentences, and the figure stay on that one problem. The next beat does not swap in a picture drawn for a different question. What you drag is the thing the chat is talking about.

Visuals. Move a free point, and whatever was built from it follows. You are not looking at a finished drawing, and you are not watching a clip that plays and then stops. The figure is the current state of the construction.

Insight. The reason shows up in the motion. After you move the point, the step either still holds or it does not, and you can see which.

When you want the board without the tutor, open the graphing workbench. Open the board yourself, drag a point, and what depends on it follows. Same objects. No lesson wrapped around them.

Good math, made visible. Chat with a live board.