In development
MathDaily is being built around one idea: five to fifteen minutes a day should leave behind a map of what you know and how it connects — not a streak.
There is nothing to sign into yet. No accounts, no daily sessions, no lessons served to a browser. What exists today is the part everything else has to stand on: the graph, and the mathematics written onto it. Both are described below, with numbers counted from the repository rather than typed into this page.
Content packcalculus-single-variable@0.1.0
Three kinds of product already exist. Each is missing the same thing in a different place.
The plan is to put your own graph on the first screen: lit for what holds, dim for what is slipping, outlined for what your prerequisites already allow. One object that is the progress bar, the map and the record at once, rather than three widgets that disagree.
Today: the graph and the renderer exist. The learner state that would colour them does not.
Someone five years into a job who wants probability should not have to begin at what a fraction is, and should not be dropped into measure theory either. The way in is designed as a short placement that walks the prerequisite chain by halving, and hands back a starting point rather than a score.
Today: the placement logic is written as a pure function with tests. There is no screen for it.
Concepts run in one direction. Reduction, invariants, symmetry, limiting processes, construction, proof by contradiction — the moves themselves run in the other. Each fragment carries exactly one thinking tag, so getting better at mathematics becomes a second thing that can be counted instead of a feeling.
Today: 13 tags are defined, each with a written rationale and worked examples. 48 of the 69 concepts carry at least one; the rest are deliberately untagged, because a label on everything means nothing.
Strength decays, so the tree dims on its own. A day is meant to be one new fragment plus whatever came due, which means you never have to decide what to revise — and coming back after three weeks away costs you nothing worse than a slightly darker tree.
Today: the scheduling rules are written and tested. They act on concepts rather than flashcards, so one wrong answer dents a concept instead of resetting it.
The honest version. Every number below is counted from the content in this repository when the page is built.
Keeping up with what is being taught this term, and quietly repairing whatever is missing underneath it.
Calculus, linear algebra, probability — where working backwards usually turns up one shaky piece of secondary-school algebra holding everything else up.
Enough probability and linear algebra to do the work, reached by naming the destination and pulling the prerequisite chain backwards from it.
No exam and no deadline. The thinking axis is a perfectly good way to walk through it.
If your clearest memory of mathematics is being told you were slow at it: the first fragment written for this product is about fractions, negatives and where a rule stops applying. That was not an accident.
One message, when there is something you can actually use. It is not a newsletter and there is nothing to read in the meantime.
