Education · iPad app

MasteryMath

A local-first iPad mathematics prototype built around deterministic practice and inspectable mastery evidence.

Compendium article 018 Revision 0.6 · July 2026

MasteryMath is the earlier point where an abstract learning model had to survive contact with an actual interface. The project asks what the pre-atlas MasteryGraph methodology looks like when a learner is holding an iPad and needs the next problem, not a theory of the next problem.

The project takes the form of a SwiftUI iPad MVP with deterministic problem generation and checking, local progress storage, learner practice flows, and a parent-facing dashboard. Its purpose is to test whether the earlier MasteryGraph methodology could produce a calmer, more accountable learning tool.

The question behind MasteryMath

Mathematics also provides a useful boundary for AI. A model may help design the system or explain a concept, but exact problem generation and answer checking can remain deterministic, local, and inspectable. Learners and parents are the intended users. Any future use with children requires careful privacy, accessibility, and pedagogical review.

How MasteryMath took shape

The SwiftUI and SwiftData MVP includes deterministic practice, validation, local progress storage, learner flows, and a parent dashboard. It has built and passed initial simulator smoke testing, making it a working prototype rather than a presentation-only concept. Josiah defined the learning philosophy, feature boundary, local-first posture, and acceptance criteria while directing agent-assisted implementation.

What the evidence supports

A working build and core smoke tests exist. There is not yet evidence of sustained learner use or improved outcomes. What remains unproven is educational effect. Curriculum breadth, diagnostic validity, interface quality, and sustained learner use require real testing. The prototype's value is that it makes those questions concrete and exposes which parts of the broader methodology have actually been implemented.

The curriculum, interface, assessment validity, and content breadth need refinement before external use. The prototype's next stage is a more refined artifact, clearer documentation of the implemented methodology, and a small consented usability study.