Students don't just learn from AI.
They learn by teaching it.
MELT-Math is a teachable AI agent for mathematics. Instead of handing out answers, it becomes the learner — asking questions, making mistakes, and prompting students to reason, reflect, and truly understand.
- 150,000+
- messages analyzed
- 60,000+
- students reached
- 1.5
- effect size across classroom studies
AI that just gives answers makes students passive.
Today's AI tutors optimize for the fastest correct answer. But when the machine does the thinking, the student stops. Understanding stays shallow and fades fast.
Traditional AI tutor
How do I solve 2x + 6 = 14?
Sure! Subtract 6 from both sides → 2x = 8. Divide by 2 → x = 4. Done. ✅
Student copies the answer and moves on. Nothing sticks.
Passive learning
Students receive answers instead of constructing their own reasoning.
Reduced agency
Students rely on AI rather than making decisions and explaining their thinking.
Weak ownership
Learning feels like following instructions instead of building understanding.
Meet MELT-Math — the AI that learns from your students.
We flip the relationship. The student becomes the teacher, and the AI becomes a curious, fallible learner. Explaining your reasoning is where deep understanding is built.
- The student leads — they explain, the AI listens
- The AI asks for clarification instead of giving answers
- Hidden misconceptions surface as the student teaches
A negative times a negative gives a negative, so (-3)(-4) = -12.
Got it — so two negatives stay negative? Let me try (-5)(-1) = -1 then. 🤔
Wait, no — I was wrong! Two negatives cancel, so (-3)(-4) = +12.
Ahh, so the signs flip to positive. Can you show me more examples?
A simple loop that builds deep understanding.
Three steps, repeated. Each cycle pushes students from recall toward real reasoning.
Learn
Students explore a concept with curated, multimodal material — notation, diagrams, and visual reasoning.
Teach
They explain it back to MELT-Math, which plays the curious learner — asking questions and probing the 'why'.
Reflect
Misconceptions surface, the student rethinks and refines, and understanding gets reinforced through reflection.
Not another answer engine.
Typical AI tutors
Optimized to answer
- Delivers the solution on demand
- Student stays passive
- Rewards copying over thinking
- Understanding fades quickly
- One-size-fits-all explanations
MELT-Math
Optimized to make you think
- Asks questions instead of answering
- Student actively teaches & reasons
- Rewards explanation and reflection
- Builds durable, transferable understanding
- Adapts to each student's misconceptions
Everything a teachable agent needs.
A complete platform engineered around the science of how students actually learn mathematics.
Teachable AI Agent
An AI that plays the learner — curious, fallible, and always nudging students to explain their reasoning.
Multimodal Mathematics
Work in natural language, formal notation, diagrams, and visual reasoning — all in one fluid session.
Mentor Agent
A supportive AI mentor that provides timely hints, asks guiding questions, and helps students move forward without taking over the thinking.
Misconception Detection
The agent surfaces and gently challenges hidden errors in a student's mental model.
Adaptive Feedback
Responses adjust in real time to each student's level, pace, and reasoning style.
Research-Based Design
Every interaction is grounded in decades of learning-sciences and learning-by-teaching research.
Built on the science of learning.
MELT-Math isn't a hunch — it's the product of decades of peer-reviewed research into how people learn, reason, and retain.
Learning by Teaching
The protégé effect: students who teach a peer — or an agent — learn more deeply than those who study to perform.
Metacognition
Reflecting on one's own thinking is one of the strongest known drivers of durable learning.
Constructivist Learning
Knowledge is actively constructed by the learner, not passively transmitted from a source.
Learning Sciences
Modern findings on feedback, spacing, and retrieval shape every interaction in the product.
Research translated into public good.
MELT-Math is not only published and peer-reviewed. It is built as shared educational infrastructure: open models, reusable datasets, responsible data-sharing agreements, and classroom partnerships reaching 60,000+ students across five school districts.
60,000+
students reached
Across five partner school districts.
5
school districts
Classroom partnerships supporting real-world implementation.
Open
models and code
Reusable AI models and codebases shared with the field.
Shared
datasets and agreements
Research datasets supported by responsible data-sharing pathways.
Evidence Base
Peer-reviewed research remains part of the public-good story.
Publications document the learning science behind MELT-Math, while open models, datasets, and district partnerships make that work reusable beyond a single study.
Made for everyone who shapes learning.
Students
Build genuine understanding and confidence by teaching what you're learning.
Teachers
Get visibility into how students reason — and where misconceptions hide.
Schools
Deploy an evidence-based tool that lifts outcomes across classrooms at scale.
Researchers
A rich platform to study metacognition and learning-by-teaching in the wild.
Teachers are watching students become the teacher.
Real reactions from educators in MELT-Math classroom pilot studies.
“95% of learning is done through teaching. I love how the kids are actually able to type in and explain — it takes the teacher away from being the standard deliverer and makes all the kids little teachers themselves.”
6th Grade Math Teacher
MELT-Math Pilot Study
It's really good for kids to practice explaining their answers — that's something we don't always get to hear from every kid. It would be nice for all of them to have that opportunity.
7th Grade Math Teacher
MELT-Math Pilot Study
I've never had a program that encourages students to really explain their answers, and that's important.
7th Grade Math Teacher
MELT-Math Pilot Study
The students feel very excited when I tell them we're going to use this math tool — and they love that they're the ones being tutored instead of the reverse.
8th Grade Math Teacher
MELT-Math Pilot Study
I'd love to try it again, especially with my lower-level students. It could really challenge them to understand the why behind math.
8th Grade Math Teacher
MELT-Math Pilot Study
A new default for how students learn.
We're starting with mathematics — but learning by teaching is universal. Here's where MELT-Math is going.
Beyond mathematics
Extend the teachable-agent model to science, language, and reasoning across the curriculum.
Every classroom
Multilingual, accessible, and affordable — so any student anywhere can become the teacher.
Teacher superpowers
Live dashboards that reveal class-wide understanding and misconceptions as they form.
Join us in transforming mathematics learning.
See MELT-Math in action and discover what happens when students teach the AI.