Math Tutoring That Measures Learning, Not Completion

◊ 10 Math Modes

From counting to calculus.

Each mode is a simulation, not a worksheet. The adaptive engine selects the right challenge at the right difficulty for each student.

K–3

PlaceValueLab

Drag-to-regroup base-10 blocks for addition with carrying and subtraction with borrowing.

3–6

FractionForge

Visual fraction bars and area models with real-time misconception detection.

3–8

WordProblemEngine

Step-by-step word problem parsing that detects keyword traps.

6–8

ProportionLab

Triple-linked ratio table, graph, and number line synced in real time.

6–9

AlgebraLab

Visual balance beam for equations, one-step through multi-step, with distribution and sign-error detection.

7–10

EquationSolver

Step-by-step algebra with real-time validation through systems of equations.

6–12

GraphVerse

Slider-driven coefficient manipulation connecting symbolic, graphical, and tabular representations.

9–12

GeoPROOF

Drag-and-drop proof constructor with visual highlighting of referenced angles and segments.

6–12

ProofBuilder

Algebraic proofs, number theory, and visual proofs by decomposition.

9–12

StatsPhERE

Sampling, distributions, and hypothesis testing through student-run experiments.

◊ Misconception Detection

Find the bug in their thinking.

The type of wrong answer is diagnostic. Each systematic misunderstanding triggers a specific pedagogical response.

Common in Grades 3–5

Fraction as Two Separate Numbers

Student treats 3/4 as “3 and 4”; tutor responds with visual fraction models showing it as one quantity.

Common in Grades 6–8

Forgot to Distribute

Student writes 2(x + 3) = 2x + 3; tutor uses an area model to make distribution visible.

Common in Grades 2–5

More Means Add

Student adds when a problem says “more” in multiplicative contexts; tutor uses visual comparisons to distinguish.

Common in Grades 7–10

Negative Sign Errors

Student mishandles negatives in multi-step operations; tutor introduces a number line simulation.

Common in Grades 4–7

Decimal Place Confusion

Student treats 0.5 as less than 0.12; tutor uses color-coded place value blocks to make position visible.

Common in Grades 8–12

Equality as Assignment

Student treats = as “the answer is”; tutor uses a visual balance model to show equality as a relationship.

◊ Productive Struggle

The right amount of hard.

The AI tutor monitors three signals to keep each student in the zone where struggle builds understanding rather than frustration.

Hint Independence

Tracks scaffolding frequency. As independence grows, hints fade.

Transfer Success

Measures whether skills learned in one mode apply in another — the evidence that understanding is durable.

Affect Tracking

Response time, retry rates, and pause durations estimate affect. The tutor intervenes before frustration takes hold.

The AI tutor never gives answers. It asks the question that leads the student to discover the answer themselves.

◊ Every Student

Built for the students who need it most.

Designed to reach the students furthest from opportunity first.

Behind Grade Level

The engine meets students where they are — age-appropriate engagement, ability-appropriate difficulty.

English Learners

8 languages. Visual simulations mean language supports the experience but is never the gate.

Dyscalculia

Color-coded place values, graph paper overlay, enlarged numbers. The engine distinguishes symbol manipulation difficulty from quantitative reasoning difficulty.

No Barriers to Access

Any device with a browser. No app to install. No IT ticket.

◊ For Teachers

Teachers in control. AI as copilot.

The teacher decides what to teach. The system provides data, simulations, and scaffolding.

Instructional Alignment

Assign by standard, unit, or skill

Assign math modes by standard, unit, or skill. CCSS mapped to every mode.

Interaction Logs

See how students think, not just what they got right

Teachers see reasoning patterns, not just scores — what students tried, where they got stuck, which misconceptions surfaced.

Classroom Dashboard

Standards coverage heatmap in real time

Real-time standards heatmap. AI copilot suggests small groups and targeted activities.

Parent Reports

One-click plain-language summaries

Plain-language per-student reports with strengths, growth areas, and home activities. 8 languages. Printable PDF.

◊ Open Standards

Measurement that the research community can inspect.

Our measurement specifications are open and our benchmark results are published honestly, including results that do not favor us. We welcome research partnerships.

research@quantumlearningmachines.com

Interested in bringing adaptive math to your school or district? partnerships@quantumlearningmachines.com