Scores are compliance. Grλdient is for what comes after.

Every score hides more
than it shows. We built
the reveal.

Educational architecture built for the student and the teacher. Assessment arcs that decompose every learning task. A new frontier in how we see learners.

λ   λ   λ

A score is compliance. A profile is a conversation.

Every number in a gradebook is the output of a complex cognitive act that the number itself cannot describe. Two students at 72% are not the same student — they are two different positions in cognitive space that happen to produce the same compressed output. Current assessment systems were not designed to see that distinction. Grλdient was built on nothing else.

A proprietary assessment architecture structures every problem before analysis begins. PCA then maps where each student actually lives in that space. Not a rank. Not a percentile. A position. A direction. A place to begin the real conversation from.

The Architecture

Framework arcs built before the engine

A proprietary process maps every assessment before analysis begins. The diagnostic runs on that structure — not on raw scores. This is what makes the output mean something.

Location, not Rank

Position, not rank

PCA reveals the geometric structure in your data — where each student actually sits in cognitive space. No rank. No percentile. A position that tells you something a score never could.

The Posture

Zero-retention. Zero shame.

Student data is processed temporarily and deleted within minutes of report generation. FERPA-aligned by design. No student leaves this system carrying a number that tells them where they ended.

Same score. Two completely different cognitive positions. Now the difference is actionable.

The Gradebook Conversation
72%
Compliance confirmed. A compressed number that traveled from the assessment to the transcript without ever answering the only question that matters: what does this learner need next?
The Grλdient Conversation
λ₁ λ₂ λ₃
Multiple cognitive dimensions revealed. Student A understands the concept but loses the procedure under pressure. Student B executes the mechanics without grasping the logic. Different people. Different paths. Precise, honest, actionable.
Λ

One diagnostic engine. A different conversation for every role in a school.

λ

Teachers

Actionable diagnostics

λ

Parents

Clear learning profiles

λ

Students

Self-aware growth paths

λ

Administrators

System-wide visibility

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Coaches

Data-driven PD targeting

λ

Counselors

Evidence for placement

λ

Intervention Specialists

Precision referrals

λ   λ   λ

The Grλdient Learning Loop

Three paths. One continuous act of responsive teaching. The architecture was designed first — so every feature output means something before it reaches a teacher's hands.

Enter the New Frontier →
Path A Unit Architect — Pro · Coming Soon

Before a student ever picks up a pencil, the assessment architecture is already in place. Path A structures your curriculum so that every item you write maps to its cognitive demand before the diagnostic ever runs. The engine knows what to look for because the framework told it first. This is the difference between data that informs and data that transforms.

Available to pilot partners. Coming to Pro.

Path E Formative Assessment Loop

The question every teacher asks at the end of class — did they get it? — deserves a real answer, not a gut feeling. Upload your exit ticket data. Get back a class-wide cognitive map: where the thinking held, where it fractured, and what that means for tomorrow. Immediate. Actionable. Ready before you leave the building.

01

Upload Your Data

Your exit ticket scores — the evidence already sitting in your hands

2 min
02

Framework Runs

A proprietary framework structures each item before analysis begins

Automatic
03

Cognitive Map Generated

Class-wide pattern detection — not who got it right, but where the thinking lived

10 min
04

Tomorrow's Conversation

A specific, evidence-backed plan for what happens next in your classroom

Ready
Path B Diagnostic Engine

This is where the statistics do what no gradebook can. Path B applies Principal Component Analysis to your assessment data — not to rank students, but to map them. Two students with the same score occupy different positions in cognitive space. Path B shows you exactly where both of them are, why they are there, and what each of them needs next. The most diagnostic single data point in any problem is the one that separates students who understand the inferential logic from students who are pattern-matching. Path B finds it.

Sample Analysis — Class of 27 Students
λ₁ Primary Dimension 42% variance
λ₂ Secondary Dimension 28% variance
λ₃ Tertiary Dimension 14% variance
Research Collaboration Inquiry →

Access

This is a live research platform.
Access is by inquiry.

Grλdient is not a passive reporting tool. It is an active diagnostic instrument built on a proprietary assessment architecture and tested in live K–12 classrooms. Pilot access is extended to educators who are ready to have a different conversation about what their students actually know.

Begin the Conversation →

Join the Pilot

Grλdient is currently in active pilot with teachers across K–12 and international school settings. If you teach and want to see what your assessment data has never been able to show you — we want to hear from you.

Pilot participants receive full access to the diagnostic pipeline at no cost. In return, we ask for one honest conversation about what the data revealed — and whether it changed anything.

Apply to Pilot Research Inquiry

About

I am the anomaly living in both worlds.
That is why I could see this.

To build what Grλdient is, you had to be two people simultaneously: a statistician who understands latent variable modeling and what PCA actually reveals — and a master teacher who has stood in front of a classroom for twenty-one years, watched a student's face when the light goes on, and felt the specific weight of a kid who has been carrying the wrong number about themselves for too long.

Engineers built the analytics platforms. Educators wrote the frameworks. Nobody stood in both places at once and asked: what does a student actually look like from inside the mathematics of their own learning?

This platform did not come from a research paper. It came from twenty-one years of assessment design practice — from learning, in real classrooms with real students, which items reveal genuine understanding and which ones only reveal a memorized procedure. Built from the inside. Tested on real evidence. Held to a standard no vendor dashboard has ever tried to meet.

I know what it feels like to be built and guided rather than judged. To have someone see you precisely, without shame, and give you language for where you are in a progression that belongs to you. That experience does not come from a curriculum. It comes from a system designed, from the beginning, to reveal rather than sort. That is what we are building here.

Experience

21-year master mathematics educator · Algebra 1 through Calculus 3 · Colorado, Oman, Brazil

Education

M.S. Statistics & Probability · NSF GK-12 Scholar, Colorado School of Mines

Recognition

Moorehead-Cain International Impact Educator Award 2024 · Flint AI Educator of the Month 2025

Classroom Impact

268% AP participation growth · RTI model adopted district-wide · 105-student IB pilot, 6 subjects, live

Contact

[email protected] · LinkedIn