Approach
A coordinate system for learning.
Most education systems treat skills as a checklist. We treat them as coordinates in a structured space — and we measure where every child actually is.
The Premise
Learning has a shape.
Most education systems treat skills as a flat list. A child either has them or doesn't. We disagree. Learning has structure — concepts connect to other concepts, skills depend on other skills, and a child has a position in that structure. Activities reveal where they are. Time moves them through it.
The Geometry
Every subject has its own dimensions.
English isn't measured the same way as Maths. Maths isn't measured the same way as Science. The shape of what you're learning determines the shape of how it's measured. We've built a coordinate system for each subject — same structural framework, different axes.
Subject
English
Accuracy
getting to the right answer
Pronunciation
clear sound production
Fluency
smooth, well-paced delivery
Vocabulary
range and choice of words
Content
relevance and substance of ideas
Calibrated against CEFR — the Common European Framework of Reference.
Subject
Maths
Accuracy
getting to the right answer
Procedural Fluency
efficient, flexible execution
Conceptual Understanding
grasping why, not just how
Reasoning
justifying, generalising, pattern-spotting
Representation
moving between symbolic, visual, concrete forms
Calibrated against the TIMSS framework — content × cognitive domains.
Subject
Science
Accuracy
correct facts and applications
Inquiry
predicting, hypothesising, explaining
Conceptual Understanding
grasping underlying models
Representation
diagrams, graphs, equations
Vocabulary
domain-specific scientific language
Calibrated against the TIMSS Science Framework and NGSS practices.
Notice the universal axes. Accuracy appears in every subject — the universal “did you get to the right answer?” axis. Conceptual Understanding and Representation recur across Maths and Science. Each subject also has its own irreducible dimensions — Pronunciation belongs to English, Procedural Fluency belongs to Maths, Inquiry belongs to Science. The shape changes; the geometry does not.
The Principle
Honest measurement, not invented numbers.
When an activity doesn't measure a dimension, we don't fake a score. We say nothing. A listening activity measures Accuracy — and only Accuracy. A speaking activity measures all five English dimensions. A reading-aloud activity measures Accuracy, Pronunciation, and Fluency, but not Vocabulary or Content — because the child didn't choose the words.
A child's position in the coordinate system fills in as they cover more activity types. We never invent a score to fill a gap. This keeps the framework honest, maps cleanly to schools that don't run the full activity suite, and gives a natural progress story — we'll see how this dimension grows as the child does more of these activities.
The Calibration
Anchored against international standards.
The coordinate system is ours. The calibration anchors are public, international, and standards-based.
For English, we calibrate against CEFR — the Council of Europe's six-level framework, adopted by language assessment bodies in over forty countries. CEFR's can-do descriptors define what a learner at A1, A2, B1, B2, C1, or C2 can actually do with the language. Our dimensions are the measurement axes; CEFR is where the points on those axes correspond to recognisable proficiency levels.
For Maths, we calibrate against TIMSS — the IEA's international comparative study, which defines mathematical proficiency across content domains and cognitive domains. For Science, we draw on the TIMSS Science Framework and NGSS — both publicly published frameworks defining the practices and core ideas of scientific learning.
Curricula like Cambridge, IB, CBSE, Common Core, and national curricula sit on top of these international anchors. Our coordinate system is compatible with all of them.
The Trajectory
Learning is a path, not a level.
Most assessment systems give a child a level. You're at A1. You're at Year 3 expected. A level is a snapshot. It tells you where the child is, but not where they came from or where they're going.
We measure a child's position in the coordinate system continuously. That position is a vector, and it changes over time. The change is the learning. We can show a teacher not just where a child is today, but where they were last week, what dimensions are growing fastest, where the next step should take them.
This approach is not theoretical. It is derived from real classroom data — observed across hundreds of thousands of students learning every day, in real schools, in real time.
Research Collaboration
We work with researchers.
The BlueberryML coordinate system produces a novel kind of educational dataset: continuous-trajectory, dimensional, cross-subject, anchored against international standards. We make anonymised data available to academic researchers studying learning trajectories, dimensional progression, calibration against international frameworks, and adaptive curriculum design.
We are not a research institute. We are a substrate that researchers can build on.
Researchers interested in collaboration: [email protected]