C1 / GEOMETRY / EVALUATED AGES 9–12
From a flat net to a solid idea.
Learners construct a geometric net. Shape-specific rules check its mathematical validity before a solid appears in 3D and AR.
2D-to-3D Geometry Validation
Illustrative playback. This visual explains the concept, rather than running the research application.
THE LEARNING PROBLEM
What this component
helps learners explore.
A net is more than a collection of faces. Learners need to understand how dimensions, connectivity and orientation determine whether a flat construction can close into a solid.
Technical approach
Deterministic, shape-specific validation. Cube and cuboid checks propagate face orientation through connected faces. Triangular prisms require compatible rectangular and triangular faces; tetrahedra require four connected triangles with folding compatibility; cylinders require matching circular ends and a compatible lateral rectangle.
FROM INPUT TO REINFORCEMENT
The learning workflow.
- 01
Create a net in the learning interface
- 02
Check faces, dimensions, connectivity, adjacency and orientation
- 03
Route invalid constructions to C2 correction
- 04
Generate a valid 3D solid and place it in AR
SUPPORTED SCOPE
Purposeful boundaries.
- Cube
- Cuboid
- Triangular Prism
- Tetrahedron
- Cylinder
Pilot evaluation
25 evaluated cases: four valid and one invalid case for each of five solids. All 20 valid cases progressed to 3D/AR; all five invalid cases stopped before reinforcement.
What the findings do not establish
Agreement on these 25 cases does not establish universal accuracy. Broader and more varied learner constructions require validation.
Source: Manuscript pp. 3–5. Read the manuscript ↗
Download individual proposal ↓LET’S EXPLORE WHAT’S NEXT
Bring a new dimension
to learning.
Start a conversation about a demonstration, school pilot or research partnership.