MIXED REALITY / AR IN EDUCATION

From learner-created input to meaningful reinforcement.

GeoLex AR explores a common interaction architecture across geometry and foundational literacy, while preserving specialized processing for each learning task.

THE RESEARCH, EXPLAINED

What does a child actually do?

GeoLex AR brings geometry and English literacy into one Android learning suite. Its central idea is to respond to something the child creates: a net, a fingertip movement or a sketch. Each activity uses its own processing method before returning feedback or a 3D/AR learning experience.

C1 / GEOMETRY VALIDATION

Build a net. Explore the solid.

A child constructs a flat arrangement of faces. Shape-specific mathematical rules check whether it can form a supported solid. Valid nets progress to 3D and AR; invalid ones move to corrective guidance.

C2 / CORRECTION & SLICING

Understand an error. Inspect the parts.

Visual guidance highlights a faulty relationship in the net so the child can revise it. For valid solids, guided slicing activities reveal prepared sections and fractions such as halves and quarters.

C3 / AIR-WRITING

Draw a letter with a fingertip.

The mobile camera follows the child’s fingertip in the air. The ordered movement is processed by a trained recognition model to return a predicted letter and feedback.

C4 / SKETCH & VOCABULARY

Sketch an object. Discover its word.

The child draws an apple, cat, fish, sun or tree. A classifier identifies the sketch; spelling and pronunciation-oriented activities connect it to language. Completing both activities unlocks its AR representation.

The pilot involved 50 unique learners: 25 aged 9–12 tried the geometry components, and 25 aged 6–8 tried the literacy components. The reported results describe this pilot; they do not establish effectiveness for every learner or classroom.

Explore the pilot findings →

LITERATURE SURVEY & RESEARCH GAP

Beyond presenting
a predefined object.

AR can make learning content inspectable. Its educational value depends on the interaction design, the task and the learner’s age.

The manuscript positions AR geometry studies as evidence for spatial learning, while noting their usual focus on predefined objects. Sketch recognition and reconstruction interpret freehand input, but do not by themselves establish a net’s mathematical validity or provide educational correction.

Camera-based air-writing preserves ordered fingertip movement. AR language-learning research supports interactive alphabet and vocabulary work. GeoLex AR investigates how computational interpretation can sit between the learner’s own input and reinforcement across both pathways.

The research problem

How can an integrated mobile suite validate or recognize learner-generated input, return appropriate instructional feedback and support age-appropriate 3D/AR reinforcement?

Positioning follows the manuscript, pp. 1–2. The contribution is architectural and pedagogical; novelty is not asserted merely because four features appear in one app.

MAIN OBJECTIVE

Design and evaluate a mobile AI/AR educational suite that responds to learner-generated geometry and literacy activities.

C1

2D-to-3D Geometry Validation

Learners construct a geometric net. Shape-specific rules check its mathematical validity before a solid appears in 3D and AR.

C2

2D Net Correction and Virtual Slicing

Fault-specific guidance helps explain an invalid net. Once a solid is ready, virtual slicing makes its internal structure and fractions visible.

C3

AI Air-Writing Trajectory Tracking

The mobile camera tracks a fingertip moving through free space. An ordered trajectory becomes the input to CNN-based letter recognition.

C4

Sketch-Driven Multisensory Vocabulary Learning

A learner’s sketch becomes an object-word connection. Spelling and pronunciation-oriented activities unlock its corresponding AR representation.

DESIGN SCIENCE RESEARCH

Build an artifact.
Evaluate it in context.

The study uses Design Science Research: the mobile suite is an artifact iteratively designed and evaluated. Technical workflow evidence is separated from learner outcomes.

  1. Understand the problem: examine geometry, letter movement and object-word learning needs.
  2. Design and implement: develop the shared interface and component-specific interpretation.
  3. Evaluate the artifact: record validity agreement, slicing completion, letter recognition and vocabulary workflow outcomes.
  4. Observe learning: compare aggregate ten-mark pre/post means for the two age-specific groups.
  5. Reflect and refine: report boundaries and identify broader validation needs.

50 unique learners participated: the same 25 aged 9–12 evaluated C1/C2; the same 25 aged 6–8 evaluated C3/C4. The findings are descriptive.

Manuscript pp. 2–3. Evaluation detail →

SYSTEM ARCHITECTURE

Shared interaction.
Specialized interpretation.

Geometry pathway

Learner-created 2D net
C1 · Shape-specific validation
Invalid ↓
C2 · Fault highlighting & correction

↺ Revise net → retry C1 validation

Valid ↓
3D solid generation & placement
C2 · Choose direction / fraction → trace → prepared slicing meshes

Literacy pathways

Camera-based free-space fingertip trajectory
C3 · Normalize trajectory → CNN recognition → letter feedback
Learner-generated object sketch
C4 · Classify sketch → corresponding 3D representation
Spelling + pronunciation-oriented tasks → both succeed → AR unlock
↓

Shared Unity interaction & AR presentation

Navigation · instructional feedback · 3D assets · AR reinforcement

Accessible architecture reconstruction based on manuscript pp. 3–4, Figures 2–3. The correction loop returns invalid geometry to validation. The literacy branches remain separate.

TECHNOLOGIES USED

The research application
and this website.

Research mobile stack

Unity 2022.3 LTS, C# and Android. AR Foundation with the ARCore XR Plugin supplies plane detection, raycasting, placement and physical-viewpoint inspection.

C1 uses deterministic geometry rules. C3 uses camera hand-landmark tracking and CNN-based trajectory recognition. C4 development and integration use Python, TensorFlow/Keras, OpenCV, FastAPI, NumPy and Pillow. Earlier proposed technologies are not assumed to be final implementation choices.

Public website stack

Static Astro pages with TypeScript, CSS and small JavaScript interactions. The inquiry service uses Firebase Cloud Functions, private Cloud Firestore storage and server-side SMTP.

Research technology claims: manuscript p. 3.

SELECTED RELATED WORK

Research foundations.

AR geometry and spatial visualization

Nadzeri et al. (2024), International Journal of Interactive Mobile Technologies. Manuscript reference [3].

Geometry tutoring in AR

Uriarte-Portillo et al. (2023), Information. Manuscript reference [6].

Camera-based air-writing

Watanabe et al. (2023), Electronics. Manuscript reference [14].

Alphabet and vocabulary learning

Korosidou (2024), Digital. Manuscript reference [16].

Design Science Research

Weigand, Johannesson & Andersson (2021), Data & Knowledge Engineering. Manuscript reference [19].

These references are transcribed from the supplied manuscript. Read the complete references on page 6.

Open the manuscript bibliography ↗