AI & ML
Ender: Visual Scaffolding for Geometric Proof Comprehension
arXiv cs.HC0 views
arXiv:2611.13368v1 Announce Type: new Abstract: Geometric proof is a foundational but notoriously difficult topic in secondary mathematics, primarily due to the high cognitive load required to integrate visual diagrams with logical text. As proofs evolve, tracking the initial givens and an expanding set of derived truths can easily overwhelm working memory. While established scaffolding techniques are often visual and diagram-based, current digital learning environments mostly rely on static, text-heavy interfaces that force students to manage these complex mental models on their own. This paper introduces Ender, an interactive rendering system designed to visualize the logical status of two-column proofs. Ender's design is grounded in four literature-derived requirements: (1) diagram annotation, (2) structural tracing, (3) support for partial or incorrect work, and (4) synchronization between the diagram and text. To evaluate the system, we conducted a between-subjects, think-aloud experiment with 12 secondary school students in the United States, comparing Ender against a traditional digital proof interface. Our results indicate that students using Ender performed significantly better on proof comprehension tasks--specifically in identifying and correcting logical errors. These findings suggest that dynamic visual scaffolding may ease the working memory burden of digital interfaces, offering a promising building block for future AI-based proof tutoring systems.
Source:https://arxiv.org/abs/2611.13368PreviousProject Progress Desk: Know Where All Your Claude Code and Codex Projects Stand at a GlanceNextDesigning Accessible and Rigorous ML Experiments: No-Code Visual Workflows and Structured Guidance for Beginners
Related posts
How to Plan a Five-Slide Social Carousel with One Consistent Character
0dev.to

Kimi K2.5 to K3.1 Pro: 8 API Models, One Enterprise Task, and What Actually Got Done
0dev.to
Visa tested 22 shopping agents. 43% failed - and half of those bought anyway. Here's what actually stops it.
0dev.to
Building WUUUH: Skills Drift Faster Than Confidence — Keeping a Hand In During a Career Gap, What Worked, What Broke
0dev.to
FDR-Controlled Variable Selection for Generalized Linear Models and Cox Regression with Virtual Dummies
0arXiv eess.SP
Terrain Perception for Agricultural UAVs in Complex Farmland via Rotating mmWave Radar
0arXiv eess.SP