Augmented Math: Authoring AR-Based Explorable Explanations by Augmenting Static Math Textbooks
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Abstract (arXiv)
We introduce Augmented Math, a machine learning-based approach to authoring AR explorable explanations by augmenting static math textbooks without programming. To augment a static document, our system first extracts mathematical formulas and figures from a given document using optical character recognition (OCR) and computer vision. By binding and manipulating these extracted contents, the user can see the interactive animation overlaid onto the document through mobile AR interfaces. This empowers non-technical users, such as teachers or students, to transform existing math textbooks and handouts into on-demand and personalized explorable explanations. To design our system, we first analyzed existing explorable math explanations to identify common design strategies. Based on the findings, we developed a set of augmentation techniques that can be automatically generated based on the extracted content, which are 1) dynamic values, 2) interactive figures, 3) relationship highlights, 4) concrete examples, and 5) step-by-step hints. To evaluate our system, we conduct two user studies: preliminary user testing and expert interviews. The study results confirm that our system allows more engaging experiences for learning math concepts.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). Builds on 9 of its 68 references that are in the map. First posted on arXiv 30 Jul 2023.
Builds on
9 of 68 references.
References · 9
- 2020CNN Explainer: Learning Convolutional Neural Networks with Interactive Visualizationcited by 57
- 2017Direct-Manipulation Visualization of Deep Networkscited by 26
- 2020RealitySketch: Embedding Responsive Graphics and Visualizations in AR through Dynamic Sketchingcited by 14
- 2022RealityTalk: Real-Time Speech-Driven Augmented Presentation for AR Live Storytellingcited by 10
- 2023Teachable Reality: Prototyping Tangible Augmented Reality with Everyday Objects by Leveraging Interactive Machine Teachingcited by 7
- 2022Sketched Reality: Sketching Bi-Directional Interactions Between Virtual and Physical Worlds with AR and Actuated Tangible UIcited by 5
- 2017TraceDiff: Debugging Unexpected Code Behavior Using Trace Divergencescited by 2
- 2022Fidyll: A Compiler for Cross-Format Data Stories & Explorable Explanationscited by 2
- 2017Learnable Programming: Blocks and Beyondcited by 1
Built on by
Citing papers per year: 2024: 4; 2025: 2; 2026: 1.
7 papers.
- 2024Augmented Object Intelligence with XR-Objectscited by 12
- 2024Augmented Physics: Creating Interactive and Embedded Physics Simulations from Static Textbook Diagramscited by 6
- 2024Everyday AR through AI-in-the-Loopcited by 2
- 2025Reality Proxy: Fluid Interactions with Real-World Objects in MR via Abstract Representationscited by 1
- 2024RealitySummary: Exploring On-Demand Mixed Reality Text Summarization and Question Answering using Large Language Modelscited by 0
- 2025Empowering Children to Create AI-Enabled Augmented Reality Experiencescited by 0
- 2026CircuTutor: Transforming Static Circuit Problems into Intelligent and Dynamic Tutoringcited by 0
- 2026CircuTutor: Transforming Static Circuit Problems into Intelligent and Dynamic Tutoring8 Sep 2026
- 2025Empowering Children to Create AI-Enabled Augmented Reality Experiences11 Aug 2025
- 2025Reality Proxy: Fluid Interactions with Real-World Objects in MR via Abstract Representations23 Jul 2025
- 2024Everyday AR through AI-in-the-Loop17 Dec 2024
- 2024RealitySummary: Exploring On-Demand Mixed Reality Text Summarization and Question Answering using Large Language Models28 May 2024
- 2024Augmented Physics: Creating Interactive and Embedded Physics Simulations from Static Textbook Diagrams28 May 2024
- 2024Augmented Object Intelligence with XR-Objects20 Apr 2024