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Mathematics Content Understanding for Cyberlearning via Formula Evolution Map

Published: 17 October 2018 Publication History

Abstract

Although the scientific digital library is growing at a rapid pace, scholars/students often find reading Science, Technology, Engineering, and Mathematics (STEM) literature daunting, especially for the math-content/formula. In this paper, we propose a novel problem, "mathematics content understanding", for cyberlearning and cyberreading. To address this problem, we create a Formula Evolution Map (FEM) offline and implement a novel online learning/reading environment, PDF Reader with Math-Assistant (PRMA), which incorporates innovative math-scaffolding methods. The proposed algorithm/system can auto-characterize student emerging math-information need while reading a paper and enable students to readily explore the formula evolution trajectory in FEM. Based on a math-information need, PRMA utilizes innovative joint embedding, formula evolution mining, and heterogeneous graph mining algorithms to recommend high quality Open Educational Resources (OERs), e.g., video, Wikipedia page, or slides, to help students better understand the math-content in the paper. Evaluation and exit surveys show that the PRMA system and the proposed formula understanding algorithm can effectively assist master and PhD students better understand the complex math-content in the class readings.

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cover image ACM Conferences
CIKM '18: Proceedings of the 27th ACM International Conference on Information and Knowledge Management
October 2018
2362 pages
ISBN:9781450360142
DOI:10.1145/3269206
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Published: 17 October 2018

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Author Tags

  1. cyberlearning
  2. education
  3. formula evolution
  4. formula layout
  5. formula understanding

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CIKM '18 Paper Acceptance Rate 147 of 826 submissions, 18%;
Overall Acceptance Rate 1,861 of 8,427 submissions, 22%

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  • (2024)EBERT: A lightweight expression-enhanced large-scale pre-trained language model for mathematics educationKnowledge-Based Systems10.1016/j.knosys.2024.112118300(112118)Online publication date: Sep-2024
  • (2021)Augmenting Scientific Papers with Just-in-Time, Position-Sensitive Definitions of Terms and SymbolsProceedings of the 2021 CHI Conference on Human Factors in Computing Systems10.1145/3411764.3445648(1-18)Online publication date: 6-May-2021
  • (2021)Evaluating Methodologies on Deep Understanding of Mathematical Formulas in Technical Documents2021 IEEE 33rd International Conference on Tools with Artificial Intelligence (ICTAI)10.1109/ICTAI52525.2021.00148(920-926)Online publication date: Nov-2021
  • (2021)Formula Citation Graph Based Mathematical Information RetrievalDocument Analysis and Recognition – ICDAR 202110.1007/978-3-030-86549-8_40(631-647)Online publication date: 2-Sep-2021
  • (2021)Handwritten Mathematical Expression Recognition with Bidirectionally Trained TransformerDocument Analysis and Recognition – ICDAR 202110.1007/978-3-030-86331-9_37(570-584)Online publication date: 2-Sep-2021
  • (2020)Task-Oriented Genetic Activation for Large-Scale Complex Heterogeneous Graph EmbeddingProceedings of The Web Conference 202010.1145/3366423.3380230(1581-1591)Online publication date: 20-Apr-2020
  • (2019)Cross-domain Aspect Category Transfer and Detection via Traceable Heterogeneous Graph Representation LearningProceedings of the 28th ACM International Conference on Information and Knowledge Management10.1145/3357384.3357989(289-298)Online publication date: 3-Nov-2019
  • (2019)Finding Camouflaged Needle in a Haystack?Proceedings of the 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval10.1145/3331184.3331197(365-374)Online publication date: 18-Jul-2019

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