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Article

MathPad²: a system for the creation and exploration of mathematical sketches

Authors:

Joseph J. LaViola, Jr.,

Robert C. ZeleznikAuthors Info & Claims

SIGGRAPH '04: ACM SIGGRAPH 2004 Papers

Pages 432 - 440

https://doi.org/10.1145/1186562.1015741

Published: 01 August 2004 Publication History

Abstract

We present mathematical sketching, a novel, pen-based, modeless gestural interaction paradigm for mathematics problem solving. Mathematical sketching derives from the familiar pencil-and-paper process of drawing supporting diagrams to facilitate the formulation of mathematical expressions; however, with a mathematical sketch, users can also leverage their physical intuition by watching their hand-drawn diagrams animate in response to continuous or discrete parameter changes in their written formulas. Diagram animation is driven by implicit associations that are inferred, either automatically or with gestural guidance, from mathematical expressions, diagram labels, and drawing elements. The modeless nature of mathematical sketching enables users to switch freely between modifying diagrams or expressions and viewing animations. Mathematical sketching can also support computational tools for graphing, manipulating and solving equations; initial feedback from a small user group of our mathematical sketching prototype application, MathPad², suggests that it has the potential to be a powerful tool for mathematical problem solving and visualization.

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Cited By

Rosenberg KKazi RWei LXia HPerlin K(2024)DrawTalking: Building Interactive Worlds by Sketching and SpeakingProceedings of the 37th Annual ACM Symposium on User Interface Software and Technology10.1145/3654777.3676334(1-25)Online publication date: 13-Oct-2024
https://dl.acm.org/doi/10.1145/3654777.3676334
Rosenberg KKazi RWei LXia HPerlin K(2024)DrawTalking: Towards Building Interactive Worlds by Sketching and SpeakingExtended Abstracts of the CHI Conference on Human Factors in Computing Systems10.1145/3613905.3651089(1-8)Online publication date: 11-May-2024
https://dl.acm.org/doi/10.1145/3613905.3651089
Hammond TTaele PDow SMaher MKerne ALatulipe C(2019)Sketching Cognition and CreativityProceedings of the 2019 Conference on Creativity and Cognition10.1145/3325480.3326552(708-713)Online publication date: 13-Jun-2019
https://dl.acm.org/doi/10.1145/3325480.3326552
Show More Cited By

Index Terms

MathPad²: a system for the creation and exploration of mathematical sketches
1. Human-centered computing
  1. Human computer interaction (HCI)
    1. Interaction paradigms
2. Mathematics of computing
  1. Mathematical software

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MathPad²: a system for the creation and exploration of mathematical sketches
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We present mathematical sketching, a novel, pen-based, modeless gestural interaction paradigm for mathematics problem solving. Mathematical sketching derives from the familiar pencil-and-paper process of drawing supporting diagrams to facilitate the ...

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Published In

cover image ACM Conferences

SIGGRAPH '04: ACM SIGGRAPH 2004 Papers

August 2004

684 pages

ISBN:9781450378239

DOI:10.1145/1186562

Editor:
Joe Marks
Mitsubishi Electric Research Laboratories (MERL)

Copyright © 2004 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

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Association for Computing Machinery

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Published: 01 August 2004

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SIGGRAPH04: Special Interest Group on Computer Graphics and Interactive Techniques

August 8 - 12, 2004

California, Los Angeles

Acceptance Rates

SIGGRAPH '04 Paper Acceptance Rate 83 of 478 submissions, 17%;

Overall Acceptance Rate 1,822 of 8,601 submissions, 21%

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Cited By

Rosenberg KKazi RWei LXia HPerlin K(2024)DrawTalking: Building Interactive Worlds by Sketching and SpeakingProceedings of the 37th Annual ACM Symposium on User Interface Software and Technology10.1145/3654777.3676334(1-25)Online publication date: 13-Oct-2024
https://dl.acm.org/doi/10.1145/3654777.3676334
Rosenberg KKazi RWei LXia HPerlin K(2024)DrawTalking: Towards Building Interactive Worlds by Sketching and SpeakingExtended Abstracts of the CHI Conference on Human Factors in Computing Systems10.1145/3613905.3651089(1-8)Online publication date: 11-May-2024
https://dl.acm.org/doi/10.1145/3613905.3651089
Hammond TTaele PDow SMaher MKerne ALatulipe C(2019)Sketching Cognition and CreativityProceedings of the 2019 Conference on Creativity and Cognition10.1145/3325480.3326552(708-713)Online publication date: 13-Jun-2019
https://dl.acm.org/doi/10.1145/3325480.3326552
Zhang XLi XLiu YFeng F(2019)A survey on freehand sketch recognition and retrievalImage and Vision Computing10.1016/j.imavis.2019.06.01089:C(67-87)Online publication date: 1-Sep-2019
https://dl.acm.org/doi/10.1016/j.imavis.2019.06.010
Hammond TKumar SRunyon MCherian JWilliford BKeshavabhotla SValentine SLi WLinsey J(2018)It’s Not Just about AccuracyACM Transactions on Interactive Intelligent Systems10.1145/31816738:3(1-47)Online publication date: 13-Jul-2018
https://dl.acm.org/doi/10.1145/3181673
Wang XChen XZha Z(2018)Sketchpointnet: A Compact Network for Robust Sketch Recognition2018 25th IEEE International Conference on Image Processing (ICIP)10.1109/ICIP.2018.8451288(2994-2998)Online publication date: Oct-2018
https://doi.org/10.1109/ICIP.2018.8451288
Keshavabhotla SWilliford BKumar SHilton ETaele PLi WLinsey JHammond TWinnemoeller HBartram LGooch BGingold Y(2017)Conquering the cubeProceedings of the Symposium on Sketch-Based Interfaces and Modeling10.1145/3092907.3092911(1-11)Online publication date: 29-Jul-2017
https://dl.acm.org/doi/10.1145/3092907.3092911
Kang BKulshreshth ALaViola JNichols JMahmud JO'Donovan JConati CZancanaro M(2016)AnalyticalInkProceedings of the 21st International Conference on Intelligent User Interfaces10.1145/2856767.2856789(419-430)Online publication date: 7-Mar-2016
https://dl.acm.org/doi/10.1145/2856767.2856789
Tsandilas TBezerianos AJacob TBegole BKim JInkpen KWoo W(2015)SketchSlidersProceedings of the 33rd Annual ACM Conference on Human Factors in Computing Systems10.1145/2702123.2702129(3255-3264)Online publication date: 18-Apr-2015
https://dl.acm.org/doi/10.1145/2702123.2702129
Hagbi NGrasset RBergig OBillinghurst MEl-Sana J(2015)In-Place Sketching for Augmented Reality GamesComputers in Entertainment10.1145/2702109.263341912:3(1-18)Online publication date: 13-Feb-2015
https://dl.acm.org/doi/10.1145/2702109.2633419
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