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Visual Learning of Arithmetic Operations

Yedid Hoshen, Shmuel Peleg
<span title="2015-11-27">2015</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
A simple Neural Network model is presented for end-to-end visual learning of arithmetic operations from pictures of numbers. The input consists of two pictures, each showing a 7-digit number.  ...  This indicates that addition is a simple cognitive task, which can be learned visually using a very small number of neurons.  ...  Introduction Visual learning of arithmetic operations is naturally broken into two sub-tasks: A perceptual sub-task of optical character recognition (OCR) and a cognitive sub-task of learning arithmetic  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1506.02264v2">arXiv:1506.02264v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/e7hyqxp2wfhhtotp76ijauuwzy">fatcat:e7hyqxp2wfhhtotp76ijauuwzy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191017171142/https://arxiv.org/pdf/1506.02264v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/65/60/65604470c4de621724a5856b1ddc7b31852fc27d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1506.02264v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Visual Learning of Arithmetic Operation

Yedid Hoshen, Shmuel Peleg
<span title="2016-03-05">2016</span> <i title="Association for the Advancement of Artificial Intelligence (AAAI)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wtjcymhabjantmdtuptkk62mlq" style="color: black;">PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE</a> </i> &nbsp;
A simple Neural Network model is presented for end-to-end visual learning of arithmetic operations from pictures of numbers. The input consists of two pictures, each showing a 7-digit number.  ...  This indicates that addition is a simple cognitive task, which can be learned visually using a very small number of neurons.  ...  Introduction Visual learning of arithmetic operations is naturally broken into two sub-tasks: A perceptual sub-task of optical character recognition (OCR) and a cognitive sub-task of learning arithmetic  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1609/aaai.v30i1.9882">doi:10.1609/aaai.v30i1.9882</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lu3iowfnnrchpdtddurimtqrmm">fatcat:lu3iowfnnrchpdtddurimtqrmm</a> </span>
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BILANGAN BULAT SISWA KELAS 4 MELALUI MEDIA VISUAL INTERAKTIF IMPROVING MOTIVATION AND INTEGER ARITHMETIC OPERATION LEARNING ACHIEVEMENT OF THE 4 th GRADE STUDENTS THROUGH INTERACTIVE VISUAL MEDIA

Erni Dwi, Endarwati Dan, Djamilah Bondan, Widjajanti Sdn, Paliyan Iv Gunungkidul, Universitas Yogyakarta
<span class="release-stage">unpublished</span>
The results reveals that interactive visual media could improve the students' motivation and learning achievement of integer arithmetic operations of the 4 th grade students.  ...  Kata kunci : motivasi, prestasi belajar, operasi hitung bilangan bulat, media visual interaktif Abstract This research aims to improve motivation and learning achievement of integer arithmetic operations  ...  The effect of technology on learner attention and achievement in the classroom. South african journal of education 33 (2),1-15. Briggs, M., Woodfield, A., Martin, C., & Swatton, P. (2009).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/eoqfwqjqgzfqjdmxnafzvquax4">fatcat:eoqfwqjqgzfqjdmxnafzvquax4</a> </span>
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Persistent perceptual grouping effects in the evaluation of simple arithmetic expressions

Jessie Rivera, Patrick Garrigan
<span title="2016-02-17">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ajltsigzdbc6zo6q2oqboml2gi" style="color: black;">Memory &amp; Cognition</a> </i> &nbsp;
Goldstone (2007a, 2010) demonstrated that an explicit rule, operator precedence for simple arithmetic expressions, is enforced in part by perceptual processes like unit formation and attention.  ...  We found that perceptual-grouping effects persisted in the masking condition, suggesting that the mental representations of arithmetic expressions retain visuospatial characteristics.  ...  of operator precedence in arithmetic operations.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3758/s13421-016-0593-z">doi:10.3758/s13421-016-0593-z</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/26887867">pmid:26887867</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iuhlhhqr2rc4xl45g2wi4xmyla">fatcat:iuhlhhqr2rc4xl45g2wi4xmyla</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180725135648/https://link.springer.com/content/pdf/10.3758%2Fs13421-016-0593-z.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/1d/78/1d780ede6979c3e6417860f23315450d260cd983.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3758/s13421-016-0593-z"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Sequential Coordination of Deep Models for Learning Visual Arithmetic [article]

Eric Crawford, Guillaume Rabusseau, Joelle Pineau
<span title="2018-09-13">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Consider a visual arithmetic task, where the goal is to carry out simple arithmetical algorithms on digits presented under natural conditions (e.g. hand-written, placed randomly).  ...  The resulting model is able to solve a variety of tasks in the visual arithmetic domain, and has several advantages over standard, architecturally homogeneous feedforward networks including improved sample  ...  Visual Arithmetic. Past work has looked at learning arithmetic operations from visual input.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1809.04988v1">arXiv:1809.04988v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2iyvqtoh65asjefqazbcfo7mni">fatcat:2iyvqtoh65asjefqazbcfo7mni</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200925081811/https://arxiv.org/pdf/1809.04988v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d3/fd/d3fdb3addd8189e1046acc8b226d6837885c78af.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1809.04988v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

DEVELOPING INTERACTIVE LEARNING MEDIA FOR SCHOOL LEVEL MATHEMATICS THROUGH OPEN-ENDED APPROACH AIDED BY VISUAL BASIC APPLICATION FOR EXCEL

Euis Eti Rohaeti, Martin Bernard, Restu Bias Primandhika
<span title="2019-01-01">2019</span> <i title="Indonesian Mathematical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/raybwzvawndwdgnoceythx5nbi" style="color: black;">Journal on Mathematics Education</a> </i> &nbsp;
method of Visual Basic Application for Excel found; (2) Students creativity in creating interactive learning media is the combination of their mastery towards school level mathematics and the ability  ...  The subject contained 35 students in experiment class and 33 students in the control class, where the creativity of their learning media is reviewed and is analysed using SPSS.  ...  knowing Microsoft Excel function. 40% of them like arithmetic operation but students could relate 42.8% geometry like shapes and solids and 28.57% development of arithmetic concepts like fraction, exponents  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.22342/jme.10.1.5391.59-68">doi:10.22342/jme.10.1.5391.59-68</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xyhes7ynlzhallmgeyaybvzgsy">fatcat:xyhes7ynlzhallmgeyaybvzgsy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190429045036/https://ejournal.unsri.ac.id/index.php/jme/article/download/5391/pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e2/ef/e2efbab4720d690be40c2be3dc69b6b15f83bbdd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.22342/jme.10.1.5391.59-68"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Enhanced Interactive Mathematical Learning Courseware Using Mental Arithmetic for Preschool Children [chapter]

Siti Zulaiha Ahmad, Noor Asmaliyana Ahmad, Arifah Fasha Rosmani, Umi Hanim Mazlan, Mohammad Hafiz Ismail
<span title="2014-11-02">2014</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/buexlaapefetfatuvtspxuwmve" style="color: black;">Lecture Notes in Electrical Engineering</a> </i> &nbsp;
The addition operation has been designed to apply the finger-brain approach which is a part of mental arithmetic technique while, mental-imagery approach is adapted for subtraction operation.  ...  of numbers, ii) implementation of standard written method and, iii) video support to visualize both techniques.  ...  arithmetic learning process.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-07674-4_94">doi:10.1007/978-3-319-07674-4_94</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/q3ynvvy5mjcf7nvpmgocj2c7ri">fatcat:q3ynvvy5mjcf7nvpmgocj2c7ri</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810084511/http://ajbasweb.com/old/ajbas/2014/Special%205/18-24.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3a/f8/3af80137fcc236c83727cc6e3e8b6d174c4f83b6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-07674-4_94"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

An Introductory of Mental Arithmetic Using Interactive Multimedia for Pre-School Children

Siti Zulaiha Ahmad, Arifah Fasha Rosmani, Mohammad Hafiz Ismail, Suraya Shakeri
<span title="2010-10-20">2010</span> <i title="Canadian Center of Science and Education"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/e3eberciqvbc3am2h4ordzdxu4" style="color: black;">Computer and Information Science</a> </i> &nbsp;
Arithmetic is an important skill to learn at an early age.  ...  The contents have been specifically designed to visualize the introduction of numbers and to encourage children's interaction by drawing their attention to the courseware.  ...  In order to simplify the learning process we have adapted a part of mental arithmetic technique to visualize it in a simple way.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5539/cis.v3n4p72">doi:10.5539/cis.v3n4p72</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nubq7mv3l5a5vjnqb4ounwu4r4">fatcat:nubq7mv3l5a5vjnqb4ounwu4r4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20101121033121/http://ccsenet.org/journal/index.php/cis/article/viewFile/6553/6115" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/92/9b/929bf32958d0ba6dc579ef76abe413a952caaa04.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5539/cis.v3n4p72"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

The Semantics and Grammar of Arithmetic Language: (Or, What Is "Meaning" in Arithmetic?)

J. Allen Hickerson
<span title="">1955</span> <i title="National Council of Teachers of Mathematics"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/affejqtxmvhiphgd5skawnqjay" style="color: black;">The Arithmetic Teacher</a> </i> &nbsp;
Ask a woman to close her eyes and tell you what she visualizes when you say the word handsome. Ask a man to do the same and tell you what be visualizes when you say the word pretty.  ...  Now ask both to close their eyes and tell what they visualize when you say two hundred eighty-six.  ...  Applying the same kind of learning pro- cedure to arithmetic-language, children should learn to express quantities and quantitative relationships with arithmet- ical symbols before they study the intri  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5951/at.2.1.0012">doi:10.5951/at.2.1.0012</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/77woltb74fc37dgcpvay2nbaba">fatcat:77woltb74fc37dgcpvay2nbaba</a> </span>
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Page 302 of None Vol. 48, Issue 4 [page]

<span title="">1954</span> <i title="American Psychological Association"> <a target="_blank" rel="noopener" href="https://archive.org/details/None" style="color: black;">None</a> </i> &nbsp;
These results indicate that extra-task per- formance on a mental arithmetic task can be used to measure an aspect of learning of a visual-motor task which is not reflected by the scores on the motor task  ...  A mental arithmetic task was added either early or late in practice on the visual-motor task.  ... 
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Teaching arithmetic in the junior high school

Foster E. Grossnickle
<span title="">1954</span> <i title="National Council of Teachers of Mathematics"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/lozfh5qpabcmnd5pl6sel2h6fy" style="color: black;">Mathematics Teacher</a> </i> &nbsp;
The author points out that the acceptance of a theory of learning which emphasizes meaning and changing promotion policies in the elementary school must have an effect on the curriculum in the junior high  ...  When a student uses manipulative or visual materials in dealing with quantities, he operates at a low level of abstraction.  ...  The group of fast learners in arithmetic needs much less work with objective and visual materials than the other groups.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5951/mt.47.8.0520">doi:10.5951/mt.47.8.0520</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5hbakzk6qjb73gkqnh32l2f3ca">fatcat:5hbakzk6qjb73gkqnh32l2f3ca</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/details/sim_mathematics-teacher_1954-12_47_8/page/520" title="read fulltext microfilm" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Archive [Microfilm] <div class="menu fulltext-thumbnail"> <img src="https://archive.org/serve/sim_mathematics-teacher_1954-12_47_8/__ia_thumb.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5951/mt.47.8.0520"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

How visual experience and task context modulate the use of internal and external spatial coordinate for perception and action

Virginie Crollen, Tiffany Spruyt, Pierre Mahau, Roberto Bottini, Olivier Collignon
<span title="2019-02-07">2019</span> <i title="American Psychological Association (APA)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/56hvd5qfnjepfok2bljk5bfdsy" style="color: black;">Journal of Experimental Psychology: Human Perception and Performance</a> </i> &nbsp;
("Simon effect") independently of the hands position.  ...  Crucially, both tasks were carried out under task instructions either favoring the use of an internal (left vs. right hand) or an external (left vs. right hemispace) frame of reference.  ...  The authors are also grateful to André Crollen and Marie-Claude Lemaire-Crollen for their help in the construction of the training material.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1037/xhp0000598">doi:10.1037/xhp0000598</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/30730176">pmid:30730176</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yy35mpgdbnb2jmwrsup54fkpxm">fatcat:yy35mpgdbnb2jmwrsup54fkpxm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200507154048/https://cpplab.be/wp-content/uploads/2019/11/Criollen_JECP2020.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c6/fc/c6fc2749aa75189ac87775a3bf83c004b317f569.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1037/xhp0000598"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Page 110 of The Arithmetic Teacher Vol. 5, Issue 3 [page]

<span title="">1958</span> <i title="National Council of Teachers of Mathematics"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_arithmetic-teacher" style="color: black;">The Arithmetic Teacher </a> </i> &nbsp;
Findings prompted the conclusion that exposing pupils to errors in addition and subtraction of common frac- tions did not affect their learning of these operations adversely. 2. ANDERSON, GeorGE R.  ...  Reports a study “. . . to learn what effect, if any, a kit of sixteen visual-tactual devices had upon the learning of a unit involving areas, volumes, and the Pythagorean rela- tionship in eighth grade  ... 
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The Drilling Method Application Using Abacus to Arithmetic Operations Skills in Student with Hearing Impairment at Special School

Endang Rusyani, Een Ratnengsih, Andri Syah Putra, Rina Maryanti, Dwi Fitria Al Husaeni, Risti Ragadhita
<span title="2021-12-11">2021</span> <i title="Universitas Pendidikan Indonesia (UPI)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3h2jebv5nnftjimpkkbteeynku" style="color: black;">Indonesian Journal of Community and Special Needs Education</a> </i> &nbsp;
The results of this study are expected to contribute to developing special education related to the application of the drilling method using abacus media to improve arithmetic operations skills in learning  ...  The drilling method was used in the learning process. In addition, the abacus media was also used in the subtraction arithmetic operation material in learning mathematics.  ...  Then the application of the drill method with the abacus media which is visual, direct learning, not difficult, is assumed to improve the operational skills of calculating savings and loans reduction in  ... 
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Spatial Working Memory and Arithmetic Deficits in Children With Nonverbal Learning Difficulties

Irene Cristina Mammarella, Daniela Lucangeli, Cesare Cornoldi
<span title="2010-04-07">2010</span> <i title="SAGE Publications"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/7ya5ppr4tjgp7mga2jht255yjm" style="color: black;">Journal of Learning Disabilities</a> </i> &nbsp;
Visuospatial working memory and its involvement in arithmetic were examined in two groups of 7-to 11-year-olds: one comprising children described by teachers as displaying symptoms of nonverbal learning  ...  The children were presented with a visuospatial working memory battery of recognition tests involving visual, spatial-sequential and spatial-simultaneous processes, and two arithmetic tasks (number ordering  ...  Declaration of Conflicting Interests The authors declared no conflicts of interest with respect to the authorship and/or publication of this article.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1177/0022219409355482">doi:10.1177/0022219409355482</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/20375290">pmid:20375290</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/v5haaswexbdhvkjnyq6chz3bkq">fatcat:v5haaswexbdhvkjnyq6chz3bkq</a> </span>
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