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(PDF) Ontology-based smart learning environment for teaching word problems in mathematics
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false; window.loswp.work = {"work":{"id":53163530,"created_at":"2021-09-21T15:13:28.664-07:00","from_world_paper_id":173800005,"updated_at":"2024-11-24T06:07:15.356-08:00","_data":{"publisher":"Springer Nature","grobid_abstract":"This paper demonstrates how to use MONTO-machine-readable ontology for teaching word problems in mathematics. MONTO is a combination of various ontologies. After presenting a review of the literature of problem solving and math education, this paper presents a framework that is used for evaluation of the systems available in the literature for teaching problem solving in mathematics. This paper analyzes the existing systems and evaluates them against the framework to state the gaps. It also describes MONTO and demonstrates its use. This paper also discusses how the use of MONTO bridges the gaps found in the literature of tutoring systems used for teaching problem solving. A description of the system implemented using MONTO is included along with the key functionalities of the system derived from the ontology. A discussion of how these functionalities are useful for teaching word problems is included too. This paper also presents the results of a small-scale study conducted to evaluate the functionalities that are derived from the ontology. Introduction and background A student who has been taught mathematical problem solving can be strong in analyzing a large amount of quantitative data, can use mathematics in practical ways, and can be analytical both in thinking for herself and in examining the arguments put","publication_date":"2014,,","publication_name":"Journal of Computers in Education","grobid_abstract_attachment_id":"70080110"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"Ontology-based smart learning environment for teaching word problems in mathematics","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [34524320]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loginModal = {}; window.loginModal.appleClientId = 'edu.academia.applesignon'; window.userInChina = "false";</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":70080110,"attachmentType":"pdf"}"><img alt="First page of “Ontology-based smart learning environment for teaching word problems in mathematics”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/70080110/mini_magick20210921-1070-15kqkjv.png?1632262672" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/images/single_work_splash/adobe_icon.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">Ontology-based smart learning environment for teaching word problems in mathematics</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="34524320" href="https://independent.academia.edu/RamaniSrinivasan"><img alt="Profile image of Srinivasan Ramani" class="ds-work-card--author-avatar" src="https://0.academia-photos.com/34524320/108911496/98146622/s65_srinivasan.ramani.jpeg" />Srinivasan Ramani</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2014, Journal of Computers in Education</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">22 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 53163530; const worksViewsPath = "/v0/works/views?subdomain_param=api&work_ids%5B%5D=53163530"; const getWorkViews = async (workId) => { const response = await fetch(worksViewsPath); if (!response.ok) { throw new Error('Failed to load work views'); } const data = await response.json(); return data.views[workId]; }; // Get the view count for the work - we send this immediately rather than waiting for // the DOM to load, so it can be available as soon as possible (but without holding up // the backend or other resource requests, because it's a bit expensive and not critical). const viewCount = await getWorkViews(workId); const updateViewCount = (viewCount) => { try { const viewCountNumber = parseInt(viewCount, 10); if (viewCountNumber === 0) { // Remove the whole views element if there are zero views. document.getElementById('work-metadata-view-count')?.parentNode?.remove(); return; } const commaizedViewCount = viewCountNumber.toLocaleString(); const viewCountBody = document.getElementById('work-metadata-view-count'); if (!viewCountBody) { throw new Error('Failed to find work views element'); } viewCountBody.textContent = `${commaizedViewCount} views`; } catch (error) { // Remove the whole views element if there was some issue parsing. document.getElementById('work-metadata-view-count')?.parentNode?.remove(); throw new Error(`Failed to parse view count: ${viewCount}`, error); } }; // If the DOM is still loading, wait for it to be ready before updating the view count. if (document.readyState === "loading") { document.addEventListener('DOMContentLoaded', () => { updateViewCount(viewCount); }); // Otherwise, just update it immediately. } else { updateViewCount(viewCount); } })();</script></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">This paper demonstrates how to use MONTO-machine-readable ontology for teaching word problems in mathematics. MONTO is a combination of various ontologies. After presenting a review of the literature of problem solving and math education, this paper presents a framework that is used for evaluation of the systems available in the literature for teaching problem solving in mathematics. This paper analyzes the existing systems and evaluates them against the framework to state the gaps. It also describes MONTO and demonstrates its use. This paper also discusses how the use of MONTO bridges the gaps found in the literature of tutoring systems used for teaching problem solving. A description of the system implemented using MONTO is included along with the key functionalities of the system derived from the ontology. A discussion of how these functionalities are useful for teaching word problems is included too. This paper also presents the results of a small-scale study conducted to evaluate the functionalities that are derived from the ontology. Introduction and background A student who has been taught mathematical problem solving can be strong in analyzing a large amount of quantitative data, can use mathematics in practical ways, and can be analytical both in thinking for herself and in examining the arguments put</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":70080110,"attachmentType":"pdf","workUrl":"https://www.academia.edu/53163530/Ontology_based_smart_learning_environment_for_teaching_word_problems_in_mathematics"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":70080110,"attachmentType":"pdf","workUrl":"https://www.academia.edu/53163530/Ontology_based_smart_learning_environment_for_teaching_word_problems_in_mathematics"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div><div class="ds-signup-banner-trigger-container"><div class="ds-signup-banner-trigger ds-signup-banner-trigger-control"></div></div><div class="ds-signup-banner ds-signup-banner-control"><div id="ds-signup-banner-close-button"><button class="ds2-5-button ds2-5-button--secondary ds2-5-button--inverse"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">close</span></button></div><div class="ds-signup-banner-ctas"><img src="//a.academia-assets.com/images/academia-logo-capital-white.svg" /><h4 class="ds2-5-heading-serif-sm">Sign up for access to the world's latest research</h4><button class="ds2-5-button ds2-5-button--inverse ds2-5-button--full-width js-swp-download-button" data-signup-modal="{"location":"signup-banner"}">Sign up for free<span class="material-symbols-outlined" style="font-size: 20px" translate="no">arrow_forward</span></button></div><div class="ds-signup-banner-divider"></div><div class="ds-signup-banner-reasons"><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Get notified about relevant papers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Save papers to use in your research</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Join the discussion with peers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Track your impact</span></div></div></div><script>(() => { // Set up signup banner show/hide behavior: // 1. 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In this paper we propose a framework for an ontology-based interactive tutoring system. System is composed of four interconnected components, a tutor module, a light-weight student modeler, an assessor and a reasoning engine. The system is fully automated as tries to tutor a domain ontology without a specific curriculum or topic ontology. Our proposed approach gives extra authority to the users to explore all available information and switch between learning and evaluation based on their preferences. Thus, it seams to be more appropriate for intermediate students that have preliminary knowledge about the domain and not for novitiates.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"An ontology-based intelligent tutoring system","attachmentId":34285914,"attachmentType":"pdf","work_url":"https://www.academia.edu/7773916/An_ontology_based_intelligent_tutoring_system","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/7773916/An_ontology_based_intelligent_tutoring_system"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="1" data-entity-id="109695394" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/109695394/Intelligent_tutoring_systems_an_ontology_based_approach">Intelligent tutoring systems: an ontology-based approach</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="131570" href="https://gmu.academia.edu/KennethDeJong">Kenneth De Jong</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2004</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Intelligent tutoring systems: an ontology-based approach","attachmentId":107742911,"attachmentType":"pdf","work_url":"https://www.academia.edu/109695394/Intelligent_tutoring_systems_an_ontology_based_approach","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/109695394/Intelligent_tutoring_systems_an_ontology_based_approach"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="103414628" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/103414628/Modeling_and_Evaluation_of_the_Mathematical_Educational_Ontology">Modeling and Evaluation of the Mathematical Educational Ontology</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="12400710" href="https://independent.academia.edu/OlgaNevzorova">Olga Nevzorova</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2019</p><p class="ds-related-work--abstract ds2-5-body-sm">In this paper, we discuss the current stage of development of the educational mathematical ontology OntoMath, firstly presented by us at INTED 2019 and CICM 2019. This ontology is intended to be used as a Linked Open Data hub for mathematical education, a linguistic resource for intelligent mathematical language processing and an end-user reference educational database. The ontology is organized in three layers: a foundational ontology layer, a domain ontology layer and a linguistic layer. The domain ontology layer contains language-independent concepts, covering secondary school mathematics curriculum. The linguistic layer provides linguistic grounding for these concepts, and the foundation ontology layer provides them with meta-ontological annotations. Our current work is dedicated to development of prerequisite relationships of the OntoMath ontology. We introduce these relationships by manual arrangement of the concepts of OntoMath by educational levels. After that, we conduct pr...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Modeling and Evaluation of the Mathematical Educational Ontology","attachmentId":103427970,"attachmentType":"pdf","work_url":"https://www.academia.edu/103414628/Modeling_and_Evaluation_of_the_Mathematical_Educational_Ontology","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/103414628/Modeling_and_Evaluation_of_the_Mathematical_Educational_Ontology"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="10778861" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/10778861/A_Novel_Framework_for_Math_Word_Problem_Solving">A Novel Framework for Math Word Problem Solving</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="67546360" href="https://independent.academia.edu/KyleMorton7">Kyle Morton</a><span>, </span><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="26238130" href="https://coloradotech.academia.edu/YanzhenQu">Yanzhen Qu</a></div><p class="ds-related-work--metadata ds2-5-body-xs">International Journal of Information and Education Technology, 2013</p><p class="ds-related-work--abstract ds2-5-body-sm">Mathematical word problems represent many real world scenarios. Often timesfound difficult to solve. The reason for their difficulty is because of miscomprehension and the inability to formulate a mathematical representation of the text. In this paper we present a framework based on fuzzy logicontology model that interprets a mathematical word problem in natural language and compute a solution. This framework uses ontology as a working memory and search engine to compute the solution. Fuzzy logic is used to determine the confidence of result returned, which could eliminate the confusion for a user trying to determine if the solution provided is correct. The ability to interpret a mathematical word problem and return a detailed solution will help educated users by providing them detailed steps of a solution.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"A Novel Framework for Math Word Problem Solving","attachmentId":47133517,"attachmentType":"pdf","work_url":"https://www.academia.edu/10778861/A_Novel_Framework_for_Math_Word_Problem_Solving","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/10778861/A_Novel_Framework_for_Math_Word_Problem_Solving"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="98600761" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/98600761/Ontology_A_Tool_for_Managing_Domain_Module_in_an_Intelligent_Tutoring_System">Ontology A Tool for Managing Domain Module in an Intelligent Tutoring System</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="234751052" href="https://independent.academia.edu/SalisuMuhammad39">Salisu Muhammad</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Third International Conference on Advances in Computing, Electronics and Electrical Technology - CEET 2015, 2015</p><p class="ds-related-work--abstract ds2-5-body-sm">ABSTARCT-The intelligent tutoring systems (ITS) is the most recent alternative advancement to human tutors in the teaching and learning processes in today's educational environments that started over the past three decades. The main goal of an ITS is to help students to achieve maximum learning gain and improve their skills acquisition in a particular domain. For an intelligent tutoring system to be very effective in accomplishing these tasks, the system must be equipped with an explicit representation of the domain knowledge that is the subject of the learning activity (Domain model). But the task of acquiring and designing an effective domain knowledge representation is always challenging and difficult that has been the main concern of so many research projects in the fields of ITS and other artificial intelligence (AI) domains.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Ontology A Tool for Managing Domain Module in an Intelligent Tutoring System","attachmentId":99906475,"attachmentType":"pdf","work_url":"https://www.academia.edu/98600761/Ontology_A_Tool_for_Managing_Domain_Module_in_an_Intelligent_Tutoring_System","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/98600761/Ontology_A_Tool_for_Managing_Domain_Module_in_an_Intelligent_Tutoring_System"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="35404221" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/35404221/An_orientation_and_remediation_tool_for_solving_mathematical_exercises_for_secondary_education">An orientation and remediation tool for solving mathematical exercises for secondary education</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="69145788" href="https://uah.academia.edu/ScienceParkResearchOrganizationCounselling">Science Park Research Organization & Counselling</a></div><p class="ds-related-work--abstract ds2-5-body-sm">The personalized assistance of students in solving mathematical exercises (Problem) is at the heart of mathematical learning in elementary school. This specific activity attached to mathematics caught the attention of many researchers in mathematics education (Charnay &, 1987; Houdement,1999), but also in cognitive psychology (Vergnaud, 1997; Fayol&,1996). In science, problem solving takes a prominent place. Generally, this is the method used to diagnose the problems and deficiencies student and to assess its mastery to various didactic concepts. It is therefore important to help the student in solving exercises, diagnose problems and intervene appropriately based on their profile. The purpose of this article is to make a model (Onto E-orientation-Math-Bridge) to guide the Moroccan profile to the most appropriate exercises to his skills, preferences and motivation. This model allows to mix two models: E-orientation model (Guerss F., Ait daoud M. & al, 2014; Guerss F., Ait daoud M. & al, 2015) that allows the orientation of Moroccan students remotely according to their profiles And extended ontology of Math-Bridge project (Lmati &, 2014). This allows to structure the mathematics courses as pedagogical concepts PC (Definition, theorem,...) linked by semantic relations. These concepts may be useful to specify evaluation exercises according to themes and sub-themes mathematics. Each of theme is attached to a given level which characterizes the Profile. Keywords: Profile, Exercise, Ontology, E-orientation, Math-Bridge, E-orientation-Math-Bridge.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"An orientation and remediation tool for solving mathematical exercises for secondary education","attachmentId":55264539,"attachmentType":"pdf","work_url":"https://www.academia.edu/35404221/An_orientation_and_remediation_tool_for_solving_mathematical_exercises_for_secondary_education","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/35404221/An_orientation_and_remediation_tool_for_solving_mathematical_exercises_for_secondary_education"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="697590" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/697590/Development_of_an_Intelligent_Tutorial_System_to_Enhance_Students_Mathematical_Competence_in_Problem_Solving">Development of an Intelligent Tutorial System to Enhance Students' Mathematical Competence in Problem Solving</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="514999" href="https://umontreal.academia.edu/PhilippeRRichard">Philippe R. Richard</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Actes de la E-Learn …, 2005</p><p class="ds-related-work--abstract ds2-5-body-sm">This paper presents work related to the development of an intelligent tutoring system called TURING (French acronym of «TUtoRiel INtelligent en Géométrie»). TURING is a multidisciplinary project, that joints recent research in didactic of mathematics with the possibilities of computer-based learning environments. From the educational point of view, the system is helpful for the secondary school student to improve problem solving aptitudes, mathematical reasoning abilities and communication skills using natural and mathematical language. In addition, the system is helpful to assist the teacher in his responsibility of attending the diversity of the development of mathematical competences in a whole class. From the technical point of view, the TURING architecture is a multi-agent system conceived in a flexible approach so that a teacher can adjust the heuristic and discursive features according to specific practices with real students. In particular, for the discovery of a conjecture or for the realization of a mathematical proof, the system consents to adapt, in the problem solving process, the space of meaningful actions and, in argumentative process, the set of strategic messages with pedagogical agents.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Development of an Intelligent Tutorial System to Enhance Students' Mathematical Competence in Problem Solving","attachmentId":3914064,"attachmentType":"","work_url":"https://www.academia.edu/697590/Development_of_an_Intelligent_Tutorial_System_to_Enhance_Students_Mathematical_Competence_in_Problem_Solving","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/697590/Development_of_an_Intelligent_Tutorial_System_to_Enhance_Students_Mathematical_Competence_in_Problem_Solving"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="10915141" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/10915141/Development_of_support_facilities_for_arithmetical_word_problem_exercises_in_intelligent_tutoring_system">Development of support facilities for arithmetical word problem exercises in intelligent tutoring system</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="26478968" href="https://independent.academia.edu/TsukasaHirashima">Tsukasa Hirashima</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Electronics and Communications in Japan Part Iii-fundamental Electronic Science, 1992</p><p class="ds-related-work--abstract ds2-5-body-sm">In the problem solving of the arithmetical word problems, the process until the solution method is identified as the most important.It is necessary to design and develop the basic functions for exercise problem support in an intelligent tutoring system (ITS), such as problem solving, problem generation, and problem explanation, aiming at the support for the identification of the solution method. In this study, those three basic functions are realized based on the problem-solving method MIPS (model of indexing in problem solving).This paper describes the problem-solving module, the problem-generation module and the problem-explanation module. The problem-solving module not only solves the arithmetical word problem but also generates the cognitive description of the identification process for the solution method. The problem-generation module can generate the problem which specifies what students should do in the identification process. The problem explanation module can indicate the equivalence and difference between any two problems concerning the identification process.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Development of support facilities for arithmetical word problem exercises in intelligent tutoring system","attachmentId":47029508,"attachmentType":"pdf","work_url":"https://www.academia.edu/10915141/Development_of_support_facilities_for_arithmetical_word_problem_exercises_in_intelligent_tutoring_system","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/10915141/Development_of_support_facilities_for_arithmetical_word_problem_exercises_in_intelligent_tutoring_system"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="26297577" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/26297577/A_Pedagogical_Ontology_as_a_Playground_in_Adaptive_Elearning_Environments">A Pedagogical Ontology as a Playground in Adaptive Elearning Environments</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="50216848" href="https://independent.academia.edu/AStreicher">Alexander Streicher</a></div><p class="ds-related-work--abstract ds2-5-body-sm">In former concepts for programmed instruction (PI), intelligent tutoring sys tems (ITS), adaptive learning environments (ALE), and pedagogical recom mender system (PRE) learning is understood as similar to algorithms as a clearly describable, logical, and in this respect serious process. With this background it is attempted to create a complete description of teaching and learning for a precise support and control of learning processes in order to re place teachers. In contrast to this concept, learning in pedagogy is usually conceived as a process that cannot be fully described or understood. Teaching and learning require human understanding and thus human communication is necessary to foster learning. From this perspective, the possibilities for PI, ITS, ALE and PRE are restricted. It is assumed that within these restrictions reasonable concepts can be developed. As one approach it is suggested to re fer to the pedagogical theory of play and the understanding of pedagogical actions as art. Based on these approaches we understand the design of auto matic educational reasoning (AER) systems for learning like the creation of tools for artists. As tools we suggest a pedagogical ontology, a learner model and a reasoning engine. With these tools, teachers can create playground equipment that is played with by students. .</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"A Pedagogical Ontology as a Playground in Adaptive Elearning Environments","attachmentId":46611395,"attachmentType":"pdf","work_url":"https://www.academia.edu/26297577/A_Pedagogical_Ontology_as_a_Playground_in_Adaptive_Elearning_Environments","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/26297577/A_Pedagogical_Ontology_as_a_Playground_in_Adaptive_Elearning_Environments"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="84684226" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/84684226/Modeling_of_Didactic_Relationships_in_the_OntoMathEDU_Educational_Mathematical_Ontology">Modeling of Didactic Relationships in the OntoMathEDU Educational Mathematical Ontology</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="12400710" href="https://independent.academia.edu/OlgaNevzorova">Olga Nevzorova</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2021</p><p class="ds-related-work--abstract ds2-5-body-sm">We discuss the system of didactic relationships of the OntoMath educational mathematical ontology. OntoMath is a central component of the digital educational platform under development at Kazan Federal University, which is intended for solving such tasks as automatic knowledge tests generation and automatic recommendation of educational materials according to an individual study plan. The ontology is organized into three layers: a foundational ontology layer, a domain ontology layer, and a linguistic layer. The domain ontology layer contains math languageindependent concepts from secondary school mathematics curriculums. The concepts are provided with labels in Russian, English, Spanish and Tatar. The system of didactic relationships reflects how the concepts are studied in the actual educational process according to a corresponding national curriculum. The system defines two basic didactic relations: the prerequisite relation and the relation between a concept and its educational l...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Modeling of Didactic Relationships in the OntoMathEDU Educational Mathematical Ontology","attachmentId":89621021,"attachmentType":"pdf","work_url":"https://www.academia.edu/84684226/Modeling_of_Didactic_Relationships_in_the_OntoMathEDU_Educational_Mathematical_Ontology","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/84684226/Modeling_of_Didactic_Relationships_in_the_OntoMathEDU_Educational_Mathematical_Ontology"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":70080110,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":70080110,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_70080110" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. You can download the paper by clicking the button above.</p></div></div></div></div><div class="ds-sidebar--container js-work-sidebar"><div class="ds-related-content--container"><h2 class="ds-related-content--heading">Related papers</h2><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="0" data-entity-id="120451236" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/120451236/Enhancement_and_use_of_a_mathematical_ontology_in_a_tutorial_dialog_system">Enhancement and use of a mathematical ontology in a tutorial dialog system</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="308832886" href="https://independent.academia.edu/DTsovaltzi">Dimitra Tsovaltzi</a></div><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline 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href="https://www.academia.edu/27392164/Intelligent_Tutoring_Tools_A_problem_solving_framework_for_learning_and_assessment">Intelligent Tutoring Tools���A problem solving framework for learning and assessment</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="42055568" href="https://dmu.academia.edu/AshokPatel">Ashok Patel</a></div><p class="ds-related-work--metadata ds2-5-body-xs">1996</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Intelligent Tutoring Tools���A problem solving framework for learning and assessment","attachmentId":47647166,"attachmentType":"pdf","work_url":"https://www.academia.edu/27392164/Intelligent_Tutoring_Tools_A_problem_solving_framework_for_learning_and_assessment","alternativeTracking":true}"><span class="material-symbols-outlined" 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Analysis 1</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="8329452" href="https://independent.academia.edu/imanelmati">imane lmati</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2014</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"A New Approach for Generating Exercises Based Ontologies : A Case Study of Courses in Mathematical Analysis 1","attachmentId":77830675,"attachmentType":"pdf","work_url":"https://www.academia.edu/66765152/A_New_Approach_for_Generating_Exercises_Based_Ontologies_A_Case_Study_of_Courses_in_Mathematical_Analysis_1","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a 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ds2-5-body-sm ds2-5-body-link" data-author-id="4271329" href="https://yuntech.academia.edu/WingKwongWong">Wing-Kwong Wong</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Computers & Education, 2007</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"LIM-G: Learner-initiating instruction model based on cognitive knowledge for geometry word problem comprehension","attachmentId":31285901,"attachmentType":"pdf","work_url":"https://www.academia.edu/3581645/LIM_G_Learner_initiating_instruction_model_based_on_cognitive_knowledge_for_geometry_word_problem_comprehension","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/3581645/LIM_G_Learner_initiating_instruction_model_based_on_cognitive_knowledge_for_geometry_word_problem_comprehension"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="5" data-entity-id="81653701" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/81653701/An_ontology_for_building_a_conceptual_problem_solving_model">An ontology for building a conceptual problem solving model</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="45951638" href="https://independent.academia.edu/RiichiroMizoguchi">Riichiro Mizoguchi</a></div><p class="ds-related-work--metadata ds2-5-body-xs">1998</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"An ontology for building a conceptual problem solving model","attachmentId":87623781,"attachmentType":"pdf","work_url":"https://www.academia.edu/81653701/An_ontology_for_building_a_conceptual_problem_solving_model","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/81653701/An_ontology_for_building_a_conceptual_problem_solving_model"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="6" data-entity-id="22852248" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/22852248/Solving_mathematical_problems_using_knowledge_based_systems">Solving mathematical problems using knowledge-based systems</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="44510083" href="https://independent.academia.edu/RababWard">Rabab Ward</a><span>, </span><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="44576626" href="https://wlu-ca.academia.edu/MaherAhmed">Maher Ahmed</a><span>, </span><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="44781094" href="https://independent.academia.edu/NawwafKharma">Nawwaf Kharma</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Mathematics and Computers in Simulation, 2004</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Solving mathematical problems using knowledge-based systems","attachmentId":43394470,"attachmentType":"pdf","work_url":"https://www.academia.edu/22852248/Solving_mathematical_problems_using_knowledge_based_systems","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/22852248/Solving_mathematical_problems_using_knowledge_based_systems"><span 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