Node {#1472 +in_preview: null #values: array:23 [ "nid" => array:1 [ "x-default" => "149" ] "vid" => array:1 [ "x-default" => "160" ] "type" => array:1 [ "x-default" => "blog" ] "uuid" => array:1 [ "x-default" => "af0cb702-a442-4826-8b0a-14aaf490547f" ] "langcode" => array:1 [ "x-default" => "ru" ] "revision_default" => array:1 [ "x-default" => "1" ] "revision_uid" => array:1 [ "x-default" => "30" ] "revision_timestamp" => array:1 [ "x-default" => "1706297322" ] "revision_log" => array:1 [ "x-default" => null ] "isDefaultRevision" => array:1 [ "x-default" => "1" ] "status" => array:1 [ "x-default" => "1" ] "title" => array:1 [ "x-default" => "Математика в настольных играх (программа)" ] "uid" => array:1 [ "x-default" => "30" ] "created" => array:1 [ "x-default" => "1706297296" ] "changed" => array:1 [ "x-default" => "1706298181" ] "promote" => array:1 [ "x-default" => "0" ] "sticky" => array:1 [ "x-default" => "0" ] "revision_translation_affected" => array:1 [ "x-default" => "1" ] "default_langcode" => array:1 [ "x-default" => "1" ] "body" => array:1 [ "x-default" => array:1 [ 0 => array:3 [ "value" => """ <p>Для образовательных организаций разных типов предлагаем модульную образовательную программу на базе настольных игр viaVUCA «Математика в настольных играх». Она подходит для школьников 6–8 и 9–11 классов или студентов, и в увлекательном формате углубит темы, которые приобретают все большее значение в сегодняшней реальности.</p>\r\n \r\n <p><img alt="Математика в настольных играх (программа)" data-entity-type="file" data-entity-uuid="50db3819-d02b-4c0b-8aaf-7fd38970780f" src="/sites/default/files/inline-images/DSCF7631_0.jpg" /></p>\r\n \r\n <p>Программа содержит 4 независимых модуля: <strong>теория графов, теория вероятностей, теория игр </strong>и <strong>тактическое мышление в абстрактных играх мира.</strong> Каждый из них привлекателен своей математической красотой и строгостью рассуждений.</p>\r\n \r\n <p>Ученики, изучая теорию, играя и анализируя специально подобранные игры смогут применять теорию игр, графов и вероятностей на практике в играх, увидев их глубину и приложения в современных фронтирных технологиях науки и IT. Они учатся выстраивать личные стратегии и командные взаимодействия, знакомятся с многообразием мира настольных игр, развивая тактическое и стратегическое мышление.</p>\r\n \r\n <p><img alt="Математика в настольных играх (программа)" data-entity-type="file" data-entity-uuid="b5fbb81f-95b4-4a81-b0c1-2e41dd36d797" src="/sites/default/files/inline-images/DSCF0128.jpg" /></p>\r\n \r\n <p>Раздел, посвященный абстрактным играм расширит представления об эволюции шашечных игр и их увлекательности. В нем много живых исторических сведений, свидетельства логики людей разных эпох и свобода в поиске тактических ходов для достижения победного результата. Здесь мы предлагаем обязательно провести и турнирные соревнования по изученным играм по всем правилам международных соревнований. Методическое обеспечение для простоты проведения разработано, апробировано и прилагается.</p>\r\n \r\n <p><img alt="Математика в настольных играх (программа)" data-entity-type="file" data-entity-uuid="8aedadcb-7cd8-406c-bcd4-dd9e058c4d30" src="/sites/default/files/inline-images/DSCF8955.jpg" /></p>\r\n \r\n <p>В современном мире теория игр — это востребованная математическая дисциплина во многих областях человеческой деятельности. Наряду с традиционными играми, такими как шахматы или футбол, теория игр изучает аукционы и торги, рыночную конкуренции и загрязнение окружающей среды, затрагивает области психологии и биологии. В теории игр все эти серьезные отношения называют играми, поскольку в них, как и в играх, результат зависит от решений и стратегий всех участников. Интерес к этому направлению и его успехи подтверждаются также большим количеством Нобелевских премий в области теоретико-группового подхода к экономике за последние годы. Именно как строго математизированный, но прикладной раздел и рассматривается теория игр в нашем курсе.</p>\r\n \r\n <p><img alt="Математика в настольных играх (программа)" data-entity-type="file" data-entity-uuid="86ae7e31-1251-455d-8ea4-4e819fefc842" src="/sites/default/files/inline-images/DSCF0037.jpg" /></p>\r\n \r\n <p>По ходу прохождения разделов обучающимся будут предложены не только разнообразные игры, но и задачи, в том числе математических олимпиад разных лет и междисциплинарных, таких как «Национальная технологическая олимпиады (НТО)», «Высокие технологии и материалы будущего». Программа спроектирована на 12 учащихся, занимающихся одновременно (возможно заказать комплекты также и на другое число учеников). Комплект поставки содержит набор игр по списку в таблицах ниже, образовательную программу, презентации по всем изучаемым темам, сценарии проведения турниров по древним играм и химическому лото. Расчет времени занятий производился без оценки самостоятельной работы в академических часах (1 а.ч. = 40 мин) при максимально высокой скорости освоения нового материала. По желанию курс может быть увеличен за счет решения дополнительного блока тематических задач.</p>\r\n \r\n <p><img alt="Математика в настольных играх (программа)" data-entity-type="file" data-entity-uuid="c6dbed20-cb6c-4197-b010-cbb56ac78263" src="/sites/default/files/inline-images/DSCF0054.jpg" /></p>\r\n \r\n <p>Особенностью курса является также и то, что обучающиеся в каждом модуле смогут разработать прототип своей собственной игры, протестировать его с другими учениками и оформить в виде собственной проектной работы по математике.</p>\r\n \r\n <p>Для получения КП и обсуждения пожеланий по внедрению программы пишите <a href="mailto:viavuca.games@gmail.com"><u>viavuca.games@gmail.com</u></a> или в Telegram @AlenaProsekina</p>\r\n """ "summary" => "Для образовательных организаций разных типов предлагаем модульную образовательную программу на базе настольных игр viaVUCA «Математика в настольных играх»." 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#translatedMarkup: null #options: [] #stringTranslation: null #string: "Default translation" #arguments: [] } "description" => TranslatableMarkup {#1533 #translatedMarkup: null #options: [] #stringTranslation: null #string: "A flag indicating whether this is the default translation." #arguments: [] } "translatable" => true "revisionable" => true "default_value" => array:1 [ 0 => array:1 [ "value" => true ] ] "provider" => "node" "field_name" => "default_langcode" "entity_type" => "node" "bundle" => null ] #typedDataManager: null } "revision_default" => BaseFieldDefinition {#1534 #type: "boolean" #propertyDefinitions: null #schema: null #indexes: [] #itemDefinition: FieldItemDataDefinition {#1535 #fieldDefinition: BaseFieldDefinition {#1534} #definition: array:2 [ "type" => "field_item:boolean" "settings" => array:2 [ "on_label" => TranslatableMarkup {#1536 #translatedMarkup: null #options: [] #stringTranslation: null #string: "On" #arguments: [] } "off_label" => TranslatableMarkup {#1537 #translatedMarkup: null #options: [] #stringTranslation: null #string: "Off" #arguments: [] } ] ] #typedDataManager: null } #definition: array:10 [ "label" => TranslatableMarkup {#1538 #translatedMarkup: null #options: [] #stringTranslation: null #string: "Default revision" #arguments: [] } "description" => TranslatableMarkup {#1539 #translatedMarkup: null #options: [] #stringTranslation: null #string: "A flag indicating whether this was a default revision when it was saved." #arguments: [] } "storage_required" => true "internal" => true "translatable" => false "revisionable" => true "provider" => "node" "field_name" => "revision_default" "entity_type" => "node" "bundle" => null ] #typedDataManager: null } "revision_translation_affected" => BaseFieldDefinition {#1540 #type: "boolean" #propertyDefinitions: null #schema: null #indexes: [] #itemDefinition: FieldItemDataDefinition {#1541 #fieldDefinition: BaseFieldDefinition {#1540} #definition: array:2 [ "type" => "field_item:boolean" "settings" => array:2 [ "on_label" => TranslatableMarkup {#1542 #translatedMarkup: null #options: [] #stringTranslation: null #string: "On" #arguments: [] } "off_label" => TranslatableMarkup {#1543 #translatedMarkup: null #options: [] #stringTranslation: null #string: "Off" #arguments: [] } ] ] #typedDataManager: null } #definition: array:9 [ "label" => TranslatableMarkup {#1544 #translatedMarkup: null #options: [] #stringTranslation: null #string: "Revision translation affected" #arguments: [] } "description" => TranslatableMarkup {#1545 #translatedMarkup: null #options: [] #stringTranslation: null #string: "Indicates if the last edit of a translation belongs to current revision." #arguments: [] } "read-only" => true "revisionable" => true "translatable" => true "provider" => "node" "field_name" => "revision_translation_affected" "entity_type" => "node" "bundle" => null ] #typedDataManager: null } "path" => BaseFieldDefinition {#1546 #type: "path" #propertyDefinitions: null #schema: null #indexes: [] #itemDefinition: FieldItemDataDefinition {#1547 #fieldDefinition: BaseFieldDefinition {#1546} #definition: array:2 [ "type" => "field_item:path" "settings" => [] ] #typedDataManager: null } #definition: array:8 [ "label" => TranslatableMarkup {#1548 #translatedMarkup: null #options: [] #stringTranslation: null #string: "URL alias" #arguments: [] } "translatable" => true "display" => array:1 [ "form" => array:2 [ "options" => array:2 [ "type" => "path" "weight" => 30 ] "configurable" => true ] ] "computed" => true "provider" => "path" "field_name" => "path" "entity_type" => "node" "bundle" => null ] #typedDataManager: null } "menu_link" => BaseFieldDefinition {#1549 #type: "entity_reference" #propertyDefinitions: null #schema: null #indexes: [] #itemDefinition: FieldItemDataDefinition {#1550 #fieldDefinition: BaseFieldDefinition {#1549} #definition: array:2 [ "type" => "field_item:entity_reference" "settings" => array:3 [ "target_type" => "menu_link_content" "handler" => "default" "handler_settings" => [] ] ] #typedDataManager: null } #definition: array:10 [ "label" => TranslatableMarkup {#1551 #translatedMarkup: null #options: [] #stringTranslation: null #string: "Menu link" #arguments: [] } "description" => TranslatableMarkup {#1552 #translatedMarkup: null #options: [] #stringTranslation: null #string: "Computed menu link for the node (only available during node saving)." #arguments: [] } "revisionable" => true "translatable" => true "display" => array:2 [ "view" => array:1 [ "options" => array:2 [ "label" => "hidden" "region" => "hidden" ] ] "form" => array:1 [ "options" => array:1 [ "region" => "hidden" ] ] ] "computed" => true "provider" => "token" "field_name" => "menu_link" "entity_type" => "node" "bundle" => null ] #typedDataManager: null } "body" => FieldConfig {#1554 #deleted: false #fieldStorage: null #id: "node.blog.body" #field_name: "body" #field_type: "text_with_summary" #entity_type: "node" #bundle: "blog" #label: "Body" #description: "" #settings: array:2 [ "display_summary" => true "required_summary" => false ] #required: false #translatable: true #default_value: [] #default_value_callback: "" #itemDefinition: null #constraints: [] #propertyConstraints: [] #originalId: "node.blog.body" #status: true #uuid: "47e92243-d12a-4bda-82eb-45b45aaa587a" -isUninstalling: false #langcode: "ru" #third_party_settings: [] #_core: [] #trustedData: false #entityTypeId: "field_config" #enforceIsNew: null #typedData: null #cacheContexts: array:1 [ 0 => "languages:language_interface" ] #cacheTags: [] #cacheMaxAge: -1 #_serviceIds: [] #_entityStorages: [] #dependencies: array:2 [ "config" => array:2 [ 0 => "field.storage.node.body" 1 => "node.type.blog" ] "module" => array:1 [ 0 => "text" ] ] #isSyncing: false } "comment" => FieldConfig {#1555 #deleted: false #fieldStorage: null #id: "node.blog.comment" #field_name: "comment" #field_type: "comment" #entity_type: "node" #bundle: "blog" #label: "Comments" #description: "" #settings: array:5 [ "default_mode" => 1 "per_page" => 50 "anonymous" => 0 "form_location" => true "preview" => 0 ] #required: false #translatable: true #default_value: array:1 [ 0 => array:6 [ "status" => 2 "cid" => 0 "last_comment_timestamp" => 0 "last_comment_name" => null "last_comment_uid" => 0 "comment_count" => 0 ] ] #default_value_callback: "" #itemDefinition: null #constraints: [] #propertyConstraints: [] #originalId: "node.blog.comment" #status: true #uuid: "4e34f9e4-ce9f-4c9f-beba-f77dab3d9c23" -isUninstalling: false #langcode: "ru" #third_party_settings: [] #_core: [] #trustedData: false #entityTypeId: "field_config" #enforceIsNew: null #typedData: null #cacheContexts: array:1 [ 0 => "languages:language_interface" ] #cacheTags: [] #cacheMaxAge: -1 #_serviceIds: [] #_entityStorages: [] #dependencies: array:2 [ "config" => array:2 [ 0 => "field.storage.node.comment" 1 => "node.type.blog" ] "module" => array:1 [ 0 => "comment" ] ] #isSyncing: false } "field_category" => FieldConfig {#1556 #deleted: false #fieldStorage: null #id: "node.blog.field_category" #field_name: "field_category" #field_type: "entity_reference" #entity_type: "node" #bundle: "blog" #label: "Category" #description: "" #settings: array:2 [ "handler" => "default:taxonomy_term" "handler_settings" => array:4 [ "target_bundles" => array:1 [ "category" => "category" ] "sort" => array:1 [ "field" => "_none" ] "auto_create" => false "auto_create_bundle" => "" ] ] #required: false #translatable: false #default_value: [] #default_value_callback: "" #itemDefinition: null #constraints: [] #propertyConstraints: [] #originalId: "node.blog.field_category" #status: true #uuid: "1d87d4da-501a-4cae-8feb-d951148c47e7" -isUninstalling: false #langcode: "ru" #third_party_settings: [] #_core: [] #trustedData: false #entityTypeId: "field_config" #enforceIsNew: null #typedData: null #cacheContexts: array:1 [ 0 => "languages:language_interface" ] #cacheTags: [] #cacheMaxAge: -1 #_serviceIds: [] #_entityStorages: [] #dependencies: array:1 [ "config" => array:3 [ 0 => "field.storage.node.field_category" 1 => "node.type.blog" 2 => "taxonomy.vocabulary.category" ] ] #isSyncing: false } "field_images" => FieldConfig {#1557 #deleted: false #fieldStorage: null #id: "node.blog.field_images" #field_name: "field_images" #field_type: "image" #entity_type: "node" #bundle: "blog" #label: "Images" #description: "" #settings: array:12 [ "file_directory" => "[date:custom:Y]-[date:custom:m]" "file_extensions" => "png gif jpg jpeg" "max_filesize" => "" "max_resolution" => "" "min_resolution" => "" "alt_field" => true "alt_field_required" => true "title_field" => false "title_field_required" => false "default_image" => array:5 [ "uuid" => "" "alt" => "" "title" => "" "width" => null "height" => null ] "handler" => "default:file" "handler_settings" => [] ] #required: false #translatable: false #default_value: [] #default_value_callback: "" #itemDefinition: null #constraints: [] #propertyConstraints: [] #originalId: "node.blog.field_images" #status: true #uuid: "8917bff0-07b2-4ccf-b3d2-b4a765368a0d" -isUninstalling: false #langcode: "ru" #third_party_settings: [] #_core: [] #trustedData: false #entityTypeId: "field_config" #enforceIsNew: null #typedData: null #cacheContexts: array:1 [ 0 => "languages:language_interface" ] #cacheTags: [] #cacheMaxAge: -1 #_serviceIds: [] #_entityStorages: [] #dependencies: array:2 [ "config" => array:2 [ 0 => "field.storage.node.field_images" 1 => "node.type.blog" ] "module" => array:1 [ 0 => "image" ] ] #isSyncing: false } ] #languages: array:4 [ "ru" => Language {#1476 #name: "Russian" #id: "ru" #direction: "ltr" #weight: -10 #locked: false } "en" => Language {#1475 #name: "Английский" #id: "en" #direction: "ltr" #weight: -9 #locked: false } "und" => Language {#1477 #name: "Не указано" #id: "und" #direction: "ltr" #weight: 3 #locked: true } "zxx" => Language {#1469 #name: "Не применимо" #id: "zxx" #direction: "ltr" #weight: 4 #locked: true } ] #langcodeKey: "langcode" #defaultLangcodeKey: "default_langcode" #activeLangcode: "x-default" #defaultLangcode: "ru" #translations: array:1 [ "x-default" => array:1 [ "status" => 1 ] ] #translationInitialize: false #newRevision: false #isDefaultRevision: "1" #entityKeys: array:4 [ "bundle" => "blog" "id" => "149" "revision" => "160" "uuid" => "af0cb702-a442-4826-8b0a-14aaf490547f" ] #translatableEntityKeys: array:8 [ "label" => array:1 [ "x-default" => "Математика в настольных играх (программа)" ] "langcode" => array:1 [ "x-default" => "ru" ] "status" => array:1 [ "x-default" => "1" ] "published" => array:1 [ "x-default" => "1" ] "uid" => array:1 [ "x-default" => "30" ] "owner" => array:1 [ "x-default" => "30" ] "default_langcode" => array:1 [ "x-default" => "1" ] "revision_translation_affected" => array:1 [ "x-default" => "1" ] ] #validated: false #validationRequired: false #loadedRevisionId: "160" #revisionTranslationAffectedKey: "revision_translation_affected" #enforceRevisionTranslationAffected: [] #entityTypeId: "node" #enforceIsNew: null #typedData: null #cacheContexts: [] #cacheTags: [] #cacheMaxAge: -1 #_serviceIds: [] #_entityStorages: [] #isSyncing: false }