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<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
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<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
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<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
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<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
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<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
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<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
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<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
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<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
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<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
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<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
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<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
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<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
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#uuid: "756c33ae-724e-410e-bc98-cafa7b60b620"
-isUninstalling: false
#langcode: "ru"
#third_party_settings: []
#_core: []
#trustedData: false
#entityTypeId: "base_field_override"
#enforceIsNew: null
#typedData: null
#cacheContexts: array:1 [
0 => "languages:language_interface"
]
#cacheTags: []
#cacheMaxAge: -1
#_serviceIds: []
#_entityStorages: []
#dependencies: array:1 [
"config" => array:1 [
0 => "node.type.blog"
]
]
#isSyncing: false
}
"sticky" => BaseFieldDefinition {#1532
#type: "boolean"
#propertyDefinitions: null
#schema: null
#indexes: []
#itemDefinition: FieldItemDataDefinition {#1533
#fieldDefinition: BaseFieldDefinition {#1532}
#definition: array:2 [
"type" => "field_item:boolean"
"settings" => array:2 [
"on_label" => TranslatableMarkup {#1534
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "On"
#arguments: []
}
"off_label" => TranslatableMarkup {#1535
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Off"
#arguments: []
}
]
]
#typedDataManager: null
}
#definition: array:9 [
"label" => TranslatableMarkup {#1536
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Sticky at top of lists"
#arguments: []
}
"revisionable" => true
"translatable" => true
"default_value" => array:1 [
0 => array:1 [
"value" => false
]
]
"display" => array:1 [
"form" => array:2 [
"options" => array:3 [
"type" => "boolean_checkbox"
"settings" => array:1 [
"display_label" => true
]
"weight" => 16
]
"configurable" => true
]
]
"provider" => "node"
"field_name" => "sticky"
"entity_type" => "node"
"bundle" => null
]
#typedDataManager: null
}
"default_langcode" => BaseFieldDefinition {#1537
#type: "boolean"
#propertyDefinitions: null
#schema: null
#indexes: []
#itemDefinition: FieldItemDataDefinition {#1538
#fieldDefinition: BaseFieldDefinition {#1537}
#definition: array:2 [
"type" => "field_item:boolean"
"settings" => array:2 [
"on_label" => TranslatableMarkup {#1539
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "On"
#arguments: []
}
"off_label" => TranslatableMarkup {#1540
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Off"
#arguments: []
}
]
]
#typedDataManager: null
}
#definition: array:9 [
"label" => TranslatableMarkup {#1541
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Default translation"
#arguments: []
}
"description" => TranslatableMarkup {#1542
#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 {#1543
#type: "boolean"
#propertyDefinitions: null
#schema: null
#indexes: []
#itemDefinition: FieldItemDataDefinition {#1544
#fieldDefinition: BaseFieldDefinition {#1543}
#definition: array:2 [
"type" => "field_item:boolean"
"settings" => array:2 [
"on_label" => TranslatableMarkup {#1545
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "On"
#arguments: []
}
"off_label" => TranslatableMarkup {#1546
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Off"
#arguments: []
}
]
]
#typedDataManager: null
}
#definition: array:10 [
"label" => TranslatableMarkup {#1547
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Default revision"
#arguments: []
}
"description" => TranslatableMarkup {#1548
#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 {#1549
#type: "boolean"
#propertyDefinitions: null
#schema: null
#indexes: []
#itemDefinition: FieldItemDataDefinition {#1550
#fieldDefinition: BaseFieldDefinition {#1549}
#definition: array:2 [
"type" => "field_item:boolean"
"settings" => array:2 [
"on_label" => TranslatableMarkup {#1551
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "On"
#arguments: []
}
"off_label" => TranslatableMarkup {#1552
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Off"
#arguments: []
}
]
]
#typedDataManager: null
}
#definition: array:9 [
"label" => TranslatableMarkup {#1553
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Revision translation affected"
#arguments: []
}
"description" => TranslatableMarkup {#1554
#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 {#1555
#type: "path"
#propertyDefinitions: null
#schema: null
#indexes: []
#itemDefinition: FieldItemDataDefinition {#1556
#fieldDefinition: BaseFieldDefinition {#1555}
#definition: array:2 [
"type" => "field_item:path"
"settings" => []
]
#typedDataManager: null
}
#definition: array:8 [
"label" => TranslatableMarkup {#1557
#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 {#1558
#type: "entity_reference"
#propertyDefinitions: null
#schema: null
#indexes: []
#itemDefinition: FieldItemDataDefinition {#1559
#fieldDefinition: BaseFieldDefinition {#1558}
#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 {#1560
#translatedMarkup: null
#options: []
#stringTranslation: null
#string: "Menu link"
#arguments: []
}
"description" => TranslatableMarkup {#1561
#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 {#1563
#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 {#1564
#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" => 1
"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 {#1565
#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 {#1566
#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 {#1485
#name: "Russian"
#id: "ru"
#direction: "ltr"
#weight: -10
#locked: false
}
"en" => Language {#1484
#name: "Английский"
#id: "en"
#direction: "ltr"
#weight: -9
#locked: false
}
"und" => Language {#1486
#name: "Не указано"
#id: "und"
#direction: "ltr"
#weight: 3
#locked: true
}
"zxx" => Language {#1478
#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
}
