Библиотека журнала "Исследователь / Researcher"
Исследование в математике и математика в исследовании
Array ( [YEAR] => Array ( [ID] => 43 [IBLOCK_ID] => 10 [NAME] => Год выпуска [ACTIVE] => Y [SORT] => 500 [CODE] => YEAR [DEFAULT_VALUE] => [PROPERTY_TYPE] => N [ROW_COUNT] => 1 [COL_COUNT] => 30 [LIST_TYPE] => L [MULTIPLE] => N [XML_ID] => [FILE_TYPE] => [MULTIPLE_CNT] => 5 [LINK_IBLOCK_ID] => 0 [WITH_DESCRIPTION] => N [SEARCHABLE] => N [FILTRABLE] => N [IS_REQUIRED] => Y [VERSION] => 1 [USER_TYPE] => [USER_TYPE_SETTINGS] => [HINT] => [~NAME] => Год выпуска [~DEFAULT_VALUE] => [VALUE_ENUM] => [VALUE_XML_ID] => [VALUE_SORT] => [VALUE] => 2017 [PROPERTY_VALUE_ID] => 13930 [DESCRIPTION] => [~VALUE] => 2017 [~DESCRIPTION] => [DISPLAY_VALUE] => 2017 ) [PAGES] => Array ( [ID] => 44 [IBLOCK_ID] => 10 [NAME] => Страниц [ACTIVE] => Y [SORT] => 500 [CODE] => PAGES [DEFAULT_VALUE] => [PROPERTY_TYPE] => N [ROW_COUNT] => 1 [COL_COUNT] => 30 [LIST_TYPE] => L [MULTIPLE] => N [XML_ID] => [FILE_TYPE] => [MULTIPLE_CNT] => 5 [LINK_IBLOCK_ID] => 0 [WITH_DESCRIPTION] => N [SEARCHABLE] => N [FILTRABLE] => N [IS_REQUIRED] => N [VERSION] => 1 [USER_TYPE] => [USER_TYPE_SETTINGS] => [HINT] => [~NAME] => Страниц [~DEFAULT_VALUE] => [VALUE_ENUM] => [VALUE_XML_ID] => [VALUE_SORT] => [VALUE] => 160 [PROPERTY_VALUE_ID] => 13931 [DESCRIPTION] => [~VALUE] => 160 [~DESCRIPTION] => [DISPLAY_VALUE] => 160 ) [WEIGHT] => Array ( [ID] => 45 [IBLOCK_ID] => 10 [NAME] => Вес [ACTIVE] => Y [SORT] => 500 [CODE] => WEIGHT [DEFAULT_VALUE] => [PROPERTY_TYPE] => N [ROW_COUNT] => 1 [COL_COUNT] => 30 [LIST_TYPE] => L [MULTIPLE] => N [XML_ID] => [FILE_TYPE] => [MULTIPLE_CNT] => 5 [LINK_IBLOCK_ID] => 0 [WITH_DESCRIPTION] => N [SEARCHABLE] => N [FILTRABLE] => N [IS_REQUIRED] => N [VERSION] => 1 [USER_TYPE] => [USER_TYPE_SETTINGS] => [HINT] => [~NAME] => Вес [~DEFAULT_VALUE] => [VALUE_ENUM] => [VALUE_XML_ID] => [VALUE_SORT] => [VALUE] => 190 [PROPERTY_VALUE_ID] => 13932 [DESCRIPTION] => [~VALUE] => 190 [~DESCRIPTION] => [DISPLAY_VALUE] => 190 ) [PDF] => Array ( [ID] => 46 [IBLOCK_ID] => 10 [NAME] => Фрагмент в PDF [ACTIVE] => Y [SORT] => 500 [CODE] => PDF [DEFAULT_VALUE] => [PROPERTY_TYPE] => F [ROW_COUNT] => 1 [COL_COUNT] => 30 [LIST_TYPE] => L [MULTIPLE] => N [XML_ID] => [FILE_TYPE] => [MULTIPLE_CNT] => 5 [LINK_IBLOCK_ID] => 0 [WITH_DESCRIPTION] => N [SEARCHABLE] => N [FILTRABLE] => N [IS_REQUIRED] => N [VERSION] => 1 [USER_TYPE] => [USER_TYPE_SETTINGS] => [HINT] => [~NAME] => Фрагмент в PDF [~DEFAULT_VALUE] => [VALUE_ENUM] => [VALUE_XML_ID] => [VALUE_SORT] => [VALUE] => 2540 [PROPERTY_VALUE_ID] => 66538 [DESCRIPTION] => [~VALUE] => 2540 [~DESCRIPTION] => [DISPLAY_VALUE] => Загрузить [FILE_VALUE] => Array ( [ID] => 2540 [TIMESTAMP_X] => Bitrix\Main\Type\DateTime Object ( [value:protected] => DateTime Object ( [date] => 2016-11-03 16:21:22.000000 [timezone_type] => 3 [timezone] => Europe/Moscow ) ) [MODULE_ID] => iblock [HEIGHT] => 0 [WIDTH] => 0 [FILE_SIZE] => 257714 [CONTENT_TYPE] => application/pdf [SUBDIR] => iblock/a0b [FILE_NAME] => borzenko_verstka_to_print.pdf [ORIGINAL_NAME] => Borzenko_verstka_to_print.pdf [DESCRIPTION] => [HANDLER_ID] => [EXTERNAL_ID] => b296a34b51ecc211aaec57586eaf9246 [~src] => [SRC] => /upload/iblock/a0b/borzenko_verstka_to_print.pdf ) ) [AUTHOR] => Array ( [ID] => 51 [IBLOCK_ID] => 10 [NAME] => Автор [ACTIVE] => Y [SORT] => 500 [CODE] => AUTHOR [DEFAULT_VALUE] => [PROPERTY_TYPE] => E [ROW_COUNT] => 1 [COL_COUNT] => 30 [LIST_TYPE] => L [MULTIPLE] => Y [XML_ID] => [FILE_TYPE] => [MULTIPLE_CNT] => 5 [LINK_IBLOCK_ID] => 8 [WITH_DESCRIPTION] => N [SEARCHABLE] => N [FILTRABLE] => N [IS_REQUIRED] => Y [VERSION] => 1 [USER_TYPE] => [USER_TYPE_SETTINGS] => [HINT] => [~NAME] => Автор [~DEFAULT_VALUE] => [VALUE_ENUM] => [VALUE_XML_ID] => [VALUE_SORT] => [VALUE] => Array ( [0] => 1641 [1] => 1642 [2] => 1643 [3] => 1644 ) [PROPERTY_VALUE_ID] => Array ( [0] => 13933 [1] => 13934 [2] => 13935 [3] => 13936 ) [DESCRIPTION] => Array ( [0] => [1] => [2] => [3] => ) [~VALUE] => Array ( [0] => 1641 [1] => 1642 [2] => 1643 [3] => 1644 ) [~DESCRIPTION] => Array ( [0] => [1] => [2] => [3] => ) [DISPLAY_VALUE] => Array ( [0] => Борзенко В.И. [1] => Музланов Ю.А. [2] => Лобов И.В. [3] => Хайтов В.М. ) [LINK_ELEMENT_VALUE] => Array ( [1641] => Array ( [ID] => 1641 [~ID] => 1641 [IBLOCK_ID] => 8 [~IBLOCK_ID] => 8 [NAME] => Борзенко В.И. [~NAME] => Борзенко В.И. [DETAIL_PAGE_URL] => /author/borzenko-v-i/ [~DETAIL_PAGE_URL] => /author/borzenko-v-i/ [PREVIEW_PICTURE] => 1305 [~PREVIEW_PICTURE] => 1305 [DETAIL_PICTURE] => 1306 [~DETAIL_PICTURE] => 1306 [SORT] => 500 [~SORT] => 500 [LANG_DIR] => / [~LANG_DIR] => / [CODE] => borzenko-v-i [~CODE] => borzenko-v-i [EXTERNAL_ID] => 1641 [~EXTERNAL_ID] => 1641 [IBLOCK_SECTION_ID] => [~IBLOCK_SECTION_ID] => [IBLOCK_TYPE_ID] => catalog [~IBLOCK_TYPE_ID] => catalog [IBLOCK_CODE] => author [~IBLOCK_CODE] => author [IBLOCK_EXTERNAL_ID] => [~IBLOCK_EXTERNAL_ID] => [LID] => s1 [~LID] => s1 ) [1642] => Array ( [ID] => 1642 [~ID] => 1642 [IBLOCK_ID] => 8 [~IBLOCK_ID] => 8 [NAME] => Музланов Ю.А. [~NAME] => Музланов Ю.А. 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[DETAIL_PAGE_URL] => /author/lobov-i-v/ [~DETAIL_PAGE_URL] => /author/lobov-i-v/ [PREVIEW_PICTURE] => 2147 [~PREVIEW_PICTURE] => 2147 [DETAIL_PICTURE] => 2146 [~DETAIL_PICTURE] => 2146 [SORT] => 500 [~SORT] => 500 [LANG_DIR] => / [~LANG_DIR] => / [CODE] => lobov-i-v [~CODE] => lobov-i-v [EXTERNAL_ID] => 1643 [~EXTERNAL_ID] => 1643 [IBLOCK_SECTION_ID] => [~IBLOCK_SECTION_ID] => [IBLOCK_TYPE_ID] => catalog [~IBLOCK_TYPE_ID] => catalog [IBLOCK_CODE] => author [~IBLOCK_CODE] => author [IBLOCK_EXTERNAL_ID] => [~IBLOCK_EXTERNAL_ID] => [LID] => s1 [~LID] => s1 ) [1644] => Array ( [ID] => 1644 [~ID] => 1644 [IBLOCK_ID] => 8 [~IBLOCK_ID] => 8 [NAME] => Хайтов В.М. [~NAME] => Хайтов В.М. 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Электронное издание
210 руб
Автор: Борзенко В.И., Музланов Ю.А., Лобов И.В., Хайтов В.М.
Ступень образования:
Основное общее образование
ISBN: 978-5-4441-0179-7
Год выпуска: 2017
Год первого выпуска: 2017
Количество страниц: 160
Вес: 190 грамм
В сборнике представлены методические разработки, применимые в организации исследовательской деятельности учащихся. Первая часть сборника посвящена применению исследовательского подхода в обучении математике. Каждая нестандартная математическая задача – это, безусловно, задача творческая и исследовательская. Более того, математические задачи служат, в определенном смысле, эталоном для исследовательских задач, возникающих в самых разнообразных областях науки и жизни, поэтому советы педагогу, выступающему в роли руководителя и помощника при решении школьниками математических задач, имеют достаточно универсальное значение. Представленный материал базируется на разработках выдающегося педагога и математика Д. Пойа.
Вторая часть сборника посвящена применению математических методов в исследованиях учащихся в области экологии и биологии. Обсуждается, как математика может применяться в биологии; какие типы численных данных могут быть в биологии, какие типы математических задач существуют в биологических исследованиях школьников, каковы принципы сбора материала. Даны некоторые правила чтения математических формул. Обсуждаются вопросы: что такое варьирование биологических признаков, что такое вероятность, каковы принципы обработки выборок, что такое статистическая достоверность. Описываются методы сравнения двух величин, методы анализа структуры популяции, методы описания взаимосвязи величин и методы многомерного анализа. Представлены статистические таблицы и аннотация дополнительной литературы.
Книга адресована заместителям директоров школ по научно-исследовательской деятельности, методистам, учителям математики, биологии, экологии, педагогам дополнительного образования детей.
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