Библиотека журнала "Исследователь / Researcher"
Исследование в математике и математика в исследовании
Фрагмент книги
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] =>
[FILE_VALUE] => Array
(
[ID] => 2540
[TIMESTAMP_X] => 03.11.2016 16:21:22
[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
[VERSION_ORIGINAL_ID] =>
[META] =>
[SRC] => /upload/iblock/a0b/borzenko_verstka_to_print.pdf
)
[DISPLAY_VALUE] => Загрузить
)
[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] =>
)
[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.
[DETAIL_PAGE_URL] => /author/muzlanov-yu-a/
[~DETAIL_PAGE_URL] => /author/muzlanov-yu-a/
[PREVIEW_PICTURE] => 2025
[~PREVIEW_PICTURE] => 2025
[DETAIL_PICTURE] => 2026
[~DETAIL_PICTURE] => 2026
[SORT] => 500
[~SORT] => 500
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] => muzlanov-yu-a
[~CODE] => muzlanov-yu-a
[EXTERNAL_ID] => 1642
[~EXTERNAL_ID] => 1642
[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
)
[1643] => Array
(
[ID] => 1643
[~ID] => 1643
[IBLOCK_ID] => 8
[~IBLOCK_ID] => 8
[NAME] => Лобов И.В.
[~NAME] => Лобов И.В.
[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.
[DETAIL_PAGE_URL] => /author/khaytov-v-m/
[~DETAIL_PAGE_URL] => /author/khaytov-v-m/
[PREVIEW_PICTURE] => 1312
[~PREVIEW_PICTURE] => 1312
[DETAIL_PICTURE] => 1313
[~DETAIL_PICTURE] => 1313
[SORT] => 500
[~SORT] => 500
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] => khaytov-v-m
[~CODE] => khaytov-v-m
[EXTERNAL_ID] => 1644
[~EXTERNAL_ID] => 1644
[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
)
)
[DISPLAY_VALUE] => Array
(
[0] => Борзенко В.И.
[1] => Музланов Ю.А.
[2] => Лобов И.В.
[3] => Хайтов В.М.
)
)
[YEAR_FIRST] => Array
(
[ID] => 52
[IBLOCK_ID] => 10
[NAME] => Год первого выпуска
[ACTIVE] => Y
[SORT] => 500
[CODE] => YEAR_FIRST
[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] => Год первого выпуска
[~DEFAULT_VALUE] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE] => 2017
[PROPERTY_VALUE_ID] => 13937
[DESCRIPTION] =>
[~VALUE] => 2017
[~DESCRIPTION] =>
[DISPLAY_VALUE] => 2017
)
[NAME_SHORT] => Array
(
[ID] => 54
[IBLOCK_ID] => 10
[NAME] => Название сокращённое
[ACTIVE] => Y
[SORT] => 500
[CODE] => NAME_SHORT
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[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] => Название сокращённое
[~DEFAULT_VALUE] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE] => Исследование в математике и математика в исследовании
[PROPERTY_VALUE_ID] => 13939
[DESCRIPTION] =>
[~VALUE] => Исследование в математике и математика в исследовании
[~DESCRIPTION] =>
[DISPLAY_VALUE] => Исследование в математике и математика в исследовании
)
[TYPE_OF_EDUCATION] => Array
(
[ID] => 55
[IBLOCK_ID] => 10
[NAME] => Уровень образования
[ACTIVE] => Y
[SORT] => 500
[CODE] => TYPE_OF_EDUCATION
[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] => 6
[WITH_DESCRIPTION] => N
[SEARCHABLE] => N
[FILTRABLE] => N
[IS_REQUIRED] => Y
[VERSION] => 1
[USER_TYPE] =>
[USER_TYPE_SETTINGS] =>
[HINT] =>
[~NAME] => Уровень образования
[~DEFAULT_VALUE] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE] => Array
(
[0] => 80
)
[PROPERTY_VALUE_ID] => Array
(
[0] => 13940
)
[DESCRIPTION] => Array
(
[0] =>
)
[~VALUE] => Array
(
[0] => 80
)
[~DESCRIPTION] => Array
(
[0] =>
)
[LINK_ELEMENT_VALUE] => Array
(
[80] => Array
(
[ID] => 80
[~ID] => 80
[IBLOCK_ID] => 6
[~IBLOCK_ID] => 6
[NAME] => Основное общее образование
[~NAME] => Основное общее образование
[DETAIL_PAGE_URL] => /books/
[~DETAIL_PAGE_URL] => /books/
[PREVIEW_PICTURE] =>
[~PREVIEW_PICTURE] =>
[DETAIL_PICTURE] =>
[~DETAIL_PICTURE] =>
[SORT] => 500
[~SORT] => 500
[LANG_DIR] => /
[~LANG_DIR] => /
[CODE] =>
[~CODE] =>
[EXTERNAL_ID] => 80
[~EXTERNAL_ID] => 80
[IBLOCK_SECTION_ID] =>
[~IBLOCK_SECTION_ID] =>
[IBLOCK_TYPE_ID] => catalog
[~IBLOCK_TYPE_ID] => catalog
[IBLOCK_CODE] => type_of_education
[~IBLOCK_CODE] => type_of_education
[IBLOCK_EXTERNAL_ID] =>
[~IBLOCK_EXTERNAL_ID] =>
[LID] => s1
[~LID] => s1
)
)
[DISPLAY_VALUE] => Основное общее образование
)
[ISBN] => Array
(
[ID] => 68
[IBLOCK_ID] => 10
[NAME] => ISBN
[ACTIVE] => Y
[SORT] => 500
[CODE] => ISBN
[DEFAULT_VALUE] =>
[PROPERTY_TYPE] => S
[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] => ISBN
[~DEFAULT_VALUE] =>
[VALUE_ENUM] =>
[VALUE_XML_ID] =>
[VALUE_SORT] =>
[VALUE] => 978-5-4441-0179-7
[PROPERTY_VALUE_ID] => 13941
[DESCRIPTION] =>
[~VALUE] => 978-5-4441-0179-7
[~DESCRIPTION] =>
[DISPLAY_VALUE] => 978-5-4441-0179-7
)
)
Все книги серии
Электронное издание
340 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
Аннотация:
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.
Мнения
/books/item/1645/?action=ADD2BASKET&id=1645
Предварительный заказ
Оставьте, пожалуйста, свои контактные данные и мы сможем проинформировать вас о поступлении издания в продажу
