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] => 
            [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.
                            [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
                        )

                )

        )

    [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] => 
                )

            [DISPLAY_VALUE] => Основное общее образование
            [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
                        )

                )

        )

    [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

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

Цена: 400 руб

Купить
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

* - обязательные данные