WEKO3
アイテム
{"_buckets": {"deposit": "9c0aa1e4-a55c-447f-a1c4-866220d4270c"}, "_deposit": {"created_by": 3, "id": "18939", "owners": [3], "pid": {"revision_id": 0, "type": "depid", "value": "18939"}, "status": "published"}, "_oai": {"id": "oai:sucra.repo.nii.ac.jp:00018939", "sets": ["956"]}, "author_link": ["29901", "18100", "29899", "29897", "29898", "29900", "29896"], "item_120_alternative_title_1": {"attribute_name": "タイトル(別言語)", "attribute_value_mlt": [{"subitem_alternative_title": "Generalization of “Division of Fractions with Pentagonal Cycle” Problem for Developing Teaching Materials : Proposals for Elementary, Jr. High, and High School Mathematics"}]}, "item_120_biblio_info_8": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2020", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "97", "bibliographicPageStart": "87", "bibliographicVolumeNumber": "69", "bibliographic_titles": [{"bibliographic_title": "埼玉大学紀要. 教育学部"}, {"bibliographic_title": "Journal of Saitama University. Faculty of Education", "bibliographic_titleLang": "en"}]}]}, "item_120_date_31": {"attribute_name": "作成日", "attribute_value_mlt": [{"subitem_date_issued_datetime": "2020-03-24", "subitem_date_issued_type": "Created"}]}, "item_120_description_19": {"attribute_name": "概要", "attribute_value_mlt": [{"subitem_description": "The aims of this paper are generalizing the “Division of fractions with pentagonal cycle” problem and proposing this problem as a teaching material for school mathematics. “Division of fractions with pentagonal cycle” problem is a problem for students to find regularity of a sequence that can be expressed by a recursion formula of an+2 = (an+1 + 1) / an. Moreover, this number sequence is a circulating number sequence and has an interesting property of an+5 = an.\nFirst, we explored this problem mathematically, and found that mathematical value of this problem is “circulation of the sequence derived from the original title” and “it can generalize these sequences”. We also clarified that pedagogical value of this problem is “the debate derives from various recurrence formulas and questions”. Based on the above, we proposed the “Division of fractions with pentagonal cycle” as teaching materials in elementary, junior high, and high school mathematics by using the format of teaching units (TU) or Substantial Learning Environments (SLEs) by Wittmann (1984, 2001).", "subitem_description_type": "Other"}]}, "item_120_description_29": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_description": "text", "subitem_description_type": "Other"}]}, "item_120_description_30": {"attribute_name": "フォーマット", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_120_identifier_registration": {"attribute_name": "ID登録", "attribute_value_mlt": [{"subitem_identifier_reg_text": "10.24561/00018908", "subitem_identifier_reg_type": "JaLC"}]}, "item_120_publisher_11": {"attribute_name": "出版者名", "attribute_value_mlt": [{"subitem_publisher": "埼玉大学教育学部"}]}, "item_120_publisher_12": {"attribute_name": "出版者名(別言語)", "attribute_value_mlt": [{"subitem_publisher": "Faculty of Education, Saitama University"}]}, "item_120_source_id_14": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "18815146", "subitem_source_identifier_type": "ISSN"}]}, "item_120_text_27": {"attribute_name": "版", "attribute_value_mlt": [{"subitem_text_value": "[出版社版]"}]}, "item_120_text_3": {"attribute_name": "著者 ローマ字", "attribute_value_mlt": [{"subitem_text_value": "MORITA, Daisuke"}, {"subitem_text_value": "SAITO, Yu"}, {"subitem_text_value": "MIZUGUCHI, Kan"}, {"subitem_text_value": "IWASAKI, Ryoei"}, {"subitem_text_value": "UCHIDA, Koichi"}, {"subitem_text_value": "OKAMOTO, Taishi"}, {"subitem_text_value": "NINOMIYA, Hiroyuki"}]}, "item_120_text_32": {"attribute_name": "アイテムID", "attribute_value_mlt": [{"subitem_text_value": "KY-AA12318206-6901-06"}]}, "item_120_text_4": {"attribute_name": "著者 所属", "attribute_value_mlt": [{"subitem_text_value": "東京学芸大学大学院連合学校教育学研究科院生"}, {"subitem_text_value": "埼玉大学大学院教育学研究科院生"}, {"subitem_text_value": "埼玉大学大学院教育学研究科院生"}, {"subitem_text_value": "埼玉大学大学院教育学研究科院生(城北埼玉中学・高等学校)"}, {"subitem_text_value": "埼玉大学大学院教育学研究科院生"}, {"subitem_text_value": "埼玉大学大学院教育学研究科院生"}, {"subitem_text_value": "埼玉大学教育学部自然科学講座算数・数学分野"}]}, "item_120_text_5": {"attribute_name": "著者 所属(別言語)", "attribute_value_mlt": [{"subitem_text_value": "The United Graduate School of Education, Tokyo Gakugei University"}, {"subitem_text_value": "Graduate School of Education, Saitama University"}, {"subitem_text_value": "Graduate School of Education, Saitama University"}, {"subitem_text_value": "Graduate School of Education, Saitama University (Johokusaitama Junior \u0026 Senior High School)"}, {"subitem_text_value": "Graduate School of Education, Saitama University"}, {"subitem_text_value": "Graduate School of Education, Saitama University"}, {"subitem_text_value": "Faculty of Education, Saitama University"}]}, "item_120_text_9": {"attribute_name": "年月次", "attribute_value_mlt": [{"subitem_text_value": "2020"}]}, "item_120_version_type_28": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "森田, 大輔"}, {"creatorName": "モリタ, ダイスケ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "29896", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "齋藤, 雄"}, {"creatorName": "サイトウ, ユウ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "29897", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "水口, 鑑"}, {"creatorName": "ミズグチ, カン", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "29898", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "岩﨑, 亮英"}, {"creatorName": "イワサキ, リョウエイ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "29899", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "内田, 幸一"}, {"creatorName": "ウチダ, コウイチ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "29900", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "岡本, 大志"}, {"creatorName": "オカモト, タイシ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "29901", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "二宮, 裕之"}, {"creatorName": "ニノミヤ, ヒロユキ", "creatorNameLang": "ja-Kana"}], "nameIdentifiers": [{"nameIdentifier": "18100", "nameIdentifierScheme": "WEKO"}, {"nameIdentifier": "suXxsewu", "nameIdentifierScheme": "研究者総覧", "nameIdentifierURI": "http://s-read.saitama-u.ac.jp/researchers/pages/researcher/suXxsewu"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2020-04-02"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "KY-AA12318206-6901-06.pdf", "filesize": [{"value": "1.5 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 1500000.0, "url": {"label": "KY-AA12318206-6901-06.pdf", "url": "https://sucra.repo.nii.ac.jp/record/18939/files/KY-AA12318206-6901-06.pdf"}, "version_id": "1b48565d-51b5-47be-af68-8aebd7976117"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "教材研究", "subitem_subject_scheme": "Other"}, {"subitem_subject": "「五角形の分数のわり算」問題", "subitem_subject_scheme": "Other"}, {"subitem_subject": "教授単元", "subitem_subject_scheme": "Other"}, {"subitem_subject": "初等教育", "subitem_subject_scheme": "Other"}, {"subitem_subject": "中等教育", "subitem_subject_scheme": "Other"}, {"subitem_subject": "teaching materials", "subitem_subject_scheme": "Other"}, {"subitem_subject": "“Division of fractions with pentagonal cycle” problem", "subitem_subject_scheme": "Other"}, {"subitem_subject": "teaching units", "subitem_subject_scheme": "Other"}, {"subitem_subject": "primary education", "subitem_subject_scheme": "Other"}, {"subitem_subject": "secondary education", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "jpn"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "「五角形の分数のわり算」問題の一般化を通した教材研究 : 小学校・中学校・高等学校の教材としての提案\u003c教育科学\u003e", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "「五角形の分数のわり算」問題の一般化を通した教材研究 : 小学校・中学校・高等学校の教材としての提案\u003c教育科学\u003e"}, {"subitem_title": "Generalization of “Division of Fractions with Pentagonal Cycle” Problem for Developing Teaching Materials : Proposals for Elementary, Jr. High, and High School Mathematics", "subitem_title_language": "en"}]}, "item_type_id": "120", "owner": "3", "path": ["956"], "permalink_uri": "https://doi.org/10.24561/00018908", "pubdate": {"attribute_name": "公開日", "attribute_value": "2020-04-02"}, "publish_date": "2020-04-02", "publish_status": "0", "recid": "18939", "relation": {}, "relation_version_is_last": true, "title": ["「五角形の分数のわり算」問題の一般化を通した教材研究 : 小学校・中学校・高等学校の教材としての提案\u003c教育科学\u003e"], "weko_shared_id": 3}
「五角形の分数のわり算」問題の一般化を通した教材研究 : 小学校・中学校・高等学校の教材としての提案<教育科学>
https://doi.org/10.24561/00018908
https://doi.org/10.24561/000189086215abcf-ade4-4d67-85cf-23a61f68eac0
名前 / ファイル | ライセンス | アクション |
---|---|---|
KY-AA12318206-6901-06.pdf (1.5 MB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2020-04-02 | |||||
タイトル | ||||||
タイトル | 「五角形の分数のわり算」問題の一般化を通した教材研究 : 小学校・中学校・高等学校の教材としての提案<教育科学> | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Generalization of “Division of Fractions with Pentagonal Cycle” Problem for Developing Teaching Materials : Proposals for Elementary, Jr. High, and High School Mathematics | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 教材研究 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 「五角形の分数のわり算」問題 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 教授単元 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 初等教育 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 中等教育 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | teaching materials | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | “Division of fractions with pentagonal cycle” problem | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | teaching units | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | primary education | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | secondary education | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | departmental bulletin paper | |||||
ID登録 | ||||||
ID登録 | 10.24561/00018908 | |||||
ID登録タイプ | JaLC | |||||
タイトル(別言語) | ||||||
その他のタイトル | Generalization of “Division of Fractions with Pentagonal Cycle” Problem for Developing Teaching Materials : Proposals for Elementary, Jr. High, and High School Mathematics | |||||
著者 |
森田, 大輔
× 森田, 大輔× 齋藤, 雄× 水口, 鑑× 岩﨑, 亮英× 内田, 幸一× 岡本, 大志× 二宮, 裕之 |
|||||
著者 ローマ字 | ||||||
MORITA, Daisuke | ||||||
著者 ローマ字 | ||||||
SAITO, Yu | ||||||
著者 ローマ字 | ||||||
MIZUGUCHI, Kan | ||||||
著者 ローマ字 | ||||||
IWASAKI, Ryoei | ||||||
著者 ローマ字 | ||||||
UCHIDA, Koichi | ||||||
著者 ローマ字 | ||||||
OKAMOTO, Taishi | ||||||
著者 ローマ字 | ||||||
NINOMIYA, Hiroyuki | ||||||
著者 所属 | ||||||
東京学芸大学大学院連合学校教育学研究科院生 | ||||||
著者 所属 | ||||||
埼玉大学大学院教育学研究科院生 | ||||||
著者 所属 | ||||||
埼玉大学大学院教育学研究科院生 | ||||||
著者 所属 | ||||||
埼玉大学大学院教育学研究科院生(城北埼玉中学・高等学校) | ||||||
著者 所属 | ||||||
埼玉大学大学院教育学研究科院生 | ||||||
著者 所属 | ||||||
埼玉大学大学院教育学研究科院生 | ||||||
著者 所属 | ||||||
埼玉大学教育学部自然科学講座算数・数学分野 | ||||||
著者 所属(別言語) | ||||||
The United Graduate School of Education, Tokyo Gakugei University | ||||||
著者 所属(別言語) | ||||||
Graduate School of Education, Saitama University | ||||||
著者 所属(別言語) | ||||||
Graduate School of Education, Saitama University | ||||||
著者 所属(別言語) | ||||||
Graduate School of Education, Saitama University (Johokusaitama Junior & Senior High School) | ||||||
著者 所属(別言語) | ||||||
Graduate School of Education, Saitama University | ||||||
著者 所属(別言語) | ||||||
Graduate School of Education, Saitama University | ||||||
著者 所属(別言語) | ||||||
Faculty of Education, Saitama University | ||||||
書誌情報 |
埼玉大学紀要. 教育学部 en : Journal of Saitama University. Faculty of Education 巻 69, 号 1, p. 87-97, 発行日 2020 |
|||||
年月次 | ||||||
2020 | ||||||
出版者名 | ||||||
出版者 | 埼玉大学教育学部 | |||||
出版者名(別言語) | ||||||
出版者 | Faculty of Education, Saitama University | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 18815146 | |||||
概要 | ||||||
内容記述タイプ | Other | |||||
内容記述 | The aims of this paper are generalizing the “Division of fractions with pentagonal cycle” problem and proposing this problem as a teaching material for school mathematics. “Division of fractions with pentagonal cycle” problem is a problem for students to find regularity of a sequence that can be expressed by a recursion formula of an+2 = (an+1 + 1) / an. Moreover, this number sequence is a circulating number sequence and has an interesting property of an+5 = an. First, we explored this problem mathematically, and found that mathematical value of this problem is “circulation of the sequence derived from the original title” and “it can generalize these sequences”. We also clarified that pedagogical value of this problem is “the debate derives from various recurrence formulas and questions”. Based on the above, we proposed the “Division of fractions with pentagonal cycle” as teaching materials in elementary, junior high, and high school mathematics by using the format of teaching units (TU) or Substantial Learning Environments (SLEs) by Wittmann (1984, 2001). |
|||||
版 | ||||||
[出版社版] | ||||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | text | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
作成日 | ||||||
日付 | 2020-03-24 | |||||
日付タイプ | Created | |||||
アイテムID | ||||||
KY-AA12318206-6901-06 |