ログイン
言語:

WEKO3

  • トップ
  • ランキング
To
lat lon distance
To

Field does not validate



インデックスリンク

インデックスツリー

メールアドレスを入力してください。

WEKO

One fine body…

WEKO

One fine body…

アイテム

{"_buckets": {"deposit": "dd5bdfb1-cecd-4975-9d81-d47d31e956ac"}, "_deposit": {"id": "18724", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "18724"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00018724", "sets": ["151"]}, "author_link": ["103177"], "item_1628147817048": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_6_alternative_title_1": {"attribute_name": "その他(別言語等)のタイトル", "attribute_value_mlt": [{"subitem_alternative_title": "A Study on Function of \"Action Proof\" in School Mathematics : Focusing on Discovery"}]}, "item_6_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2010-03-31", "bibliographicIssueDateType": "Issued"}, "bibliographicPageEnd": "45", "bibliographicPageStart": "33", "bibliographicVolumeNumber": "92", "bibliographic_titles": [{"bibliographic_title": "日本数学教育学会誌. 数学教育学論究"}]}]}, "item_6_description_20": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "The previous studies on \"action proof\" have discussed its function in the context of verifying statements or learning formal proof. However, there are any other functions of proof in mathematics than verification: explanation, systematization, discovery and communication. The purpose of this study is, however, to clarify discovery function of action proof in school mathematics among all. The reason why this study selects its discovery function is that we could achieve many productive learning activities in even primary school mathematics. Firstly, this study reviews and summarizes the previous studies on action proof and then points out that they have not discussed discovery function of action proof. Next, this study defines the concept of action proof in terms of actions on manipulative objects, the original character of the actions and a representative special case. According to this definition and to comparison between action proof and formal proof, this study points out \"embodiment\", \"movability\" and \"genericity\" as the characteristic properties of action proof. After that, through examining discovery function of formal proof in terms of the characteristic properties of action proof, this study clarifies two kinds of discovery function of action proof, as follows. First, in order to clarify relation between the conditions of the statement and a truth of the statement, one has to grasp not only the original character of actions on manipulative objects but also the reason why the actions can be applied to all cases of the statement; after grasping the reason, one must notice and eliminate unnecessary parts for the relation or examine the process of actions on manipulative objects with consciousness of the relation; then by interpreting facts on manipulative objects which one finds out, one can produce new statements. Second, one has to view manipulative objects from new viewpoints which are not limited to the given statement and then, if necessary, organize the actions on manipulative objects; then by interpreting facts on manipulative objects which one finds out, one can produce new statements.", "subitem_description_type": "Abstract"}]}, "item_6_description_30": {"attribute_name": "資源タイプ(コンテンツの種類)", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "引用", "attribute_value_mlt": [{"subitem_description": "日本数学教育学会誌. 数学教育学論究. 92:33-45 (2010)", "subitem_description_type": "Other"}]}, "item_6_link_3": {"attribute_name": "信州大学研究者総覧へのリンク", "attribute_value_mlt": [{"subitem_link_text": "小松, 孝太郎", "subitem_link_url": "http://soar-rd.shinshu-u.ac.jp/profile/ja.jNACPhLh.html"}]}, "item_6_publisher_4": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "日本数学教育学会"}]}, "item_6_relation_49": {"attribute_name": "論文ID(NAID)", "attribute_value_mlt": [{"subitem_relation_type_id": {"subitem_relation_type_id_text": "110007580077", "subitem_relation_type_select": "NAID"}}]}, "item_6_relation_51": {"attribute_name": "異版である", "attribute_value_mlt": [{"subitem_relation_type": "isVersionOf", "subitem_relation_type_id": {"subitem_relation_type_id_text": "http://ci.nii.ac.jp/naid/110007580077", "subitem_relation_type_select": "URI"}}]}, "item_6_rights_62": {"attribute_name": "権利", "attribute_value_mlt": [{"subitem_rights": "日本数学教育学会"}]}, "item_6_select_64": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0021-471X", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0021-471X", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_40": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AN00311755", "subitem_source_identifier_type": "NCID"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "小松, 孝太郎"}], "nameIdentifiers": [{"nameIdentifier": "103177", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-03-01"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "ronkyu_92_33.pdf", "filesize": [{"value": "1.3 MB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensefree": "日本数学教育学会", "licensetype": "license_note", "mimetype": "application/pdf", "size": 1300000.0, "url": {"label": "ronkyu_92_33.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/18724/files/ronkyu_92_33.pdf"}, "version_id": "c606720e-b40c-489b-b91d-c6f4cb64da7d"}]}, "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": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "学校数学におけるaction proofの機能に関する研究:発見に焦点をあてて", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "学校数学におけるaction proofの機能に関する研究:発見に焦点をあてて", "subitem_title_language": "ja"}]}, "item_type_id": "6", "owner": "1", "path": ["151"], "permalink_uri": "http://hdl.handle.net/10091/00019486", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2017-03-01"}, "publish_date": "2017-03-01", "publish_status": "0", "recid": "18724", "relation": {}, "relation_version_is_last": true, "title": ["学校数学におけるaction proofの機能に関する研究:発見に焦点をあてて"], "weko_shared_id": -1}
  1. 020 教育学部, 大学院教育学研究科
  2. 0201 学術論文

学校数学におけるaction proofの機能に関する研究:発見に焦点をあてて

http://hdl.handle.net/10091/00019486
http://hdl.handle.net/10091/00019486
c942c517-a9c9-460f-bb9c-0c9264f49c2f
名前 / ファイル ライセンス アクション
ronkyu_92_33.pdf ronkyu_92_33.pdf (1.3 MB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2017-03-01
タイトル
言語 ja
タイトル 学校数学におけるaction proofの機能に関する研究:発見に焦点をあてて
言語
言語 jpn
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
その他(別言語等)のタイトル
その他のタイトル A Study on Function of "Action Proof" in School Mathematics : Focusing on Discovery
著者 小松, 孝太郎

× 小松, 孝太郎

WEKO 103177

小松, 孝太郎

Search repository
信州大学研究者総覧へのリンク
氏名 小松, 孝太郎
URL http://soar-rd.shinshu-u.ac.jp/profile/ja.jNACPhLh.html
出版者
出版者 日本数学教育学会
引用
内容記述タイプ Other
内容記述 日本数学教育学会誌. 数学教育学論究. 92:33-45 (2010)
書誌情報 日本数学教育学会誌. 数学教育学論究

巻 92, p. 33-45, 発行日 2010-03-31
抄録
内容記述タイプ Abstract
内容記述 The previous studies on "action proof" have discussed its function in the context of verifying statements or learning formal proof. However, there are any other functions of proof in mathematics than verification: explanation, systematization, discovery and communication. The purpose of this study is, however, to clarify discovery function of action proof in school mathematics among all. The reason why this study selects its discovery function is that we could achieve many productive learning activities in even primary school mathematics. Firstly, this study reviews and summarizes the previous studies on action proof and then points out that they have not discussed discovery function of action proof. Next, this study defines the concept of action proof in terms of actions on manipulative objects, the original character of the actions and a representative special case. According to this definition and to comparison between action proof and formal proof, this study points out "embodiment", "movability" and "genericity" as the characteristic properties of action proof. After that, through examining discovery function of formal proof in terms of the characteristic properties of action proof, this study clarifies two kinds of discovery function of action proof, as follows. First, in order to clarify relation between the conditions of the statement and a truth of the statement, one has to grasp not only the original character of actions on manipulative objects but also the reason why the actions can be applied to all cases of the statement; after grasping the reason, one must notice and eliminate unnecessary parts for the relation or examine the process of actions on manipulative objects with consciousness of the relation; then by interpreting facts on manipulative objects which one finds out, one can produce new statements. Second, one has to view manipulative objects from new viewpoints which are not limited to the given statement and then, if necessary, organize the actions on manipulative objects; then by interpreting facts on manipulative objects which one finds out, one can produce new statements.
資源タイプ(コンテンツの種類)
内容記述タイプ Other
内容記述 Article
ISSN
収録物識別子タイプ ISSN
収録物識別子 0021-471X
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AN00311755
論文ID(NAID)
識別子タイプ NAID
関連識別子 110007580077
異版である
関連タイプ isVersionOf
識別子タイプ URI
関連識別子 http://ci.nii.ac.jp/naid/110007580077
権利
権利情報 日本数学教育学会
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
戻る
0
views
See details
Views

Versions

Ver.1 2021-03-01 08:39:30.280213
Show All versions

Share

Mendeley Twitter Facebook Print Addthis

Cite as

エクスポート

OAI-PMH
  • OAI-PMH JPCOAR
  • OAI-PMH DublinCore
  • OAI-PMH DDI
Other Formats
  • JSON
  • BIBTEX

Confirm


Powered by WEKO3


Powered by WEKO3