政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/99701
English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 113311/144292 (79%)
Visitors : 50929933      Online Users : 991
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
    •  Adv. Search
    Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer Goto mobile version


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/99701


    Title: 探討不同推理能力的國一個案形成與檢驗猜想的認知特徵
    Other Titles: Cognitive Characteristics of Formulating and Verifying Conjectures of 7th Grade Cases with Different Reasoning Abilities
    Authors: 吳俊德;楊凱琳
    Keywords: 推理;猜想
    conjecture;reasoning
    Date: 2009-09
    Issue Date: 2016-08-08 10:47:02 (UTC+8)
    Abstract: 本研究的目的是在探討不同區辨敘述有效性及類比推理能力的國一個案形成與檢驗猜想的認知行為與主動性有何差異，藉此提供數學臆測教學和未來研究的建議。\\r本研究採立意取樣，透過區辨敘述有效性推理問卷和類比推理問卷將學生區分成不同的推理能力，並各在其中挑選出一位幾何知識量相近的學生，總共四位國一學生為研究對象。透過晤談的方式，蒐集學生在四個幾何圖形中形成與檢驗猜想的思考過程。\\r研究結果發現，四種不同推理能力的學生都曾以視覺所觀察的圖形表徵為基礎或聯想到跟上一題圖形的類似性質而主動形成猜想。高區辨敘述有效性推理能力還能夠利用演繹推理或一般化前提的策略形成猜想，而且檢驗猜想的正確性也比較高。文中將進一步討論實例的重要性與對教學的啟示。
    This research aims to investigate cognitive characteristics of formulating and verifying conjectures of 7th grader cases with different reasoning abilities.This research selected four seven-grade-cases who have similar geometric knowledge and different reasoning ability. Through interviews， students’ formulation and verification of conjectures were collected and analyzed with modifying a code scheme of cognitive behaviors.The result shows that four cases with different reasoning ability were able to actively formulate conjectures by observing figures or connecting with similar figures. Students with high ability of distinguishing a statement and its inverse could use deductive reasoning or a strategy of generalizing the premise to formulate conjectures， and the correctness of their verifications was higher. The discussion and implication of this study would be presented in this paper.
    Relation: 教育與心理研究, 32(3),115-143
    Journal of Education & Psychology
    Data Type: article
    Appears in Collections:[Journal of Education ＆ Psychology] Journal Articles

    Files in This Item:

    File SizeFormat
    32(3)-115-143.pdf2700KbAdobe PDF2230View/Open


    All items in 政大典藏 are protected by copyright, with all rights reserved.


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback