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題 名 | 從隨機概念發展模型理論初探小六學童樣本空間直觀轉變=Applying Model of Stochastic Conceptual Development to the Transformation of one 6th-grader's Intuitions of Sample Space |
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作 者 | 陳欣民; 劉嘉茹; 柳賢; | 書刊名 | 屏東教育大學學報. 教育類 |
卷 期 | 36 2011.03[民100.03] |
頁 次 | 頁281-314 |
分類號 | 521.12、521.12 |
關鍵詞 | 樣本空間直觀; 數學文字題; 隨機概念發展模型; Intuitions of sample space; Mathematical word problems; Model of stochastic conceptual development; |
語 文 | 中文(Chinese) |
中文摘要 | 摘要 本研究旨在探討一位小六學童在數學文字題的引導下,其樣本空間直觀演變的歷程。本研究主要採用詮釋性研究法,收集的資料包括課室觀察錄影、學生學習日誌、研究者札記及與學生的深度訪談內容,並使用隨機概念發展模型(Shaughnessy, 1992)做為分析兒童樣本空間直觀的主要工具,研究發現如下:(一)蘊含樣本空間情境的數學文字題解題能引動學童直觀轉變;(二)個案學童的直觀轉變歷程具有「進階」與「再折返」的特徵;(三)個案學童的二階直觀為兩模型並存的狀態。本研究提出運用直觀來幫助學生產生有意義的學習、將「明顯排列問題情境」做為先備教材及基於生活情境、類比、遊戲以發展樣本空間教學活動等建議。 |
英文摘要 | Abstract The purpose of this study was to investigate the evolution process of probabilistic intuition of a six-grader under the guidance of word problems. The interpretive research method was adopted to collect and analyze data from classroom observations, students’ notes, and in-depth interviews. Besides, the model of stochastic conceptual development (Shaughnessy, 1992) was used as main tool to analyze probabilistic intuition. The study got major findings as follows:(1)the mathematical word problems resulted in the intuitions transformation of case student; (2) the evolution process of case student’s probabilistic intuition had the characteristics of going forward and back”; (3) case student’s secondary probabilistic intuition is the state of co-exist. The article also provides some implications about (1) using students’ intuitions is helpful for the construction of meaningful learning; (2)using conspicuous permutation problems as prior materials, and (3)developing teaching activities based on daily life, analogy and games. |
本系統中英文摘要資訊取自各篇刊載內容。