中學生機率另有概念雙層式診斷試題之研發與相關研究

Abstract

本研究主要的目的是編製一份良好的中學生機率另有概念雙層式診斷工具，以瞭解學生在各類型的機率另有概念的認知情況。同時針對學生答題結果深入探討各類型另有概念之間的相關特性。期望能提出具體的結論與建議，以提供給老師與學生，作為學習上的助益與參考依據。 為達成上列的目的，本項研究以研究者所任教的北縣某完全中學學生為研究對象，進行階層隨機抽樣，總樣本數為1043位。本研究所使用的研究工具為「機率另有概念診斷工具」。所得的資料以t檢定、單因子變異數分析、Pearson積差相關係數等方法進行統計分析，由分析結果得知所研發的另有概念診斷工具符合一份良好測驗所需具備的特質。

The major aim of the research is to making a good two-tired diagnostic test of the misconceptions in probabilities for middle-school students. Therefore we can understand the situation how students’ thinking about probability and what kind of misconceptions do they own. The other aim is to discuss the correlations of different kind misconceptions of probabilities. This article is expected to offer concrete conclusions and suggestions as important reference for teachers and students. To achieve the goals above, the middle-school students studying in the same school with researcher are selected by means of the stratified random sampling, and the sample size of students tested is 1043 in total. The instrument used in this research is “ Two-tired diagnostic test of the misconceptions in probabilities”. The information is gained through the one way analysis of variance, the Pearson correlation coefficient, and other methods. Results indicate that the difficulty of this instrument is appropriate, the discrimination, reliability and validity are proved to be good. Thus, our test problems include the characteristics of being a good diagnostic testing instrument.