迷思概念線上診斷評量系統(八年級數學領域二元一次聯立方程式)

The system of online diagnostic test on math misconception “Two-dimensional linear systems of equations “ in Mathematics for Grade 8

林玉紋(Lin Yuwen)

指導教授 ： 劉湘川

亞洲大學/資訊學院/資訊工程學系碩士班/碩士(2005年)

摘要

數學的學習著重於整體數學概念的理解與交叉應用，在數學的教學過程中，教師也深切體認到數學概念知識的網狀結構性極強，若學生在此結構中存有任何迷思概念，將影響往後的數學學習，當迷思概念較多時，即無法診斷問題所在，造成嚴重的學習障礙。
本研究以國中數學課程為主題(『二元一次聯立方程式』為例)，發展出一套以學生知識結構為題庫基礎的電腦適性診斷測驗系統，以較傳統測驗更少的時間，幫助學生發現數學學習的困難，找出迷思概念，先予以釐清，以免影響後續課程的學習，造成學生的挫折感，也直接影響教師的教學成效。
資訊科技的普及，使得資訊融入教學也成為教育的重要課題，利用本研究的迷思概念線上診斷系統，讓學生可以隨時施測，學生來說，即時的測驗結果可以立刻知道自己的學習狀況；對教師而言，測驗結果可以立即回饋給教師，讓教師更容易掌握學生的學習狀況，便於進行補救教學，進而修正或調整教學進度及教學型態，作為改進教學自我成長的參考依據。

關鍵字

電腦適性診斷測驗 ； 迷思概念 ； 學生知識結構 ； 二元一次聯立方程式

並列摘要

The study of math emphasizes the understanding of all the concepts in their entirety and their cross-application. In teaching math, it’s also perceived that math concepts are strongly connected: if a student has any misconception regarding any of the concepts, it will affect his math learning in the future; when lots of misconceptions are formed, it would be difficult to identify his learning problems, which may result in severe learning barriers.
This study focuses on the curriculum taught in a middle school, using the solution to a system of linear equations as an example. It develops a computerized adaptive test based on students’ knowledge structure, which takes less time than the traditional ones in helping a student discover his weakness in math learning by identifying the concepts that he is confused with.
With the prevalence of computers, integrating computers into classroom teaching becomes an important topic in education. With the online-diagnosing system, students can take the test whenever they like. The real-time result allows the student to immediately grasp his own learning situation, and the instant feedback allows the teacher to understand the student’s situation more easily too. This can be taken as a reference to improve a teacher’s teaching skills by the adjustment of his teaching pace and style in order to provide the remedial education.

並列關鍵字

students’ knowledge structure ； misconception ； Computerized Adaptive Testing

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