以知識結構為主的線上診斷測驗系統之研究－以國民中數學領域之『整數的四則運算』為例

A Study of Knowledge-based online diagnostic math test —Use of the “4 Basic Arithmatic Operations” in the current 2nd year math curriculum in junior high school as an example

陳菀菁(Wan-Chimg Chen)

指導教授 ： 劉湘川

亞洲大學/資訊學院/資訊科學與應用學系碩士班/碩士(2004年)

摘要

數學是知識的學習，是在反省、解題及討論的修正過程中逐漸形成，更讓學生養成勇於嘗試的態度，並靈活運用習得的數學知識，來解決問題，並說明解題過程，在反省與討論中，逐步調整與發展概念，建立學數學的信心。
由於數學具備結構性及階層性架構，學生進行線上診斷測驗所需作答的試題遠較一般紙筆診斷測驗少，有鑑於此，本研究試圖發展以知識結構為主來編製國中數學領域診斷測驗，並探討如何根據個別學生測驗作答組型將學生進行補救教學分組。
而近年來在國中線上數學診斷測驗研究，相當的少，問題在於國中階段的數學的學習呈邏輯性及螺旋狀的排列，再加上這幾年教育快速改革，難以界定一定的範圍來編製評量測驗，因此，為配合政府提倡九年一貫課程，來發展一份適用於國中數學科領域的線上診斷測驗系統。
本研究以現行(九十二學年度)國中二年級課程“整數的四則運算“單元為例，發展教材內容知識結構分析，編製診斷評量試題；當國中教師進行“整數的四則運算“單元教學時，可讓教師明顯的看出教材的內容結構；而在教學進行時，透過本研究分析的結果，亦可讓老師知道哪一個概念，學生產生學生障礙及困難，以進行分組補救教學。

關鍵字

線上診斷系統 ； ； ； 知識結構 ； 補救教學 ； 整數的四則運算

並列摘要

The study of math is a process of continuous review, problem-solving, and discussion. It is important for students to learn through trial and error, to solve problems with the knowledge they have learned, and to explain the reasoning of the solutions. In this process of discussion and review, students can internalize the fundamental math concepts and also build confidence in learning math.
Since math education is structured and hierarchical. The questions found in online diagnostic math tests are far fewer than those in paper tests. This study intends to develop a knowledge-based online diagnostic math tests for junior high school students, and discusses how to group students according to the test result so as to carry out remedial education.
This study uses as an example the “4 Basic Arithmatic Operations” in the current 2nd year curriculum of junior high school (School-Year of 2003). We analyze the knowledge structure of the curriculum and develop diagnostic test problems. When junior high school teachers teach the 4 basic arithmatic operations, they would grasp the structure of the curriculum more easily through the analysis carried our in our example, and also better understand which concepts cause students trouble in learning, in order to group the students for remedial teaching.

並列關鍵字

nline diagnostic math tests ； knowledge structure ； 4 Basic Arithmatic Operations

參考文獻

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