大一學生微積分學習策略與微積分學習成效之研究

Abstract

本研究旨在了解國立交通大學的大一學生之微積分學習策略運用情形，及其在個人背景變項上的差異情形，並針對微積分學習策略與微積分學習成效的相關狀況進行分析。

本研究採用問卷調查法，以「微積分學習策略量表」為研究工具，以國立交通大學大一微積分學生為研究對象，共發出952 份問卷，經剔除無效問卷後，得有效問卷626份，可用率達74.5%；在微積分學習成效的部分，則以其100學年度第一學期之期末會考成績為計算依據。本研究採描述性統計、t檢定、單因子變異數分析、二因子變異數分析、相關性檢定進行統計分析。

本研究之主要發現如下： 一、大一學生的微積分學習策略以「學科價值」、「尋求幫助」、「先備知識」表現最佳； 以「焦慮」、「自我管理」、「了解題意」表現最差。 二、個人背景變項在微積分學習策略上有顯著差異。 三、個人背景變項在微積分學習成效上有顯著差異。 四、個人背景變項與微積分學習成效在微積分學習策略上有交互作用。 五、微積分學習策略與微積分學習成效有顯著正相關。 六、大學入學考試數學分數與微積分學習成效有顯著正相關。

本研究最後根據研究結果，提出各項建議，供學生、教學者及未來研究之參考。

The purpose of this study was to explore the calculus learning strategies of freshmen at university, the diversity of background variables, and the relation between calculus learning strategies and calculus achievement.

The implement of calculus learning strategies was the questionnaire edited by myself. The sample was 952, eliminated the invalidation, the validation was 626, so the available sample was 74.5%. The calculus achievement was the final examination of the 1st semester of the academic year 2011. The statistical methods used to analyze the data were Descriptive Statistics, t-test, One-way ANOVA, Two-way ANOVA, Correlation.

The major findings are followings: (1) The best calculus learning strategies were “worth of subject”, “finding help”, and “prior knowledge”. The worst calculus learning strategies were “anxiety” , “self-superintendence”, and “problem understanding”. (2) The background variables had a significant impact on calculus learning strategies. (3) The background variables had a significant impact on calculus achievement. (4) There were interaction effects between the background variables and calculus achievement concerning calculus learning strategies. (5) There were positively connected between calculus learning strategies and calculus achievement. (6) There were positively connected between the mathematics achievement of entrance examination of university and calculus achievement.

Finally, some suggestions for students , educators, and future research were proposed according to the results.