胚騰推理與數學學習態度對國中 基測數學成績之相關性研究

A Study of the Relationship between Pattern Reasoning, Attitude of Mathematics and Mathematics Performance on High School Entrance Examation

張純芳(Chun-Fang Chang)

指導教授 ： 袁媛

中原大學/人文與教育學院/教育研究所/碩士(2010年)

https://doi.org/10.6840/cycu201000212

摘要

摘 要
本研究擬探討較不受後天影響的胚騰推理能力與國中基本學力測驗數學成績之相關性；並分析學生數學學習態度與胚騰推理能力二者是否存在關聯？探討胚騰推理能力與數學學習態度二者將對國中基測數學成績產生何種影響力？本研究採相關研究法，以研究者任教之學校，全九年級八個班，有效樣本共268位學生為研究對象，利用SPSS統計軟體對收集的有效資料做統計量的分析且加以檢定考驗。
本研究的主要結論有下列幾點：
一、經皮爾森積差相關考驗得到印証：學生的胚騰推理能力和數學學習態度與國中基測數學成績之間存在顯著相關性。本研究所探討的三個變項，兩兩間的相關性皆達顯著水準，即使排除第三個變項影響後之兩變項的淨相關與部份相關，其皮爾森積差相關值仍達顯著水準。此結果顯示學生在胚騰推理能力測驗的得分愈高，其數學學習態度愈正向，反之亦然；學生在胚騰推理能力測驗的得分愈高，其國中基測數學成績愈高，反之亦然；學生的數學學習態度得分愈高，其國中基測數學成績愈高，反之亦然。
二、本研究以胚騰推理能力、數學學習態度二個自變項投入多元逐步迴歸模式進行分析後，得到多元相關係數為.726，聯合解釋變異量為.527，亦即胚騰推理能力及數學學習態度二自變項對於數學基測成績具有52.7% 的解釋變異量。對預測國中基測數學成績所建立的標準化迴歸方程式為：
國中基測數學成績＝.460×胚騰推理能力測驗得分＋.413×數學學習態度總分

此研究結果呈現的意義為，胚騰推理能力與數學學習態度能有效的預測及解釋學生在國中基測數學的表現，但除胚騰推理能力與數學學習態度之外，47.3%的變異量仍需由其它的因素加以解釋。

關鍵字：胚騰推理能力、數學學習態度、國中基本學力測驗

關鍵字

國中基本學力測驗 ； 數學學習態度 ； 胚騰推理能力

並列摘要

Abstract
This study was intended to discuss the relationship between basic competence test for junior high school students and pattern reasoning ability that is less affected by the impact of learning , and analyzed how much is the correlation between basic competence test for junior high school students and pattern reasoning ability？This study also discussed how is the impact of pattern reasoning ability and math learning attitude on basic competence test for junior high school students. The study uses correlation methodology. The total valid sample includes 268 Ninth grade students of eight classes in researcher’s teaching school. SPSS software was used on collected valid data for statistical analysis and examinational analysis. The major conclusions of this study as following：
1. The hypothesis was verified by Pearson product-moment correlation test: There is a significant relation among pattern reasoning ability scores，math learning attitude scores and basic competence test scores. The correlation was significant of any two of the three variables in this study. Even if we removed the third variable, Pearson correlation coefficients were still significant by using partial correlation analysis and semi-partial correlation analysis. This result shows that the higher score a student get in pattern reasoning ability test , the more positive his math learning attitude was, and vice versa; The higher score a student get in math learning attitude scales, the higher score he get in basic competence test for junior high school students, and vice versa.
2. This research cast the two variables, pattern reasoning ability, math learning attitude, in multiple regression analysis and got the multiple correlation coefficient was .726, the total explained variance was .527, that means explaining 52.7% of the variance amount of pattern reasoning ability and math learning attitude for the score of math basic competence test. The standardized regression function for scores predicting of math basic competence test for junior high school student was:
Score of math basic competence test for junior high school student =.460 × score of pattern reasoning ability test + .413 × total score of math learning attitude scale
The study results presented with the following meanings, pattern reasoning ability and math learning attitude can effectively predict and explain the performance of math basic competence test for junior high school student. Except pattern reasoning ability and math learning attitude, it still required other factors to explain the other 47.3% variance amount. This result supported that inductive reasoning ability about quantitative relation rule in math learning process is important, and also revealed that math learning attitude is an effective index for forecasting mathematical achievments.
Keywords : Pattern Reasoning, attitude of mathematics, high school entrance examation , Basic competence test for junior high school students.

並列關鍵字

Basic competence test for junior high school students. ； attitude of mathematics ； Pattern Reasoning ； high school entrance examation

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