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

• Main Authors: Chun-Fang Chang, 張純芳
• Other Authors: Yuan Yuan
• Format: Others
• Language: zh-TW
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/58152863044926946560

碩士 === 中原大學 === 教育研究所 === 98 === 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.