摘要
运用路径分析方法探析高中学生数学建模学业成就的影响因素,得到:(1)数学建模自我监控水平、创造力水平、数理认知结构、数学建模情感、创造性倾向、认知方式及数学建模信念均与数学建模学业成就存在显著相关;(2)数学建模自我监控水平、创造力水平、数理认知结构及数学建模情感对数学建模学业成就有较好的预测性,4因素可以解释数学建模学业成就77.9%的变异;(3)创造性倾向、认知方式及数学建模信念对数学建模自我监控水平有较好的预测性,3因素可以解释数学建模自我监控水平55.1%的变异;(4)创造性倾向和认知方式对创造力水平有较好的预测性,两因素可以解释创造力水平46.0%的变异;(5)认知方式和创造性倾向对数理认知结构有较好的预测性,两因素可以解释数理认知结构38.4%的变异;(6)数学建模信念和认知方式对数学建模情感有较好的预测性,两因素可以解释数学建模情感42.5%的变异.
Utilizing the path analysis method,the study explores the relationships among the influential factors in mathematics modeling academic achievement of 208 higher students. The following conclusions are drawn:(1) Mathematics modeling self-monitoring level,creativity level,the mathematical cognitive structure,emotion in mathematics modeling,creative inclination,cognitive style and belief in mathematics modeling have significant correlation with mathematics modeling academic achievement; (2) Mathematics modeling self-monitoring level,creativity level,mathematical cognitive structure and emotion in mathematics modeling have significant regression effect on mathematics modeling academic achievement,and four factors can explain 77.9% variations of mathematics modeling academic achievement; (3) Creative inclination,cognitive style and belief in mathematics modeling have significant regression effect on mathematics modeling self-monitoring level,and three factors can explain 55.1% variations of mathematics modeling self-monitoring level; (4) Creative inclination and cognitive style have significant regression effect on creativity level,and two factors can explain 46.0% variations of creativity level; (5) Cognitive style and creative inclination have significant regression effect on the mathematical cognitive structure,and two factors can explain 38.4% variations of the mathematical cognitive structure; (6) Belief in mathematics modeling and cognitive style have significant regression effect on emotion in mathematics modeling ,and two factors can explain 42.5% variations of emotion in mathematics modeling.
出处
《数学教育学报》
北大核心
2010年第6期37-41,共5页
Journal of Mathematics Education
基金
江苏省博士后科研资助计划项目——数学建模的方法论研究(0902076C)
关键词
数学建模学业成就
影响因素
路径分析方法
mathematics modeling academic achievement
influential factor
path analysis method