A Study On The Correlation Between Mathematical Modeling Ability And Self-monitoring Ability Of High School Students

One of the most notable changes in this course reform is the emphasis on fostering character and civic virtue and developing the core literacy of students in mathematics.Among them,mathematical modeling is the weakest link between teachers and students.So how to cultivate and develop students’ mathematical modeling abilities has become one of the important tasks of mathematical educators.The self-monitoring ability,which is the core of metacognitive theory,provides a new perspective for the cultivation of mathematical modeling ability.This research focuses on exploring the correlation between Senior One students’ mathematical modeling ability and self-monitoring ability,and then provides empirical support for optimizing mathematical modeling teaching from the angle of improving Senior One students’ self-monitoring ability.Through the review of the literature on self-monitoring capabilities and mathematical modeling capabilities,this article proposed the assumption that there may be a correlation between Senior One students’ mathematical modeling capabilities and self-monitoring capabilities.Based on it,a questionnaire for self-monitoring ability and a test for mathematical modeling ability were designed.The data was processed and analyzed from the aspects of the overall situation of students’ mathematical modeling ability and selfmonitoring ability,the relevance of mathematical modeling ability and self-monitoring ability,the influence of self-monitoring ability on mathematical modeling ability to verify the previous hypothesis.Finally,some suggestions were given for the teaching of mathematical modeling ability.Aiming at the research problems,the following results were obtained:(1)The Senior One students’ mathematical self-monitoring ability belonged to superior middling;(2)The Senior One students’ mathematical modeling ability was generally at the lower middle level;(3)There was a significant positive correlation between Senior One students’ mathematical modeling ability and self-monitoring ability.Students’ self-monitoring behaviors during the process of mathematical modeling could significantly affect the results of modeling.Based on the above results,the following suggestions were made for the teaching of mathematical modeling in middle schools:(1)Strengthen the teaching of self-monitoring strategies for mathematical modeling activities;(2)Introduce methodological guidance for the correct planning and organization of knowledge;(3)Improve students’ modeling belief and adjustment ability;(4)strengthen the consciousness of checking the modeling process and results;(5)cultivate students’ self-reflection learning habits.