Online Teachers And Students' Collaboration On Mathematical Problem Solving

Online education,as an important form of educational informationization,has received wide attention all over the world.Online education has broken through the limitation of time and space of educational resources,making an increasing number of educational activities shift from traditional offline face-to-face communication to online form and reshaping the ecological pattern of education.In addition,PISA2015 has realized the assessment of students' "collaborative problem-solving" ability for the first time,and inspired a cascade of assessment of advanced skills such as collaborative problem-solution around the world.This study selected two online tutoring videos of teachers and students as samples,and the teaching content included four hours of "the definition of function" and "function representation" of high school mathematics with 179 minutes in total.Statistics showed that the frequency of teacher-student exchanges reached 2,132 with rounds.Based on Bloom's theory of Cognitive Goal Classification,the paper built an online code analysis framework for teacher-student to collaboratively solve problems on mathematics and invited young scholars in the field of mathematics education to evaluate the reasonableness of this framework.Meanwhile,two coders were trained to conduct back-to-back independent coding and Spearman correlation coefficient was applied to test.The test results were 0.524 and 0.359,respectively,showing a significant correlation.The inconsistent coding contents were discussed and determined.Finally,the visualization and case analysis of the problem solving of teacher-student collaboration on mathematics were carried out on the basis of unified coding results.It is found that in terms of solving mathematical problem by online teacher-student collaboration is dominated by teachers and students lack initiative;there are few teacher-student communications that take place in the mathematical introduction and summary part;Online teachers and students solve myriads of math problems,but the application and development of problem-solving capacity remains relatively inferior to off-line education.The study also puts forward the following countermeasures for these problems: improve students' online-learning initiative with technological assistance,appropriately increase the interactivity in math introduction and summary,and attach great importance to the application and development of solving math problems of online teachers and students.