Bi-subject monitoring of the results of mastering universal educational activities by students in 7th-9th grades in the process of teaching mathematics
Modern requirements for the quality of education in a general education school are defined in federal state educational standards in the form of a list of subject, meta-subject and personal educational results. The implementation of these requirements is associated with the need to develop new methods and technologies for the formation and development of students’ meta-subject skills and personal qualities through the means of mastered academic disciplines. The effectiveness of achieving the indicated requirements is due to the use of focused pedagogical monitoring of learning outcomes. This actualizes the problem of finding new technologies of monitoring subject, meta-subject and personal results of mastering academic disciplines. The methodological basis of the study includes the regulatory requirements of the federal state educational standard of basic general education, the system-activity and integrated approaches, theory and practice of pedagogical measurements. The experimental and practical component of the study is based on the calculation of the Pearson correlation coefficient and Spearman-Brown reliability coefficient. Universal educational activities formed in the process of teaching mathematics in 7th-9th grades were highlighted. The scientific idea of monitoring, the subject of which is both subject and meta-subject educational results, was formulated. The concept of monitoring, which is based on a set of basic (systematicity, continuity, phasing, openness) and special (bisubjectivity, dynamism, didactic expediency) didactic principles, was presented. The principles of developing diagnostic tools for bi-subject monitoring of universal educational activities of students in the process of teaching mathematics were formulated: integration of mathematical and meta-subject tasks, multilevelness, compliance of the content of a diagnostic tool with the requirements for mathematical training and the formation of universal educational activities, compliance with regulatory requirements. The developed concept was confirmed experimentally by monitoring the universal educational activities of 7th-grade students of three educational institutions in Divnogorsk city, Krasnoyarsk Territory as a result of studying the topic “Degree with natural exponent”. Based on the obtained monitoring data, the reliability coefficient of the tools used K=0.81 was determined by using the Spearman-Brown formula.