Please rephrase the given paragraph which is the introduction part of a research paper in the area of psychology in a professional and clear way without removing the references Replace my simplitied A

In recent years, the Program for International Student Assessment (PISA) has gained widespread recognition as a crucial tool for evaluating the quality of teaching, learning, and educational policies. As a result, academic engagement has become an essential indicator of the quality of school education, garnering increased attention from educators and researchers in China and beyond. Furthermore, the growing field of positive psychology has focused on positive and constructive aspects of individual growth, including academic engagement and autonomy support. Parents, as influential figures in an individual's development, have been found to have a significant impact on their child's commitment to learning. Parental autonomy support has been identified as a crucial family factor that influences junior high school students' motivation, study habits, and academic engagement. This study aims to explore the internal and external influences on academic engagement and the mechanisms by which parental autonomy support, core self-evaluation, and intentional self-regulation affect academic engagement. The study involved a questionnaire survey of 1090 junior high school students, analyzing the data using SPSS 20.0 for descriptive statistics and Process v3.50 version plug-in for moderated in-mediated analysis. The findings revealed a significant positive correlation between perceived parental autonomy support, core self-evaluation, intentional self-regulation, and academic engagement. Core self-evaluation was found to partially mediate the relationship between parental autonomy support and academic engagement. Intentional self-regulation was identified as a moderating variable that could enhance the positive effects of parental autonomy support on middle school students' formation of positive core self-concept. This study provides a theoretical and empirical basis for promoting individual academic development and improving students' academic engagement. To foster a supportive environment and cultivate positive psychological traits, parents should encourage and support individual autonomy and decision-making, help individuals construct positive self-perceptions, and provide targeted training in goal consciousness.