Abstract
The constant career growth of novice educators holds significant importance within the framework of the Republic of Kazakhstan's modernization and digitalization of its education system. As practice demonstrates, young specialists have several methodological and organizational problems, and the currently existing support programs may not necessarily presuppose systematic organization and priority of addressing the most important problems. Thus, the modern world requires new tools for analyzing and visualizing educational processes. The purpose of the research is to create a graphical model of the relations of the key activities of the professional growth of early-career teachers, as a result of which it will be possible to prioritize and enhance the effectiveness of the support programs. The study has a methodological basis that will involve the systems approach and aspects of project management. The techniques involved include the interpretation of regulatory documents, professional assessment, and secondary processing of survey data involving 178 novice teachers and the use of directed graphs and an adjacency matrix to graph model. yEd software was used to perform visualization and calculate the indicators of centrality. The outcomes of the research enabled determining ten major tasks of professional growth, and the most important of them are the introduction of new teaching techniques and the belonging of teachers to professional communities. The graph model built proved that the given tasks have a very high centrality and introduce a system-forming impact on the other spheres of development. Comparing the results with the matrix of adjacency of key tasks confirmed the practical applicability of the model. The conclusions show that the graph-based methodology allows arranging the tasks of professional development and finding rational interrelatedness between them. This renders it a powerful instrument in the design of professional development initiatives and post-course support of teachers. The given model can be embedded into the digital learning platforms and implemented in management planning, thus promoting the effectiveness of continuous professional development.