Algorithmic thinking is primarily assessed through standardized tests and professional tasks, limiting the ability to identify the specifics of algorithmization in individuals with varying programming experience. To refine the hypothesis regarding such specificity, we proposed an alternative assessment method that requires algorithmization but not specialized programming knowledge. Using the solution protocols of the task we developed, we identified quality parameters of algorithmization that allow for reliable encoding. The results demonstrated that the proposed method provides the required variability in solutions and enables the creation of new task variants based on the identified parameters. Additionally, the hypothesis about the specificity of algorithmization in individuals with different programming experience was further clarified, although its validation requires specific research.