Yes, the most important step in the Analytic method of teaching mathematics is to break up the problem at hand into its constituent parts.
In the Analytic method, the teacher helps students approach complex problems by breaking them down into smaller, more manageable components. This step-by-step approach allows students to understand the underlying structure of the problem, recognize patterns, and solve it systematically. By focusing on individual parts of the problem, students can work through each section logically and come to a solution in an organized manner. This method promotes critical thinking and helps students develop problem-solving skills.