On the importance of a structured, systemic methodology to solve physics problems
To further motivate the subsequent discussion, let us summa-rize our introductory commentaries. We are essentially point-ing out three major problems in the learning and teaching of physics:
1) the demand by physics instructors for effective teach-ing strategies that would explain how much time should be spent on teaching intuitive conceptual rea-soning and how much time on developing students' quantitative reasoning, and how to teach both aspects holistically;
2) the students' need for suitable textbooks that will help them develop mathematical abilities reasoning, which are essential for enhancing their knowledge of concep-tual physics; and
3) a deficiency in the teaching of physics leading to stu-dents not being taught a coherent physics problem-solving strategy that would enable them to engage in both mathematical and conceptual reasoning.