These similarities imply that the recent research findings in these areas can enrich the open-approach method, while the ideas underlain the open-approach method can be used as a global framework for integrating the fruits in the research areas. Considering that the open-approach style is also open to mathematics, the idea of open-approach can present a viewpoint from which we can reexamine how mathematics is located in the research or proposed teaching methods. For example, the open-approach presented some viewpoints in its evaluation, like flexibility, originality, and elegance, which reflect the nature of mathematics or "doing mathematics." This means that it tries to evaluate not only students' positive or active attitudes to mathematics, but also mathematical nature in students' thinking.