Some parts of the idea of function are accessible even to babies. The goal of this unit is to help people who are starting to develop the concept of function. As usual, we advise approaching this concepts from its common sense and intuitive sides. It is better to start learning the topic early in life, returning to it again and again, each time with a new level of understanding. You may notice that mentor rarely tells if students' answers are right, but rather gives examples that clarify the matters.
Mentor gives examples in response to both right and wrong answers.
It teaches students that examples are one of the best tools for testing a theory. Math itself, together with each student's own reasoning, is presented as the only reliable source of information on what is correct. Ideally, students should not be able to find out if the answer is right or wrong by mentor's reaction. As a result, students should firmly believe that observing human reactions is not a good way to test a mathematical theory. It does not matter if students do not understand every single detail of a unit.