An event which is not understood is called traumatic. Let you give some money for your mother, but you don’t tell her what your reason, so you can make your mother feel traumatic. When a mathematics teacher gives some formula, but he doesn’t explain his students, the students will be traumatic. In politic, traumatic is called authority. A person who can’t explain her/his reason do something is called authority. But in philosophy, traumatic can be accident. So we must make communication to decrease traumatic. The component of communication is sender, constant and receiver. Sender is people who send messages. Constant is messages. Receiver is people who receive the messages. Effective communication is dynamic communication. Effective communication must be flexible and contextual. Starting from sensation will be apperception, then apperception will be readiness, and readiness will be awareness. Some sensation can make a perception and some perception can make a concept. There are two kinds of concept, a-priori concept and empirical concept. A-priori concept contain of assumption, pure sciences, definition, axiom, theorem and concept. Assumption is undefined term. Pure sciences are arranged for senior high school and students which level highest. The world is traumatic, so don’t be afraid to solve traumatic.
Limit tolerance can be measured and measure can be compared. So it will be characteristic of phenomena. Characteristics of phenomena consist of quantity (universal, partial, singular), quality, category, and relation (subject, predicate). Theory of mind says that mathematics is student’s mind.
Structure of teaching: introduction, transfer knowledge process and closing rework. The schema of interaction is classical, group discussion, and individual. The schema of competencies achievement is the nature student and the nature subject. The natures of student learn mathematic need motivation and application, individual, need collaboration, and learn in context. The nature of school mathematic is pattern and relation, problem solving, investigation, and communication.
