Upon entering the realm of teaching, I am discovering many who believe teaching mathematics is about finding numbers, taking square roots, repeating over and over again the need to "see" how to isolate the variable, and factor ("the way I showed you"). The language associated with mathematics is slowly slipping away. The ideas surrounding mathematics have become vague.
Mathematics is the study of, not the solutions to, problems. The use of quantities, numbers, and symbols enhances the way in which problems can be created, analyzed, and solved.
Relationship question #1
1) Language Arts : Communicating | Mathematics : ?
a) Thinking b) Analyzing c) Solving d) Knowing
Each answer seems reasonable, however, choice a) Thinking is the skill with which mathematics develops.
Mathematics, as a thinking (discovery) course, will have a profound impact on the learners which will carry over into all areas of the learning process.