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Our goal in this paper is to propose an interpretation different from that which usually has been given on the subject 'mathematics or simultaneous mathematics', namely, that there would be different mathematics: the mathematics of the day-to-day, school mathematics, academic mathematics etc. This assertion is often made from reflections of the mature philosophy of Ludwig Wittgenstein. Thus, we intend to develop this work as follow: we will discuss some general issues in the first phase of Wittgenstein's thought. These issues help to understand the discussion that will follow; we will explain how is based the asserting of the existence of several mathematics, according to our understanding, and discussing concepts of Wittgenstein - with special attention to the concept of family resemblances - we propose our interpretation on the theme 'mathematics or simultaneous mathematics'. [ABSTRACT FROM AUTHOR]

The easiness by which we use language to communicate with others and to interpret what others say leads us to believe that language is transparent and of immediate comprehension. Linguistic studies, however, show that such transparency is illusory since the mother language is rife with indeterminations, ambiguities and dual meanings. Such reflections become even more important when we consider the classroom and the interactions that take place through language. This is because in school communication, the differences between the subjects involved, as long as mother language and specific knowledge are concerned, are part and parcel of every day situations. Therefore, it is important for the Math teacher to listen to the students and leave them at ease to expound their doubts and formulate their questions. Grounded on the results of research in mathematical education field, the objective of this paper is to discuss whether the communication which takes place in the classroom between the subjects in the educational process by means of language favors or not the building of mathematical knowledge by the students. [ABSTRACT FROM AUTHOR]