This paper is, essentially, the transcription of my conference at the conference CIEAEM 63, promoted by the CIEAEM/Commission for the Study and Improvement of Mathematics Teaching, held in Barcelona, Spain, from 24 to 29 July 2011. The main objective of the CIEAEM, since its foundation, in the fifties, has been to analyze the actual conditions and the possibilities for the development of mathematics education in order to improve the quality of teaching mathematics. The annual conferences are the essential means for realizing this goal. The main theme of the annual conference of 2011 was �Facilitating access and participation: Mathematical practices inside and outside the classroom�. I understand access and participation as Social Justice.
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