Based on a variety of philosophical approaches and my own work for decades in
pure and applied mathematics teaching and research, I explain my view upon the
basic difficulties of acquiring the Mathematical Experience (in the sense of
P.J. Davis and R. Hersh 1981) and submit a list of claims how these
difficulties can and should be confronted.Comment: 17 pages, substantial bibliography. To appear in EM TEIA | Revista de
Educa\c{c}\~ao Matem\'atica e Tecnol\'ogica Iberoamericana, 4/4 (December
2013), Thematic issue on "Rural Education: Contributions From Mathematics and
Technological Education", http://www.gente.eti.br/revistas/index.php/emteia
