The Meta-rules between Natural Language and History of Mathematics

The Algebra between the History and the Didactics, a Variety of Perspectives

Before going on to outline teaching, we need a short historical–epistemological process that can draw criticism, quite basic, the key stages of the long journey and suffered from the trend on Algebra as the Arithmetic. We believe the combination of arithmetic-algebra as significant for the relationship between mathematical thinking. Considerations should be made parallel to the geometric area in which we mention in the discussion of the chapter but that remains an issue open to possible future theoretical and experimental investigations.