Research on mathematics education shows a number of open problems, some of them shared with the general issue of education and, others, specific of mathematics education. For example, an experience very usual among mathematical teachers is to listen some students ask: "But, what is the use of this?". Not always the answer is to show some use, but, surely, always the teacher have to care about the meaning of what he's teaching. So, the question is: how to build up this meaning working with mathematical topics? In the lasts decades (and with precursors in the end of the XIX century), the history of mathematics as a important (maybe central) element to plan and build up educational activities gain strength in academic researches, accordingly some different (and complementary) slopes: anecdotes, context reconstruction, technics and method discovery, discussion among different conceptions,, etc. So, this theorethical and bibliographical research is about to analyze what kind of contribution mathematical history can provide, looking for building up the meaning with the students. To give a context to this study, the concept of meaning and signification are analyzed: so, the meaning is perceived in a constructivist scope, in witch concept and ideas are related each other in a network of knowledges. By a dialectic interaction among of different personal meanings, there is the hope that something shared by all may be appear: the signification. The construction of meaning happens by narrations, that are the scenario where the construction and linking of ideas take place; besides, such narrations never occur in the "void", but always in a social end historic defined context (the research of Paulo Freire are seminal about this). In addition, some possibilities about history of mathematics and teaching relations are discussed, underlining, among various elements, the relevance of fundamental ideas and interdisciplinary subjects,(about this, Bento de Jesus Caraça researches' are considered a milestone). Finally, two criteria are elaborated to discuss the role that have history of mathematics in the construction of a narrative in the classroom: narrative potential and historical potential. The first one is about the plotline that an historical fact has and how much it could be interesting for pupils; the second one is about the possibility to perceive, by historical analysis, the relations with other topics of mathematics and the relations with topic external to mathematics (transdisciplinary). Independently of this two slopes, always exist the possibility to research history looking for fundamentals ideas embedded in the born of a mathematical concept. Three cases of study are presented to illustrate such aspects: young Gauss who discover how to sum the terms of arithmetic progression; the born of logarithm; and the analyses of circle and sphere proposed by Archimedes. There is one last casethe born of Universal Gravity Law by Newtondiscussed to show the importance of a number of fundamental ideas, such as, the mental experimen...