Historical Conceptual Developments and The Teaching of Mathematics: From Philogenesis and Ontogenesis Theory to Classroom Practice

@inproceedings{Furinghetti2002HistoricalCD,
  title={Historical Conceptual Developments and The Teaching of Mathematics: From Philogenesis and Ontogenesis Theory to Classroom Practice},
  author={Fulvia Furinghetti and Luis Radford},
  year={2002}
}
Using a unified method to make elliptic, hyperbolic, and other graphics. From this process, we can see what is the key to make dynamic geometry .It is necessary to use the thinking and methods of mathematics flexibly. The way of making dynamic geometry software can promote the development of teacher profession. 
Teaching of old historical mathematics problems with ICT tools
The aim of this study is to examine how teachers can use ICT (information and communications technology) tools and the method of blended learning to teach mathematical problem solving. The new
Prime Numbers are Infinitely Many: Four Proofs from History to Mathematics Education
Summary. The use of History into Mathematics Education links teaching-learning processes with historical elements. In this paper we discuss some epistemological issues related with the historical
History of Mathematics and Didactics: Reflections on Teachers Education
TLDR
It is concluded that mathematical knowledge, didactical competence and historical knowledge cannot exist in isolation and their connections reflect important epistemological assumptions, so such aspects must be integrated in pre-service training courses.
Conceptions for relating the evolution of mathematical concepts to mathematics learning—epistemology, history, and semiotics interacting
There is an over-arching consensus that the use of the history of mathematics should decidedly improve the quality of mathematics teaching. Mathematicians and mathematics educators show here a rare
Introducing pupils to algebra as a theory: L'Algebrista as an instrument of semiotic mediation
A research study on the use of computer software (L'Algebrista) as instrument of semiotic mediation to introduce pupils to algebra as a theory.
Exhaustion argument and limit concept in the History of Mathematics: educational reflections
In this paper we consider some epistemological issues related with the historical presentation of a mathematical concept, with particular reference to the educational introduction of infinitesimal
Analysing the use of history of mathematics through MKT†
In this article, we analyse three ‘classical’ cases of using history of mathematics in teacher training and reinterpret them using the framework of mathematical knowledge for teaching (MKT). We
MATHEMATICS EDUCATION AND HISTORICAL REFERENCES: GUIDO GRANDI'S INFINITE SERIES
Integrating history of mathematics into the mathematics education is an important point: the use of history in education can be an effective tool for the teacher. In this paper an example from the
On the relations between historical epistemology and students’ conceptual developments in mathematics
There is an ongoing discussion within the research field of mathematics education regarding the utilization of the history of mathematics within mathematics education. In this paper we consider
INEQUALITIES AND EQUATIONS: HISTORY AND DIDACTICS
The historical development of equations and inequalities is examined, in order to underline their very different roles in various socio-cultural contexts. From the educational point of view,
...
...

References

SHOWING 1-10 OF 153 REFERENCES
Historical formation and student understanding of mathematics
TLDR
The use of history of mathematies in the teaching and learning of mathematics requires didactical reflection and the relation between how students achieve under standing in mathematics and the historical construction of mathematical thinking is explored.
Integrating history of mathematics in the classroom: an analytic survey
An analytical survey of how history of mathematics has been and can be integrated into the mathematics classroom provides a range of models for teachers and mathematics educators to use or adapt.
History of Mathematics, Mathematics Education, School Practice: Case Studies in Linking Different Domains
In this paper we consider how the domains of mathematics education and history of mathematics may interact in the process of mathematics teaching. We try to tackle the problem by focussing on the
Historical Digressions in Greek Geometry Lessons.
This paper presents an attempt to combine the history of mathematics of ancient Greece with the course on theoretical geometry taught in Greek secondary schools. The very fact that this attempt has
The history of mathematics as a coupling link between secondary and university teaching
During the years they spend in university, many mathematics students develop a very poor conception of mathematics and its teaching. This fact is bad in all cases, but even more in the case of those
On Psychology, Historical Epistemology, and the Teaching of Mathematics: Towards a Socio­ Cultural History of Mathematics*l
During these last years, the history of mathematics has been increasingly used for teaching purposes. One of the very well-known ways of doing so is to relate historical anec­ dotes to students.
Philosophical, multicultural and interdisciplinary issues
School mathematics reflects the wider aspect of mathematics as a cultural activity. From the philosophical point of view, mathematics must be seen as a human activity both done within individual
History in mathematics education : an ICMI study
TLDR
This book discusses history in support of diverse educational requirements - opportunities for change, Philosophical, multicultural and interdisciplinary issues, and the use of original sources in the mathematics classroom.
Using History in Mathematics Education.
For decades if not centuries now, a few voices in each generation have urged the value and importance of using history in teaching mathematics but so far without this insight taking firm and
Historical and pedagogical aspects of the definition of function
Since the beginning of the nineteenth century, mathematics has been undergoing a revolution. In this paper the author discusses the definition of the function in the light of this revolution. †
...
...