History and didactics of calculus (first part)

A.Y. 2018/2019
6
Max ECTS
52
Overall hours
SSD
MAT/04
Language
Italian
Learning objectives
The course aims to offer a critical reading of some fundamental topics of mathematical analysis with the aim of acquiring skills in the field of teaching methodologies and technologies
Expected learning outcomes
Basic elements of methodologies and technologies for the teaching of analysis useful for the exercise of the teaching profession.
Course syllabus and organization

Single session

Lesson period
Second semester
Course syllabus
Some questions regarding the teaching of the infinitesimal calculus in secondary school will be studied in depth. Particular emphasis will be placed on the use of the history of mathematics as a useful tool for identifying and deepening epistemological obstacles in dealing with basic issues of mathematical analysis. A large part of the course will be dedicated to the design and development of educational paths that also include the use of software.
Among the topics covered: the concept of function in its various declinations, both didactic and historical; limits of sequences and functions, continuity and derivability. Various approaches to the calculation of areas and volume, the principle of exhaustion, the theory of indivisibles and the integrals of Cauchy and Riemann.
MAT/04 - MATHEMATICS EDUCATION AND HISTORY OF MATHEMATICS - University credits: 6
Laboratories: 24 hours
Lessons: 28 hours
Professors: Calanchi Marta, Cogliati Alberto, Tarallo Massimo Emilio
Professor(s)