The Curriculum Teaching, History and Foundations of Mathematics of the Master's Degree in Mathematics provides a solid preparation on the Foundations of Mathematics, its history and teaching-learning methodologies in Teaching of Mathematics, with the aim of training highly professional figures who can find employment not only in the field of teaching, but also in other sectors such as publishing, dissemination, promotion and conservation of scientific culture and the history of mathematics at publishing houses, press offices, museums, public and private institutions. This curriculum also allows access to the Research Doctorate in the field of History of Mathematics or Teaching of Mathematics.
The structure of the training plan allows the student to also include teachings of Physics Teaching or teachings of Pedagogical/Psychological field that can then be explored in depth in the initial training path of future teachers, which will be provided by the Department, in particular for the A-26 and A-27 competition classes.
Some recent experiences of students who have continued their careers with teaching contracts in secondary schools:
Lucia Leoncelli (AA 2023/2024)
Thesis: “ Ellipses and ovals, when the differentiability is in two compass arcs: two curves compared ”
Noemi Oliveto (AA 2023/24)
Thesis: “ Bending Thought: From Origami to Theorems. A project for secondary school teachers to develop argumentation through the use of origami ”
Angela Bonizzi (AA 2023/2024)
Thesis: “ Paolo Ruffini's Sublime Calculus Lessons: Analysis of the Work and Comparison with Current Teaching ”
Roberta Rosellino (AA 2022/2023)
Thesis: “ Teaching Mathematics: a research on the transposition of mathematical contents in the case of students with Specific Learning Disorders ”
Sara Casoni (AA 2022/2023)
Thesis: “ Functions: an epistemological analysis from the first historical definitions to the conceptions of the freshmen of a Degree Course in Mathematics ”
Giulia Malvezzi (AA 2022/23)
Thesis: “ Validation and generalization in the algebraic field: a classroom experiment ”
Vanessa Mannina (AY 2021/22)
Thesis: “ Origami: from theory to classroom practices ”
Flavia Martella (AA 2021/22)
Thesis: “ The area: teaching habits and formal approach proposals ”
Lorenzo Contini (AA 2021/22)
Thesis: “ Difficulties in learning algebra: survey among secondary school students ”
Caterina Ferri (AA 2021/2022)
Thesis: " At the school of artificial intelligence: a vertical path of mathematics teaching "
Davide Arpini (AA 2020/2021)
Thesis: " Mathematical models between geometric transformations and waves: teaching proposal in secondary school "
Lucia Boldrini (AA 2020/2021)
Thesis: " Complex numbers: from historical roots to school desks "
Anita Lugli (AA 2019/2020)
Thesis: " A laboratory path on trisection with mathematical machines "
Damiano Lanti (AA 2019/2020)
Thesis: " Distance Learning (DaD) in the school of 2020. Interviews on the tools and methods adopted by some secondary school teachers "
Ivan Vadori (AA 2019/2020)
Thesis: " A laboratory path with mathematical machines: from Van Schooten's compass to the pantograph for axial symmetry "
Sara Ibatici (AA 2019/2020)
Thesis: " Analysis of the difficulties in approaching the texts of the Mathematical Competitions in the First Grade Secondary School "
Roberto Gialdini (AA 2018/2019)
Thesis: " Insights for the concept of area for high school students "
Cristina Zanni (AA 2017/2018)
Thesis: " A way to introduce students to demonstrations: Demonstrations Without Words "
Valeria Dondi (AA 2017/2018)
Thesis: " Conic sections at the scientific high school: an educational path with mathematical machines "
Mandatory courses:
• Teaching of Mathematics (MATH-01/B – 6 CFU)
• Fundamentals of mathematics (MATH-01/B – 12 CFU)
• History of Mathematics I (MATH-01/B – 6 CFU)
• Advanced scientific English (3 CFU)
18 CFU to be chosen from the following characterising courses:
• Stochastic processes (MATH-03/B – 6 CFU)
• Statistical mechanics (MATH-04/A – 6 CFU)
• Stochastic methods for simulations (MATH-04/A – 6 CFU)
• Systems of interacting particles (MATH-04/A – 6 CFU)
• Digital processing of signals and images (MATH-05/A – 6 CFU)
• Numerical optimization for artificial intelligence (MATH-05/A – 6 CFU)
• Inverse problems and applications (MATH-05/A – 6 CFU)
From 6 to 18 CFU to be chosen from the following similar courses (*):
• History of Mathematics II (MATH-01/B – 6 CFU)
• Algebraic structures (MATH-02/A – 6 CFU)
• Computational topology (MATH-02/B – 6 CFU, in English)
• Higher geometry (MATH-02/B – 6 CFU)
• Discrete Mathematics (MATH-02/B – 6 CFU)
• Fourier analysis (MATH-03/A – 6 CFU)
• Functional analysis (MATH-03/A – 6 CFU)
• Physics education (PHYS-06/B – 6 CFU, in English)
From 0 to 18 CFU freely chosen from the University's educational offering (**)
Mandatory courses:
• Elementary mathematics from a higher point of view (MATH-01/B – 6 CFU)
From 6 to 18 CFU to be chosen from the following similar courses (*):
• Higher algebra (MATH-02/A – 6 CFU)
• Algebraic curves (MATH-02/B – 6 CFU)
• Graph theory (MATH-02/B – 6 CFU)
• Geometric topology of manifolds (MATH-02/B – 6 CFU)
• Convex analysis and optimization (MATH-03/A – 6 CFU)
• Elements of quantum physics (PHYS-04/A – 6 CFU)
• Complex systems (INFO-01/A – 6 CFU, in English)
From 0 to 18 CFU freely chosen from the University's educational offering (**)
Further training activities (3 CFU) to be chosen from:
• Seminar activity
• Internship in schools
• Further language skills
Final exam (24 CFU)
(*) the total number of credits for related courses between the first and second year must be 24 CFU
(**) the total number of credits for elective courses between the first and second year must be 18 CFU