1. Mathematics software, with particular attention to their use for teaching mathematics in school. 2. Analysis of the potential and criticality of the use of technological tools for teaching and learning mathematics.
Curriculum
scheda docente
materiale didattico
Commands for numerical and symbolic calculus, graphics visualization, parametric surfaces and curves with animations in changing parameters.
Solving problems: triangle's properties in Euclidean and non-Euclidean geometry with examples, approximation of pi and other irrational numbers, solutions of equations and inequalities, systems of equations, defining and visualizing geometrical loci, function integral and derivatives, approximation of surface area.
Mutuazione: 20410459 MC430 - LABORATORIO DI DIDATTICA DELLA MATEMATICA in Matematica LM-40 FALCOLINI CORRADO
Programma
Teaching mathematics with the help of a computer: GeoGebra and Mathematica softwares.Commands for numerical and symbolic calculus, graphics visualization, parametric surfaces and curves with animations in changing parameters.
Solving problems: triangle's properties in Euclidean and non-Euclidean geometry with examples, approximation of pi and other irrational numbers, solutions of equations and inequalities, systems of equations, defining and visualizing geometrical loci, function integral and derivatives, approximation of surface area.
Testi Adottati
List of problems given in class concerning visualization and solutions with the help of software Mathematica or GeoGebra.Modalità Erogazione
All lessons, using a cooperative organization, will be in presence in a computer laboratory and with on-line connections using TEAMS.Modalità Frequenza
Students must attend at the least the 75% of lessons to be admitted to the final examModalità Valutazione
The oral exam will be a presentation of a composition on an innovative teaching unit which make use of a computer, on subject taken from curricular programs.
scheda docente
materiale didattico
Commands for numerical and symbolic calculus, graphics visualization, parametric surfaces and curves with animations in changing parameters.
Solving problems: triangle's properties in Euclidean and non-Euclidean geometry with examples, approximation of pi and other irrational numbers, solutions of equations and inequalities, systems of equations, defining and visualizing geometrical loci, function integral and derivatives, approximation of surface area.
Mutuazione: 20410459 MC430 - LABORATORIO DI DIDATTICA DELLA MATEMATICA in Matematica LM-40 FALCOLINI CORRADO
Programma
Teaching mathematics with the help of a computer: GeoGebra and Mathematica softwares.Commands for numerical and symbolic calculus, graphics visualization, parametric surfaces and curves with animations in changing parameters.
Solving problems: triangle's properties in Euclidean and non-Euclidean geometry with examples, approximation of pi and other irrational numbers, solutions of equations and inequalities, systems of equations, defining and visualizing geometrical loci, function integral and derivatives, approximation of surface area.
Testi Adottati
List of problems given in class concerning visualization and solutions with the help of software Mathematica or GeoGebra.Modalità Erogazione
All lessons, using a cooperative organization, will be in presence in a computer laboratory and with on-line connections using TEAMS.Modalità Frequenza
Students must attend at the least the 75% of lessons to be admitted to the final examModalità Valutazione
The oral exam will be a presentation of a composition on an innovative teaching unit which make use of a computer, on subject taken from curricular programs.
scheda docente
materiale didattico
Commands for numerical and symbolic calculus, graphics visualization, parametric surfaces and curves with animations in changing parameters.
Solving problems: triangle's properties in Euclidean and non-Euclidean geometry with examples, approximation of pi and other irrational numbers, solutions of equations and inequalities, systems of equations, defining and visualizing geometrical loci, function integral and derivatives, approximation of surface area.
Programma
Teaching mathematics with the help of a computer: GeoGebra and Mathematica softwares.Commands for numerical and symbolic calculus, graphics visualization, parametric surfaces and curves with animations in changing parameters.
Solving problems: triangle's properties in Euclidean and non-Euclidean geometry with examples, approximation of pi and other irrational numbers, solutions of equations and inequalities, systems of equations, defining and visualizing geometrical loci, function integral and derivatives, approximation of surface area.
Testi Adottati
List of problems given in class concerning visualization and solutions with the help of software Mathematica or GeoGebra.Bibliografia Di Riferimento
C. Falcolini, Teaching mathematics using computers: Algorithms for problem solving and the role of visualization. AIP Conference Proceedings 2096, 020026 (2019); https://doi.org/10.1063/1.5097823 C. Falcolini, Solving Challenging Problems using GeoGebra...at a Distance. pp.30-44. In YUNGHAP GYOYUK YEON-GU - ISSN:2466-0280 vol. 7 (2) (2021) M. Abate, F. Tovena, Curve e Superfici, Springer (2006)Modalità Erogazione
All lessons, using a cooperative organization, will be in presence in a computer laboratory and with on-line connections using TEAMS.Modalità Frequenza
Students must attend at the least the 75% of lessons to be admitted to the final examModalità Valutazione
The oral exam will be a presentation of a composition on an innovative teaching unit which make use of a computer, on subject taken from curricular programs.