Unit DIDACTICS OF MATHEMATICS

Course
Mathematics
Study-unit Code
55013206
Curriculum
Didattico-generale
Teacher
Nicla Palladino
Teachers
  • Nicla Palladino
Hours
  • 42 ore - Nicla Palladino
CFU
6
Course Regulation
Coorte 2021
Offered
2021/22
Learning activities
Affine/integrativa
Area
Attività formative affini o integrative
Academic discipline
MAT/04
Type of study-unit
Opzionale (Optional)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents
The results of the research are presented as well as the theoretical and practical results of research in mathematics education, with attention also to the role of tools and technologies in the teaching of the discipline.
Reference texts
Palladino, Palladino, Lombardi; Algoritmi elementari del calcolo aritmetico e algebrico. Tradizione e modernità. Bologna, Pitagora 2005.
B. D’Amore: Elementi di didattica della Matematica. PITAGORA Editrice Bologna.
Educational objectives
Aim is to acquire critical knowledge on the teaching and learning processes of the discipline, of teaching methods and of the use of technologies for teaching and learning of. mathematics. Acquisition of ability to work in a group, to do problem solving activities. Use of dynamic geometry software and other educational applications.
Prerequisites
Basic knowledge of differential and integral calculus, algebra and geometry.
Teaching methods
Individual and group-work activities and exercises
on mathematics problems; brain storming, problem solving, software.
Other information
See also:
http://dipmat.math.unipa.it/~grim/matdit.htm
https://rsddm.dm.unibo.it/
http://www.syllogismos.it/
Learning verification modality
Oral examination starting from a work on a topic
chosen by the student with the support of the
teacher.
Extended program
General teaching and disciplinary teaching. Types of learning obstacles. Misconceptions. The student / teacher interaction: the didactic contract. Problem solving. Cooperative learning. Constructivism. Sfard's theory on learning mathematics. Reification. Reflections on some research. The use of history in mathematics education. National indications for the teaching of Mathematics. How to structure a learning activity. Reflections on presented learning activities. Analysis of the potential and criticality of the use of technological tools for teaching and learning mathematics. Main theoretical frameworks developed in mathematics education for the design and development of mathematics-based teaching and learning activities of new technologies. Analysis of teaching practices for learning mathematics mediated by the use of technologies.. Some concepts to develop and reorganize for meaningful learning: the golden section. Book II of the Elements of Euclid. Historical problems solvable by equations of first and second degree. The geometries of star polygons, from art to their definition in the 1600s
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