Unit TEACHING OF MATHEMATICS
- Course
- Primary teacher education
- Study-unit Code
- A000594
- Curriculum
- In all curricula
- Teacher
- Nicla Palladino
- CFU
- 7
- Course Regulation
- Coorte 2019
- Offered
- 2020/21
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa integrata
TEACHING OF MATHEMATICS
| Code | A000596 |
|---|---|
| CFU | 6 |
| Teacher | Nicla Palladino |
| Teachers |
|
| Hours |
|
| Learning activities | Caratterizzante |
| Area | Discipline matematiche |
| Academic discipline | MAT/04 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | Italian |
| Contents | Methodological indications on particular topics of mathematics. Problem solving. Critical analysis of the main teaching methods developed in research in mathematics education and in the history of mathematics, also with reference to the specific role of the teacher, to the conceptual, epistemological, linguistic and didactic problems of teaching and learning mathematics. |
| Reference texts | Palladino, Palladino, Lombardi; Algoritmi ekementari del calcolo aritmetico e algebrico. Tradizione e modernità. Bologna, Pitagora 2005. B.D'AMORE, Elementi di Didattica della Matematica, Pitagora, Bologna, 1999 |
| Educational objectives | analysing and planning teaching sequences relative to the topics of the course |
| Prerequisites | Basic knowledge of sets, operations, algebra, elementary geometry. |
| Teaching methods | Individual and group-work activities and exercises on mathematics problems; brain storming, problem solving |
| Other information | Additional notes will be provided during the course. See also: G.R.I.M. (Gruppo di Ricerca insegnamento/Apprendimento delle M a t e m a t i c h e ) : http://dipmat.math.unipa.it/~grim/matdit.htm e dal sito |
| 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. Misconceptions in arithmetic and geometry: the angle, the heights, the diagonals. Examination of some textbooks of primary schools. The student / teacher interaction: the didactic contract. Problem solving. Cooperative learning. The constructivism. Utility of history in mathematics education. Types of learning obstacles. How to structure a work. Natural numbers; dividers and multiples of a natural number. The prime numbers and methods of use in class from the history of mathematics. The sieve of eratosthenes. Prime numbers and cryptography: tools for playing in class. Prime factors and the fundamental theorem of arithmetic. Maximum common divisor and least common multiple: definition and algorithms from the history of mathematics (Euclid's algorithms). Multiplication with the "Arabian" grid method. Multiplication with the Egyptian method. The sticks of Nepero. Fibonacci numbers and golden section: art, nature and history. The square root: side and diagonal numbers. Incommensurability and irrational numbers: Pi and Phi. Pythagorean geometric numbers; triangular numbers, square numbers, pentagonal numbers; how to use them in the classroom; how to deduce formulas to generate them. The Pythagorean triads. First degree equations. Problems solvable by first degree equations; alternative methods to equations. The role and importance of logic in teaching; flow charts; an example of activity with "the figurines". The laboratory and the artifacts. The geopiano and the algorithm of the Arabs (of easy realization). Definition of a regular star polygon. The use of star polygons in the learning of elementary plane geometry. The misconceptions highlighted in plane geometry. Presentation of a classroom activity. Misconceptions on the concave polygons. The link between regular star polygons and coprime numbers. Sfard's research on learning mathematics. Presentation of activities in the classroom: from solid geometry to plane geometry (the polyhedra and the Euler formula); the golden section; plane geometry with paint. Critical analysis of the main teaching methods developed in research in mathematics education and in the history of mathematics, also with reference to the specific role of the teacher, to the conceptual, epistemological, linguistic and didactic nodes of teaching and learning mathematics |
LABORATORY FOR TEACHING OF MATHEMATICS
| Code | A000595 |
|---|---|
| CFU | 1 |
| Teacher | Nicla Palladino |
| Teachers |
|
| Hours |
|
| Learning activities | Caratterizzante |
| Area | Discipline matematiche |
| Academic discipline | MAT/04 |
| Type of study-unit | Obbligatorio (Required) |
| Language of instruction | Italian |
| Contents | The aim is to integrate the Mathematics Education course with laboratory activities and software use. The pedagogical methodologies in the Didactics course will be applied |
| Reference texts | Palladino, Palladino, Lombardi; Algoritmi elementari del calcolo aritmetico e algebrico. Tradizione e modernità. Bologna, Pitagora 2005. |
| Educational objectives | analysing and planning teaching sequences relative to the topics of the course |
| Prerequisites | Basic knowledge of sets, operations, algebra, elementary geometry |
| Teaching methods | Individual and group-work activities and exercises on mathematics problems; brain storming, problem solving |
| Other information | Per approfondire: Materiale didattico in rete sul sito del G.R.I.M. (Gruppo di Ricerca insegnamento/Apprendimento delle Matematiche): http://dipmat.math.unipa.it/~grim/matdit.htm e dal sito https://rsddm.dm.unibo.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 | See topics in Didattica della Matematica |