22902386 - Mathematic and mathematics Education

The aim of the course is to learn to teach mathematics in primary school and preschool. Three main lines are considered. First, approaching the history of elementary mathematics education in Europe, from the Middle Ages to the 20th century, and its tracks in modern children math education. Second, applying a vision of elementary mathematics from a higher standpoint to mathematical activities with children; third, discussing the mathematical path of children before and during school, considering naïf mathematical conceptions as linked to the acquisition of language and body development and the endeavor of the teachers at school.


With the study of mathematics and didactics of mathematics the student will be able to achieve the following educational objectives.
- Knowledge and understanding
- Knowledge of elementary mathematics as a subject in pre-school and primary school, including mathematical concepts as well as historical and epistemological aspects.
- Understanding of main issues in mathematics primary education
- Applying knowledge and understanding
- Ability to project and guide math activities in the classroom with children
- Making judgements
- Ability to analyse the educational situations regarding mathematics teaching and children's learning of mathematics
- Communication skills
- Ability to develop and lead math talk with children, to present examples and problems
- Learning skills
- Openness to further study in depth of elementary mathematics topics, historical and philosophical research, and the evolution of goals and methods of mathematics education in the international scene.
teacher profile | teaching materials

Programme

With the study of mathematics and didactics of mathematics the student will be able to achieve the following educational objectives.
- Knowledge and understanding
- Knowledge of elementary mathematics as a subject in pre-school and primary school, including mathematical concepts as well as historical and epistemological aspects.
- Understanding of main issues in mathematics primary education
- Applying knowledge and understanding
- Ability to project and guide math activities in the classroom with children
- Making judgements
- Ability to analyse the educational situations regarding mathematics teaching and children's learning of mathematics
- Communication skills
- Ability to develop and lead math talk with children, to present examples and problems
- Learning skills
- Openness to further study in depth of elementary mathematics topics, historical and philosophical research, and the evolution of goals and methods of mathematics education in the international scene.


Core Documentation

Ana Millán Gasca 2016 Numeri e forme. I bambini e la matematica. Zanichelli, Bologna.
Giorgio Israel, Ana Millán Gasca 2012 Pensare in matematica, Zanichelli, Bologna. (Read chap.1, chap. 2, § 4. 4, §7.1 and 7.2, § 8.5, chap. 13)
Ana Mazzitelli, Ana Millán Gasca 2021, L'abc della matematica. Carocci, Roma.


Reference Bibliography

Papers and additional materials will be found on Formonline. Children's books and picture books can be chosen by the student. FEDERIGO ENRIQUES 1921, “Insegnamento dinamico”, Periodico di Matematiche, s. IV, 1, pp. 6-16. http://www.mat.uniroma2.it/mep/Articoli/Enri/Enri.html LAURENT LAFFORGUE 2007, L’insegnamento del calcolo nella scuola primaria, http://www.mat.uniroma3.it/users/primaria/Lafforgue_Calcolo scuola primaria.pdf ANA MILLÁN GASCA 2009 All’inizio fu lo scriba. Piccola storia della matematica come strumento di conoscenza, mimesis, Milano. RENÉ THOM 1973, Modern mathematics: does it exist, in Developments in Mathematics educations (G. Howson, ed.), Cambridge University Press Italian version in http://www.mat.uniroma3.it/users/primaria/Thom.pdf MARGARET DONALDSON various editions Children's minds (1978) MARTIN HUGHES 1986, Children and Numbers, Difficulties in Learning Mathematics, Oxford & New York, Basil Blackwell.

Type of delivery of the course

The course is divided in two semesters. The I semester will be developed online using Formonline (https://formonline.uniroma3.it) where the student can found instructions for reading materials, podcasts and video, as well as other materials regarding the course. As soon as possible face-to-face lessons will be held regularly (4 hours a week).

Type of evaluation

The written exam includes 2/3 open questions, including practical exercises regarding the didactical guiding ideas considered in the course.