Università Roma Tre

The origins of mathematical concepts. Counting and the extensions of the numerical system. Elementary geometry and the intuition of the continuum. Measure. From Greek mathematics to Modern mathematics. A cultural view of mathematics. Why mathematics in compulsory education? An instructional tradition and our contemporary world. The child mathematical mind from the pedagogical and mathematical viewpoint. The mathematics class room: from preschool to the first grade of primary school. Teaching mathematics in primary school: words and symbols. Building an intimate relationship with numbers. The network of conceptual links inside mathematics. The role of mathematics in science. Computer science and mathematics. Working in the classroom: an approach based on mathematical problems. Individual vs group work; written vs oral and motion work. Math talk. Diagrams and math drawings. Didactical material. The error in the child learning mathematics. Assessment in primary mathematics education.

ANA MILLÁN GASCA, Numeri e forme. Didattica della matematica con i bambini. Zanichelli, Bologna.
GIORGIO ISRAEL e ANA MILLÁN GASCA Pensare in matematica. Zanichelli, Bologna
HANS MAGNUS ENZENSBERGER, Il mago dei numeri (The number devil. A mathematical adventure), Einaudi, Torino, several editions.
ANNA CERASOLI, Sono il numero 1/ Io conto /Tutti in cerchio, Milano, Feltrinelli, varie edizioni. (mathematical readings for children)
MARGARET DONALDSON 2010 Come ragionano i bambini (Children’s minds), Springer, Milano (English ed. 1978)
FEDERIGO ENRIQUES 1921, “Insegnamento dinamico”, Periodico di Matematiche, s. IV, 1, pp. 6-16.
http://www.mat.uniroma2.it/mep/Articoli/Enri/Enri.html
MARTIN HUGHES 1986, Children and Numbers, Difficulties in Learning Mathematics, Oxford & New York, Basil Blackwell.
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, La matematica moderna, esiste?
http://www.mat.uniroma3.it/users/primaria/Thom.pdf (Talk at the Conference “Developments in mathematical education”, International Commission for Mathematical Instruction, Exeter, 1972, original English edition by A.G. Howson, Cambridge University Press, 1973).