2. Scienze della Formazione Primaria
  3. Teaching
  4. Course Units

MATEMATICA DI BASE E DIDATTICA DELLA MATEMATICA

Scienze della Formazione Primaria MATEMATICA DI BASE E DIDATTICA DELLA MATEMATICA

4461000050
DIPARTIMENTO DI SCIENZE UMANE, FILOSOFICHE E DELLA FORMAZIONE
CORSO DI LAUREA MAGISTRALE A CICLO UNICO DI 5 ANNI
PRIMARY TEACHER EDUCATION
2014/2015

OBBLIGATORIO
YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2011
ANNUALE
CFUHOURSACTIVITY
1272LESSONS
GIANGIACOMO GERLA T Curriculum
Objectives
KNOWLEDGE AND UNDERSTANDING: THE COURSE AIMS AT PROVIDING STUDENTS WITH SOME BASIC KNOWLEDGE OF ARITHMETICS, MATHEMATICAL LOGIC, PROBABILITY THEORY. BESIDES THE COURSE AIMS AT ILLUSTRATING THE MAIN RESEARCHES IN MATHEMATICS EDUCATION AND THE DIFFERENT METHODOLOGIES IN THIS FIELD, IN PARTICULAR THE ONES REGARDING THE USE OF ARTIFACTS IN LABORATORY ACTIVITIES.
APPLYING KNOWLEDGE AND UNDERSTANDING: THE COURSE AIMS AT MAKING THE STUDENTS ABLE TO APPLY THE ACQUIRED KNOWLEDGE TO THE ELABORATION AND RESOLUTION OF SIMPLE PROBLEMS, MEANINGFUL FOR MATHEMATICS TEACHING IN PRIMARY SCHOOLS. BESIDES STUDENTS, STARTING FROM THE UNDERSTANDING OF THE RESULTS OF THE RESEARCHES IN MATHEMATICS EDUCATION AND FROM THE LABORATORY EXPERIENCES CARRIED OUT DURING THE COURSE, BECOME ABLE TO APPLY IN A CRITICAL WAY THE ACQUIRED KNOWLEDGE IN THEIR FUTURE TEACHING ACTIVITY.
MAKING JUDGMENTS: STUDENTS ARE GUIDED TO LEARN IN A CRITICAL WAY AND TO WIDEN IN AN AUTONOMOUS WAY THE ISSUES THE COURSE DEALS WITH. THE COURSE IS ALSO AIMED AT MAKING STUDENTS ABLE TO ENRICH ONE'S JUDGMENTS' CAPABILITIES BY MEANS OF THE STUDY OF THE DIDACTIC MATERIALS AND OF THE LABORATORY ACTIVITIES. IN PARTICULAR THE COURSE AIMS AT SUPPORTING STUDENTS IN THINKING OVER THE DIFFERENT EDUCATIONAL METHODOLOGIES RELATED TO MATHEMATICS TEACHING IN PRIMARY SCHOOLS.
COMMUNICATION SKILLS: THE COURSE AIMS AT PROVIDING STUDENTS WITH LINGUISTIC AND MATHEMATICAL TOOLS TO ALLOW THEM TO COMMUNICATE IDEAS AND PROBLEMS ABOUT MATHEMATICS, BOTH IN SCIENTIFIC DISCUSSIONS AND IN DIDACTIC SITUATIONS IN THEIR FUTURE TEACHING ACTIVITIES.
LEARNING SKILLS: THE COURSE AIMS AT MAKING STUDENTS ABLE TO DEEPEN IN AN AUTONOMOUS WAY THEIR STUDIES IN MATHEMATICS AND IN MATHEMATICS EDUCATION, IN ORDER TO SUCCEED IN USING THE ACQUIRED COMPETENCES IN THE FUTURE TEACHING ACTIVITIES, BOTH FROM THE POINT OF VIEW OF THE CONTENTS AND FROM THE POINT OF VIEW OF THE METHODOLOGIES.
Prerequisites
NO
Contents
ARITHMETIC. THE CONCEPT OF NUMBER. NATURAL NUMBERS. BASIC OPERATIONS AND RELATED PROPERTIES. PRIME NUMBERS AND GEOMETRICAL NUMBERS. DECIMAL POSITIONAL NOTATIONS OF NATURAL NUMBERS. NUMBERS’ REPRESENTATION DIFFERENT FROM THE DECIMAL ONE. INTEGERS. BASIC OPERATIONS AND RELATED PROPERTIES. FINITE ARITHMETIC. RATIONAL NUMBERS. REDUCTION TO NORMAL FORM. BASIC OPERATIONS AND RELATED PROPERTIES.

LOGIC. THE CONCEPT OF SET. OPERATIONS AMONG SETS. ORDER RELATIONS AND EQUIVALENCE RELATIONS. FUNCTIONS. CARDINALITY OF A SET AND EQUIPOTENCE CONCEPT. FINITE AND INFINITE SETS. HINTS OF PROPOSITIONAL CALCULUS AND OF PREDICATES CALCULUS. THE CONCEPT OF PROOF AND OF AXIOMATIC SYSTEM

PROBABILITY. HINTS OF PROBABILITY CALCULUS.

MATHEMATICS EDUCATION. DIDACTIC CONTRACT. PROBLEMS IN MATHEMATICS. CONFLICTS AND MISCONCEPTIONS. MATHEMATICS AND LANGUAGE. SEMIOTIC MEDIATION.
Teaching Methods
FRONT LECTURES, EXERCISES, LABORATORY ACTIVITIES.
Verification of learning
THE ASSESSMENT WILL BE CARRIED OUT BY MEANS OF WRITTEN AND ORAL EXHAMINATIONS. DURING THE EXAMINATION KNOWLEDGE OF THE MATHEMATICAL CONTENT OF THE ARGUMENTS, CAPABILITY TO EXPOSE THEM IN A CRITICAL MANNER AND TO CONTEXTUALIZE THEM IN THE FIELD OF TEACHING MATHEMATICS WILL BE EVALUATED.
Texts
DI SIENO SIMONETTA, LEVI SANDRO, ARITMETICA DI BASE. MCGRAW-HILL COMPANIES, 2005.
D’AMORE BRUNO. ELEMENTI DI DIDATTICA DELLA MATEMATICA. BOLOGNA: PITAGORA EDITRICE, 1999.
BARTOLINI BUSSI MARIA G.. MARIOTTI MARIA ALESSANDRA, MEDIAZIONE SEMIOTICA NELLA DIDATTICA DELLA MATEMATICA: ARTEFATTI E SEGNI NELLA TRADIZIONE DI VYGOTSKIJ (PAPER).

SUGGESTED READINGS:
ARITMETICA - SEMINARIO DI FORMAZIONE PER DOCENTI, QUADERNI N. 23, LSS "A.VALLISNERI", LUCCA. LINK: HTTP://WWW.LICEOVALLISNERI.IT/FRAME_INIZIALI/SETFRAME_PUBBLICAZ.HTML
MARASCHINI WALTER, PALMA MAURO, MULTIFORMAT. MODULI PER LA FORMAZIONE MATEMATICA NEL BIENNIO
ZAN ROSETTA. DIFFICOLTÀ IN MATEMATICA. OSSERVARE, INTERPRETARE, INTERVENIRE. SPRINGER,-VERLAG ITALIA, 2007.
MATEMATICA 2001 - MATERIALI PER UN NUOVO CURRICOLO DI MATEMATICA CON SUGGERIMENTI PER ATTIVITÀ E PROVE DI VERIFICA (SCUOLA ELEMENTARE E SCUOLA MEDIA), A CURA DELL'UNIONE MATEMATICA ITALIANA.
More Information
THE PLATFORM IS AN ADDITIONAL SUPPORT FOR A PART OF THE ACTIVITIES. FOR FURTHER INFORMATION, PLEASE CONTACT THE TEACHER.
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