Scienze della Formazione Primaria | BASIC MATHEMATICS AND MATHEMATICS EDUCATION

cod. 4461000050

BASIC MATHEMATICS AND MATHEMATICS EDUCATION

	4461000050
	DIPARTIMENTO DI SCIENZE UMANE, FILOSOFICHE E DELLA FORMAZIONE
	EQF7
	PRIMARY TEACHER EDUCATION
	2021/2022

PERCORSO SHARED STUDY PATHWAY

	OBBLIGATORIO
	YEAR OF COURSE 2
	YEAR OF DIDACTIC SYSTEM 2016
	FULL ACADEMIC YEAR

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
1	MATEMATICA DI BASE
	MAT/04	6	36	LESSONS	COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS
2	DIDATTICA DELLA MATEMATICA
	MAT/04	6	36	LESSONS	COMPULSORY SUBJECTS, CHARACTERISTIC OF THE CLASS

PROFESSORS

	GEMMA CAROTENUTO1 T Curriculum
	CRISTINA COPPOLA2 Curriculum

	Objectives
	THE COURSE, DIVIDED INTO TWO MODULES, AIMS TO PROVIDE PARTICIPANTS WITH THE DISCIPLINARY SKILLS AND TEACHING TOOLS NECESSARY TO DESIGN AND MANAGE A SIGNIFICANT MATHEMATICAL TEACHING, BOTH IN KINDERGARTEN AND PRIMARY SCHOOL. IN ACCORDANCE WITH NATIONAL AND INTERNATIONAL GUIDELINES, THE COURSE AIMS TO DEVELOP - BY EXAMPLE - A VISION OF MATHEMATICS AND ITS TEACHING CHARACTERIZED BY THE COGNITIVE PROCESSES OF PROBLEM SOLVING, COMMUNICATION AND ARGUMENTATION, GENERALIZATION, VISUALIZATION AND CLASSIFICATION. KNOWLEDGE AND UNDERSTANDING: IN LINE WITH THE OBJECTIVES OF THE COURSE, BOTH MODULES AIM TO: - DEVELOP KNOWLEDGE AND SKILLS IN THE DIFFERENT AREAS OF BASIC MATHEMATICS (NUMBERS, SPACE AND FIGURES, RELATIONSHIPS AND FUNCTIONS, DATA AND FORECASTS), BY ASSUMING AN HIGHER POINT OF VIEW; - DEVELOP KNOWLEDGE AND COMPREHENSION SKILLS IN THE MAIN RESEARCH AREAS OF MATHEMATICS EDUCATION (DIFFICULTIES IN MATHEMATICS TEACHING-LEARNING, USE OF ARTIFACTS IN LABORATORY ACTIVITIES, INVOLVEMENT OF THE BODY, SEMIOTIC REPRESENTATIONS, ETC.). APPLYING KNOWLEDGE AND UNDERSTANDING: IN LINE WITH THE OBJECTIVES OF THE COURSE, BOTH MODULES AIM TO PROVIDE DISCIPLINARY RESOURCES AND TEACHING TOOLS USEFUL FOR PLANNING AND MANAGING EFFECTIVE AND MEANINGFUL MATHEMATICAL ACTIVITIES, AND FOR UNDERSTANDING AND FACING THE MAIN PROBLEMS OF MATHEMATICS TEACHING AND LEARNING.

THE COURSE, DIVIDED INTO TWO MODULES, AIMS TO PROVIDE PARTICIPANTS WITH THE DISCIPLINARY SKILLS AND TEACHING TOOLS NECESSARY TO DESIGN AND MANAGE A SIGNIFICANT MATHEMATICAL TEACHING, BOTH IN KINDERGARTEN AND PRIMARY SCHOOL. IN ACCORDANCE WITH NATIONAL AND INTERNATIONAL GUIDELINES, THE COURSE AIMS TO DEVELOP - BY EXAMPLE - A VISION OF MATHEMATICS AND ITS TEACHING CHARACTERIZED BY THE COGNITIVE PROCESSES OF PROBLEM SOLVING, COMMUNICATION AND ARGUMENTATION, GENERALIZATION, VISUALIZATION AND CLASSIFICATION.

KNOWLEDGE AND UNDERSTANDING:
IN LINE WITH THE OBJECTIVES OF THE COURSE, BOTH MODULES AIM TO:
- DEVELOP KNOWLEDGE AND SKILLS IN THE DIFFERENT AREAS OF BASIC MATHEMATICS (NUMBERS, SPACE AND FIGURES, RELATIONSHIPS AND FUNCTIONS, DATA AND FORECASTS), BY ASSUMING AN HIGHER POINT OF VIEW;
- DEVELOP KNOWLEDGE AND COMPREHENSION SKILLS IN THE MAIN RESEARCH AREAS OF MATHEMATICS EDUCATION (DIFFICULTIES IN MATHEMATICS TEACHING-LEARNING, USE OF ARTIFACTS IN LABORATORY ACTIVITIES, INVOLVEMENT OF THE BODY, SEMIOTIC REPRESENTATIONS, ETC.).

APPLYING KNOWLEDGE AND UNDERSTANDING:
IN LINE WITH THE OBJECTIVES OF THE COURSE, BOTH MODULES AIM TO PROVIDE DISCIPLINARY RESOURCES AND TEACHING TOOLS USEFUL FOR PLANNING AND MANAGING EFFECTIVE AND MEANINGFUL MATHEMATICAL ACTIVITIES, AND FOR UNDERSTANDING AND FACING THE MAIN PROBLEMS OF MATHEMATICS TEACHING AND LEARNING.

	Prerequisites
	NONE

	Contents
	SOLIDS. PASSAGES FROM THE PLANE TO THE SPACE AND VICE VERSA. KÖNIGSBERG SEVEN BRIDGES PROBLEM. SENSOUS COGNITION AND LINES. ANGLES. POLYGONS. MEASUREMENT AND SURFACE MEASUREMENT OF SURFACES. SPACE AND FIGURES: EPISTEMOLOGICAL AND DIDACTIC ASPECTS. THE NUMBER. THE ADDITIVE STRUCTURE. FIGURAL EQUATION AND CHINESE PROBLEMS WITH VARIATION. THE MULTIPLICATIVE STRUCTURE. HOLISTIC APPROACH TO ARITHMETIC STRUCTURES AND EARLY ALGEBRAIC THINKING. WRITING THE NUMBER. THE SET OF RATIONAL NUMBERS AND OTHER NUMERIC SETS. PROBLEMS WITH FRACTIONS AND SINGAPORE BAR MODEL. CULTURAL TRANSPOSITION. WHAT IS MATHEMATICS EDUCATION? THE EDUCATIONAL SYSTEM. INFLUENCE OF THE VISION OF MATHEMATICS ON EDUCATIONAL CHOICES. NORMATIVE REFERENCES, NATIONAL INDICATIONS FOR THE FIRST CYCLE OF EDUCATION. INCLUSION IN SCHOOL: EDUCATIONAL STRATEGIES. ATTITUDE TOWARDS MATHEMATICS: VISION OF MATHEMATICS, SENSE OF SELF-EFFICACY, EMOTIONS TOWARDS MATHEMATICS. THE MATHEMATICS LABORATORY AS A METHODOLOGY. MULTIMODALITY. SEMIOTIC MEDIATION THEORY, DIDACTIC CYCLE AND MATHEMATICAL DISCUSSION. THE DIDACTIC CONTRACT. PROBLEM SOLVING RESEARCH. WORD PROBLEMS: OBSTACLES TO UNDERSTANDING THE TEXT. NARRATIVE PROBLEMS. SETS: REPRESENTATIONS AND OPERATIONS BETWEEN SETS. RELATIONSHIPS AND PROPERTIES. FUNCTIONS.

Contents

SOLIDS. PASSAGES FROM THE PLANE TO THE SPACE AND VICE VERSA. KÖNIGSBERG SEVEN BRIDGES PROBLEM. SENSOUS COGNITION AND LINES. ANGLES. POLYGONS. MEASUREMENT AND SURFACE MEASUREMENT OF SURFACES. SPACE AND FIGURES: EPISTEMOLOGICAL AND DIDACTIC ASPECTS.
THE NUMBER. THE ADDITIVE STRUCTURE. FIGURAL EQUATION AND CHINESE PROBLEMS WITH VARIATION. THE MULTIPLICATIVE STRUCTURE. HOLISTIC APPROACH TO ARITHMETIC STRUCTURES AND EARLY ALGEBRAIC THINKING.
WRITING THE NUMBER. THE SET OF RATIONAL NUMBERS AND OTHER NUMERIC SETS. PROBLEMS WITH FRACTIONS AND SINGAPORE BAR MODEL. CULTURAL TRANSPOSITION.

WHAT IS MATHEMATICS EDUCATION? THE EDUCATIONAL SYSTEM. INFLUENCE OF THE VISION OF MATHEMATICS ON EDUCATIONAL CHOICES. NORMATIVE REFERENCES, NATIONAL INDICATIONS FOR THE FIRST CYCLE OF EDUCATION.
INCLUSION IN SCHOOL: EDUCATIONAL STRATEGIES. ATTITUDE TOWARDS MATHEMATICS: VISION OF MATHEMATICS, SENSE OF SELF-EFFICACY, EMOTIONS TOWARDS MATHEMATICS. THE MATHEMATICS LABORATORY AS A METHODOLOGY. MULTIMODALITY.
SEMIOTIC MEDIATION THEORY, DIDACTIC CYCLE AND MATHEMATICAL DISCUSSION.
THE DIDACTIC CONTRACT.
PROBLEM SOLVING RESEARCH. WORD PROBLEMS: OBSTACLES TO UNDERSTANDING THE TEXT. NARRATIVE PROBLEMS.
SETS: REPRESENTATIONS AND OPERATIONS BETWEEN SETS.
RELATIONSHIPS AND PROPERTIES. FUNCTIONS.

	Teaching Methods
	LABORATORY INDIVIDUAL AND GROUP ACTIVITIES, BOTH IN PRESENCE AND IN BLENDED E-LEARNING MODALITIES, MATHEMATICAL DISCUSSION, INTERACTIVE LECTURES BY THE USE OF MULTIMEDIA TOOLS, READING AND DISCUSSION ABOUT RESEARCH ISSUES, EVENTUALLY IN FLIPPED CLASSROOM MODALITY.

	Verification of learning
	THE ASSESSMENT WILL BE CARRIED OUT BY MEANS OF WRITTEN AND ORAL EXAMINATIONS. THE WRITTEN EXAMINATION IS PRELIMINARY TO THE ORAL INTERVIEW. IT IS POSSIBLE ACCEPT THE VOTE OF WRITTEN EXAMINATION, WITHOUT HOLDING THE ORAL INTERVIEW. THROUGH BOTH THE EXAMINATIONS, IT WILL BE EVALUATED: KNOWLEDGE OF CONTENTS AND DEVELOPMENT OF ABILITIES IN THE MATHEMATICAL FIELD; KNOWLEDGE OF THE EDUCATIONAL THEORIES FACED DURING THE COURSE, CAPABILITY TO CLAERALY AND CRITICALLY EXPOSE THEM AND TO CONTEXTUALISE THEM IN THE FIELD OF MATHEMATICS TEACHING PRACTISE.

Verification of learning

THE ASSESSMENT WILL BE CARRIED OUT BY MEANS OF WRITTEN AND ORAL EXAMINATIONS.
THE WRITTEN EXAMINATION IS PRELIMINARY TO THE ORAL INTERVIEW. IT IS POSSIBLE ACCEPT THE VOTE OF WRITTEN EXAMINATION, WITHOUT HOLDING THE ORAL INTERVIEW.
THROUGH BOTH THE EXAMINATIONS, IT WILL BE EVALUATED: KNOWLEDGE OF CONTENTS AND DEVELOPMENT OF ABILITIES IN THE MATHEMATICAL FIELD; KNOWLEDGE OF THE EDUCATIONAL THEORIES FACED DURING THE COURSE, CAPABILITY TO CLAERALY AND CRITICALLY EXPOSE THEM AND TO CONTEXTUALISE THEM IN THE FIELD OF MATHEMATICS TEACHING PRACTISE.

	Texts
	INSEGNARE E APPRENDERE MATEMATICA NELLA SCUOLA DELL'INFANZIA E PRIMARIA AUTRICI: CRISTINA SABENA, FRANCA FERRI, FRANCESCA MARTIGNONE EDITORE: MONDADORI UNIVERSITÀ MATEMATICA DI BASE. PER INSEGNARE NELLA SCUOLA PRIMARIA AUTRICI: MARTHA ISABEL FANDINO PINILLA, SILVIA SBARAGLI EDITORE: PITAGORA EDITRICE BOLOGNA I PROBLEMI DI MATEMATICA. DIFFICOLTÀ DI COMPRENSIONE E FORMULAZIONE DEL TESTO AUTRICE: ROSETTA ZAN EDITORE: CAROCCI FABER RECOMMENDED TEXTS: PROBLEMI AL CENTRO. MATEMATICA SENZA PAURA AUTORI: ROSETTA ZAN, PIETRO DI MARTINO EDITORE: GIUNTI SCUOLA PROBLEMI PER CRESCERE. MATEMATICA SENZA PAURA AUTORI: ROSETTA ZAN, PIETRO DI MARTINO (A CURA DI) EDITORE: GIUNTI SCUOLA

Texts

INSEGNARE E APPRENDERE MATEMATICA NELLA SCUOLA DELL'INFANZIA E PRIMARIA
AUTRICI: CRISTINA SABENA, FRANCA FERRI, FRANCESCA MARTIGNONE
EDITORE: MONDADORI UNIVERSITÀ

MATEMATICA DI BASE. PER INSEGNARE NELLA SCUOLA PRIMARIA
AUTRICI: MARTHA ISABEL FANDINO PINILLA, SILVIA SBARAGLI
EDITORE: PITAGORA EDITRICE BOLOGNA

I PROBLEMI DI MATEMATICA.
DIFFICOLTÀ DI COMPRENSIONE E FORMULAZIONE DEL TESTO
AUTRICE: ROSETTA ZAN
EDITORE: CAROCCI FABER

RECOMMENDED TEXTS:
PROBLEMI AL CENTRO. MATEMATICA SENZA PAURA
AUTORI: ROSETTA ZAN, PIETRO DI MARTINO
EDITORE: GIUNTI SCUOLA

PROBLEMI PER CRESCERE. MATEMATICA SENZA PAURA
AUTORI: ROSETTA ZAN, PIETRO DI MARTINO (A CURA DI)
EDITORE: GIUNTI SCUOLA

	More Information
	THE UNIVERSITY’S MOODLE PLATFORM WILL BE USED FOR THE COURSE MATERIAL AND FOR CARRYING OUT THE PROPOSED ACTIVITIES. FOR FURTHER INFORMATION, PLEASE CONTACT THE TEACHER.

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