First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Human and Social Sciences and Cultural Heritage
PRIMARY TEACHER EDUCATION
Course unit
BASIC MATHEMATICS EDUCATION 2 (Sede di Verona)
SUP3050724, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2015/16

Information on the course unit
Degree course 5 years single cycle degree in
PRIMARY TEACHER EDUCATION (Ord. 2011)
IA1870, Degree course structure A.Y. 2011/12, A.Y. 2017/18
Sf1202
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Degree course track Common track
Number of ECTS credits allocated 9.0
Type of assessment Mark
Course unit English denomination BASIC MATHEMATICS EDUCATION 2
Department of reference Department of Philosophy, Sociology, Education and Applied Psychology
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit CANNOT be attended under the option Single Course unit attendance
Optional Course unit The Course unit is available ONLY for students enrolled in PRIMARY TEACHER EDUCATION (Ord. 2011)

Lecturers
Teacher in charge ENRICO GREGORIO MAT/02

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses MAT/02 Algebra 2.0
Core courses MAT/03 Geometry 2.0
Core courses MAT/04 Complementary Mathematics 3.0
Core courses MAT/06 Probability and Mathematical Statistics 2.0

Mode of delivery (when and how)
Period First semester
Year 3rd Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Laboratory 1.0 16 9.0 No turn
Lecture 8.0 60 140.0 No turn

Calendar
Start of activities 02/10/2017
End of activities 19/01/2018

Examination board
Board From To Members of the board
5 2017/18 01/10/2017 30/11/2018 CIRAULO FRANCESCO (Presidente)
BONOTTO CINZIA (Membro Effettivo)
TANTURRI MARIA LETIZIA (Membro Effettivo)
4 2016/17 01/10/2016 30/11/2017 CIRAULO FRANCESCO (Presidente)
BONOTTO CINZIA (Membro Effettivo)
OSTI SUSI (Membro Effettivo)

Syllabus
Prerequisites: Knowledge of mathematics as learned in high school
Target skills and knowledge: Scuola dell'infanzia
At the end of the course students will:
– know the basic principles of the axiomatic conception of geometry
– have acquired familiarity with the main geometric figures (triangles, quadrilaterals, regular polygons)
– know the abstract concept of measure, not linked with the choice of a unit of measure such as the meter
– know the basics about area and know how to apply them for proving results such as Pythagoras' theorem
– know how to handle simple graphs
– know the concept of algorithm and recursion
– have familiarity with the basic of probability and the main tools of statistics (mean, median, mode and variance)

Scuola primaria
Al termine del corso lo studente dovrà:
– know the basic principles of the axiomatic conception of geometry
– have acquired familiarity with the main geometric figures (triangles, quadrilaterals, regular polygons)
– know the abstract concept of measure, not linked with the choice of a unit of measure such as the meter
– know the basics about area and know how to apply them for proving results such as Pythagoras' theorem
– know how to handle simple graphs
– know the concept of algorithm and recursion
– have familiarity with the basic of probability and the main tools of statistics (mean, median, mode and variance)

Applying knowledge and understanding
Scuola dell'infanzia
At the end of the course the future teachers will be able to propose to children learning paths in mathematics based upon modelization of natural behaviors (measure) or the heuristic exam of situations (probability) in order to start a reflection on the connection between counting and measuring.
Scuola primaria
At the end of the course the future teachers will be able to propose to children learning paths in mathematics based upon modelization of natural behaviors (measure) or the heuristic exam of situations (probability) in order to make them more rigorous; the will also guide children to getting through preconceptions.

Making judgements
Scuola dell'infanzia
At the end of the course students will have acquired a critical and analytical attitude that makes them able to put into discussion beliefs and spontaneous ideas.
Scuola primaria
At the end of the course students will have acquired a critical and analytical attitude that makes them able to put into discussion beliefs and spontaneous ideas.


Communication skills
Scuola dell'infanzia
At the end of the course students should be able to employ a language which is rigorous and suitable for mathematics.
Scuola primaria
At the end of the course students should be able to employ a language which is rigorous and suitable for mathematics.


Learning skills
Scuola dell'infanzia
At the end of the course students will be able to find in autonomy teaching material which is suitable and useful for building learning paths in mathematics.
Scuola primaria
At the end of the course students will be able to find in autonomy teaching material which is suitable and useful for building learning paths in mathematics.
Examination methods: Written exam on the presented material, including the description of a teaching project on an assigned topic
Assessment criteria: Correctness in the exercises
Completeness of the teaching project
Course unit contents: Shape and number.
Basic Euclidean geometry.
Lengths, areas and measure, Pythagoras' theorem and Pick's theorem.
Graphs.
Algorithms and recursion.
Elements of probability.
Elements of statistics.
Planned learning activities and teaching methods: Front lessons
Additional notes about suggested reading: Lecture notes
Textbooks (and optional supplementary readings)