OVERVIEW

The course of Mathematics Education is the last course devoted to mathematics and its teaching and learning. Through its content (competencies regarding argumentation) it allows to revise some important contents of previous courses in the perspective of planning the teaching of mathematics

AIMS AND CONTENT

LEARNING OUTCOMES

Critical knowledge of the national Guidelines for grades K-5, with soecific reference to the content of the courses of Mathematics 1 and 2; teaching competence concerning argumentation in mathematical activities.

AIMS AND LEARNING OUTCOMES

With reference to the “Goals for the development of competencies” of the National Guidelines for Curricula in mother school and in primary school, the course aims at the development of competencies that are crucial for basic enculturation in Mathematics, for further studies and for citizenship, by selecting objectives that are suggested by the main teachers’ planning and students’ learning  difficulties identified in the school. The development of students’ argumentative competencies will  be the main thread of the course; such competencies will be connected to the students’ operational and reflective mastery of basic mathematics contents already dealt with in previous course (see Program).

PREREQUISITES

The contents of the courses

• MATEMATICA I 67638
• MATEMATICA 2 67666

TEACHING METHODS

By continuity with previous courses, the lectures will include individual students’ work on worksheets (other worksheets will be filled at home), classroom  discussions (guided by the teacher) on students’ productions,  and teacher’s explanations.

Students will be requested to produce (in groups) detailed field notes on classroom activities; those field notes will be revised by the teacher and finally will be the reference for students’ homework and their preparation to the final evaluation.

SYLLABUS/CONTENT

Argumentation: Toulmin’s model to characterize it; Toulmin’s model as a tool for task design and for the analysis of students’ argumentative productions.  In such a perspective argumentation will be connected to the development of students’ operational and reflective competencies on the following contents:

- numbers and digits (particularly as concerns the decimal-position number representation system)

- properties in the set of natural numbers and arithmetic operations (multiples and sub-multiples, prime numbers, etc.): examples and counter-examples, general properties

- key geometry concepts (angle, parallelism, perpendicularity, length and surface measures) and key elementary probability concepts.

During the course peculiar attention will be addressed to the synergy between the development of argumentative competencies in mathematics and in other disciplines (sciences, grammar).

RECOMMENDED READING/BIBLIOGRAPHY

The worksheets of the course (which also provide elements of theory) and the field notes revised by the teacher are the basic references for students.

According to their interests further texts and websites will be suggested.

TEACHERS AND EXAM BOARD

Exam Board

PAOLO BOERO (President)

FRANCESCA MORSELLI

LESSONS

LESSONS START

On September, 24 at 4 p.m.

Class schedule

MATH DIDACTICS

EXAMS

EXAM DESCRIPTION

The exam will be based on the final individual report that will include the self-correction of the personal worksheets filled during the lectures and at home, and a final synthesis & account of the personal learning trajectory. An individual written 2-hours assessment test (related to the self-correction of the personal worksheets) will conclude the exam.

Assessment criteria

The final individul report will be compared with the filled worksheets and with the final individual assessment test.

ASSESSMENT METHODS

Assessment criterium: The final individul report will be compared with the filled worksheets and with the final individual assessment test.

Exam schedule

FURTHER INFORMATION

For students who will not attend at least 16 hours of lectures out of 24 a tutored learning program is offered, with a final written 4-hours exam on the whole program of the course. Students should contact the teacher at the address boero@dima.unige.it