Università degli Studi di Urbino Carlo Bo / Portale Web di Ateneo


MATHEMATICAL LOGIC
LOGICA MATEMATICA

A.Y. Credits
2018/2019 8
Lecturer Email Office hours for students
Giovanna Marani Tuesday and Wednesday Palazzo Albani internship placement by appointment

Assigned to the Degree Course

Education Sciences for Nursery and Primary School (LM-85bis)
Curriculum: PERCORSO COMUNE
Giorno Orario Aula
Giorno Orario Aula

Learning Objectives

The course aims at providing the basic principles and logical structures underlying investigation as a process of action in research. In this context, there will be particularly the usage of theoretical knowledge coming from Dewey’s logic for methodological competences learning related to action research project elaboration. Action-research as a permanent reflective practice model represents a formative element leading to practice the teaching as profession.

Moreover, the course aims at outlining the educational and operational paths on to the objectives of logic and mathematics prospected by the national guidelines for the nursery and primary school curriculum.

 In particular  the course is aimed at knowledge and understanding of:

-  The basic elements of action-research

-  The Distinctive peculiarities and limits of the context operational research 

-  The main features of Dewey’s research

-  The Value of reflection in action-research

-  The Set concept and its employment in logical and mathematical fields in nursery and primary school

Program

1.  Action research epistemology

1.  Dewey’s logic as investigation theory

2.  Investigation structure as a dynamic and experimental procedure

3.  Dewey’s logic as epistemological and methodological framework of action research

4.  The inductive and deductive processes in the investigation

5.  Research as interaction between recognition and transformation

6.  The relation between theory and practice in research

7.  Reflectivity as a fundamental practice in the path of action-research

2 Some elements of logic

1.  The logic of statements

2.  The connectives

3.  The logic of predicates

4.  The simple set theory

5.  Reports

Learning Achievements (Dublin Descriptors)

In relation to the teaching , students must demonstrate :

1.   KNOWLWDGE AND UNDERSTANDING .

In particular:

-          Knowledge of main lines of the epistemological debate in the context operative research area with   particular reference to its constitutive components;

-  Knowledge of Dewey’ s research;

-  Mastery of basic knowledge of the set theory with particular regard to the aspects which are most related to their use in the didactic-disciplinary approach.

2.              APPLYING KNOWLEDGE AND UNDERSTANDING

-  Knowledge and understanding of the theoretical and methodological basic principles of action-research according to Dewney’s perspective;

-  Knowledge of the epistemological and procedural framework of action- research ;

-          Ability to recognize peculiarities and issues  of action-research in the field of pedagogy research;

-  Ability to examine the use of action research in the field of school education ;

-  Ability to recognize the employment of set theory  in logical and mathematical education paths.

3.         MAKING JUDMENTS

-  Ability to detect action-research as a fundamental research methodology in educational field;

-  Ability to think of possible action-research paths ;

-  Ability to employ the set theory to speculate on methodological and didactic paths.

4.         COMMUNICATION SKILLS

-  Ability to communicate the acquired learnings using the proper language;

-  Ability to discuss and explain the suggested methodological and didactic paths.

5.   LEARNING SKILLS

-  Ability to analyse and critically assess, in its fundamental methodological features, the action research as research practice  usable in education;

-  Ability to use knowledge and concepts to think  and autonomously suggest possible didactic and operative paths - research to solve logical and mathematical issues

-   Ability to use the set theory knowledge to solve logical and mathematical issues.

Teaching Material

The teaching material prepared by the lecturer in addition to recommended textbooks (such as for instance slides, lecture notes, exercises, bibliography) and communications from the lecturer specific to the course can be found inside the Moodle platform › blended.uniurb.it

Supporting Activities

Some educational support lessons held by the teacher and/or a subject expert  and concerning the practical use of the introduced theoretical concepts are planned.


Didactics, Attendance, Course Books and Assessment

Didactics

Frontal lessons (lectures), practical exercises and some laboratory activities.

Course books
  • Marani G., La ricerca-azione. Una prospettiva deweyana, Franco Angeli, Milano 2013. (pagine 185)
  • Lanciotti C., Marazzani I., Logica,  Carocci, Roma, 2004. ( pagine 112)

Other material will be indicated during the lessons and / or made available in digital form.

In-depth texts

Giovannoni L.,Lingua e Logica, Franco Angeli, Milano,1986

Varga T.,Fondamenti di logica per insegnanti,Bollati Boringhieri,Torino,1973

Assessment

 The envisaged objectives will be tested by two kinds of tests. Both will aim at verifying the knowledge on the theory of action research from Dewey’s point of view  and its constituent elements, as well as the key elements of the set theory introduced by the course.

1.An optional formative assessment test (self-assessment) will be carried out at the end of the course. It consists of a written exam composed of 4 open- answer questions. Students will have 1 hour to answer to them.

 2.  An oral interview .

The formative assessment (for which students got at least 18/30) can be considered at the choice of students applicable to pass the examination. In case student’s choice were not to benefit from this, they will be interviewed.

For both tests , the assessment criteria are the following:

1.   Appropriateness of answers to the questions in relation to the program contents

2.  Articulation and answer argumentation level 

3.  Appropriateness of the language

The final assessment will be expressed in thirties

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