(School year 2019/2020)


1. Identification and allocation of the Curricular Unit

School

Escola de Ciências e Tecnologia

Department

Matemática

Course code

853

Course denomination

Lic. em Educação Básica

Curricular Unit code

12298

Curricular Unit denomination

Lógica e resolução de problemas


Teacher in charge

Name

Category

Ana Paula Florêncio Aires

Professor Auxiliar


Other teachers from Curricular Unit

Names

Categories

Ana Paula Florêncio Aires

Professor Auxiliar

Paulo José Martins Vasco

Professor Auxiliar



2. General information

Teaching load / contact hours / ECTS

Autonomous work (hours)

Distribution of contact hours

Total (hours)

ECTS

96.00


162

6.00


Schedule of classes

1º semestre:
T  turma 1
Tuesday at 09h00m with duration of 02h00m
TP  turma 1
Wednesday at 09h00m with duration of 02h00m


Hours to students attendance

Ana Paula Florêncio Aires  1º Semester 
Begin 
Duration 
Location 
From 
To 
Quinta, 11h00 
02h00 
Gab. F2.13 do Polo II da ECT 
01/10/2019 
18/01/2020 
Paulo José Martins Vasco  1º Semester 
Begin 
Duration 
Location 
From 
To 
Terça, 11h00 
01h30 
F1.18 (Pólo II ECT) 
23/09/2019 
14/02/2020 
Quinta, 16h00 
01h30 
F1.18 (Pólo II ECT) 
23/09/2019 
18/01/2020 



3. Objectives, syllabuses and teaching methods

Curricular Unit objectives and skills to develop (max. 1000 characters)

At the end of the course unit of Logic and Problem Solving students should be able to:
 Logically organize their mathematical thinking;
 Recognize the importance of problem solving in Basic Education;
 Understand problems in mathematical and non mathematical contexts;
 Solve mathematical problems using appropriate strategies;
 Understand the basic notions of Set Theory and of Mathematical Logic;
 Identify different types of binary relations.

Syllabus (max. 1000 characters)

1. Problem Solving: Significant features of the problem solving; approaches to problem solving: tipology of problems, models and strategies for problem solving.
2. Set Theory: Notion of set; Representation of sets; set operations and their properties;
3. Basic concepts of Logic: logic of propositions and their operations; logic of conditions and their operations; Quantifiers.
4. Binary relations: Equivalence relations; order relations.

Planning teaching activity (according to school Schedule)  (optional)

_

Demonstration of the Curricular Unit syllabus coherence with the intended learning outcomes (max. 1000 characters)

Problem Solving is seen in Basic Education as a fundamental mathematical ability, and it is essential that students acquire the skills to solve both mathematical problems and problems related to their everyday situations. In this context, students of Logic and Problem Solving, prospective teachers, must understand that a mathematical problem can be solved through different strategies and give attention to the analysis of its resolution and verification of solutions that are obtained. The students of basic education, as they learn to count and to acquire language skills are confronted with the need to group objects into sets, learning to classify these objects and differentiate them according to certain characteristics. In this context, the mathematical foundation for these attitudes focuses on Theories of Sets and Logic, whose domain is critical to the future teachers of basic education.

Teaching / learning methodologies used (working methods, Curricular Unit running, resources, etc..) (max. 1000 characters)

Theoretical classes will take place with the presentation by the teacher of the syllabus to be developed in the UC, always with the inclusion of practical examples and a consequent discussion in large group.
In TheoreticalPractical classes students solve diverse tasks with individual support to each student whenever necessary and clarification of doubts for the whole class.
The tutorial will help the student to clarify his doubts about the contents of the course or to fill in gaps in his prerequisites.

Demonstration of the consistency of teaching methodologies with the objectives of the Curricular Unit (max. 3000 characters)

During classes will be offered to students, future teachers, performing different kinds of tasks that include problem solving, supporting them in their realization. In addition to the tasks it will provide moments for comparison of results, discuss strategies and institutionalization of concepts and mathematical representations. Situations to offer students both a phase of exploration of a concept as the deepening and consolidation phase, involve mathematical and nonmathematical contexts and include other areas of knowledge and everyday contexts of students. Communication should also have a prominent place in the teaching practice of future teachers, and through oral discussion in class, students, future teachers, confront their problemsolving strategies and identify the arguments produced during problem solving. Develop the ability to solve problems and promote mathematical reasoning and communication, as well as being central learning objectives are also important methodological guidelines to structure the activities to be undertaken in the future classroom teacher. Thus, should be provided frequent situations, in which students can solve problems, analyze and reflect on their resolutions and the resolutions of colleagues. It also means you should be paying attention to students' reasoning regarding them, searching them with the explicit clarity, to examine and respond to colleagues' reasoning. Also by writing texts, students have the opportunity to clarify and elaborate in more detail their strategies and their arguments, developing your sensitivity to the importance of rigor in the use of mathematical language.

4. Evaluation Methodology

Assessment modes, need to register prior to testing and transition conditions between modes

Periodic and Continuous Assessment
During the semester students can perform: two written tests, lasting 1h30min, and rated for 20.
The student will obtain approval for UC if the arithmetic average of the written tests is greater than or equal to 9.5 and have a minimum of 5 values for each test.
Supplementary Assessment
Additional assessment may be held regularly enrolled students that subject to periodic evaluation, have not passed the UC and that comply with the provisions of subparagraph b) of paragraph 6 of Article 12. of the standards of Pedagogical Rules.
The additional assessment will consist of a written test, lasting 1h30min and rated for 20, regarding syllabus of the periodic assessment test with lower rank. The rating of this proof will replace the value of the respective test with lower ranking.
Evaluation by final examination:
May be subjected to examination of the regular season any student who has not passed on continuous assessment. May be subjected to an examination students who did not attend the final exam in the regular season, or if they have attended, have dropped out or failed
Evaluation by final examination consists of a written test containing all the contents.
Special Season
May be subject to special examination all students who meet the conditions set in paragraph 9 to 13 of Article 16. and Article 18 of the teaching standards in force.
It is noted that for any assessment, it is mandatory that students engaged in SIDE register for the test 48 hours before performing it.

Minimum criteria for admission to examination

According to Articles 12 (No. 6), 13 (No. 4), 17 (first paragraph) of pedagogical rules in place
(http://www.sa.utad.pt/images/normregul/2011/RegPedagogico.pdf), the student must be registered:
1) the Course Unit (CU);
2) in the side plataform, at every class of contact hours.

Description of evaluation methods, respecting the Article 13 of Chapter IV of UTAD's Pedagogical Regulation (including, scheduling and calculation method).

Mode 1: Continuous assessment, provided they have attended at least 70% of classes. Three tests, need prior entry in SIDE, both in class and for each of the tests, and obtaining a minimum of 5 values in each test. Approves at the UC if the arithmetic mean of the tests is not less than 9.5.
The first test takes place on November 20, 2019, and the second on January 15, 2020. Will not be allowed to use calculators.
The student must be enrolled in a Class T and also in a class TP and advance registration is required in SIDE. Improvement will not be allowed if the student passed in the current academic year in any of the previous modes. Will not be allowed to use calculator.
The student approves the Curricular Unit if he get a grade on the written test, not less than 9.5.
Not applicable.

5. Bibliography

Recommended

Title 
Author(s) 
Elementos de matemática para o Ensino Básico: Teoria de conjuntos, lógica e relações binárias. 2.ªEdição: Revista e aumentada. 
Aires, A. P., Campos, H., Catarino, P. 

Complementary

Title 
Author(s) 
Elementos de Matemática para professores do Ensino Básico 
Palhares, P. (Coord.) 
Lógica e Aritmética 
Oliveira, A. 
Complementos de Matemática para Professores do Ensino Básico 
Palhares, P., Gomes, A., & Amaral, E. (Coords.) 


Teacher in charge of the Curricular Unit:


Date

