(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

12322

Curricular Unit denomination

Análise e tratamento de dados


Teacher in charge

Name

Category

Ana Paula Aires Borges Teixeira

Professor Auxiliar


Other teachers from Curricular Unit

Names

Categories

Maria Manuel da Silva Nascimento

Professor Auxiliar



2. General information

Teaching load / contact hours / ECTS

Autonomous work (hours)

Distribution of contact hours

Total (hours)

ECTS

102.00


162

6.00


Schedule of classes

1º semestre:
TP  turma 1
Monday at 14h00m with duration of 02h00m
Friday at 09h00m with duration of 02h00m


Hours to students attendance

Maria Manuel da Silva Nascimento  1º Semester 
Begin 
Duration 
Location 
From 
To 
Segunda, 16h00 
02h00 
F.2.16, Polo 2, ECT 
23/09/2019 
18/01/2020 
Sexta, 11h00 
01h45 
F.2.16, Polo 2, ECT 
23/09/2019 
18/01/2020 



3. Objectives, syllabuses and teaching methods

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

Provide students with the knowledge necessary for a good understanding and application of the fundamental concepts of Data Analysis, as indispensable tools in the decision in situations of uncertainty that arise in everyday life and have to be taught to children and therefore in the degree in Basic Education. In particular, students should be able to formalize and solve problems in contexts involving results of random experiments, to know the rules of probability, to know how to use and summarize the collected data, to analyze the existence of the linear relationship between 2 variables. Simple variance analysis and its applications will be introduced. Whenever possible, skills and dispositions related to critical thinking will be explicitly introduced.

Syllabus (max. 1000 characters)

1. Probability Theory (Revisions)
Basic notions
Probability Axiomatic
Probability theorems
Conditioned probability, total probability theorem and Bayes theorem
Independence of events
2. Onedimensional Descriptive Statistics: Population; sample; statistical variable;Types of statistical variables and scales, scale changes; descriptive and inferential
statistics; Parameter, statistics and estimate; Absolute and relative tables, graphs and frequencies; measures of central tendency, dispersion, and shape.
3. Bidimensional Descriptive Statistics: Simple linear regression; Pearson and Spearman ordinal linear correlation coefficients;

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

_

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

The syllabus of this course allows students to acquire theoretical and practical knowledge for the study of Data Analysis and its application in real and daily situations. UC reviews the main techniques and concepts of Onedimensional Descriptive Statistics (chap 2) and Twodimensional Descriptive Statistics (chap 3). The modeling of various random phenomena and the quantification of the uncertainty associated with them is addressed in the next few chapters through the study of probabilities (chap 1). Whenever possible, skills and availability related to critical thinking will be explicitly introduced.

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

Theoreticalpractical principles (TP) are prepared by the students during the theoreticalpractical classes with bibliographic support and students' study and developed in the classes through individual or group works in order to sensitize the students to the importance of both statistical methods and developing statistical reasoning. There are tasks that students can use in the future in their teaching practice. In TP classes students are also solved problems for consolidation of topics. In TP classes and tutorial followup will be developed 2 mini projects for students to contact with the practical application of statistical methods and probabilities. At the beginning of each semester, bibliography will be provided to support students' study and scientific autonomy. Whenever possible, skills and availability related to critical thinking will be explicitly introduced.

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

Theoretical and practical principles are developed during the lesson through a main manual provided to students to sensitize students to the importance of both statistical methods and the assumptions of their use, as well as the development of statistical reasoning. Concepts will be realized using classroomtoclassroom assignments  individually or in groups  problems (and from data collected by students as much as possible and from a questionnaire) and assignments and learning how to use the spreadsheet, applets or mobile phone apps. Other problems will be provided to perform autonomously.
At the beginning of each semester, a bibliographic list that supports the study of students and encourages their scientific autonomy.
The continuous evaluation of this course is based on the execution of 2 mini projects. Class assignments and tests are intended to guide students in solidifying the main theoreticalpractical topics of the topics addressed in order to prepare them for the stages of the 2 miniprojects. The idea of developing miniprojects throughout the semester is to involve students in a statistical investigation that will feel all the pros and cons and will in future have the knowledge to overcome the difficulties in probabilities and statistical studies in the field.
The structure of this course is designed so that students review onedimensional (chap 2) and twodimensional (chap 3) descriptive statistics in order to use them in their miniproject and acquire the fundamental notions of statistical methods  probabilities and their laws. (chap 1). The modeling of several random phenomena and the quantification of their uncertainty is addressed by studying the probabilities and its laws.
The methodologies adopted are expected to enable the student to develop autonomous and group work skills, as well as explicitly develop the skills and dispositions for the development of critical thinking.

4. Evaluation Methodology

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

Concerning the evaluation methodology of the course of Probability and Statistics, the students must meet the following items.
1. Enrollment in the course
The inscription on the theoreticalpractical class is mandatory and must be done in SIDE (Information System for Education Support) within:
(a) one week after the end of the registration period for students enrolling for the first time in the course;
(b) two weeks after the beginning of the semester for other students.
2. Registration in written assessment tests
To have access to any assessment test, the students should proceed to their registration in SIDE 36 hours ahead of schedule.
3. Assiduity
To have access to any written assessment test, the students must attend a minimum of 70 % of the contact lectures (theoretical and theoreticalpractical classes).
Students with special status that confers this right and the students who meet the criteria of attendance in this CU in the academic year 201819 are exempted from attending the classes in the present academic year if they only intend to be assessed by exam.
4. Modes of evaluation
The students can be assessed in the following ways:
Mode 1: continuous assessment;
Mode 2: continuous assessment then complementary assessment;
Mode 3: final assessment (by exam).
In the continuous assessment, students will be approved if they meet the criteria of attendance, if they get in each test a minimum grade of 7 (7 out of 20) and if they have a final grade (formula is presented below) greater than or equal to 9.5 (out of 20).
Students who fail the evaluation mode 1 and are admitted to mode 2 will have to make a new written test at the 1st period of examination, which will focus on the same contents of only one test in which the student had a grade below 9.5. The final grade of the curricular unit will be calculated using the same formula as in mode 1, being the result of the test with negative grade replaced by the new result.
5. In any of the modes of evaluation, the students who obtain a score not less than 18.5 (out of 20) and wish a final grade higher than 18, will have to validate their classification through a supplementary examination agreed with the teachers of the CU. The final grade is the grade of the additional test (or 18 points if the test score is less than 18).
6. Access to 2nd period of examination
The students not approved on the 1st period of examination meeting the minimum conditions of access to examination, may be evaluated in the 2nd period of examination. The registration in SIDE 36 hours ahead of schedule is mandatory.
The exam is a theoretical and practical written test, rated for 20 points, and lasting one hour and 30 minutes (one and a half hour, and a tolerance period of 30 minutes). All the syllabus contents explored in the classes are object of assessment.
7. Special period of examination
The students regularly enrolled in the UC and that meet the conditions described in the Pedagogical Regulation have access to the special (3rd) exam. To have access to the exam, the students need to enroll in the Academic Services, as well as in SIDE.
The exam is a theoretical and practical written test, rated for 20 points, and lasting one hour and 30 minutes (one and a half hour, and a tolerance period of 30 minutes). All the syllabus contents explored in the classes are object of assessment.
8. In any written examination,
(a) the students must have an identification document beyond the student card;
(b) it is not allowed to consult any notes and/or books;
(c) it is allowed to use a nonalphanumeric/nonprogrammable calculator;
(d) it is not allowed to use pencil or corrector pen in the answer sheet;
(e) the students may not leave the room in any case during the time of examination if not authorized by one of the watching exams’ teachers;
(f) a student who give up of the examination should declare it writing and signing it down on the answer sheet and can only leave the examination room after the express permission of the teacher in the room and not earlier than 30 minutes after its start;
(g) the students who arrive to the examination room until 30 minutes after its start are allowed to enter the room, however no additional time to complete the test is given;
(h) it is forbidden the communication between students that, directly or indirectly, may be used to obtain or collect information about the contents of the exam, not being allowed to use mobile phones or other communications or recording devices;
(i) fraud or plagiarism implies the annulment of the examination and can bring to the student a disciplinary action.

Minimum criteria for admission to examination

A minimum condition of admission to access the assessment and/or examination is to assist a minimum of 70% of the contact hours (theoreticalpractical and tutorial), except students with special statutes or students that satisfied the admission conditions in the academic year 2018/19.
The students that have not attended to a minimum of 70% of the contact hours will be considered excluded of this UC in the final of the current school year.

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

MODE 1
Final grade = NF = 20% * Written test 1 + 10% * MiniProjectProbability + 20% * Written test 2 + + 10% MiniProjectDescriptive Statistics + 20% * Written test 3+ 10% * Task during the class after test 3 + 10% * Questionnaires
Approval only if NF > = 9.5 (out of 20) and Written test 1 > = 7.0 and Written test 2 > = 7.0 and each MiniProject > = 7.0,
i. MiniProjects (in groups with a maximum of 3 students). All students will have to make an oral discussion during class of the final products. Each grade will be given grades 0 to 20. The MiniProjects of the group will be composed of several phases whose schedule will be indicated by the teachers during the semester. At the end, students must deliver 2 end products and its oral presentations during the classes is required by all members of the group, and the different elements of the group may be graded differently, depending on their individual performance. The CU teachers will give the final grade average to the group and the students will be responsible for its distribution by each of its elements. The minimum individual grade in this MiniProjects component is 7 out of 20.
ii. Three tests (individual), written and compulsory. The average of the two grades have a weight of 12,5% (first test) and 25% each written tests 2 and 3 in the final grade of this CU. Each test consists of a written theoreticalpractical test with maximum grade 20 with duration of 1 hour and 30 minutes, without consultation and students can use (any) calculator. Enrollment in SIDE is always mandatory until 36 hours before the test and the teacher provides all the tables. The minimum grade in each test is 7 (out of 20).
Dates for the tests:
1st test – 25th October 2019
2nd test – 22nd November2019
3rd test – 10th January 2020
iii. Each theoretical class questionnaire, online and compulsory, and the average of the grades has a weight of 10% (14 are foreseen and the grade is equally distributed by all that actually take place with a minimum of nine) in the final grade of this CU. Each online test will be of the contents during classes with duration of 5 to 7 minutes.
iv. Assignment in the last two classes after test 3 (in groups of up to 2 students) with peer review in the second class. To be held in classes for peer review in the second class of the week 1317 January 2020.
MODE 2
Students not approved in Mode 1 are admitted to Mode 2 of assessment (supplementary evaluation), if the combined weight of the evaluation elements for which the student failed to achieve the minimum grade referred to in MODE 1 does not exceed 50% of the CU final grade formula.
Students, who having been admitted to the supplementary evaluation did not appear or, having attended, have given up or failed, are admitted to examination at the time of appeal.
The supplementary test will last for 1 hour and 30 minutes + 30 minutes of tolerance (not to exceed 2 hours).
MODE 3
The assessment by exam (Mode 3) consists of a written theoreticalpractical test, on all syllabus explored in the classes, the test will last for 1 hour and 30 minutes + 30 minutes of tolerance (not to exceed 2 hours). The exam happens in all the three periods of examination. Students who have met the minimum criteria for access to the exam are admitted to Mode 3 of assessment.
All students who obtain a final score not less than 9.5 are approved. Students with a final grade in the range [8.5, 9.5[ may, if they wish, to undergo an oral examination. These students are approved if the average of the marks obtained in the written test and the oral test is not less than 9.5.
The students not approved in the 1st period of examination who meet the minimum conditions of access to examination, may undergo on the 2nd period of examination. To access this exam, the students should proceed to their registration in SIDE.
The students regularly enrolled in the UC and that meet the conditions described in the Pedagogical Regulation have access to the special exam. To have access to the exam, the students need to enroll in the Academic Services, as well as in SIDE.

5. Bibliography

Recommended

Title 
Author(s) 
Estatística Aplicada – Vol. 1 
Elizabeth Reis, Paulo Melo, Rosa Andrade e Teresa Calapez 
Análise de Dados, Texto de Apoio para os Professores do 1º Ciclo 
Martins, M. E. G, Loura, L.C.C., Mendes, M.F. 
Sentido de número e organização de dados 
Castro, J. P., Rodrigues, M. 

Complementary

Title 
Author(s) 
Estatística Descritiva 
Elizabeth Reis 
Exercícios de Estatística Aplicada  Vol. 1 
Elizabeth Reis, Paulo Melo, Rosa Andrade, Teresa Calapez 
Estatística Aplicada – Vol. 2 
Elizabeth Reis, Paulo Melo, Rosa Andrade e Teresa Calapez 


Teacher in charge of the Curricular Unit:


Date

