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Mathematics Elements
Scholar Year: 2023/2024 - 2S
| Code: |
AF07 |
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Acronym: |
EM |
| Scientific Fields: |
Matemática |
Courses
| Acronym |
N. of students |
Study Plan |
Curricular year |
ECTS |
Contact hours |
Total Time |
| TSPSFC |
21 |
|
1º |
5,0 |
45 |
135,0 |
Teaching language
Portuguese
Intended learning outcomes (Knowledges, skills and competencies to be developed by the students)
- Understand, in a depth way, and mobilize concepts and procedures related with the fundamental themes of mathematics such as:
Geometry and Measurement
Number theory
Statistics and Probabilities
- Connect ideas, concepts and mathematical procedures
- Solve geometric problems, using models to spatial visualization and geometric knowledges of the shapes
- Use properly, concepts, tools and formulas to determine measurements, mobilizing knowledge about systems and measurement processes
- Solve numerical problems, mobilizing knowledge of numbers theory
- Know and apply, in a critical way, tools and statistical techniques in the resolution of the real problems
- Determine and use probabilities to model real situations and solve problems.
Syllabus
-Geometry and Measurement
Visualization And representation
Planning and building models
Representations of two and three dimensional
Calculation of volumes and areas
Geometric transformations
Isometries in the plane
Dilations and similarities
Numbers theory
Construction of the natural numbers (Axiomatic Peano)
Construction of integers, rational and real numbers from the natural numbers
real numbers
Definition and properties of the operations
-Statistics and Probabilities
Sampling Techniques
Analysis, representation and data reduction
sample characteristics: location and dispersion measures
Two-dimensional distributions
Linear regression
Definitions probability
Conditional probability
Normal probability model
Demonstration of the syllabus coherence with the UC intended learning outcomes
This course aims to understand, in depth, and mobilizing concepts and procedures relating to subjects of Geometry and Measurement, Number Theory and Statistics and Probability. The concepts will be addressed including numerous and varied experiences of problem solving. Is through of the problems solve that this curricular unit contributes to the development of the ability to think mathematically and for the understand and the deepen of different mathematical topics above mentioned.
Teaching methodologies
The work to be undertaken in this course will focus on the active participation of students in individual work and in group work, with the aim to develop the skills refered above. The sessions will be organized taking into account the reading, discussion and analysis of texts and the resolution and discussion of problems that allows to approach the contents of this curricular unit and carry out preparatory work for the design of a statistic investigation.
Demonstration of the teaching methodologies coherence with the curricular unit's intended learning outcomes
The active participation of students, individually or in groups, aims to contribute to the deepening of the themes of this curricular unit. The classroom sessions will focused on the problem solving and the production of the respective reports. With a view to understanding the statistical techniques in the reality problem solving, students will be involved in a statistical study around issues associated with the course of Family and Community Service, that includes various activities which are the phases of a statistical investigation.
Assessment methodologies and evidences
The evaluation will focus on the work developed throughout the course and will be a continuous process of retroactive regulation that will include moments of individual and group work and activities of written and oral expression.
The student is expected to: (a) participate in synchronous sessions using the Zoom-Colibri platform; (b) carry out the proposed activities; (c) execute the requested evaluation products, clearly and rigorously evidencing the knowledge acquired.
The evaluation will focus on the work developed throughout the UC. It will be taken into account: The timely realization of activities that include the resolution of tasks contained in worksheets made available to students in the moodle (15%), the realization of a statistical research project (40%) and a written test ( 45%).
Students who are unable to integrate into the continuous assessment system will take a final exam.
Attendance system
Given the specificity of the training and the high percentage of UC of technical training, student attendance is governed by a minimum of 75% of UC attendance, except for students with special status (Article 24 of the RFA).
Students with special status (Article 24 of the RFA) and who are unable to attend at least 75% of face-to-face sessions must inform teachers of this fact within the first 15 days of class.
Students who are unable to integrate the continuous assessment system will take a final exam.
Bibliography
Caraça, B. J. (1998). Conceitos fundamentais da Matemática. Lisboa: Gradiva.
Enzensberger, M. H. (2000). O diabo dos números. Porto: Edições ASA.
Graça Martins, M. E. & Cerveira, A. (1998). Introdução às probabilidades e estatística. Lisboa: Universidade Aberta.
Graça Martins, M. E., Loura, L. & Mendes, F. (2007). Análise de Dados. Lisboa: Editorial do Ministério da Educação.
Jacobs, H. (2003). Geometry. New York: W. H. Freeman and Company.
Murteira, B., Ribeiro, C. S., Silva, J. A. & Pimenta, C. (2010). Introdução à Estatística. Lisboa: Escolar Editora.
Palhares, P. (coord.) (2004). Elementos de Matemática. Lisboa: Lidel.
Veloso, E. (1998). Geometria: Temas actuais. Lisboa: Instituto de Inovação Educacional.
Veloso, E. (2012). Simetria e transformações geométricas. Lisboa: Associação de Professores de Matemática.
Sites:
http://alea-estp.ine.pt/
http://www.ine.pt/portal/
https://www.pordata.pt/
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