Mathematic topics

Scholar Year: 2021/2022 - 1S

Courses

Head Teacher Responsability Maria de Fátima Pista Calado Mendes Head

Weekly workload Hours/week T TP P PL L TC E OT OT/PL TPL O S Type of classes Lectures Type Teacher Classes Hours Contact hours Totals 1 1,50 Carla Guida Cardoso   1,53

Teaching language

Portuguese

Intended learning outcomes (Knowledges, skills and competencies to be developed by the students)

- Understand, thoroughly,and mobilizing concepts and procedures relating to the subjects of mathematics:
Geometry and Measurement; Organization and Data Analysis
- Solve geometric problems, using models to spatial visualization and knowledge of geometric shapes and three-dimensional bi, specifically using dynamic geometry environments
- Use adequately, concepts, tools and formulas to determine measurements, mobilizing depth knowledge about systems and measurement processes
- Know and apply critical tools and statistical techniques actually troubleshooter
- Interpret and critically analyze theoretical and empirical data to solve problems and make appropriate decisions using, where appropriate, technological resources

Syllabus

Geometry and Measurement
Visualization and representation
Planning and building models
Representations of two- and three-dimensional shapes
Calculation of volumes and areas
Perspectives and projections
Geometric transformations
Isometries in the plane
Delays and similarities
Geometric transformations in R3
Symmetry
Patterns and friezes
regular tessellations and Archimedean
Symmetry in polygons and polyhedra
Geometric problems
Organization and analysis of data
Sampling Techniques
Analysis, representation and data reduction
Sampling characteristics: location and dispersion measures
Bi-dimensional distributions
Linear regression
Data analysis problems

Demonstration of the syllabus coherence with the UC intended learning outcomes

This CU is aimed at in-depth understanding and mobilizing concepts and procedures relating to subjects Geometry and Measurement and Organization and Data Analysis. The concepts will be discussed to include numerous and varied experiences of problem solving, through which perspective the development of the ability to think mathematically and appreciates the understanding and deepening of comprehensive and specialized notions of different mathematical topics mentioned above.

Teaching methodologies

The work to be undertaken under this course will focus on the active participation of students in either individual work or group work, looking for the development of the skills mentioned above. In this sense, the sessions will be organized taking into account the reading, discussion and text analysis and discussion and resolution of problems which to manage the content referred above. It will be privileged the use of dynamic geometry tools to address the related contents to theme Geometry and Measurement.

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 themes of UC. Aimed at deepening of this understanding the work done in classroom sessions will focus on problem solving and on the production of the respective reports.

Assessment methodologies and evidences

The evaluation will assess the work carried out along the course and will be an ongoing process of retroactive regulation that will include moments of individual and group work and activities of written and oral expression.
Thus, these students, in addition to participating in at least 75% of classroom sessions, shall: (i) participate in the realization of proposed activities in class (30%), (ii) conduct an individual written test, whose contents relate to the Geometry and Measurement and Analysis and Data Organization (40%) (iii) realize a written work that involves solving a problem and the production of the corresponding written report (30%).
Students with special status (Article 24 of the RFA) and revealing impossibility of attend at least 75% of classroom sessions will deliver two reports relating to the resolution of two issues, each with a weighting of 15%.
Students who can not integrate into the system of continuous assessment will hold a final exam.

Attendance system

Considering the specificity of training and the high percentage of technical training at CU, the attendance of students is regulated in a minimum of 75% attendance at UC, except for students with special status (Article 24 of the RFA).

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.