Mathematics III

In the CU of Mathematics III, students must have knowledge of the subjects taught in the subject of mathematics applied to social sciences or mathematics in primary and secondary education, in particular, in the domains of “Data Organization and Processing”.

The lessons will be theoretical/pratices, connecting several mathematical topics, giving to the student the oportunity to recognise the conections in Mathematics. Whenever appropriate, texts, concrete materials and digital platforms will be used to support the teaching and learning process. The evaluation of the students can be performed in one of the two following ways, according to the general ESEC rules:
a) Continuous assessment: realization of two written tests during the semester (valued 50%); a working
group (valued 25%); participation in classroom tasks (valued 20%); individual reflexion (5%).
b) Assessment by exam quoted from 0 to 20 values (100%).

By the end of the CU the student should be able to:
– understand the logic and purpose of statistical investigations;
– understand statistical processes;
– implement procedures for data collection, as well as its treatment, representation and interpretation;
– develop techniques and interpretation of statistical literacy in general;
– communicate statistically.

Purpose of Statistics. The statistical problem. Statistic Method. Sample. Sampling methods.
Descriptive Statistics – Measurement; types of scales, frequency distributions and graphical methods for summarizing data. Measurements of position (and other central tendency) and measures of dispersion.
Association variables. Spearman and Pearson correlation coefficients. Regression Analysis:
determining the equation of the regression line. Association of categorical variables.
Notions of Chance and Probability. Definitions of probability. Types of events. Sets and probability.
Laws of probability. Probability simple. Probability involving more than one event. Conditional probability. Independent events. Trees of probability. Normal probability distribution.

• - Attendance and Participation - 20.0%
• - Individual reflexion - 5.0%
• - Individual and/or Group Work - 25.0%
• - Two written tests - 50.0%

• - Exam - 100.0%

NAO

Barroso, M; Sampaio, E; Ramos, M (2003). Exercícios de estatística descritiva para as ciências sociais. Lisboa: Edições sílabo.
Garfield, J; Bem-Zvi, D (2008). Developing students' statistical reasoning: connecting research and teaching practice. New York: Springer
Huff, D. (2013) Como mentir com a estatística. Lisboa: Gradiva
Marôco, J. (2011). Análise Estatística com ultização do SPSS Statistics. Pero Pinheiro: ReportNumber.
Martins, M. E. e outros (2007). Análise de dados. Texto de apoio para professores do 1ºciclo. Lisboa: ME, DGIDC.
Martins, F. e outros (2017). Educação Pré-Escolar e Literacia Estatísticsa – A criança como investigadora. Viseu:Psicosoma.
O’Donoghue, P. (2012). Statistics for Sport and Exercise Studies. London: Toutledge.
Rees, D. (2001). Essential Statistics. London: Chapman & Hall.
Reis, E. (1997). Estatística Aplicada. Vols. I e II; Lisboa: Edições Sílabo.
Vincent, W.; Weir, J. (2012). Statistics in Kinesiology – 4th Edition. EUA: Human kinetics.