Fundamentals and applications of elementary mathematics

Objectives

1) Consolidate key concepts to the approach of mathematical topics of the programs and curriculum guidelines for Preschool and Primary Education;

2) Develop a positive attitude toward mathematics and the interest to rediscover relationships and mathematical facts;

3) Reflect on determining factors for the success of mathematics education, such as the importance of investing in the stringency of definitions and mathematical reasoning, in the knowledge of facts and procedures, in an appropriate transition from concrete to abstract, without skip steps, and in the development of mathematical communication and problem-solving strategies, among other aspects;

4) Apply mathematical tools in solving problematic situations within the student´s area of education;

5) Develop the ability to research, creativity and autonomy;

6) Experience teaching resources appropriate to teaching the topics under study.

Program

Information available soon.

Teaching Methodologies

Theoretical-Practical Classes and Tutorial Guidance Sessions.

The themes will be discussed and explored in detail through the resolution of problems and exercises, using resources appropriate to each situation. Individual papers in which each student will present a specific topics regarding Numbers and Operations/Organization and Data Processing and geometry and measurement. Group papers will be presented evidencing an analysis of the records applied to students of preschool education and to the manuals of the 1st Cycle of Primary Education, followed by debate and critical analysis, as well as group work on manipulated materials and their Applications.

The curricular unit will benefit from the use of the Moodle learning management platform available at the University of the Azores, thus enhancing the performance of asynchronous activities.

Bibliography

Aharoni, R. (2008). Aritmética para pais: um livro para adultos sobre a matemática das crianças. Gradiva.

Breda, A. et al. (2011). Geometria e Medida no Ensino Básico. ME-DGIDC.

Long, C. & DeTemple, D. (2006). Mathematical Reasoning for Elementary Teachers. Pearson Education.

Ma, L. (2008). Aprender e Ensinar Matemática Elementar. Gradiva.

Maia, J. S. (2009). Aprender… Matemática do Jardim-de-Infância à Escola. Porto Editora.

Migueis, M. & Azevedo, M. (2007). Educação Matemática na Infância: Abordagens e desafios. Edições Gailivro.

Palhares, P. (Coord.) (2004). Elementos de Matemática para Professores do Ensino Básico. Lidel–Edições Técnicas.

Palhares, P., Gomes, A. & Amaral, E. (Coord.) (2011). Complementos de Matemática para Professores do Ensino Básico. Lidel–Edições Técnicas.

Pimentel, T. et al. (2010). Matemática nos Primeiros Anos. Texto Editora.

Ponte, J. P. et al. (2009). Álgebra no Ensino Básico. MEC.