Base Knowledge
N/A
Teaching Methodologies
The lectures will be of theoretical and practical nature, they will look for provoking and promoting in the pupils the participation and reflection about the mathematical concepts and processes. It can resort, if it is suitable, to the use of teaching and learnig contexts related to the primary cycle mathematics.
The methods will be various such as: exposition, discussion and critical analyses, offer of tasks. Colaborative pratices will be promoted.
The assessment in this CU will be performed by students in one of two ways:
a) Continuous assessment: one written test, quoted from 0 to 8 values (40%); a group work, quoted from 0 to 6 values (30%); participation in classroom tasks, quoted, in total, from 0 to 5 values (25%); individual reflection, quoted from 0 to 1 value (5%).
b) Assessment by exam.
Learning Results
1. To know, analyse and deep the specialized knowledge of the subject matter of the mathematics to teach in primary Cycle of Basic Teaching.
2. To develop reasoning processes used in teach of mathematics.
3. To know powerful mathematics ideas for the primary Cycle of Basic Teaching such as: place value, number sense, mental math, spatial sense, representations and data analysis.
Program
1. Number and number sense; place value, models for arithmetic, mental math and estimation.
2. Rational numbers and their different representations; different meanings of the fractions; equivalence of fractions; introction to decimals; percentages.
3. Addition, subtraction, multiplication and division of non-negative rational numbers.
4. Geometry and spatial sense: geometric figures and properties of geometric figures.
5. Measurement: length, area, volume, capacity, mass, time, money, angle. The metric system.
6. Visual and numeric patterns; discovery and generalization of patterns.
7. Data analysis.
8. Problems solving and problem posing.
Curricular Unit Teachers
Grading Methods
- - Individual reflection - 5.0%
- - Attendance and Participation - 25.0%
- - Frequency - 40.0%
- - Individual and/or Group Work - 30.0%
- - Exam - 100.0%
Internship(s)
NAO
Bibliography
1. Bennett, A., Burton, L., & Nelson, L. (2016). Mathematics for elementary teachers: A conceptual approach. McGraw-Hill
2. Clements, D. & Sarama, J. (2014). Learning and teaching early Math, learning trajectories approach. Routledge
3. Hansen, A. (2008). Children´s errors in Mathematics. Learning Matters
4. Manfield, H., Pateman, N. & Bednarz, N. (1996). Mathematics for tomorrow´s young children. Kluwer Academic Library
5. Kamii, C. (1999). Teaching fractions, fostering children´s own reasoning. Em Lee Stiff & Frances Curcio (Eds.), Developing mathematical reasoning in grades k-12, 82-92. NCTM
6. Liping M. (1999). Knowing and teaching elementary mathematics. Lawrence Erlbaum Associate, Publishers
7. Palhares, P., Gomes, A., & Amaral, E. (2011). Complementos de Matemática para Professores do Ensino Básico. Lidel.
8. Parker, T. H. & Baldridge, S. (2004). Elementary Mathematics for Teachers. Sefton-Ash Publis.
9. Wu, H. (2017). Compreender os Números na Matemática Escolar. Porto Editora