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Didactics of Mathematics in the 1st Cycle

Scholar Year: 2017/2018 - A

Code: MP1C20016    Acronym: DM1C
Scientific Fields: Prática de Ensino Supervisionada
Section/Department: Science and Technology

Courses

Acronym N. of students Study Plan Curricular year ECTS Contact hours Total Time
MPE1C 28 Study Plan 5,0 60 135,0

Teaching weeks: 30

Head

TeacherResponsability
Joana Maria Leitão BrocardoHead

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 2,00
Joana Brocardo   2,00

Teaching language

Portuguese

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

To know the didactics of mathematics’ basic conceptual tools to teach in primary educations (6 to 10).
To develop the ability to reflect on teachers' professional practice, analyzing teaching episodes and students’ written productions.
To develop autonomy and ability to work in cooperation with others, encouraging future teachers to assume a perspective of continuous professional development.

Syllabus

The teaching and learning of numbers and operations, algebraic thinking, geometry and measure and data analysis in primary education (6 to 10 years old).
-Concepts and mathematical ideas that support the development of each student;
- Key developmental phases;
- Organizing teaching from what each student knows and is able to do;
- Mathematical tasks: types, nature and articulation.
- Non-curricular and curricular materials that teachers can use and/or adapt;
- Analysis of intentionality, organization and relevance of different curriculum materials for primary educations
- Use of technology in the primary mathematics classroom.
- Analysis of intentionality, organization and relevance of digital software designed for learning mathematics in primary education


Demonstration of the syllabus coherence with the UC intended learning outcomes

This CU aims to develop the didactical mathematical knowledge of future primary teachers.
The syllabus focuses key issues of the didactics of the first cycle: learning of elementary mathematical topics, milestones of its evolution and curricular materials’ analysis - tasks, manipulative materials, interactive digital materials (applets and dynamic geometry software). Globally it focuses on the teaching and learning of the following mathematical topics: operations with rational numbers in its different representations; properties of plane and space figures; isometries, different measurement systems and measurement processes, development of algebraic thinking and representation and interpretation of data.

Teaching methodologies

The work to be developed will focus on active student participation, whether in individual or in group work, looking for the deepening of knowledge related to the Program topics. The activities to be developed will include: discussion of didactic texts; exploration and critical analysis of curriculum materials and exploration of applets and Dynamic Geometry software. The tutorial support, individual or group support, consists in the orientation of the student study, clarifying doubts and monitoring the preparation of the written works. The tutorial support can also be done at distance, through a collaborative platform (moodle).

Demonstration of the teaching methodologies coherence with the curricular unit's intended learning outcomes

Expected learning outcomes: a) adequate use of current curriculum guidelines for teaching mathematics, (b) mobilize fundamental concepts of mathematics education to delineate meaningful contexts for the learning of mathematics; (c) analyze texts and episodes studded in the CU and (d) adequate use of the acquired knowledge.
The activities to be developed include: (i) reading and discussion of articles focused on teaching and learning mathematics in 5th and 6th grades; (ii) exploration and critical analysis of mathematical tasks, (iii) exploration and critical analysis of manipulative materials for learning mathematics topics in primary education (iv) exploration of applets and Dynamic Geometry programs for learning mathematics topics and (v) adaptation of mathematical tasks and suggestions to explore them that reflect the official curriculum guidelines.

Assessment methodologies and evidences

The evaluation will focus on the work done and includes the following elements (and its weights): (i) class participation (15%); (ii) three written essays: one based on the analysis of clinical interviews (25%), another based on the introduction of a mathematical problem in the classroom (30 and another based on the introduction of a mathematical topic and the orchestration of the discussion (30%).

Alternatively, students can solve a final exam.

Attendance system

Students should attend, at least, 75% of the courses' sessions.

Bibliography

Boavida, A., Paiva, A., Cebola, G., Vale, I., & Pimentel, T. (2008). A Experiência Matemática no Ensino Básico. Lisboa: ME-DGIDC (https://comum.rcaap.pt/bitstream/10400.26/5566/1/A_experiencia_matematica_no_ens_basico.pdf)
Breda, A.; Serrazina, L.; Menezes, L.; Oliveira, P., Sousa, H. (2011). Geometria e medida no ensino básico.Lisboa: DGIDC; Lisboa (http://www.esev.ipv.pt/mat1ciclo/temas%20matematicos/070_Brochura_Geometria.pdf)
Brocardo, J., Delgado, C., & Mendes, F. (2010). Números e operações: 1.º ano. Lisboa: DGIDC.(http://area.dgidc.min-edu.pt/materiais_NPMEB/home.htm)
Brocardo, L. Serazina, & Isabel Rocha (Eds.). (2008). O sentido do número: Reflexões que entrecruzam práticas. Lisboa: Escolar Editora. (Disponível na biblioteca da ESE)
Chapin, S., O’Connor, C., & Anderson, N. (2003). Classroom discussions: Using math talk to help students learn, Grades 1-6. Sausalito, CA: Math Solutions Publications (Disponibilizado pela docente)
Graça Martins, E., Loura, L., Mendes, F. (2007). Análise de dados. Lisboa: ME (http://www.esev.ipv.pt/mat1ciclo/2008%202009/analise_dados.pdf)
Haylock, D. (2010). Mathematics explained for primary teachers. London: Sage. (disponível na biblioteca da ESE)
Mendes, F., Brocardo, J., Delgado, C., Gonçalves, F. (2010). Números e operações : 3º ano (http://area.dgidc.min-edu.pt/materiais_NPMEB/home.htm)
NCTM (2007). Princípios e Normas para a Matemática Escolar. Lisboa: APM e IIE (disponível na biblioteca da ESE)
Ponte, J. P., Brocardo, J., & Oliveira, H. (2003). Investigações matemáticas na sala de aula. Belo Horizonte: Autêntica (Disponível na biblioteca da ESE)
Ponte, J.; Branco, N. & Matos, A. (2009). Álgebra no ensino básico. Lisboa: DGIDC(http://repositorio.ul.pt/bitstream/10451/7105/1/Ponte-Branco-Matos%20%28Brochura_Algebra%29%20Set%202009.pdf)

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Página gerada em: 2024-03-28 às 16:48:57