Overall objectives:

1 - To understand geometrical transformations using Geogebra.
2 - To operate with fractions using manipulatives.
3 - To understand the notion of angle, convex angles , concave angles, adjacents. Sum of angles.
4 - To understand and use methods of the history of mathematics to multiply and to divide.
5 - Understand and experience different methodologies in mathematics teaching, such as flipped classroom, project based learning, problem based learning, game based learning, gamification, pair programming, among others.

Syllabus:

1 - Geometric Transformations with Geogebra.
2 - Operations with fractions using manipulatives.
3 - Angles with manipulatives.
4 - Multiplication and division using the History of Mathematics.
5 - Different Teaching Methodologies.

Literature/Sources:

Fernandes, E. (Org.) , 2013 , Aprender Matemática e Informática com Robots , UMa
Caraça, B. J. , (s.d) , Conceitos fundamentais de Matemática , Lisboa: Fotogravura Nacional.
Kukulska-Hulme, A. et al. , 2024 , Innovating Pedagogy 2024: Open University Innovation Report 12 , Milton Keynes: The Open University
Monteiro, C. & Pinto, H. , 2012 , Sequência de Tarefas para o ensino e aprendizagem da multiplicação e da divisão de números racionais não negativos , Lisboa: APM
Prensky, M. , 2001 , Digital natives, digital immigrants ,
Santos, J. C. , 2014 , Números , Universidade do Porto
Veloso, E. , 2012 , Simetrias e Transformações Geométricas , Lisboa: APM
Veloso, E. , 2014 , Conexões da Geometria: A Recta Real , Lisboa: APM
Palhares, P. , 2004 , Elementos de Matemática para Professores do Ensino Básico , Lidel
Fernandes, D. , 1994 , Educação Matemática no 1.º Ciclo do Ensino Básico: aspectos inovadores , Porto Editora

Assesssment methods and criteria:

Classification Type: Quantitativa (0-20)

Evaluation Methodology:
The work methodology used in these classes is, in itself, a learning content. Thus, the methodological approach adopted in this course unit plays a dual role: on the one hand, it serves as the means through which the content is explored; on the other, it becomes itself an object of study and critical reflection by the students. Students experience and analyze the underlying principles of various active learning methodologies (flipped classroom, project-based learning, problem-based learning, game-based learning, gamification, pair programming), with classes organized to promote experiential, collaborative, and student-centered learning. Assessment will be continuous, without this meaning that students feel continually evaluated. On the one hand, it is intended to emphasize the formative aspect of assessment and, secondly, to integrate several installments of students at different times and for different problems in the curricular unit. The evaluation will be continuous; once feedback will always be given to the work done by the students, to promote learning. The evaluation instruments are: students? participation in classes (25%); a Report based on one of the proposed activities (25%) and a Final work (50%).