Go to:
Logótipo
You are in:: Start > M4070
Site map
FC6 - Departamento de Ciência de Computadores FC5 - Edifício Central FC4 - Departamento de Biologia FC3 - Departamento de Física e Astronomia e Departamento GAOT FC2 - Departamento de Química e Bioquímica FC1 - Departamento de Matemática

Mathematics in Science and Art

Code: M4070     Acronym: M4070

Keywords
Classification Keyword
OFICIAL Mathematics

Instance: 2020/2021 - 2S Ícone do Moodle

Active? Yes
Responsible unit: Department of Mathematics
Course/CS Responsible: Master in Mathematics Teacher Education for Middle and Secondary Schools

Cycles of Study/Courses

Acronym No. of Students Study Plan Curricular Years Credits UCN Credits ECTS Contact hours Total Time
M:ENSM 9 Plano de Estudos M:ENSMAT_2015_2016 1 - 6 42 162

Teaching Staff - Responsibilities

Teacher Responsibility
Maria Helena Pinto da Rocha Mena de Matos
Maria Gabriela Faria Arala Chaves

Teaching - Hours

Theoretical and practical : 3,00
Type Teacher Classes Hour
Theoretical and practical Totals 1 3,00
Maria Gabriela Faria Arala Chaves 2,00
Maria Helena Pinto da Rocha Mena de Matos 1,00
Mais informaçõesLast updated on 2021-05-08.

Fields changed: Calculation formula of final grade, Componentes de Avaliação e Ocupação, Software de apoio à Unidade Curricular, Programa

Teaching language

Portuguese

Objectives

It is important that the school can provide opportunities for students to experience activities that achieve the multiple aspects of their lives. Interdisciplinary practices addressing various languages and areas of knowledge are particularly interesting. Besides contributing to the motivation of students, they allow them to integrate the various contents in a more global context. This course aims to provide students with contact with various connections between mathematics, science and art, so that they can then explore and apply them both in the school environment and in outreach activities.

This course is structured in various mathematical topics (see syllabus) that cover contents of the  math programs for the 3rd cycle of basic education and secondary education with an emphasis in the field Geometry and Measure. The aim is to work contents of that domain in an integrated way by addressing several applications to science and art.

 

Learning outcomes and competences

It is intended that students acquire and deepen the mathematical content in the syllabus, become familiar with interdisciplinary practices involving these contents and develop autonomy, critical thinking and creativity in the implementation of learning activities and dissemination.

Working method

Presencial

Program




  1. Review of fundamental results of synthetic Euclidean geometry (relating to triangles, circles, polygons, constructions with ruler and compass)

  2. The Golden Ratio: geometrical constructions, Fibonacci sequence, myths and facts about artistic manifestations of the golden ratio in Classical Antiquity, Hambidge’s dynamic symmetry, Le Modulor.Plane isometries.

  3. Symmetry: symmetry groups of plane figures, cyclic and dihedral groups, rosette frieze and wallpaper groups.

  4. Mathematics of sound and music.

  5. Representation of three dimensional space in two dimensions: linear perspective and maps.

  6. Fractal Geometry


Mandatory literature

Veloso Eduardo; Geometria. ISBN: 972-8353-26-X

Complementary Bibliography

Grunbaum Branko; Tilings and patterns. ISBN: 0-7167-1193-1
Herz-Fischler Roger; A mathematical history of the golden number. ISBN: 0-486-400007-7
Araújo Paulo Ventura; Curso de geometria. ISBN: 972-662-591-2
Sasho Kalajdzievski; Math and Art- An Introduction to Visual Mathematics. ISBN: 1-58488-913-7

Teaching methods and learning activities

Lectures accompanied by audiovisual material and conducting worksheets.

Software

GeCla - software produzido pela Associação Atractor (disponível em http://www.atractor.pt/soft.html)

Evaluation Type

Distributed evaluation without final exam

Assessment Components

designation Weight (%)
Trabalho escrito 45,00
Trabalho prático ou de projeto 55,00
Total: 100,00

Amount of time allocated to each course unit

designation Time (hours)
Elaboração de projeto 40,00
Estudo autónomo 80,00
Frequência das aulas 42,00
Total: 162,00

Eligibility for exams

No student can miss more than 25% of the scheduled classes (Regulation for the Assessment of Students, Clause 14).

Calculation formula of final grade

project: 55%

written work and worksheets: 45%

Examinations or Special Assignments

No special works.

Classification improvement

Not applicable.
Recommend this page Top
Copyright 1996-2024 © Faculdade de Ciências da Universidade do Porto  I Terms and Conditions  I Acessibility  I Index A-Z  I Guest Book
Page created on: 2024-04-24 at 10:35:22 | Acceptable Use Policy | Data Protection Policy | Complaint Portal