Mathematics in Science and Art

Code:

M4070

Acronym:

M4070

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2022/2023 - 2S

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	22	Plano de Estudos M:ENSMAT_2015_2016	1	-	6	42	162

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

Mandatory literature

.; .

Complementary Bibliography

Araújo Paulo Ventura; Curso de geometria. ISBN: 972-662-591-2
Veloso Eduardo; Geometria. ISBN: 972-8353-26-X
Tapp, Kristopher; Symmetry - A Mathematical Exploration, Springer, 2012. ISBN: ISBN 978-1-4614-0298-5
John H. Conway; The symmetries of things. ISBN: 978-1-56881-220-5
David Wright; Mathematics and music. ISBN: 9780821848739
Dave Benson; Music: a mathematical offering
Sasho Kalajdzievski; Math and Art- An Introduction to Visual Mathematics. ISBN: 1-58488-913-7
Grunbaum Branko; Tilings and patterns. ISBN: 0-7167-1193-1

Teaching methods and learning activities

Lectures accompanied by audiovisual material and exercises
Presentation of topics by students.

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	40,00
Apresentação/discussão de um trabalho científico	15,00
Teste	45,00
Total:	100,00

Amount of time allocated to each course unit

designation	Time (hours)
Estudo autónomo	96,00
Frequência das aulas	42,00
Apresentação/discussão de um trabalho científico	4,00
Trabalho escrito	20,00
Total:	162,00

Eligibility for exams

No conditions.

Calculation formula of final grade

The final classification will be calculated as follows
Written test - 9 points (45%)
Written work on a topic of choice - 5 points (25%)
Oral presentation of the written work - 3 points (15%)
Written report on the work presented by one of the other students - 3 points (15%)

Classification improvement

Not applicable.