Mosaics

Mosaics

Abstract
Throughout history the combination of mathematics and arts has led to the development of remarkable masterpieces. These masterpieces often serve as important ceremonial and religious artefacts, which reflect the uniqueness of the civilisation of origin. This activity focusses on mosaics and the role of geometry in art. Students are often unaware of the relation of mathematics to history, art, religion and culture. By studying and designing mosaics students get a more interdisciplinary view of mathematics which transcends the typical subjects taught in schools. Furthermore, mosaics provide a visual and tangible context for students to study transformation geometry, including translation, rotation, and reflection.

Copyright/Creative Commons

Materials are published under the
CC BY-NC-SA 4.0 license.

Lesson activities

Using examples of mosaics provided by your teacher identify the unit-shape of each pattern (this is the unit that is repeated in the pattern).
Explore which types of transformations can be identified. Try to describe them using accurate mathematical terminology.
Design your own mosaic by starting with a unit shape and applying multiple transformations. Use colours to emphasize the geometrical properties and to improve its aesthetics.
Describe the geometry in your mosaic in a poster. Make sure to describe the unit-shape, the relevant transformations and the process you went through. Walk around and view each other's posters.
Group the day's mosaics according to types and combinations of geometrical transformations that are used. Make sure to represent both the mosaics provided by the teacher and the mosaics designed by your classmates.

Curriculum content
- Transformations
- Geometry
- Mathematical terminology

Discipline
- Mathematics ✓
- Biology
- Physics
- Chemistry
- Engineering

Target group
- Primary Education
- Lower Secondary Education ✓
- Upper Secondary Education

Age range
11-15

Duration
50 min.

Documents

Papageorgiou, Eleni & Xenofontos, Constantinos. (2018). Discovering geometrical transformations in the ancient mosaics of Cyprus: An instructional approach to Grade 6. Australian Mathematics Teacher. 74. 34-40.
Lesson characteristics

Credits
CY

Eleni Papageorgiou and Cleo Hadjisimou

Colofon

Het arrangement Mosaics is gemaakt met Wikiwijs van Kennisnet. Wikiwijs is hét onderwijsplatform waar je leermiddelen zoekt, maakt en deelt.

Auteur: Freudenthal Instituut
Laatst gewijzigd: 2024-11-14 11:32:26
Licentie: Dit lesmateriaal is gepubliceerd onder de Creative Commons Naamsvermelding 4.0 Internationale licentie. Dit houdt in dat je onder de voorwaarde van naamsvermelding vrij bent om:

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Aanvullende informatie over dit lesmateriaal

Van dit lesmateriaal is de volgende aanvullende informatie beschikbaar:

Toelichting: Throughout history the combination of mathematics and arts has led to the development of remarkable masterpieces. These masterpieces often serve as important ceremonial and religious artefacts, which reflect the uniqueness of the civilisation of origin. This activity focusses on mosaics and the role of geometry in art. Students are often unaware of the relation of mathematics to history, art, religion and culture. By studying and designing mosaics students get a more interdisciplinary view of mathematics which transcends the typical subjects taught in schools. Furthermore, mosaics provide a visual and tangible context for students to study transformation geometry, including translation, rotation, and reflection.
Leerniveau: VO;
Leerinhoud en doelen: Rekenen/wiskunde;
Eindgebruiker: leerling/student
Moeilijkheidsgraad: gemiddeld
Studiebelasting: 0 uur en 50 minuten
Trefwoorden: icse_en/about/index.php?language=0, masdiv_en

Gebruikte Wikiwijs Arrangementen

Freudenthal Instituut. (z.d.).

Sjabloon [NIET WEGGOOIEN OF AANPASSEN!]

https://maken.wikiwijs.nl/207790/Sjabloon__NIET_WEGGOOIEN_OF_AANPASSEN__

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LTI

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Arrangement

IMSCC package

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Mosaics

Mosaics

Colofon

Aanvullende informatie over dit lesmateriaal

Gebruikte Wikiwijs Arrangementen

Downloaden

Metadata

LTI

Arrangement

IMSCC package

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