COURSE UNIT TITLE

: MATHEMATICS AND ART

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
OMT 3022 MATHEMATICS AND ART ELECTIVE 3 0 0 4

Offered By

Mathematics Teacher Education

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

ASSOCIATE PROFESSOR IŞIKHAN UĞUREL

Offered to

Mathematics Teacher Education

Course Objective

Knowledge acquisition about connections between mathematics and art and their interaction fields and resort this information in teaching-learning process.

Learning Outcomes of the Course Unit

1   To be able to apprehend relationships between mathematics and art.
2   To be able to notice the effect of mathematics on art and artworks.
3   To understand the relationship between the Curriculum of Mathematics and art.
4   To be able to do the research about the interaction fields of mathematics and art.
5   To be able to develop teaching applications based upon integrating mathematics and art.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Definitions and descriptions about Mathematics and Art Curriculum of Mathematics and Art relationship
2 What is MATHART Studies within MATHART. Who are A. Fomenko ve Ferguson Their biography and work Turkish MATHART artists and their artifact
3 Fractals - What is fractal - The rising and applications of fractals - The short biography of Mandelbrot - Fractal construction and examples of construction in fractal specialty - Examination of graphics generated with some fractal composing softwares
4 Mathematics and Picture Relationship - Perspective studies - The mathematical constituents in artifacts of Da Vinci and Dürer - The mathematical constituents at digital art products - Golden ratio in Art - Application examples in teaching of mathematics
5 Mathematics and Picture Relationship - Escher and his art - Tessellation, calibration and tiling of plane - Application examples in teaching of mathematics
6 Mathematics and Music - Archimedes contribution to music, measures - Golden ratio in music piece - Mathematics at production of instrument - Mathematics modeling of sound in music and other structure - Probing of Mathematical Music Theory in general terms - Application examples in teaching of mathematics
7 Mathematics and architecture - Mathematics in architecture - Mimar Sinan s works and their qualities - Golden ratio in architecture - Mathematics in pyramides - Application examples in teaching of mathematics
8 Midterm
9 Interplay Between Mathematics And Some Handicrafts - Mathematics in carpets and rugs (design, pattern, transformations and symmetry) - Sculpture making and mathematical substances - Application examples in teaching of mathematics
10 Interplay Between Mathematics And Some Handicrafts - Mathematics in porcelain and mosaic - Mathematics in basket, knick-knack and jewellery making - Application examples in teaching of mathematics
11 Origami/ Krigami - Origami and its short historical progress, origami examples - Krigami and its short historical progress, krigami examples - Resort origami and krigami in education - Resort origami and krigami in teaching of mathematics
12 Mathematics and Humor - What is humor What are branches of humor - Mathematics and humor relationship - Comics and teaching of mathematics - Notion comics and their usage examples in teaching of mathematics - Application examples in teaching of mathematics
13 Mathematical Construction In Islamic Art And Properties
14 Mathematics and Cinema - Discussions about criticisms and movies involved in mathematics - The mathematical elements in cinema and digital arts (eg. photography)
15 Final

Recomended or Required Reading

--M.C. Escher's Legacy A Centennial Cerebration (2005), (Eds.) Doris Schattschneider, Michele Emmer, Springer.
--Mathematics ans Culture II (2002), Michele Emmer, Springer.
--Music and Mathematics (2003), (Eds.) John Fauvel, Raymond Flood, Robin Wilson, Oxford University Press.
--Project Origami, Activities for Exploring Mathematics (2006), Thomas Hull, A K Peters Ltd.
--Islamic Art and Geometric Design, Activities for Learning (2004), The Metropolitan Museum of Art.
--Geometry and the Visual Arts (2011),Daniel Pedoe, Dover Publications.

Planned Learning Activities and Teaching Methods

Presentation, Case Study, Learning by Research-Examination, Small Group Works.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 MTE MIDTERM EXAM
2 STT TERM WORK (SEMESTER)
3 FINS FINAL EXAM
4 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.30 + STT * 0.10 + FINS * 0.60
5 RST RESIT
6 FCGR FINAL COURSE GRADE (RESIT) MTE * 0.40 + RST * 0.60

Further Notes About Assessment Methods

Homework and presentation performed in a small group (2-3 people) and other evaluations performed by the individual

Assessment Criteria

To be announced.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

Office Tel: 0232 420 48 82-12407
E-mail: isikhan.ugurel@deu.edu.tr

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Theoretical 13 3 39
Pre Class Self Study 13 2 26
Midterm Preparation 1 6 6
Final Preparation 1 12 12
Paper Preparation 9 1 9
Research Presentation 3 1 3
Final Exam 2 1 2
Midterm Exam 2 1 2
TOTAL WORKLOAD (hours) 99

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15PO.16PO.17PO.18
LO.1555555
LO.2545555
LO.3555555
LO.455555
LO.555555555