COURSE UNIT TITLE

: FIELD ELC. 2 (MATHEMATICS AND ART)

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IMÖ 2019 FIELD ELC. 2 (MATHEMATICS AND ART) ELECTIVE 2 0 0 4

Offered By

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR BERNA CANTÜRK GÜNHAN

Offered to

ELEMENTARY MATHEMATICS TEACHER EDUCATION

Course Objective

To ensure that prospective mathematics teachers see that mathematics is not just an abstract science, but also has deep and interesting connections with visual arts (painting, sculpture, architecture), music and other branches of art. Through these connections, it aims to help them appreciate the aesthetic aspect of mathematics, develop interdisciplinary thinking skills and develop pedagogical approaches and activities that will make mathematics more interesting, meaningful and accessible to their students in their future courses. By examining mathematical concepts in artistic contexts, the course allows prospective teachers to discover their own creativity and integrate this creativity into their teaching processes.

Learning Outcomes of the Course Unit

1   Be able to recognize and explain the basic applications and traces of mathematics in the visual arts (painting, sculpture, architecture), music and other branches of art.
2   Analyze the interaction between mathematics and art throughout history, the reflections of this interaction on works of art, and its role in important movements.
3   Discuss the place of basic mathematical concepts such as symmetry, ratio-proportion (including the golden ratio), perspective, tessellation, and fractals in artistic creation and analysis.
4   Can produce simple artistic designs or interpret existing works of art mathematically using given mathematical principles (e.g. symmetry, tessellation rules, fractal algorithms).
5   Can design original learning activities or lesson plans that integrate mathematics and art, appropriate for curriculum (primary school, secondary school or high school level).
6   Using interdisciplinary connections between mathematics and art, it can suggest pedagogical strategies that will help students develop a more positive attitude towards mathematics.
7   Appreciate the aesthetic dimension of mathematics, its role in creativity, and its relationship to artistic expression in different cultures.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

None

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 The Intersection of Mathematics and Art: Introduction and Basic Concepts
2 Historical Interaction of Mathematics and Art (Ancient Greece, Islamic Art, Renaissance)
3 Golden Ratio and Fibonacci Numbers
4 Geometry and Symmetry: Tilings ( Tescellations )
5 Perspective, Optical Illusions and Mathematics
6 Origami and Mathematics Education
7 Fractals and the Mandelbrot Set
8 Midterm Exam
9 Topology in Art and Escher's Works
10 Mathematical Structures in Architecture
11 Numbers, Patterns and Art: Visualizing Numbers
12 Relationship Between Mathematics and Music
13 Digital Tools for Mathematical Art Projects (GeoGebra, Desmos )
14 Designing an Art Project Involving Mathematical Concepts (Workshop)
15 Final Exam

Recomended or Required Reading

Nesin, A. (2012). Matematik ve sanat. Nesin Yayıncılık.

Planned Learning Activities and Teaching Methods

Lectures, discussions, questions and answers, observations, group work, case studies.

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Midterm
2 FN Semester final exam
3 BNS BNS Student examVZ * 0.40 + Student examFN * 0.60
4 BUT Make-up note
5 BBN End of make-up grade Student examVZ * 0.40 + Student examBUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Assessment of students is measured by midterm exams, assignments and final exams in line with the learning outcomes.

Language of Instruction

Turkish

Course Policies and Rules

To be announced.

Contact Details for the Lecturer(s)

yusuf.erkus@deu.edu.tr

Office Hours

Dönem başında ilan edilecektir.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 13 2 26
Preparations before/after weekly lectures 13 2 26
Preparation for midterm exam 1 20 20
Preparation for final exam 1 20 20
Final 1 1 1
Midterm 1 1 1
TOTAL WORKLOAD (hours) 94

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14PO.15
LO.1232133521434424
LO.2332134421343423
LO.3342343531545434
LO.4332443541455454
LO.5453343541444345
LO.6545243431443555
LO.7433134411433544

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

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