School/Faculty/Institute Faculty of Education
Course Code ELE 303
Course Title in English Methods of Teaching Mathematics I
Course Title in Turkish Methods of Teaching Mathematics I
Language of Instruction EN
Type of Course Ters-yüz öğrenme
Level of Course Başlangıç
Semester Fall
Contact Hours per Week
Lecture: 3 hours Recitation: Lab: Other:
Estimated Student Workload 137 hours per semester
Number of Credits 5 ECTS
Grading Mode Standard Letter Grade
Pre-requisites ELE 202 - Foundations of Teaching Numbers, Operations and Algebra | ELE 206 - Foundations of Teaching Numbers, Operations and Algebra
ELE 204 - Foundations of Teaching Geometry, Probability and Statistics | ELE 208 - Foundations of Teaching Geometry, Probability and Statistics
EDS 206 - Instructional Technology and Material Design
Co-requisites None
Expected Prior Knowledge ELE 206 (Sayı, İşlem ve Cebir Öğretiminin Temelleri) ELE 208 (Geometri, Olasılık ve İstatistik Öğretiminin Temelleri) EDS 206 (Öğretim Teknolojisi ve Materyal Tasarımı)
Registration Restrictions None
Overall Educational Objective To understand the principles and skills of effective mathematics teaching
Course Description This course will provide opportunities for prospective middle school mathematics teachers to gain the skills to understand and apply the principles of effective mathematics teaching. In the course, special approaches and strategies will be taught to the subjects of mathematics taught in secondary school. In particular, issues such as problem solving training, lesson planning, and effective use of question-answer methods in the classroom will be examined.

Course Learning Outcomes and Competences

Upon successful completion of the course, the learner is expected to be able to:
1) Öğrencilerin matematiksel düşünme ve problem çözme becerilerini geliştirmek için etkili ve öğrenci merkezli özel öğrenme yöntemleri ve stratejileri uygulamak.
2) Öğrencinin matematiği nasıl öğrendiğine ve öğrencinin matematik öğrenmedeki zorluklarına dayalı bir ders programı tasarlama.
3) Matematiğin çeşitli alanları (analiz, cebir, lineer cebir, geometri, topoloji, matematiksel modelleme, istatistik ve olasılık, diferansiyel denklemler, vb) ve bilim ve matematiğin doğası hakkında bilgi sahibi olmak.
4) Öğrencilerin ihtiyaçlarına göre matematiği etkili ve anlamlı bir şekilde öğretmek için müfredat, öğretim teknolojisi ve materyal geliştirme konusunda bilgi ve beceri sahibi olmak.
5) Öğrencilerin bireysel gelişim yollarını, matematiği farklı şekillerde anlamada yaşadıkları zorlukları ölçmek ve değerlendirmek ve değerlendirme sonuçlarını öğretimi ve öğrenimi geliştirmek için kullanmak.
6) Öğrencilerin sosyal, kültürel, ekonomik ve bilişsel farklılıkları hakkında bilgi sahibi olmak, ders ve etkinlikleri bu farkındalığa dayalı olarak planlamak.
7) Öğrencilerin matematiği mümkün olan en iyi şekilde öğrenmeleri ve aynı zamanda kendilerini mutlu ve güvende hissetmeleri için meslektaşları ve öğrenci velileriyle işbirliği yapmak ve iletişim kurmak. Öz disiplinli ve çok disiplinli takımlarda etkin bir şekilde çalışmanın yanı sıra tek başına çalışırken bireysel sorumluluk almak.
8) Yaşam boyu öğrenmenin gerekliliği bilincine sahip olmak. Bilgiye erişebilme ve eğitim, bilim ve teknolojideki gelişmeleri takip edebilme. Alanı ile ilgili problem çözme becerisi gösterebilme, kendini yenileyebilme ve geliştirebilme, kendi çalışmalarını eleştirel bir yaklaşımla analiz edebilme ve sorgulayabilme. Bilişim teknolojilerini etkin kullanmak.
9) Matematik öğretimi ve öğreniminde bilimsel yöntemlere dayalı problemlerin çözümünde bilimsel araştırmaları etkin bir şekilde kullanmak. Verileri eleştirel bir yaklaşımla araştırmak, analiz ve sentez etmek ve problemlere verilere ve bilimsel kaynaklara dayalı çözüm önerileri geliştirmek.
10) Türkçe sözlü ve yazılı etkin iletişim kurma becerisine sahip olmak ve en az B2 düzeyinde İngilizce bilmek (Avrupa Dil Portföyünde).
11) Farklı kültürler, değerler ve öğrencilerin demokratik hakları konusunda farkındalık ve duyarlılık sahibi olmak.
12) Etik ve mesleki sorumluluklarını gösterir. Milli Eğitim Temel Kanunlarında ifade edilen ulusal ve evrensel hassasiyetler hakkında bilgi sahibi olur.
13) Ders etkinliklerini geliştirme sürecinde doğayı ve çevreyi korumaya yönelik farkındalık ve duyarlılık gösterir.
14) Ulusal kültür ve tarihin yanı sıra uluslararası kültürler hakkında bilgi sahibi olur ve zenginliklerinin farkına varır. Toplum, kültür, sanat ve teknoloji alanındaki gelişmeleri öğrenmek ve bu gelişmelere katılmak.
Program Learning Outcomes/Course Learning Outcomes 1 2 3 4 5 6 7 8 9 10 11 12 13 14
1) Apply effective and student-centered specific teaching methods and strategies in order to improve students’ mathematical thinking and problem solving skills.
2) Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics.
3) Demonstrate knowledge in various areas of mathematics (such as analysis, algebra, linear algebra, geometry, topology, mathematical modeling, statistics and probability, differential equations) and nature of science and mathematics.
4) Display knowledge and skills in developing programs, teaching technologies and materials in order to teach mathematics in effective and meaningful ways based on student needs.
5) Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning.
6) Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness.
7) Collaborate and respectively communicate with colleagues and student parents such that students learn mathematics in best ways and at the same time feel happy and safe. Work effectively within teams of their own discipline and multi-disciplinary as well as take individual responsibility when they work alone.
8) Have awareness of need for life-long learning. Access information and following developments in education, science and technology. Display skills of solving problems related to their field, renew and improve themselves and critically analyze and question their own work. Use information technologies in effective ways.
9) Use scientific investigation effectively to solve problems in mathematics teaching and learning based on scientific methods. Critically investigate, analyze and make a synthesis of data, and develop solutions to problems based on data and scientific sources.
10) Exhibit skills of communicating effectively in oral and written Turkish and command of English at least at B2 general level of European Language Portfolio.
11) Have awareness of and sensitivity to different cultures, values and students’ democratic rights.
12) Display ethical and professional responsibilities. Have awareness of national and universal sensitivities that are expressed in National Education Fundamentals Laws.
13) Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities.
14) Display knowledge in national culture and history as well as international cultures and recognize their richness. Have awareness of and participate to developments in society, culture, arts and technology.

Relation to Program Outcomes and Competences

N None S Supportive H Highly Related
     
Program Outcomes and Competences Level Assessed by
1) Apply effective and student-centered specific teaching methods and strategies in order to improve students’ mathematical thinking and problem solving skills. H Derse Katılım,Sunum
2) Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics. H Seçiniz,Derse Katılım
3) Demonstrate knowledge in various areas of mathematics (such as analysis, algebra, linear algebra, geometry, topology, mathematical modeling, statistics and probability, differential equations) and nature of science and mathematics. S Ödev
4) Display knowledge and skills in developing programs, teaching technologies and materials in order to teach mathematics in effective and meaningful ways based on student needs. H Ödev
5) Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning. H Ödev,Sunum
6) Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness. S Derse Katılım
7) Collaborate and respectively communicate with colleagues and student parents such that students learn mathematics in best ways and at the same time feel happy and safe. Work effectively within teams of their own discipline and multi-disciplinary as well as take individual responsibility when they work alone. H Derse Katılım
8) Have awareness of need for life-long learning. Access information and following developments in education, science and technology. Display skills of solving problems related to their field, renew and improve themselves and critically analyze and question their own work. Use information technologies in effective ways. S Ödev,Derse Katılım
9) Use scientific investigation effectively to solve problems in mathematics teaching and learning based on scientific methods. Critically investigate, analyze and make a synthesis of data, and develop solutions to problems based on data and scientific sources. N
10) Exhibit skills of communicating effectively in oral and written Turkish and command of English at least at B2 general level of European Language Portfolio. S Derse Katılım,Sunum
11) Have awareness of and sensitivity to different cultures, values and students’ democratic rights. N
12) Display ethical and professional responsibilities. Have awareness of national and universal sensitivities that are expressed in National Education Fundamentals Laws. N
13) Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities. N
14) Display knowledge in national culture and history as well as international cultures and recognize their richness. Have awareness of and participate to developments in society, culture, arts and technology. N
Prepared by and Date BENGİ BİRGİLİ ,
Course Coordinator BENGİ BİRGİLİ
Semester Fall
Name of Instructor Prof. Dr. RUKİYE DİDEM TAYLAN

Course Contents

Hafta Konu
1) Ders izlencesine giriş
2) Matematik ve matematik eğitiminin doğası
3) Matematiği anlayabilmek
4) Etkili öğretim
5) Matematik öğretimi için planlama
6) Sınıf içi söylem
7) Etkili soru sorma
8) Birebir öğretim
9) Açık uçlu problemlerle öğretim
10) Vize
11) Küçük grup öğretimi: İşbirlikli öğrenme
12) Matematikte somut uygulamalarla öğretim
13) Video kullanımı
14) Etkili öğretim ilkeleri
15) Final
16) Final
Required/Recommended ReadingsVan De Walle, J., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary and middle school mathematics: teaching developmentally (7th ed.). Boston: Allyn & Bacon. Libr call number: QA135.5 .V335 2001. Artzt, Alice, (2003). How to use cooperative learning in the mathematics class, Reston, VA: NCTM. Libr call number: QA16 .A78 2003
Teaching MethodsMicroteaching in the classroom, field school placements, field observations, field teaching.
Homework and ProjectsIt should be noted that a significant part of the course activities requires reading the required textbook. This is an expectation that some students may not be used to, but so that they can fully understand the lesson. Students should do pre-lesson work (watch case videos, read textbooks and chapters of the textbook) and come to class prepared to discuss and contribute to class discussions. In addition, students are expected to write weekly field observation diaries on identified themes, plan lessons (sometimes collaboratively), teach in the classroom and at field schools, and write reflections on these experiences. Students are expected to engage in activities that will benefit the students of the schools they are placed in, and to document and report these activities.
Laboratory WorkNone
Computer UseNone
Other ActivitiesMicroteaching in the classroom, field school placements, field observations, field teaching.
Assessment Methods
Assessment Tools Count Weight
Devam 1 % 10
Ödev 1 % 45
Projeler 1 % 30
Ara Sınavlar 1 % 15
TOTAL % 100
Course Administration tayland@mef.edu.tr

ECTS Student Workload Estimation

Activity No/Weeks Hours Calculation
No/Weeks per Semester Preparing for the Activity Spent in the Activity Itself Completing the Activity Requirements
Ders Saati 14 2 2 1 70
Ödevler 4 10 1 1 48
Ara Sınavlar 1 5 2 7
Final 1 10 2 12
Total Workload 137
Total Workload/25 5.5
ECTS 5