| School/Faculty/Institute | Faculty of Education | ||||
| Course Code | ELE 205 | ||||
| Course Title in English | Role of Mathematics in Science, Technology and Engineering | ||||
| Course Title in Turkish | Role of Mathematics in Science, Technology and Engineering | ||||
| Language of Instruction | EN | ||||
| Type of Course | Flipped Classroom,Lecture,Project,Seminar | ||||
| Level of Course | Introductory | ||||
| Semester | Spring | ||||
| Contact Hours per Week |
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| Estimated Student Workload | 109 hours per semester | ||||
| Number of Credits | 5 ECTS | ||||
| Grading Mode | Standard Letter Grade | ||||
| Pre-requisites | None | ||||
| Expected Prior Knowledge | Introduction to Discrete Mathematics | ||||
| Co-requisites | None | ||||
| Registration Restrictions | Only Undergraduate Students | ||||
| Overall Educational Objective | Understand the relationship between mathematics and science, technology and engineering, build different projects and understand the interdisciplinary function of mathematics. | ||||
| Course Description | This course will start with what is knowledge and discuss the philosophy that emphasizes how science and technology arise and develop. We will then discuss mathematical knowledge used in different areas of Science, Technology and Engineering. Mathematics is a human product, we know that without mathematics we cannot understand the world we live in. To understand the world we live in and human developments in science and technology, we have to know and do mathematics. First, we will discuss information theory, then we will focus on scientific research. We will continue to study articles from the American Mathematical Society, Mathematical Moments. Focusing on different topics each week, we will also host guest speakers or watch their videos regularly. These speakers will share their expertise with us and we will discuss how they use mathematical knowledge in their areas of expertise. Most of them will be engineering faculty members from different universities, but there will also be some scientists who use mathematics extensively in their work. You will be responsible for the guest speakers' talk and the assessment/exams will cover the knowledge and ideas they share. | ||||
| Course Description in Turkish | Bu ders bilgi nedir ile başlayıp bilim ve teknolojinin nasıl doğduğunu ve geliştiğini vurgulayan felsefeyi tartışacaktır. Daha sonra Bilim, Teknoloji ve Mühendislik'in farklı alanlarında kullanılan matematiksel bilgiyi tartışacağız. Matematik bir insan ürünüdür, matematiği olmadan yaşadığımız dünyayı anlayamadığımızı biliriz. Yaşadığımız dünyayı ve bilim ve teknolojiyle ilgili insani gelişmeleri anlamak için, matematik bilmek ve matematik yapmak zorundayız. İlk olarak, bilgi kuramı üzerinde tartışacağız, daha sonra bilimsel araştırmaya odaklanacağız. Amerikan Matematik Derneği, Matematiksel Anlar'dan makaleler çalışmaya devam edeceğiz. Her hafta farklı konulara odaklanarak, konuk konuşmacıları da ağırlayacak veya videolarını düzenli olarak izleyeceğiz. Bu konuşmacılar uzmanlarını bizlerle paylaşacak ve matematiksel bilgiyi uzmanlık alanlarında nasıl kullandıklarını tartışacağız. Bunların çoğu farklı üniversitelerden mühendislik fakültesi üyeleri olacaktır fakat matematik çalışmalarını yoğun olarak kullanan bazı bilim adamları da bu derste olacaktır. Konuk konuşmacıların konuşmasından sorumlu olacaksınız ve değerlendirme / sınavlar onların paylaştığı bu bilgileri ve fikirleri kapsayacaktır. |
Course Learning Outcomes and CompetencesUpon successful completion of the course, the learner is expected to be able to:1) . 2) . 3) . 4) . 5) |
| Program Learning Outcomes/Course Learning Outcomes | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
| 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. |
| 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 | HW,Project |
| 2) | Design lesson plans based on how students learn mathematics and students’ difficulties in learning mathematics. | H | HW,Project |
| 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. | H | Exam,HW,Presentation,Project |
| 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. | S | Exam,HW |
| 5) | Evaluate and assess students’ individual developmental paths, difficulties in understanding mathematics in multiple ways and use assessment results in improving teaching and learning. | S | HW,Presentation,Project |
| 6) | Have an awareness of students’ social, cultural, economic and cognitive differences and plan the lessons and activities based on this awareness. | N | |
| 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 | HW,Presentation,Project |
| 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. | H | HW,Presentation,Project |
| 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. | H | HW,Presentation,Project |
| 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. | H | Exam,HW,Presentation,Project |
| 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. | S | HW,Project |
| 13) | Demonstrate consciousness and sensitivity towards preserving nature and environment in the process of developing lesson activities. | H | Project |
| 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. | S | HW,Project |
| Prepared by and Date | ZELHA TUNÇ , December 2023 |
| Course Coordinator | BENGİ BİRGİLİ |
| Semester | Spring |
| Name of Instructor | Öğr. Gör. SANEM SARILICAN |
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| Required/Recommended Readings | None | |||||||||||||||||||||
| Teaching Methods | Flipped Classroom model will be used while teaching Internship I. Learner will access key journals related with effective teaching strategies and questioning individually or in small groups prior to class time, generate their questions, underline the points that they find most difficult or hardly understand, and then meet face-to-face in the larger group with similar misunderstandings to explore content through active learning and engagement strategies. Learners will take the responsibility of their own learning, and study core content/mathematics curriculum either individually or in groups before class and then apply mathematical knowledge and skills to a range of activities using higher order thinking. Lecturing is still important but the teacher candidates will gain opportunity to prepare their own assignments by using flipped learning approach. | |||||||||||||||||||||
| Homework and Projects | Rubric for Short Assignments: Short assignments are about 300 words typed 12 pts Times new roman. Put the date, topic, and your name on top of the paper. Point 1: Poor. There are some ideas but not understandable. It needs to be redone. Point 2: Fair. There are some ideas and some of them understandable. They are unconnected. There is no connection to the literature/readings when necessary. Point 3: Moderate. There are some ideas but most of them are unconnected. Reflection could be better. Writing DOES NOT follow the format requirement- especially word count is less than expected. Point 4: Good. The ideas are well written. There is some connection to the literature/readings when necessary. Writing format is partially followed. Point 5: Excellent. The ideas are clearly written. The ideas are connected, well thought and original. There is enough connection to the literature/readings when necessary. Writing follows the format requirement. Project on STEM Education and Presentation: You will be conducting an interview with an identified school’s Science and Technology Coordinator. You should record this interview (either voice or camera). Inform and seek consent of the interviewee about this before recording. Prepare about 10 questions; share them with the course instructor before you use it at the interview. Your questions should be related to the use of the technology and mathematics. You need to identify what types of projects there are at the school related to science, technology and engineering. You can also observe how a teacher uses the focused tool at the event (it can be after school activity etc.). You should write a report of 3-pages (12 points, Times New Roman, 1 inch- margin from all sides) and attach the pictures or videos of the manipulative. Your report should include the answers to the questions and half a page of analysis about what you think about the benefits and disadvantages of having such a hands-on activities. Do you think they serve the purpose of connecting mathematics and/or science to children’s work? You can do this as a group and you will have a 5-7 minute presentation time depending on the time. MEF High School MEF International School MEF Middle School Technology- Etkinlikler, Maker, First Lego etc. MEF Middle School Computer Department- Especially computer programming like Python Darüşşafaka Schools Prof. Ali Kemal Yiğitoğlu Vizyon Koleji Pick a topic from American Mathematical Society: You will work as a group of at most 3 people. Pick a topic from Mathematical Society- Mathematical Moments by March 1. Post it by March 22 to the discussion board and BB. Everybody will read the topic and come to class prepared. In class you will guide us through the mathematics that is discussed in the document. You need to be creative, for example, you can prepare KAHOOT or video or any other type of interactions. You will have about 30 minutes. Midterm and Final Exam: You will have an open-ended and multiple-choice exam related to the ideas, approaches discussed in the readings and classroom discussions. It is important that you come prepared to the class by reading the assignments, answer questions ahead of time, and participate the discussions in the classroom actively. Final Project: You will choose a topic which you will investigate in detail. This topic should be related to the knowledge that we have today and how mathematics contribute to understanding this topic. Potential topics can include making invisible visible with 3-D imaging (MRI, advanced molecular microscopy, 3-D seismic survey), optimization and engineering, mathematical biology. While you can choose your topic on your own, you can also work at FenLab+Art İstanbul (http://www.itap-btm.org/). They have 4 topics: 1) Mechanical Computers, 2) Mechanical Cryptographic Box, 3) Binocular and Telescope Design 4)3 V Tesla Solenoid Engine. After you choose your topic in consent with the instructor, you will work on this topic for at least 4 weeks and you will give your updates written on BB. Your project should be finished by the first week of May. You will prepare a presentation about 10 minutes. This presentation will be in class in the last two weeks of the class. You will also prepare a poster and write-up about the topic. Poster will be open to the other members of the faculty or the university. Write-up will be about 5 pages (12 points, Times New Roman, 1 inch- margin from all sides). Write up should include: what is the story behind the problem? How does mathematics help us think differently or solve the problem? Your approach to the construction of the knowledge discussed in the paper is very important. While you might not discover new approaches, your orientation to understanding the problem and to its solution is important. If you are using any resources you need to cite using APA style (https://owl.english.purdue.edu/owl/resource/560/12/). There is zero tolerance to the cheating, and plagiarism. | |||||||||||||||||||||
| Laboratory Work | None | |||||||||||||||||||||
| Computer Use | Computers will be used in pre-class activities and student projects. | |||||||||||||||||||||
| Other Activities | None | |||||||||||||||||||||
| Assessment Methods |
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| Course Administration |
tuncz@mef.edu.tr Assoc. Prof. Zelha TUNÇ-PEKKAN Office: Thursdays 09:00-10:50 Office Phone: 212 395 36 25 E-mail Address: tuncz@mef.edu.tr Class Hours: Thursdays 11:00-12:30 Academic dishonesty and plagiarism: YOK Disciplinary Regulation |
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| 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 | 1 | 2 | 1 | 56 | ||
| Proje | 1 | 15 | 2 | 17 | |||
| Ara Sınavlar | 1 | 12 | 2 | 14 | |||
| Final | 1 | 20 | 2 | 22 | |||
| Total Workload | 109 | ||||||
| Total Workload/25 | 4.4 | ||||||
| ECTS | 5 | ||||||