Akademik Dersler - Tanıtım

Last Updated: 30/09/2026

Code - Course Title	Course Type	Laboratory + Practice	ECTS
MTE611 - Mathematical Proof	II. SEMESTER	3 +0	7.5

Language of Instruction	Türkçe
Course Type	Elective Courses
Course Instructor(s)	PROF. DR. DİLEK TANIŞLI
Mode of Delivery	The mode of delivery of this course is\"face to face
Place of Delivery
Used Educational Platforms
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	There is no recommended optional programme component for this course.
Recommended Resources	Alibert, D. And Thomas, M. (1991). Research on mathematical prof. In D. Tall (Eds). Advanced Mathematical Thinking. London: Kluwer Akademic Publishers. Azzouni, J. K. (2006).Tracking Reason : Proof, Consequence, and Truth. Oxford University Press. Fletcher, P. (1998). Truth, Proof, and Infinity : A Theory of Constructions and Contructive Reasoning Kluwer Academic. Hanna, G. (1991). Mathematical proof. In D. Tall (Eds). Advanced Mathematical Thinking. London: Kluwer Akademic Publishers. Harel, G. and Sowder, L. (1998). Students proof schemes: Results from exploratory studies. In A. Schoenfeld, J. Kaput and E. Dubinsky (Eds.) Research in Collegiate Mathematics Education III. American Mathematics Society. Washington, D.C. Lay, S. R. (2005). Analysis : With an Introduction to Proof. Pearson/Prentice Hall. Proof and knowledge in mathematics [electronic resource] / edited by Michael Detlefsen. London ; New York : Routledge, 1992.
Work Placement	N/A
Aims of the Course

Weeks	Learning Outcomes	Topics	Teaching Methods
Week - 1		Philosophy of Mathematics/ The historical development of proof
Week - 2		What is the proof and mathematical proof?/ Useges of “Proof” and “Proving”/ Cognitive Development of Proof
Week - 3		Basic Concepts of Proof/ Proof Methods
Week - 4		The Nature of Mathematical proof, The role and Purpose/ The proof in mathematics Curriculum/ The NCTM Standards and Proof/ Research Perspectives
Week - 5		Proof and Reasoning
Week - 6		Proof and Arguments
Week - 7		Problem Solving and Proof
Week - 8		Understanding the proof for students: and The proof categories and schemas
Week - 9		Pedagogical Perspective of Proof Teaching/ Theories on Proof Teaching/ Teaching of Proof in The Elementary and MiddleGrades and High School/ Teaching of Proof in College
Week - 10		Proof Related Beliefs and Opinions/ The Student’s Difficulties in Mathematical Proof
Week - 11		Investigation of researches related to mathematical proof.
Week - 12		Investigation of researches related to mathematical proof.
Week - 13		Investigation of researches related to mathematical proof.
Week - 14		General evaluation

No content has been provided.

No content has been provided.

No content has been provided.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
Toplam (%)