Browsing by Author "Selim Guvercin"

Now showing 1 - 3 of 3
  • Thumbnail Image
    ItemOpen Access
    Creative thinking is increased by means of problem posing instruction in mathematics education
    (Suleyman Demirel University, 2010) Selim Guvercin
    This study investigates the impact of problem posing instruction on the development of mathematical creativity among prospective mathematics teachers. Mathematical creativity is considered a key component of mathematical ability and is often characterized by fluency, flexibility, and originality. Problem posing, which involves generating, reformulating, and generalizing problems, provides a rich environment for enhancing these creative capacities. The study involved 15 randomly selected fourth-year mathematics education students from Suleyman Demirel University. Participants engaged in structured problem posing activities using the Brown and Walter (1983) instructional approach, including open-ended and “What-if-not?” style problems. Pretest and posttest results indicate a significant increase in both the number of questions generated (fluency and flexibility) and the originality of questions, confirming that problem posing instruction effectively promotes creative thinking in mathematics. These findings suggest that integrating problem posing into mathematics education can enhance both teachers’ and students’ creative and cognitive abilities.
  • Thumbnail Image
    ItemOpen Access
    Some Properties of Binomial Coefficients
    (Suleyman Demirel University, 2008) Selim Guvercin
    This project explores several interesting and useful features of binomial coefficients. The work focuses on understanding when certain binomial numbers are odd or even, how they behave with respect to prime numbers, and whether some of them can form simple number patterns. The project also shows a clear connection between binomial coefficients and prime numbers by proving that one well-known property of these coefficients works only for primes. The study is divided into two parts: the first part introduces the basic concepts needed for the results, and the second part provides explanations for the main findings. Overall, the project offers a clearer understanding of how binomial coefficients behave and why these properties are important in basic mathematics.
  • Thumbnail Image
    ItemOpen Access
    THE EFFECT OF PROBLEM POSING APPROACH TO THE GIFTED STUDENTS' MATHEMATICAL ABILITIES
    (Suleyman Demirel University, 2010) Selim Guvercin
    Improvement and development of mathematically gifted students' mathematical abilities has always been one of the main duty of a secondary school mathematic teachers in Kazakhstan. Because The Ministry of Education organizes the Repuclic Olympic competition at mathematics every year. Secondary school teachers try to develop the mathematical skills of their students. The aim of this study is to give some directions for teachers to move up their students' level by using a problem posing approach which has two dimension.first special problem posing tasks were prepared for students and second face to face interaction with them. As a result, the usefulness of this approach will be discussed for secondary school teachers in order to use method in their special cources and second how a special curriculum can be prepared for the gifted students. Finally the method of problem posing may be used in the identification process of a gifted student.