Ninety-seven education students majoring or minoring in mathematics had their math homework examined in a Number Theory or Abstract Algebra course. Each student's homework was observed for the purpose of identifying common errors and misconceptions when writing mathematical proofs. The results showed that students collectively made four…

This paper reports a study on retention of core concepts in differential and integral calculus by examining the knowledge of two pre-service mathematics students. The study is conducted using a mixed method approach and the obtained data were analyzed using theory of three worlds of mathematics. The results showed that having good understanding of…

Since the prevalence of data and statistics in the media and workplace has greatly increased over the past few decades, the teaching of statistics in K-12 grades has also increased. This necessitates that teachers be ready to teach statistical concepts throughout the grade levels. The recently adopted Common Core State Standards for Mathematics…

The purpose of this study was to investigate pre-service teachers' awareness of creativity in mathematics and mainly their ability to transfer the pedagogical knowledge for mathematical creativity into their suggested lesson plan as an indication of practice. The sample of the study was a group of pre-service teachers who were attending a…

This study was situated in a semester-long classroom teaching experiment examining prospective teachers' understanding of number concepts and operations. The purpose of this paper is to describe the learning goals, tasks, and tools used to cultivate prospective teachers' understanding of addition and subtraction with whole numbers.…