In this study, the conceptualizations used by prospective middle school mathematics teachers when defining, representing, and exemplifying the slope concept and relating it with other mathematical situations were examined. Participants' conceptualizations were identified by Nagle, C., Moore-Russo, D., Viglietti, J., & Martin, K. [(2013).…

The concept of the limit is often experienced as a very abstract concept. In this study we explore the understanding of the concept of the limit with 74 students who are prospective high school mathematics teachers. The study is located within the first of three calculus courses which they study as part of their bachelor's degree in education at a…

Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…

This study aims to determine pre-service science teachers' metaconceptual activities about the design of processes to teach science concepts in their pre-active phase. A single-case design was used. The eight pre-service science teachers participated in this study. An activity journal and an instruction process evaluation developed by the…

In aiming to frame plagiarism as an academic literacy issue, this paper focuses on the strategies used by firsts years Portuguese university students, when writing from sources, along with the relationship between these strategies and the way students view themselves as readers, writers and users of sources. The study was based on 44 short summary…

Research on students' thinking about the particulate nature of matter has shown that students find it difficult to connect the macroscopic with the sub microscopic world. Although they have heard about atoms, students stay within a continuous model of matter or attribute macroscopic properties to particles. The research presented focuses on the…

This study examines the contribution of the knowledge produced in educational administration doctoral theses to the functions of science, concept and model development, theory formation, scale development/adaptation and application. Content analysis, one of the qualitative methods, was used in conducting the research, which analyzed 122 doctoral…

In 2014 NCTM advocated for productive struggle by expressing the need for teachers to allow their students the time necessary to grapple with their mathematical "uncertainties." We posit pre-service teachers need opportunities to productively struggle when learning and applying their mathematical understanding in order to understand how…

Since formal mathematics is discussed in terms of abstract symbols, many students face difficulties to acquire a clear understanding of mathematical concepts and ideas. Transforming abstract or dis-embodied representations of mathematical concepts and ideas into embodied representations is a strategy to make mathematics more tangible and…

This article aims to show some activities based on non-routine problems with different levels of difficulty and from different classes that are integrated into the curriculum, additionally two spaces were opened for students to interact with recreational mathematics activities with the purpose of providing opportunities to all students access the…

In the body of knowledge in mathematics education research, fractions are one of the researchers' concerns. The reason is because fractions are very difficult for students to understand. This study explores elementary school students' knowledge and obstacles in dealing with the multiplication of fractions. This study employs descriptive…

Nonlinear equations are usually solved numerically. However, approximated analytical solutions of nonlinear equations are useful as an initial iteration point for numerical methods. Furthermore, these analytical approximations are sometimes quite close to the actual root. In order to teach at undergraduate level how to perform this kind of…

The purpose of this dissertation is to explore how HESA graduate students? conceptions of critical consciousness transform and evolve during a diversity course and the pedagogical practices that foster consciousness-raising. Each of the twelve participants completed two semi-structured interviews and three journal prompts. Using a case study…

In order to comprehend complex and abstract phenomena, students must partake in the process of learning by integrating complex and invisible components without ever physically encountering or manipulating such components. Prior knowledge and experiences will influence the way students assimilate and model new experiences and knowledge. If prior…

This study was conducted with a student who is visually impaired and questioned the force of gravity. The different stages encountered in the process were specified as steps in the study and it was shared what kind of inquiry form was needed at each step. There are different activities such as waiting for a week and thought experiment in the…