In this study, external representations and the problems encountered related transformation process between representations towards limit concept were investigated. "Limit Representation Conversion Test" was administered to 41 preservice mathematics teachers studying at a state university in central Turkey during 2018-2019 academic…

This study questions the dominant approach in the presentation of the concept of slope in undergraduate education through mathematics textbooks. For this purpose, five mathematics textbooks, were analyzed for problems related to slope, and similarities and differences were revealed. First, the subjects related to the slope in the textbooks were…

In this study, representations used by preservice mathematics teachers in the process of solving limit problems were determined, the inter-representation transformation competence levels were investigated and the relationship between them was examined. In this context, "Limit Representation Transformation Test" with a reliability of…

This study examined secondary mathematics teachers' content knowledge for teaching the concept of function. Content knowledge, for the purpose of this study, includes the common content knowledge and specialized content knowledge domains of Ball and her colleagues' Mathematical Knowledge for Teaching (MKT) framework. Data were collected through a…

We conducted a study with introductory and upper-division level physics students in a Mexican and a Spanish university to learn how students recognize the main characteristics of the electric field in three of its more widely used representations, namely, algebraic notation, vector field plot, and electric field lines, and how the students do…

This study aims to investigate the non-algebraic solution strategies that prospective mathematics teachers use to solve word problems and their thought process while they were solving the problems. A total of 76 prospective mathematics teachers were asked to solve two word problems without using algebraic solutions and, then, clinical interviews…

The derivative is a central concept in calculus and has applications in many disciplines. This study explored students' understanding of derivatives with a particular focus on the graphical (geometric) representation. The participants were four Mathematics Honours students from a university in Lesotho. Data were generated from the written…

Improving the strength of alignment between educational components is essential for quality assurance and to achieve learning goals. The purpose of the study was to investigate the strength of alignment between Senior Phase mathematics content standards and workbook activities on numeric and geometric patterns. The study contributes to…

This article presents a study of the skills of Libyan and Turkish students in their quadratic word problems based on SOLO Taxonomy. The research model used in this study is a case study. The participants were 27 students at a high school in Kastamonu, Turkey and were 27 students at a high school in the city of Tripoli, Libya. The data were…

Conceptual understanding of calculus is crucial in the fields of applied sciences, business, and engineering and technology subjects. However, the current status indicates that students possess only procedural knowledge developed from rote learning of procedures in calculus without insight of core ideas. Hence, this paper aims to assess students'…

In this study, it was aimed both to examine middle school students' perceptions of the concept of pattern and to reveal if the metaphoric perceptions which the students created in relation to the concept of pattern changed according to the variable of grade level. The metaphors in relation to the concept were carried out via the…

There are different perspectives in the literature on the examination of visual images used in course books. In this study, illustrations from the visuals used in geometry in the lower learning area of school mathematics were examined and summarized first by researchers and then by teachers and students. For many students, the mathematics…

Mathematics as a discipline requires abstract operations under many sub-learning areas is considered hard by students to learn. In this respect, it has become indispensable to make mathematics teaching processes fun and to structure teaching procedures by using different teaching methods, techniques or materials. In this context, the purpose of…

Mathematics is of major importance in science subjects. Unfortunately, students struggle with applying mathematics in science subjects, especially physics. In this qualitative study we demonstrate that transfer of algebraic skills from mathematics in physics class can be improved by using pre-knowledge effectively. We designed shift-problems…

Purpose: The main purpose of this study was to examine mathematics teachers' abilities in developing formative assessments when teaching algebraic reasoning after utilizing two innovations: lesson study and open approach. Methodology: A single group quasi-experimental research design was employed in two mathematics classes in a school in…