Combination problems are a cornerstone of combinatorics courses, but little research has been done examining the ways that students perceive and differentiate among different combination problems. In this article, we investigate how mathematics education students (n = 18) in a discrete mathematics course view two categorically different…

Math anxiety -- negative feelings towards math -- is hypothesized to be associated with the avoidance of math-related activities such as taking math courses and pursuing STEM careers. Surprisingly, however, there is little experimental evidence for the math anxiety- avoidance link. Such evidence is important for formulating how to break this…

Purpose: This preliminary study aimed to investigate teacher self-efficacy over a one-year period under a project called "Professional development to enhance student thinking and problem-solving skills." Teachers' self-efficacy was focused due to the fact that personal belief in one's capabilities to complete tasks or achieve goals or…

The purpose of this paper is to explore the importance of problem posing in learning mathematics at the compulsory education level. Despite acknowledging that children have a natural disposition to pose questions, no curricular provision currently exists for the conceptualisation and operationalisation of mathematical problem posing within…

Relational understanding constitutes students' awareness of appropriate procedures to solve problems along with logical reasoning. It is pivotal to help students solve problems in mathematics. It is necessary that the teaching of mathematics be directed to achieve relational understanding. Accordingly, students are capable of solving complicated…

We argue that understanding the cognitive foundations of computational thinking will assist educators to improve children's learning in computing. We explain the conceptual relationship between executive functions and aspects of computational thinking. We present initial empirical data from 23 eleven year old learners which investigates the…

Common student errors and misconceptions can be addressed through the method of classroom voting, in which the instructor presents a multiple-choice question to the class, and after a few minutes for consideration and small-group discussion, each student votes on the correct answer, using a clicker or a phone. If a large number of students have…

This article uses action-process-object-schema theory to study the mental constructions about the limit of series during a Calculus 1 course at a university. The researchers also used the theory's teaching methodology to teach the topic. A plethora of research on the limit concept is available and suggests that the concept is on record as being…

This study aimed to investigate the mathematical problem posing skills of gifted students. The participants of the study, designed as a case study, were 55 middle school students (20 sixth grade, 17 seventh grade, 18 eighth grade) who were studying at Science and Art Center in a city in the Eastern Anatolia region. Data were collected through a…

Two-hour long developmental teaching interviews were conducted with each of 14 sixth grade students, ages 11-12. The purposes of the interviews were to investigate how students solved arrangement problems (APs), and how their solutions of these problems differed from their solution of Cartesian product problems (CPPs). The 14 students represented…

The current study is an inter-disciplinary study in which the problems posed by pre-service primary school teachers were analyzed within the context of both environment and mathematical processes. A total of 75 pre-service primary school teachers participated in the current study designed according to the case study design, one of the qualitative…

The paper presents results of two case studies with undergraduate students majoring in applied mathematics and engineering. The first case study deals with students' preferences for and difficulties with application problems and pure mathematics questions in their courses. The students were majoring in applied mathematics and taking a second-year…

Teachers spend a lot of time talking about students: They talk about how students learn, how to best plan lessons for them, and how to understand their written work using different protocols. Instead of hypothesizing about what a student might do on a task or why a student made a certain mistake, why aren't teachers just asking the student?…

The focus of this paper is on the problem of appropriate teaching in the open/distance education and the need to practically employ effective evaluative tools for improving the academic achievement of learners involved in these modes of education. This paper introduced KPS method that was formulated on the basis of well stated assumptions as a…

This manuscript proposes the use of the "I notice, I wonder" routine in college mathematics classrooms to address issues of diversity, equity, and inclusion. Examples are given of prompts that incorporate meaningful conversations about real-world issues affecting our students or about issues of inclusion, access, and representation in…