A lack of student motivation in a higher-level high school mathematics class prompted the question: how does a teacher's belief in their ability to effectively teach content positively or negatively impact student motivation? The purpose of this phenomenological research study is to understand how teachers evaluate their self-efficacy and how that…

In today's world, where digitalization is inevitable and necessary, it is extremely important to raise individuals with digital competence. For this reason, it is of great importance that textbooks, which are important instruments of the education environment, are prepared in a way that contributes to digital competence skills. The aim of the…

Formulas are involved in most parts of the mathematical curriculum in upper secondary education and in everyday mathematics classrooms, but research shows that students have difficulties using formulas adequately. When students are presented with a task, the task activates a conceptual frame in the students, making them perceive formulas in a…

This study aims to examine the concept images of pre-service mathematics teachers for the concepts of single-variable and multivariable functions. In the present research, which was conducted with the case study method, a test consisting of three open-ended questions was used to obtain data about the definition of the concept of function and the…

The reality is that textbooks and state standards have more content than can reasonably be covered for proficiency in most classrooms. In years past, this typically meant cutting the last unit or two or moving along regardless of who was keeping up, in many cases resulting in cutting statistics from the curriculum. This article provides five…

This non-experimental, quantitative study investigated the association between the number of high school mathematics credits earned and college attendance. Specifically, this study examined the relationship for graduates of Kansas City Missouri Public Schools (KCPS) and Kansas City Kansas Public Schools (KCKPS) in the 2017-2018, 2018-2019 and…

This paper presents an analysis of how resources were designed to support implementation of the new Queensland senior secondary mathematics syllabuses. The analysis draws on the concept of educative curriculum materials that build teachers' subject matter knowledge and pedagogical content knowledge. Such resources are intended to help teachers…

With the system changes made in 2012 in Turkey, the fifth grade was transferred from the primary school level to the secondary school level. For this reason, secondary school teachers were forced to teach mathematics courses to a group of students they had never met before. Fifth-grade students do not deal with algebra and cannot use equations to…

The problem addressed in this study was the lack of blended learning used in secondary mathematics (Attard & Holmes, 2020) resulting in insufficient math instructional time and decreased student achievement (Tomal et al., 2021). The focus of this study is on how blended learning can provide teachers with opportunities to help maximize…

This paper shares a flexible activity for engaging people in mathematical inquiry that does not depend on fixed prior knowledge built on a famous property of Möbius strips. The discussion includes the implementation of the activity and its extensions, facilitator moves and common participant thinking, suggestions for adaptation and integration…

For the first time in 32 years, the national average scale score in mathematics dropped by seven points across the country in grades four and eight, according to the latest results of the National Assessment on Educational Progress (NAEP). The 2022 results in mathematics were staggering, in which "math performance fell for the first time in…

There are increasingly frequent calls for school mathematics curricula to be informed by robust research evidence. One approach to achieving this is designing evidence-informed learning and teaching resources for the classroom. In this paper, we reflect on our experiences of designing a free and fully resourced complete set of secondary…

This paper investigates the phenomenon of compartmentalisation of knowledge in the teaching and learning of continuous probability distributions and integral calculus at the secondary-tertiary transition in France. Using the Anthropological Theory of the Didactic (ATD), and in particular the key notion of praxeology, we investigate in which sense…

In high school, unit discs were all circular. Squares and diamonds were added to the list of shapes in a Real Analysis course and although more bizarre shapes appeared in graduate school, the list of possible shapes didn't appear endless. In this note, we'll show that unit discs can have almost any shape imaginable.

For over a decade, Which One Doesn't Belong? (WODB; Danielson, 2016) has been a beloved classroom routine that invites students to engage in mathematical decision-making and justification. In the WODB routine, four related figures are shown to students, and they are asked to decide which of them doesn't belong with the other three. The beauty of…