The purpose of this study was to investigate how students perceived their engagement in an experiential learning project with a focus on financial literacy within general education mathematics courses (skills, knowledge, attitudes, and behaviors). Specifically, the researchers were looking to investigate whether the completion of a finance project…

Exploring language provides us with one approach to better understanding the practices and beliefs of a community. With advances in technology--specifically, computational text processing and machine learning tools--we can now examine written language on a large scale. In this study, we investigate the language of mathematics teaching and learning…

The objective of this research is to identify the effectiveness of the GeoGebra program in developing academic achievement and ensuring survival of the learning impact of the mathematics among female secondary stage students. To achieve this objective, an experimental approach was applied. This consisted of a quasi-experimental design comprising…

In differential equations textbooks, the motion of a simple pendulum for small-amplitude oscillations is analyzed. This is due to the impossibility of expressing, in terms of simple elementary functions, the solutions of the nonlinear differential equation (NLDE) that models the pendulum, which is why the authors usually choose the linearized…

In modern times, the importance of education cannot be overstated. Beyond the acquisition of knowledge, perhaps the most important aim of education may be the development of character in individuals, including vitality, courage, sensitiveness, and intelligence, from which our society may experience increased prosperity, peace, and freedom. In this…

Reflections are presented on the first time flipping of an introductory Ordinary Differential Equations course. Assessment results, student motivation, and student attitudes are compared between flipped and traditional learning pedagogies in this course over two terms at a small technical university in the northeast United States. Assessments and…

Since problem solving became one of the foci of mathematics education, numerous studies have been performed to improve its teaching, develop students' higher-level skills, and evaluate its learning. While these studies usually study specific aspects of problem solving, further research is needed to understand how to address problem solving from a…

In this narrative essay, a mathematics teacher educator and a mathematics classroom teacher share their approaches and motivations behind introducing teachers and high school students, respectively, to the promises and challenges of mathematics taught from a social justice perspective. They conclude the essay by noting two preliminary pedagogical…

There is broad agreement that the choice of mathematical examples is central to the teaching of mathematics and that a teacher's choice of examples may either facilitate or impede learners' understanding. From this starting point it can be deduced that programmes of instruction for teachers should include the study of mathematical examples.…

As children progress through the elementary grades, they are expected to begin to use attributes of shapes to name and classify them. When listening to children talk about shapes, it becomes clear that the process of learning to reason geometrically is complex. Recognizing the complex nature of students' geometric reasoning, the authors present in…

Comparison is a powerful and important way that we learn. To support teachers in the use of comparison in their instruction, the authors developed an instructional routine called compare and discuss multiple strategies (CDMS). Similar to other instructional routines, CDMS is a structured, specific, repeatable minilesson that teachers can use to…

In this article, we examine spatial inscriptions marked in real or rendered spaces, rather than on two-dimensional surfaces, conceptualize spatial inscriptions from an inclusive materialist perspective and consider realizations of spatial inscriptions that are possible with emerging technologies (e.g. 3D pens, immersive virtual reality). We then…

The purpose of this project was to understand how implicit views of authority support or limit prospective elementary teachers' (PTs) mathematical activity of justifying and to understand how the experience of justifying might support a development of an internal source of authority. In this case study of 18 PTs, we coordinate an analysis of (1)…

This work seeks to understand the emergent nature of mathematical activity mediated by learners' engagement with multiple artifacts. We explored the problem solving of two learners as they aimed to make sense of fraction division by coordinating meanings across two artifacts, one being a physical manipulative and the other a written expression of…

Many educators and researchers advocate for student engagement in disciplinary activity. This is especially the case in advanced undergraduate courses taken by mathematics majors. In our respective design-based research projects, we found a need to better operationalize the activity of mathematicians in order to both plan for and document student…