Empirical studies demonstrate that students have some difficulties with the mathematical modeling process. Studies contain various applications for developing students' modeling competencies. This study investigated video-based modeling tasks' impact on modeling competencies with a descriptive design. In this context, it aims to compare…

We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

Music provides an excellent setting for students to explore trigonometric functions in a setting which is independent of their utility in resolving triangles. In this paper, we present several investigations using trigonometric functions to model musical phenomena. From a mathematical technology point of view, most examples require only function…

Many scholars have argued that mathematics classrooms often offer narrow conceptions of mathematical excellence, recognizing only some kinds of thinking and some kinds of people as valuable, and conflating mathematical aptitude with overall intelligence. Play offers the potential to disrupt such classroom mathematical practices, by offering new…

Spatial ability is a multifaceted construct with demonstrated ties to success in mathematics and gesture production. Recent empirical work has also begun investigating whether targeted interventions for spatial ability can transfer to mathematics but are often limited to specific populations and specific math outcomes. Spatial anxiety has been…

This study explored the math course taking patterns of Nebraska's secondary students from 2014-2020 using statewide data. Three course taking patterns were identified and examined. There are nuanced differences through these pathways based and race and gender. Student success through the pathways is dependent on course placement in the first year…

With democracy in mind, promoting students' cognitive, personal, and social development can inform and shape the mathematics curriculum and classroom practice with the goal of their becoming more capable, self-reflective, and socially aware human beings. Toward that realization, their mathematics experience could include: heuristics, as it…

Math-anxious people consistently underperform in math. The most widely accepted explanation for "why" this underperformance occurs is that math-anxious people experience heightened anxiety when faced with math, and this in-the-moment anxiety interferes with performance. Surprisingly, this explanation has not been tested directly. Here,…

An elementary method to calculate the area, centroid and volume of rotation of the Koch curve is presented. Classroom extensions are provided to allow students to investigate the method used.

In the third of a series, the author describes how symmetrical quintic functions can be expressed in three equivalent formats--like other symmetrical functions. Quadratic functions have a line of symmetry through their vertex and cubic functions have 1800 rotational symmetry around their point of inflection. However, polynomial functions of degree…

There is a strong relationship between the quality of education, teachers' decisions and instructional actions, and knowledge. All of them have an important role outcome of the lesson and students' learning. The focus of this study was to discover how the process of students' learning or incapability of learning was affected by teaching practices.…

The reasons for teaching programming in school are indeed manifold. Programming can for example be utilized as a vehicle for understanding and learning particular mathematical subject matter, or as a tool for solving mathematical problems. In this paper, however, we propose to utilize programming as a vehicle for developing mathematical…

This study investigated the effect of the motor game 'Exchequer Motor Game' (EMG) on first-grade children's Level of Geometric Thinking (LGT) and their post-learning mood tracking (PLMT). Thirty children (age 6.1 ± 0.7 years; physical education experience: 0.6 ± 0.4 years), classified at the "Visualization" stage of van Hiele's geometric…

Teacher questioning impacts the level of student thinking that occurs during mathematical instruction. It is important to investigate how questioning is developed in secondary mathematics methods classes so that these environments can support the development effective questioning strategies. This article explores how two preservice teachers use…

With more higher education courses being offered online, the design of the learning environment is an essential component of the educational experience. However, not all online learning environments facilitate student engagement. This paper describes the redesign of two online Initial Teacher Education courses in a regional university, using the…