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…

Manipulative-based instructional sequences have proven to be successful with students with disabilities. However, instruction must not only support the acquisition of conceptual and procedural knowledge but also build on students' strengths. This article describes how teachers can use manipulative-based instructional sequences to support the…

In the current article, the authors outline ways for early childhood educators, such as general and special education teachers, district math coaches, and other personnel involved with school- and district-level math initiatives, to engage caregivers in home math activities, with a focus on concepts already taught in school and aligned with…

This dissertation investigates how early career teachers' orientations of students and their mathematical activity, as surfaced their experience in a simulation, can reveal when their well-intentioned decisions might negatively impact traditionally underserved students. Three early career teachers engaged in two online simulations where they could…

There is growing evidence that the ability to perceive structure is essential for students' mathematical development. Looking at students' structure sense in basic numerical and patterning tasks seems promising for understanding how these tasks set the foundation for the development of later mathematical skills. Previous studies have shown how…

This study concerns the cognitive process of mathematical problem posing, conceptualized in three stages: understanding the task, constructing the problem, and expressing the problem. We used the eye tracker and think-aloud methods to deeply explore students' behavior in these three stages of problem posing, especially focusing on investigating…