Educators continuously strive to meet the needs of at-risk students, and because of this dedication to student achievement, many special education programs are integrating the use of the graphing calculator within the classroom. Teachers are adapting their lessons to integrate calculators and calculator instruction. This study examined if the use…

The flipped classroom is a growing trend within the education field; specifically at the colligate level. When examining the flipped classroom, teachers assign students material to review prior to attending class. Such materials could be videos, lecture notes, reading assignments, or work/activity sheets. During class time, students collaborate…

In 2013, the 83rd Texas Legislature established the Foundation High School Program, which allows for significant local variation in graduation planning and represents one of the most substantial changes to Texas curricula in recent history. The new policy (HB5) lowered graduation requirements for mathematics, science and social studies;…

For over 40 years, an academic achievement gap has separated the Hispanic and White students in public schools on both national- and state-level standardized tests. The demographics in America have shown an increase in the Hispanic population in many states, especially Texas. This increase, which included the addition of many Hispanic families…

The exponential increase in the number of cases and number of affected countries of the novel coronavirus disease 2019 (COVID-19) brought significant change in the mode of instruction from face-to-face to distance learning among the different levels of education around the world. This descriptive-developmental method of study adopted the ADDIE…

At a large, diverse, hispanic-serving, master's-granting university, the Alma Project was created to support the rich connections of life experiences of science, technology, engineering, and mathematics (STEM) students that come from racially diverse backgrounds through reflective journaling. Utilizing frameworks in ethnic studies and social…

Background/Context: High school mathematics attainment has significant consequences for postsecondary and labor market outcomes (Altonji, 1995; Dougherty et al., 2017; Goodman, 2019; Kim, 2018; Long et al., 2012) yet enrollment in advanced courses (i.e., those requiring completion of Algebra II) is starkly stratified by race, class, and ethnicity…

We count the number of group homomorphisms between any two dihedral groups using elementary group theory only.

This article discusses preparation assignments used in a Calculus II course that cover material from prerequisite courses. Prior to learning new material, students work on problems outside of class involving concepts from algebra, trigonometry, and Calculus I. These problems are directly built upon in order to answer Calculus II questions,…

Many colleges are finding that the use of acceleration in developmental education is a promising direction for improved student progress toward a degree or certificate. Acceleration has been defined in the literature as the reorganization of curricula and instruction in ways that facilitate the completion of educational requirements in an…

In this paper, we present, analyse and critique an episode from a secondary school lesson involving an introduction to the definition of the scalar product. Although the teacher attempted to be explicit about the difference between a definition and a theorem, emphasizing that a definition was just an arbitrary assumption, a student rejected the…

Activities for Students appears five times each year in Mathematics Teacher, promoting student-centered activities that teachers can adapt for use in their own classroom. In the course of the activities presented here, students will "look for and make use of structure" by observing algebraic patterns in the power rule and "use…

A key aspect of learning algebra in the middle years of schooling is exploring the functional relationship between two variables: noticing and generalising the relationship, and expressing it mathematically. This article describes research on the professional learning of upper primary school teachers for developing their students' functional…

Action-Process-Object-Schema theory (APOS) was applied to study student understanding of quadratic equations in one variable. This required proposing a detailed conjecture (called a genetic decomposition) of mental constructions students may do to understand quadratic equations. The genetic decomposition which was proposed can contribute to help…

Fractions are known to be difficult to learn and difficult to teach, yet they are vital for students to have access to further mathematical concepts. This article uses evidence to support teachers employing teaching methods that focus on the conceptual understanding of the magnitude of fractions.