High school calculus has become indispensable for students seeking a college degree in a STEM field. However, in the present study, we argue that the mathematics opportunities that students seize (when afforded) in middle grades are the key to earning calculus credit in high school. To take calculus in high school, students usually need to take…

Decades after the 1954 "Brown v. Board of Education of Topeka" unanimous decision to desegregate schools, the ideology of Black people having equal educational opportunities has not been realized; Black people continue to lag in educational attainment. However, the inequalities in life experiences between Black and White people limit the…

In the Czech Republic one of the key tasks of an education system is to ensure the financial literacy of citizens. Scarcely any topic of the school curricula is undergoing such rapid and frequent changes as the topic of financial issues. Therefore, its teaching requires new approaches that would dynamically respond to the current situation. This…

The Common Core State Standards for Mathematics (CCSSM) states that high school students should be able to recognize patterns of growth in linear, quadratic, and exponential functions and construct such functions from tables of data (CCSSI 2010). In their work with practicing secondary teachers, the authors found that teachers may make some tacit…

In this paper, an investment problem is investigated in terms of elementary algebra, recurrence relations, functions, and calculus at high school level. The problem comes down to understanding the behaviour of a function associated with the problem and, in particular, to finding the zero of the function. A wider purpose is not only to formulate…

In this study, the teacher candidates who learnt to find the algebraic equation corresponding to geometric structure of the ellipse in analytic geometry classes were requested to find the algebraic representations corresponding to the structures that contained ellipses in different positions. Thus, it would be possible to determine higher order…

This article presents a teaching proposal that emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. More concretely, these concepts were introduced using the notion of the moment of inertia of a rigid body and the GeoGebra software. The proposal was designed after observing architecture students…

A first-year algebra student's curiosity about factorials of negative numbers became a starting point for an extended discovery lesson into territory not usually explored in secondary school mathematics. In this article, the authors, math teachers in Massachusetts, examine how to solve for factorials of negative numbers and discuss how they taught…

Pre-service teachers (PSTs), like practising teachers, enact their mathematical content knowledge (MCK) in pursuit of instructional goals during lessons. In this study, I explored the relationship between six secondary mathematics pre-service teachers' goals and the MCK that they chose to enact in 10 lower secondary algebra lessons. The findings…

The Louisiana mathematics standards were created by over one hundred Louisiana educators with input by thousands of parents and teachers from across the state. Educators envisioned what mathematically proficient students should know and be able to do to compete in our society and focused their efforts on creating standards that would allow them to…

Two set of studies were conducted to better understand grades and grading practices in physics courses, and how these might influence demographic representational disparities in physics. The first study investigates the relationships between grades and the student-level factors of standardized test scores, (binary) gender, underrepresented…

In the study reported on here, we investigated the effects of the use of dynamic geometry software (DGS) (i.e., GeoGebra) on learners' learning and a teacher's beliefs. The learners and teacher involved in the study were from a high-poverty, rural high school in South Africa. We compared grade 11 learners (N = 56) who used GeoGebra in the context…

Psychologists and mathematics educators have long viewed flexibility as critical to students' mathematical development. In this paper, we focused on the multidimensional nature of flexibility to better understand how preference, knowledge, and use of effective methods for solving algebra problems are related. In Study 1, we identified…

Corequisite remediation involves placing students who have been designated as underprepared directly into college-level courses with concurrent supports--such as in-class tutoring, online learning labs, or a supplemental class--rather than making them take non-credit-bearing developmental courses first. Despite the growing number of studies on…

The Education Week Spotlight on Improving Math Fluency is a collection of articles hand-picked by editors for their insights on the importance of math fact fluency, the challenges students face with word problems, how teachers can optimize how they introduce math facts and better support students, how early math supports help vulnerable students,…