This article describes some problems of the maximum/minimum type, which are generally solved using calculus at secondary school, but which here are solved algebraically. We prove six algebraic properties and then apply them to this kind of problem. This didactic approach allows pupils to solve these problems even at the beginning of secondary…

This article analyzes the challenge of counting the number of rectangles of all sizes in the n-tableau and to provide a combinatorial reason for the answer. The authors present a solution on enumerating rectangles in the n-tableau using Grassl and Mingus results. The authors demonstrate their conjecture for the n-tableau and attempt to apply their…

Content area literacy is a growing trend across the entire secondary school curriculum. Science, history, physical education, and mathematics teachers are being required to teach reading comprehension in their classrooms. Many resources are available to aid students' prereading, reading, and postreading skills. Typical activities include KWL…

Middle school is a crucial transition period for students as they move from concrete to algebraic ways of thinking. This article describes a sequence of instruction geared toward helping prospective middle school instructors teach the topic of percentages.

Current debates about successful mathematics pedagogy suggest that mathematical learning and problem solving can be enhanced by using metaphors as they provide students with a tool for thinking. But assisting pre-service teachers to understand the importance of careful and accurate explanations for mathematical concepts remains an issue. This…

Federal legislation has attempted to move career and technical education (CTE) from a segregated component of the high school curriculum to an integrated element that jointly improves both academic and career readiness. However, concerns remain about the ability of CTE to improve academic learning. Using a nationally representative sample of high…

This ethnographic study investigated teacher leadership and professional learning in a secondary mathematics department. Qualitative data were collected through in-depth face-to-face interviews, observations, and document analysis. It is the social aspect of the school environment and specifically, the subject department, which presents an…

The consequences of failing core academic courses during the first year are dire. In Chicago, over a quarter of students fail at least one semester of algebra in their ninth grade year, and only 13% of students who fail both semesters of Algebra I in ninth grade graduate in 4 years. Offering credit recovery options is one strategy to deal with…

Question asking is an important part of the learning process. One of our goals as educators is to encourage students to ask questions that focus on developing conceptual knowledge. To do this, we first need to better understand the factors involved in student question asking. This study looks in depth at one high school mathematics teacher who…

This study examined the impact of the one-to-one laptop initiative on teacher perceptions of instructional delivery and student engagement in middle school mathematics. Teacher perceptions of the initiative vary. Several school districts in North Carolina have implemented the initiative and are examining the impact it has on teaching and learning.…

In this article the concept of the Didactic Contract is used to investigate student "transition" from upper secondary into university mathematics education. The findings are anchored in data from the TransMaths project, more particularly the case of an ethnic minority student's journey from his school to a university mathematics course…

This study is based on our belief that mathematics should be challenging in any classroom and that mathematical challenge is among the central factors that determine the quality of mathematics lessons. Choosing challenging mathematical problem for the students is central in teachers' work while their conception of mathematical challenge can…

In 2011, the Bill & Melinda Gates Foundation extended grants to three educational organizations working to develop or enhance competency-based approaches in large, urbanized school systems. The grant initiative, called Project Mastery, funded the development of technology-enhanced tools, including curriculum materials and online learning…

In 2011, the Bill & Melinda Gates Foundation created the Project Mastery grant program to support competency-based education initiatives in large school systems that serve a high proportion of disadvantaged youth. Competency-based education meets students where they are academically, provides students with opportunities for choice, and awards…

Research demonstrates that students' success in rigorous middle and high school math courses is positively associated with their admission to college, earnings later in life, and career prospects. The sequential nature of math course-taking, however, can create an opportunity structure that puts certain students at a disadvantage, specifically…