This study examines Grade 9 students' mathematics achievement and cognitive engagement under three different instructional approaches: traditional learning, flipped learning with gamification, and online independent study with gamification. The duration of the study lasted an entire school year. The central theories underpinning flipped learning…

This article reports findings from a one-year evaluation of a kindergarten math enrichment program. A randomized design was used to assess the impact of High 5s on children's math skills, attitudes towards math, language ability, and executive function for a sample of kindergarten students in New York City. High 5s math clubs were designed to…

Many ways exist to engage students without detracting from the mathematics. Certainly some are high-tech options, such as video games, online trivia sites, and PowerPoint® presentations that follow the same model as Jeopardy; but sometimes low-tech options can be just as powerful. One exciting way to connect with students is by incorporating…

When students work with a non-Euclidean distance formula, geometric objects such as circles and segment bisectors can look very different from their Euclidean counterparts. Students and even teachers can experience the thrill of creative discovery when investigating these differences among geometric worlds. In this article, the author describes a…

Whereas equity issues are mainly discussed with respect to students at risk, this article focuses on mathematical potentials of under-privileged students and therefore elaborates a wide, dynamic and participatory conceptualization of (sometimes still hidden) mathematical potentials. An extended research review theoretically and empirically grounds…

Many middle school students approach math with caution, often trepidation, and generally less-than-complete confidence. Several factors contribute to their views of what math actually is (a system of rules to follow and formulas to apply) as well as who might be good at it (people who can see the path to an answer and calculate quickly). A few say…

The purpose of mathematics competitions, and in our case the South African Mathematics Olympiad (SAMO), is to promote problem solving skills and strategies, to generate interest and enthusiasm for mathematics and to identify the most talented mathematical minds. SAMO is organised in two divisions--a junior and a senior division--over three rounds.…

Double-dosing in math expands the time for students to learn by having them enroll in two (or occasionally more) math courses during the regular school day. Although the practice can take different forms and be used at different grade levels (Chait, Muller, Goldware, & Housman, 2007; Nomi & Allensworth, 2009), most research on…

Students are immersed in a mathematically intensive, technological world. They engage daily with iPods, HDTVs, and smartphones--technological devices that rely on sophisticated but accessible mathematical ideas. In this article, the authors provide an overview of four lab-type activities that have been used successfully in high school mathematics…

This article will describe two activities in which students conduct experiments with random numbers so they can see that having at least one repeated birthday in a group of 40 is not unusual. The first empirical approach was conducted by author Cauto in a secondary school methods course. The second empirical approach was used by author Flores with…

To understand heterogeneity in the effects of double-dose algebra across schools, the authors focus on two policy implementation features and their variation across schools. The first source of variation is the degree to which schools followed the cutoff-based course assignment policy. The second source of variation is the degree to which schools…

Imagine two classfuls of American high school students, separated by 1,500 miles and profound differences in local cultures (East Coast urban and Midwestern rural) as they correspond and collaborate in writing between their geometry classes. Reading the students' observations, one sees authentic voice, specific detail, precise language, what…

This intervention study compared the efficacy of small-group tutoring on the mathematics learning of third-grade students at risk for mathematics difficulty using either a school-provided standards-based curriculum (SBC) or a schema-based instruction (SBI) curriculum. The SBI curriculum placed particular emphasis on the underlying mathematical…

This past May, the author was more dismayed than surprised to read the "New York Times" article about the scores of parents who are enrolling their three- to five-year-olds in Junior Kumon enrichment programs. As some parents interviewed for the article expressed, their motivation in doing so was either to keep their children from falling "behind…

The present study investigated the effectiveness of a cognitive enrichment programme as a tool for enhancing the chances of immigrant and minority students to be admitted to a technological college. Students received two weekly sessions (four hours) of "Instrumental Enrichment" (IE) during the second semester of the college preparatory…