Achievement gaps in mathematics between middle and high school Black students when compared to their white peers exist in part because of access, but also because Black learners' brilliance is not recognized. Finding ways to help students, especially Black students, become successful mathematical problem solvers was a driving force behind this…

Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…

As a self described lesson collector, author Charles Lovett enjoys gathering "interesting" lessons and teasing them apart to find out what makes them "tick", particularly the pedagogy. He often wonders what decisions the teacher made that generated such an interesting and successful learning environment. Here he describes a…

Many developed nations have a serious problem with a shortage in the supply of numerate graduates, fuelled by their school students' negative attitudes towards their future study of mathematics. At the same time, the smart phone and other personal sensing technological devices are becoming commonplace amongst students in schools and universities.…

A familiar Christmas song described as a second-year algebra problem is presented in "The Twelve Days of Christmas". Five strategies for solving inequalities are discussed in "Solving Algebraic Inequalities". (JT)

Criticizes the DPPC Method (Direct, Pure, Piecemeal, and Complete) of mathematics instruction which is designed to enable the lower ninety percent to become proficient in problem solving. Suggests that this method is deceptive since students learn to follow a prescribed recipe rather than becoming problem solvers. (JR)

Increased interest in mathematical problem solving and in the development of problem-solving ability have demanded that mathematics educators give greater attention to problem-solving instruction. A four-step model for solving problems is followed by sets of suggestions for instructional use. (MP)

The demise of mathematics of finance as a subject is discussed and a resurgence is seen as possible, but the traditional instructional presentation is seen as in need of modernization. Financial mathematics is referred to as a beautiful subject when inflation is incorporated, provided that calculators are used in computations. (Author/MP)

It has been found that students gain much greater insight into routine calculations with business formulas when such work is viewed in the light of graphing concepts. Ten problems are presented that illustrate how three specific objectives in a unit on graphing in a business mathematics course have been met. (MP)

These materials were developed in response to the Utah State Board of Education's new high school graduation requirements, particularly as they relate to the identification, teaching, and assessment of certain basic functional competencies. The document has been compiled as a guide and aid to mathematics teachers. Thirty competencies have been…

A special topics elective course is described. The rationale and organization are discussed and examples of course content and student achievement are presented. (MP)

The Weight Problem of Bachet de Meziriac is described, which looks for four integral weights to measure every amount between one and forty kilograms. Discussed are generalizations of the problem and analogous problems, solutions of particular cases, and a solution of the general problem. (MP)