Although much is known about the features that contribute to the effectiveness of professional learning activities these are often not incorporated into the design of professional learning initiatives. This paper describes a mathematics professional learning process that was carefully designed to incorporate such principles, and illustrates its…

This study examines the learning of a diverse team of five professional developers as they led or supported a mathematics initiative. Although teachers are typically the focus of learning in professional development, we contend that the learning of professional developers is important and should not be overlooked. We examined our learning as a…

This paper investigates the effects of a sustained professional development project in South Australia in which a small group of preschool educators worked with the authors to develop their own knowledge and skills in facilitating young children's mathematical learning. Through the development of an approach to pedagogy that linked the mandated…

There is a growing effort to make "proof" central to all students' mathematical experiences across all grades. Success in this goal depends highly on teachers' knowledge of proof, but limited research has examined this knowledge. This paper contributes to this domain of research by investigating preservice elementary and secondary school…

With the introduction of any new initiative into the mathematics classroom, there is often an assumption that it will produce visible and measurable effects in teaching approaches and pupil progress. Yet, there is a body of research that tempers such optimism, drawing attention to a series of mitigating factors, for example, the deep-seated nature…

This study explores the ways in which eleven preservice elementary teachers used a web-based teacher resource to apply a mathematical definition, to correct a procedural error in arithmetic, and to make sense of a story requiring the multiplication of fractions. In our analysis we propose a framework to compare the behaviors and values expressed…

Discusses the distribution of primes and focuses directly on one particular recurring pattern among them. (Author/NB)

Benjamin Banneker, a self-taught African American mathematician, kept a journal containing a number of mathematical puzzles. Explores four of these puzzles, 200 years later, with the aid of 21st century technology. (Author/NB)

Describes the use of a purposefully designed set of problems borrowed from a variety of critical thinking activity books and selected to motivate, excite, and engage students in the learning process. Helps students develop a deeper, more conceptual understanding of mathematics by incorporating these problems into a beginning algebra course.…

Presents the technique of mind mapping and points out its special fitting as a pedagogical tool for mathematics education. Discusses possible applications of mind mapping in mathematics education together with their advantages and limitations. (Author/NB)

Recounts a high school teacher's recognition of forces that impede the success of high school students in higher-level mathematics courses. (Author/NB)

Explores logarithms of negative numbers spurred by an unanticipated result given by a calculator. Shares the perspectives of the teacher and the teacher-as-learner. (Author/NB)

Discusses the merits of cooperative learning in the classroom and the effects of implementing cooperative learning in a high school geometry classroom. (Author/NB)

The values of a polynomial with integer coefficients can be computed using a graphing calculator, but it is impossible to see the formula itself. Suggests finding this formula from numerical data and describes the unusual way to solve this problem with one calculation only. (Author/NB)

Introduces the concept of function using graphs or pictorial representations of functions. Presents four activities for grade levels 8-14 that use the natural progression from qualitative graphs to quantitative graphs to tables to equations for introducing the theme of distance from an object as a function of time. (Author/NB)