Presents an activity that uses square-foot tiles as a coordinate system on which human geometric models are constructed. (ASK)

Discusses the benefits of learning the history of mathematics and how it can be useful in teaching as well as interesting. Provides information on how to put mathematics in its historical context, show the interaction of mathematics with cultures, and shed light on the teaching and learning of mathematics. (Contains 25 references.) (ASK)

Presents activities that allow students to explore alternative voting methods and discover the advantages and disadvantages of each method. Features the statement and proof of Arrow's theorem which requires only basic arithmetic and allows students to engage in high-level mathematical thinking. (ASK)

Active involvement and infusion of mathematics into familiar, everyday experiences are essential elements in challenging students to engage in true thinking. Presents an investigation on graphing that touches on all representations including tables of values, graphs, and verbal descriptions. (ASK)

Describes students' investigative work that resulted from playing the game Set in an attempt to show how such games can be used to develop mathematical reasoning. (ASK)

The mathematical depth that is potentially present, even in simple problems is illustrated. An extended analysis of a problem that is an analysis from a mature mathematical perspective with careful attention paid to mathematical reasoning and to using good mathematical habits of mind is used.

A problem on a state's high school exit exam asked for the longest straw that would fit in a box. The examiners apparently wanted the length of a diagonal of the box, but the figure accompanying the question suggested otherwise--that the radius of the straw be considered. This article explores that more general problem.

An engineering professional argues that the graphing calculator is simply a pedagogical tool no more useful than the answer key in the mathematics text.

A variety of applications of logarithms are presented along with suggestions about how this topic might be made more interesting and relevant in a secondary classroom. In most cases, the treatment is multi-modal using numerical, graphical and algebraic approaches.

In this work, we present an algorithm for computing logarithms of positive real numbers, that bears structural resemblance to the elementary school algorithm of long division. Using this algorithm, we can compute successive digits of a logarithm using a 4-operation pocket calculator. The algorithm makes no use of Taylor series or calculus, but…

In a mathematical examination on paper, partial credit is normally awarded for an answer that is not correct, but, nevertheless, contains some of the correct working. Assessment on computer normally marks an incorrect answer wrong and awards no marks. This can lead to discrepancies between marks awarded for the same examination given in the two…

Students are asked to analyze a photo of a beer stein, computing volumes and areas based on the photo.

Implications of the no-news no-change approach and student perceptions extends beyond the Monty Hall problem to two other situations in which the underlying concepts are similar.

We describe the design of a sequence of spreadsheet-based pedagogic tasks for the introduction of algebra in the early years of secondary schooling within the Purposeful Algebraic Activity project. This design combines two relatively novel features to bring a different perspective to research in the use of spreadsheets for the learning and…

This narrative case study of a Black female middle grades mathematics teacher in an urban school provides an in-depth look at one teacher's life story, resilience, and teaching practices in a racialized environment. The study gives particular attention to the factors that contributed to her strength and resilience: family and faith. This view of…