This discussion of ways to use spirolaterals in the classroom includes making conjectures, hypotheses testing, and proofs, as well as a number of examples. (MP)

Presents an approach that combines the discovery method with graphing skills and allows students to uncover scientific laws on their own. Attempts to make the discovery method more quantitative while still teaching students how to think scientifically. (JRH)

Emphasizes the commonalities among classes of polynomial functions. Provides exploratory activities for students as well as a teacher's guide. (KHR)

Illustrates the contrasting thinking processes of two beginning calculus students' geometric and analytic schemes for the derivative function. Suggests that teachers can enhance students' understanding by continuing to demonstrate how different representations of the same mathematical concept provide additional information. (KHR)

Explores strategies in the situation of a runner trying to evade a tackler on a football field. Enables the student to test intuitive strategies in a familiar situation using simple graphical and numerical methods or direct experimentation. (JRH)

Described is how the crumpling of paper balls exhibits the concept of a topological dimension similar to fractals. The mass of the crumpled paper ball is found to be proportional to its diameter raised to a nonintegral power. (KR)

An exercise which relates particle scattering and the calculation of cross-sections to answer the following question--"Do you get wetter by walking or running through the rain?"--is described. The calculations used to answer the question are provided. (KR)

Since 1995, astronomers have discovered over 100 known exoplanets--planets outside of the solar system--and determined their properties such as mass, orbital distance, size, and density. By using simple algebraic equations of physics, students can determine these properties as well. In this article, the author discusses an activity titled…

The students need not compute dependent values required in making line graphs but to teach the students the usage of graphing calculator to plot, calculating and graph linear equations, which are best suited to real world data. In this initial learning process, the teacher should give minimum support to the students in arriving at a solution as…

This study uses the context of the weather to explore the development of students' intuitive ideas of variation from pre-Grade 1 to Grade 9. Three aspects of understanding these intuitions associated with variation are explored in individual videotaped interviews with 73 students: explanations, suggestions of data, and graphing. The development of…

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.

This paper analyses technology-based instruction on data-analysis with box plots. Examples of instruction taken from the research literature inform a study of two classes of 17 year-old students (upper secondary) in which the mathematical relationships that their teachers targeted are distinguished as being, or not being, relevant to statistical…

This case study investigated the impact of a spreadsheet (EXCEL) exploration on the understanding of statistical graphs among twenty Singapore secondary school students of average ability. Four EXCEL templates were constructed to allow students to explore four aspects of statistical graphs: zero in scale, effect of different scales, size…