Describes a teaching method in which students learn about evolutionary biology through the use of mathematics. Uses the concept of biostatistics, the mathematical analysis of the variation in nature, to understand evolution. (SAH)

Outlines a few classroom applications of mathematics using commercial internet sites such as internet banking, house plans, garden watering systems, and industrial awards. (ASK)

Discusses the changing perceptions of numeracy in a changing world, and puts forward arguments for integrating calculator use into the earliest school years. (Author/ASK)

Explains the use of a Sun Tower in different activities at elementary grade levels while addressing national and state science standards. Shows the movement and motion of the sun in the sky. Introduces an activity that includes the sun tower in which students observe the changes of shadows every half hour. (YDS)

Demonstrates the logical relationship between percentage composition and an empirical formula using a technique that depends on determining a minimum molar mass for the compound based on the mass percent of each element. (DDR)

Explores simple equations such as the exponential decay function, a terminal velocity situation, and the more complex situations of the simple harmonic oscillator and damped oscillations. (Author/CCM)

Offers information about the International Baccalaureate Organization (IBO) which provides educational programs in over 800 schools throughout the world. Describes four mathematics subjects offered in this program and the assessment of mathematics in the International Baccalaureate. (Author/ASK)

Addresses the role that so-called emergent models can play in the process of constituting formal mathematics. Describes how the use of these models became more explicated over time and developed into the notion of emergent models. Uses the design of instructional sequence for flexible mental strategies for addition and subtraction as an example…

Media Clips aims to offer readers contemporary, authentic applications of quantitative reasoning based on print or electronic media. Clips may be in text or graphic format, and clip sources may be either print or electronic media.

Simon's (1995) development of the construct of hypothetical learning trajectory (HLT) offered a description of key aspects of planning mathematics lessons. An HLT consists of the goal for the students' learning, the mathematical tasks that will be used to promote student learning, and hypotheses about the process of the students' learning.…

Using the power series solution of a differential equation and the computation of a parametric integral, two elementary proofs are given for the power series expansion of (arcsin x)[squared], as well as some applications of this expansion.

This paper proposes a genetic development of the concept of limit of a sequence leading to a definition, through a succession of proofs rather than through a succession of sequences or a succession of epsilons. The major ideas on which it is based are historical and depend on Euclid, Archimedes, Fermat, Wallis and Newton. Proofs of equality by…

Stock car racing has seen tremendous growth in popularity in recent years. We introduce two datasets containing results from all Winston Cup races between 1975 and 2003, inclusive. Students can use any number of statistical methods and applications of basic probability on the data to answer a wide range of practical questions. Instructors and…

This article outlines an engineering problem requiring the use of a specialized trigonometric formula, and offers an answer to that age-old classroom question, "When are we gonna have to use this"?

In 4 experiments, the authors explored the role of visual layout in rule-based syntactic judgments. Participants judged the validity of a set of algebraic equations that tested their ability to apply the order of operations. In each experiment, a nonmathematical grouping pressure was manipulated to support or interfere with the mathematical…