Every day, people use data to make decisions that affect their personal and professional lives, trusting that the data are correct. Many times, however, the data are inaccurate, as a result of a flaw in the design or methodology of the survey used to collect the data. Researchers agree that only questions that are clearly worded, unambiguous, free…

Every day, students collect, organize, and analyze data to make decisions. In this data-driven world, people need to assess how much trust they can place in summary statistics. The results of every survey and the safety of every drug that undergoes a clinical trial depend on the correct application of appropriate statistics. Recognizing the…

For almost all students, what happens when they push buttons on their calculators is essentially magic, and the techniques used are seemingly pure wizardry. In this article, the author draws back the curtain to expose some of the mathematics behind computational wizardry and introduces some fundamental ideas that are accessible to precalculus…

How can statistics clearly be mathematical and yet distinct from mathematics? The answer lies in the reality that statistics is both an art and a science, and both aspects are important for teaching and learning statistics. Statistics is a mathematical science in that it applies mathematical theories and techniques. Mathematics provides the…

For thousands of years before the invention of reliable clocks, humans measured their days by the motion of the sun. Astronomically, one day was the length of time it took for the sun to return to the same position in the sky. With the advent of precise mechanical chronometers such as Harrison's timekeepers (Sobel and Andrewes 1998), which ran at…

This article highlights a project that encourages students to connect reading and mathematics instruction by using a data analysis approach. Students analyze sonnets from statistical, literary, and historical points of view in an effort to uncover the true identity of William Shakespeare. (Contains 10 figures.)

Data analysis may be a way to help bridge the gap between what students learn in school and their everyday experiences and concerns and thus to enrich their school experiences. This link is important when dealing with data analysis because "data are not just numbers, they are numbers with a context... in data analysis, context provides…

A project that mixes algebra with data collection, uses technology, extends into data analysis, and cooks marshmallows can excite both teachers and students. This article describes a project that intends to pique students' interest in higher mathematics, incorporate their knowledge of parabolas, and offer a meaningful mathematics experience. Using…

The author and his first-year algebra students explored the quadratic behavior behind the parabolic shape of fountains at the local family splash park. This hands-on discovery project has three main parts: (1) gathering data by experimenting with and photographing the fountains; (2) analyzing the photographs to obtain numerical data; and (3)…

The article explores the author's learning as she interviewed students who participated in a data analysis unit. The article features students' comments and raises issues that are pertinent to supporting students' understandings of data analysis and their views of their own mathematical capabilities. (Contains 1 figure.)

The Fundamental Theorem of Calculus is discovered based on the use of data analysis techniques applied to a variety of common families of functions. (Contains 8 figures and 6 tables.)

Data analysis plays a prominent role in various facets of modern life: Schools evaluate and revise programs on the basis of test scores; policymakers make decisions on the basis of information gleaned from polling data; supermarkets stock shelves on the basis of data collected at checkout lanes. Data analysis provides teachers with new tools and…

The article describes the harmonic mean and explores situations for using it. Activities that involve hands-on practice for students are provided. Students learn to recognize which mean, harmonic or arithmetic, is appropriate.

The generalization of the solitaire checker puzzle and the attractive patterns that emerge during the process of solving the puzzle, as well in analyzing the minimal solutions of various cases are discussed. Both linear and quadratic patterns are intrinsically linked to this game and the shift from one to the other involves only a slight change…

The Data Driven Mathematics Curriculum Project has produced 11 modules for use in grades 8-12. The modules integrate data analysis using real applications into the teaching of traditional mathematics topics. The data-analysis skills build connections between mathematics and other subjects and also outside the classroom. (AIM)