The importance of developing reasoning and justification has been highlighted in "Principles and Standards for School Mathematics" (NCTM 2000). The Common Core State Standards for Mathematics (CCSSI 2010) further reiterates the importance of reasoning and proof in several standards for mathematical practice. Students of all grades are…

Practical decisions involving fuel economy are shown to require important skills from secondary school algebra and analysis. (MP)

The author describes a series of current economic ideas and situations which can be used in the mathematics classroom to illustrate the use of signed numbers, the coordinate system, univariate and multivariate functions, linear programing, and variation. (SD)

This two-volume set is a self-help student text designed as an alternative to the standard algebra text. Each lesson is introduced by and centered around an application of the topic under discussion. For each lesson, questions are given covering the reading, testing understanding of the reading, and for discussion. Some sections contain questions…

Outlines two experiments by which several different mathematical topics can be integrated into the unifying theme of oscillating pendulums, as part of a secondary school Algebra II and Trigonometry class. (CS)

The construction and use of monochords is presented as a means of presenting students with an unusual and stimulating path to learn about the relationships of music and mathematics. Knowledge related to ratios, logarithms, and application of algebra is noted to be part of this relationship. (MP)

Annual records of the one-mile sun can be used to introduce a variety of statistical ideas including the scatter diagram, theoretical vs. observed values, and normal equations. (SD)

Activities in which the claims of psychics are evaluated can be used in probability classes. (SD)

The curriculum guide for Albegra 2 correlates algebraic concepts with career-oriented concepts and activities. The curriculum outline format gives the concepts to be taught, matched with related career-oriented performance objectives, concepts, and suggested instructional activities in facing page layouts. The suggested curriculum outline is…

An inconsistency between American and British accounting methods led the author to this problem whose solution involves linear equations and geometric series. (SD)

A review lesson based on a sports car rally is described and illustrated. It teaches detailed map reading as well as providing drill on any subject desired. Pairing students is beneficial for several stated reasons. Some students may design their own rally for presentation to the class. (Author/KM)

Set concepts are used in this story about a swimming excursion in France, with "real" applications of mathematics presented. (MNS)

The determination of an equation for predicting grade point averages of college freshmen is given as an application of solving simultaneous equations. (MP)

Presented are eight student worksheets of block problems. Included are diagrams of the squares and hollow squares involved and a separate answer sheet for the problems. (CW)

Students were given the problem: Given a deck of cards in a certain order, after how many shuffles will it return to its original order? They worked with small decks of cards to develop a general formula, but were unhappy with the results. (SD)