Linear algebra students are typically introduced to the problem of how to convert from one coordinate system to another in a very abstract way. Often, two bases for a given vector space are provided, and students are taught how to determine a transition matrix to be used for changing coordinates. If students are successful in memorizing this…

Linear functions are an important part of the middle school mathematics curriculum. Students in the middle grades gain fluency by working with linear functions in a variety of representations (NCTM 2001). Presented in this article is an activity that was used with five eighth-grade classes at three different schools. The activity contains 15 cards…

The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…

Graphing skills are growing in importance in our information society, presenting facts and concepts in newspapers, magazines, and on television. Graphs incorporated into teaching develop children's problem-solving skills. Ways to use graphs in the classroom are discussed, and examples are given. (MT)

Introduces a problem that can be used to help children develop graph sense. Involves two graphs of which students must determine which one applies to which situation. (KHR)

This book contains 40 lessons in problem solving divided into five chapters. Chapter 1 contains several lessons in which solutions are derived through investigation of numerical patterns. Chapter 2 contains lessons in which problem-solving situations are presented in a graphical context. It also includes two lessons in which students construct…

Reprints three items that appeared in the media that were developed into mathematical problems. Items include a commentary called Junk the Penny, a sale advertisement for a department store, and a sports column with statistics. Eighteen questions are provided along with answers. A graphing calculator is suggested for some problems. (PVD)

Procedures to help algebra students solve problems more efficiently are discussed, using linear programing graphs. (MNS)

Presents an activity, "Lisa's Lemonade Stand," that actively engages students in algebraic thinking as they analyze change by investigating relationships between variables and gain experience describing and representing these relationships graphically. (YDS)

Describes a series of lessons in which 6th grade students explore notions of rates of change and their effect on the shapes of graphs. Addresses aspects of the algebra content standard for the middle grades. (YDS)

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)

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…

Given is an example of the solution of maximum-minimum problems by replacing differentiation techniques with microcomputers and simple BASIC programs. (MNS)