In this article, Jason Taff shares an approach that he presented to advanced seventh-grade prealgebra students. He begins by summarizing some of the shortcomings of equating the order of operations concept with the PEMDAS (often rendered mnemonically as "Please Excuse My Dear Aunt Sally") procedure with the hope of helping teachers at…

For many students, making connections between mathematical ideas and the real world is one of the most intriguing and rewarding aspects of the study of mathematics. In the Common Core State Standards for Mathematics (CCSSI 2010), mathematical modeling is highlighted as a mathematical practice standard for all grades. To engage in mathematical…

This article illustrates the use of comparison as an instructional approach that can help students develop and use a variety of problem-solving strategies and approaches in the mathematics classroom. Through comparison of solution strategies, students deliberately consider the similarities and differences among methods and how different strategies…

How 125 seventh graders had three days of hands-on computer experience is described in some detail. Computer programs are included. (MNS)

Discussed are trends in performance across the last three National Assessment of Educational Progress (NAEP) mathematics assessments for students in grades 7 and 11, and reports on indicators of instructional activity. The results suggest that achievement in mathematics has taken a modest upturn in the 1980s. (MNS)

An activity involving the charting of the spread of a disease is described. Arrows are used to develop models of the progression of the disease. (MNS)