"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

Emperor penguins, the largest of all the penguin species, attain heights of nearly four feet and weigh up to 99 pounds. Many students are not motivated to learn mathematics when textbook examples contain largely nonexistent contexts or when the math is not used to solve significant problems found in real life. This article's project explores how…

Motivating middle school students to learn can be challenging. One proven method for doing so is through an integrated curriculum. Educational philosophers and curriculum theorists have long noted the benefits of an integrated curriculum, which recognizes that the subject areas within the curriculum are connected to one another and to the real…

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…

"Mathematics is more than skills... it is also the excitement of discovery." This is how Derek Holton, one of the contributing authors to this book, defines mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to delight mathematics teachers at all stages: experienced and inexperienced;…

Discusses students' exploration of a particular rational function in the context of people waiting in line for service. The concepts of domain, range, and asymptotes are also developed in that context as is the effect of changes in input variables on function outputs. (Author/NB)

An investigative activity dealing with where to pitch a tent at a campsite is described. (MNS)

Techniques for teaching linear regression are provided. Discussed are leverage and the hat matrix in simple regression, residuals, the notion of leaving out each observation individually, and use of this to study influence on fitted values and to define residuals. Finally, corresponding diagnostics for multiple regression are discussed. (MNS)

Least-squares line fitting is developed without calculus. Its rationale and an example with consumption patterns are provided. (MNS)

Presents an educational game on probability that can be the starting point for an open-ended statistical project. (ASK)

An approach to using the method of least squares, a scheme for computing the best-fitting line directly from a set of points, is detailed. The material first looks at fitting a numerical value to a set of numbers. This provides tools for solving the line-fitting problem. (MP)

Discusses a method that uses spreadsheets to calculate the exact distribution of the sum of two or more discrete random variables with arbitrary distributions. Demonstrates how this method can be used to investigate several problems that would be found interesting at the elementary level. (Author/ASK)

Encourages students to use reasoning and quantitative problem-solving skills to discover the solution to an important practical problem related to absolute-value function and statistical median. (ASK)

Solutions to a problem on seating arrangements and one on a box-office situation are discussed; a statistical approach is used. Four computer programs are included. (MNS)

Details are provided of a program on actuarial training developed at the State University of New York (SUNY) at Binghamton through the Department of Mathematical Sciences. An outline of its operation, including a few statistics on students in the program, is included. (MP)