Building sets, video games, and scatterplots may seem unrelated, but when they are combined into a problem-based learning (PBL) lesson, these elements join to create a unique learning experience. PBL lessons drive instruction by focusing learning and activities around a central challenge or question while providing a relevant, captivating, and…

What better way to interest students in mathematics than using a Super Bowl® commercial? A Prudential® insurance commercial aired during the Super Bowl in 2013 was the impetus for this lesson (see it here on You-Tube™: http://www.youtube.com/ watch?v=IsNiKGMSHUQ). In the commercial, four hundred people were polled on "How Old Is the Oldest…

This article describes an exciting exploration-based activity in which students develop an alternative definition of factor that can help them solve problems like the one presented above. Students work in groups to collect data, analyze the data to make conjectures, and then spend a significant amount of time debating and justifying their…

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…

When teaching algebra concepts to middle school students, the author often hears questions that echo her own past confusion as a young student learning to write linear equations using data tables that show only input and output values. Students, expected to synthesize the relationship between these values in symbolic representation, grow…

Mathematics and science are natural partners. One of many examples of this partnership occurs when scientific observations are made, thus providing data that can be used for mathematical modeling. Developing mathematical relationships elucidates such scientific principles. This activity describes a data-collection activity in which students employ…

Stephanie Whitney teaches in the department of teacher education at DePaul University in Chicago, Illinois. Her interest is in how students reason and make sense of mathematics, and how teachers can promote this behavior. Students should engage in reasoning and sense making daily in their mathematics classes. It is often through students'…

The game of Plinko offers students an exciting real-world example of the applications of probability and data analysis. The Common Core State Standards for Mathematics (CCSSI 2010) and the Guidelines for Assessment in Statistics Education (GAISE) (Franklin et al. 2007) suggest that students in grades 6-8 be given ample opportunities to engage in…

Middle school mathematics classrooms are changing. The curriculum has changed as well. Instead of an annual return to previously encountered topics, many middle school students encounter mathematics of a varying nature, characterized in "Principles and Standards for School Mathematics" (NCTM 2000) as the five Content Standards of Number and…

Reasoning and sense making are at the heart of mathematics teaching and learning throughout the K-12 mathematics curriculum. Focusing on these skills gives students the opportunity to analyze, interpret, and critically think about the mathematics they learn. The terms "reasoning" and "sense making" are frequently used to describe the wide range of…

To promote math and science, this author designed an activity to show students that biomedical fields are within their reach. The activity has three distinct goals: (1) To introduce the field of biomedical engineering to students and encourage them in these career pursuits; (2) To give them hands-on experience conducting a biomechanical test; and…

This article describes a lesson unit in which students constructed tables and graphs to represent the growth of different trees. Students then compared the graphs to develop an understanding of slope.

This article explores the mathematics involved in the NCAA basketball tournament including data analysis, basic probability, expected value, and the multiplication principle. A fun activity is presented that applies these concepts and involves students shooting Ping-Pong balls to discover a best strategy. (Contains 3 tables and 3 figures.)

Focuses on communication in teaching statistics. Describes a classroom in which students developed statistical understanding of exploratory data analysis. (KHR)

Describes an inquiry activity in which students explore the variables that influence the amount of time it takes a ball to roll down an inclined plane. Relates features of the activity to recommendations in the NCTM Standards. (MKR)