Data Collection Activities in Algebra 1
Algebra has long been taught in the same way. This usually means teachers rely heavily on the textbook. Though some textbooks have changed in recent years, the central focus is till on paper and pencil, memorization of rules, and use of algorithms. The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) asks mathematics teachers to seek activities that “model real-world phenomena with a variety of function” and “represent and analyze relationships using tables, verbal rules, equations, and graphs”. The standards also urge teachers to give students the opportunity to be actively involved in math through data analysis and statistics that are integrated into the curriculum. My hope is to show that these types of activities can be incorporated into an algebra I course as a way of teaching slope, y-intercept, and linear equations. I plan to teach a unit on linear equations during the third nine weeks of an eighth grade algebra I course next semester. The project will begin with one class learning the material typically covered in most algebra textbooks. I do not plan to pretest the students because this is new material for them. This class will also go to the computer lab and complete a lesson on the computer covering linear equations. In addition, they will work in pairs using T1-82 graphing calculator to explore slope and y-intercept. All of these methods are what I have typically taught over the past 5 years. Another eighth grade class will be given several data collection activities as a unit of study for linear equations. The primary resource for this class will be Algebra Experiments I by Mary Jean Winter and Ronald J. Carlson. My focus will begin with a whole class participation data collection activity. The class will perform “the wave” in small sections at a time until the entire class has completed it. As a group will record the number of seconds it takes (for example) 3, 5, 8, 13, 15, 20, etc. to complete the wave.
References: Howden, Hilde. Algebra Tiles for the Overhead Projector. New Rochelle, NY: Cuisenaire Company of America, 1985. Sharp, Janet M. Results of Using Algebra Tiles as Meaningful Representations of Algebra Concepts, ERIC search, 1995.