- Driscoll, M. & Moyer, J. (January 2001). Using Students' Work as a Lens on Algebraic Thinking, Mathematics Teaching in the Middle School, 6(5), 282-287.
This article focuses on the use of student work to help teachers focus on teaching and learning algebra.
- Kalchman, M.S. (August 2005). Walking through Space: A New Approach for Teaching Functions in Mathematics Teaching in the Middle School, 11(1), 12-17.
Kalchman shares a real-life scenario for introducing several key aspects of linear functions.
- Kriegler, S. Just What is Algebraic Thinking? Submitted for Algebraic Concepts in the Middle School.http://www.math.ucla.edu/~kriegler/pub/algebrat.html.
Kriegler discusses three lenses for looking at algebra: algebra as abstract arithmetic, algebra as language, and algebra as a tool for the study of functions and mathematical modeling.
- Mooney, E.S. (March 2007). The Thinking of Students: Cookies, Mathematics Teaching in the Middle School, 12(7), 374-377.
This brief article gives you insight into students' mathematical thinking about this problem: Tim ate 100 cookies in 5 days. Each day he ate 6 more than the day before. How many cookies did he eat on the first day?
- Mooney, Edward E.S. (December 2006). The Thinking of Students: Elizabeth's Long Walk in , Mathematics Teaching in the Middle School, 12:(5 (December 2006): 263), 63-265.
This brief article gives you insight into students' mathematical thinking about this problem: Elizabeth visits her friend Andrew and then returns home by the same route. She always walks 2 km/h when going uphill, 6 km/h when going downhill, and 3 km/h when on level ground. If her total walking time is 6 hours, then what is the total distance she walks?
- Peterson, Blake B.E. (November 2006). Counting Dots and Measuring Area: Rich Problems from Japan in , Mathematics Teaching in the Middle School, 12:(4 (November 2006): , 214-219.
Students look at a set of dots and create a variety of generalizable patterns.
- Smith, Margaret M.S., Amy Hillen, A.F. Hillen, and Christy L. Catania. & Catania, C.L. (August 2007). Using Pattern Tasks to Develop Mathematical Understandings and Set Classroom Norms in Norms, Mathematics Teaching in the Middle School, 13:(1 (August 2007): , 38-44.
This article discusses the use of pattern blocks to help students develop algebraic reasoning and to establish classroom norms and practices.
- Thomas, David AD. and Rex A. & Thomas, R.A. (October 1999). Discovery Algebra: Graphing Linear Equations in The Mathematics Teacher, 92:(7 (October 1999): , 569-572. http://my.nctm.org/eresources/article_summary.asp?from=B&uri=MT1999-10-569a.
In this article, Thomas shares his personal classroom experience moving toward a new approach to teaching algebra.