This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Student thinking, a learning cycle, and procedural fluency are discussed in this article, which is the second installment in the series. [For the first installment in this series see "Promoting a Conceptual Understanding…

This article explores three processes involved in attending to evidence of students' thinking, one of the Mathematics Teaching Practices found in "Principles to Actions: Ensuring Mathematical Success for All." These processes, explored during a classroom activity on proportional relationships, are discussed in this article, another…

Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…

While there is disagreement among mathematics educators about some aspects of its meaning, mathematical modeling generally involves taking a real-world scenario and translating it into the mathematical world (Niss, Blum, and Galbraith 2007). The complete modeling process involves describing situations posed in problems with mathematical concepts,…

The authors introduce an educational video game (application, or "app"), "CandyFactory Educational Game," designed to promote students' development of partitive understanding of fractions while demonstrating the critical need to promote that development. The app includes essential game features of immediate feedback,…

Linear functions are an important part of the middle school mathematics curriculum. Students in the middle grades gain fluency by working with linear functions in a variety of representations (NCTM 2001). Presented in this article is an activity that was used with five eighth-grade classes at three different schools. The activity contains 15 cards…

As current mathematics standards, such as the Common Core, are being implemented throughout the United States, it has become evident that teachers need support to enact the tenets of those standards. To help in this endeavor, this article was published as a guideline to emphasize to mathematics education stakeholders that "effective teaching…

Describes a mathematical game using a bingo format that allows students to explore the concepts of sample space, data interpretation, randomness, and theoretical probability while practicing addition skills. (YDS)

Describes the use of mathematics skills in daily life using a home renovation business as an example. (YDS)

Demonstrates how to extend student awareness of a common computational pattern into the realm of algebraic thinking through carefully selected, sequenced activities and guided discussion. (YDS)

Describes establishing and running a credit union in a sixth-grade classroom. By establishing a classroom credit union, students can develop independence in solving real problems and model situations that occur in the real world to solve similar problems. (ASK)

A mathematics teacher shares a family discussion about Pythagorean triples as her child discovers new ideas about generating a triple. This idea can be useful for introducing students to the Pythagorean theorem. Observes that middle school students tend not to share creative insights in spite of supportive families and teachers. Presents…

In this article, the authors demonstrate how a simple math lab incorporating monthly height measurements can address multiple science and mathematics standards such as collecting, organizing, and describing data in context; drawing conclusions; and making hypotheses from these data. Although the yearlong math lab can be accomplished in either the…