Through a series of explorations, this article will demonstrate how the Kentucky Derby winning times dataset provides various opportunities for introductory and advanced topics, from data processing to model building. Although the final goal may be a prediction interval, the dataset is rich enough for it to appear in several places in an…

Teachers are continually in search of tasks that balance the dual priorities of rigorous thinking and fluency development. These often-competing priorities are emphasized by national-level organizations as well as by state-level standards and assessments. The National Council of Teachers of Mathematics (NCTM) calls for school mathematics…

Almost twenty years ago, the National Council of Teachers of Mathematics (NCTM) published "Principles and Standards for School Mathematics" (2000), which recommended that teachers should incorporate more writing into their math lessons, claiming that writing helps students "consolidate their thinking" (p. 402) by causing them…

Two studies (Trautwein 2007 and Dettmers et al. 2010) show a positive correlation between high-quality homework and mathematics achievement. Students who completed their homework assignments scored better on assessments. However, these studies also showed no relationship between time spent on homework and resulting student achievement. This helped…

Local teachers have been working with their colleagues and math coach for years on ensuring that oral discourse during their mathematics classes has them acting as a facilitator and allowing students themselves to make sense of the mathematics. Specifically, their discussions are aimed at having students reason mathematically because discourse and…

During the author's eighteen-year tenure as a high school mathematics teacher, there has been one question that she has yet to answer: "Why don't students do homework?" On the basis of research, many factors may lead to a student leaving homework undone. A student may lack the drive to complete work out of school. Or a student may choose…

Writing about mathematics holds a wealth of benefits for students. When students are given opportunities to write in math class, it helps develop mathematical thinking and language, encourages self-reflection, and provides a better way to organize ideas. Many teachers incorporate journaling and other types of reflective writing into their…

The purpose of this article is to persuade English as a foreign language (EFL) teachers and teacher trainers that homework is indeed beneficial by presenting multiple examples of high-quality homework assignments, as Dettmers et al. (2010) found in mathematics. The argument here is that it is not the time spent on homework that matters in early…

Linear algebra students are typically introduced to the problem of how to convert from one coordinate system to another in a very abstract way. Often, two bases for a given vector space are provided, and students are taught how to determine a transition matrix to be used for changing coordinates. If students are successful in memorizing this…

Parents in the United States expect their students to have homework; and students, especially in middle school and high school, expect daily homework assignments from their teachers. However, it is difficult to create effective homework assignments. Despite the challenges involved, the authors believe that homework "can" be an important…

Every teacher knows the challenge of trying to engage reluctant readers and struggling writers--students whose typical response to a writing prompt is a few sentence fragments scribbled on a sheet of paper followed by an elaborate shrug of the shoulders. The best way to engage less confident readers and writers is to give them something powerful…

The body of literature on a Writing-to-Learn (WTL) approach in math courses offers up a variety of assignment types from which to choose. However, few of these articles provide empirical evidence on the ways these writing assignments contribute to students' learning. This mixed-methods study, conducted at the University of New Mexico, a…

Linking assessment to everyday classroom instruction requires a shift in both thinking and practice. For many, the term "assessment" simply means "grade". "Using Classroom Assessment to Improve Student Learning" shows how teachers can move away from using tests, letter or numerical grades, or passing or failing as…

"The Power of Probability" is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) and Common Core State Standards, which gives students opportunities to practice their skills and knowledge of the mathematics of probability. Developed by The Actuarial Foundation, the program's lessons and worksheets motivate…

The book introduces readers in the often-overlooked math-related fields to the ideas of writing-to-learn (WTL) and writing in the disciplines (WID). It offers a guide to the pedagogy of writing in the mathematical sciences, and gives theoretically grounded means by which writing can be used to help undergraduate students to understand mathematical…