Early in my career someone else reported that the best indicator of success in calculus-based physics (CBP) at our school was whether students had taken mathematics in a certain region of New Brunswick. I sat down with a very longtime mathematics teacher and asked him what he thought students should know in mathematics after high school to succeed…

An important message teachers convey to their students is that mathematics is founded on reasoning and is not just a collection of rules to apply. Many mathematical rules such as area formulas can be derived in ways that are age-appropriate to students, and it is an important part of mathematics education that students engage in these derivations…

It is argued that algebra is a gateway to a rich high school curriculum and later success at a four-year college. Therefore, everyone should take algebra and take it as early as possible. In this article, the author contends that it is a fallacious argument that infers causation from correlation. He believes that the kids who take algebra early…

This article describes a mathematically rich problem about giant pencils, which encourages students to reason proportionally. (Contains 3 figures.)

This article draws out many mathematical ideas connected with a familiar game often used by middle school teachers. (Contains 5 figures and 1 table.)

In education, standards have to be interpreted, for planning of teaching, for development of assessments and for alignment analysis. In most cases, it is important that there is an agreement between individuals and organizations about how to interpret standards. However, there is a lack of studies of how consistent different group of judges are…

To deeply understand proportional reasoning, students must be able to differentiate proportional situations from nonproportional situations. Unfortunately, the emphasis on the use of proportional strategies in middle-grades mathematics has led students to develop a disposition to associate certain characteristics of problem formulation with the…

This qualitative study examined the experiences of three eighth-grade prealgebra teachers as they planned student sensitive lessons for their ethnoculturally diverse students. The teachers worked in a lesson study group with a diversity consultant, an ESL (English as a second language) teacher who had a variety of multicultural experiences from…

Schools are institutions in which students' course taking creates series of linked learning opportunities continually shaped by not only curricular structures but demographic and academic backgrounds. In contrast to a seven-step normative course sequence reflecting the conventional hierarchical structure of mathematics, analysis of more than…

This document presents the proceedings of the 19th Annual Research Forum held June 26, 2014, at Wake Forest University in Winston-Salem, North Carolina. Included are the following 17 action research papers: (1) Using Voices to Change Minds: Oral Performance and Poetry in the English Classroom (Erika Bunpermkoon), (2) Imagining Audiences: The Use…

When people speak of "the Law of Gravity" they are generally referring to what is more specifically known as "Newton's Law of Gravitation." This law states that the gravitational force (that is, the mutual attraction) between any two physical bodies is directly proportional to the product of their individual masses and inversely proportional to…

Some might argue that the true ability to think, perceive, and analyse mathematically is the ability to solve problems. Others might say that it has more to do with advanced applications of procedures in particular contexts. The author would like to put a slightly different spin on this by viewing it, at least partly, in terms of one's ability to…

Several activities that are based on the ancient method of false position, also called false assumption, are presented in this article as a way to motivate students to find the solution of literal equations in beginning algebra.

Mechanics has never been the most popular subject in A-level mathematics, the UK's public examination for 16-18-year olds, either with students, teachers or educators. The attempts to popularize mechanics have failed and it is conceivable that the subject will be dropped from the A-level syllabus in the foreseeable future. This article argues the…

This article discusses key ideas and concepts involved in understanding fractions and offers a range of hints to the classroom teacher on how to support students to develop a connected understanding of this important topic. (Contains 8 figures.)