Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

Recognizing and using mathematical structure are key components of mathematical reasoning. The authors believe that one productive way to support students' use of structure is by identifying opportunities to address structure in the context of what teachers are already doing, rather than developing additional tasks or new curriculum materials. The…

In this article, Strayer and Matuszewski present a six-phase strategy that teachers can use to help students develop a conceptual understanding of inferential hypothesis testing through simulation. As Strayer and Matuszewski discuss the strategy, they describe each phase in general, explain how they implemented the phase while teaching their…

Emperor penguins, the largest of all the penguin species, attain heights of nearly four feet and weigh up to 99 pounds. Many students are not motivated to learn mathematics when textbook examples contain largely nonexistent contexts or when the math is not used to solve significant problems found in real life. This article's project explores how…

Objective: Children with Tourette syndrome and other co-morbidities (abbreviated hereafter to TS+) experience significant learning difficulties. We wished to identify educational strategies that these students, their parents and teachers considered useful. Design: An "educational toolkit" was compiled of 84 strategies identified by…

Since 1973, the National Assessment of Educational Progress (NAEP) has gathered information about student achievement in mathematics. Results of these periodic assessments, produced in print and web-based formats, provide valuable information to a wide variety of audiences. They inform citizens about the nature of students' comprehension of the…

Imagine two fourth-grade classes. Both contain students of comparable demographics and highly respected teachers each with four to five years of experience. Both classes engage in science curricula that emphasize science and engineering practices as outlined in the "Next Generation Science Standards" (NGSS Lead States 2013). Both classes…

Encouraging students with learning challenges to actively participate in the learning process can be difficult, especially when they are tentative about their knowledge level as compared to their peers. This article outlines three steps teachers can take to incorporate cooperative learning strategies that ensure active participation by all…

This module was initially developed for a course in applications of mathematics in biology. The objective of this lesson is to investigate how the allele and genotypic frequencies associated with a particular gene might evolve over successive generations. The lesson will discuss how the Hardy-Weinberg model provides a basis for comparison when…

Mobile devices have been increasingly utilized in informal learning because of their high degree of portability; mobile guide systems (or electronic guidebooks) have also been adopted in museum learning, including those that combine learning strategies and the general audio-visual guide systems. To gain a deeper understanding of the features and…

As a new decade dawns, teachers stand at the center of a policy vortex. They serve as the primary focus of one of the Obama administration's four pillars of educational reform--effective teachers and leaders. Educational reformers of all stripes have focused tremendous energy on thinking of ways to identify effective teachers and in turn recruit,…

In this article, we provide a discussion on our revision method (termed "prescriptive tutoring") aimed at revealing students' misconceptions and misunderstandings by getting them to solve physics problems with an anonymous partner via the computer. It is currently being implemented and evaluated in a public secondary school in Singapore,…

Students learned a strategy for planning, writing, and evaluating compare-contrast essays. Instruction followed the principles of self-regulated strategy development, which aims to improve knowledge about writing, strategic writing processes, self-regulation, and motivation. Six adolescent students, 3 with learning disabilities in writing and 3…

Recent findings from a Mathematica study comparing the performance of teachers prepared via alternative and traditional routes have been interpreted to suggest that policymakers and practitioners should expand the use of fast-entry alternative routes and seek teachers trained through such programs, as they presumably perform as well in the…

The current generation of students coming into food science and engineering programs is very visually oriented from their early experiences. To increase their interest in learning, new and visually appealing teaching materials need to be developed. Two diverse groups of students may be identified based on their math skills. Food science students…