This article takes the position that teachers can use simple manipulative materials to model relatively complex situations and in doing so scaffold the development of students' number sense and early algebra skills. While students' early experiences are usually dominated by the cardinal aspect of number (i.e., counting the number of items in a…

This study conducted an item-level analysis of mathematics anxiety and examined the dimensionality of mathematics anxiety in a sample of developmental mathematics students (N = 162) by Multi-dimensional Random Coefficients Multinominal Logit Model (MRCMLM). The results indicate a moderately correlated factor structure of mathematics anxiety (r =…

The purpose of this study was to determine if student on-task behavior varied when a) the One Teach/One Assist co-teaching model was applied or b) when the Team Teaching model was applied using an alternating treatment design for four students in a co-taught Algebra I classroom. Results show that participants experienced increased on-task behavior…

In the context of a generic harmonic oscillator, we investigated students' accuracy in determining the period, frequency, and angular frequency from mathematical and graphical representations. In a series of studies including interviews, free response tests, and multiple-choice tests developed in an iterative process, we assessed students in both…

The article provides a report on the comparison of Opportunities to Learn algebra and eighth grade students' algebra achievement in three countries: Botswana, Singapore and the United States. The study used student and teacher data from the Trends in International Mathematics and Science Study (2011 and 2015). By using a multilevel regression…

Teaching mathematics by project-based learning (PBL) method on the use of educational technology offers an innovative teaching pedagogy at college. The "World Culture Art Created with Calculus Graphs of Equations" poster project was designed by the first author and was completed in the pilot Calculus course during the spring 2016…

Two points determine a line. Three noncollinear points determine a quadratic function. Four points that do not lie on a lower-degree polynomial curve determine a cubic function. In general, n + 1 points uniquely determine a polynomial of degree n, presuming that they do not fall onto a polynomial of lower degree. The process of finding such a…

The Better Math Teaching Network (BMTN) is looking to transform high school math instruction in New England and beyond. Through this network, researchers and practitioners are working together to make high school Algebra I classes more student centered. This report outlines findings from the first year of this developmental evaluation of the…

As the Better Math Teaching Network (BMTN) matured, different strategies for sharing network learning emerged. These strategies became more formalized and intentional as BMTN members developed tools and routines to spread the learning. Our multi-year evaluation sought to understand the affordances and constraints of each strategy. In the sections…

A wide research base has documented the unequal access to and enrollment in K-12 gifted and talented services and other forms of advanced learning opportunities. This study extends that knowledge base by integrating multiple population-level datasets to better understand correlates of access to and enrollment in gifted and talented services,…

Although the use of technology in the K12 classroom has been shown to have a positive impact, research on the use of open education resources (OER) is relatively limited, especially research focusing on low-achieving students. The present study examines the relationship between usage of Algebra Nation, a self-guided system that provided…

The purpose of this quasi-experimental quantitative study was to determine if the incorporation of a student response system in third grade mathematics led to an increase in student achievement as measured by the MAP Growth: Math 2-5 CCSS 2010 V2 interim assessment. The study was founded on the basis that providing students with educational…

Historically, students took Algebra I in high school, but there has been a recent trend toward taking it in middle school (Domina, 2014). In the past two decades the proportion of middle school students taking Algebra I or more-advanced math courses has doubled (Domina, 2014). Success in Algebra I is important because it is a gateway course for…

We study the usage of a self-guided online tutoring platform called Algebra Nation, which is widely by middle school and high school students who take the End-of-Course Algebra I exam at the end of the school year. This article aims to study how the platform contributes to increasing students' exam scores by examining users' logs over a three year…

"A Commitment to Teaching: Toward More Efficacious Teacher Preparation" introduces the reader to a collection of thoughtful works by authors that represent current research and thinking about teacher self-efficacy and teacher preparation. It is the intent of the book to provide the reader with current and relevant knowledge concerning…