Teacher self-efficacy and teaching practices are both related to effective teaching and learning of mathematics. Given the theoretical and empirical basis for the importance of teacher self-efficacy, we hypothesized that teacher reported self-efficacy would be positively related to teacher self-reported effective teaching practices. This study…

This study is the result of the completion of my dissertation, for the needs of which, in parallel with the literature review, a quantitative research was conducted to assess the learning climate and feedback in the classroom of mathematics as perceived by 50 students who participated. The purpose of the research is to highlight relevant issues…

"Fraction Face-Off!" is a supplemental math program designed to support fourth-grade students who need assistance solving fraction problems. Teachers use program materials with individual students or small groups to promote understanding of the magnitude of fractions, to compare two fractions, to put three fractions in order, and to…

"Fraction Face-Off!" is a supplemental math program designed to support fourth-grade students who need assistance solving fraction problems. Teachers use program materials with individual students or small groups to promote understanding of the magnitude of fractions, to compare two fractions, to put three fractions in order, and to…

"Fraction Face-Off!" is a supplemental math program designed to support fourth-grade students who need assistance solving fraction problems. Teachers use program materials with individual students or small groups to promote understanding of the magnitude of fractions, to compare two fractions, to put three fractions in order, and to…

This study aims to understand the instructional interactions that foster students' generalizing. By analysing video-recorded lessons from 13 different Grade 3 classrooms in which an early algebra intervention was implemented, activities related to generalizing and students' generalizing activities were identified, and the nature of the…

In 2015, Bergen Community College (BCC) received a grant from the U.S. Department of Education First in the World Grant Program. The grant entitled Alternatives to Mathematics Education: An Unprecedented Program (AMP-UP), was awarded to conduct a randomized control trial on a corequisite approach to developmental math education. This study was…

This paper explores peer interactions in an elementary mathematics classroom (ages 9-10) where the teacher intentionally shared authority with her students and supported them in learning to share authority with one another. Authors examine how students shifted between shared, concentrated, and contested social and intellectual authority relations…

Analyses of literacy and numeracy levels worldwide by the Organisation for Economic Cooperation and Development suggest that the U.S. population has one of the lowest numeracy levels among developed nations. Sixty-four percent of American adults are unable to use math and interpret math problems that most higher-level jobs require, and a full 30…

Many college students are required to take at least one developmental math course, but as many as half of them fail to complete their developmental math requirements and never matriculate into college-level courses. To address this issue, the Charles A. Dana Center at the University of Texas at Austin created the Dana Center Mathematics Pathways…

This article describes a method for using the United States Census data to open a differential equations course. The question of finding a model for the United States population data gives students a first experience with creating a model using differential equations, and also understanding derivatives, what they mean, and how to calculate them in…

This paper describes an activity using a dog treat ball to introduce systems of first-order differential equations. Beads are placed in the first of two hemispherical chambers of a food-dispensing dog toy. As the ball is turned, students track the number of beads in the first chamber, the second chamber, and the exterior of the ball. Students…

Existing research suggests that young children can develop a partial understanding of the equal sign as an operator rather than as a relational symbol of equivalence. This partial understanding can be the result of overemphasis on canonical equation syntaxes of the type a + b = c in elementary school mathematics. This paper presents an examination…

What are the substantive differences between flipped and non-flipped instruction? This study examined the instruction of two teachers who have worked together within the same school using the same Algebra 1 curriculum for years. One teacher flipped his instruction (creating lecture videos assigned as homework), while the other teacher continued…

Belonging supportive environments have been positively associated with increased academic achievement, engagement, and persistence. Yet there may be differences in what an individual construes as a belonging-supportive versus belonging-threatening environment. This study takes a race-reimagined view of belonging rooted in an Axiom of Black…