There exists an increased focus on school mathematics, especially first-year algebra, due to recent efforts for all students to be college and career ready. In addition, there are calls, policies, and legislation advocating for all students to study algebra epitomized by four rationales of the "Algebra for All" movement. In light of this…

The purpose of this qualitative study was to provide empirical evidence of the extent to which the types of tasks recommended by Sheffield for eliciting characteristics of mathematical promise allowed for the manifestation of these characteristics in primary-grade students within a problem-based learning (PBL) context. Data included student work…

The purpose of this study was to determine whether relationships existed between teachers' implementation of two specific discourse-related instructional practices and students' mathematics achievement in geometry and measurement as part of a research study on the effectiveness of an advanced mathematics curriculum for kindergarten and…

In this study, we used logistic regression to examine how well student background and prior achievement variables predicted success among students attending accelerated and enrichment mathematics courses at a summer program (N = 459). Socioeconomic status, grade point average (GPA), and mathematics diagnostic test scores significantly predicted…

The present study used the u.S. portion of the Program for International Student Assessment (PISA) to examine how homework resources, mathematics self-efficacy, and time spent on homework impacted mathematics achievement across gender and ethnicity. The findings showed that achievement gaps diminished with the increase in availability of homework…

Several decades ago, V. A. Krutetskii conducted a multiyear study to investigate the various types of thinking that academically advanced, or as he called them, gifted mathematicians used. Following an in-depth look at Krutetskii's nine ways of thinking, a model is proposed that will provide direction for teachers in selecting problems. The model…

This paper reports results from a study of self-regulated problem solving actions of students enrolled in College Algebra (N = 139). The study examined the associations between the expressed mathematical beliefs of students and the students' self-regulated actions in solving mathematics problems. The research questions are: (a) What are some…

Through their participation in a seventh-grade talent search in 1996-1997, students qualified to attend a summer program at Duke University's Talent Identification Program (Duke TIP). of the North Carolina students in this group, some attended at least one summer program in middle school and others had qualified for but did not attend a summer…

According to the NCTM reform suggestions, when teachers are orchestrators of student interactions, students adopt a more active role in explaining and learning mathematics. This research, which mapped the nature and role of meaningful mathematical discourse, provides insights into discursive practices that lead to rich mathematical interactions.…

The discrepancies between test-based and teacher-based criteria of high achievement are well-documented for students of all ages. This study seeks to determine whether certain high school students who score high on tests of academic achievement are more likely than others to be nominated for advanced academic programs by their teachers. Using…

Teachers need to monitor students' self-efficacy judgments, as well as their mathematics learning, to provide optimal instruction. First, inaccuracies in self-judgments appear to be a major liability for elementary and middle school children. Classroom practice must cultivate the knowledge to succeed and should nurture the belief that one can…

Although many students who enter kindergarten are cognitively ready to meet the demands of the kindergarten mathematics curriculum, some students arrive without the early abstract reasoning abilities necessary to benefit from the instruction provided. Those who do not possess key cognitive abilities, including understandings of conservation,…

Understanding student performance in Algebra I is important because this course serves as the gateway to advanced coursework in mathematics and science through the remainder of high school and into postsecondary education. In the current study, we analyzed secondary data to evaluate the relationship between selected indicators of mathematics and…