Background. Placement in developmental education in college is associated with negative effects on credits earned, course achievement, and degree attainment (Valentine, Konstantopoulos, & Goldrick-Rab, 2017) and requires substantial investments with costs to students and institutions estimated at $1.3 and $7 billion (Ganga, Mazzariello &…

The study tested the hypothesis that there are sex differences in the pathways to mathematical development. Three-hundred and 42 adolescents (169 boys) were assessed in various mathematics areas from arithmetic fluency to algebra across 6th to 9th grade, inclusive, and completed a battery of working memory, spatial, and intelligence measures in…

Adults with learning disabilities (LD) face educational and employment challenges and may also have other disabilities and health conditions. Little is known about these adults' numeracy skills and how they use numeracy at work or home. The article's objective was to investigate numeracy skills and skill use for U.S. adults with LD. The author…

The ways teachers converse about their work in relation to information and communications technologies (ICTs) are worth studying. We analyse how a teacher converses about her local practices in relation to two spreadsheet algebra programs (SAPs) on variables. During the conversations we noticed that the teacher keeps different policy documents --…

The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…

The gap between skilled workers needed and skilled workers available increased since the start of the fourth industrial revolution. Employees now need different knowledge, skills, and abilities to enter the workforce and stay current with new technologies than they did in the past. One way this knowledge gap and skilled worker shortage could be…

Nearly two thirds of students are not ready for college level work in mathematics as evidenced by the inability to succeed on standardized math placement tests. Unfortunately, this necessitates developmental coursework, which is not credit bearing, and ultimately makes these students significantly less likely to earn a college degree. This study…

Math anxiety refers to feelings people get when facing computational challenges. The fear of failure often causes people to avoid activities, like taking challenging mathematics courses or choosing majors that require mathematics. Grit describes how people persist or persevere in the wake of failure. This article looks at factors that contribute…

This study was a quasi-experimental design (QED) that examined the impact of Intervene K-12 tutoring on mathematics achievement for Grade 9 ELL students identified by HPS as having experienced considerable learning disruptions as a result of the COVID-19 pandemic and having recently arrived in the United States. Achievement gains for treatment…

Let R be an integral domain with quotient field F, let S be a non-empty subset of R and let n = 2 be an integer. If there exists a rational function ?: S [right arrow] F such that ?(a)[superscript n] = a for all a ? S, then S is finite. As a consequence, if F is an ordered field (for instance,[real numbers]) and S is an open interval in F, no such…

The purpose of this article is to explore the use of didactical phenomenology as an instructional design heuristic. In doing so, I will articulate ways in which didactical phenomenology can be used in conjunction with the guided reinvention and emergent models heuristics to support instructional design. This discussion will be supported by…

Multilingual learners (MLs), also referred to as English learners (ELs) in US K-12 public schools, and specifically newcomer MLs who have been in US schools for 2 years or less, are expected to learn the English language and reach grade level standards as their monolingual English-speaking peers. Mathematics education in the US has struggled over…

In this synthesis, we analyzed 10 prealgebraic reasoning interventions for students with mathematics difficulty (MD) in Grades 6 through 8. All interventions focused on one or more prealgebraic concepts including integer operations, algebraic expressions and equations, and functions. Of the 10 intervention studies, six employed single-case design…

Wyoming community colleges provide dynamic lifelong learning environments through higher education, workforce development, innovative partnerships, and civic and global engagement that lead to responsible citizenship and economic, social, and cultural prosperity. Planning for the future of Wyoming's community colleges and fulfilling the mission of…

We investigated whether early algebra lessons that explicitly aimed to elicit mathematical discussions (shift-problem lessons) invoke more and qualitatively better mathematical discussions and raise students' mathematical levels more than conventional lessons in a small group setting. A quasi-experimental study (pre- and post-test, control group)…