We conducted a randomized control trial assessing the effects of two variants of word-problem intervention with third graders (n = 304) experiencing mathematics difficulty. Students were assigned to a business-as-usual condition (BaU) or one of two variants of word-problem intervention. One variant included a pre-algebraic reasoning component…

Understanding how young learners come to construct viable mathematical arguments about general claims is a critical objective in early algebra research. The study reported here characterizes empirically developed progressions in Grades K-1 students' thinking about arguments concerning sums of evens and odds. Data are drawn from classroom lessons…

Research results from the past decade on the efficacy of online instruction for high school students varies. While many researchers suggested that younger students, mathematics students, and already struggling students who take online classes were underperforming compared to their classmates in the same course taken face-to-face (f2f), other…

Universities have drawn on an assortment of strategies to address the learning challenges and high attrition rates of developmental mathematics students. One of those strategies has been utilizing computer adaptive instruction (CAI) mathematics software. Reports about the efficacy of CAI vary from glowing to unfavorable. This article presents an…

Little is known about the cognitive effort associated with algebraic activity in the elementary and middle school grades. However, this investigation is significant for sensitizing teachers and researchers to the mental demands of algebra learning. In this paper, we focus on the relationship between algebraic thinking and domain-general cognitive…

The relation to operands (RO) principles describe the relation between operands and answers in arithmetic problems (e.g., the sum is always larger than its positive addends). Despite being a fundamental property of arithmetic, its empirical relation with arithmetic/algebraic problem solving has seldom been investigated. The current longitudinal…

We address a problem of promoting instructional transformation in early undergraduate mathematics courses, via an intervention incorporating novel digital resources ("techtivities"), in conjunction with a faculty learning community (FLC). The techtivities can serve as boundary objects, in order to bridge different communities to which…

This study aims at highlighting the relationship between mastery learning models and academic performance in mathematics, moderated by the number of hours allotted to studying mathematics. There are 305 first to eighth-grade students who learn at "Nae A. Ghica Middle School" in Romania. Students in sixth, seventh, and eighth grades…

This study diagnoses and explores year eight students' misconceptions and mistakes in algebra. An in-depth exploration of students' misconceptions were carried out by conducting interviews based on the students' work as outlined in a cognitive map. Based on the cognitive maps, it can be seen that the students emphasize procedural knowledge rather…

The purpose of this quantitative ex post facto study was to examine the effectiveness of online learning amidst a global pandemic versus traditional learning and its impact on the achievement of secondary students. More specifically, the study investigated if there was a significant difference in the English Language Arts II test scores, Algebra…

Using mathematically unsound scales and inequitable grading practices has complicated the grading process for teachers and created educational barriers for students. This quantitative study compared the effect of the 100-point percentage and 4-point interval grading scale on Algebra 1 final grades. This study also investigated if there was a…

This action research study examined the effects of professional development on teaching for conceptual understanding in Algebra I. "Conceptual knowledge refers to knowledge of the underlying structure of mathematics-the relationships and interconnections of ideas that explain and give meaning to mathematical procedures" (Eisenhart et…

All students, including students with learning disabilities, deserve a mathematics education that successfully prepares them for their future endeavors. This preparation includes effective instruction in algebra, which is known as the gatekeeper to post-secondary schooling, employment, and constructive citizenry. However, majority of students with…

Learning loss due to COVID-19 and the digital divide will have dire consequences for low-income students. This study used the Faucet Theory (Alexander et al., 2001) as a theoretical framework to determine the extent that the COVID-19 learning environment impacted the Southern Public Schools District's African American, low-income, and high-income…

This descriptive case study explores undergraduate student experiences and perceptions in corequisite college algebra courses at an Arkansas university. Corequisite models enroll students in credit-bearing college algebra paired with required supplemental academic support. Current research has largely focused on pass rates or DFW rates. However…