Many incoming college freshmen who do not meet minimum standardized exam cut-score requirements are often determined to be not ready for college level coursework and registered for pre-requisite, multi-semester, remedial course sequences. The goal of pre-requisite courses is to prepare students for college-level courses prior to enrollment in…

This study investigated the role of online applets in early algebra lessons. The effect of two different types of intervention modules on developing students' early algebraic thinking abilities was compared. The first intervention module involved the use of open applets and real-life contexts (open-real). The second intervention module involved…

This study aimed to examine whether a computational thinking (CT) intervention related to (a) number knowledge and arithmetic (b) algebra, and (c) geometry impacts students' learning performance in primary schools. To this end, a quasi-experimental, nonequivalent group design was employed, with 61 students assigned to the experimental group and 47…

As educational systems move from onsite to online due to the COVID-19 pandemic, teachers face the difficulty of designing online examination formats which minimize opportunities for dishonesty. In this paper, we expose our design of such a format: a protected Microsoft Excel spreadsheet containing short-answer questions, which was implemented in a…

Well-written curriculum materials are known to support teacher learning. Less discussion has focused on whether teachers' guides, curriculum materials written specifically for teachers by textbook publishers, provide sufficient support. In this study, I analyse four US-based mathematics teachers' guides to understand the opportunities within them…

This research paper aims to characterize Mathematical Reasoning (MR) in teaching and learning of mathematics in high-school education. To achieve this goal and reveal the status of Mathematical Reasoning as a concept, we analyze the content of curricula and official textbooks of the initial and second year of high school in Morocco. Our analytical…

The purpose of this study was to evaluate the preliminary outcomes of a learning community intervention (LC), which was based on the performance pyramid theoretical model of student supports. The LC integrated college algebra into biology course work. We used a quasi-experimental design to compare LC students to separate General Biology I and…

Our study aims to determine how Habermas' construct of rationality can serve to identify and interpret the difficulties experienced by university students in the mathematical problem-solving process. To this end, a problem which required modelling and solving a differential equation was used. The problem-solving processes of university students…

Educators increasingly recognize the importance of students' learning orientations, but relatively little is known about how these mindsets vary across and potentially shape educational settings. We use nationally representative data to document contextual variation in mathematics orientations in U.S. high schools. We find systematic variation in…

This causal-comparative quantitative study investigates learning centers as a cooperative learning instructional strategy in the secondary mathematics setting. The research literature on group work within the secondary mathematics classroom indicates that group work is an effective way to increase academic success if supported with effective…

Algebraic thinking is an essential component of the K-12 mathematics curriculum. Early algebra focuses on the overall numeric structure (Kaput, 2008; Kieran,2018; Kieran et al., 2016) which focuses on the noticing of arithmetic patterns leading to generalizations supported by justification, reasoning and justifications (Blanton, 2008; Blanton et…

In South Carolina, much focus was applied to the End of Course Examinations Program, or EOCEP. The EOCEP was used to measure mastery of academic standards in gateway courses. School effectiveness and student proficiency were two areas measured by individual student outcomes. All public schools were subject to EOCEP testing in South Carolina.…

This study was designed to examine the use of mistakes to promote students' performance in undergraduate Algebra classes by developing a growth mindset. Participants were seventy-four students from three Algebra classes and received one of the three interventions along with regular instruction: (a) growth mindset feedback on mistakes…

This research reports on the teacher language and gesture that contributed to shifts in thinking about the equal sign and equations observed in twenty kindergarteners who took part in an early algebra intervention. Our analysis revealed ways in which the teacher used language and gesture to support students in moving from describing and working…

This paper describes the conceptions about complex numbers that a group of university students has, these were built from the application of an activity sequence centered on these numbers. This sequence is based on the APOS theory, some aspects of semiotic representation theory, and the use of digital technology. Particularly, both the general…