The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of…

Biological systems exhibit strong dynamic variations; for example, a system may have a tendency towards either a steady state, periodic behaviour or chaotic oscillations. These findings, explained by dynamic systems theory, have allowed researchers to formally relate a wide variety of systems, such as the theory of rumour propagation, glucose…

This study aimed to investigate the impact of inquiry-based indoor and outdoor mathematics activities on pre-school children's geometric and spatial thinking skills. Thirty-two children between 48 and 66 months old participated in the study. The study employed as a quasi-experimental research model and employed Non-equivalent Control Group Design.…

The purpose of this study was to determine the effectiveness of co-teaching versus inclusive non-co-teaching for students with disabilities (SWD) using algebra I end-of-course scores (EOC) and whether these effects differed by gender. Participants included 244 ninth-grade algebra I SWD. The research design consisted of a posttest only with a…

We characterize the thematic trends of the "Geometry and its Applications Meeting." This meeting is held periodically in Colombia, country in which our study was carried out. We used a taxonomy of key terms specific to mathematics education to code the proceedings of this meeting. The study variables are purpose, educational level,…

Literature suggests that students need to be exposed to cognitively demanding tasks (CDT). In this qualitative study, we examined in-service secondary school teachers' challenges in understanding (e.g. recognizing, solving, and designing) and implementing cognitively demanding tasks in mathematics classrooms. Purposive sampling consisted of eleven…

Two of every three students in the classroom today are affected by at least one adverse childhood experience (ACE; Perfect et al., 2016). Recently, researchers have used a neurodevelopmental approach to try to categorize and describe the connection between the neurological, cognitive, and academic success of children with ACEs and may have…

Novel forms of technology, like shared Augmented Reality (AR) holograms, can spur the discovery of new hypotheses about cognition and how it is embodied and distributed. These holograms have affordances for exploration, collaboration, and learning that have never been seen before. In the present study, we examine the multimodal ways that high…

The purpose of this qualitative phenomenological research study was to investigate the factors that influence mathematical instruction of upper elementary teachers in school districts within Southern California. More specifically, this research study examined teaching strategies of upper elementary teachers' experiences and perceptions regarding…

Within teacher education, work on mathematics teaching often occurs separately from work on issues of race and racism. Typically, mathematics content and methods courses tackle subject matter-specific concepts and teaching practices, while the history and current dynamics of racial inequity in education, if addressed at all, tend to be the domain…

Research and data show that developmental education has been a stumbling block for the majority of community college students in pursuing their higher education degree. Students can spend several semesters to complete developmental math requirements in order to take a first college-level credit-bearing math course for their degree. Many colleges…

Barriers to implementing effective math instruction have been a focus of scholars because they are a problem in supporting students with disabilities. Researchers have demonstrated that general education teachers often have little knowledge about effective interventions for students with disabilities and the barriers to achieving such instruction.…

One pedagogical technique that promotes conceptual understanding in mathematics learners is self-explanation integrated with worked examples (e.g., Rittle-Johnson et al., 2017). In this work, we implemented self-explanations with worked examples (correct and erroneous) in a software-based Intelligent Tutoring System (ITS) for learning algebra. We…

Supporting students with mathematics learning difficulties (MLD) as they transition from arithmetic to algebra remains a challenge within the special education and mathematics education research communities. This dissertation includes 3 manuscripts focused on how fifth graders with MLD develop algebraic understandings related to equivalence and…

Out-of-school mathematics programs (OSMPs) can be a great benefit for students in STEM. However, little is known about how students perceive the support provided to them by such programs, especially with respect to students of color. In this paper, we draw upon a framework of institutional resource types (Nasir & Cooks, 2009) and performed a…