Employing best practices for teaching mathematics like math manipulatives, children's literature picture books, and GeoGebra can all be connected and better help to prepare students for a STEM world to develop confident young individuals in doing mathematics in a world of AI, distance learning, and online with emerging technologies. This paper…

The present study investigated the relations among math anxiety, math self-concept, and math self-efficacy on math achievement in older students and underserved ethnic minorities (i.e., Blacks and Hispanics) in higher education. These two groups have been largely neglected in the math self-construct literature. The results showed that older…

Mathematical skills significantly predict students' educational paths. Mathematical achievement varies depending on the student's socioeconomic status (SES). However, the extent of the SES gap for specific mathematical skills remains unclear. In this cross-sectional study, we examined age variations by SES in three mathematical skills, applied…

The COVID pandemic and ongoing risks to school safety drastically increased interest in full-time virtual school enrollment at the start of the decade. However, virtual schools have historically struggled to achieve mathematics outcomes comparable to their face-to-face counterparts and are at risk if they do not find ways to improve student…

As the number of Multilingual Learner (ML) students attending public schools rises, so does the demand for those who can teach them. Research shows that due to the existence of gaps between different types of knowledge, theory, and practice, the results of teacher preparation programs are often fragmented and do not fully benefit participating…

In this dissertation I explore instructors' work with instructional tasks as they plan to introduce various representations of derivatives. Drawing on the notion of "framing" from sociology, I adopt a situative lens to study calculus instructors' planning of instructional tasks. I rely on Herbst and Chazan's (2012) notion of…

Context: Research has demonstrated the importance of teacher quality for student achievement above all other school-based factors (Aaronson et al., 2007; Goldhaber, 2002; Rivkin et al., 2005; Rockoff, 2004). Yet while states and districts have allocated significant resources toward professional learning (PL) aimed at improving instruction (Jacob…

The problem addressed through this study was the inconsistent implementation of online formative assessment to inform instruction by high school mathematics teachers in a Northeast Regional High School District (NRHSD). The purpose of this basic qualitative study was to investigate how high school mathematics teachers in a NRHSD use online…

The calls for reasoning and proof to have a prominent place in secondary mathematics classrooms raise the question of knowledge that teachers need to support student learning of reasoning and proof. Several conceptualizations of Mathematical Knowledge for Teaching Proof (MKT-P) have been proposed over the years, yet some key questions about the…

In 2 experiments, I studied the effects of an Equivalence Based Instruction (EBI) math intervention on the emergence of untaught selection responses and abstraction to production responses. In Experiment I, using a multiple baseline design, I implemented the EBI intervention among a group of 17 first grade participants with varying levels of math…

Preparing prospective mathematics teachers to become teachers who recognize and respond to students' mathematical needs is challenging. In this study, we use the construct of critical incident as a tool to support prospective mathematics teachers' reflection on their authentic fieldwork activities, notice students' thinking, and link it to the…

The home numeracy environment (HNE) is an essential factor to explain family engagement in relation to numeracy. Research in this field has mostly focused on English-speaking families and has not taken into consideration cultural differences that contextualize the home environment. Measuring HNE in more ethnically diverse samples might counter…

Assembly Bill (AB) 1705 seeks to improve California community college students' progress in Science, Technology, Engineering and Math (STEM) programs. The law ensures that students begin math in the course that best positions them to complete their calculus requirement. A college has this obligation to all STEM students, regardless of their…

We investigated how teachers' narratives about their histories as learners provided insight into how they enacted rough drafting and revising -- a form of ambitious mathematics instruction. We interviewed 32 teachers in the U.S.A who reported using rough drafting and revising in their mathematics teaching. Teachers spoke about positive, negative,…

Mathematical reasoning, a fundamental aspect of human cognition, poses significant challenges for artificial intelligence (AI) systems. Despite recent advancements in natural language processing (NLP) and large language models (LLMs), AI's ability to replicate human-like reasoning, generalization, and efficiency remains an ongoing research…