Adaptive tutoring systems often model student knowledge in ways that break away from a "one size fits all" approach to learning. Nonetheless, the strengths of these systems can often be limited, as knowledge representations are not easily interpreted by teachers, which make these systems difficult to integrate into pedagogical practices.…

Even before the pandemic slowed learning for many, only 39 percent of California students demonstrated proficiency on the state math assessment. During the pandemic, the proportion of math-proficient students fell to one-third. At the same time, the STEM workforce faces shortages and a lack of diversity, which call into question the longstanding…

This article outlines a series of lessons the author led to help students understand gerrymandering, which is the practice of drawing district boundaries to favor a particular group or party and which undermines the fairness of a representative democracy. These lessons were developed to capture student interest and engagement by linking…

Elementary teachers in California were tasked to use cognitively guided instruction (CGI) strategies in mathematics classrooms, but it was uncertain if they had the self-efficacy, confidence, resources, and support to do so consistently. The purpose of this basic qualitative study was to investigate K-5 teachers' perceptions about their…

Providing students with the appropriate math support can ensure they develop the skills and confidence they need to succeed. This Spotlight explores effective strategies for providing targeted math support, addressing math anxiety, and promoting student success. From combating math anxiety to leveraging in-school tutoring, these articles offer…

The idea of "threshold concepts" has been used to identify discipline-based concepts that are critical to that academic area. Threshold concepts are often difficult for students to assimilate in a meaningful way but, once done, can be powerful for the learner. In general, threshold concepts are 1) transformative to learner thinking; 2)…

With increasing pressure on schools to boost students' math scores post-pandemic, this study investigates the impact of a tech-enhanced formative assessment that incorporates the instruction of strategic thinking in math to foster learning. Employing mixed methods, the impact of a one-year implementation of Classtime on state test scores was…

This qualitative research study sought to help community colleges aid math faculty in making a transformation in their teaching practices. The research questions were: (a) What did it take for faculty to change their teaching style from traditional lecture-based instruction to one that incorporates low-stakes collaborative practice, just-in-time…

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…

Current models of education are less effective at developing the skills needed for individuals to thrive in this Information Age and beyond. One way to adapt education for current times is through what the authors call Active Playful Learning (APL), a pedagogical framework that is evidence-based, practical, and uniquely co-designed with scientists…

Background: Current efforts to promote reasoning, problem solving, and discussion are often framed as advancing equity, but scholarship suggests individual students' opportunities to learn can vary considerably in classrooms that attempt to take up these approaches to teaching mathematics. Noticing students' mathematical strengths and positioning…

Counting is fundamental to early mathematics. Most studies of teaching counting focus on teachers observing children count. The present study compares mathematical ideas that 12 PK, transitional kindergarten (TK), and kindergarten teachers noticed from observing their own students count during a classroom session of Counting Collections with ideas…

It is evident that more qualitative research on Advanced Placement [AP] classrooms for students from marginalized backgrounds is needed to uncover how AP practices and pedagogies might better serve students who had been historically excluded from the AP Program. I asked my former calculus students (32 total - 22 participated) from my last three…

Flipped classrooms serve as a new pedagogical approach for teaching and learning, which involves switching from the traditional teacher-centred academic agenda. Unlike the traditional classroom model, the flipped classroom enables students to understand the lesson better while learning at their own pace and enhancing their communication skills…

This case study explores how bilingual teacher candidates (BTCs) in a Texas dual language teacher education program reflect on their mathematics teaching experiences through a translingual, transcultural, and transdisciplinary lens. By analyzing bilingual teacher narratives, the study investigates how translanguaging and reported speech shape…