Pedagogical Content Knowledge (PCK) is a powerful construct for examining the complexity of teacher knowledge. Together with teachers' moment-by-moment choices of action, it provides insight into teachers' knowledge and its influence on student learning. This paper investigates the PCK experienced by a senior secondary mathematics class during a…

The aim of this research was to study and investigate first year university calculus students' misconceptions about how to use the definition of limit to find the first derivative of functions and then remediate these misconceptions by using APOS theory (Action, Process, Object, and Schema). Students (n = 82 female and male) were selected based on…

Mathematics scores on the 2019 National Assessment of Education Progress increased by only two points for both fourth and eighth grade students since 2007, indicating that students continue to struggle in mathematics (National Center for Educational Statistics, 2007; U.S. Department of Education, 2019). The development of both conceptual and…

Measures of teacher mathematical knowledge are notoriously difficult to develop (e.g., Orrill et al., 2015). This is in part because of the multidimensional nature of teacher knowledge. As part of two separate projects being undertaken by this research team, we have attempted to write assessments of teacher pedagogical content knowledge (PCK) in…

The purpose of this qualitative case study was to explore how nontraditional community college students experienced, understood, and applied mathematical reasoning skills while engaged in active-learning pedagogy in an introductory biology course in a Southwestern United States Community College. The underlying theory was the Wigfield and Ecles…

Geometric proof-writing is a widely known cause of stress for secondary school students and teachers alike. As the textbook is the primary curricular tool utilized by novice teachers, a two-part qualitative study was conducted to determine (a) the types of proofs presented in a typical high school geometry textbook and (b) teachers' preparedness…

The purpose of the qualitative exploratory case study was to examine California community college administrators' perceptions of preparation for achieving full compliance in implementing California Assembly Bill (AB) No. 705. The study involved analyzing documents, a physical artifact, and archived data from 14 community colleges in southern…

Teacher collaboration and hands-on learning have both been recognized as a vital component to student success. This project represents an evaluation of the researchers' initial efforts toward providing an opportunity for students to earn a math credit towards graduation in a CTE class. It also shows how cross-curricular collaboration between a…

The purpose of this study was to explore the social validity of the STEAM Trunk Math study- a virtual professional development intervention approach for early learning educators. The aim of the intervention was to increase the knowledge, skills, and comfort level regarding the use of math in early learning settings. A quasi-experimental…

The purpose of this qualitative descriptive study was to explore how elementary teachers, who use flipped teaching, describe low-achieving math students' engagement in central North Carolina. Two data sources, with 12 individual interviews and three member- checking focus groups, were conducted. The collaborative learning skills taxonomy of…

It is well accepted and understood amongst the mathematics education community that numeracy is the responsibility of all teachers, across all levels of schooling. However, the way numeracy is understood and actioned across the Early Childhood, Primary and Secondary contexts is different. This paper reports on a case study of secondary school…

The importance of computational thinking skills in mathematics has been recognized in educational research for a long time. More recently, this recognition has materialized in formal international recommendations (e.g., by PISA's 2022 Mathematics Framework) and in national or provincial curricular reforms (e.g., in France, Sweden, and Canada) that…

Previous research has documented reliable effects of teachers' judgments or expectations, respectively, on their students' school performance. However, the importance of those effects has been controversially discussed because of their limited effect size. The impact of teacher judgments on students' lives might have been underestimated due to a…

The study examines language dimensions of mathematical word problems and the classification of mathematical word problems according to these dimensions with unsupervised machine learning (ML) techniques. Previous research suggests that the language dimensions are important for mathematical word problems because it has an influence on the…

Cognitive and psychomotor capabilities are two critical interrelated abilities to improve student learning outcomes. Both abilities play a role in understanding new information and developing fine motor skills. Hence, schools train students these two abilities to equip them with basic skills in solving mathematical problems such as basic…