Preservice elementary teachers tend to have higher mathematics anxiety than other undergraduate majors, which can be mitigated through building self-efficacy. Teacher education programs can address this deficit through methods courses that provide opportunities for preservice teachers to construct mathematical concepts and practice instruction.…

The mathematical form of the magnetic field due to a current loop, and the fact that it is identical to the electric field due to an electric dipole in the far field, are fundamental to our understanding of electromagnetism. While undergraduate level electromagnetism textbooks usually derive the electric field from an electric dipole, few derive…

Microblogging sites have become important data sources for studying network dynamics and information transmission. Both areas of study, however, require accurate counts of indegree, or follower counts; unfortunately, collection of complete time series on follower counts can be limited by application programming interface constraints, system…

In this paper, we present a qualitative case study on an online graduate program for practicing teachers and educators that explores contemporary mathematics and its integration into K to 12 education. Data for the study comprised students' work in the courses, student feedback, and notes from instructor debriefings for two cohorts of the program.…

In this theoretical paper, I review the history of research in educational psychology that inspired Shulman's notion of pedagogical content knowledge (PCK) and I critically examine interpretations of PCK reflected in prominent theoretical frameworks for mathematical knowledge for teaching (MKT). I propose a theory of PCK--grounded in radical…

Schools have been using various approaches to address the pandemic-related struggles that students are experiencing with mathematics. There is an overwhelming consensus among both educators and researchers that we need to adopt acceleration rather than remediation as a tool to counteract the challenges that students currently face. Acceleration is…

The United States has relinquished its mathematical prowess enjoyed in the 20th century with trending declines in performance on international and national measures and must make a concerted effort to regain this standing in the 21st century. Success in mathematics education also is important for individual citizens because it gives them college…

This paper reports on an exploratory study about probabilistic intuition in learning mathematics for decision-making. The analysis was carried out on a group of high school students in relation to their probabilistic intuition in problem-solving, after performing playful learning activities on a simulation platform specifically designed for this…

This article presents an original puzzle that supports students' development of visual thinking and geometry ideas based on the Van Hiele levels of geometric thought. The "Triangle Puzzle" is one of many tools teachers can use to guide students' learning of geometry. The Van Hiele's theory provides a way to assess and support this…

When given the opportunity to play with mathematical materials and ideas, children demonstrate their mathematical understanding in innovative ways. The open-ended nature of the "Pattern Blocks" activity provides agency for children to decide how to approach the tasks, ways to differentiate beyond more common pattern-block puzzle choices,…

This article describes how integrating children's literature in mathematics classrooms has proven to provide a common context that is suitable for problem solving and modeling that advances mathematical thinking and reasoning. The engaging task inspired by children's literature allowed this teacher to infuse science, engineering, technology, and…

The objective of this research was to evaluate the learning management and learning assessment abilities of preservice teachers in the Mathematics field. Additionally, it aimed to provide guidelines for the development of these abilities. The study group consisted of 34 practicum teacher students, 34 mentor teachers, and 14 experts. Data…

Previous research on the gender gap in mathematics indicates that, in the case of Spain, the gap is stable and has even increased during the last years both in primary and secondary education. The objective of this paper is to analyze whether this gender gap remains by changing the academic level and the way of measuring performance. A sample of…

The COVID-19 pandemic led to a global lockdown and compelled institutions to shift to emergency remote teaching. This transition and the lack of knowledge of using technology affected teaching practices, including assessment. Confronted with new contexts for assessment and threats to validity caused by ineffective proctoring, many instructors had…

Due to the growing interest in the integration of ethnomathematics in mathematics education, we undertook a systematic literature review and bibliometric analysis of research on the incorporation of ethnomathematics in geometry teaching from 2011 to 2021. The search for 37 relevant research articles was done on Google Scholar, Scopus, and by hand…