The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lectures and active learning. Under the discussed classroom model, there are two lecture days and two discovery-based discussion days each week. Discussions center around…

Mathematical understanding in early childhood lays the foundation for children's later academic achievement, yet little is known about individual differences in U.S. early childhood educators' mathematics instruction in preschool classrooms. The present study explored the range of intentional mathematics instruction occurring in early childhood…

This study looked at the effectiveness of differentiated learning in enhancing students' mathematical outcomes by incorporating varied content, processes, and products. Employing a mixed-methods experimental design, the research hypothesized that differentiated instruction significantly influences students' performance in mathematics exams. The…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

This paper describes a course designed to introduce students to mathematical thinking and a variety of lower level mathematics topics using baseball while satisfying the goals of quantitative reasoning. We give suggestions for sources, topics, techniques, and examples so any mathematics teacher can design such a course to fit their needs. The…

The adequate preparation of future teachers of mathematics is critical, requiring sufficient opportunities to develop both pedagogical skill and content knowledge. Yet, despite new recommendations for mathematics teacher preparation, we know little about the landscape of course-based learning opportunities in US elementary teacher education…

The success of the teaching - learning process in terms of learning outcomes is determined by several factors, primarily the lecturer's teaching approach used. Despite the importance of the teaching approach, little is known concerning the teaching approaches used by mathematics lecturers in Tanzanian higher education institutions. This study…

It is difficult for mathematics teachers to find and utilize relevant historical content for their students. In this study, we aimed to examine how prospective mathematics teachers (PMTs) evaluate the history of mathematics (HM) in curriculum resources and how they integrate the HM into lesson plans. We collected data through PMTs' evaluation…

Cornell University has long offered a Calculus for Life Sciences course. In this case study, we report on how a team of pure mathematicians has modernized both the content and teaching methods of this course. The content went from a standard calculus course with few genuine applications in the life sciences to a course focusing on dynamical…

Psychoanalysis is largely overlooked in mathematics education, yet is relevant to many aspects of the field, such as the institution of the school, curriculum and instruction, and content. Specifically, one content area where psychoanalysis is both exceedingly relevant and absent is that of probability education. In this critical literature…

We were interested in exploring the extent to which advanced mathematics lecturers provide students with opportunities to play a role in considering or generating course content. To do this, we examined the questioning practices of 11 lecturers who taught advanced mathematics courses at the university level. Because we are unaware of other studies…

Teaching methods courses are a crucial factor in the preparation of secondary mathematics teachers. Throughout the United States, secondary methods courses have diverse curricula, including variation in the topics covered in these courses. To assess this variation, the authors identified 41 topics potentially valued by secondary methods…

Old habits die hard, particularly when they are part of the unexamined norms of schooling. In "Why Are We Still Doing That?," the best-selling authors of "Total Participation Techniques" lead a teacher-positive, empathetic inquiry into 16 common educational practices that can undermine student learning: (1) Round robin reading;…

The effect of symbolic form model on students' interest in logic content of the mathematics curriculum was investigated in this study. The research was guided by three research questions and three hypotheses. The study used a quasi-experimental design. The population of this research was 2,342 SS2 learners in Enugu State, Nigeria. A sample of 172…

Preschool through third grade (P-3) alignment is regularly named as a key aspect of early childhood education and the transition to formal schooling. However, little is known about P-3 alignment in practice. Using data from 265 observations of math instruction in preschool, kindergarten, first-, and third-grade classrooms in New York City public…