Knowledge required to teach mathematics at the university level is a current and relevant research topic in Mathematics Education. Thus, the case study presented in this article pertains to one mathematics lecturer whose knowledge is examined focusing on his delivery of a Multivariable Calculus course. The data required were gathered via classroom…

As technology becomes increasingly prominent in modern mathematics education, there's a growing need to understand the essential knowledge mathematics teachers need to effectively integrate technology in algebra instructions. This study therefore enhances the current Knowledge of Algebra for Teaching (KAT) framework, which theorises teachers'…

Research has accumulated on the effects of teachers on student achievement, especially in mathematics. However, empirical evidence regarding the impact of formal teacher competence indicators presents a mixed picture. This study explores the influence of educational level, subject -- and grade-specific specialization, teaching experience, and…

With the changes in Common Core State Standards, it was essential to explore how elementary pre-service teachers' sense of fractions is developing and their thoughts about how to teach fractions. A gap in practice exists because it is unknown how pre-service elementary teachers, after student-teaching, perceive their level of in-practice knowledge…

Real-world mathematical problem (RWMP) solving and posing are important aspects of teaching and learning mathematical modelling, as well as developing a mathematization disposition for both teachers and students. Several researchers have explored blockages or difficulties in such modelling processes and in problem posing. However, prior research…

Various studies have shown that epistemological beliefs affect personal learning and teaching performances. Therefore, epistemological beliefs have become an attractive object of research with different methods of survey. A distinction can be made between denotative and connotative aspects of beliefs, the former being reflected upon, explicit…

The increase in online education has implications for mathematics teacher educators who are tasked with teaching mathematics content and pedagogy to pre-service teachers (PSTs) who do not attend on-campus. Concerns about PSTs' content knowledge continues to be an ongoing issue, and ways to address this, especially in an online environment, require…

The study explores the integration of technology in teaching mathematics, providing current secondary mathematics teachers with effective practices and guiding future mathematics teachers toward a technology-pedagogical approach. In this study, I focused on effective teaching practices with technology in teaching mathematics to current secondary…

Across the U.S., schools are seeing improved outcomes tied directly to actions aligned with the Standards for Professional Learning developed by Learning Forward -- a research-based framework for designing and implementing professional learning that transforms teaching and boosts student success. Investments in these types of high-quality…

Affective and cognitive processes may be jointly researched to better understand mathematics learning, paying special interest to emotions related to knowledge acquisition. However, it remains necessary to explore these processes in studies linked to the education of pre-service mathematics teachers. This study aims to characterize epistemic…

Most elementary teachers (ETs) have majors in the humanities as undergraduates and much of the pedagogical training in a teacher preparation program tends to focus on literacy, so many ETs lack math pedagogical content knowledge and have a stronger knowledge of, and how, to teach literacy (Gonzalez-DeHass, et al., 2017; Bursal & Paznokas,…

Mathematics teacher educators have suggested preservice mathematics teachers' (PMTs') practices provide evidence of their mathematical knowledge for teaching (MKT). PMTs engage in approximations of practice to rehearse teaching. To explore connections between MKT and PMTs' practices, we operationalized six MKT subdomains in terms of approximations…

This study used units coordination as a theoretical lens to investigate how whole number and fraction reasoning may be related for preservice teachers at the conclusion of a math methods class. The study contributes quantitative evidence that units coordination provides a common foundation for both mathematical knowledge for teaching whole number…

Today's educational changes necessitate that teachers have a broad range of knowledge, values, skills, and competencies to provide effective instruction. Despite this, research on mathematics teachers' readiness for such changes is limited, particularly in terms of leveraging experienced teachers' implicit knowledge for peer learning. This…

Due to the nature of the teaching environment, students may often develop perceptions of their lecturers' ability as mathematicians, based on the pre-prepared and well-rehearsed content they present. In reality, performing mathematical calculations and solving problems is a difficult skill, and students may compare their own experiences…