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…

Future mathematics teachers must integrate their knowledge of mathematics, pedagogy, and learners to effectively teach mathematics. Historically, these different forms of knowledge were taught separately in teacher preparation and left to the preservice teacher to integrate on their own. This raises the question; what resources can be leveraged to…

Through a constructivist lens, this dissertation research (a case study) examines the problem of how elementary teachers' MKT might be related to their ways of implementing and adapting mathematical tasks to promote students' construction of multiplicative reasoning. In particular, this study addresses the following four research questions: 1.…

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…

We present evidence of a secondary school teacher's Knowledge of Mathematics Teaching when she teaches linear equations in a word problem setting. We focus on analyzing the examples and mathematics support that she provides her students with during two classes. When faced with contingencies, she takes decisions whereby she adapts or creates…

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…

What is the connection between advanced mathematics and teaching secondary mathematics? I address this question, drawing on insights from the Special Issue on "Personal Mathematical Knowledge in the Work of Teaching" ("CJSMTE" 13(2), 2013) and reflecting on my personal teaching experience.

The author explored the extent to which policy could be a source of sustainable professional development for elementary teachers' mathematical knowledge for teaching. The study involved three policies in England: the National Numeracy Strategy and the Primary National Strategy, introduced in response to concerns regarding mathematics teaching and…

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…

It is a challenge for mathematics teachers to provide activities for their students at a high level of cognitive demand. In this article, we explore the possibilities that history of mathematics has to offer to meet this challenge. History of mathematics can be applied in mathematics education in different ways. We offer a framework for describing…