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…

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…

In this qualitative study, we investigated teachers' use of proportional knowledge resources while being asked to appropriately identify if a given situation was proportional or not using clinical interview data from a large grant funded project. We found that knowledge resources related to the mathematical structure of the situation were most…

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…

Background: Effective teaching of university chemistry in an online environment not only requires teachers to have specific discipline content knowledge; it also requires them to have knowledge and skills in technology-enhanced teaching practices. When transitioning from traditional face-to-face teaching into online contexts, teachers must learn…

Teacher knowledge, especially of proportional reasoning, is important, particularly in middle school grades in the United States. In this instrumental case study, one teacher's understanding of constant as it relates to proportions and how that understanding shifted over the course of a six hour professional development experience is discussed.…

The purpose of this study was to determine if the MathTwitterBlogosphere (MTBoS), an online community of practice, provides opportunities for mathematics educators to learn about the knowledge and conceptions that support the effective use of cognitively demanding tasks, including mathematical knowledge for teaching, visions of high-quality…

The nature of knowledge and how it is developed have been debated in philosophy and research for centuries. In the literature on teachers' knowledge, two perspectives have been particularly visible. One perspective stresses cognitive processes and deliberate knowledge acquisition. Another perspective stresses the situated nature of teachers'…

Writing competence holds an important place in the language development of multilingual writers, and it is regarded as the gatekeeper for ELLs' academic success and advancement to higher-level courses. It is essential that all teachers, not just the English as a Second Language (ESL) teachers, recognize themselves as teachers of linguistically and…

As several countries have committed themselves to the promotion of inclusive school systems, teachers might feel overwhelmed by the additional competencies needed for inclusive teaching. Beyond an increase in specialised knowledge, these competencies include a coherent belief system to facilitate the adoption of inclusive practices. Currently,…

Within initial teacher education there is increasing pressure to enhance the use of assessment data to support students to improve their knowledge and skills, and to determine what standards they meet upon graduation. For such data to be useful, both programme designers and students require meaningful and comprehensive assessment reports on…

The study investigated preschool teachers' pedagogical content knowledge (PCK) in mathematics. The construct of PCK for teaching mathematics in preschool involves three components: (1) noticing mathematical situations in which children engage; (2) interpreting the nature of children's math activity; and (3) enhancing children's mathematical…

The present study explores secondary school history teachers' knowledge of inquiry methods. To do so, a process model, outlining five core cognitive processes of inquiry in the history classroom, was developed based on a review of the literature. This process model was then used to analyze think-aloud protocols of 20 teachers' reasoning during an…

This book is an edited volume addressing specific issues of significance for individuals involved with the undergraduate mathematics content preparation of prospective elementary teachers (PSTs). Teaching mathematics content courses to this group of students presents unique challenges. While some PSTs enter their teacher preparation with weak…

The purpose of this study was to determine if and how engagement with an online community supports the development of three attributes identified by Wilhelm (2014) that teachers need to have in order to consistently select and implement cognitively demanding tasks, including mathematical knowledge for teaching, visions of high quality mathematics…