This paper presents Irish-medium immersion (IMI) teachers' perceptions of their development of content knowledge of language (CK-L) and pedagogical content knowledge of language (PCK-L) as a result of engaging in form-focused professional development (PD) which combined both content knowledge and pedagogical learning outcomes. An intervention,…

This paper sought to explore the Knowledge of Algebra for Teaching and the algebra difficulties of In-field and Out-of-field Junior High School mathematics teachers using the expanded KAT framework. The study employed the descriptive survey design and involved the participation of 374 mathematics teachers using an achievement test instrument. The…

Scalable and accessible professional development programs have the potential to address the opportunity gap many teachers experience. Yet many asynchronous online programs lack interaction with and timely feedback to teachers. We addressed this problem by developing a virtual, interactive program that uses intelligent tutoring systems to provide…

In this paper, we extend our previous work on challenges teachers face when engaging with proportional reasoning contexts to investigate two contexts that included four problems for middle grades teachers to solve as well as eight student solutions. Analysis included coding for correct solving of the problem as well as making sense of and…

This case study explores the degree to which mathematical knowledge for teaching can be developed by prospective teachers in a multi-site teacher education context. The majority of the article focuses on a description of the target middle level mathematics endorsement program, including distance-based instructional norms, community building…

Research indicates that a large percentage of students have misconceptions of the equal sign and that this can be detrimental to their mathematical pursuits as they progress through algebra. In order for students to develop a strong understanding of the meaning of the equal sign, algebra teachers must be aware of the viewpoints their students will…

This study investigated relationships between changes in certain types of coaching knowledge and practices among mathematics classroom coaches and how these explain changes in the attitudes, knowledge, and practice of the teachers they coach. Participants in this study were 51 school-based mathematics classroom coaches in the USA and 180 of the…

Despite the impetus from professional organizations for science and mathematics integration, few teacher training programs provide opportunities for teachers to develop the knowledge and skills in effective content integration. This study reports on the impact of a graduate course on in-service middle school, math, and science teachers'…

Understanding signed quantities and its arithmetic is one of the challenging topics of middle school mathematics. The "specialized content knowledge" (SCK) for teaching integers includes understanding of a variety of representations that may be used while teaching. In this study, we argue that meanings of integers and integer operations…

This study examined middle and secondary mathematics teachers' knowledge structures and informal inferential reasoning (IIR). Using task-based clinical interviews (Goldin, 1997) and cross-case analysis, nine teachers responded to four LOCUS assessment tasks (Jacobbe, 2016). Responses were used to construct knowledge structure maps for measures of…

Recognising teachers' knowledge as one of the main factors influencing their practices and student learning, we aim to contribute to obtaining a better and deeper understanding of the specificities of teachers' mathematical knowledge. A case study involving one 8th-grade Chilean mathematics teacher is presented in the context of rational numbers.…

While rural communities are not monolithic, many have seen recent shifts in demographics from historically homogenous populations to more racially, culturally, and linguistically diverse residents (e.g., Sharp & Lee, 2017; Brenner, 2016). Such shifts can occur very rapidly as new regional economic, social, or political forces emerge and are…

While there is considerable scholarship describing principles for effective professional development, there have been few attempts to examine these principles in practice. In this paper, we identify and examine the particular design features of a mathematics professional development experience provided for middle grades teachers over 14 weeks. The…

As young children increasingly use the Internet, the children need to learn and apply cybersecurity fundamentals to protect personal data. Teaching young students the basics of strong passwords and data protection in a K-12 classroom setting is an obvious starting point. The literature shows an absence of approved cybersecurity curriculums for use…

In order to corroborate and grow teacher educator knowledge (TEK) scholarship, this paper describes an in-depth-focused exploration of a group of teacher educators providing professional development. Our grounded data analysis allowed us to define different major elements, sub-elements, and components that comprise TEK, as well as make explicit…