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This study aims to highlight the perspectives of one black male middle-school mathematics teacher, Chris Andrews, about developing black students’ positive mathematics identities during his first year of teaching middle-school mathematics in a predominately black school. The author’s and Chris Andrews’ shared experiences as black Americans opened the door to candid conversations regarding the racialized mathematical experiences of “our” children, as he referred to them during the interviews.

The author used case study methodology (Yin, 2009) to illuminate Chris’s salient academic and personal experiences, approaches to teaching mathematics and ways that he attended to mathematics identity in practice. The author used sociopolitical and intersectional theoretical framings to interpret the data.

Chris’s perspective on teaching mathematics and developing mathematics identity aligned with taking a sociopolitical stance for teaching and learning mathematics. He understood how oppression influenced his black students’ opportunities to learn. Chris believed teaching mathematics to black children was his moral and communal responsibility. However, Chris’s case is one of tensions, as he often espoused deficit perspectives about his students’ lack of motivation and mathematical achievement. Chris’s case illustrates that even when black teachers and black students share cultural referents; black teachers are not immune to the pervasive deficit-oriented theories regarding black students’ mathematics achievement.

The findings of this work warrant the need to take intersectional approaches to understanding the ways of knowing that black male teachers bring to their practice, as Chris’s identity as a black person was an interplay between his black identity and other salient identities related to ability and social class.

Chris, even while navigating deficit-oriented perceptions of his students, provides an example of bringing a sociopolitical consciousness to teaching mathematics and to support novice black male teachers in their content, pedagogical, and dispositional development.

This work adds to the limited body of literature that highlights the experiences of black teachers in a subject-specific context, particularly in science, technology, engineering, and mathematics (STEM) subject areas that have historically marginalized the participation of black people.

The purpose of this paper is to report findings from a systematic literature review that explore how recent research on instructional leadership has addressed the role of mathematics and science instruction.

Using Hallinger’s (2014) approach to conducting systematic reviews, the review included 109 peer-reviewed articles published since 2008 in leading mathematics and science education journals. An a priori coding scheme based upon key leadership behaviors articulated in Hitt and Tucker’s (2016) unified leadership framework informed the analysis presented.

Results indicate that leaders support content area instruction by facilitating high-quality instructional experiences through curricular and assessment leadership. Leadership frequently involves establishing organizational conditions that support teachers’ efforts to improve their own practice instead of direct leadership action on the part of instructional leaders. This support takes different forms and can include distributing leadership to teacher leaders with content area experience as well as using resources strategically to provide professional development or instructional coaching.

The review strengthens the connections between the instructional leadership, mathematics and science literatures, and identifies some of the leadership practices that these literatures deem important for instructional improvement. The review also reveals the potential for future research exploring the influence of a particular content area on supervisory practice and leadership discourse.

The purpose of this paper is to propose and evaluate a proactive reflective activity for mathematics student teachers in which they consider mathematical content and its teaching in highly specific classroom situations.

The study was conducted in context of a mathematics Initial Teacher Education programme in the UK. Participants were invited from the whole cohort of student teachers to identify, script and reflect upon critical classroom incidents. In total, 12 such scripts were produced and then discussed by 17 student teachers in group and plenary sessions. Discussions were audio-recorded. Scripts and discussions were analysed according to four characteristics: consistency between stated pedagogical priorities and intended practices; specificity of the reflection to the classroom situation reported in the scripts; reification of pedagogical discourse; and, reification of mathematical discourse.

In the results, the authors exemplify student teachers’ insights that emerged from the analysis of the scripts through the typology of the four characteristics, and the authors observe that the student teachers’ insights mirror the complexity and richness of the mathematics classrooms they face. The authors’ examples and their evaluation through the aforementioned typology of the four characteristics illustrate the potency of student teachers’ participation in producing, and reflecting upon, individually and collectively, critical incidents of their inaugural experiences in the classroom.

As these activities take placein the context of teacher education, professional development or developmental research environments, an additional challenge is to generate robust and informative evaluation of teachers’ engagement with reflection and research on their practice. This study takes on this challenge in the context of a mathematics teacher education programme in the UK: the authors propose and evaluate a proactive reflective activity for mathematics student teachers in which they consider mathematical content and its teaching in highly specific classroom situations.

The examples and their evaluation through the typology of four characteristics illustrate the potency of student teachers’ participation in producing, and reflecting upon, individually and collectively, critical incidents of their inaugural experiences in the classroom.

Research over the last decade or so has made it clear that quality teachers matter to student achievement. What is less clear is the ways in which they matter and how we can prepare such high-quality teachers. Nowhere is this lack of clarity more evident than in special education, where we have few studies on teacher quality and even fewer studies on the type of preparation opportunities that would lead to high quality. Thus, it is difficult to make evidence-based decisions about how quality special education teachers should be defined and prepared. As a field, we have to turn to research in general education to provide a sense of some of the dimensions of teacher quality and effective teacher education. In this chapter, we provide a summary of the research on characteristics of highly qualified teachers and what we know from the research on teacher education and professional development that might foster these qualities, both in general and in special education. Part of our discussion centers on the concerns surrounding this body of research and the challenges of applying the findings to the field of special education. Although these challenges pose considerable problems, we are optimistic that potential solutions exist and can be reached through an alignment of initial teacher education and induction.

In this chapter, we develop an argument in support of comparative framing in teacher education research with the purpose of strengthening the education profession and particularly the professional field of teaching and teacher education. There is little agreement in the field on the required knowledge needed to become a highly effective teacher and on how to know that teachers know enough of a subject to teach it. We argue that comparative and collaborative cross-national studies serve as ideal catalytic forces to develop much-needed ontologies to develop definitions and realize contrasts, possibilities, and limitations. The construction of ontologies supports the epistemological bases of the profession. Comparative studies help to understand what others with similar goals such as the education and support of teachers have been able to achieve under what conditions, resources, and contexts.

The authors investigate the use and potential of a theoretical combination of Realistic Mathematics Education (RME) and the Theory of Didactic Situation (TDS) to support Lesson Study (LS) in upper secondary mathematics.

Case study performed by university researchers, based on theoretical analysis and case studies based on documents and observation from lesson studies.

Even within a project lasting just about three years, teachers (with no preliminary experience of lesson study) engaged in lesson design based on the combination of theoretical perspectives from TDS and RME in ways that confirm the potential of that combination to enrich and focus teachers' professional development within the framework of LS . It is not clear to what extent the intensive and continued engagement of university researchers has been or would be essential for similar and longitudinal realizations of these potentials.

As current European frameworks seek to engage researchers and teachers in collaboration and exchange across countries, networking of major paradigms of research (like TDS and RME) and uses of them as supports for teachers' inquiry (like demonstrated in this paper) is of considerable institutional interest and potential impact on schools.

Teachers' Inquiry in Mathematics Education (TIME) is a prerequisite for the development of Inquiry Based Mathematics Education, which in turn is required in many countries across the world, with the aim of fostering critical and competent citizens.

This combination of (major) mathematics education theories to support and enrich LS has not previously been investigated. While several aspects of adapting to LS Western contexts have been investigated in the past, including the inclusion of perspectives and tools from academic research, the role of university researchers is also quite open. While authors do not offer a systematic study of this role, authors examine how this role may involve development of new practical combinations of different, complementary theoretical tools, which indeed hold potential to support lesson study in a European context.

The purpose of this paper is to explore what professional knowledge and competence (PKC) that knowledgeable others, namely, mathematics teaching research specialists (MTRS) in China, need to know, and how they may develop their PKC.

This study adopts mixed methods. A survey on PKC with 549 MTRS is utilized to examine MTRS’ perceived held and ideal PKC and perceived effective ways of developing their PKC. The responses to the open-ended questions on the survey were used to identify additional dimensions of PKC and ways of developing PKC. Multiple techniques of quantitative data analysis were employed to feature the characteristics of PKC and structure of the survey, and the relationship between background variables and perception of PKC. Collectively, this study paints a rich and comprehensive picture about Chinese knowledgeable others’ knowledge and competence, and its development.

The data analysis reveals that the participants appreciated the six-dimension model of MTRS’ PKC. They were confident with their PKC in general, but varied in different aspects. The factor analysis showed the six-dimension model could be further clustered into two components: knowledge about mathematics teaching and learning and competence in mentoring and educational leadership, and knowledge about content, assessing student learning, and use of technology. The participants perceived their learning through multiple ways including: learning through reading, attending specific training programs, attending and mentoring teaching research activities both school-based and across regions, observing and debriefing lessons, sharing within online learning communities. All these venues jointly contribute to developing MTRS’ PKC.

This is the first empirical study on MTRS’ PKC and its development in China based on such a large sample. The findings of this study not only contribute to an understanding of knowledgeable others in Chinese lesson study and providing suggestions for support of their development, but also provide implications for studies of practice-based mathematics teacher-educators globally.

Elementary teachers' understanding of mathematics is a significant contributor to student success with mathematics. Consequently, teacher educators are frequently charged with the responsibility of supporting the development of prospective elementary teachers' mathematics content knowledge as they re‐learn concepts in ways they are required to teach. The purpose of this paper is to describe one teacher educator's efforts to support prospective elementary teachers' tenuous understanding of rational numbers.

Given the variety of factors influencing the development of teacher knowledge, a mixed method research design was utilized. Research participants were prospective elementary teachers enrolled in a nine‐week elective course who agreed to participate in the study (n=40); while the control group were prospective elementary teachers not enrolled in the elective course (n=35).

The results of this study indicate that it may be possible to improve prospective teachers' conceptual understanding of mathematics by providing additional short‐term support, such as an elective course and/or web‐based video clips. However, the program intervention can only build upon the existing knowledge that prospective teachers bring when they begin their Bachelor of Education programs.

For prospective teachers with a limited foundation in mathematics (e.g. less than four secondary school mathematics courses), short‐term support may be insufficient to compensate for their nebulous understanding of rational numbers. Based on this finding, one‐year Bachelor of Education programs might consider, either: including Grade 12 mathematics as a pre‐requisite for elementary teacher applicants; or mandating enrolment in a full‐year math content course similar to the elective course described in this paper.

In the USA, school districts are funding mathematics coaching positions to provide school-level support to teachers. The purpose of this paper is to survey school personnel whose job responsibilities included mathematics coaching in order to examine their job responsibilities and what they felt that their job responsibilities should be.

In all, 67 elementary school mathematics coaches completed a survey that included 30 aspects of the job of elementary school mathematics leaders.

Quantitative analyses indicated that there were statistically significant differences between their actual roles and their preferred roles on 24 of the 30 items. This means that coaches reported that the aspects of their current role did not align to what they thought their job should be.

The findings indicate a need to collect further information in a longitudinal study, potentially from a combination of surveys, interviews, and observations, about elementary mathematics coaches’ job responsibilities and the impact that coaches have on both teachers and students.

The findings indicate a need for school leaders, mathematics leaders (coaches), and classroom teachers to work together to utilize mathematics leaders more effectively so as to best support teachers’ instruction and students’ learning.

While some research has been published on literacy coaching, the research base on mathematics coaching is scant. This study contributes to the knowledge base about the roles and duties of coaches in elementary school settings.

The main purpose of this study was to explore how engaging in lesson study enhances secondary school mathematics teachers’ pedagogical practice in lesson planning in Jimma, Ethiopia.

The study employed a design-based research approach with qualitative and quantitative data collected from two secondary schools, and 12 mathematics teachers. A purposive sampling technique was used to select participants. Interviews, observations, questionnaires and document analysis were the main sources of data. Qualitative data were analyzed using themes with the support of Atlas-ti qualitative data analysis software. Quantitative data were analyzed using the Wilcoxon ranked signs test.

The findings revealed that engaging secondary school mathematics teachers in lesson study enhanced their lesson planning competence. As a result, teachers began to carefully plan detailed lessons, use curriculum materials and create more student-oriented lessons. Lesson study was found to be a potent model on which to build secondary school mathematics teachers’ lesson planning competence. Hence, it would be rewarding to integrate lesson study into the present school-based teachers’ pedagogical capacity-building program in the study settings.

The data were collected from particular localities with a small sample size in the quantitative phase. Therefore, it is difficult to generalize to the entire secondary school teachers in the country. However, thick descriptions were provided that would allow readers to determine the transferability of the findings to their specific school context. Future research should investigate the effects that enhanced TPP in lesson planning has on teachers’ mathematics teaching in more schools using a larger sample size.

This study provides insight into and empirical evidence of how engaging in the process of LS is essential to enhance teachers’ lesson planning competence. It adds important knowledge to a small but growing model of lesson study research. It also informs future researchers in the practical use of LS where lesson planning is a crucial concern in many secondary schools of the country.

This research was originally conducted to build mathematics teachers' pedagogical practice in lesson planning through lesson study in Ethiopian secondary school contexts.