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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.

This study explores the teacher’s role for implementing a cognitive tutor (CT) intended to increase students’ knowledge of proportional reasoning and potential impacts on students’ learning.

Using a mixed methods approach to design-based research, the authors examine results from three different phases of the CT implementation using frameworks from mathematics education research.

Based on observations of 10 educators, the authors identify 4 different types of interactions among the CT, students and educators. Using observations and student assessment results (n = 134), the authors begin to build an argument that different types of interactions have the potential to impact students’ opportunities to learn in computer-directed learning environments.

The authors conclude that research on the efficacy of computer-directed learning environments should consider differences in implementation of CT materials and that the types of CT, student and educator interactions described herein provide a framework to support such exploration.

The national mathematics curriculum of Pakistan has emphasized on improving content knowledge, reasoning abilities and problem-solving skills of students about thinking, communicating and solving mathematics (national mathematics curriculum of Pakistan, 2006). Whereas, there is a need to understand the point of view of teachers about the challenges they face in achieving the goals of national mathematics curriculum. This will help leading teacher training institutions to revisit their math teacher continuous professional development (CPD) programs and facilitate school leadership in improving the quality of math education in rural schools of the province. However, the purpose of this research study is to figure out the challenges that teachers are facing while achieving the goals of the national curriculum by teaching mathematics at the primary level in educational institutes of Pakistan.

In this research study qualitative research approaches have been utilized, in which focus group discussions (FGDs) were used as data collection techniques. Furthermore, thematic analysis of the data led toward the development of four overarching themes such as teachers' knowledge about mathematics curriculum, challenges relating to mathematics content and pedagogy, difficulties in developing conceptual understanding and designing lesson plans to address students' diversity.

The overall findings of this research study suggested that the majority of teachers are facing difficulties in mathematics content teaching such as decimal fraction, unitary method, measurement principles, practical geometry and data handling. Moreover, teachers are also facing challenges and difficulties in developing hands-on and minds-on activities in the teaching of mathematical concepts to the students of primary level in educational institutes of Pakistan.

This research study will facilitate the teachers and stakeholders to address the problematic issues in the domain of content delivery of mathematics. Whereas, this study recommends educating teachers about national mathematics curriculum and to develop a CPD framework for mathematics teachers for the enhancement of their pedagogical content knowledge. The study also recommends orientating school heads about the different aspects of math curriculum so that they can mentor math teachers in achieving math curriculum goals.

This is the first research study of its nature, which targets and highlights the teacher's perceptions toward the achieving the goals of national mathematics curriculum of Pakistan and addressing the pedagogical challenges faced in mathematics teachers. There is a dearth of studies in mathematics education in Sindh province. The issue is of immense importance, the findings will help teachers to improve mathematics instructions at primary level.

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 study explored the impact of the King and Queen of Mathematics Initiative (KQMI) in promoting students’ interest in learning mathematics and improving their achievement. The specific objectives of the study focused on the impact of the initiative in promoting interest in mathematics, assessing the contribution of the initiative to students’ achievements and investigating challenges encountered by the initiative.

The study used a case study design with a mixed-method approach. One ward secondary school was involved. The sample size was N = 79, where 77 were grade three students in a science class and two teachers. Data collection involved documentary review, observation and interviews. Data analysis employed both content analysis and a dependent t-test to determine the effect size of the initiative.

The findings revealed that KQMI had a significant impact on improving performance in mathematics among students (t (71) = −7.917, p < 0.05). The study also showed that male students improved their performance more than their counterparts throughout the KQMI. The mathematics teacher revealed that students still need assistance to solve mathematical questions with different techniques to develop the expected competencies.

The initiative was conducted only in one school, limiting the findings’ generalization. Also, the innovation faced different challenges, such as accessing adequate resources and students with little knowledge of mathematics, which the initiative aimed to address.

Pedagogical innovations enhance the promotion of students’ interest in learning mathematics and hence improve their performance. Also, through pedagogical innovations, teachers improve their teaching skills and practices from students’ feedback.

The KQMI is a new pedagogical innovation modified from the existing innovations such as game-based method, task design, mobile learning and mathematics island.

This study aims to describe the feasibility of designing and fostering pre-service teacher inquiry at the intersection of community and disciplinary engagement. Mapping My Math (MMM), a game-based and mobile learning activity, guided pre-service teachers in playfully exploring mathematics featured in the everyday activities of people and places and creatively representing this inquiry with digital media.

This study draws from design-based research that examined the role of place, digital media and mobility in mathematics teacher education. Design narrative methods describe how MMM was created, implemented and refined to support disciplinary inquiry across settings given the evolution of tools, activities and practices. The study and design narrative address the following question: How can game-based and mobile learning be designed to support pre-service teachers’ disciplinary inquiry of everyday mathematics?

Findings shared in this study’s design narrative attend to the quality of pre-service teachers’ inquiry-as-play, or expressive mobility situated amonglearners’ social and material relations, disciplinary concepts and the built environment.

Implications from this study concern the role of mobile learning in mathematics teacher education to connect school, community and online settings; the potential of gameful design to impact pre-service teacher learning across settings; and the importance of fostering disciplinary inquiry whereby pre-service teachers can “navigate” their own learning.

Game-based and mobile learning designs, like MMM, can create the conditions for cross-setting mobility as generative of inquiry-as-play in mathematics teacher education. MMM encouraged pre-service teachers to playfully leverage disciplinary practices that shaped new relationships with mathematics, their city and the mathematics of place and community.

The purpose of this paper is to capitalize on the advantages of an evidence-based lesson analysis while proposing a method of research on teaching that offers opportunities for deeper reflections. The objective is to examine how well a transnational learning project such as this one can determine the cultural script of a mathematics lesson in Malaysia through the perspective of Japanese educators well trained in the lesson study approach. Emphasis here is on a cross-cultural analysis to view in depth the cultural script of teaching mathematics in Malaysia with particular focus on how teachers respond to students’ mistakes in a mathematics lesson.

This paper draws on data collected by the authors in a lesson study in Malaysia that aimed to provide a cross-cultural analysis of a Malaysian mathematics lesson (grade 10) through the eyes of Japanese educators. Data retrieved should determine the cultural script of a mathematics class in Malaysia with an emphasis on Malaysian teachers’ responses to students’ mistakes in class. The cross-cultural analysis of a lesson is a comparative method that reveals the hidden factors at play by increasing awareness of characteristics in classroom situations that are self-evident to all involved members.

The findings are intended to the cultural script of Malaysia in the context of “classroom culture regarding mistakes” and “mistake management behavior.” The impact on the quality of teaching and learning also discussed in relation to how it can be improved in practice from the following perspectives: the teacher’s attitudes toward student mistakes; how mistakes are treated and dealt with in class; and how learning from mistakes is managed. The data in Table II provide a meta-analysis of evidences of “classroom culture regarding mistakes” and “mistake management behavior” of the teacher from the Malaysian researchers and practitioners’ perspective as well as from the lens of the Japanese educators.

This study realizes that both sets of research studies value the importance of mistakes. It is important to identify the source of students’ mistakes and further learn from them. In order to reveal the overall structure of the cultural script of lessons, we need to realize that various cultural scripts are at work in the production of any given lesson. In the future, the authors hope to develop the potential of this view of culture script of teaching through cross-cultural analysis for lesson study and curriculum research and development.

This study aims to capitalize on the advantages of evidence-based lesson analysis through the lesson study process while proposing a method of research on teaching that offers opportunities for deeper reflections. The objective is to examine how well a transnational learning project such as this one can determine the cultural script of a mathematics lesson in Malaysia through the perspective of Japanese educators well trained in the lesson study methodology.

The authors need to obtain reflective feedback based on concrete facts, and for this reason “lesson study,” a pedagogical approach with its origins in Japan, is attracting global attention from around the world. This study focuses on the discrete nature, the progression, significance, and the context of lessons. That is, by avoiding excessive abstraction and generalization, reflection based on concrete facts and dialogue retrieved from class observations can be beneficial in the process. The mutual and transnational learning between teachers that occurs during the lesson study process can foster the building and sharing of knowledge in teaching practice.

There is currently little empirical research addressing “classroom culture regarding mistakes” which mostly represents how teachers and students learn from mistakes in the classroom. This study focuses on a cross-cultural analysis to view in depth the cultural script of teaching mathematics in Malaysia with particular focus on how teachers respond to students’ mistakes in a mathematics lesson. The following perspectives are examined: the teacher’s attitudes toward student mistakes; how mistakes are treated and dealt with in class; and how learning from mistakes is managed.

The purpose of this paper is to examine how elementary school teachers integrated technology into their mathematics teaching in classroom settings that were one-to-one computer environments for most of the day. Following a series of classroom observations and interviews, inductive qualitative analyses of data indicated that teachers felt that technology supported students’ mathematics learning and prepared them for their future where technology was important. However, observations indicated that despite teaching in one-to-one environments, students only used technology on rare occasions or if they finished activities early. Further, these technology-based activities were low-level review of mathematics computations. Implications include the need to provide effective support to teachers about integrating technology in meaningful ways.

This study involved classroom observations of two-third grade teachers.

Findings indicate that teachers used Chromebooks in one-to-one classrooms to provide students with extra practice on computational skills.

There is a need for future studies to look at teachers’ use of technology and its influence on student learning.

Teacher education programs and school leaders should provide opportunities for current and future teachers to learn about technology with content specific examples.

This study provided an examination of all of the third grade teachers in a school who all were teaching mathematics in one-to-one classroom environments.

There is very little research of Black male mathematics teachers from African countries teaching in the USA, specifically, their preparation and teaching experiences. The purpose of this study is to shed light on three Black male mathematics teachers from two African countries teacher preparation and teaching experiences in three African countries and the USA.teachers.

This study used a qualitative narrative research design to examine the teacher preparation and teaching experiences of Black African male mathematics teachers.

The results of this study reveal that the Black African male mathematics teachers participated in traditional and alternative teacher preparation programs that were unique to the African countries. The results also revealed that these teachers saw their teacher preparation program in the USA as preparing them to teach in this context. The results also revealed that all three of the teachers’ experienced success teaching struggling learners and English language learners mathematics in African countries and the USA.

This study is limited to a small participant pool of three Black African mathematics teachers that cannot be generalized to other Black male teachers. There needs to be more research of Black male mathematics teachers, in general, and those from other countries, specifically. There also needs to be more research of Black male teachers’ teaching practices that are successful with Black students as well as English language learners.

Based on the study findings, policy-makers and stakeholders interested in recruiting and retaining Black male teachers and specifically, in mathematics needs to expand conceptualization and definitions to include those from other countries.

This results of this study add a valuable contribution to the research of Black male teachers, in general, and mathematics, in particular. It expands conceptualizations of who constitutes a Black male teachers in the USA.