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Departmental writing retreats for academics in higher education are one of the strategies used to enhance publication outputs and information sharing as well as the development of research discourse. Using a collaborative autoethnographic reflexivity approach, the aims of this consolidative analysis were to identify the attributes that the participants (seven Mathematics Education researchers) regarded as effective in the online writing retreat and examine the components of the writing retreat that facilitated publication output. This paper employs Wenger's Community of Practice as the theoretical frame to critically evaluate reflective experiences from the online writing retreats. Fairclough's Critical Discourse Analysis was used to analyse reflective experiences. The analysis unearthed many personal research needs and some of the key elements of the writing retreat that were regarded as conducive to fast tracking and advancing publication outputs. The elements I focus on in this paper are protected quality time and space to write; formation of a community of practice and attending to reviewers' post-review comments. The contention is that researchers can achieve greater publication outputs for their departments and organisations during the writing retreats, particularly when provided with critical and formative feedback on their writing. Further research should be conducted to explore and examine researchers' experiences of attending the writing retreats, especially using online platforms, as well as understanding the elements of writing retreats that advance the publication outcomes.

In this paper we present findings from an initial phase of a more extensive study focussed on ways in which prospective mathematics teachers negotiate meaning from mathematics teacher education situations. The focus of this paper is on the language of one mathematics teacher educator and specifically the interpersonal aspects from one mathematics teacher education lecture in Sweden for prospective upper-primary school teachers. We draw on the enactivist view of cognition as a theoretical basis for a methodology we develop that utilises Systemic Functional Linguistics as an analytical tool for studying language-in-use. We exemplify our interpretations through a series of extracts from the mathematics education lecture. This initial phase of our study has exposed several important questions about how participating in an initial teacher education situation may contribute to the development of teacher identities, questions we raise throughout our analyses to provoke further investigation as part of our future research.

The research question studied in this paper is how teachers' task designing can be enhanced in professional development. We show that this can be done by scaffolding. Scaffolding is used in problem solving and we apply it by considering designing a task as a problem. In the paper, we describe a professional development of four teachers led by a mathematics educator. The professional development consisted of 10 meetings. The teachers were first exposed to a well-designed task in geometry as learners and then were asked to design new geometry tasks for their students. The mathematics educator helped them by supplying scaffolds such as modelling, reflection, articulation and worked examples. The data consisted of video-recordings of the workshops and a semi-structured interview with each of the teachers at the end of the project. The data analysis shows how the use of particular scaffolds was helpful while preserving the teachers' autonomy as task designers.

Operations Research (OR) is a branch of applied mathematics that deals with optimization problems arising from different real contexts. The solving process of its problems is based on the construction and resolution of mathematical models, showing the possible connections between mathematics and the real world. Nevertheless, OR is not typically included in most curricula of higher secondary schools (i.e. Grades 9-12), but it is usually presented mainly at university level. To show how OR could be significant for these school students' education, the authors of this paper developed an educational project consisting of three teaching units. In this paper, we share the result of the teaching experiment related to the first unit, addressed to Grade 10. Qualitative and quantitative analyses show how it is appropriate to include OR and its typology of problems in regular school mathematics lectures. Second, these data also show how modelling and problem-solving skills, developed working with OR, can be fostered by implementing a collaborative way of working, also by making use of digital technologies. Last but not least, we demonstrate the positive impact such activities have on students' appreciation of OR.

Purpose: There is some evidence to suggest that the historical challenge associated with recruiting and retaining Black and Brown Science, Technology, Engineering and Math (STEM) collegians is tied to early their teaching and learning experiences in Mathematics. This paper describes an National Science Foundation (NSF) funded project (NSF #2151043) whose goal is to attract, prepare and retain math teachers of color in high need school districts ensure that those teachers remain in the field long enough to make a meaningful impact on the minds and hearts of BIPOC students who are often, extrinsically, and intrinsically, discouraged from pursuing careers in STEM professions. Design/methodology/approach: This mixed-methods study, which began in the summer of 2023, seeks to recruit, prepare, support and retain nineteen (19) Black and Brown math teachers for two (2) high need urban school districts. The expectancy value theory will be used to explain the performance, persistence, and choices of the teachers, while grounded theory will be utilized to understand the impact of the intensive mentorship and wellness coaching that applied over the first year of their preservice preparation and subsequent in-service years. Findings: Measures of project efficacy won't begin until 2025 and as such there are no findings or implications to draw from for the study at this time. Originality/value: The intention of this paper is to augment the body of knowledge on recruiting and retaining Black and Brown math teachers for urban schools where the need for quality STEM teachers is critical.

This study was performed to determine preservice elementary mathematics teachers' solution performance of systems of linear equations using geometric representation, algebraic representation and transition from geometric representation to the algebraic representation and the predictive role of preservice elementary mathematics teachers' performance of different representation usage on their systems of linear equations self-efficacy perceptions. The research follows the prediction model, which is one of the relational screening models. The data were obtained by using the 'Systems of Linear Equations Self-Efficacy Test' developed by Kardes [Kardes, D. (2010). Matematik ögretmen adaylarinin lineer denklem sistemleri çözüm süreçlerinin öz-yeterlik algisi ve çoklu temsil baglaminda incelenmesi [An investigation of the processes of pre-services mathematics teachers? Solving systems of linear equations within the context of self-efficacy and multiple representations] [Master's thesis]. Marmara University. Turkish Higher Education Council thesis repository (#264144). https://tez.yok.gov.tr/UlusalTezMerkezi/] and the 'Systems of Linear Equations Performance Test' developed by the researchers. Because of the research, it was found out that preservice teachers' algebraic representation performances and their self-efficacy perceptions were at the maximum level when the number of equations and unknown variables was equal (m = n). Additionally, due to the multiple regression analysis, preservice teachers' performances on geometric representation, the transition from geometric representation to algebraic representation and systems of linear equations in R[superscript 3] were determined to be significant predictors of their self-efficacy perception. [This study was presented as a verbal announcement at the International Symposium on Active Learning-ISAL 2019 symposium.]

Online learning became a necessity in many places during the COVID-19 pandemic. In the case of Hong Kong SAR, the pandemic provided a unique opportunity to establish blended learning as a norm. The authors discuss the insights and challenges related to delivering mathematics lessons online in a secondary school during and after the pandemic. A three-year-long case study was conducted to examine the differences in perceptions between a teacher and his five students regarding online mathematics instruction during the suspension of traditional in-class lessons in 2020 and after the resumption of traditional instruction in 2023. The Social-Ecological Approach with domains of structure, agency, and cultural practice was applied in the study, which investigated the perceived benefits of blended learning for both the students and the teachers. Data was collected via interviews. The study explored technological challenges, curriculum adaptations, and the impact of parental support on blended learning. Looking ahead, leveraging motivators like easy access while mitigating distractors through disciplined strategies can optimize blended learning environments. The insights gained from this study provide valuable guidance on the effectiveness of instructional strategies and technological tools, highlighting the features of best practices for future blended learning approaches. Furthermore, the paper provides valuable information for policymakers, educators, and educational technology developers.

In recent years, there has been an increasing amount of literature on online teaching and learning. Teaching mathematics in the fourth industrial revolution offers entry-level mathematics teachers formidable challenges. Despite using various teaching aids in explaining the learning area, entry-level mathematics teachers, those with zero to three years of teaching experience, have experienced challenges in blended teaching during the COVID-19 pandemic. Such challenges could support the preconceived notion identified by others that the field of learning (mathematics) is difficult. This paper hinged on constructivist epistemology and investigated the challenges that entry-level mathematics teachers face in conducting blended teaching in the Sedibeng West District of Gauteng Province in the Republic of South Africa. Eight entry-level mathematics teachers were purposely sampled from four selected schools that participated in the article. This article adopted a case study design and responses were analysed thematically. The focus group interviews were used as tools to collect data in this study. The study revealed a variety of perceptions that entry-level mathematics teachers shared about the impact of blended teaching in mathematics learning. These included, but were not limited to, the use of teaching programs or software, the effects of load shedding and blended teaching challenges related to learners' performance and behaviour. The results of this study could provide program developers, subject advisors, school principals with other members of the management team, and mathematics teachers to support the entry-level mathematics teacher's confidence, sense of future and communication skills, as well as foster multigenerational connections in blended teaching.

This paper seeks to gain insights into teachers' perceptions, and readiness to integrate information and communication technology (ICT) tools in mathematics instruction. A mixed-methods approach was employed, involving surveys and interviews with a sample of high school mathematics teachers. The study involved 90 mathematics teachers working in three senior high schools in Kumasi metropolis in Ghana. The study revealed that teachers generally hold positive perceptions of the benefits of ICT tools in mathematics teaching. They strongly agree that ICT tools enhance students' understanding of mathematical concepts and improve their engagement and motivation in mathematics classes. Teachers also recognize the potential of ICT tools in promoting problem-solving skills and providing opportunities for differentiation and personalized learning. However, opinions regarding student-centered learning, exploration, and creativity through ICT tools were more varied, suggesting a need for further investigation and support in these areas. In addition teachers expressed the need for continuous training on specific tools, curriculum alignment, and assessment methods.

Teacher beliefs and practices related to them could provide varying opportunities for students to develop their agency related to learning math. The aim of the current paper is to explore how different math teacher beliefs (concerning the nature of mathematics, constructivist beliefs, and self-efficacy) relate to different dimensions of student agency in primary education. A two-level multilevel model was analyzed to find out to what extent selected teacher beliefs are associated with student math competence and agency dimensions. The study was conducted in Estonia and data from 3rd and 4th grade students (N = 1557) and their teachers (N = 121) was included in the analysis. The results showed that teacher self-efficacy beliefs, constructivist beliefs, and static views on the nature of mathematics were related to students' agency dimensions. Possible explanations and directions for further studies are discussed.

This paper describes and analyzes three cases to show the impact that curiosity-driven (CD) discourse based on self-video can have on the professional awareness and noticing skills of mathematics teachers and instructors of mathematics teachers. The findings indicate that CD discourse raises awareness of heretofore unnoticed events in the lesson, and improves the mathematical and pedagogical knowledge, teaching skills, and efficacy of teachers and instructors. This study combines pedagogical content knowledge (PCK) of teachers with Mason's "levels of awareness" model in studying, from an epistemological point of view, the contribution that CD discourse makes to growth of professional awareness in mathematics teachers and instructors. Thus, this study contributes to the theoretical and practical understanding of the growth of mathematics teachers as teachers and as teacher instructors, in their professional awareness, noticing skills, and attention shifting.

This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting the emergence of participants' sociomathematical norms for engaging in online asynchronous discussions. In this paper, we characterized participants' initial mathematical discourse and documented two emergent sociomathematical norms, namely "explaining why" and "emergent shape discourse." When participants "explained why," they used specific quantities or symbolic representations of functions to justify why function graphs have particular visual features. When participants engaged in "emergent shape discourse," they coordinated change between covarying quantities to justify why function graphs behave in certain ways. This study provides evidence that online settings can provide context for mathematics teachers engaging in legitimate collaborative mathematical activity and that activity can be enhanced by participation in discourse featuring specific sociomathematical norms. We discuss conjectures regarding the potential of reflective discussion activities paired with the Notice and Wonder Framework to support the emergence of generative sociomathematical norms. We also discuss potential relationships between characteristics of participants' mathematical discourse and their membership with the core and periphery of a social network.

Curriculum change and the ready access to school level appropriate statistical software has seen the focus of statistical practice for novice statisticians move from primarily constructing graphs and calculating statistics to describing and reasoning from distributions. Many multi-faceted concepts and statistical ideas underpin distributions, which students find difficult to navigate and cognitively coordinate. Limited research, however, exists on how to enhance students' communication when describing distributions. This paper explores the actions of a teacher as she supported 14-15-year-old students to develop notions of distribution and to describe distributions. The findings indicated that the teacher, through knowing, modelling, and listening, supported the development of student statistical language and communication. Students, through engaging in specifically designed instructional activities to engineer learning around the concept of distribution, seem to be able to transition from using their own language to using statistical language to describe distributions that communicated the concepts and features that were identified in the distribution description framework.

Grouping by attainment is a relatively new and contested practice in Norway, where strong historical discourses of heterogeneous education are under pressure from international test comparisons, particularly in mathematics. At the same time, research indicates that Norwegian teachers have a high degree of autonomy in education policy enactment. Analysing thirteen Norwegian mathematics teachers' reflections on grouping practices, we seek to understand their decision-making processes within this context. Our findings indicate that teachers report a high degree of autonomy in grouping practices which is exercised through considerable diversity in practice and defended when necessary. Using an ecological model of teacher agency reveals how teachers explore and explain their highly situated practice and its tensions and contradictions. We find that teachers who are removed from the central locus of autonomy have less to draw on in making and justifying their pedagogic choices, while those who are more central are able to continually reassess in this highly sensitive arena. We note the implications for practice and research on attainment grouping, particularly the need for teacher autonomy and support for professionally-based local decision-making.

Technological Pedagogical Content Knowledge (TPACK) is defined as the teacher knowledge needed for effective technology integration. This study aimed to investigate preservice elementary mathematics teachers' TPACK development. TPACK survey was administered to 33 preservice teachers (PSTs), and six of them were selected via maximum variation sampling to represent as different cases as possible based on their mathematical knowledge and technological self-assessment. These six PSTs implemented four technology-based lessons (two microteaching sessions in the mathematics teaching method course and two lessons in the student teaching). Participants' TPACK levels were examined based on the development model proposed by Niess, M. L., Sadri, P., & Lee, K. (2007, April). Dynamic spreadsheets as learning technology tools: Developing teachers' technology pedagogical content knowledge (TPCK). Paper presented at the meeting of the American Educational Research Association Annual Conference, Chicago, IL. Results showed that participants had not used technology effectively and efficiently in their microteaching sessions and the first lessons in their student teaching. After evaluating their first lessons in schools, PSTs improved their teaching considerably. We suggest giving more opportunities for PSTs to teach with technology in classrooms and to assess their teaching practices reflectively.

The paper addresses the potential relationships between shared authority in mathematics classrooms and students' mathematical reasoning. Even though tensions and challenges related to shared authority are explicated in the literature, there are few examples of how these issues play out in mathematics teaching. We investigate the case of a mathematics teacher attempting to share authority as well as applying several moves recognized as supporting meaningful student learning. Data has been collected in a fourth-grade Norwegian classroom and is analyzed by means of open coding, inspired by literature. We identify the moves used by the teacher, and we rank these moves along two dimensions: (1) their potential to support mathematical reasoning and (2) their potential for sharing authority. From this, we uncover how a teacher's work of orchestrating mathematical discussions involves moves in all four quadrants, and we discuss how the interplay of moves affects the authority structures and the collaborative reasoning in the classroom.

Few studies have elaborated on how different types of integration can support teachers' learning and build their capacity to teach for the enhancement of students' STEM competence. Teaching in a STEM education context requires mathematics teachers to be able to effectively choose, design and implement appropriate tasks in their classes. Given the important role of teachers and tasks as vehicles for STEM education, this paper reviews literature on STEM teacher education programs associated with STEM tasks for preservice and in-service secondary mathematics teachers. After searching for and reviewing the 14 relevant articles, the analytical results indicated that (a) teachers' STEM knowledge and practices have not been commonly assessed as the outcomes of STEM teacher education programs, although they are explicitly counted as the goals of STEM teacher education programs; (b) the approach of multi-disciplinary concepts integrated with uni-disciplinary practice is mostly adopted as the approach to STEM integration; (c) task design features identified from the articles can be classified by elements of task design (i.e., goals, principles and instructional focus) and task design factors (i.e., disciplinary knowledge, cognition and metacognition, affect); and (d) most programs provide both acquisition and participation approaches to developing mathematics teachers' knowledge in STEM education. The review results shed light on the design and implementation of STEM tasks and STEM teacher education programs.

The TPACK framework has gained popularity in guiding research regarding the assessment and development of teachers' competencies to teach with technology. Since theoretically, the framework is about teachers' knowledge for teaching using technology, effective ways of assessing this TPACK have been a subject of interest among researchers. This paper is about a collaborative lesson design quasi-experiment study whose data collection was done using an observation rubric that was prepared and validated for this study. The study uses six video-recorded sessions to validate the instrument and assesses the level of TPACK of 30 participants. The observation rubric is found suitable to assess mathematics teachers TPACK, but users may need to contextualize it depending on content and technology. Findings of the study also imply that more engaging collaborative professional development activities may be more effective in developing teachers' TPACK. Furthermore, when planning such professional development, it is important to ensure that teachers have access to relevant technology.

In this paper, we report on data from 40 middle and secondary school mathematics teachers and teacher candidates as they begin to articulate the intersection of language-friendly pedagogy, mathematics teaching, and a multilingual technological tool by way of a two-hour introductory workshop. We use an Anthropological Theory of the Didactic which recognises that mathematics instruction and language instruction are done differently under distinct institutional conditions (curriculum, culture, language, etc.) to analyse our data. Our findings suggest that teachers' beliefs and perspectives regarding their multilingual students guide their choices about how to use a powerful digital multilingual platform to either remediate what they perceive as deficits in their students or leverage the assets of multilingual learners.

Using a theoretical framework of policy assemblage, we analyse current primary mathematics teacher professional development in England, in the context of a transnational policy of mastery in mathematics influenced by East Asian practices. As well as the increased discourse of marketisation, and school and teacher autonomy, there has also been a paradoxical process of greater state influence over the content and form of professional learning. This paper maps the mathematics mastery market to show how marketisation and competition form a mirage that masks state-market assemblage. An analysis of these assemblages illuminates the state's role in fostering a market whilst also operating as an actor in this market, in this case in mastery professional development. Within the mastery market, tensions arise between the phenomena of replication and isomorphism and differentiation of 'offers' that develop affinity groups and networks. Thus, we extend previous descriptions of the hierarchy, markets, and networks, and the roles of state funded actors within teacher professional development by identifying the importance of multiplicity of logics, assemblage as a process of labour, and the dynamic nature of relationships and activity. Resources to support teacher professional learning are mobilised in competitive processes with apparent choice hiding state direction.

This paper examines the extent to which teacher factors of the dynamic model of educational effectiveness can explain variation in student achievement in mathematics. It also searches for the extent to which any of these factors matters more for academically resilient students than for all the other low-socioeconomic-status students. Participants were all teachers (N = 66) of 14 schools in socioeconomically disadvantaged areas who teach mathematics to students of Grades 4-6 (N = 904). Teacher factors were measured through a student questionnaire, whereas mathematics achievement at the beginning and the end of the school year was measured through written tests. Student background characteristics were measured through a student questionnaire. Information on parents' occupational status was also collected. Multilevel modelling analysis revealed that all teacher factors explain variation in mathematics achievement. Differential effects for all factors but modelling and assessment were identified. Implications of findings are discussed.

This paper explores the specialized knowledge mobilized by a mathematics teacher in the selection and use of examples for teaching sequences. Taking an experimental case study approach, we analyse the examples deployed in a series of third-year secondary level lessons on sequences and identify the different knowledge subdomains activated according to the mathematics teachers' specialized knowledge analytical model. We will analyse active and passive examples, pointing out the mathematical entity that is being exemplified and the aspect of this entity which is being emphasized by the example. The results identify the different subdomains and categories which are drawn on in the selection and use of examples, along with the various interconnections across knowledge subdomains which interact in the process.

In this paper, we examine the relationships between teachers' subject matter preparation and experience in teaching and their performance on an instrument measuring mathematical knowledge for teaching Algebra 1. We administered the same instrument to two different samples of teachers-high school practicing teachers and community college faculty--who teach the same algebra content in different levels of institutions, and we compared the performance of the two different samples and the relationships between the measured knowledge and their educational and teaching background across the samples. The comparison suggested that the community college faculty possess a higher level of mathematical knowledge for teaching Algebra 1 than high school teachers. The subsequent analyses using the Multiple Indicator Multiple Causes (MIMIC) models based on our hypothesis on the factors contributing to the differences in the knowledge between the two teacher samples suggest that experience teaching advanced algebra courses has positive effects on the mathematical knowledge for teaching Algebra 1 in both groups. Highlighting the positive effect of algebra-based teaching experience on test performance, we discuss the implications of the impact of subject specific experience in teaching on teachers' mathematical content knowledge for teaching.

The paper evaluates math performance at four high-need middle schools during a four-year intervention, which was designed to help math teachers diagnose students' areas of need and to design lesson plans responsive to those needs. Before the intervention began, the researchers pre-selected four comparison schools by matching based on achievement and also on demographics. A difference-in-difference analysis finds a significant increase of about 0.11 standard deviation in test scores per year for students in the program schools. Supplementary event study and synthetic control analyses to detect year-by-year effects lack precision but are weakly suggestive of a smaller impact in year 1 than later years. A cost analysis considers the affordability of extending similar programs.

The interrogation of often unintended practices of marginalisation has gained focus in research on mathematics teaching and mathematics teacher education throughout the last decades. In this introductory survey paper, work against marginalisation in these contexts of mathematics education is viewed in terms of work towards equity, diversity and inclusion. Based on this interpretation, we present a framework on awareness and practice of equity, diversity and inclusion in mathematics teaching and mathematics teacher education research. We then use this framework and a survey method of mapping review to identify and comment on a selection of studies. As a result, we illustrate three research moves towards equity, diversity and inclusion, in the form of interconnected themes: (1) Widening the understanding of the mathematics and the mathematics education curricula (2) Improving the practice and discussion of mathematics teaching (3) Unpacking ideologies in mathematics teaching and mathematics teacher education. We finally examine the themes and the special issue papers together to foreground commonalities regarding awareness of discriminatory discourses and practices of creating and distributing opportunities for all groups, including those historically and currently marginalised. Despite the important increase of equity-driven principles of awareness, we conclude that mathematics education research on teaching and on teacher education needs more examples of practices whose development has been proved to challenge marginalisation. [ABSTRACT FROM AUTHOR]

The article is based on the lecture ‘Mathematics teacher training from the perspective of STEM – a particular case’ given by its author at the ATCM 2023 conference and is an extension of a related paper that was published in the conference proceedings. It further develops the idea that the task of teacher training schools is to create a suitable environment for the provision of education, impulses for the development of the necessary knowledge and skills, as well as to support these. It provides a detailed description of specific creative activities for future teachers, which develop their awareness of the applicability of mathematics in solving real problems and knowledge of its overlap with technology. It is based on historical problems and their context, as presented in the conference paper. Emphasis is placed on the use of computers, especially dynamic geometry software GeoGebra, to model the geometric nature of given problems and for their effective solution. [ABSTRACT FROM AUTHOR]

The teacher noticing construct is widely recognized in teacher competence and education research, particularly in the field of mathematics education. This paper surveys recent research on mathematics teacher noticing published between July 2019 and 2022, following an earlier literature review on teacher noticing across different disciplines. The study presented here analyzed 118 English-language articles published in peer-reviewed journals, focusing on conceptualizations, research methods, and relationships with other constructs, including teacher knowledge and beliefs. The findings suggest that the cognitive-psychological perspective on noticing, which emphasizes a set of cognitive processes, remains the predominant conceptualization. Recent research on noticing is characterized by a high proportion of studies based on small samples and qualitative research methods. While several studies have demonstrated the interrelatedness of noticing and professional knowledge, the relationship between noticing and beliefs and between noticing and instructional quality has rarely been addressed. Based on these findings, we highlight noteworthy contributions and critical shortcomings, and suggest directions for future research. [ABSTRACT FROM AUTHOR]

The current study surveyed Iranian K-12 math teachers in terms of their assessment literacy (AL). To this end, 150 math teachers were invited to answer a test of assessment literacy, comprising of 31 items on the seven dimensions of assessment literacy expressed in the Standards. The test was tailored to the contingencies of the Iranian education system and was translated into Persian. Consistent with findings from similar studies on teachers' assessment literacy in other educational system, results indicated that Iranian math teachers do not enjoy a sufficient knowledge base in assessment (... = 12, sd= 3.38). An independent samples t-test was run to see if primary school teachers teaching math, whose education background is not in mathematics, are any different from secondary school math teachers with degrees in mathematics or math education. Results showed no significant differences between the two groups of teachers; t(118)= .92; p= .36). Possible causes for math teachers' poor AL and implications the results hold for teacher education are further discussed in the remaining of this paper. The paper closes with a few suggestions for enhancing assessment literacy among math teachers. [ABSTRACT FROM AUTHOR]

The objective of this paper was to examine the present state of geometric constructions in both international and national mathematics assessments. Additionally, it aimed to shed light on the noticeable lack of geometric construction items in these assessments and propose a solution to incorporate such items by utilizing a web-based mathematics assessment tool. After providing a brief summary of the unique benefits associated with geometric construction problems, the subsequent paper explored the development of a web-based mathematics assessment tool, the procedure for generating automatic evaluation GeoGebra applets for geometric construction problems, and their integration into Moodle learning management system (LMS). The purpose of this assessment tool was to enhance the evaluation of a substantially larger group of students within the realm of geometric constructions. The final section of the paper examined the difficulties encountered in the creation of the automatic evaluation applets and their incorporation into Moodle LMS. Through the development of such a web-based mathematics assessment tool, we enabled the evaluation of a significantly larger number of students, thus aiding not only national and international mathematics examinations but also assisting mathematics teachers in tracking students' scores and progress. [ABSTRACT FROM AUTHOR]

Microteaching has been viewed as a professional development tool that gives pre-service teachers the chance to strengthen their teaching skills. This paper presents an overview of the research on microteaching in mathematics teacher education, noting its prospects and challenges while also making recommendations for modifications to its application. A thorough analysis of 28 empirical papers on microteaching in mathematics teacher preparation that were published between 2000 and 12 May 2023, was conducted. Findings demonstrate that microteaching is an effective approach for enhancing pre-service teachers' core mathematics teaching skills. It is suggested that microteaching, which begins in a laboratory setting with the development of essential teaching skills, should not end there; it should give trainee teachers an opportunity to learn and practice in a real classroom context. Microteaching activities require more time, more supervisors, and more resources to function at its maximum capacity. Technology has also demonstrated greater promise when it comes to enhancing microteaching's position in facilitating the development of pre-service mathematics teachers' instructional skills. [ABSTRACT FROM AUTHOR]

In this paper, we investigate the links between prospective elementary teachers' (PTs') ability to notice student mathematical thinking, their mathematical knowledge for teaching (MKT) and their ability to decompose learning goals into component conceptual parts (Morris et al., 2009). Previously, researchers have proposed theoretical connections between MKT and teachers' professional noticing, but empirical support for these relationships has been limited. Results of this mixed-methods study indicate that PTs who scored higher on an MKT assessment outperformed their peers in terms of attending to student thinking but had similar performance in terms of interpreting that thinking. However, PTs who were able to conceptually unpack a learning goal into subconstructs performed higher-quality interpretations of student thinking. We hypothesize that the skill of decomposing learning goals may allow PTs to apply their mathematics knowledge to successfully interpret student work. These results have implications for understanding how noticing and MKT may develop in relation with each other. [ABSTRACT FROM AUTHOR]

Teacher beliefs and practices related to them could provide varying opportunities for students to develop their agency related to learning math. The aim of the current paper is to explore how different math teacher beliefs (concerning the nature of mathematics, constructivist beliefs, and self-efficacy) relate to different dimensions of student agency in primary education. A two-level multilevel model was analyzed to find out to what extent selected teacher beliefs are associated with student math competence and agency dimensions. The study was conducted in Estonia and data from 3rd and 4th grade students (N = 1557) and their teachers (N = 121) was included in the analysis. The results showed that teacher self-efficacy beliefs, constructivist beliefs, and static views on the nature of mathematics were related to students' agency dimensions. Possible explanations and directions for further studies are discussed. [ABSTRACT FROM AUTHOR]

This study investigated novice mathematics teachers participating in an online teacher education course focused on covariational reasoning and understanding the behavior of functions. The analysis centered on documenting the emergence of participants' sociomathematical norms for engaging in online asynchronous discussions. In this paper, we characterized participants' initial mathematical discourse and documented two emergent sociomathematical norms, namely explaining why and emergent shape discourse. When participants explained why, they used specific quantities or symbolic representations of functions to justify why function graphs have particular visual features. When participants engaged in emergent shape discourse, they coordinated change between covarying quantities to justify why function graphs behave in certain ways. This study provides evidence that online settings can provide context for mathematics teachers engaging in legitimate collaborative mathematical activity and that activity can be enhanced by participation in discourse featuring specific sociomathematical norms. We discuss conjectures regarding the potential of reflective discussion activities paired with the Notice and Wonder Framework to support the emergence of generative sociomathematical norms. We also discuss potential relationships between characteristics of participants' mathematical discourse and their membership with the core and periphery of a social network. [ABSTRACT FROM AUTHOR]

A teacher needs to have the sensitivity in seeing didactic phenomena. The sensitivity can function as a vehicle or context for mathematics learning. The Konigsberg Bridge, for example, can be described without looking at the picture since it became a part of the community story. Later on, the description of the Konigsberg Bridge can be used as a context in mathematics learning, especially those related to Graph Theory. This paper discusses the phenomena such as the Konigsberg Bridge, to make mathematics teachers understand the didactic phenomena easily. By having the sensitivity of the mathematically valuable phenomena for the mathematics teachers, they can contribute more positively to mathematics education. [ABSTRACT FROM AUTHOR]

The paper addresses the potential relationships between shared authority in mathematics classrooms and students' mathematical reasoning. Even though tensions and challenges related to shared authority are explicated in the literature, there are few examples of how these issues play out in mathematics teaching. We investigate the case of a mathematics teacher attempting to share authority as well as applying several moves recognized as supporting meaningful student learning. Data has been collected in a fourth-grade Norwegian classroom and is analyzed by means of open coding, inspired by literature. We identify the moves used by the teacher, and we rank these moves along two dimensions: (1) their potential to support mathematical reasoning and (2) their potential for sharing authority. From this, we uncover how a teacher's work of orchestrating mathematical discussions involves moves in all four quadrants, and we discuss how the interplay of moves affects the authority structures and the collaborative reasoning in the classroom. [ABSTRACT FROM AUTHOR]

Research investigating teachers' knowledge and practices aimed to improve student participation, engagement and achievement in mathematics and science has often used qualitative methods involving observation and analysis of lesson videos. Some researchers have used excerpts of videos in various ways to gather data about their participants' anticipated actions in the moment. In the current study, we aimed to track primary teachers' developing adaptive expertise when teaching interdisciplinary mathematics and science lessons over a two-year period. In this paper, we describe the processes followed to design a questionnaire that used episodes from videos of interdisciplinary mathematics and science lessons to construct multiple choice items. The adaptive expertise scoring for the items was reliable but this improved when including an open-ended question for participants to explain their selection of an action for the classroom moment captured in the video episode. [ABSTRACT FROM AUTHOR]

Today math teachers can best reach their students and show them how math surrounds us by using manipulatives, children's literature, and GeoGebra while teaching mathematics. These are some of the best pedagogical practices for teaching mathematics today. In our high-tech world, students need to be proficient in science, technology, engineering, and mathematics (STEM) fields. As endorsed by National Council of Teachers of Mathematics (2000) and stressed in common core state standards in mathematics, it is important that we teach with technology, address dispositions and math anxiety, and make the math that young people are learning pertinent and meaningful. Frequently, it may be best to start teaching young people geometry first as opposed to numbers, which are considered more abstract and difficult to learn. Geometry is one of the most tangible divisions of math and concentrating on this first can help students' whole view of mathematics and their insolences towards learning the subject. Nowadays teachers also need to be cognizant and checking for attitudes and dispositions toward learning mathematics, as math anxiety is an issue in today's classrooms. This paper will revisit the best pedagogical practices for teaching math the review of the use of math manipulatives, children's books, and GeoGebra to help teachers create mathematically confident young people. [ABSTRACT FROM AUTHOR]

In recent decades, research has stressed the prominence of mathematics classroom discussions in productive instructional practices in mathematics instruction. In this context, problem-solving activities have been a common focus of research. Research shows that teachers need to deal with prerequisites and challenges such as norms, design of tasks, activating students, and leading students' discussion to achieve a productive whole-class discussion. However, another promising activity for achieving productive discussions involves using a classroom response system and implementing different task types in a multiple-choice format. There is little knowledge about whole-class discussions using this approach. To meet this need, this paper presents results from a mixed-method approach that characterizes whole-class discussions to explore the potential of multiple-choice tasks supported by a classroom response system to achieve productive whole-class discussions. Three types of multiple-choice tasks were implemented in the classrooms of twelve mathematics teachers at secondary schools. The lessons, including 35 whole-class discussions, were video-recorded, transcribed, and analyzed. The results summarize the characteristics of these whole-class discussions, including measures of students' opportunities to talk and teacher and student actions. These results can help us develop a more profound understanding of whether and how multiple-choice tasks supported by a classroom response system can support teachers in achieving productive whole-class discussions. [ABSTRACT FROM AUTHOR]

One characteristic of high-quality mathematics teaching is supporting students in engaging in tasks of high cognitive demand. In this paper, we explore relationships between two elementary teachers' efforts to integrate computational thinking (CT) practices—abstraction, debugging, and decomposition—into their mathematics instruction and their development of high-level tasks. Teachers engaged in professional development sessions about CT. Using their mathematics curriculum materials as a starting point, teachers then planned mathematics lessons to incorporate attention to at least one CT practice. Researchers transcribed their conversations and qualitatively coded the transcripts using an established framework for assessing the cognitive demand of tasks posed to students. Analyses of the planning conversations suggested that encouraging these teachers to examine their mathematics curriculum materials through the lens of CT practices supported them in adapting tasks from their curriculum materials in ways that raised the cognitive demand. Implications for the use of CT in elementary mathematics teacher education are discussed. [ABSTRACT FROM AUTHOR]

Using a theoretical framework of policy assemblage, we analyse current primary mathematics teacher professional development in England, in the context of a transnational policy of mastery in mathematics influenced by East Asian practices. As well as the increased discourse of marketisation, and school and teacher autonomy, there has also been a paradoxical process of greater state influence over the content and form of professional learning. This paper maps the mathematics mastery market to show how marketisation and competition form a mirage that masks state-market assemblage. An analysis of these assemblages illuminates the state's role in fostering a market whilst also operating as an actor in this market, in this case in mastery professional development. Within the mastery market, tensions arise between the phenomena of replication and isomorphism and differentiation of 'offers' that develop affinity groups and networks. Thus, we extend previous descriptions of the hierarchy, markets, and networks, and the roles of state funded actors within teacher professional development by identifying the importance of multiplicity of logics, assemblage as a process of labour, and the dynamic nature of relationships and activity. Resources to support teacher professional learning are mobilised in competitive processes with apparent choice hiding state direction. [ABSTRACT FROM AUTHOR]

This paper examines the extent to which teacher factors of the dynamic model of educational effectiveness can explain variation in student achievement in mathematics. It also searches for the extent to which any of these factors matters more for academically resilient students than for all the other low-socioeconomic-status students. Participants were all teachers (N = 66) of 14 schools in socioeconomically disadvantaged areas who teach mathematics to students of Grades 4–6 (N = 904). Teacher factors were measured through a student questionnaire, whereas mathematics achievement at the beginning and the end of the school year was measured through written tests. Student background characteristics were measured through a student questionnaire. Information on parents' occupational status was also collected. Multilevel modelling analysis revealed that all teacher factors explain variation in mathematics achievement. Differential effects for all factors but modelling and assessment were identified. Implications of findings are discussed. [ABSTRACT FROM AUTHOR]

Lesson planning is of central importance to the teaching of all subjects in school. However, despite its high relevance, there is still a substantial need for a comprehensive review of factors affecting lesson planning. Empirical evidence on how teachers' competence in lesson planning can be developed, what challenges may be encountered during the lesson planning process, and successful lesson planning designs and practices should come to light on. To close this gap the current paper presents the results of a systematic review of 20 empirical research studies on teacher competence in mathematics lesson planning. For detailed insight into the most recent contributions of the reviewed studies on mathematics lesson planning, we analyzed studies conducted during the past decade, adapting the "process model of lesson planning" and the model of "competence as continuum" as a heuristic for approaching lesson planning. We present key results of the studies related to four major themes: (1) dispositions and their influence on developing and implementing lesson plans, (2) quality aspects of lesson plans and the development of lesson planning skills, (3) difficulties in lesson planning, and (4) the relationship between lesson planning skills and performance in implementation of lesson plans. The results of our literature review reveal that teachers (especially novice teachers) face difficulties in lesson planning and their overall competence (and knowledge) are not at an expert level. However, as the results of the examined studies pointed out, teachers can acquire such competence and knowledge through training within initial teacher education and professional development. Overall, teachers need support in planning mathematics lessons by delineating their lesson plan to improve their awareness of students' thinking, possible learning trajectories, effective usage of the curriculum and teaching resources, and the potential of innovative pedagogies that incorporate new technology. [ABSTRACT FROM AUTHOR]

Social values are integral part of the norms that are emphasized into the educational systems, and their integration in the school curricula is essential for nurturing responsible citizens. The current paper discusses the outcomes of learning social values within mathematical content and problem solving. The research was conducted in an academic course that social values was one of its topics. The participants were 18 pre-service mathematics teachers who study in an Arab college in Israel. They underwent a training process in studying social values within mathematical content and subsequently applied it in schools. Employing qualitative methods, the research examined how to integrate social values in mathematics class, and how the pre-service mathematics teachers evaluate the importance of the subject. The findings indicated a notable improvement in the pre-service teachers' interest in the subject even it was a challenging experience. They realized that integrating social values into mathematical content is possible and applicable to various mathematics subjects. The findings may contribute to highlight the importance of integrating social values into mathematical content both at schools and at the academic education institutions. [ABSTRACT FROM AUTHOR]

This paper offers an interdisciplinary perspective of researchers from the fields of therapeutic pedagogy and mathematics didactics in identifying the support mechanisms of the school as an institution in inclusive mathematics education. Qualitatively analysing the written accounts of mathematics teachers in Slovak primary and secondary schools in mainstream education, it brings together the suggestions from these teachers on the support mechanisms of the school in inclusive mathematics education for pupils with special needs. The research findings may be helpful in the pre-service training of teachers of subjects other than mathematics in the context of teaching pupils with enhanced support. [ABSTRACT FROM AUTHOR]

This paper seeks to gain insights into teachers' perceptions, and readiness to integrate information and communication technology (ICT) tools in mathematics instruction. A mixed-methods approach was employed, involving surveys and interviews with a sample of high school mathematics teachers. The study involved 90 mathematics teachers working in three senior high schools in Kumasi metropolis in Ghana. The study revealed that teachers generally hold positive perceptions of the benefits of ICT tools in mathematics teaching. They strongly agree that ICT tools enhance students' understanding of mathematical concepts and improve their engagement and motivation in mathematics classes. Teachers also recognize the potential of ICT tools in promoting problem-solving skills and providing opportunities for differentiation and personalized learning. However, opinions regarding student-centered learning, exploration, and creativity through ICT tools were more varied, suggesting a need for further investigation and support in these areas. In addition teachers expressed the need for continuous training on specific tools, curriculum alignment, and assessment methods. [ABSTRACT FROM AUTHOR]