Professional development for practicing mathematics teachers: a critical connection to English language learner students in mainstream USA classrooms

This article examines the effects of changing teacher self-efficacy on student achievement. Results from a quantitative study of mathematics teachers in a USA mid-Atlantic state showed that teachers experienced reduced self-efficacy when working with English language learner students (ELLs) relative to non-ELLs. Further, the article explores professional development opportunities for strengthening teachers’ effectiveness with ELLs. The study utilized a four-part survey instrument based on the Teacher Sense of Efficacy Scale (TSES). All participants (n = 181) were mathematics educators from the highlighted state, and 94 % of them were preK-12 public school practicing classroom teachers. Study results indicate that teachers’ participation in professional development on ELL instruction is positively correlated to their heightened sense of self-efficacy. This finding points to continuing education as a potentially viable approach to reducing academic challenges for ELL students in mainstream mathematics classrooms by developing ever more effective practicing teachers.     

Supporting Online AP Students: The Rural Facilitator and Considerations for Training

Online courses supplemented by on-site facilitators help many rural students pursue advanced coursework, but research is warranted to better understand facilitator role and training needs. This study examined facilitation experiences, demographic characteristics, and professional development activities of rural on-site facilitators associated with an online Advanced Placement (AP) program. Themes in qualitative data collected aligned with challenges related to facilitator role that have been documented in existing literature. One theme included facilitator engagement in direct AP instruction despite the facilitator role not requiring that responsibility. Self-reported facilitator demographic characteristics and professional development activities were then compared with those of on-site AP teachers in the same state. Results showed that facilitators demographically resembled teachers but lacked similar engagement with AP professional development. The role of facilitator excludes direct instruction, but specialized professional development like that for AP may match the needs and interests of these facilitators.     

Responsibilities of Online Teachers and On-Site Facilitators in Online High School Courses

Local schools are increasingly providing their students who are enrolled in an online course with an on-site facilitator as a means for increasing online pass rates. However, few studies have examined how online teachers and on-site facilitators work in conjunction to support online students. Successful on-site facilitators (n = 12) and online teachers (n = 12) participated in two one-hour interviews. Analysis found that while both the teachers and the facilitators assumed extensive and complex roles, their responsibilities were overlapping but complementary. Although the facilitators were highly engaged in supporting students, online teachers found the quality of support provided by facilitators varied greatly across schools. Eleven of the facilitators required the majority of their students to attend a daily lab that allowed them more easily and effectively fulfill their responsibilities. Findings from this research also support the need to provide facilitators with professional development so that they can better assume their critical responsibilities.     

How Does Ongoing Task-Focused Mathematics Professional Development Influence Elementary School Teachers’ Knowledge, Beliefs and Enacted Pedagogies?

This study examined how a task-focused, year-long mathematics professional development program influenced elementary school teachers’ knowledge, beliefs, and practices. Participants completed 84 h of professional development over 13 months that were focused on exploring, modifying and implementing cognitively-demanding mathematical tasks. Using a multi-methods approach, teacher-participants completed pre- and post-measures of mathematical knowledge for teaching, teachers’ beliefs about teaching and learning mathematics, and teachers’ self-reports of enacted instructional practices. Further, three teacher-participants were randomly selected to be observed 3 times over the course of the school year. Data analyses indicated that the professional development had a statistically significant positive impact on participants’ mathematical knowledge for teaching, use of student-centered instructional practices, and beliefs towards mathematics as a subject area. Further, the observed teachers enacted some high-level mathematical tasks and questions, but these were more visible at the end of the study compared to the beginning of the study. Implications for future work are also shared.     

A CASE STUDY OF ELEMENTARY BEGINNING MATHEMATICS TEACHERS’ EFFICACY DEVELOPMENT

The main purpose of this research was to explore the developmental process of and possible changes in beginning elementary mathematics teachers’ efficacy. Beginning teachers with and without mathematics and science backgrounds were also compared to explore differences in their efficacy development. A multiple-case study method with a process and recursive design was employed in this study. The participants were six beginning elementary mathematics teachers purposefully selected from Taichung, Taiwan. Data were collected through interviews, recordings, observations, and reflection notes and then analyzed by immersion and editing analytic techniques. Based on the data analysis, a five-gradation developmental model and its characteristics of elementary beginning mathematics teacher efficacy was developed and proposed. The findings demonstrated the developmental process of this five-gradation model and its continuity and cyclical nature. Moreover, beginning mathematics teachers, who were at the same efficacy levels, tended to exhibit substantial similarities but slight differences in their developmental processes. This study also verified that the construct of internal and external factors played a significant role in cyclically contributing to continuous efficacy development. The implications of beginning mathematics teachers’ efficacy and their professional development that derived from the findings and discussions were proposed, as well as a recommendation for further exploration on their efficacy development.     

The Work of Providers of Professional Development for Teachers of Mathematics: Two Case Studies of Experienced Practitioners

This paper is an initial investigation into the practice of providers of professional development for teachers of mathematics. The study examines the work of two providers of professional development for teachers of mathematics. Both provided professional development while working with teachers on implementing a new mathematics curriculum for seventh grade. Although their work conditions were quite different from each other the study reveals that there were similar characteristics in their practices. The most salient ones were acting out lessons, analyzing principles of the new curriculum, encouraging the teachers to explicate their concerns, and asking teachers to solve concrete practical problems related to the reservations they have about specific components of the new curriculum. The role of a program that prepared the two participants to be providers of professional development for teachers is also discussed.     

Beginning the Process of Rethinking Mathematics Instruction: A Professional Development Program

This article describes a professional development program that introduces middle school teachers to an inquiry approach to mathematics instruction as a vehicle to reform their teaching of mathematics. The program is characterized by the use of a few illustrative units that provide an integrated context for experiences as learners and experiences as teachers. Project participants consisted of mathematics and special education teachers in school-based support teams led by school facilitators. Results suggest that the illustrative units were of considerable value in promoting reform. The benefits of including an heterogeneous group of teachers in the same professional development program and of involving teachers from the same school are also discussed.     

Building the wall brick by brick: one prospective teacher’s experiences with mathematics anxiety

Mathematics education researchers have investigated mathematics anxiety in prospective elementary teachers. While many of these studies have focused on the bodily sensations and emotions of mathematics anxiety, particularly those felt in assessment situations, opportunities remain to investigate how prospective elementary teachers interpret their experiences with mathematics anxiety and connect them over time to compose personal histories of mathematics anxiety. Currently, over 90 % of elementary teachers in US schools are women, and women have been shown to suffer more from mathematics anxiety than do men. In this article, I analyze how one woman prospective elementary teacher described, explained, and related her experiences of mathematics anxiety across her personal narratives of learning mathematics as a K-12 student and of learning to teach mathematics as a college student in a teacher preparation program. My research demonstrates that experiences of mathematics anxiety may persist beyond assessment situations to influence women prospective elementary teachers’ larger mathematical histories. I also show that women prospective elementary teachers may interpret mathematics anxiety as specific fears (e.g., loss of opportunities for social participation) and may develop particular coping strategies related to those fears. Finally, I point out that while a coping strategy may be used consistently across K-12 mathematics learning and undergraduate teacher preparation, and may even offer a woman prospective elementary teacher some relief from mathematics anxiety, it may also limit her mathematics learning and professional development. To conclude, I present implications of my research for mathematics teacher educators.     

Structural and conceptual interweaving of mathematics methods coursework and field practica

This paper describes a study of observed relationships between the design of a preservice elementary mathematics methods course with accompanying field practicum and changes in the extent to which participating prospective teachers identified themselves with the mathematics reform movement after becoming practicing teachers. The curriculum of the course with its embedded field practicum experiences was designed to support prospective teachers in interweaving methods coursework and pedagogical instruction with classroom practice. University and elementary school structures were interwoven by conducting weekly mathematics methods course sessions at a school site followed immediately by related practicum experiences in classrooms in the school. The interweaving of conceptualizations about mathematics teaching and learning was facilitated as the methods instructor provided professional development for classroom teachers simultaneously with the methods course, encouraging the teachers to create “reform-friendly” classroom environments. Survey data from 68 prospective teachers involved in the project were analyzed to identify and describe relationships between course/practicum experiences and the degree to which they as practicing teachers, 1–3 years following the course/practicum, identified with a reform mathematics perspective, as well as to examine factors influencing those relationships.     

Effective Professional Development in Science and Mathematics Education: Teachers' and Facilitators' Views

This study compares the views of teachers and professional development facilitators about effective professional development (PD). We analyzed interviews with 72 teacher participants and 23 PD facilitators involved in nine science and mathematics PD projects. The teachers' themes for characterizing effective PD included classroom application, teacher as learner, and teacher networking. Similarly, the PD facilitators discussed effective PD as having classroom application and experiences for teachers as learners. In addition, PD facilitators shared the need to develop collegial relationships with teachers and improve teacher knowledge. These views correspond to some of the standards and recommendations described in policy and research documents on effective PD. Criteria of effective PD in these documents that the participants did not mention included: (1) challenging teachers' content and pedagogical content knowledge with transformative learning experiences, (2) encouraging teacher leadership for sustained support, and (3) focusing on student learning by instructing teachers on how to use student data to inform their teaching practice. Our findings have implications for designing PD that reflects the criteria of standards-based reform.     

Using Lesson Study to Support the Teaching of Early Number Concepts: Examining the Development of Prospective Teachers’ Specialized Content Knowledge

Growing awareness of the importance of education in the early years has led professional organizations and policy makers to consider the effectiveness of mathematics education for young children. Factors such as educational environments, early years curricula and teacher education are some of the many aspects that have been examined. This paper describes the types of mathematical content knowledge that 25 prospective primary teachers developed as they designed, taught and reflected upon early number lessons. This Lesson Study approach involved two mathematics educators and 25 prospective primary teachers designing, teaching and re-teaching five early number lessons in two elementary classrooms with 4–5 year old children. The results suggest that effective teaching of early number concepts draws on mathematical knowledge that is specialized and unique to teachers; in other words Specialized Content Knowledge (SCK). The study found that engaging in Lesson Study promoted mathematics SCK development in two primary ways, notable by: (1) raising awareness of the complex relationships between early number concepts that contribute to developing robust early number understandings and (2) developing expertise in identifying the nature and source of children’s mathematical errors. The development of participants’ early number SCK is described and recommendations are made for the design of experiences in Initial Teacher Education (ITE) to support teachers in the provision of high quality mathematics experiences to young learners.     

Mathematics professional development for elementary teachers: Building trust within a school-based mathematics education community

Despite increased attention in professional development to building communities of teachers, few studies have investigated the development of trust in these communities. This paper presents issues related to trust in a professional development project at an elementary school. The project aimed for school-based elementary teachers and university-based mathematics educators to work together to improve mathematics instruction at the school by developing a mathematics education community of learners, where learners were conceived of as both the teachers and the mathematics educators. This paper addresses the following question: What factors in the project supported the development of trust among mathematics educators and teachers as the community was formed? More specifically, the paper is about one aspect of trust, namely, building school-based elementary teachers’ trust in the university-based mathematics educators. We point to three factors that helped the development of trust and we use care theory to further understand and discuss these factors in the context of in-service teacher education initiatives.     

Investigating the Alignment of Bhutanese Mathematics Teachers’ Planned Approaches Within the Context of a Reformed Curriculum

Reform of mathematics education has been in focus in many countries including those in major economic transition. This paper reports a segment of a study which was conducted in Bhutan, where a reformed elementary mathematics curriculum has been recently introduced. The reformed curriculum is based on social constructivism and its design has been influenced by the USA’s National Council of Teachers of Mathematics (NCTM) standards. This paper reports upon the planned teaching of a sample of elementary (primary) teachers in their implementation of the reformed curriculum. The data for this part of the investigation were aggregated from a qualitative survey of randomly selected elementary school teachers (N = 72) from 40 schools across the country. A set of 3 analytical rubrics, based on intentions embedded in the curriculum, was developed to analyse the alignment of teachers’ planned sample learning activities with the intentions of the curriculum. Our conclusions are that while the curriculum’s intentions might be meaningfully stated in the curriculum documents, implementation remains problematic because there appears to be a mis-alignment between curriculum intentions and classroom practices. For instance, teachers by not adopting evidence-based approaches recommended in the curriculum document and are continuing to deny students opportunities to achieve deep understanding in achieving national priorities. This paper also argues that the proposed analytical rubrics may be of value for Bhutanese mathematics educators and, with minor modification, educators in other contexts, as they critique planned and actual practices.     

Supporting novice elementary mathematics teachers’ induction in professional communities and providing innovative forms of pedagogical content knowledge development through information and communication technology

This paper reports on the needs identified as important to 27 novice elementary mathematics teachers and examines how Connect-ME, an online mathematics community, provides these supports. Qualitative data were collected using two focus groups and 16 telephone interviews. Findings validate the need for alternative teacher professional development (TPD) models and the value of professional communities and knowledge acquired through technology-facilitated learning. The results indicate that teachers actively seek formal and informal TPD experiences, opportunities for sharing and communicating, and access to quality resources. This study provides educational researchers and administrators with essential elements for effectively supporting novice elementary mathematics teachers.     

Beliefs von Studierenden sonder- und grundschulpädagogischer Studiengänge

The implementation of inclusion in schools currently requires new reflections of competence profiles of the teachers involved. Especially in elementary school, which can so far be considered as the most developed institution of inclusive schooling in Germany, questions of differences in the profiles of elementary and special education teachers have been raised. As professional skills also have motivational and volitional aspects, a beliefs model (domain overlapping) was developed based on the construction of the TEDS-M research project, which aims to study specific special educational beliefs. Using a quantitative questionnaire designed in the context of a corresponding preliminary investigation a three-factor-solution for mapping a special supportive belief profile among student teachers and teachers in the field of elementary and special education was tested. Initially this profile model was confirmed by the results of a subsequent analysis based on a nationwide sample of elementary school and special education students (N = 951). In addition to these findings different manifestations of the beliefs model could be identified among student teachers for elementary schools and student teachers for special education.     

Measuring characteristics of teacher professional development

The primary purpose of the study was to create and psychometrically test an instrument which measured teachers’ perceptions of characteristics of professional development. The sample consisted of elementary teachers from five school districts in Washington State participating in a district improvement initiative. Results of exploratory factor analysis resulted in a five-component solution which provided evidence of construct validity. All components/subscales had moderate to strong internal consistency as measured by Cronbach’s alpha. The secondary purpose was to determine if characteristics of professional development predicted teachers’ use of new knowledge and skills, and student learning outcomes, thus contributing to the predictive validity of the instrument. There was a slight, but significant, correlation between Active Learning in Classroom and teachers’ use of new knowledge and skills, as measured by classroom observation scores. A small negative correlation emerged between Collective Participation and student learning, as measured by student scores on the state’s mathematics assessment. Potential uses of the instrument, called Characteristics of Teacher Professional Development (CTPD), are discussed.     

Digital competences and long-term ICT integration in school culture: The perspective of elementary school leaders

This study examines how the leaders of technology integration in educational institutions - school principals and ICT facilitators - assess systemic changes that occurred in their schools. The study collected the data from Israeli elementary schools towards the end of the third and the fourth years of the gradual National ICT program. The research questions explored (1) the predictors of the general school ICT culture and (2) changes over time in the general school ICT culture and its components. An online questionnaire was distributed to all elementary schools in the Northern District and filled out jointly by the school principal and ICT facilitator. A total of 392 questionnaires (91.2 % response rate) were analyzed. The following predictors explained 63 % of variance in general school ICT culture: the percent of teachers who frequently use ICT in lessons, using technology for enhance pedagogy, teachers’ digital competence, digital content use, its design by teachers, pedagogical update of class website, school portal update (negative predictor), e-communication within school staff, and teacher-parents e-communication. Regarding the impact of time, the results indicated that between the 3rd and 4th years of ICT integration significant changes still occur in the general school ICT culture and most of its components.     

Teacher design teams as a strategy for professional development: the role of the facilitator

ABSTRACT

The goal of the current study was to explore the role and importance of the facilitator in teacher design teams. The study took place in the context of a pre-service teacher education institution in Belgium, where teacher design teams were set up to facilitate the professional development of teacher educators. The findings from focus-group discussions with team members and semi-structured interviews with facilitators confirm that the perceived importance of a facilitator depends on several factors, such as team characteristics and the design phase. Moreover, we found that a facilitator can fulfil three roles in a dynamic way: (a) providing logistic support, (b) scaffolding the design process, and (c) monitoring the design process. The discussion centres on how these results can be used to support facilitators for successful Teacher Design Teams.