Mathematics teachers’ learning: a conceptual framework and synthesis of research

How do practicing mathematics teachers continue to develop the knowledge and habits of mind that enable them to teach well and to improve their teaching over time? The question of how (and what) teachers learn lies at the crux of any effort to provide high-quality mathematics teaching for all students. This article reviews 106 articles written between 1985 and 2008 related to the professional learning of practicing teachers of mathematics. We offer a synthesis of this research, guided by Clarke and Hollingsworth’s (Teach Teach Educ 18(8):947–967, 2002) dynamic model of teacher growth. Their model emphasizes the recursive nature of teachers’ learning and suggests that growth in one aspect of teachers’ knowledge and practice may promote subsequent growth in other areas. We report the results in six major areas of teacher learning, identify several crosscutting themes in the literature, and make recommendations for future research aimed at understanding teachers’ professional learning.     

Student teachers’ perceptions and evidence of peer learning through co-teaching: improving attitudes and willingness towards co-teaching

European Journal of Psychology of Education - Despite the increasing practice and evidence of its potential, co-teaching has not become a widespread practice in schools yet. Research shows the need...     

Student teachers’ emotional landscapes in self- and co-regulated learning

Self- and co-regulation are central elements in skillful student-teacher learning. Studies have confirmed the interrelation between positive academic emotions and student engagement in self-regulated learning. There are also indicators of student-teachers experiencing co-regulative learning activities as highly significant. Yet, we know surprisingly little about the emotional landscape of the self- and co-regulation of learning among student-teachers. Hence, in this study, we explore the kinds of academic emotions that primary school student-teachers experience during self- and co-regulated learning. Altogether 19 Finnish primary school student-teachers were interviewed. The data were qualitatively content analyzed. The results showed that both self- and co-regulated learning experiences were emotionally activating. Student-teachers reported primarily positive emotions (80%) in self- and co-regulated learning. The results also showed that positive activating emotions, such as enthusiasm, were emphasized in all regulatory phases: goal setting and task analysis, strategy use and monitoring, and reflection. Our findings on the high frequency of various positive emotions embedded in self- and co-regulated learning confirmed that positive activating emotions are essential elements in student-teachers self- and co-regulated learning. The findings imply that self- and co-regulated learning can trigger a positive cycle in student-teacher learning in terms of both emotions and productive learning.     

Student and novice teachers’ stories about collaborative learning implementation

Despite the research evidence on the effectiveness of collaborative learning (CL), the implementation of this teaching strategy has not yet found a profound place in teaching practice. As a consequence, several studies have investigated teachers’ motives regarding and experiences with the use of CL. Most of these studies concern however senior teachers, whereas new generations of teachers are important actors in the process of educational innovation. Hence, it is crucial to explore novice teachers’ stories about CL implementation: what motivates them to implement this teaching strategy, what hinders them and how do they handle the challenges they are confronted with? The answers to these questions may provide useful information for improving the teacher education curriculum regarding CL. In this respect, the present study intends to study pre-service and beginning teachers’ experiences with CL in classroom practice, after a formal training pertaining to CL as part of their teacher education programme. The aim is to identify the main challenges student and novice teachers encounter when they want to implement CL in their teaching practice, and how they position themselves in these challenges. A qualitative case study design with in-depth interviews in the Flemish context (Belgium) was used to gain access to the particular experiences of each teacher, and to the processes of interpretation and meaning-making that go with those experiences. Participants were interviewed individually one week before graduation (n?=?15). After at least half a year of experience in the teaching profession, 10 participants were interviewed for a second time. In the present study, we present the results from a cross-case analysis, using the method of constant comparative analysis to identify similarities or differences, and to capture recurring patterns within the data. The findings reveal several dilemmas that illustrate the conflicting options teachers are facing in relation to their colleagues, their pupils, the curriculum and in the classroom context when they intend to implement CL. In particular, the following dilemmas were identified: two dilemmas related to professional autonomy (student teachers: teacher autonomy vs. pre-service performance assessment; novice teachers: teacher autonomy vs. institutional conformity), further dilemmas related to teachers’ beliefs about pupils’ readiness for CL vs. evidence about pupils’ readiness for CL, investing in innovation vs. curriculum and job pressure, and pedagogical intentions vs. contextual constraints. In most conflicting situations, student and novice teachers position themselves in the challenge by opting for non-implementation.     

Pre-service and in-service teachers’ beliefs about teaching and learning chemistry in Turkey

This paper describes beliefs held about teaching and learning chemistry by Turkish teachers and student-teachers. The study investigated different aspects of pre-service and in-service teachers’ belief structures. Part of the study examined teachers’ overall beliefs, based on participants’ drawings of classroom situations. A qualitative evaluation was employed to offer information on (student-)teachers’ beliefs about classroom organisation, their beliefs about teaching objectives, and their stance on epistemological beliefs. Beliefs ranged from very traditional, teacher-centred ideas to modern, student-centred ones. Data evaluation was triangulated using a quantitative approach, which focused on whether beliefs were characterised by either teacher-centredness or learner-centredness. Additionally, a Likert questionnaire was used to evaluate the educators` beliefs about the nature of good education. The results for the group of participants are presented and compared. Implications for chemistry teacher education in Turkey will also be addressed.     

Student teachers’ indirect complaining in learning groups

This article focuses on indirect complaining in teacher education. The phenomenon of complaining in educational situations has not been examined as a process before. In this study complaining was examined in naturally occurring learning group sessions, which were videotaped and analysed through Conversation Analysis (CA). The purpose of this study is to describe the beginning of complaints and find ways to handle situations including complaining. The data comprise 26 pedagogically focused discussions that included indirect complaining. These were categorized into four classes: discussions which produced accounts, advice‐giving discussions, discussions expressing different viewpoints, and discussions mainly expressing affiliation. Discussions in the first three categories can be seen as investigative: in these discussions student teachers produced explanations or new interpretations of complained situations, or gave advice to correct the complained situation. Hence, although complaining is defined as having at least two negative elements (there must be something wrong in the complained‐of situation, and the stance of the complainer towards it must be negative), there was also something positive in the processes of the discussions that included complaining, namely investigation. When the second turns of the discussions including indirect complaining were studied, it was observed that invitations to define the complained‐of situation seemed to engender investigative discussions, whereas like‐mindedness or further complaint as the second turn seemed to engender discussions expressing affiliation. An invitation to define the complained‐of situation is suggested as a tool for developing complaints into investigative discussions.     

Student teachers’ participation in learning activities and effective teaching behaviours

Teacher learning is essential to the teaching profession, because it has been strongly linked to improved teaching practices and teacher quality. The source for teacher learning is initial teacher education, a crucial phase in the learning-to-teach continuum. To gain insight into this influential period for student teachers’ long-term professional lives, this exploratory study investigates student teachers’ participation in learning activities and explores whether it is connected to their own effective teaching behaviours in a school-based teacher education setting for secondary education in the Netherlands. The results indicate that student teachers vary in their self-reported learning and that this learning relates positively to observations of their effective teaching behaviour. These findings have several implications for teacher education programmes that aim to enhance the likelihood that their student teachers will become career-long learning professionals.     

Student teachers’ beliefs about learning and teaching and their participation in career-long learning activities

Career-long teacher learning is essential to the teaching profession because it is strongly connected with teacher quality and practices. Student teachers in the first stage of their career-long learning continuum, however, vary in the extent to which they participate in learning activities. This study explores the relationship between beliefs about learning and teaching and participation in learning activities among student teachers, in a school-based teacher education setting for secondary education in the Netherlands. The results indicate that student teachers vary in their beliefs. Structural equation modelling analysis shows that pupil-oriented beliefs are positively related to self-reported participation in learning activities; no relationship emerges between subject matter-oriented beliefs and learning. A cluster analysis reveals two distinct belief profiles, and the findings confirm the relationship to participation in learning activities. Implications for teacher education programmes intended to enhance the chances that their student teachers will become pupil-oriented, career-long learning professionals are discussed.     

Why change to active learning? Pre-service and in-service science teachers’ perceptions

This article explores pre-service and in-service science teachers’ perceptions on active learning, and examines the effectiveness of active learning by pre-service science teachers in the Irish second level classroom through a two-phase study. In the first phase, data on perceptions were gathered from final year pre-service teachers and in-service teachers in Irish post-primary schools. In the second phase, pre-service science teachers, working with teacher educators, designed a comparative test for students in lower secondary science classrooms. This tested achievement differences for students taught in traditional ways and students taught using active learning approaches. While the test results show a significant difference between traditional teaching and active learning, overall analysis indicates that the majority of teachers in the study were not convinced of the value of this way of teaching. The findings have implications for science teaching and the enactment of curriculum reform measures in compulsory education.     

Enhancing in-service teachers’ professional learning through a school-based professional development programme in Hong Kong

ABSTRACT

Lesson study is a collaborative model of professional development that provides teachers with the opportunity to learn from the planning, conduction and reflection of a specifically designed research lesson. Lesson study is increasingly incorporated in initial teacher education (ITE) and calls have been made to further detail the lesson study structures that support student teacher learning. In this paper the core organisational elements of incorporating lesson study in ITE are investigated as a comparative case study situated in two distinct educational and cultural settings: one in Ireland (post-primary) and the other in Norway (primary). Qualitative data, including student teachers’ planning notes, research lesson designs, and observation notes from live research lessons, were analysed and findings reveal three structural factors for the incorporation of lesson study in ITE. First, defined roles of mentor and university teachers as knowledgeable others; second, the engagement of student teachers at each phase of lesson study, with the inclusion of case pupils; and third, the conduction of the lesson study cycle on both university campus and in the classroom. These findings contribute to the growing literature of lesson study in ITE and may support the inclusion of lesson study in ITE programmes.     

Student‐teachers’ conceptions of science,teaching and learning: a case study in preservice science education

The resort to experiment is considered to be essential for teaching physics. But it often consists of an inductivist method where students are supposed to be able to find physical laws by observing phenomena. In fact it is not as easy for the students as it is for the physicist. We propose and test another way. When studying a new phenomenon, an initial discussion is performed between students in the class. They can propose various (eventually contradictory) explanatory models. Experiments are then used to make a choice between these models. Sequences in class situation are described, with learning behaviour and results reported for pupils in French schools (grades 6 and 8, 11‐14‐year olds).     

Online searching behaviours of preschool teachers: a comparison of pre-service and in-service teachers’ evaluation standards and searching strategies

The aim of this study was to explore preschool teachers’ evaluation standards and searching strategies during their online searching process, focusing on the difference between pre-service and in-service teachers. A total of 408 pre-service and in-service preschool teachers in Taiwan participated in the survey research. The validity and reliability of the instruments were confirmed through factor analysis and Cronbach’s alpha. The results showed that the in-service teachers adopted Deep Strategiesand all four kinds of evaluation standards (Multiple, Authority, Content, and Technical) more often than the pre-service teachers did.The results also showed that Internet experience may affect both pre-service and in-service teachers’ use of searching strategies. The findings of this study suggest that more education on online searching strategies as well as evaluation standards should be provided for both in-service and pre-service teachers.     

Student teachers’ attitudes towards cooperative learning in inclusive education

European Journal of Psychology of Education - Past research points to cooperative learning as a potentially effective means of fostering the academic and social development of students in inclusive...     

Provision of in-service training of mathematics and science teachers in Botswana: teachers’ perspectives

Teaching is a field that is dynamic, with innovations necessitating upgrading of skills and education of teachers for the successful implementation of reforms. The behaviour and attitudes of teachers towards teaching and learning and their knowledge banks are the result of the impact of in-service training. This study investigated the perceptions of mathematics and science teachers in Botswana towards in-service provision by the Department of Mathematics and Science Education In-service Training unit (DMSE-INSET), whose mandate is to improve the quality of teaching by supporting teachers through training programmes that enable them to take ownership of their professional development. Data were collected from a sample of 42 senior Mathematics and Science secondary school teachers, using structured interviews with open-ended questions, which were analyzed qualitatively. The findings show that teachers’ concerns included the lack of impact of current in-service training programmes on the education system, no regular follow-up activities to support the one-off workshops and insufficient skills acquired to sustain the implementation of the strategies solicited by the workshops.     

Theorising teaching and learning: pre-service teachers’ theoretical awareness of learning

We examine pre-service teachers’ theoretical learning during one five-week training module, and their educators’ learning about better lecture design to foster student learning. The study is iterative: interventions (one per group) were implemented sequentially in student groups A–C, the results of the previous intervention serving as the baseline for the design developed for the next. These learning study participants, 79 students from year three of a teacher training programme, studied the variation theory (VT) of learning. Three lesson cycles were completed, each comprising four steps: (1) a pre-test, (2) a 15-min intervention discussing VT, (3) a post-test and (4) a delayed post-test conducted eight weeks later. The results indicated learning differences between groups; qualitative analysis identified three categories of student answers, i.e. emergent, premature and unaware, regarding their theoretical understanding. Group C had more students with emergent knowledge (36%) than did groups A (20%) or B (17%) at post-testing.     

Situated learning and teachers’ digital competence

Computer literacy, media literacy, digital literacy and digital competence are all concepts that highlight the need to handle technology in our digital age. However, when it comes to teachers’ digital literacy there is a need to develop a more pedagogic-didactic content for digital literacy in order to deal with the way in which new digital trends influence the underlying conditions for schools, pedagogy and subjects. This theoretical article will therefore examine whether a broader view of knowledge (situated learning) can be a relevant theoretical underpinning for a new digital competence model for teachers and the Scandinavian English perception of the term competence. The article is particularly angled towards how the complexity of teachers’ digital literacy makes it necessary to expand our traditional perception of this concept. The implications of the article indicate that five vital structures are found to be essential to perceptions amongst teachers of the importance of Information- and Communication Technology (ICT) and achievement of digital competence.

Higher education teachers’ professional learning: Process and outcome

In this paper, we first offer an analytic perspective on the papers in this volume, framing our discussion within the context of academic development as a discipline and highlighting common lines that cut across the nine contributions. We then offer insights about the current state of research on the evaluation of academic development and suggest directions that are likely to advance our theoretical and empirical knowledge in this area and anchor us firmly in evidence-based practice. We suggest that clarifying the mechanisms of change when professional learning occurs and measuring the changes in student learning outcomes that are associated with professional learning are important avenues for future research.