Teachers’ perspectives on mathematics education research reports

Practicing teachers’ perspectives on a set of mathematics education research reports are described. Data were gathered through email messages, group discussions, and questionnaires. Teachers identified positive influences of research on practice aligned with some of the strands of proficient mathematics teaching identified by Kilpatrick, Swafford, and Findell [2001. Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press]. Teachers also gave negative critiques of the ability of research to influence practice aligned with Kennedy's [1997. The connection between research and practice. Educational Researcher, 26 (7), 4–12.] discussion of historical factors underlying the gap between educational research and practice. The variety of perspectives documented provides some empirical ground for informing actions in the areas of teacher education and research.     

Teacher self-assessment: A mechanism for facilitating professional growth

Self-assessment is a powerful technique for improving achievement. In this article we outline a theory of teacher change that links self-assessment by teachers to their professional growth. This theory provides avenues for peers and change agents to influence teacher practice. We apply the theory to change in mathematics teaching and report an explanatory case study in which use of the self-assessment tool, in combination with other elements, contributed to change in the instructional practice of a grade 8 mathematics teacher. Provision of a self-assessment tool contributed to teacher growth by: (1) influencing the teacher's definition of excellence in teaching and increasing his ability to recognize mastery experiences; (2) helping the teacher select improvement goals by providing him with clear standards of teaching, opportunities to find gaps between desired and actual practices, and a menu of options for action; (3) facilitating communication with the teacher's peer; and (4) increasing the influence of external change agents on teacher practice. The study argues that providing a self-assessment tool is a constructive strategy for improving the effectiveness of in-service provided it is bundled with other professional growth strategies: peer coaching, observation by external change agents, and focused input on teaching strategies     

A longitudinal study of junior high school students' conceptions of the structure of materials

This longitudinal study investigated the progression in junior high school (JHS) students' conceptions of the structure of matter while studying a new instructional approach dealing with “Materials.” In particular, we studied the progression of students' learning along two dimensions: (a) the conceptual model; and (b) the context of application. Students were asked to draw the structure of several materials and to write their explanations about the structure of these materials in questionnaires administered five times during a 3‐year period. Results indicate students' progression in their microscopic conceptualization of materials. Toward the end of the instruction about 85% of the students used a microscopic model in their representations, and 36% were able to give a molecular model. About 83% of the students retained a microscopic model. Different profiles of JHS students' progression in the conception of the structure of matter were identified. The study suggests that a long‐term development of the particulate model requires: (a) constructing a solid foundation of knowledge about microscopic structure of materials; and (b) a spiral instruction. © 2007 Wiley Periodicals, Inc. J Res Sci Teach 45: 132–152, 2008     

Tracking changes in pre-service EFL teacher beliefs in Greece: A longitudinal study

This article reports on a longitudinal study that aims to investigate pre-service EFL teacher beliefs about learning and teaching in Greece. The study attempts to track possible changes in those beliefs during a 3-year teacher education program and explores the impact of teaching practice, in particular, on student teachers’ beliefs. The results indicate that while there is a gradual and sometimes significant development in student teachers’ beliefs during the program, student teachers’ engagement in the teaching practice seems to have a low impact on the development of their beliefs. Those findings are interpreted with reference to the structure and context of the specific teacher education program and can be useful for the design and development of EFL teacher education programs.     

The use of a computer simulation to promote scientific conceptions of moon phases

This study described the conceptual understandings of 50 early childhood (Pre‐K‐3) preservice teachers about standards‐based lunar concepts before and after inquiry‐based instruction utilizing educational technology. The instructional intervention integrated the planetarium software Starry Night Backyard™ with instruction on moon phases from Physics by Inquiry by McDermott (1996). Data sources included drawings, interviews, and a lunar shapes card sort. Videotapes of participants' interviews were used along with the drawings and card sorting responses during data analysis. The various data were analyzed via a constant comparative method in order to produce profiles of each participant's pre‐ and postinstruction conceptual understandings of moon phases. Results indicated that before instruction none of the participants understood the cause of moon phases, and none were able to draw both scientific moon shapes and sequences. After the instruction with technology integration, most participants (82%) held a scientific understanding of the cause of moon phases and were able to draw scientific shapes and sequences (80%). The results of this study demonstrate that a well‐designed computer simulation used within a conceptual change model of instruction can be very effective in promoting scientific understandings. © 2007 Wiley Periodicals, Inc. J Res Sci Teach 45: 346–372, 2008     

Working as partners for classroom reform

This paper discusses a partnership involving teachers and a teacher educator working together to develop teaching and learning practices in Pakistan. The partnership was established in response to the teachers’ need for support in developing their professional practices within the actual contexts and realities of their schools, after they had attended an in-service training course at a university. Providing case studies, the paper analyses the processes and outcomes of this co-learning partnership. The findings suggest that the collaborative process advances the understanding of teachers’ problems, resolves them on the spot, and provides teachers with the confidence and courage to transcend the constraints of their workplaces while developing professionally.     

Professional development across the teaching career: Teachers’ uptake of formal and informal learning opportunities

This study examined teachers’ uptake of formal and informal learning opportunities across the career cycle. Analyses were based on data from 1939 German secondary teachers in 198 schools. Results showed that formal learning opportunities (in-service training) were used most frequently by mid-career teachers, whereas informal learning opportunities showed distinct patterns across the teaching career. Specifically, use of professional literature increased with teacher age, but teacher collaboration decreased. Teachers’ work engagement and professional responsibilities were hypothesised to predict changes over the career. However, although these variables partly predicted uptake of learning opportunities, they did not fully explain the age-related differences observed.     

Teachers’ professional identity: Contributions of a critical EFL teacher education course in Iran

This paper is a report on contributions of a critical EFL (English as a Foreign Language) teacher education course to Iranian teachers’ professional identity reconstruction.² Pre-course and post-course interviews with seven teachers, their reflective journals, class discussions, and the teacher educator’s reflective journals were analyzed as guided by grounded theory. Three major shifts were observed in their professional identities: from conformity to and romanticization of dominant ideologies to critical autonomy, from no orientation or an instrumentalist orientation to a critical/transformative orientation of teaching, and from a linguistic and technical view to an educational view of second language education.     

Primary and secondary teachers’ conceptions of assessment: A qualitative study

A particular framework of teachers’ conceptions about assessment in school is presented. Fifty teachers of primary and secondary school were interviewed. Results of a qualitative analysis allowed building a model of conceptions of assessment. This model comprises four dimensions about the effects of assessment on: teaching, learning, accountability of teachers and schools to different audiences and stakeholders, and the certification of achievement. These conceptions, unequally distributed, show some tendencies that might be linked to the intrinsic tension between the by-default co-occurrence of both pedagogic and societal functions of assessment in school, and to difficulties of implementing assessment for learning practices.     

Capturing and assessing evidence of student teacher inquiry: A case study

In this paper, we present five principles underlying teacher inquiry and report a case study during which student teachers in a US teacher education programme used evidence-based decision support, an inquiry method designed to help teachers analyse and adapt their own teaching through the use of a video analysis tool. This case study examined interplay among tools designed to guide teaching practice, student teachers’ own self-guided inquiry, and feedback from cooperating teachers as they made instructional decisions. Preservice teachers initially accepted the guidance provided by teaching analysis tools, but abandoned the tools in favour of informal self-assessments and feedback from cooperating teachers when they assumed teaching responsibilities in their own classrooms. We discuss the role of external support and video evidence in guiding preservice teacher inquiry.     

The role of teachers’ orientation to learning in professional development and change: A national study of teachers in England

This paper uses results from a national survey of teachers in England to test a hypothesised model of teacher orientation to learning (consisting of beliefs, practice and experiences about learning) and its relationship to teacher learning change. Results from a structural equation modeling process of 1126 teacher survey responses show that teachers bring an internal, external and collaborative orientation to their professional learning. The beliefs and practices associated with these orientations are also shown to have a moderate influence, via path analysis, on teacher learning change defined as a composite outcome of change in beliefs, practices and students.     

Negotiating epistemological challenges in thinking and practice: A case study of a literacy and inquiry tool as a mediator of professional conversation

This study examines how a Humanities team engaged in professional conversation to refine and implement a literacy and inquiry tool in an Asian Studies curriculum. Drawing on socio-cultural perspectives of teacher learning and theories of tools as mediators of action, this case study investigates the ways this community of practice discussed their understandings of contexts, curriculum, and classroom practice to implement the literacy and inquiry tool. Such practices hold promise for the design of professional learning experiences where teachers engage in conversations about key tools they can use in their practice and assume more control of their own professional learning.     

Conflicting conceptions of care and teaching and pre-service teacher attrition

I present a two-year case study of one pre-service teacher (PST), Johnny, as he moved through his education-based coursework at a large, public university in the US Southeast. In his final year of college, Johnny chose to forego the remainder of student teaching and not to receive a teaching certificate. To better understand Johnny’s choice to leave teaching, as well as the tension between Johnny’s developing conceptions of care and teaching and those of his Mentor Teacher, I draw on sociocultural approaches to teacher identity development and literature on care in teaching. Findings from this study could inform the ways that school-based experiences preceding and during teacher education are structured to encourage PSTs to develop identities as caring teachers and to become members of communities of practice.     

Teachers’ moral values and their interpersonal relationships with students and cultural competence

This study explored whether and how teachers’ beliefs about moral values are reflected in the student-teacher relationships (i.e. levels of control and affiliation in teachers’ and students’ perceptions of this relationship), and in teachers’ cultural competence. A positive association was found between teachers’ paternalist beliefs and their own perceptions of control. A negative association was found between teachers’ liberal beliefs and students’ perceptions of affiliation. Positive associations were found between teachers’ liberal beliefs and the metacognitive and motivational components of cultural competence. We discuss the implications for preparation of teachers to reflect on the manifestations of their beliefs in practice.     

Informal online communities and networks as a source of teacher professional development: A review

Informal online communities and networks offer teachers the possibility of voluntarily engaging in shared learning, reflecting about teaching practice and receiving emotional support. Bottom-up online communities and networks are an important source of professional development, although research around these social learning structures mainly consists in describing particular cases using a wide diversity of theoretical and methodological approaches. This review analyses the existing theoretical frameworks and methodological approaches, the main characteristics and practices of online communities and networks, as well as their principal repercussions in teacher professional development. A critical analysis of the emergent themes in the revised articles sheds light on eligible perspectives for further research.     

Novice teachers’ conceptions of fairness in inclusion classrooms

The issue of “fairness” troubles some general education teachers, who may be reluctant to teach students with disabilities. Journals written by 47 general education preservice and novice teachers were data sources for examining teachers’ concerns about fairness. Five areas of concern emerged: general responses, definitions of fairness, dealing with students, classroom applications (e.g., grading), and negative views. These themes are illustrated and discussed within the theoretical framework of principles of distribution of benefits. Suggestions are offered for helping teacher education students move toward acceptance of needs-based principles of fairness.     

Teachers’ perspectives on innovations: Implications for educational design

Educational designers often develop a ‘powerful learning environment’ that is subsequently implemented by teachers. Due to a lack of cooperation with teachers they may receive limited feedback on the quality of their design and the way it is implemented. This study focuses on teachers’ perceptions of a Dutch innovative learning environment called the “Second Phase”, as well as their desires and their dis/satisfaction with this environment. The results show that teachers are reserved about student autonomy and productive learning. Perceptions and desires are related to their individual approaches to teaching. The findings provide useful feedback for designers and a starting point to intensify their cooperation with teachers.     

In-service and prospective teachers’ conceptions of creativity

Teachers play a crucial role in the development of primary school students’ creative potential in either a positive or a negative way. This paper aims to draw attention to in-service and prospective teachers’ conceptions of creativity and answer three main research questions: “What are the teachers’ conceptions and implicit theories of creativity in general?”, “What are the teachers’ conceptions and implicit theories of creativity in the context of primary education?”, and “How well-trained and equipped do teachers feel to play their key role in the development of students’ creative potential?” A self-report questionnaire was used as an instrument to gather qualitative and quantitative data from 132 Greek in-service and prospective teachers. According to the selected quantitative data we present in this study, the majority of the participants reported that the facilitation of students’ creativity is included in the teachers’ role, but they (teachers themselves) do not feel well-trained and confident enough to realise this particular expectation. The authors conclude that further research is needed in order to: (i) reveal more on teachers’ conceptions on creativity and (ii) understand and classify teachers’ particular needs to facilitate the creative potential of primary school students.     

Measuring learning: discrepancies between conceptions of and approaches to learning

This study is framed under the student approaches to learning tradition. The aim was to identify convergence in quantitative and qualitative responses of individuals when measuring their conceptions of and approaches to learning with a mixed methods design. A sample of 1110 Spanish Master’s level teacher education students completed a scale on approaches to learning (R-SPQ-2F), and a randomly selected subsample of 111 answered an open-ended question on how they learned. Overall, the qualitative and quantitative data did not support each other, as inventory responses showed a clear predominance of a deep, non-surface approach to learning, whereas qualitative answers reflected a tendency towards lower-order conceptions of learning. Inconsistencies in the results suggest future research ought to use a combination of techniques when exploring constructs such as learning should they wish to draw valid conclusions.