PROSPECTIVE TEACHERS�� INITIAL CONCEPTIONS ABOUT PUPILS�� DIFFICULTIES IN SCIENCE AND MATHEMATICS: A POTENTIAL RESOURCE IN TEACHER EDUCATION

A crucial issue for prospective teachers (PTs) in their education is to develop pedagogical content knowledge (PCK; i.e. how to make a topic comprehensible to pupils). However, research has shown that PTs may have tacit ideas about teaching that act as filters preventing consideration of unfamiliar and discrepant ideas. These ideas must be elicited and taken into consideration in order to be modified. Therefore, PTs’ explicit conceptions may constitute a valuable resource in teacher education. The aim of this study was to investigate PTs’ ideas about pupils’ difficulties, at a topic-specific level, upon beginning the teacher education programme. The “Lesson Preparation Method” was used in four case studies to elicit the conceptions of 32 PTs regarding pupils’ difficulties in four specific science and mathematics topics: plant growth, gases, equations and heat and temperature. In all four topic groups (n = 5 – 11), there was a variety of initial conceptions about pupils’ difficulties, which were categorised into two to five topic-specific categories. Although, initially, PTs may not have expressed any notions about pupils’ difficulties, conceptions were elicited by using the Lesson Preparation Method. Furthermore, we found that the initial ideas corresponded with earlier research on pupils’ difficulties, which could provide a potential resource when creating a scaffolding context in teacher education programmes where PCK development is stimulated.     

Using a New Learning Environment Questionnaire for Reflection in Teacher Action Research

This article reports the development, validation and use of an instrument designed to provide teachers with feedback information, based on students’ perceptions, about their classroom environments. The instrument was developed to provide teachers with feedback that they could use to reflect on their teaching practices and, in turn, guide the implementation of strategies to improve their learning environments. To determine the validity and reliability of the new instrument, data from 2043 grade 11 and 12 students from 147 classes in 9 schools were analysed. The Rasch model was used to convert data collected using a frequency response scale into interval data that are suitable for parametric analyses. During an action research process, reflective journals, written feedback, discussions at a forum and interviews with eight teachers helped to illuminate the processes used by teachers during action research. This article reports the views of these teachers in general and examines more closely how one of the teachers used student responses to the learning environment questionnaire as a tool for reflection and as a guide in transforming her classroom environment. This case study helped us to gauge the extent to which action research based on students’ perceptions of the learning environment was useful in guiding teachers’ improvements of their classroom learning environments.     

Research Experiences for Teachers (RET): Motivation, Expectations, and Changes to Teaching Practices due to Professional Program Involvement

This study investigated teachers’ motivation, expectations, and changes to teaching practices due to a 6 week summer professional development program involvement. Participants (n = 67) attended the Research Experiences for Teachers (RET) program within a major university in southeast. Surveys and interviews were used to collect data to answer the following research questions: (1) Who attends the RET program? (2) In what ways do elementary teachers differ from middle/secondary teachers with respect to their motivation for attending the RET program and their expectations about the program? (3) In what ways do elementary teachers differ from middle/secondary teachers with respect to implementing changes to their teaching practices due to RET program attendance? Survey results indicated significant differences between elementary teachers and secondary education teachers with respect to their expectations about the program, and changes to their teaching practices. Interview results provided support to survey findings. Implications for professional development and science teacher education are discussed in relationship with the current study findings.     

Developing prospective elementary teachers’ abilities to identify evidence of student mathematical achievement

This study investigated the effects of a classroom intervention on prospective elementary teachers’ ability to evaluate evidence of student achievement of mathematical learning goals. The intervention was informed by a framework for teacher education which aims to provide prospective teachers (PTs) with the skills needed to systematically learn from their own teaching practice. Prospective teachers (N = 160) participated in an intervention aimed at addressing their misconceptions about evidence of student learning. Results revealed that after the intervention, PTs were less likely to consider teacher behaviors to be evidence of student learning and more likely to discount student responses that were irrelevant to a specified learning goal. However, PTs were still likely to take procedural fluency as evidence of conceptual understanding and may have become overly skeptical of student understanding. Implications of the study suggest new ways of developing prospective teachers’ ability to systematically study and improve their teaching.     

Urban Students’ Perceptions of Teachers: Views of Students in General, Special, and Honors Education

Students’ satisfaction with school experiences has been linked to their sense of belongingness, connection to school, and achievement. Though the extant research addresses students’ perceptions of school climate and sense of belonging, there is a paucity of research about students’ views of teacher–student interactions. Five hundred and seventy-seven students from one ethnically and academically diverse urban high school were surveyed and interviewed about the nature of teacher talk with students. Findings from this mixed-methods investigation indicate students from general, special, and honors programs experience a wide range of interactions based on academic services received, gender, and ethnicity. More frequent perceived punitive feedback was reported by all students in special education as well as males in general and honors education programs, while Hispanic students indicated a greater frequency of perceived supportive feedback. Findings also reflect a wide range of attitudes and feelings about teachers, the educational system, and learning.     

Supporting Science Teachers in Alignment with State Curriculum Standards through Professional Development: Teachers’ Preparedness, Expectations and Their Fulfillment

Since A Nation at Risk was released in the 1980s, standards-based reform has been the most dominant trend in American educational policy, and the No Child Left Behind Act pushed the trend further by requiring states to develop rigorous curriculum standards. Though much has been said about these new standards, less has been said about whether or how well professional development helps teachers link their instruction to these standards. This study examined the impact of a professional development program for K-12 science teachers in helping teachers meet state curriculum standards. Seventy-five science teachers in Michigan participated in a 2-week summer workshop that used Problem-Based Learning for improving teachers’ content knowledge and pedagogical content knowledge. Researchers surveyed participating teachers about the change of teachers’ preparedness for standards-based teaching, their expectations to meet state curriculum standards, and whether their expectations were met. In addition, the usefulness of workshop activities was examined. Data analysis showed that to align teaching with state curriculum standards, participating teachers expected to learn instructional strategies and enhance science content knowledge through professional development, and by and large their expectations were well met. Collaboration with colleagues and facilitators helped teachers achieve their goals in terms of teaching within state curriculum standards. These findings have important implications for designing professional development to help teachers align instruction with curriculum standards.     

Computer science education as a cultural encounter: a socio-cultural framework for articulating teaching difficulties

This study demonstrates the power of the cultural encounter metaphor in explaining learning and teaching difficulties, using as an example computer science education (CSE). CSE is envisioned as an encounter between veterans of two computer-oriented cultures, that of the teachers and that of the students. Forty questionnaires administered to CS teachers, as well as in-depth interviews with four leading CS teachers, revealed those teachers perceived their students as having a different perspective on the domain, on what constitutes a beneficial approach to problem-solving and on the nature of satisfactory solutions. In fact, the teachers portrayed their teaching as a continual battle in which their success is limited. Yet, their instruction was characterized as a composite of enforcement and compromise, with few and isolated attempts at building on students’ cultural capital. The cultural encounter metaphor, while still viewing students as novices to the professional CS culture represented by their teachers, emphasizes that good teaching requires building upon students’ cultural capital to create zones of fertile cultural encounter.     

On-Site Pedagogical Content Knowledge Development

Experiences and reflection have long been regarded as a foundation for pedagogical content knowledge (PCK) development. However, little is known about how experienced teachers develop their PCK via reflection-in-action during their moment-to-moment classroom instruction. Drawing upon data sources including classroom observations, semi-structured interviews and stimulated recall interviews based on lesson videos, this study examined instances when four experienced teachers were found to invent new instructional strategies/representations on the spot during the lesson (referred to as on-site PCK development) in their first attempts at teaching a new topic. The study documented the moment-to-moment experiences of the teachers, including their reconstructed thought processes associated with these instances of on-site PCK development. An explanatory model of a three-step process comprising a stimulus, an integration process and a response was advanced to account for the on-site PCK development observed among the teachers. Three categories of stimulus that triggered on-site PCK development were identified. Factors influencing the integration process and, hence, the resulting response, included teachers’ subject matter knowledge of the new topic, their general pedagogical knowledge and their knowledge of student learning difficulties/prior knowledge related to the new topic. Implications for teacher professional development in terms of how to enhance teachers’ on-site PCK development are discussed.     

OPERATIONALIZING IDENTITY IN ACTION: A COMPARATIVE STUDY OF DIRECT VERSUS PROBABILISTIC MEASURES OF CURRICULAR ROLE IDENTITY FOR INQUIRY-BASED SCIENCE TEACHING

Teachers’ curricular role identities are those dimensions of their professional identities concerned with the use of curriculum materials. In a previous study, we developed and tested a survey instrument designed to measure preservice elementary teachers’ development of curricular role identity for science teaching through their use of science curriculum materials. In this follow-up study, a revised version of the survey was administered to a second group of preservice elementary teachers in the same science methods course, and data were analyzed within and across years. Results from this study suggest that preservice teachers articulated important similarities and differences between the curricular role identities for science teaching they attributed to themselves and to more experienced elementary teachers. Over time, they were often able to begin to appropriate the curricular role identities for science teaching that they attributed to more experienced elementary teachers. However, findings from the second survey administration also suggest that preservice teachers’ curricular role identities for science teaching are more stable when characterized by their actual curriculum design practices than when characterized by comparative, probabilistic means. These findings have important implications for science teacher education and curriculum development, as well as the operationalization of curricular role identity in education research.     

The Future of the Discipline? Mathematics and the <Emphasis Type="Italic">Undergraduate Ambassadors Scheme</Emphasis>

The crisis in UK mathematics education, both in schools and universities, has been widely reported. Currently, 24% of full-time mathematics teachers in English secondary education have `weak’ or `nil’ qualifications in the subject, 31% of secondary mathematics teachers are now over the age of 50, and it is estimated that England alone is short of 3500 qualified mathematics teachers. Furthermore, studies suggest that UK mathematics undergraduates often lack confidence in several key skills essential for teaching, and the availability of attractive careers for mathematics graduates impacts upon the numbers entering the profession, thus risking a spiral of decline. This paper recounts the development of a unit of study in the Faculty of Mathematical Studies at the University of Southampton, England, in conjunction with a new national initiative entitled the Undergraduate Ambassadors Scheme (UAS). This aims to address the crisis in UK mathematics education through the training and placement of final year undergraduates as teaching assistants in local schools, with a view to promoting mathematics as a university choice to the broadest possible constituency, whilst simultaneously developing those key skills in which undergraduates regularly feel least confident, and facilitating an insight into teaching as a career option. The paper also provides a detailed evaluation of this new initiative, together with the recent comments of students who, having completed the UAS unit, have progressed subsequently to postgraduate teacher education.     

Experienced Teachers’ Pedagogical Content Knowledge of Teaching Acid–base Chemistry

We investigated the pedagogical content knowledge (PCK) of nine experienced chemistry teachers. The teachers took part in a teacher training course on students’ difficulties and the use of models in teaching acid–base chemistry, electrochemistry, and redox reactions. Two years after the course, the teachers were interviewed about their PCK of (1) students’ difficulties in understanding acid–base chemistry and (2) models of acids and bases in their teaching practice. In the interviews, the teachers were asked to comment on authentic student responses collected in a previous study that included student interviews about their understanding of acids and bases. Further, the teachers drew story-lines representing their level of satisfaction with their acid–base teaching. The results show that, although all teachers recognised some of the students’ difficulties as confusion between models, only a few chose to emphasise the different models of acids and bases. Most of the teachers thought it was sufficient to distinguish clearly between the phenomenological level and the particle level. The ways the teachers reflected on their teaching, in order to improve it, also differed. Some teachers reflected more on students’ difficulties; others were more concerned about their own performance. Implications for chemistry (teacher) education are discussed. Submitted to Research in Science Education     

Equitable Classroom Assessment: Promoting Self-Development and Self-Determination

Assessment of students’ learning in school is deeply implicated in teaching for social justice. Yet classroom assessment is neglected relative to other aspects of curriculum and pedagogy in the literature on teaching for social justice. Some books have a relatively clear theory of anti-oppression education at their core but do not provide details about the links between assessment and their anti-oppression theory, while others provide a more detailed view of assessment practices but do not specify precisely how particular assessment strategies either promote or hinder anti-oppression education. This article provides a theoretical framework that spotlights key links between teaching for social justice and classroom assessment. To illustrate these connections, we draw on guided group discussions with ten high school social studies and English teachers, interested in pursuing professional development in this area. We conceptualize assessment as a set of institutional processes with the potential either to inhibit or nurture the development of young people as well as their capacity for self-determination. We analyze: (a) how teachers, through various assessment practices, can attempt to enable equitable relations within and beyond the classroom; and (b) performance standards aimed at helping teachers assess their students’ progress toward becoming more socially responsible and, ultimately, more self-determining. We conclude that even as teachers struggle to enact more socially just assessment practices, they need to communicate clearly with students and parents about what constitutes equitable assessment and what institutional practices, by contrast, sow seeds of self-doubt and lead to destructive labeling, ranking, and gate keeping.     

The relationship between teaching practices and student achievement in first year classes

This study investigated the links between the teaching practices of primary school teachers (n = 200) who were observed while presenting a new text to their first year classes, and the student achievement levels in those classes. The teaching practices are specifically concerned with the way the teachers supported and encouraged students’ activities during verbal interactions. Two different populations were observed: classes of first year students with a reduced teacher–student ratio (about ten students per class) and classes with a normal teacher–student ratio (between 20 and 25 students per class). We found that the average level of student achievement in the reduced size classes was higher than in the standard size classes but that teaching practices differed only at precise periods of group or individual introduction to new reading texts. In these periods, we found links between teaching practices and student achievement.     

Teaching experiments and professional development

The challenge that we address concerns teachers’ shifts toward student-centered instruction. We report on a yearlong professional development study in which two United States elementary school teachers engaged in a teaching experiment, as described by Steffe and Thompson (in: Lesh and Kelly (eds) Research on design in mathematics and science education, 2000). The teaching experiment involved close mathematical interactions with a pair of students after school, in the context of solving fractions tasks. By conducting a teaching experiment, we anticipated that each teacher would have more opportunity to develop insight into students’ mathematics. We also anticipated that these insights would influence the teachers’ classroom practice, even without explicit support for such a shift. Indeed, the teachers found that they began asking more probing questions of their students and spending more time listening to students’ explanations, but shifts to classroom practice were limited by constraining factors such an inflexible curriculum.     

Positive aspects of the teacher training supervision: The student teachers’ perspective

This paper explores the student teachers’ perceptions about the most positive aspects of the supervision provided during their teaching practice. The authors developed a study based on the reflections of a group of 224 student teachers about their cooperating teacher’s and university supervisor’s performance. Student teacher’s appraisals regarding their supervisors, the learning and progress perceived as resulting from their co-working with more experienced teachers, and the emotional aspects of this relationship are among the main aspects analysed in the study. Results show the importance attributed to the supervisors’ personal features and to the quality of the interactions established with their student teachers. These aspects were clearly regarded as an essential aspect of the student teachers’ emotional balance and resistance to the difficulties emerged during their entrance in the teaching profession. Some differences were perceived in terms of the students teachers’ evaluations regarding the moment of the practicum (beginning versus end) and the type of supervisor (university versus school). Some enquiry and suggestions for future research emerge as final contributions.     

Developing Elementary Teachers’ Understandings of Hedges and Personal Pronouns in Inquiry-Based Science Classroom Discourse

This study examined the effectiveness of introducing elementary teachers to the scholarly literature on personal pronouns and hedges in classroom discourse, a professional development strategy adopted during a summer institute to enhance teachers’ social understanding (i.e., their understanding of the social functions of language in science discussions). Teachers became aware of how hedges can be employed to remain neutral toward students’ oral contributions to classroom discussions, invite students to share their opinions and articulate their own ideas, and motivate students to inquire. Teachers recognized that the combined use of I and you can render their feedback authoritative, you can shift the focus from the investigation to students’ competence, and we can lead to authority loss. It is argued that explicitness, reflectivity, and contextualization are essential features of professional development programs aimed at improving teachers’ understandings of the social dimension of inquiry-based science classrooms and preparing teachers to engage in inquiry-based teacher–student interactions.     

Instructional development for teachers in higher education: impact on teaching approach

Although instructional development for teachers has become an important topic in higher education, little is known about the impact it has on daily teaching practice. The lack of systematic programme evaluation is an ongoing concern. In this study we investigate by use of a quasi-experimental design, the impact of an instructional development program for beginning university teachers on their teaching approach. Quantitative pre-test as well as post-test data were assembled from 20 experimental teachers and 20 control teachers. At the post-test qualitative data were gathered too: 17 teachers of the experimental group and 12 teachers of the control group were interviewed. Paired t-tests and analysis of covariance with the pre-test scores as a covariate showed some effect of instructional development on teaching approach. The analysis of the qualitative data sustained this result. Our results reveal the influence of instructional development on teachers’ teaching approach being slightly different for teachers belonging to distinct disciplines. Several interpretations and perspectives for further research are discussed.     

Addressing computational estimation in the Kuwaiti curriculum: teachers’ views

Computational estimation has not yet established a place in the Kuwaiti national curriculum. An attempt was made to include it during the early 1990s, but it was dropped by the Kuwaiti Ministry of Education because of the difficulties teachers had teaching it. In an effort to provide guidance for reintroducing the concept into the curriculum, this study reports on mathematics teachers’ understanding of the meaning of computational estimation and their views about its significance in the elementary and middle school curricula in Kuwait. Data gathered from 59 elementary and middle schools teachers in Kuwait revealed that more than 60% of teachers equate computational estimation with rounding. While two-thirds of the teachers viewed computational estimation to be an important skill for daily life; only one-fifth (20%) saw it as important in mathematics education. More than half of the teachers either disagreed with the idea of teaching computational estimation or only wanted to teach it in limited situations. Most were concerned about the difficulty of learning computational estimation or feared that teaching computational estimation would cause problems with students’ development of standard algorithms for determining an exact answer. These findings reveal the challenge that mathematics educators face in introducing computational estimation into the mathematics curriculum. In order for computational estimation to be taught in elementary and middle school classrooms, teachers need to understand the concept and its value in education. Teacher education needs to focus on helping teachers better understand the concept of computational estimation and appreciate its value for instruction.