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.     

The influence of video clubs on teachers’ thinking and practice

This article examines a model of professional development called “video clubs” in which teachers watch and discuss excerpts of videos from their classrooms. We investigate how participation in a video club influences teachers’ thinking and practice by exploring three related contexts: (a) teachers’ comments during video-club meetings, (b) teachers’ self-reports of the effects of the video club, and (c) teachers’ instruction across the year. Data analysis revealed changes in all three contexts. In the video-club meetings, teachers paid increased attention to student mathematical thinking over the course of the year. In interviews, teachers reported having learned about students’ mathematical thinking, about the importance of attending to student ideas during instruction, and about their school’s mathematics curriculum. Finally, shifts were also uncovered in the teachers’ instruction. By the end of the year, teachers increasingly made space for student thinking to emerge in the classroom, probed students’ underlying understandings, and learned from their students while teaching.     

The meaning of mathematics instruction in multilingual classrooms: analyzing the importance of responsibility for learning

In the multilingual mathematics classroom, the assignment for teachers to scaffold students by means of instruction and guidance in order to facilitate language progress and learning for all is often emphasized. In Sweden, where mathematics education is characterized by a low level of teacher responsibility for students’ performance, this responsibility is in part passed on to students. However, research investigating the complexity of relations between mathematics teaching and learning in multilingual classrooms, as well as effect studies of mathematics teaching, often take the existence of teachers’ responsibility for offering specific content activities for granted. This study investigates the relations between different aspects of responsibility in mathematics teaching and students’ performance in the multilingual mathematics classroom. The relationship between different group compositions and how the responsibility is expressed is also investigated. Multilevel structural equation models using TIMSS 2003 data identified a substantial positive influence on mathematics achievement of teachers taking responsibility for students’ learning processes by organizing and offering a learning environment where the teacher actively and openly supports the students in their mathematics learning, and where the students also are active and learn mathematics themselves. A correlation was also revealed between group composition, in terms of students’ social and linguistic background, and how mathematics teaching was performed. This relationship indicates pedagogical segregation in Swedish mathematics education by teachers taking less responsibility for students’ learning processes in classes with a high proportion of students born abroad or a high proportion of students with low socio-economic status.     

��It depends on what science teacher you got��: urban science self-efficacy from teacher and student voices

In the United States today, urban schools serve the majority of high-poverty and high minority populations including large numbers of Hispanic students. While many Hispanic students perform below grade level in middle school science, the science teaching community as a whole is lacking elements of diversity as teachers struggle to meet the needs of all learners. Researchers have recognized that science teacher effectiveness, one consequence of self-efficacy among teachers, is associated with future science achievement and science-related careers of their students. This qualitative study explores how three science teachers’ effectiveness in the classroom impacts students’ science self-efficacy beliefs at one urban middle school. Hispanic students were the focus of this investigation due to demographics and history of underperformance within this district. Teachers’ perspectives, as well as outside observer evaluations of instructional strategies and classroom climates were triangulated to explore dynamics that influence students’ interests and motivation to learn science using a framework to link teachers’ sense of efficacy (focusing on student outcomes). Findings suggest the impact teacher effectiveness can have on student outcomes, including strengthened student science self-efficacy and increased science achievement. Building awareness and support in teachers’ sense of efficacy, as well as developing respectful and supportive relationships between educator/facilitator and pupil during the transition to middle school may construct permanence and accomplishment for all in science.     

Teaching Thinking Skills in Context-Based Learning: Teachers’ Challenges and Assessment Knowledge

For an educational reform to succeed, teachers need to adjust their perceptions to the reform’s new curricula and strategies and cope with new content, as well as new teaching and assessment strategies. Developing students’ scientific literacy through context-based chemistry and higher order thinking skills was the framework for establishing a new chemistry curriculum for Israeli high school students. As part of this endeavor, we developed the Taste of Chemistry module, which focuses on context-based chemistry, chemical understanding, and higher order thinking skills. Our research objectives were (a) to identify the challenges and difficulties chemistry teachers faced, as well as the advantages they found, while teaching and assessing the Taste of Chemistry module; and (b) to investigate how they coped with teaching and assessing thinking skills that include analyzing data from graphs and tables, transferring between multiple representations and, transferring between chemistry understanding levels. Research participants included eight teachers who taught the module. Research tools included interviews, classroom observations, teachers-designed students’ assignments, and developers-designed students’ assignments. We documented different challenges teachers had faced while teaching the module and found that the teachers developed different ways of coping with these challenges. Developing teachers’ assessment knowledge (AK) was found to be the highest stage in teachers’ professional growth, building on teachers’ content knowledge (CK), pedagogy knowledge (PK), and pedagogical-content knowledge (PCK). We propose the use of assignments designed by teachers as an instrument for determining their professional growth.     

Teacher or Examiner? The Tensions between Formative and Summative Assessment in the Case of Science Coursework

The aim of the reported study was to explore how science teachers made sense of their roles and responsibilities in teaching and assessing science coursework. The focus was on the teacher assessment, the feedback that teachers gave to students and, how they perceived their role when they taught and assessed students’ science coursework reports. The research methodology included observation of science lessons, collection of marked students’ reports and two interviews with each of the nine participant teachers. Two cases of teachers are considered as representative of the participant teachers and their perceptions and practices are compared and contrasted. Teachers either adopted the role of the examiner or combined the role of the teacher with that of examiner. They distinguished marking of science theory exercises from marking of coursework and, teaching theory from teaching investigations, on the basis that the grade they assigned to coursework contributed to the total grade for external exams. A key conclusion is that teaching and assessment of science coursework need to re-focus on learning. The study calls for changes in public policy for summative assessment to place more reliance on teachers’ assessments and secondly, for changes in school practices in formative assessment for teachers to support students to learn in the case of science coursework.     

Elementary Teachers’ Beliefs About Teaching Science and Classroom Practice: An Examination of Pre/Post NCLB Testing in Science

The impact of No Child Left Behind (NCLB) mandated state science assessment on elementary teachers’ beliefs about teaching science and their classroom practice is relatively unknown. For many years, the teaching of science has been minimized in elementary schools in favor of more emphasis on reading and mathematics. This study examines the dynamics of bringing science to the forefront of assessment in elementary schools and the resulting teacher belief and instructional shifts that take place in response to NCLB. Results indicated that teachers’ beliefs about teaching science remained unchanged despite policy changes mandated in NCLB. Teacher beliefs related to their perceptions of what their administrators and peer groups’ think they should be doing influenced their practice the most. Most teachers reported positive feelings and attitudes about science and reported that their students had positive feelings and attitudes about science; however, teachers reported teaching science less as a result of NCLB. Implications for elementary science education reform and policy are discussed.     

Using critical race theory to analyze science teachers culturally responsive practices

Culturally responsive science teaching is using knowledge about the culture and life experiences of students to structure learning that is conducive to their needs. Understanding what teachers need to prepare them to be culturally responsive is a matter of continuous debate. As the focus of multicultural education ventures farther away from its roots, advocating the civil rights of historically oppressed groups, concerns about the gravity of racial inequity on schooling continues. How will this shift in focus influence teachers’ capacity to accommodate students’ needs resulting from racial inequities in this society, particularly African American students? What knowledge is essential to their effectiveness? This qualitative study examined the instructional practices of two effective middle school science teachers deemed culturally responsive by their administrator on the basis of classroom observations, students’ responses and standardized assessment results. Both teachers’ classrooms consisted primarily of African American students. Grounded theory was used to analyze the teachers’ beliefs and practices in order to identify existing commonalties. Critical race theory was used to identify whether there was any influence of the students’ racial identities on the teachers’ beliefs and practices. The analysis reveals that the teachers’ beliefs and practices were informed by their critical awareness of social constraints imposed upon their African American students’ identities. These findings communicate the significance of sociocultural awareness to informing the teachers’ instruction, as well as their strategies for managing the varying dynamics occurring in their classrooms. It can be deduced from the findings that an understanding of racial inequities is crucial to the development of sociocultural awareness, and is the foundation for the culturally responsive dispositions and practices of these middle school science teachers.     

A Framework for Analysis of Teachers’ Geometric Content Knowledge and Geometric Knowledge for Teaching

Current reform-driven mathematics documents stress the need for teachers to provide learning environments in which students will be challenged to engage with mathematics concepts and extend their understandings in meaningful ways (e.g., National Council of Teachers of Mathematics, 2000, Curriculum and evaluation standards for school mathematics. Reston, VA: The Council). The type of rich learning contexts that are envisaged by such reforms are predicated on a number of factors, not the least of which is the quality of teachers’ experience and knowledge in the domain of mathematics. Although the study of teacher knowledge has received considerable attention, there is less information about the teachers’ content knowledge that impacts on classroom practice. Ball (2000, Journal of Teacher Education, 51(3), 241–247) suggested that teachers’ need to ‘deconstruct’ their content knowledge into more visible forms that would help children make connections with their previous understandings and experiences. The documenting of teachers’ content knowledge for teaching has received little attention in debates about teacher knowledge. In particular, there is limited information about how we might go about systematically characterising the key dimensions of quality of teachers’ mathematics knowledge for teaching and connections among these dimensions. In this paper we describe a framework for describing and analysing the quality of teachers’ content knowledge for teaching in one area within the domain of geometry. An example of use of this framework is then developed for the case of two teachers’ knowledge of the concept ‘square’.     

THE ROLE OF TEACHER CHARACTERISTICS AND PRACTICES ON UPPER SECONDARY SCHOOL STUDENTS�� MATHEMATICS SELF-EFFICACY IN NYANZA PROVINCE OF KENYA: A MULTILEVEL ANALYSIS

The study identified two dimensions of teacher self-efficacy and practices and five dimensions of students’ mathematics self-efficacy and sought to determine the extent to which teacher characteristics and practices can enhance secondary school students’ self-efficacy. Data were collected from 13,173 students in 193 teachers’ classrooms from 141 schools in the 10 districts of Lake Victoria Region of Kenya. Two-level hierarchical linear model revealed that teachers’ frequent use of mathematics homework, their level of interest and enjoyment of mathematics, as well as their ability and competence in teaching mathematics were found to play a key role in promoting students’ mathematics self-efficacy. Teachers’ ability and competence in teaching were also found to be effective in narrowing the gender gap in students’ self-confidence and competence in mathematics. The study recommends that teacher training colleges emphasize such teacher practices and values in order to enhance students’ mathematics self-efficacy, reduce their level of anxiety and fear of mathematics, and consequently, enhance their achievement in mathematics. Professional development opportunities should also be made available to in-service teachers to continually update their knowledge and skills and develop new strategies for teacher effectiveness.     

Understanding Teachers’ Conceptions of Classroom Inquiry With a Teaching Scenario Survey Instrument

A survey instrument using everyday teaching scenarios was developed to measure teacher conceptions of inquiry. Validity of the instrument was established by comparing responses for a group of secondary teachers to narrative writing and group discussion. Participating teachers used only three of the five essential features of inquiry detailed in the standards documents (NRC 2000) when expressing their ideas of classroom inquiry. The features of ‘evaluating explanations in connection with scientific knowledge’ and ‘communicating explanations’ were rarely mentioned. These missing components indicate a gap between the teachers’ conceptions of inquiry and the ideals of the reform movement.     

A Cross-Analysis of the Mathematics Teacher’s Activity. An Example in a French 10th-Grade Class

The purpose of this paper is to contribute to the debate about how to tackle the issue of ‘the teacher in the teaching/learning process’, and to propose a methodology for analysing the teacher’s activity in the classroom, based on concepts used in the fields of the didactics of mathematics as well as in cognitive ergonomics. This methodology studies the mathematical activity the teacher organises for students during classroom sessions and the way he manages¹ the relationship between students and mathematical tasks in two approaches: a didactical one [Robert, A., Recherches en Didactique des Mathématiques 21(1/2), 2001, 7–56] and a psychological one [Rogalski, J., Recherches en Didactique des Mathématiques 23(3), 2003, 343–388]. Articulating the two perspectives permits a twofold analysis of the classroom session dynamics: the “cognitive route” students are engaged in—through teacher’s decisions—and the mediation of the teacher for controlling students’ involvement in the process of acquiring the mathematical concepts being taught. The authors present an example of this cross-analysis of mathematics teachers’ activity, based on the observation of a lesson composed of exercises given to 10th grade students in a French ‘ordinary’ classroom. Each author made an analysis from her viewpoint, the results are confronted and two types of inferences are made: one on potential students’ learning and another on the freedom of action the teacher may have to modify his activity. The paper also places this study in the context of previous contributions made by others in the same field.     

Science Teacher Learning of MBL-Supported Student-Centered Science Education in the Context of Secondary Education in Tanzania

Science teachers from secondary schools in Tanzania were offered an in-service arrangement to prepare them for the integration of technology in a student-centered approach to science teaching. The in-service arrangement consisted of workshops in which educative curriculum materials were used to prepare teachers for student-centered education and for the use and application of Microcomputer Based Laboratories (MBL)—a specific technology application for facilitating experiments in science education. Quantitative and qualitative data were collected to study whether the in-service arrangement impacted teacher learning. Teacher learning was determined by three indicators: (1) the ability to conduct MBL-supported student centered science lessons, (2) teachers’ reflection on those lessons and (3) students’ perceptions of the classroom environment. The results of the research indicate that the teachers’ were able to integrate MBL in their science lessons at an acceptable level and that they were able to create a classroom environment which was appreciated by their students as more investigative and open-ended.     

The constructivist paradox: Teachers’ knowledge and constructivist science teaching

Advocates of constructivist science recommend that school science begins with children’s own constructions of reality. This notion of the way in which students’ knowledge of science grows is closely paralleled by recent research on teachers’ knowledge. This paper draws on case study evidence of teachers’ work to show how two experienced teachers’ attempts to develop alternative ways of teaching science involved reframing their previous patterns of understanding and practice. Two alternative interpretations of the case study evidence are offered. One interpretation, which focuses on identifying gaps in the teachers’ knowledge of science teaching, leads to theconstructivist paradox. The second interpretation explores theconstructivist parallel, an approach which treats the process of teachers’ knowledge growth with the same respect as constructivists treat students’ learning of science. This approach, the authors argue, is not only more epistemologically consistent but also opens up the possibilities of helping teachers lead students towards a constructivist school science. Specializations: Teachers’ knowledge and culture, educational change, qualitative research methodology. Specializations: Teachers’ knowledge, imagery and teachers’ work, teacher collegiality, supervision of teachers’ work.     

Alignment, cohesion, and change: Examining mathematics teachers’ belief structures and their influence on instructional practices

This collective case study reports on an investigation into the relationship between mathematics teachers’ beliefs and their classroom practices, namely, how they organized their classroom activities, interacted with their students, and assessed their students’ learning. Additionally, the study examined the pervasiveness of their beliefs in the face of efforts to incorporate reform-oriented classroom materials and instructional strategies. The participants were five high school teachers of ninth-grade algebra at different stages in their teaching career. The qualitative analysis of the data revealed that in general beliefs were very influential on the teachers’ daily pedagogical decisions and that their beliefs about the nature of mathematics served as a primary source of their beliefs about pedagogy and student learning. Findings from the analysis concur with previous studies in this area that reveal a clear relationship between these constructs. In addition, the results provide useful insights for the mathematics education community as it shows the diversity among the inservice teachers’ beliefs (presented as hypothesized belief models), the role and influence of beliefs about the nature of mathematics on the belief structure and how the teachers designed their instructional practices to reflect these beliefs. The article concludes with a discussion of implications of teacher education.     

Reversing the Downward Spiral of Science Instruction in K-2 Classrooms

This study investigated the extent to which teacher professional development led to changes in science instruction in K-2 classrooms in rural school districts. The research specifically examined changes in (a) teachers’ content knowledge in science; (b) teachers’ self-efficacy related to teaching science; (c) classroom instructional time allotted to science; and (d) instructional strategies used in science. The study also investigated contextual factors contributing to or hindering changes in science instruction. Data sources included a teacher survey, a self-efficacy assessment, content knowledge tests, interviews, and classroom observations. After one year in the program, teachers showed increased content knowledge and self-efficacy in teaching science; they spent more instructional time on science and began using different instructional strategies. Key contextual factors included curricular demands, resources, administrative support, and support from other teachers.     

The Rhetoric of Care: Preservice Teacher Discourses that Depoliticize, Deflect, and Deceive

How teachers “care” for students is a well-established line of inquiry in educational research, but the ways such “care” may function as symbolic violence have received scant attention. In this ethnographic investigation of classroom disciplinary interactions, the characteristics and functions of preservice teachers’ care discourses are examined. By translating deficit discourses into expressions of praise for students’ nonacademic talents, the participants’ rhetoric of care effectively shifts blame for failure from teacher to student. The preservice teachers’ expressions of care also function to veil the power being produced in such rhetoric, to frame the teacher as victim when said care is rejected, and to reverse the carer/cared-for dynamic when teachers’ attempts to inspire academic progress are unsuccessful. Implications for teacher education and teacher development are provided as are suggestions for how to recognize and implement more authentic forms of care.     

Reading teachers’ knowledge of children’s literature and English phonology

We investigated relationships among elementary teachers’ reading-related content knowledge (knowledge of literature and phonology), their philosophical orientation toward reading instruction, their classroom practice, and their students’ learning. Correlations showed little relationship between instructional philosophy and content knowledge, and little relationship between instructional philosophy and classroom practice. However, relationships emerged between content knowledge and instruction, and between kindergarten teachers’ phonological knowledge and their students’ reading achievement. We recommend that the recent focus on teacher’s disciplinary knowledge be broadened to include teachers of beginning reading and that teachers be afforded opportunities to develop the necessary knowledge base to teach reading effectively.