Designing a Pedagogy of Inquiry in Teacher Education: Moving from resistance to listening

This paper reports a study of preservice teachers who investigated their own teaching during a field-based component of a mathematics education methods course. The course was designed to engage the preservice teachers in both mathematical and pedagogical inquiry. Analysis of video recordings of course discussions, audiotaped interviews with preservice teachers, audiotaped discussions of instructor's planning meetings, and copies of the instructor's and preservice teachers' journals identified two critical incidents that depict students' resistance to the course directions. Analysis of these critical incidents suggests that prospective teachers' interactions with their students can become the mirror through which we can investigate their interactions with us, as teacher educators, and with our course activities. In this way we might reframe the problem of resistance to one of listening—listening to the students, to each other, and to ourselves.     

Reflecting on the Use of Writing to Promote Mathematical Learning: An Examination of Preservice Mathematics Teachers' Perspectives

We examine preservice mathematics teachers' conceptions of writing as a tool for learning mathematics before and after participation in and reflection on writing tasks. We describe the use of two targeted activities incorporated into a secondary methods course: writing to learn mathematics (WTLM) and reflection on that writing. Prior to participation in these activities, the preservice teachers expressed reluctance toward the use of writing in mathematics and uncertainty as to how writing could be useful in mathematics, while accepting that some possible benefits might exist for students' procedural learning. Following participation in these activities, the preservice teachers expressed a willingness to accept writing as a useful tool for supporting an expanded view of teaching and learning mathematics. Specifically, the preservice teachers considered writing as a way to build connections between mathematics and other subjects, a means to assess student understanding of mathematics, and a beneficial support for student conceptual learning.     

USING LISTENING JOURNALS IN MATH METHODS

The purpose of this teacher action research was twofold: to learn more about preservice teachers' preconceived notions related to listening and to investigate how a listening journal assignment impacted preservice teachers' views of listening as an important aspect of discourse. The participants were enrolled in a mathematics methods course for PreK–3 (early childhood) majors during their last semester of coursework prior to student teaching. Data in the form of final reflections from participants' listening journals and researchers' field notes were analyzed. Findings suggest that the preservice teachers entered the course without truly considering listening as an important component of teaching methods related to facilitating classroom discourse. The listening journal assignment helped them begin to think more deeply about listening and the different definitions and modes of listening; however, at the end of the semester, many still wrote about their own personal journeys with listening and not about the role of listening as a key element in promoting classroom discourse and learning.     

Preservice Elementary Teachers' Evaluations of Elementary Students' Scientific Models: An aspect of pedagogical content knowledge for scientific modeling

Part of the work of teaching elementary science involves evaluating elementary students' work. Depending on the nature of the student work, this task can be straightforward. However, evaluating elementary students' representations of their science learning in the form of scientific models can pose significant challenges for elementary teachers. To address some of these challenges, we incorporated a modeling-based elementary science unit in our elementary science teaching methods course to support preservice teachers in gaining knowledge about and experience in evaluating students' scientific models. In this study, we investigate the approaches and criteria preservice elementary teachers use to evaluate elementary student-generated scientific models. Our findings suggest that with instruction, preservice elementary teachers can adopt criterion-based approaches to evaluating students' scientific models. Additionally, preservice teachers make gains in their self-efficacy for evaluating elementary students' scientific models. Taken together, these findings indicate that preservice teachers can begin to develop aspects of pedagogical content knowledge for scientific modeling.     

Student Self-Reported Learning Outcomes of Field Trips: The pedagogical impact

In this study, we used the classification and regression trees (CART) method to draw relationships between student self-reported learning outcomes in 26 field trips to natural environments and various characteristics of the field trip that include variables associated with preparation and pedagogy. We wished to examine the extent to which the preparation for the field trip, its connection to the school curriculum, and the pedagogies used, affect students’ self-reported outcomes in three domains: cognitive, affective, and behavioral; and the extent the students' socioeconomic group and the guide's affiliation affect students' reported learning outcomes. Given that most of the field trips were guide-centered, the most important variable that affected the three domains of outcomes was the guide's storytelling. Other variables that showed relationships with self-reported outcomes were physical activity and making connections to everyday life—all of which we defined as pedagogical variables. We found no significant differences in student self-reported outcomes with respect to their socioeconomic group and the guide's organizational affiliation.     

Purposeful Reflections: Scaffolding Preservice Teachers' Field Placement Observations

ABSTRACT

In this qualitative study we examine preservice teachers' abilities to connect theory and practice through the use of a collaboratively developed field observation guide, namely the “Targeted Field Observation Guide.” The goal in developing and implementing this field-based observation guide was to help preservice teachers make explicit, purposeful connections between their required, course-embedded field placements and the secondary undergraduate content area literacy courses in which they were enrolled. Forty-three preservice teachers participated in this study and were enrolled in a large public university or a small private college in the Midwestern United States. Analysis of participants' weekly written reflections shared via computer-mediated communication (Google Docs) reveals that using a field-based observation guide further supported connections and conversations with peers regarding their field reflections and observations. However, many participants' reflections still demonstrated limited connections between theory and practice.     

Preservice teachers' capacity to teach self-regulated learning: Integrating learning from problems and learning from successes

Using a quasi-experimental design, we integrated systematic learning from problematic and successful experiences into teachers' preparatory programs and examined how such learning affected preservice physics teachers' capacity to teach students self-regulated learning (SRL). Results indicated that preservice teachers who contemplated both problematic and successful experiences improved more in their actual teaching of SRL strategies and in their actual arrangement of SRL environments, compared to preservice teachers who contemplated only problematic experiences. The current study suggests the need to integrate systematic learning from problematic and successful experiences into teachers' preparatory programs as means of developing preservice teachers' capacity to promote students' SRL.     

Preservice teachers' beliefs about students' mathematical knowledge structure as a foundation for formative assessments

In an experiment, we studied beliefs about the structure of students' mathematical knowledge that may affect teachers' formative assessments. Using a novel approach that simulated an assessment situation, we measured the beliefs of N = 42 preservice mathematics teachers. Teachers' responses revealed that they predominantly thought of students' conceptual and procedural knowledge as being symmetrically related but not identical, which is in line with recent findings about students' knowledge. Their assessments may, thus, not be biased by incorrect beliefs. Teachers, however, did not believe conceptual and procedural knowledge to be more interrelated as a result of students' increased expertise.     

Fast Kids,Slow Kids,Lazy Kids: Framing the Mismatch Problem in Mathematics Teachers' Conversations

Abstract

This article examines the social nature of teachers' conceptions by showing how teachers frame the “mismatch” of students' perceived abilities and the intended school curriculum through conversational category systems. This study compares the conversations of 2 groups of high school mathematics teachers addressing the Mismatch Problem when implementing equity-geared reforms. Although East High teachers challenged conceptions that were not aligned with a reform, South High teachers reworked a reform mandate to align with their existing conceptions. This research found that the teachers' conversational category systems modeled problems of practice; communicated assumptions about students, subject, and teaching; and were ultimately reflected in the curriculum. Because East High teachers supported greater numbers of students' success in advanced mathematics, this study considers the relation between teachers' understandings of student learning and the success of equity-geared math reforms. In addition, this study contributes to the understanding of how teacher conceptions of students are negotiated and reified in context, specifically through interactions with colleagues and experiences with school reform.     

Elementary teachers' epistemological and ontological understanding of teaching for conceptual learning

The purpose of this study was to examine the ways in which elementary teachers applied their understanding of conceptual learning and teaching to their instructional practices as they became knowledgeable about conceptual change pedagogy. Teachers' various ways to interpret and utilize students' prior ideas were analyzed in both epistemological and ontological dimensions of learning. A total of 14 in‐service elementary teachers conducted an 8‐week‐long inquiry into students' conceptual learning as a professional development course project. Major data sources included the teachers' reports on their students' prior ideas, lesson plans with justifications, student performance artifacts, video‐recorded teaching episodes, and final reports on their analyses of student learning. The findings demonstrated three epistemologically distinct ways the teachers interpreted and utilized students' prior ideas. These supported Kinchin's epistemological categories of perspectives on teaching including positivist, misconceptions, and systems views. On the basis of Chi's and Thagard's theories of conceptual change, the teachers' ontological understanding of conceptual learning was differentiated in two ways. Some teachers taught a unit to change the ontological nature of student ideas, whereas the others taught a unit within the same ontological categories of student ideas. The findings about teachers' various ways of utilizing students' prior ideas in their instructional practices suggested a number of topics to be addressed in science teacher education such as methods of utilizing students' cognitive resources, strategies for purposeful use of counter‐evidence, and understanding of ontological demands of learning. Future research questions were suggested. © 2007 Wiley Periodicals, Inc. J Res Sci Teach 44: 1292–1317, 2007     

Assessing teachers' perceptions for school‐based aggression prevention programs: Applying a cognitive‐ecological framework

This article describes qualitative and quantitative assessment based on responses of 221 teachers from nine elementary schools in two districts (urban and suburban) to inform plans for reducing and preventing student aggression. Teachers' perceptions of students' aggressive behavior and beliefs were validated against students' self‐reports and archival disciplinary data. Using a brief survey, we found district‐ and grade‐level differences in teachers' perceptions of students' aggressive behavior and aggression supporting cognitions. Teacher reports on these two constructs each uniquely predicted teacher perceptions of the degree to which student aggression interferes with their jobs. Focus‐group interviews with teachers were used to elaborate on individual‐cognitive and ecological school factors related to student aggression, including procedures for handling aggression. The importance of teacher reports is highlighted, and implications for school program development are considered. © 2006 Wiley Periodicals, Inc. Psychol Schs 43: 331–344, 2006.     

Professional identity creation: Examining the development of beginning preservice teachers' understanding of their work as teachers

The importance of reflection in supporting the continued professional learning of preservice practitioners is well recognised. This study examines one aspect of the outcomes of preservice teachers' reflection: the development of their own self-image as a teacher. In making the transition from student to teacher, preservice teachers create their own professional identity. Their ability to articulate this identity is examined through a new construct, a “teachers' voice”. A teachers' voice, develops when preservice teachers interpret and reinterpret their experiences through the processes of reflection. A teachers' voice is articulated as part of the persons' self-image. The construct, a teachers' voice, was investigated by examining changes in preservice teachers' contributions in an online discussion forum. Two complementary approaches of content analysis were applied. Both methods revealed changes in preservice teachers' levels of engagement and showed that in the first semester of preservice teacher education, the majority of preservice teachers moved towards a more professional stance in their contributions.     

Shedding Light on Preservice Teachers' Domain-Specific Self-Efficacy

The purpose of this study was to investigate preservice teachers' efficacy beliefs across domains in a reading-specific methods course. Participants were preservice teachers in a state required reading methods course. During this course, preservice teachers were required to work with an elementary student in reading and write a case study linking theory to practice. At the beginning and end of the course, participants completed a battery of adapted, domain-specific versions of the Teacher Sense of Efficacy Scale. Results showed that preservice teachers reported a significant increase in their sense of efficacy within each domain. However, efficacy beliefs differed with regard to domain.     

What Preservice Teachers and Knowledgeable Others Professionally Notice During Lesson Study

The purpose of this study was to understand what preservice teachers and knowledgeable others professionally notice as they engaged in repeated cycles of a modified version of lesson study, as a component of a field experience in a teacher education program. The study also centered on comparing the professional noticing practices of preservice teachers with other lesson study participants, including classroom teachers and university facilitators. Data analyzed included videos of weekly lesson study analysis meetings for seven weeks for each of four teams. Each team included six preservice teachers, a classroom teacher, and a university facilitator. Findings indicate that preservice teachers primarily noticed elements about the classroom environment and teacher pedagogy, but included instances of noticing centered on students' mathematical thinking. In contrast, classroom teachers and university facilitators, as knowledgeable others, typically noticed general events and were less focused on students' mathematical thinking. Analysis of noticing trends over the seven weeks indicated that noticing levels remained steady initially, dropped in the fourth and fifth week, and resumed original status in the final weeks. Results that the preservice teachers' noticing comments were at higher levels than the knowledgeable others are contrary to other research studies and indicate that incorporating lesson study with appropriate scaffolds into a field experience for preservice teachers may be a viable option for encouraging noticing of students' mathematical thinking.     

Curriculum design for inquiry: Preservice elementary teachers' mobilization and adaptation of science curriculum materials

Curriculum materials are crucial tools with which teachers engage students in science as inquiry. In order to use curriculum materials effectively, however, teachers must develop a robust capacity for pedagogical design, or the ability to mobilize a variety of personal and curricular resources to promote student learning. The purpose of this study was to develop a better understanding of the ways in which preservice elementary teachers mobilize and adapt existing science curriculum materials to plan inquiry‐oriented science lessons. Using quantitative methods, we investigated preservice teachers' curriculum design decision‐making and how their decisions influenced the inquiry orientations of their planned science lessons. Findings indicate that preservice elementary teachers were able to accurately assess how inquiry‐based existing curriculum materials are and to adapt them to make them more inquiry‐based. However, the inquiry orientations of their planned lessons were in large part determined by how inquiry‐oriented curriculum materials they used to plan their lessons were to begin with. These findings have important implications for the design of teacher education experiences that foster preservice elementary teachers' pedagogical design capacities for inquiry, as well as the development of inquiry‐based science curriculum materials that support preservice and beginning elementary teachers to engage in effective science teaching practice. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 47:820–839, 2010     

An analysis of teachers' rating scales as sources of evidence for a standardised Greek reading test

Until recently there has been no nationally acceptable test for assessing reading for the higher grades (Five and Six) of the elementary schools in Greece. As part of an effort to validate such a test, evidence was gathered from teachers' rating scales. Seventy‐two teachers from Fifth and Sixth Grades all over Greece evaluated their 1377 students' reading ability prior to the administration of a standardised reading test. The teachers were instructed to rate each student's reading achievement, disregarding effort, intelligence, behaviour and attendance. Within class correlation coefficients were computed to determine whether teachers' personal judgement (ratings) and students' actual performance on the reading test were correlated. The standardised reading test and the teachers' ratings were found to have a strong correlation. The match between Greek teachers' assessments of student reading levels and the scores obtained using a newly standardised reading test is reported, in order to examine the extent to which teacher ratings and standardised test results of students yield the same information. The rationale of this study is to investigate whether a new standardised Greek reading test can provide an alternative tool for the assessment of Greek primary education.     

Spatial thinking in science,technology, engineering,and mathematics: Elementary teachers' beliefs,perceptions, and self-efficacy

Fostering students' spatial thinking skills holds great promise for improving Science, Technology, Engineering, and Mathematics (STEM) education. Recent efforts have focused on the development of classroom interventions to build students' spatial skills, yet these interventions will be implemented by teachers, and their beliefs and perceptions about spatial thinking influence the effectiveness of such interventions. However, our understanding of elementary school teachers' beliefs and perceptions around spatial thinking and STEM is in its infancy. Thus, we created novel measures to survey elementary teachers' anxiety in solving spatial problems, beliefs in the importance of spatial thinking skills for students' academic success, and self-efficacy in cultivating students' spatial skills during science instruction. All measures exhibited high internal consistency and showed that elementary teachers experience low anxiety when solving spatial problems and feel strongly that their skills can improve with practice. Teachers were able to identify educational problems that rely on spatial problem-solving and believed that spatial skills are more important for older compared to younger students. Despite reporting high efficacy in their general teaching and science teaching, teachers reported significantly lower efficacy in their capacities to cultivate students' spatial skills during science instruction. Results were fairly consistent across teacher characteristics (e.g., years of experience and teaching role as generalist or specialist) with the exception that only years of teaching science was related to teachers' efficacy in cultivating students' spatial thinking skills during science instruction. Results are discussed within the broader context of teacher beliefs, self-efficacy, and implications for professional development research.     

Exploring Preservice Elementary Teachers’ Understanding of the Essential Features of Inquiry-Based Science Teaching Using Evidence-Based Reflection

This study explored preservice elementary teachers' and their mentors' understanding of the essential features of inquiry-based teaching through the use of evidence-based reflection. The web-based video analysis tool (VAT) system was used to support preservice teachers' and mentors' evidence-based reflection during field experiences. Major data sources included VAT reflections and individual interviews. Data analysis indicated that the preservice teachers had been involved in various activities designed to support their understanding of inquiry features in a science methods class; they did not implement all of the features in their actual teaching. Both preservice teachers and mentors had difficulty connecting appropriate inquiry features to each teaching episode, which indicates their lack of understanding of inquiry. Both the preservice teachers and mentors had different levels of understanding for each feature. That is, they tended to understand certain features better than others. They interpreted each feature of inquiry-based science teaching too broadly. They also either had a teacher-centered view or tended to focus on issues unrelated to science teaching.     

Teaching nature of science through inquiry: Results of a 3‐year professional development program

This study assessed the influence of a 3‐year professional development program on elementary teachers' views of nature of science (NOS), instructional practice to promote students' appropriate NOS views, and the influence of participants' instruction on elementary student NOS views. Using the VNOS‐B and associated interviews the researchers tracked the changes in NOS views of teacher participants throughout the professional development program. The teachers participated in explicit–reflective activities, embedded in a program that emphasized scientific inquiry and inquiry‐based instruction, to help them improve their own elementary students' views of NOS. Elementary students were interviewed using the VNOS‐D to track changes in their NOS views, using classroom observations to note teacher influences on student ideas. Analysis of the VNOS‐B and VNOS‐D showed that teachers and most grades of elementary students showed positive changes in their views of NOS. The teachers also improved in their science pedagogy, as evidenced by analysis of their teaching. Implications for teacher professional development programs are made. © 2006 Wiley Periodicals, Inc. J Res Sci Teach 44: 653–680, 2007