A Study of Whole Classroom Mathematical Discourse and Teacher Change

This article presents a comparison of the first 2 years of an experienced middle school mathematics teacher's efforts to change her classroom practice as a result of an intervening professional development program. The teacher's intention was for her teaching to better reflect her vision of reform-based mathematics instruction. We compared events from the 1st and 2nd year's whole class discussions within a multilevel framework that considered the flow of information and the nature of peer- and teacher-directed scaffolding. Discourse analyses of classroom videos served both as an analytic tool for our study of whole classroom interactions, as well as a resource for promoting discussion and reflection during professional development meetings. The results show that there was little change in the teacher's specific goals and beliefs in light of a self-evaluation of her Year 1 practices, but substantial changes in how she set out to enact those goals. In Year 2, the teacher maintained a central, social scaffolding role, but removed herself as the analytic center to invite greater student participation. Consequently, student-led discussion increased manifold, but lacked the mathematical precision offered previously by the teacher. The analyses lead to insights about how classroom interactions can be shaped by a teacher's beliefs and interpretations of educational reform recommendations.     

Tell Us More: Reading Comprehension,Engagement, and Conceptual Press Discourse

This study examines interactions between teachers and students during reading comprehension instruction to determine how certain patterns of teacher–student talk support student comprehension achievement and reading engagement. The central focus of the study is conceptual press discourse, a pattern of teacher response that includes requests for evidence, examples, clarification, and elaboration. Hierarchical Linear Modeling analysis of data from 21 fourth- and fifth-grade classrooms (495 students) indicated that in classrooms where teachers more frequently used discourse patterns that reduced conceptual press, students demonstrated weaker comprehension and engagement outcomes.     

Changes in student teachers' agency beliefs during a teacher education year,and relationships with observed classroom quality,and day‐to‐day experiences

Background Conceptualizations of teachers' agency beliefs converge around domains of support and instruction. Aim We investigated changes in student teachers' agency beliefs during a 1 year teacher education course, and related these to observed classroom quality and day‐to‐day experiences in partnership schools during the practicum. Samples Out of a sample of 66 student teachers who had responded to at least two out of four times to a questionnaire (18 men 48 women; mean age 26.4 years), 30 were observed during teaching, and 20 completed a 4‐day short form diary. Methods Confirmatory factor analysis validated two agency belief constructs. Multi‐level models for change investigated individual differences in change over time. Multi‐level path models related observation and diary responses to agency beliefs. Results Supportive agency belief was high and stable across time. Instructional agency belief increased over time, suggesting a beneficial effect of teacher education. This increase was predicted by observed classroom quality (emotional support and student engagement) and daily positive affect and agency beliefs. Conclusions Teacher education is successful in creating a context in which student teachers' supportive agency beliefs can be maintained and instructional agency beliefs can increase during the course.     

Preservice Teachers' Personality Traits and Engagement in Creative Activities as Predictors of Their Support for Children's Creativity

The purpose of this study was to examine relationships among preservice teachers' personality traits, their own engagement in creative activities, and their beliefs about the teaching practices that have been shown to support children's creativity. A total of 302 early childhood and elementary preservice teachers participated in this study. The Ten-Item Personality Inventory (TIPI), the Creative Behavior Inventory (CBI), and the Creativity-Fostering Teacher Behavior Index (CFTI) were used to measure the preservice teachers' personality traits (Five-Factor Model), creativity-related experiences, and their creativity-fostering teaching practices. A conceptual model was hypothesized, tested, and supported by the results using multiple regression analyses and Sobel mediator tests. Findings indicate that preservice teachers who had higher scores on the openness to experience personality trait had more engagement in creativity-related experiences; those who had higher scores on the openness trait and who had more creativity-related experiences were more likely to espouse creativity-fostering teaching styles; and preservice teachers' own creativity-related experiences fully/partially mediated the relationship between the openness trait and their beliefs about specific creativity-fostering teaching practices. Implications for teacher education are discussed, and suggestions are made for future research on the relationships between teacher attributes and the use of teaching behaviors, which support children's creative development.     

The role of teachers' self-efficacy beliefs in the development of teacher-student relationships

Prior literature has suggested that teachers who are confident in their abilities to teach, assess, and manage classroom behavior may be more likely to engage in practices that lead to supportive and secure relationships with students. The current study investigated the trajectories of teacher-student relationships, examining the extent that teacher self-efficacy beliefs predicted ratings of conflict and closeness for 885 students from second to sixth grade. The trends of teacher-student closeness and conflict were modeled using a parallel curve of factors approach, controlling for student demographics and teacher-student racial and gender alignment prior to examining the extent that teacher self-efficacy beliefs influenced closeness and conflict across grades. Results from the parallel trajectories suggested that teacher-student conflict was stable from second to sixth grade, whereas teacher-student closeness demonstrated a declining curvilinear trend. The relationship between teacher-student conflict and closeness suggests that students with relatively high levels of conflict in second grade were likely to exhibit sharper declines in closeness over time. Across grades, teachers rated closer and less conflictual relationships with females but after controlling for gender and race (β = 0.083–0.328 for closeness; β = −0.118 to −0.238 for conflict), teacher-student racial and gender alignment associations with teacher-student relationship quality were less consistent. Teachers who reported higher self-efficacy beliefs were more likely to report higher ratings of closeness and lower ratings of conflict with students across all grades (β = 0.195–0.280 for closeness; β = −0.053 to −0.097 for conflict). These findings contribute to the literature regarding the role of teacher self-efficacy in teacher-student relationships. We discuss how teacher self-efficacy beliefs can be developed and leveraged to improve relationship quality in the classroom from a social cognitive perspective.     

Teacher's Encouragement on Creativity,Intrinsic Motivation,and Creativity: The Mediating Role of Creative Process Engagement

Drawing on Dewey's pragmatic perspective on talent cultivation and previous research on promoting employee creativity in industry, this study investigates student creativity performance in relation to teacher's encouragement, intrinsic motivation, and creative process engagement. Based on survey data collected from 140 vocational high school students who participated in a nation‐wide contest in Taiwan, path analyses were performed using structure equation modeling techniques. The results indicate that both teacher's encouragement and intrinsic motivation have a significant, although indirect, effect on student creativity, and that creative process engagement, as opposed to teacher encouragement or intrinsic motivation, has a direct and significant mediating effect on student creativity. This finding is in partial agreement with prior research which reports student creativity is positively associated with teacher encouragement and intrinsic motivation, highlighting the mediating role of creative process engagement in facilitating student creative performance.     

Representing,Running, and Revising Mental Models: A Computational Model

People use commonsense science knowledge to flexibly explain, predict, and manipulate the world around them, yet we lack computational models of how this commonsense science knowledge is represented, acquired, utilized, and revised. This is an important challenge for cognitive science: Building higher order computational models in this area will help characterize one of the hallmarks of human reasoning, and it will allow us to build more robust reasoning systems. This paper presents a novel assembled coherence (AC) theory of human conceptual change, whereby people revise beliefs and mental models by constructing and evaluating explanations using fragmentary, globally inconsistent knowledge. We implement AC theory with Timber , a computational model of conceptual change that revises its beliefs and generates human‐like explanations in commonsense science. Timber represents domain knowledge using predicate calculus and qualitative model fragments, and uses an abductive model formulation algorithm to construct competing explanations for phenomena. Timber then (a) scores competing explanations with respect to previously accepted beliefs, using a cost function based on simplicity and credibility, (b) identifies a low‐cost, preferred explanation and accepts its constituent beliefs, and then (c) greedily alters previous explanation preferences to reduce global cost and thereby revise beliefs. Consistency is a soft constraint in Timber ; it is biased to select explanations that share consistent beliefs, assumptions, and causal structure with its other, preferred explanations. In this paper, we use Timber to simulate the belief changes of students during clinical interviews about how the seasons change. We show that Timber produces and revises a sequence of explanations similar to those of the students, which supports the psychological plausibility of AC theory.     

The interpersonal character of teacher expectations: The perceived teacher-student relationship as an antecedent of teachers' track recommendations

Teacher expectations of students have long been recognized as a form of interpersonal expectations. In this study, we aimed to investigate the interpersonal character of teacher expectations by assessing 1) whether teacher expectations and the teacher-student relationship shared similar antecedents in terms of demographic characteristics of students, and 2) whether the dimensions closeness, conflict, and dependency of the teacher-student relationship were predictive of teacher expectations. Analyses were based on a large sample of 9881 students in 614 classes in the final grade of primary education. The results indicated that teacher expectations – as measured by track recommendations - and the teacher-student relationship were not consistent in antecedents. Student performance, parental education, and closeness were positive predictors of track recommendations, whereas they were negatively associated with conflict and dependency. Ethnicity was positively associated with track recommendations, but negatively with closeness. Furthermore, perceived closeness and conflict were not statistically significantly associated with track recommendations. A negative association was found for perceived dependency with teachers' track recommendations, although the latter association appeared stronger for high performing students. Finally, the results showed that teachers differed in how they weigh the conflict and dependency dimensions when formulating track recommendations, indicating that those teacher perceptions played a stronger role in some of the classes.     

School climate and ethnic‐racial identity in school: A longitudinal examination of reciprocal associations

The messages youth receive in schools about how they matter as individuals and as members of ethnic‐racial groups are influential in constructing their developing ethnic‐racial identities (ERI). However, the developing ERI students hold also have a role in shaping their experiences at school. The current study examined the longitudinal and reciprocal association between ERI (exploration and resolution) and school climate (support for cultural pluralism and teacher supportiveness) among 491 Black, Latino, and White middle school youth (M_age = 12.03, SD = 1.05, range: 11–17) in the Midwest. Cross‐lagged analyses revealed that greater perceptions of support for cultural pluralism within the school predicted greater exploration and resolution at later time points for all students. Moreover, greater exploration and resolution among White students was predictive of greater perceptions of support for cultural pluralism at the school. Higher quality teacher–student relationships predicted greater engagement in ERI exploration for all youth. The findings highlight the importance of school climate in helping shape ERI among youth attending a culturally diverse school and the role of such youth in shaping the climate at their school.     

Engaging contexts: Drawing the link between student and teacher experiences of the hidden curriculum

This article examines how academic disengagement (being off task, unenthusiastic and uncurious about learning) is facilitated by the hidden curriculum (the values, norms and beliefs transmitted via the structure of schooling), and mediated by race, ethnicity and gender for students in a working class elementary school. Additionally, we contextualize how a teacher was challenged by the hidden curriculum in her attempt to make her classroom environment engaging for all students. Participants included a young white female teacher and 21 second grade, low‐income students, of whom approximately 50% were white and 50% were Black or Latino/a. A teacher interview and fieldnotes covering 8 hours a week over 3 months comprised the data. Results indicated that students were required to show their engagement in particular ways that related to control and conformity. When they did not, they were reprimanded, which led to academic disengagement and the transmission of the hidden curriculum's message that school was not a place for them. This process was especially salient for Black and Latino boys, which indicated that the hidden curriculum was institutionalized. Results also showed that the hidden curriculum was a structural limitation for the teacher, as she was often thwarted in her attempts to create an academically engaging learning environment. Implications include strategies for school change and reform, including making the hidden curriculum more visible. Copyright © 2008 John Wiley & Sons, Ltd.     

Critical reflection on the ESL teacher’s subjectivity

This study explores the possibility of raising the author’s own critical awareness as an ESL teacher by reflecting critically on his subjectivity involved in the implementation of critical literacy in the reading classroom, especially examining not just his thoughts and feelings but also his teaching practices. It highlights discrepancies between his expectations and realities, and conflicts between his own beliefs. It also highlights not just effective aspects of his teaching, which show his contribution to enhancing dialogue among students and their engagement with critical social practices, but also less-effective aspects of his teaching, which show his failure to push participants for more information and his distortions of participants’ statements. Further, the study demonstrates the need for encouraging teachers to reflect critically on themselves as transformative beings.     

Attentes de motivation et comportements différenciés de l'enseignant d’éducation physique et sportive à l'égard de ses élèves : une étude en contexte naturel d'enseignement

Previous research set in both educational and sport settings has examined the relationship between, teacher's and coach's expectancies and differential behaviors issued to students and athletes. The purpose of the present study was to extend this line of research by analyzing consequences of a not much studied pre-existing expectation (i.e. non induced) — the one related to motivation — on the frequency, content, and style (i.e. controlling vs. autonomy-supportive) of interactions between PE teacher and his pupils. 144 pupils and their teachers from 7 classes were examined during physical education classes. The teacher's expectancies were assessed at the beginning of the academic cycle. Teacher-students interactions were taped and systematically coded with two instruments at 4 different occasions. Results showed that teacher's expectancies were related (1) positively to technical instruction and autonomy-supportive style, and (2) negatively to negative affective feedback and controlling style. These different dimensions could constitute important mediators of Pygmalion effect in PE.     

“Mistakes Can be Beautiful”: Creative Engagement in Arts Integration for Early Adolescent Learners

In this study we explored students’ perspectives and experiences engaging in an arts integration learning model during middle school through a pluralistic lens of creative engagement in learning. The sample included N = 86 students in Grades 6–7 attending schools in fringe rural and urban locales from small and mid-sized cities in the Pacific Northwest. We used a grounded theory approach to explore how creative engagement takes shape for the early adolescent learner. Our conceptual framework integrated intrapsychological (inward) processes with interpsychological (outward) exchange in the social environment of an arts integrated classroom. Schools involved in the study were part of a larger mixed-methods research investigation and received intensive support for school-wide arts integration development. We found that students valued opportunities in arts integration for (a) choice, (b) the expression of their unique interpretations, (c) taking risks and making mistakes, (d) recognizing and applying their Studio Habits of Mind, and (e) enhancement of motivation and engagement in learning. The need for competency, belonging, and autonomy were important conditions of the learning environment and the need for meaning-making was paramount in the process of creative engagement.     

Supporting Whole-class Collaborative Inquiry in a Secondary Mathematics Classroom

Recent mathematics education reform efforts call for the instantiation of mathematics classroom environments where students have opportunities to reason and construct their understandings as part of a community of learners. Despite some successes, traditional models of instruction still dominate the educational landscape. This limited success can be attributed, in part, to an underdeveloped understanding of the roles teachers must enact to successfully organize and participate in collaborative classroom practices. Toward this end, an in-depth longitudinal case study of a collaborative high school mathematics classroom was undertaken guided by the following two questions: What roles do these collaborative practices require of teacher and students? How does the community's capacity to engage in collaborative practices develop over time? The analyses produced two conceptual models: one of the teacher's role, along with specific instructional strategies the teacher used to organize a collaborative learning environment, and another of the process by which the class's capacity to participate in collaborative inquiry practices developed over time.     

Mother Knows Best: Pregnancy,Applied Ethics,and Epistemically Transformative Experiences

L.A. Paul argues that interesting issues for rational choice theory are raised by epistemically transformative experiences: experiences which provide access to knowledge that could not be known without the experience. Consideration of the epistemic effects of pregnancy has important implications for our understanding of epistemically transformative experiences and for debate about the ethics of abortion and applied ethics more generally. Pregnancy is epistemically transformative both in Paul’s narrow sense and in a wider sense: those who have not been pregnant face significant barriers to acquiring the knowledge made accessible through pregnancy. This knowledge is crucial for engaging with the ethics of abortion. The epistemically transformative_WIDE nature of pregnancy may require us to use new methods to try to partially grasp what pregnancy is like, such as, for example, significant engagement with narrative literature. Because pregnancy is also epistemically transformative in a narrow sense, we need to work out how to engage in ethical reasoning when relevant knowledge is not fully accessible to all. This argument has implications beyond the debate about abortion. Philosophers in many areas of applied ethics will need to work out how to respond appropriately to epistemically transformative experiences.     

Collaborative Empiricism in Cognitive Therapy for Psychosis: A Practice Guide

We outline our understanding of collaborative empiricism (CE) as used in cognitive therapy (CT) for psychosis. We discuss how CE can be thought of as a technique for facilitating cognitive change in the service of a client's goals, but also as an expression of respect for client autonomy, recognizing the ethical imperative to empower clients by involving them in decisions about their care. Taking a CE approach is therefore consistent with user-led conceptualizations of recovery, and the related movements of “shared decision-making” and “evidence-based patient choice.” We discuss how CE can aid with engagement, assessment, formulation, and intervention in CT, illustrating this with case material. We focus on how CE can help with distressing intrusive experiences and beliefs, and also consider its role in helping clients achieve wider life goals. Adaptations to CE for working with people with problems with learning, attention, and memory are discussed, as are considerations for working with high conviction and conceptual disorganization.     

Teacher beliefs,teacher characteristics,and school contextual factors: What are the relationships?

Background. There is a plethora of research around student beliefs and their contribution to student outcomes. However, there is less research in relation to teacher beliefs. Teacher factors are important to consider since beliefs mould thoughts and resultant instructional behaviours that, in turn, can contribute to student outcomes. Aims. The purpose of this research was to explore relationships between the teacher characteristics of gender and teaching experience, school contextual variables (socio‐economic level of school and class level), and three teacher socio‐psychological variables: class level teacher expectations, teacher efficacy, and teacher goal orientation. Sample. The participants were 68 male and female teachers with varying experience, from schools in a variety of socio‐economic areas and from rural and urban locations within New Zealand. Method. Teachers completed a questionnaire containing items related to teacher efficacy and goal orientation in reading. They also completed a teacher expectation survey. Reading achievement data were collected on students. Interrelationships were explored between teacher socio‐psychological beliefs and the teacher and school factors included in the study. Results. Mastery‐oriented beliefs predicted teacher efficacy for student engagement and classroom management. The socio‐economic level of the school and teacher gender predicted teacher efficacy for engagement, classroom management, instructional strategies, and a mastery goal orientation. Being male predicted a performance goal orientation. Conclusions. Teacher beliefs, teacher characteristics, and school contextual variables can result in differences in teacher instructional practices and differing classroom climates. Further investigation of these variables is important since differences in teachers contribute to differences in student outcomes.     

Reasoning About Race and Pedagogy in Two Preservice Science Teachers: A Critical Race Theory Analysis

This study describes the experiences of two preservice science teachers as they progress through their respective teacher education programs and uses critical race theory to examine the manner in which conceptions about race and its pedagogical implications change over time. Using a longitudinal case study method, participants' conceptual ecologies of race and pedagogy are mapped both before and after student teaching, and each case is analyzed for evidence of conceptual change in these areas. Findings show that conceptions about race and the pedagogical implications of race changed in ways that likely would have gone undetected in earlier studies because they did not result in wholesale changes in beliefs or teaching practice. This study suggests that the difficulty of fostering an understanding of structural racism and difference may often be underestimated, as revising one's model about race is mitigated strongly by learners' existing conceptual ecologies.