An Investigation of Teachers' Beliefs of Students' Algebra Development

Elementary, middle, and high school mathematics teachers (N = 105) ranked a set of mathematics problems based on expectations of their relative problem-solving difficulty. Teachers also rated their levels of agreement to a variety of reform-based statements on teaching and learning mathematics. Analyses suggest that teachers hold a symbol-precedence view of student mathematical development, wherein arithmetic reasoning strictly precedes algebraic reasoning, and symbolic problem-solving develops prior to verbal reasoning. High school teachers were most likely to hold the symbol-precedence view and made the poorest predictions of students' performances, whereas middle school teachers' predictions were most accurate. The discord between teachers' reform-based beliefs and their instructional decisions appears to be influenced by textbook organization, which institutionalizes the symbol-precedence view. Because of their extensive content training, high school teachers may be particularly susceptible to an expert blindspot, whereby they overestimate the accessibility of symbol-based representations and procedures for students' learning introductory algebra.     

A Mixed‐Method Examination of Preschool Teacher Beliefs About Social–Emotional Learning and Relations to Observed Emotional Support

The connections between parents' socialization practices and beliefs about emotions, and children's emotional development have been well studied; however, teachers' impacts on children's social–emotional learning (SEL) remain widely understudied. In the present study, private preschool and Head Start teachers (N = 32) were observed using the Classroom Assessment Scoring System. Comparison groups were created based on their observed emotional support and then compared on their qualitative responses in focus group discussions on beliefs about emotions and SEL strategies. Teachers acknowledged the importance of preparing children emotionally (as well as academically) for kindergarten, but substantial differences emerged between the highly emotionally supportive and moderately emotionally supportive teachers in three areas: (1) teachers' beliefs about emotions and the value of SEL; (2) teachers' socialization behaviours and SEL strategies; and (3) teachers' perceptions of their roles as emotion socializers. Understanding such differences can facilitate the development of intervention programs and in‐service training to help teachers better meet students' SEL needs. Copyright © 2014 John Wiley & Sons, Ltd.     

Classroom context,teacher expectations,and cognitive level: Predicting children's math ability judgments

Classroom practices that make ability differences salient communicate differential teacher expectations for students. This study reports on a new observational tool for measuring Classroom Ability-based Practices (CAP) and explores how young children's self-perceptions of ability in mathematics are related to their teachers' expectations for them and to their cognitive reasoning skills in classrooms that vary in usage of such ability-differentiated practices. The sample consisted of 193 children and their teachers in 15 first grade classrooms. The CAP was a reliable measure of ability-based differential teacher treatment and showed criterion validity as a moderator variable in predicting children's ability perceptions. In highly ability-differentiating classrooms, children's self-ratings were more congruent with teachers' expectations of students' mathematics ability. Also in highly ability-differentiating classrooms, higher cognitive levels predicted lower self-ability ratings in math. These findings extend our understanding of the social and cognitive factors that shape young children's self-judgments of math competence.     

Polite Girls and Creative Boys? Students' Gender Moderates Accuracy of Teachers' Ratings of Creativity

The aim of this study was to examine whether, and to what extent, teachers are able to recognize the creativity of their students. The study measured the creative abilities, creative attitude, creative activity, as well as intrinsic motivation, intelligence, and school functioning of 589 Polish high school students, while their teachers (N = 178) rated students' creativity. The structural equation model (SEM) demonstrated that the accuracy of teachers' ratings of students' creativity is generally low—the latent factor of students' creativity reliably, however weakly, predicted teachers' ratings. The accuracy of teachers' ratings was moderated by gender: Only in the case of male students did the latent creativity factor reliably predict teachers' ratings. Students' school functioning emerged as a key factor positively associated with the perception of students as creative.     

Similarities and dissimilarities between teachers' and students' relationship views in upper elementary school: The role of personal teacher and student attributes

The present study aimed to advance insight into similarities and dissimilarities between teachers' and students' views of closeness and conflict in their dyadic relationship, and personal teacher and student attributes that contribute to these views. In total, 464 students (50.2% girls) and 62 teachers (67.5% females) from grades 4 to 6 participated in this study. Teachers filled out questionnaires about their background characteristics, self-efficacy (TSES), and student–teacher relationship perceptions (STRS) and students answered questions about their demographics and the student–teacher relationship quality (SPARTS). Peer-nominations were used to measure students' internalizing and externalizing behavior. Tests for measurement invariance suggested that the conflict and closeness constructs both approximated similarity across students and teachers. Multilevel structural equation models furthermore indicated that students' relationship perceptions, and conflict in particular, were predicted by their own gender, socioeconomic status, and internalizing and externalizing behavior. Additionally, teaching experience negatively predicted students' perceived conflicts. Teachers' relationship perceptions were both predicted by their own characteristics (teaching experience) and student features (gender, socioeconomic status, and externalizing behavior). These predictors explained between 39% and 61% of the variance in student- and teacher-perceived closeness and conflict. Last, teachers' general self-efficacy was positively associated with mean levels of closeness, and negatively associated with mean levels of conflict across student–teacher dyads.     

Teachers' perceptions of remediation possibilities of Dutch students in special education

Background. Research suggests that referral practices of teachers in regular education are not only affected by the level of learning difficulties but also by student behaviour and the level of students' parental involvement in education. It was hypothesized that teachers maintain a notion of the ‘ideal’ student, who has relatively good academic skills, is well behaved and has highly involved parents. Aims. The main question of this study was whether special‐education teachers' perceptions regarding remediation possibilities are similarly affected by student behaviour and the level of students' parental involvement. Sample. Nineteen experienced Dutch school teachers in special education each evaluated four students: two with relatively high and two with relatively low academic performance. Methods. Three questionnaires to assess learning difficulties, behavioural problems and the level of parental involvement were developed. Results. Teachers' perceptions of remediation possibilities were related to the severity of the learning difficulties and academic skill. Academic skill, in turn, was strongly related to the perception of the children's behavioural problems and parental involvement, which, in turn, links the perception of remediation possibilities indirectly to children's behavioural problems and parental involvement. Conclusions. Special education teachers may also hold an image of the ‘ideal’ student. Students with high academic achievement levels are perceived as having fewer behavioural problems and more highly involved parents than students with low academic achievement levels. Whether this is due to justified or unjustified teachers' perceptions is a matter for future research. What is important is that stereotyping of students (justly or not) poses a serious problem for the Dutch reintegration policy.     

Investigating Two Approaches to Fostering Children's Comprehension of Literature

This instructional study investigated the effects of two approaches to fostering elementary students' comprehension of literature. Participants were 54 third-grade students in 2 classrooms in a linguistic and culturally diverse, urban elementary school. Students read two folktales, receiving a Scaffolded Reading Experience (SRE) unit with one folktale and a unit we termed a Response-Oriented approach with the other folktale in a counterbalanced fashion. Classes were observed throughout both units and students completed multiple-choice and short-answer tests after reading each story and receiving the unit instruction. Teachers were interviewed after presenting both units. Results on the multiple-choice tests showed that students scored significantly higher when receiving the SRE units and that teachers preferred the SRE unit lessons. However, there were no differences between the two approaches on the short-answer tests, and teachers noted that some of the activities in the Response-Oriented units were very useful. Our conclusions are that both the Response-Oriented units and the SRE units provided strong scaffolding for students' reading, that the two approaches should be thought of as complementary rather than as competing, and that there is a place for both of them in classrooms that seek to build both comprehension and appreciation of literature.     

Bully Busters: A Psychoeducational Intervention for Reducing Bullying Behavior in Middle School Students

The present study examined the effectiveness of a bully prevention program counselors may use to modify teachers' knowledge/use of bullying intervention skills, teachers' self‐efficacy, and students' classroom bullying behaviors. Participants attended 3 training sessions and participated on a support team. The findings indicated that the treatment program effectively increased teachers' knowledge/use of intervention skills, teachers' personal self‐efficacy, and self‐efficacy related to working with specific types of children and reduced classroom bullying as measured by disciplinary referrals.     

Regulatory mode preferences for autonomy supporting versus controlling instructional styles

Background Three studies carried out in educational settings examined determinants of teacher's instructional styles and students' degree of satisfaction with the learning climates created by such styles. Aims Based upon regulatory mode theory, Studies 1 and 2 tested the hypotheses that teachers' locomotion orientation will be positively related, and their assessment orientation will be negatively related, to autonomy supportive (vs. controlling) instructional styles. Study 3 tested the hypothesis that students' regulatory mode will exhibit a fit effect with the prevalent learning climate in their school. Samples Participants for Study 1 were 378 teachers (278 females); for Study 2 were 96 teachers (65 females); and for Study 3 were 190 students (all males). Method Participants completed questionnaires that included measures of teaching styles (Studies 1 and 2), perceived learning climate and satisfaction (Study 3), and regulatory mode orientations (Studies 1 and 3). In Study 2 regulatory mode orientations were experimentally induced. Results Results confirmed that teachers' autonomy supportive versus controlling styles were positively related to their locomotion orientations and negatively related to their assessment orientation, and that students with a stronger locomotion (vs. assessment) orientation reported a higher level of satisfaction when the learning climate was perceived as autonomy supportive (vs. controlling). Conclusions The present studies show that teachers' preference for adopting an instructional style is influenced by their regulatory mode orientations, and that the effects of a learning climate on students' satisfaction are contingent on a fit between type of learning climate and students' regulatory mode orientations.     

High school students' perceptions of EFL teacher control orientations and their English academic achievement

Background. Theories distinguish between student‐initiated and teacher‐initiated regulation of students' learning activities, or between strong, shared, or loose teacher control during the completion of learning tasks. Empirical validations for such distinctions are scarce, however. Aim. The present study aimed at (a) investigating students' perceptions of control behaviours exhibited by their English teachers; and (b) exploring the contribution of different types of teacher control behaviours to students' cognitive outcomes (English Achievement). Sample. The sample comprised 732 English as a Foreign Language (EFL) students studying in three major fields of high school (Mathematics, Natural Science, and Humanities). The participants (16–17 years of age) were selected from third‐grade classes of 27 EFL teachers working in 25 high schools of 6 main different geographical regions in the Isfahan province, Iran. Method. To obtain a comprehensive picture of different control types exhibited by Iranian EFL teachers, the control subscales of the two existing questionnaires, i.e., the Questionnaire on Instructional Behaviours (QIB), adapted by Den Brok et al. (2004) and the Questionnaire on Lesson Activities (QLA) used by Den Brok (2001) were merged to form the Questionnaire of Teacher Control (QTC). The development of this Persian instrument involved several steps: translation and back translation by the researchers, one expert translator, and two EFL teachers; piloting; and a final administration of the questionnaire to the student sample. With respect to the second aim of the study, data regarding students' performances on the Standardized National English Achievement Tests were gathered from local educational offices and schools. Results and conclusion. Statistical analyses supported acceptable reliability and validity of the instrument. A main factor structure with three types of teacher control (strong/high, shared/mid, and loose/low) was found to underlie students' perceptions. The results of multi‐level analyses indicated that a relatively large amount of variance was explained by the control variables and student variables, and teacher control had a statistically significant effect on student outcomes. Students' English achievement was lowest when they felt control was their teachers' prerogative, higher when they themselves exerted their own control (low teacher control), and highest under shared (mid) control behaviours.     

Mapping Students' Perceptions of Interesting Class Lessons

Students' perspectives about their experiences as students are potentially valuable resources for teachers and researchers. In this study middle-school students were asked, ‘What are the features of interesting class lessons?’ Students' responses were allocated to categories of similar semantic meaning and representative statements were selected from each category. The students then sorted and ranked the representative statements, generating numerical data suitable for cluster anal-ysis and multidimensional scaling. The cluster analysis generated three main clusters: (a) teachers, (b) individual learning, and (c) social learning. Each main cluster contained smaller clusters that indicated students' concern with issues such as the personal qualities of teachers and self-efficacy. The multidimensional scaling analysis generated a perceptual map that was interpreted to contain two dimensions: (d) student-teacher and (e) individual-social learning. The structure of the perceptual map stimulates questions about the connections that students might make between students' learning and teachers' teaching strategies, as well as students' understandings about the learning opportunities provided by social learning activities.     

Teachers' task demands,students' test expectations,and actual test content

Background: Previous studies on instructional importance show that individual students and their teachers differ in the topics that they consider important in the context of an upcoming teacher‐made test. Aims: This study aimed to examine whether such differences between students' test expectations and teachers' intended task demands can be explained by the actual test content. Samples: Participants were history teachers (N=19) and their 11th‐grade students (N=388). Method: Teachers and students rated the importance of text sections that would be tested in the near future. By means of multilevel analysis, ratings were compared with the occurrence of sections in the tests. Results: Although teachers considered a majority of sections as important and tested only a minority of the sections, their tests still included sections rated as unimportant. The number of such discrepancies, however, was relatively small. Sections the teachers rated important had a much higher probability of being included in the test than sections rated unimportant. For students, a similar but lower degree of correspondence between ratings and test content was found. Interestingly, for sections that teachers considered important, students more often gave a higher rating when these sections appeared in the test than when they did not. The same holds for sections that teachers considered unimportant. Conclusions: For both teachers and students there is a limited correspondence between perceived task demands and test content. Furthermore, students' perceptions of task demands show a compensation for some of the differences between their teachers' intended task demands and the test demands.     

Rural High School Students' Perceptions of the Basic Values and Educational Philosophies of Significant Secondary School Role Models

This research investigated rural high school students' perceptions of two major secondary school role models' (teachers and popular peers) solutions to five ontological and axiological problem spheres. The Values Orientation Questionnaire (VOQ), an operationalization of F. Kluckhohn's theory of intra-cultural value variation, was completed each of three times during three months: initially for the self and then according to the way the respondent felt the models would respond. Achievement, an index of successful school encounters, was entered as the between-persons factor in a multivariate-model repeated-measures ANCOVA. Generally, the students believe that teachers and popular peers endorse that set of values that forms the foundation of progressive counseling and educational philosophies and practices and is, to a large extent, our middle-class system. Students perceive teachers as overendorsing (relative to self) those ontological choices that form the valuational basis of authoritarian counseling and educational theories. These seemingly contradictory teachers' attributions are discussed in terms of the teachers' roles and of institutional demands that often force teachers to model behaviors that neither they nor society deems desirable.     

Teachers' and students' verbal behaviours during cooperative and small‐group learning

Background. Teachers play a critical role in promoting interactions between students and engaging them in the learning process. This study builds on a study by Hertz‐Lazarowitz and Shachar (1990) who found that during cooperative learning teachers' verbal behaviours were more helpful to and encouraging of their students' efforts while during whole‐class instruction, their verbal behaviours tended to be more authoritarian, rigid, and impersonal. Aim. This study seeks to determine if teachers who implement cooperative learning engage in more facilitative learning interactions with their students than teachers who implement group work only. The study also seeks to determine if students in the cooperative groups model their teachers' behaviours and engage in more positive helping interactions with each other than their peers in the group work groups. Samples. The study involved 26 teachers and 303 students in Grades 8 to10 from 4 large high schools in Brisbane, Australia. Methods. All teachers agreed to establish cooperative, small‐group activities in their classrooms for a unit of work (4 to 6 weeks) once a term for 3 school terms. The teachers were audiotaped twice during these lessons and samples of the students' language, as they worked in their groups, were also collected at the same time. Results. The results show that teachers who implement cooperative learning in their classrooms engage in more mediated‐learning interactions and make fewer disciplinary comments than teachers who implement group work only. Furthermore, the students model many of these interactions in their groups. Conclusions. The study shows that when teachers implement cooperative learning, their verbal behaviour is affected by the organizational structure of the classroom.     

Teachers' emotional experiences in response to daily events with individual students varying in perceived past disruptive behavior

Students' disruptive behavior during classroom events can elicit strong emotions in teachers and impact teachers' occupational wellbeing. This research was the first to test the proposition that teachers' emotional responses depend not solely on the specific classroom events themselves, but also on the perceived history of disruptive behavior of the student involved. Two complimentary studies examined whether teachers' perceptions of students' past disruptive behavior moderated the link between teachers' valence appraisals (i.e., how positive or negative an event was) and emotions in response to the event (i.e., enjoyment, anger, anxiety, self-, and other-related emotions). It was expected that teachers would be more emotionally reactive to events involving students whom they perceived as more disruptive in the past. Study 1 (N = 218 teachers) examined one teacher-selected relevant event of a workday with an individual student. Study 2 (N = 37 teachers) examined multiple events collected through daily diaries across the school year regarding two target students (N = 77) varying in perceived disruptive behavior. Both studies showed that teachers reacted more emotionally negative to students they perceived as more disruptive in the past compared to similarly appraised events with students perceived as less disruptive. Findings were most consistent for teachers' anger. In addition, Study 1 examined whether teachers' event-related emotions were related to their occupational wellbeing that workday. Teachers' anger was the only emotion associated with both teachers' emotional exhaustion and dedication. Intervention efforts to increase teachers' occupational wellbeing may profit from focusing on specific anger-evoking teacher-student dyads and try changing teachers' underlying judgments and associated emotions about disruptive students.     

Expecting the best for students: Teacher expectations and academic outcomes

Background. Research into teacher expectations has shown that these have an effect on student achievement. Some researchers have explored the impact of various student characteristics on teachers' expectations. One attribute of interest is ethnicity. Aims. This study aimed to explore differences in teachers' expectations and judgments of student reading performance for Maori, Pacific Island, Asian and New Zealand European students. A further objective was to compare teacher expectations and judgments with actual student achievement. Sample. The participants were 540 students of 21 primary teachers in Auckland schools. Of these students, 261 were New Zealand European, 88 were Maori, 97 were Pacific Island and 94 were Asian. Methods. At the beginning of the year, the teachers completed a survey related to their expectations for their students' achievement in reading and, at the end of the year, they judged the reading levels their students had actually achieved. The survey data were compared with running record data. Results. Teachers' expectations for students in reading were significantly higher than actual achievement for all ethnic groups other than Maori. Maori students' achievement was similar to that of the other groups at the beginning of the year but, by the end of the year, they had made the least gains of all groups. Conclusions. Sustaining expectation effects are one explanation for Maori students' limited progress. For Pacific Island, Asian and New Zealand European students, positive self‐fulfilling prophecies may be operating. Future research could investigate the learning opportunities provided to these ethnic groups and the relationship of these to teachers' expectations.     

Educational Intervention and the Development of Young Art Students' Talent and Creativity

This study focuses on behavior associated with young art students' developing artistic talent (skills and art‐making behavior) and creativity (personal expressions of visual information). The study examines the role of personal expertise in a student's development of problem finding, domain‐specific technical skill, perseverance, evaluation, and creative ideation. The study compares 30 experienced art students' artistic processing and products with those of 29 novice art students. Both groups are 7‐ through 11‐year‐olds. The author recorded participants' behavior as they created drawings in two contexts — from imagination and from life — and three adult artists then assessed the technical skill and creativity revealed in the drawings. Multivariate analyses of the variables associated with the drawing products and processes offer evidence of the changes related to the students' developing expertise in both novice and experienced groups. This study finds that the drawing situation (life or imagination) interacts clearly with the relationships among hypothesized components of creativity, gender, and predictors of expertise. Technical skill, perseverance, modifications, and creativity in drawings from life were significant predictors of expertise. Modifications, efficient problem finding, and creativity in drawings from imagination were additional significant predictors of expertise. Gender was found to be a measurable factor in both the artistic process and the assessments of drawings from imagination. The findings are discussed within the context of three conceptions: artistic talent, developing creativity, and art education.     

The temporal stability and predictive validity of pupils' causal attributions for difficult classroom behaviour

Background. Recent studies have investigated the causal attributions for difficult pupil behaviour made by teachers, pupils, and parents but none have investigated the temporal stability or predictive validity of these attributions. Aims. This study examines the causal attributions made for difficult classroom behaviour by students on two occasions 30 months apart. The longitudinal stability of these attributions is considered as is the predictive validity of the first set of attributions in relation to teachers' later judgments about individual students' behaviour. Sample. Two hundred and seventeen secondary school age pupils (114 males, 103 females) provided data on the two occasions. Teachers also rated each student's behaviour at the two times. Method. A questionnaire listing 63 possible causes of classroom misbehaviour was delivered to pupils firstly when they were in Year 7 (aged 11–12) and then again, 30 months later. Responses were analysed through exploratory factor analysis (EFA). Additionally, teachers were asked to rate the standard of behaviour of each of the students on the two occasions. Results. EFA of the Years 7 and 10 data indicated that pupils' attributions yielded broadly similar five‐factor models with the perceived relative importance of these factors remaining the same. Analysis also revealed a predictive relationship between pupils' attributions regarding the factor named culture of misbehaviour in Year 7, and teachers' judgments of their standard of behaviour in Year 10. Conclusion. The present study suggests that young adolescents' causal attributions for difficult classroom behaviour remain stable over time and are predictive of teachers' later judgments about their behaviour.