A multiple case study of teachers referring to their own religious beliefs in mathematics teaching

There is a need to integrate religious education and spiritual education across school curriculum. This paper reports one of the few empirical studies on bridging the intention-practice gap in classrooms. Six school teachers deliberately designed and implemented mathematics lessons which referred to their own religious beliefs in teaching. It unfolds teachers’ intention to enact their religious beliefs in mathematics classroom teaching. Different modes were identified. Implications to religious education in schools are offered.     

The Teacher Belief Q-Sort: A measure of teachers' priorities in relation to disciplinary practices, teaching practices, and beliefs about children

The present study advances a new method for assessing teacher beliefs and priorities. This paper describes the development and psychometric properties of the Teacher Belief Q-Sort (TBQ), an assessment technique that examines teachers' priorities and beliefs about discipline practices, classroom practices, and beliefs about children (see www.socialdevelopmentlab.org. Further, this paper describes the usefulness of this tool by examining differences in beliefs and priorities among four groups of teachers (experienced teachers trained in the Responsive Classroom (RC) Approach, experienced teachers with no such training, pre-service teachers planning on teaching elementary school, and pre-service teachers planning on teaching middle/high school) with the goal of demonstrating the way priorities are sensitive to specialized training and teaching experience. The study establishes the TBQ as a reliable, valid, and useful method. Findings showed that RC teachers hold discipline and teaching practice priorities consistent with training in the RC Approach and that pre-service teachers placed greater priority on spontaneity and collaboration and held more negative views about children's likeability and motivation than in-service teachers. Findings are discussed in terms of the ways in which teacher priorities are sensitive to specialized training and teaching experience and offer an early indicator of integrity of implementation.     

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.     

Secondary school teachers' attitudes towards and beliefs about ability grouping

Background: Internationally and historically considerable research has been undertaken regarding the attitudes of secondary school teachers towards different types of ability grouping. There has been no recent research taking account of the changing educational context in the UK. Aims: This paper aims to explore secondary school teachers' attitudes and beliefs about ability grouping taking account of school type, gender, experience and qualifications. Sample: The sample comprised over 1,500 teachers from 45 schools divided into three groups based on their ability grouping practices in years 7‐9 (the students were aged 11‐14). The sample included all the lower school teachers of mathematics, science and English and a random sample of teachers from other subjects in each school. Methods: Teachers responded to a questionnaire which explored their attitudes towards ability grouping through the use of rating scales and open‐ended questions. Results: The findings showed that the teachers' beliefs broadly reflected research findings on the actual effects of ability grouping, although there were significant differences relating to the type of school they taught in and the subject that they taught. Separate analysis of school types showed that length of time teaching, individual school differences and teacher qualifications were also significant predictors of attitudes. Conclusions: Teachers' beliefs about ability grouping are influenced by the type of groupings adopted in the school where they work, the subject that they teach, their experience and qualifications. As pedagogical practices are known to be influenced by beliefs these findings have important implications for teacher training.     

The Nctm Standards and the Philosophy of Mathematics

It is argued that the philosophical and epistemological beliefs about the nature of mathematics have a significant influence on the way mathematics is taught at school. In this paper, the philosophy of mathematics of the NCTM's Standards is investigated by examining is explicit assumptions regarding the teaching and learning of school mathematics. The main conceptual tool used for this purpose is the model of two dichotomous philosophies of mathematics-absolutist versus- fallibilist and their relation to mathematics pedagogy. The main conclusion is that a fallibilist view of mathematics is assumed in the Standards and that most of its pedagogical assumptions and approaches are based on this philosophy.     

Do teachers’ cultural beliefs matter for students’ school adaptation? A multilevel analysis of students’ academic achievement and psychological school adjustment

Based on two large-scale studies from Germany, we examined how different types of teachers’ cultural beliefs are related to immigrant students’ school adaptation. Specifically, we investigated the relationship of teachers' multicultural beliefs appreciating cultural diversity, their egalitarian beliefs focusing on all students' similarities and their assimilationist beliefs that immigrant students should conform to the mainstream context with immigrant students' academic achievement and psychological school adjustment as indicators of their school adaptation. We also explored all of these associations for non-immigrant students. Study 1 used data on the multicultural, egalitarian, and assimilationist beliefs of German language (N_Teachers?=?220) and mathematics (N_Teachers?=?245) teachers and on students’ achievement and feelings of helplessness in German language classes (N_Students?=?2606) and mathematics classes (N_Students?=?2851) as well as students’ school satisfaction. Study 2 analyzed data on teachers’ multicultural and egalitarian beliefs (N_Teachers?=?456) and students’ achievement and self-concept in mathematics (N_Students?=?4722). Overall, multilevel analyses revealed no relationship between teachers’ cultural beliefs and any of the indicators of immigrant and non-immigrant students’ school adaptation. These findings challenge the notion that overall, teachers’ cultural beliefs effectively translate into students’ school adaptation.

     

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.     

From teachers’ implicit theories of intelligence to job stress: The mediating role of teachers’ causal attribution of students’ academic achievement

To better understand the cognitive antecedents of teachers’ stress in the school setting, the effects of teachers’ beliefs regarding intelligence and their causal attributions of students’ academic performance on teachers’ job stress were examined in the current study. We recruited 271 teachers who voluntarily filled out an anonymous questionnaire. Findings demonstrated that teachers who endorsed the entity theory of intelligence tended to attribute students’ poor performance to students’ inability but not lack of effort. Results showed a positive relationship between teachers’ fixed view of intelligence and job stress, and this relationship was mediated by teachers’ attributing students’ poor performance to students’ lack of ability, even after controlling for teacher efficacy. We suggest to promote the psychological health of teachers by incorporating intelligence mindset and attribution training programs in preservice teacher education, professional development, and cognitive behavioral stress intervention for in-service teachers.     

Teacher efficacy and pupil behaviour: The structure of teachers’ individual and collective beliefs and their relationship with numbers of pupils excluded from school

Background. Previous work has yielded knowledge of teachers’ attributions for children's behaviour. Other studies have helped to develop understanding of teachers’ efficacy beliefs. Little work has been undertaken to examine teachers’ efficacy beliefs with regard to classroom behaviour. Aims. This study aimed to investigate the relationship between teachers’ individual and collective beliefs about their efficacy with children's behaviour and whether these beliefs were associated with the use of exclusion as a sanction. Sample. A total of 197 teachers from 31 primary and nursery schools in the North East of England participated. Methods. Participants responded to questionnaires to assess their individual and collective efficacy beliefs. Demographic and school level data were also collected. Results. Factor analysis indicated that teachers’ individual efficacy beliefs were best represented by three factors: ‘Classroom Management’, ‘Children's Engagement’, ‘Instructional Strategies’ that corresponded well to previous findings. Analysis of collective efficacy beliefs showed a similar structure that differed from previous findings. Individual efficacy was not associated with numbers of children excluded. One factor ‘Addressing External Influences’ in the collective beliefs was negatively correlated with numbers of children excluded and appeared to mitigate the deleterious effects associated with socio-economic deprivation. Conclusions. This study adds weight to the importance of understanding and supporting teachers’ beliefs in their collective efficacy. In particular, this study underlines the need for strategies that will endorse and develop teachers’ beliefs in their ability to manage children's behaviour successfully.     

IMPACT OF THE IMPLEMENTATION OF THE TEACHING/LEARNING CYCLE ON TEACHER DECISION-MAKING AND EMERGENT READERS

No topic is on the minds of the general public, federal and state legislatures, parents, and educators more than the issue of establishing and maintaining school programs that are consistent in their ability to produce competent readers. Teachers, administrators, and teacher preparation programs are admonished to change programs, resources, monitoring procedures - whatever it takes to bring about this reformation of student reading achievement. Topics under investigation include effective models, methods, and strategies of instruction; essential teacher knowledge; teacher decision-making; and professional development of in-service and pre-service teachers. From this body of research the terms "balanced literacy" and "engaged literacy" have emerged. These terms are defined as emphasizing instruction on identified student need and including skills development as well as experience in a variety of texts. The teaching/learning cycle, a model for evaluating student reading behaviors and planning focused instruction, providesa foundation for the development of essential teacher knowledge and skills. As teachers articulate their understanding of the reading process, the characteristics of the learner, and the supports and challenges offered in text and teaching approaches, their practice is changed to make it more congruent with these stated beliefs. When teacher instructional practice is aligned with clear understandings and beliefs, student achievement increases. This study explored how knowledge and use of the teaching/learning cycle in beginning reading instruction impacts teacher decision-making and student achievement. While investigating teachers' knowledge and use of the teaching/learning cycle, two research questions focused on how student learning was affected and the impact of the changes on student/teacher interactions.     

The Effectiveness of a REBT Training Program in Increasing the Performance of High School Students in Mathematics

The efficacy of an REBT-based skill training program on the mathematics performance of disadvantaged black eleventh graders enrolled in Upward Bound was examined. Fifty-six students (18 males and 37 females) were randomly assigned to Perception Analysis Training (PAT) or an attention control group (ACG). The two groups met at the same hour each week for eight-weeks. PAT consisted of instruction in the application of RET strategies to the management of emotions that interfere with the development of proficiency in mathematics. ACG group members discussed films pertaining to career and personal development. Pre-test results confirmed a relationship between beliefs and mathematics achievement. Three measures of problematic beliefs concerning mathematics were significantly correlated (p>.01) with high school math grades and performance on the California Achievement Test-Math (CAT). At post-test PAT participants were less committed to self-defeating beliefs regarding mathematics than AGC members. ANCOVAs showed that PAT students made significantly greater pre- to post-test gains in their mathematical performance than control group members. PAT group members out performed AGC subjects in terms of Upward Bound math grades (ES=0.61; p >.0008), high school math grades (ES = 1.09; p>.0001), and scores on the CAT (ES=0.40; p >.02).     

A mathematics content course and teaching efficacy beliefs of undergraduate majors in education

This study was designed to assess the mathematics teaching efficacy beliefs of undergraduates in elementary education through a manipulative-based course in mathematics. Responses of 106 university undergraduates to the 21-item Mathematics Teaching Efficacy Beliefs administered as pre- and posttest without a control group showed a significant immediate postcourse change in their efficacy beliefs using dependent t test.     

Teachers' self-efficacy beliefs as determinants of job satisfaction and students' academic achievement: A study at the school level

Teachers' self-efficacy beliefs were examined as determinants of their job satisfaction and students' academic achievement. Over 2000 teachers in 75 Italian junior high schools were administered self-report questionnaires to assess self-efficacy beliefs and their job satisfaction Students' average final grades at the end of junior high school were collected in two subsequent scholastic years. Structural equation modeling analyses corroborated a conceptual model in which teachers' personal efficacy beliefs affected their job satisfaction and students' academic achievement, controlling for previous levels of achievement.     

Effects of a REBT Based Training on Children and Teachers in Primary School

Rational Emotive Education (REE) is a psychological educational program offering a preventative psycho-educational curriculum to children in order to teach them emotional literacy skills. REE helps children by teaching them to challenge irrational thinking, to minimize their reactions to disappointment and frustrations, to cope more effectively with problems, and to more fully accept themselves. The efficacy of REE training for children and teachers was examined in a sample of 211 third grade students from nine different classes and 26 teachers. Each class was randomly assigned to one of three different groups, two experimental groups and a control group, each receiving different training. First objective of our study was to evaluate the efficacy of a REE training based on storytelling in changing children’s irrational beliefs. Second objective of our study was to observe the efficacy of a teachers’ training similar to that applied in REBT-focused school consultation groups in enhancing their self-efficacy. Results show an improved tendency in children to think rationally and an enhanced perception of self-efficacy in teachers for those groups that underwent the training compared to the control group. Our results suggest that REBT based trainings for children and teachers should be integrated into the classroom curriculum in order to prevent mental health problems and encourage positive social and emotional well-being.     

Mathematics beliefs and instructional strategies in achievement of elementary-school students in Japan: results from the TIMSS 2003 assessment

Recent findings concerning mathematics assessment indicate that students in Japan consistently score above international averages. Researchers have examined specific mathematics beliefs and instructional strategies associated with mathematics achievement for students in Japan. This study examined relationships among self-beliefs, classroom instructional strategies, and mathematics achievement for a large national sample of students (N=4,207) from the TIMSS 2003 international sample of fourth graders in Japan. Several significant relationships between mathematics beliefs and test scores were found; a number of classroom teaching strategies were also significantly associated with test scores. However, multiple regression using the complete set of five mathematics beliefs and five instructional strategies explained only 25.1% of the variance in mathematics achievement test scores.     

Parents' and teachers' perceptions of adolescent storm and stress: relations with parenting and teaching styles

The purpose of this study was to determine if parents and teachers differed in their views of adolescent storm and stress, and to examine the relations of these reported perceptions with parenting and teaching behaviors. Subjects were parents and teachers of middle and high school students in three school districts in the Midwest. Storm and stress beliefs were identified as parents' and teachers' perceptions of conflict, moodiness, and risk-taking behavior. Scales assessing classic/conforming and positive adolescent behaviors also were included. Self-report assessments of parenting and teaching were administered as well. Results indicated that whereas both parents and teachers held storm and stress beliefs, teachers maintained stronger perceptions than parents. Teachers also endorsed higher classic/conforming and lower positive behaviors than did parents. The results further indicated that parents' perceptions of storm and stress were related to their degree of parental responsiveness; but teachers' perceptions were not related to their teaching style. These results suggest that stereotypic beliefs of the adolescent period continue to be maintained, and that these may influence how adults interact with adolescents.     

Minority teachers become minority counselors

A high school district has developed an in-service counselor education program for minority teachers to help meet its need for more counselors who, by virtue of skin color, language, or inner city origins, have advantages in relating to minority students. One major component of the program is an in-service counseling practicum in which the teachers are supervised while they work with inner city students.     

Understanding own teaching: becoming reflective teachers through reflective journals

Reflective journal facilitates teachers to reflect on their teaching and then generate feedback for the improvement of their classroom practices. This study examined how in-service English teachers in a MA Linguistics program at a US Mid-Western University perceived the influence of reflective journals toward their teaching attitudes. At the time of the research, participants were 25 years of age or older. The findings generated from interviews indicated that most participants were convinced that reflective journals help them become reflective teachers. It also found that most in-service teachers regard reflective journals as an effective tool to increase teaching awareness, and thus improve their performance during teaching.     

Classroom Interactions: Gender of Teacher,Gender of Student,and Classroom Subject

An observational study investigated the effects of gender of teacher, gender of student, and classroom subject (mathematics vs. English literature/language) on teacher–student interactions. A total of 597 high school students (294 males and 303 females) and 36 teachers (28 males and 8 females) were observed in either 18 mathematics classes or 18 literature/language classes. Students and teachers were predominately Caucasian, with the majority of students from a lower- or middle-class background. Observations were coded using the interactions for sex equity in classroom teaching (INTERSECT) observational instrument. It was found that female mathematics teachers, male literature/language teachers, and female literature/language teachers tended to interact somewhat more with male students than with female students. This tendency was not the result of male students having initiated more direct verbal interactions with teachers.     

Teaching strategies in mathematics for children in the normal classrooms: A qualitative analysis

The teaching strategies teachers use in the classroom and in teaching the children with learning problems, with special reference to mathematics instruction and the criteria for identifying children with learning problems were explored. For this purpose a sample of 12 schools in Mumbai was used. Ten children from Grade IV were identified from each school, five with learning problems (teacher identified) and five without problems (randomly selected from the attendance register). Observations through videotaping the teacher’s interactions with children especially with those the teacher identified as having learning problems were done. The learning problems were also checked with the help of Behavioral Checklist for Screening Learning Disabilities and Diagnostic Test for Learning Disabilities and interview of teachers. Results indicated that that both the tests as well as teachers emerged as fair predictors of the problem. The implications of the findings for teacher training needs with reference to handling learning problems in the classroom have been drawn.