Measuring student teachers’ practices and beliefs about teaching mathematics using the Rasch model

Several attempts have been made to measure and categorize beliefs and practices of mathematics teachers [Swan, M. 2006. “Designing and Using Research Instruments to Describe the Beliefs and Practices of Mathematics Teachers”. Research in Education 75 (1): 58–70]. One of the reasons for measuring both beliefs and practices is to characterize teachers in terms of the relationship between their beliefs and practices. However, the practice-instruments and the beliefs-instruments discussed in the literature are predominately based on differing constructs. Consequently, it is challenging to compare the relationship between beliefs and practices solely based on these instruments. As such, we argue that practice- and beliefs-instruments based on the same construct would be desirable when both beliefs and practices are at stake. This paper presents two Rasch-calibrated instruments that measure the level of teacher-centredness with respect to student teachers’ practices and beliefs about teaching mathematics. From a sample of 160 student teachers, 15 items have been established as being beneficial for measurement, both when the items are translated as practice items and when translated as beliefs items. By studying the invariance between both translations, we conclude that measures from both instruments can be directly compared.     

Irish student teachers’ beliefs about self,learning and teaching: a longitudinal study

This paper explores the beliefs about self-as-teacher, learning and teaching of preservice elementary teachers during a three-year undergraduate programme. Using a qualitative grounded theory analysis, the study examined the initial beliefs or personal theories of 27 preservice teachers during their first Semester. Longitudinal data were gathered from 7 of these students over the three-year duration of their teacher education programme through iterative interviews and reflective journal analysis. The findings demonstrate expansion in preservice teachers’ understandings of the teacher’s role, the value of reflective practice, the differential needs of learners and approaches to pedagogy. Findings point to lacunae in preservice teachers’ capacity for critical reflective practice and demonstrate how classroom management concerns can cause preservice teachers to adopt more cautious and traditional pedagogical approaches, despite their espoused commitment to child-centred principles.     

Pre-service teachers’ beliefs and knowledge about multiculturalism

The present study examined pre-service teachers’ knowledge of issues related to multiculturalism and diversity before and after taking a multicultural education course. Data from 38 degree students in an urban university in the southwest of Finland were analysed using a mixed method approach. The results indicate that pre-service teachers’ knowledge levels increased with respect to diversity and multicultural education after taking the course. In addition, pre-service teachers felt more competent and prepared to teach students with diverse backgrounds after the exposure. The implications of the findings for teacher education programmes and teacher educators are discussed.     

Measuring student teachers’ understandings and self-awareness of sustainability

Understanding sustainability is important, as people need to cope with issues associated with over-population and over-consumption. Education is seen as a key strategy to assist with the development of people’s understandings of this complex concept, which could then lead to them being able to make more sustainable lifestyle decisions. In order to teach this concept, teachers need to understand sustainability. This paper investigated 77 New Zealand student teachers’ understandings of sustainability and the level of self-awareness of their understandings. A definition of sustainability was developed for this research from which two tools were constructed to measure these teachers’ level of understanding and self-awareness. Findings showed that many of these student teachers had simplistic understandings of sustainability that were focused on an environmental component. Further evidence of their low level of understanding was illustrated in the way that over half of this group were not able to accurately rate their own level of understanding. These findings suggest a need for the development of teachers’ understandings of sustainability so that they can plan and teach effective sustainability education programmes.     

Measuring and exploring the structure of teachers’ educational beliefs

This study explores the structure of French teachers’ educational beliefs. First, instruments to measure these beliefs are adapted and developed. Data is collected through focus group discussions and an online survey (n = 302). Factor analyses reveal a three-factor structure to measure teachers’ general beliefs about teaching and learning: ‘beliefs about student regulation of learning processes and knowledge construction’, ‘beliefs about teacher regulation of learning processes’, and ‘beliefs about knowledge reproduction’. Furthermore, a two-factor structure to measure teachers’ subject-specific beliefs about French language teaching is found: ‘traditional beliefs about French language teaching’ and ‘constructivist beliefs about French language teaching’. Second, this study explores the relationships between and within teachers’ general beliefs about teaching and learning and their subject-specific beliefs about French language teaching. Results show two distinct and independent belief structures: a traditional and a constructivist belief structure. Via cluster analyses, two clusters of teachers are found whose beliefs are consistent with these belief structures.     

Turkish elementary student teachers’ epistemological beliefs and moral reasoning

The purpose of the present study was to explore the relationships among Turkish elementary student teachers’ epistemological beliefs and moral reasoning, and to determine which types of epistemological beliefs elementary student teachers exhibit. The findings of the present study demonstrated that epistemological beliefs did not make a unique contribution to moral reasoning and student teachers’ epistemological beliefs developed as more or less independent beliefs. The factor analyses results suggest that multidimensional theory is more appropriate than unidimensional theory in explaining student teachers’ epistemological beliefs.     

Teachers’ self-efficacy beliefs for teaching math: Relations with teacher and student outcomes

Social cognitive theory posits that teacher self-efficacy beliefs should be related to not only their own well-being outcomes but also classroom processes and student outcomes in the general ecology of the classroom environment. However, little research has directly examined the associations of teachers’ self-efficacy beliefs with these teacher and student-level outcomes simultaneously. The present study proposes and tests an integrative model of the relations of teachers’ self-efficacy for teaching math with their job satisfaction and student math achievement both directly and indirectly via interaction quality as a critical dimension of the quality of classroom processes. Additionally, student level relational and motivational predictors of math achievement, including individual perceptions of student-teacher interaction quality and math self-concept, are included per the ecology of the classroom environment. Based on data from over 6000 4th grade students and 450 teachers, results of multilevel structural equation modeling revealed that teachers’ self-efficacy beliefs for teaching math were positively associated with teachers’ job satisfaction and class levles of math achievement and interaction quality. At the individual student level, individual levels of math self-concept were positively associated with math achievement, and individual perceptions of interaction quality were positively associated with math self-concept. However, a negative association between residualized interindividual perceptions of interaction quality and math achievement was observed.     

Early years teachers’ epistemic beliefs and beliefs about children’s moral learning

There is strong political and social interest in values education both internationally and across Australia. Investment in young children is recognised as important for the development of moral values for a cohesive society; however, little is known about early years teachers’ beliefs about moral values teaching and learning. The aim of the current study was to investigate the relationships between Australian early years teachers’ epistemic beliefs and their beliefs about children’s moral learning. Three hundred and seventy-nine teachers completed a survey about their personal epistemic beliefs and their beliefs about children’s moral learning. Results indicated that teachers with more sophisticated epistemic beliefs viewed children as capable of taking responsibility for their own moral learning. Conversely, teachers who held more naïve or simplistic personal epistemic beliefs agreed that children need to learn morals through learning the rules for behaviour. Results are discussed in terms of the implications for moral pedagogy in the classroom and teacher professional development. It is suggested that in conjunction with explicitly reflecting on epistemic beliefs, professional development may need to assist teachers to ascertain how their beliefs might relate to their moral pedagogies in order to make any adjustments.     

Exploring teachers’ beliefs and feelings about race and police violence

ABSTRACT

In this article, the authors analyzed White teachers’ open-ended responses to three critical items on the Teachers’ Race Talk Survey (TRTS). The authors focused on: (1) teachers’ beliefs about the importance of discussing race in the classroom with their students; (2) teachers’ feelings of preparedness to have race conversations in the classroom with their students; and (3) teachers’ beliefs about discussing, in class, police violence against Black people. Findings showed that while most White teachers believed race was important to discuss in order to unlearn and disrupt their prior beliefs, the majority described fear as a primary factor for feeling unprepared to actually discuss race in the classroom. Despite their beliefs about the importance of race, teachers’ beliefs about police violence against Black bodies reflect a color-blind approach by either viewing police violence as a natural occurrence or minimizing the role that race plays. To continue developing teachers’ critical knowledge related to race, the authors discuss implications for examining the quality of race-centered curriculum in teacher education programs and they pose broader questions related to the evolving knowledge base for teaching.     

Enhancing student teachers’ epistemological beliefs about models and conceptual understanding through a model-based inquiry process

In this study we present the structure and implementation of a model-based inquiry teaching–learning sequence (TLS) integrating expressive, experimental and exploratory modelling pedagogies in a cyclic manner, with the aim of enhancing primary education student teachers’ epistemological beliefs about the aspects, nature, purpose and change of models as well as their conceptual understanding of light phenomena related to properties of optical fibres. The subjects were 16 prospective primary teachers involved in modelling activities, employing both hands-on experiments and computer modelling activities, based on the application of the ray model. Student teachers were tested before and after the implementation of the TLS by semi-structured interviews and a written questionnaire. Results show that before the TLS most students adopted epistemologically naïve realistic beliefs about models, whereas after the TLS there was an overall significant transition from naïve to more sophisticated epistemological beliefs, as well as significant improvements in their conceptual knowledge about light phenomena. Nevertheless, the relation between epistemological beliefs and conceptual understanding seems to be aspect-dependent, so our evidence suggests that more educational effort is required in order to establish a coherent relationship between them.     

Pre-service teachers’ science beliefs,attitudes, and self-efficacy: a multi-case study

The aim of this multi-case study was to explore the extent and nature of changes in elementary pre-service teachers’ beliefs, attitudes, and self-efficacy toward science and science teaching as a result of participating in a science methods course. The study specifically focused on three groups of pre-service teachers based on their varying beliefs, attitudes, and self-efficacy prior to the course. The study examined factors that may have contributed to changes in these domains as well as interrelationships among the three constructs.     

Comparing children's and student teachers’ ideas about science concepts

Children and teachers may not think in the same way about particular science concepts. Such parallel lines of thought can compound children's confusion and misunderstanding as they learn science at primary school. The situation could be more acute when student teachers are teaching science, because of their limited experience of considering children's ideas. This paper investigates children's and student teachers’ ideas about certain science concepts: ‘animal’, ‘flower’, ‘living’, ‘force’ and ‘energy’. The ideas and understandings of 96 children and 168 student teachers were explored. Results showed that the student teachers and children had similar ideas about ‘flower’ and ‘animal’, whereas they evidenced very different responses to ‘living’, ‘energy’ and ‘force’. Implications for classroom practice are considered.     

Measuring teachers’ perceptions about differentiated instruction: The DI-Quest instrument and model

Within a democratic and multicultural society, diversity is a reality, and differences between students are a fact which teachers have to deal with on a daily basis. Differentiated instruction aims to meet these differences in learning in order to provide all students with the best possible learning opportunities. However, to date no validated instruments exist to measure teachers’ perceptions of differentiated instruction and their related classroom practices. This study, therefore, examined the factor structure and reliability of the Differentiated Instruction Questionnaire, called the DI-Quest instrument. A list of 87 items was constructed, building on existing prevalent theoretical models of Differentiated Instruction (e.g. Tomlinson, 2014; Hall, 2002). An exploratory and confirmatory factor analysis was undertaken to investigate the factor structure of the questionnaire. As a result, five factors emerged: two factors related to the teachers’ philosophy of differentiated instruction (the teachers’ mindset and their ethical compass), two factors referred to the practical principles that teachers apply to differentiate (flexible grouping and output = input) and the last factor (differentiated instruction) covered the self-reported extent to which teachers differentiated their instruction related to three types of differences in learning (students’ interests, readiness and learning profile). As a result, the DI-Quest instrument entailed 31 items with a five-factor structure indicating a good fit (CFI = 0.919; TLI = 0.911; RMSEA = 0.041 [0.037–0.044 – 90% confidence interval, p(0.05) = 1.000]; SRMR = 0.048; χ² = 5888.338, df = 465, p = 0.000). In addition, assuming theoretical relatedness between the factors, the validation of a DI-Quest model was empirically validated. We compared the model fit for two models by investigating which model had a lower BIC and AIC value and by comparing their chi square values. The best-fitting DI-Quest model showed four factors (teachers’ mindset, ethical compass, flexible grouping and output = input as dependent variables) functioning as significant predictors of the fifth factor (the self-reported adoption of Differentiated Instruction, which served as an independent variable). Moreover, this paper also discusses the psychometric properties of the DI-Quest instrument and the implications of the model for schools, educators and researchers.     

Elementary teachers’ beliefs about multicultural education practices

As the diversity of American schools is increasing, teachers should understand the role culture plays in the classroom and employ teaching practices that accommodate students from diverse cultural backgrounds. However, while more is known about pre-service teachers’ beliefs about multicultural education, less is known about what practices in-service teachers endorse and what factors influence those beliefs about practices. Specifically, the aims of the study were to determine (a) how teachers define culture, (b) what multicultural practices they endorse, and (c) what school-level factors (i.e. racial/ethnic demographics of the school) and teacher-level factors (i.e. multicultural professional development/coursework, grade level taught, comfort level facilitating multicultural discussions, and definitions of culture) are associated with teachers’ endorsement of multicultural practices. A sample of 45 elementary teachers (grades kindergarten to fifth) in three elementary schools completed a custom-developed survey. Findings indicated that teachers defined culture broadly with infrequent mention of specific identities and did not show strong endorsement of recommended multicultural practices. Teachers’ definitions of culture and their school of employment were associated with teachers’ beliefs about practices. Directions for future and implications for targeted professional development will be discussed.     

I like Facebook: Exploring Israeli high school chemistry teachers’ TPACK and self-efficacy beliefs

The goal of this research was to examine how Israeli chemistry teachers at high school level use Facebook groups to facilitate learning. Two perspectives were used: Teachers’ TPACK (Technological Pedagogical Content Knowledge) and the self-efficacy beliefs of chemistry teachers for using CLFG (chemistry learning Facebook groups). Three different case studies were chosen and qualitative and quantitative research tools were used to learn about the teachers’ self-efficacy beliefs and knowledge. More specifically, a validated questionnaire for measuring teachers’ self-efficacy beliefs for using Facebook and for integrating Facebook into teaching was developed. We show that the initial beliefs (not based on a real acquaintance of Facebook) were replaced by more realistic efficacy-beliefs after the teachers started to work with the CLFG and that the technological support provided to each teacher, together with their mastery experience, supported the development of strong self-efficacy beliefs regarding the use of CLFG. Teachers’ TPACK was investigated by analyzing their interviews and the interactions in their CLFG. We found that the notion regarding what constitutes learning in the CLFG had not changed during the experiment but rather, the teachers knew better how they can facilitate this leaning. In addition they better integrated links to videos and visualizations that supported understanding abstract chemistry concepts. Interestingly, the intervention that was conducted did not influence teachers’ perceptions of learning; however, it was found to serve as an additional tool for supporting their self-efficacy beliefs by providing vicarious experience for the teachers. We therefore recommend performing a longer intervention in the future.     

Becoming a teacher: student teachers’ experiences and perceptions about teaching practice

In an attempt to build a more comprehensive and holistic understanding of the complexity, dynamics and idiosyncrasies involved in becoming a teacher, this study focussed on the experiences of 295 student teachers. Their feelings, cognitions and perceptions regarding teaching practice were analysed using the short version of the Inventory of Experiences and Perceptions of the Teaching Practice. Results emphasise some of the difficulties experienced during this period (e.g., stress, sense of weariness and ‘vulnerability’), as well the positive perceptions of these student teachers regarding their growing knowledge and skilfulness, as well as their sense of efficacy, flexibility and spontaneity in their performance and interactions. Their perception of their accomplishments in achieving reasonable levels of acceptance and recognition within the school community and their positive evaluation of the guidance and support provided by their supervisors are also emphasised. Differences were found – in terms of gender and graduate course background – in the way these student teachers experienced some aspects of teaching practice.     

Greek-Cypriot elementary teachers’ epistemological beliefs about mathematics

Drawing on data from the Republic of Cyprus, this paper uncovers elementary teachers' epistemological beliefs about mathematics. Twenty-two experienced teachers were invited to individual semi-structured interviews. Thematic data-driven analyses identified three themes and eight sub-themes, which I discuss, taking their socio-cultural context into consideration. This study suggests that applying predetermined frameworks directly taken from the literature when examining teachers’ epistemological beliefs in mathematics can be problematic, as they might hinder other culturally specific beliefs from emerging. In closing, this paper presents some implications for the results on teacher education and professional development, as well as ideas for future research.     

The development of student teachers’ research knowledge,beliefs and attitude

This study reports on the development of second-year student teachers’ knowledge of research, and the changes in their beliefs and attitude regarding research during an introductory course at an institute for primary teacher education. Questionnaires and concept maps were administered before and after the course. The results showed that student teachers’ knowledge about research grew during the introductory course and that their positive beliefs about research became more positive, while their negative beliefs about research decreased. A positive change was found concerning the attractiveness of research to student teachers. Furthermore, student teachers’ self-efficacy regarding research appeared related to their beliefs and attitude: the more the student teachers were convinced of their abilities to conduct and use the results of research after the course, the more positive their beliefs and their attitude regarding research were. This study provides guidelines for institutes for teacher education on integrating research activities into their curricula, so that their student teachers develop research knowledge and positive beliefs and attitudes towards research.     

The effect of student teaching experience and teacher beliefs on pre-service teachers’ self-efficacy and intention to use technology in teaching

The student teaching experience has been considered important in establishing pre-service teachers’ beliefs and attitudes towards their teaching. However, few studies have investigated the effect of student teaching experiences as an educational intervention for increasing technology integration – especially pre-service teachers’ pedagogical beliefs as an internal barrier to technology integration. Thus, this study examined how technology-centred student teaching experiences differently affect pre-service teachers with different teaching beliefs with regard to self-efficacy and intention to use technology. Participants were 55 pre-service teachers in a student teaching practicum. The findings revealed that technology-centred student teaching experiences increased pre-service teachers’ self-efficacy regardless of their teacher beliefs. Additionally, pre-service teachers with traditional teacher beliefs had a low level of intention at the outset but significantly increased their intention after experiencing technology-centred student teaching; however, those with constructivist teacher beliefs showed no meaningful differences in their intention levels. Implications for teacher education and the limitations of this study are discussed.