Teachers’ Enactments of Workplace Conditions and Their Beliefs and Attitudes toward Reform

This study builds on two assumptions regarding agency in teachers' workplace learning. (1) While teachers enact school reform in daily school and classroom practice, they actively redefine the reform. (2) In this learning process, in which working and learning are integrated, teachers reinterpret and reinvent the workplace conditions in their school. These workplace conditions function as enabling and/or constraining environments for learning. Teachers' perception of workplace conditions in their schools and their definitions of and attitudes toward reform are regarded as more or less integrated results of and conditions for workplace learning. As such, they are expected to be related. The question in this article is if this relationship can be demonstrated. Data are collected in a comparative case study of 18 secondary school teachers in the context of the reform of students' active and self-directed learning. Results show that schools as learning environments are interpreted by teachers as complex and multidimensional, rather than dual ideal types. Teachers' definitions of and attitudes toward reform are related to their perceptions of workplace conditions in the predicted direction.     

Teachers’ Attitudes Towards Their Pupils’ Mathematical Errors

This article is mainly concerned with the didactical and the epistemological approach towards pupils’ errors in mathematics. The findings of an investigation into a representative sample of Cypriot teachers’ attitudes of errors in mathematics are presented. Although teachers draw on behaviourism as a way of understanding pupils’ errors, a considerable number of teachers seem to be influenced by both cognitive science error theory and the obstacle theory. Inferential statistical analysis revealed that teachers’ attitudes of errors are mainly associated with the attendance of a specialised INSET course in mathematics. Teachers who attended the INSET course in mathematics are generally more influenced by the cognitive science theory and the obstacle theory. Implications for the development of policy on teacher training are discussed. It is argued that with appropriate training teachers will be able to adopt a model of interpreting errors in mathematics based on the didactical and the epistemological approaches.     

Secondary School Teachers’ Knowledge and Attitudes Towards Renewable Energy Sources

Investigating knowledge, perceptions as well as attitudes of public that concern various aspects of environmental issues is of high importance for Environmental Education. An integrated understanding of these parameters can properly support the planning of Environmental Education curriculum and relevant educational materials. In this survey we investigated knowledge and attitudes of secondary school teachers in Greece towards renewable energy sources, particularly wind and solar energy systems. A questionnaire with both open and close questions was used as the main methodological instrument. Findings revealed that although teachers were informed about renewable energy sources and well disposed towards these sources, they hardly expressed clear positions regarding several issues about wind and solar energy technologies and farms. Moreover such themes are limited integrated in teaching either as extra curricular educational programs or through the curriculum. These findings cannot confirm that teachers could influence students’ opinion towards renewable energy systems. Thus, authorities should invest more in Environmental Education and relevant Teachers' Education.     

Does Training in Alternative Assessment Matter? The Case of Prospective and Practicing Mathematics Teachers’ Attitudes Toward Alternative Assessment and Their Beliefs About the Nature of Mathematics

This study explored the training of prospective and practicing mathematics teachers in alternative assessment and its impact on their attitudes toward alternative assessment methods and their beliefs about the nature of mathematics. Data were collected from 51 prospective teachers and 50 practicing teachers who took a course on alternative assessment in mathematics. Findings indicated a significant change in the correlation between the positivist and constructivist dimensions of their beliefs about the nature of mathematics following the course. No significant differences were found between the prospective and practicing teachers’ beliefs either before or after the course nor in their attitudes toward alternative assessment after the course. Before the course, however, the two groups differed significantly in their attitudes toward alternative assessment. Findings also revealed significant changes in attitudes toward alternative assessment and beliefs about the nature of mathematics following participation in the course. These changes in attitudes and beliefs were accompanied by a shift in the nature of the assessment tasks written by the participants. Participants who demonstrated more positive attitudes and constructivist beliefs tended to write more conceptual problems and less procedural exercises. Implications for mathematics teacher training and professional development in alternative assessment are discussed.     

Changes in Attitudes Towards Science–Technology–Society of Pre-service Science Teachers

This research focuses on use of a triadic teaching approach in a science–technology–society (STS) course designed for future science teachers for middle schools in Turkey. Forty-three pre-service science teachers were enrolled in a semester-long course organized around issues students identified and used throughout the semester. The triadic teaching approach includes library-online searches that lead the students to design and conduct investigations, to carrying out mini-scientific symposia, and to preparing and conducting poster presentations open to the entire student body and faculty. The results of a 30-item Likert scale, administered to the students as a pretest and a posttest, indicated that there were significant increases in positive attitudes towards STS issues from the beginning to the end of the study. Individual interviews were also conducted with the students to determine the individual effects of each component of the triadic teaching approach on their attitudes towards STS issues. All aspects of the new approach provided significant contributions to the development of more positive attitudes among the students towards STS via interviews and on all sub-scales of a survey administered that include: (1) pupil interest in STS issues; (2) teacher interest in STS issues; (3) general perceptions regarding importance of STS issues.

Pre-service Mathematics Teachers’ Noticing Skills and Scaffolding Practices

A 14-week course program was designed to investigate pre-service teachers’ noticing skills and scaffolding practices. Six pre-service teachers were matched with a pair of sixth grade students to observe and scaffold students’ mathematical understanding while they were working on the given tasks. Data was collected through pre-service teachers’ own recorded videos of implementation of tasks, their written reflections about the implementations, videos of group reflections before and after the implementations, and students’ written work. The analysis of data revealed that pre-service teachers mostly noticed students’ errors and strategies during their interactions with students, they attended important instances about students’ thinking and justified their reasoning for their comments in their written reflections. However, while interacting with students, they usually used low level scaffolding practices such as asking for clarification, explanation, and justification rather than attempting to elicit students’ thinking and improve their understanding.     

Pre-service Teachers’ Knowledge and Perceptions of the Impact of Mitigative Climate Actions and Their Willingness to Act

Research in Science Education - A 44-item questionnaire was created to examine pre-service teachers’ knowledge and perceptions of the impact of mitigative climate change actions and how...     

Can Mathematics Education and History of Mathematics Coexist?

Despite the wide interest in combining mathematics education and the history of mathematics, there are grave and fundamental problems in this effort. The main difficulty is that while one wants to see historical topics in the classroom or an historical approach in teaching, the commitment to teach the modern mathematics and modern mathematical techniques necessary in thepure and applied sciences forces one either to trivialize history or to distortit. In particular, this commitment forces one to adopt a Whiggish approach to the history of mathematics. Two possible resolutions of the difficulty are (1) radical separation – putting the history of mathematics on a separate track from the ordinary course of instruction, and (2) radical accommodation – turning the study of mathematics into the study of mathematical texts.     

‘Whys’ and ‘Hows’ of Using Philosophy in Mathematics Education

The article elaborates and exemplifies a potential categorization of the reasons for using philosophy, in particular the philosophy of mathematics, in mathematics education and approaches to doing so—the so-called ‘whys’ and ‘hows’. More precisely, the ‘whys’ are divided into the two categories of ‘philosophy as a tool’ for teaching and learning mathematics, and ‘philosophy as a goal’, referring to a stance of considering it a purpose in itself to teach students certain aspects regarding the philosophy of mathematics. A division of the ‘hows’ into three different categories is offered: illumination approaches; modules approaches; and philosophy-based approaches. A major part of the article is spent on providing illustrative exemplifications of each of these approaches by referring to already implemented uses of philosophy of mathematics in mathematics education as well as by suggesting new ones.     

Addressing South African Pre-service Teachers’ Sentiments,Attitudes and Concerns Regarding Inclusive Education

This article recounts the findings of a study that investigated pre-service teachers’ attitudes and concerns regarding inclusive education and their degree of comfort when interacting with people with disabilities after completing courses on inclusive education. One hundred and eighty pre-service teachers from one higher education institution in South Africa completed the Sentiments, Attitudes and Concerns about Inclusive Education Scale. They were all being prepared to teach at either the primary (41%) or secondary (59%) level of education. Pre-service teachers’ mean scores on the sentiments scale increased following the intervention (p < 0.001), as did the mean scores on the attitudes scale (p < 0.001). However, mean scores related to their concerns decreased (p = 0.01). With respect to the latter finding, as a result of the intervention the pre-service teachers became more worried about resources to support inclusive education (p < 0.001), the reality of large classes (p = 0.01) and their workload (p = 0.04). Recommendations based on the research findings are made, suggesting that the quality of courses on inclusive education should be enhanced in higher education institutions.     

Consolidating Pre-service Physics Teachers’ Subject Matter Knowledge Using Didactical Reconstructions

In the Department of Physics, University of Helsinki, there are advanced physics courses designed for the needs of pre-service physics teachers. The starting point is that after introductory and intermediate physics courses, pre-service physics teachers know laws and definitions but the knowledge is quite fragmented and does not form coherent wholes. Graphical tools called didactical reconstructions were developed to help pre-service physics teachers to consolidate their physics knowledge. The idea behind the reconstructions is that “new” physics knowledge is always constructed based on previous knowledge (quantities, laws, theory). This means that every new concept is connected to previous concepts when it is formed; this is captured in the didactical reconstruction of processes. Then, when the knowledge is further constructed, the formed concept will be connected to other new concepts. This approach leads to the didactical reconstruction of structure: networks of quantities and laws, where the experiments and models construct the connections between quantities and laws. Here an overview and summary of the educational approach based on the didactical reconstruction is given for the first time. The results of the previously reported case studies show that the didactical reconstructions help students to connect the knowledge pieces into meaningful and more coherent wholes. These didactical reconstructions are now an integral part of our pre-service physics teacher education.     

Exploring Elementary Pre-service Teachers’ Beliefs About Science Teaching and Learning as Revealed in Their Metaphor Writing

This study examined elementary preservice teachers’ beliefs about the role/image of a science teacher and science teaching and how these beliefs change during an elementary science methods course; this examination was conducted through an analysis of their metaphor writing. Data included personal metaphors and rationale papers for supporting them collected from 106 participants at the start and end of the semester. Data were analyzed using the constant comparative method and also quantified for statistical analysis. Results indicate that most participants came to the course with traditional views and developed more constructivist views during the course. However, they tended to keep their traditional views and added new constructivist perspectives into their original belief systems. This study suggests that metaphor writing can be used as both a reflection tool for preservice teachers to clarify and refine their beliefs about science teaching and learning and a diagnostic assessment tool for teacher educators to understand their students for tailoring a methods course accordingly.     

Issues of Methods and Theory in the Study of Mathematics Teachers’ Professed and Attributed Beliefs

In research on teachers’ beliefs, a distinction is often made between what teachers state (“professed beliefs”) and what is reflected in teachers’ practices (“attributed beliefs”). Researchers claim to have found both consistencies and inconsistencies between professed and attributed beliefs. In this paper, methods and research designs typically used in studies of teachers’ beliefs are examined. It is asserted that, in some cases, the perceived discrepancy between professed and attributed beliefs may actually be an artifact of the methods used to collect and analyze relevant data and the particular conceptualizations of beliefs implicit in the research designs. In particular, the apparent dichotomy can be the result of a lack of shared understanding between teachers and researchers of the meaning of terms used to describe beliefs and practices. In addition, it is asserted that it is inappropriate to classify any belief as entirely professed since researchers make various attributions to teachers through choices about data collection, theory, analysis of data, and presentation of findings. Moreover, the emphasis on classifying beliefs in this manner may be inhibiting researchers from developing a more comprehensive understanding of teachers’ beliefs. Traditional and alternative methods are described, a data example is provided to illustrate the claims, and implications for future research are discussed.     

Pre-service Teachers’ False Beliefs in Superstitions and Pseudosciences in Relation to Science and Technology

Science & Education - In order to increase scientific competence within the general population, it is important that teachers and educators have a realistic image of science and scientists,...     

K-12 Science and Mathematics Teachers’ Beliefs About and Use of Inquiry in the Classroom

A survey instrument was developed and administered to 1,222 K-12 mathematics and science teachers to measure their beliefs about and use of inquiry in the classroom. Four variables (grade level taught, content area taught, level of support received, and self-efficacy for teaching inquiry) were significantly correlated to two dependent variables, percentage of time that students are engaged in inquiry during a typical lesson and the perceived ideal percentage of instructional time that should be devoted to inquiry. Specifically, elementary school teachers reported using inquiry-based practices more than either middle-school or high-school teachers; similarly, elementary-school teachers believed such practices should be used more often. All groups, however, reported believing in an ideal percentage of time devoted to inquiry instruction that was significantly greater than their reported percentage of time actually spent on inquiry instruction. A disordinal effect was found between grade level taught and content area taught; at the elementary level, science teachers reported both an ideal and actual percentage of time on inquiry higher than those reported by the math teachers, while at the high school level math teachers reported both an ideal and actual percentage of time on inquiry higher than those reported by the science teachers. No correlations were found between typical and ideal percentage of time devoted to inquiry and subject matter content knowledge training, gender, years of teaching experience, or maximum degree earned.     

What Are the Goals of Kindergarten? Teachers’ Beliefs and Their Perceptions of the Beliefs of Parents and of Agents of the Education System

Research Findings: The study examined the beliefs of kindergarten teachers (K-teachers) regarding the goals of kindergarten. We asked K-teachers to reflect on their own beliefs, their understanding of parents’ beliefs, and their understanding of the beliefs that guide agents of the education system. We further examined differences between K-teachers based on the type of kindergarten in which they worked (religious or secular) and the socioeconomic status of children’s families (middle-high or middle-low). A total of 120 K-teachers responded to closed questionnaires, and 12 teachers also participated in a semistructured interview. The results revealed an incongruence between K-teachers’ perspectives and their understanding of the positions of parents and of agents of the education system. K-teachers evaluated fostering children’s positive self-esteem as the most important goal and promoting literacy and mathematics skills as the least important. They believed, however, that parents and agents of the education system regard children’s advancement in literacy and mathematics skills as the most important goal. Practice or Policy: Recognizing this incongruence facilitates understanding of the rationale behind K-teachers’ actions and their relationships with parents and professional partners. It enables identification of topics that need to be addressed by the professional education community in order to create a dialogue among K-teachers, families, and policymakers.     

Elementary Teachers’ Mathematics Subject Knowledge: the Knowledge Quartet and the Case of Naomi

This paper draws on videotapes of mathematics lessons prepared and conducted by pre-service elementary teachers towards the end of their initial training at one university. The aim was to locate ways in which they drew on their knowledge of mathematics and mathematics pedagogy in their teaching. A grounded approach to data analysis led to the identification of a ‘knowledge quartet’, with four broad dimensions, or ‘units’, through which mathematics-related knowledge of these beginning teachers could be observed in practice. We term the four units: foundation, transformation, connection and contingency. This paper describes how each of these units is characterised and analyses one of the videotaped lessons, showing how each dimension of the quartet can be identified in the lesson. We claim that the quartet can be used as a framework for lesson observation and for mathematics teaching development.     

Undergraduates’ Attitudes Toward Science and Their Epistemological Beliefs: Positive Effects of Certainty and Authority Beliefs

Attitudes toward science are an important aspect of students’ persistence in school science and interest in pursuing future science careers, but students’ attitudes typically decline over the course of formal schooling. This study examines relationships of students’ attitudes toward science with their perceptions of science as inclusive or non-religious, and their epistemological beliefs about epistemic authority and certainty. Data were collected using an online survey system among undergraduates at a large, public US university (n = 582). Data were prepared using a Rasch rating scale model and then analyzed using multiple-regression analysis. Gender and number of science and mathematics courses were included as control variables, followed by perceptions of science, then epistemological beliefs. Findings show that respondents have more positive attitudes when they perceive science to be inclusive of women and minorities, and when they perceive science to be incompatible with religion. Respondents also have more positive attitudes toward science when they believe scientific knowledge is uncertain, and when they believe knowledge derives from authority. Interpretations of these findings and implications for future research are discussed.     

The Influence of Teachers’ Efficacy and Beliefs Regarding Mathematics Instruction in the Early Childhood Classroom

This was a correlational study conducted with a population of prekindergarten educators from a large, metropolitan school district. The purpose was to examine if there were relationships between and among early childhood teachers’ sense of self-efficacy, their beliefs about the importance of mathematics, and their mathematics instructional practices. Examining teachers’ efficacy and beliefs can inform educational practice and help to differentiate between more and less successful instructional practices when teaching mathematics in the early childhood classroom. Data were collected on teacher efficacy and teacher beliefs about the importance of mathematics with two self-report questionnaires. The hypothesis that the teachers higher in efficacy will rate the importance of mathematics higher on the teacher-belief scale than the teachers with lower efficacy was found to be true with this sample, but the correlation was weak. The level of efficacy of the early childhood teachers in this sample confirmed that in assessing their capabilities, they rate themselves high in instructional strategies, classroom management, and student engagement. The early childhood teachers did not rate their belief in mathematics as high as their efficacy. Observations of mathematics instructional practices were conducted with twenty teachers. It was hypothesized that the combination of high teacher efficacy and high teacher mathematics beliefs would show alignment with the presence of standards-based mathematics instructional practices. The results were not statistically significant. No correlation signals a need for more research to explore what other personal or external factors relate to mathematics instructional practices in the early childhood classroom. The research may inform pre kindergarten teachers and teacher educators about effective instructional strategies and knowledge needed to launch early childhood students on a developmentally appropriate pathway to mathematical literacy.