Photovoice: understanding high school females’ conceptions of mathematics and learning mathematics

Photovoice is a participatory action research tool that is grounded in the literature for critical consciousness (Wang & Burris, 1997). Four creative high school girls who reported struggles with mathematics were given cameras and asked to take photographs to answer the following questions: (1) What is mathematics? (2) What is your ideal learning environment? (3) What things impede your learning of mathematics? Within-case and cross-case analyses of the photographs and interview responses were conducted. Each individual case was analyzed using the work of Belenky, Clinchy, Goldberger, and Tarule (Women’s Ways of Knowing, 1986) who investigated women’s epistemological perspectives. The girls were either silenced (disconnected from the mathematical knowledge of the teacher), received (lacked confidence to do mathematics independently), or “fragily” subjective (viewed mathematical knowledge as personal rather than imparted by the teacher) knowers of mathematics. The use of photovoice has the power to facilitate the nurturing of silence as it moves toward the “roar which is on the other side of silence” (Belenky et al., 1986, p. 4).     

Explicating Students' Personal Professional Theories in Vocational Education through Multi-method Triangulation

Students in competence-based vocational education are expected to actively construct a personal professional theory, in which they integrate different types of knowledge and beliefs. Students' personal professional theories are seen as an important learning outcome of competence-based vocational education. However, it is unknown how personal professional theories can be measured. This study focused on measuring the content and nature of students' personal professional theories using a multi-method triangulation approach, in which 16 students in the domain of Social Work constructed a concept map, an interview and a self-report. The results show that the relatively structured methods (i.e., interviews and concept maps) reveal more insight into students' personal professional theories than less structured methods (i.e., self-reports). It is concluded that both structure as well as adequate prompts are important in the process of explicating personal professional theories.     

A study of the nature of students' understandings about the concept of burning

The purpose of this study was to identify and characterize students' understandings about the concept of burning. Naturalistic data-collecting strategies used in this study included participant observation and interviewing. Twenty eighth graders were interviewed using the “interview-about-events” technique, a variation of the Piagetian interview. The interviews were audiotape recorded, transcribed, and analyzed using the process of analytic induction. The analysis showed that students' understandings about burning were fragmented, inconsistent, and at variance with scientific knowledge. These understandings are analyzed using Olson's (1977) characterization of common sense and scientific knowledge.     

Chemistry teaching objectives in Italian secondary schools

Responses to a written beliefs test for 178 eighth grade students and interviews with a subset of the students are analysed to investigate students' beliefs about the tentativeness of scientific knowledge and about the autonomy and strategies appropriate for science learning. These three dimensions of beliefs are salient because they align with the image of science teaching promoted by current reform movements. Analyses focus on change in beliefs and relationships among dimensions of beliefs and between those beliefs and students' understandings of science concepts. Results show that students' beliefs do not change much during the one-semester course. Students who view scientific knowledge as tentative also try to understand science. Autonomous students do not hold the most productive learning strategies, though students with low autonomy develop significantly less coherent understandings of science concepts. Instructional implications focus on potential roles of teachers and technology in promoting productive beliefs about scientific knowledge and science learning. Implications for individualized instruction follow classroom-level implications.     

A developmental constructivist approach to pre-service teachers' ways of knowing

The purpose of this study is to apply the Women's Ways of Knowing (Belenky, Clinchy, Goldberger, & Tarule, 1986; New York: Basic Books) conceptualization to the thinking exhibited in interviews of preservice teachers. Thirty two students (24 female, 8 male; aged 20–53 years) near the end of their teacher education program at an urban university were interviewed and their thinking was classified as predominantly received, subjective, procedural, constructed, or a mixture of two categories. More than half the students demonstrated significant amounts of procedural or constructed thinking. Examples of how students used different kinds of thinking in their teacher education program are provided and implications for teacher educators are suggested. The implications for teacher education of the Women's Ways of Knowing approach is also discussed.     

University Students’ Understanding of Electromagnetic Induction

This study examined engineering and physical science students' understanding of the electromagnetic induction (EMI) phenomena. It is assumed that significant knowledge of the EMI theory is a basic prerequisite when students have to think about electromagnetic phenomena. To analyse students' conceptions, we have taken into account the fact that individuals build mental representations to help them understand how a physical system works. Individuals use these representations to explain reality, depending on the context and the contents involved. Therefore, we have designed a questionnaire with an emphasis on explanations and an interview, so as to analyse students' reasoning. We found that most of the students failed to distinguish between macroscopic levels described in terms of fields and microscopic levels described in terms of the actions of fields. It is concluded that although the questionnaire and interviews involved a limited range of phenomena, the identified explanations fall into three main categories that can provide information for curriculum development by identifying the strengths and weaknesses of students' conceptions.     

Structural characteristics of university engineering students' conceptions of energy*

This study examined structural characteristics of university engineering students' conceptions of energy elicited through paragraph writing and their relations with categories of their conceptions specific to energy in solution processes identified through interviews. We found that structures of students' conceptions are characterized primarily by characteristic, example‐of/type‐of, and lead‐to types of relations, and these relations correspond with categories of students' conceptions. More specifically, categories of students' conceptions are exclusively related to energy transformation, and students failed to apply the notion of energy conservation demonstrated in structures of their conceptions to explain the temperature change in solution processes. It is concluded that although paragraph writing and interviews solicit different student conceptions, the conceptions identified from the two sources are related and paragraph writing tends to provide a more holistic picture of students' conceptions. This conclusion has clear implications for science curriculum development and instruction. © 2002 Wiley Periodicals, Inc. J Res Sci Teach 39: 423–441, 2002     

High school students' ideas about theories and theory change after a biological inquiry unit

Students' epistemological beliefs about scientific knowledge and practice are one important influence on their approach to learning. This article explores the effects that students' inquiry during a 4‐week technology‐supported unit on evolution and natural selection had on their beliefs about the nature of science. Before and after the study, 8 students were interviewed using the Nature of Science interview developed by Carey and colleagues. Overall, students held a view of science as a search for right answers about the world. Yet, the inconsistency of individuals' responses undermines the assumption that students have stable, coherent epistemological frameworks. Students' expressed ideas did not change over the course of the intervention, suggesting important differences between students' talk during inquiry and their abilities to talk epistemologically about science. Combined with previous work, our findings emphasize the crucial role of an explicit epistemic discourse in developing students' epistemological understanding. © 2003 Wiley Periodicals, Inc. J Res Sci Teach 40: 369–392, 2003     

Exploring epistemological approaches and beliefs of middle school students in problem-based learning

Abstract

The authors investigated the influence of engaging in a problem-based learning unit on middle school students' epistemic beliefs, and how such students' epistemic beliefs and approaches to argumentation within and outside of their small groups related. Data sources include state science achievement test scores, epistemic beliefs pre- and posttests, videotaped class sessions, retrospective interviews, and pre- and post-cognitive interviews. Quantitative data were collected and analyzed from 59 students, while the qualitative subsample consisted of 15 students. Engaging in problem-based learning led to a significant effect on students' epistemic beliefs. The effect was of a large magnitude among high-achieving students, of a small magnitude among average-achieving students, and of a small negative magnitude among lower-achieving students. Students employed different approaches to generating and evaluating arguments in different ecosystems, including as small groups and in discussions with the teacher.     

Student Journals and Student-constructed Questions in a Primary Mathematics Classroom

Eleven Grade 6 students from a class of 26 Canadian children (comprising both Grade 5 and Grade 6 students) were the focus of a 15-week study on students' mathematical learning through writing, where Student Journals (SJ) and Student-Constructed Questions (SCQ) were used by the class teacher as an integral part of her lessons on common and decimal fractions. Student interviews, classroom observations and a teacher interview complemented the analysis of SJ and SCQ. Both writing tasks evidenced students' mathematical learning, but while the SCQ indicated students' fraction knowledge more clearly, the SJ did not communicate students' understanding of fractions as well as student's verbal discussion and explanations did.     

Variation in Finnish students' understanding of Lutheranism and its implications for religious education: a phenomenographic study

This article contains the results of how a selected group of Finnish upper secondary students understand Lutheranism. The data consisted of 63 students' responses to a writing task together with complementary interviews of 11 students. The outcomes of phenomenographic analysis of variation in the students' understanding of Lutheranism are presented in five hierarchically ordered categories. The implications for religious education are discussed in terms of what teachers could learn from differences in students' understandings of the subject matter in order to enhance their learning of it.     

Understanding children's epistemic beliefs in elementary education

Research shows that the beliefs individuals hold about knowledge and knowing (epistemic beliefs) influence learning approaches and outcomes. However, little is known about the nature of children's epistemic beliefs and how best to measure these. In this pilot study, 11 Australian children (in Grade 4 or Grade 6) were asked to ‘draw, write and tell’ about their epistemic beliefs using drawings, written responses and interviews, respectively. Drawings were analysed, with the majority of children depicting external, one-way sources of knowledge. The written statements and interviews were analysed using inductive thematic analysis, showing that children predominantly described knowledge acquisition as processes of task-based learning. Interviews also enabled children to describe a wider range of views. These results indicate that the methodological combination of ‘draw, write and tell’ allowed for a deeper understanding of the children's epistemic beliefs which holds implications for future research.     

Latino expectations of communicative competence: A focus group interview study

Drawing on Martin, Hammer, and Bradford's (1994) work on intercultural communicative competence, this investigation explored Latino expectations of communicative competence using focus group interviews. Like the Martin et al. (1994) study, communicative competence was examined in four contexts — intracultural‐social, intracultural‐task, intercultural‐social, and intercultural‐task. Results indicated overall support for seven of Martin et al.’s (1994) eight behavioral categories. Data from focus group interviews in this study suggested an additional competence category specific to task contexts as well as some emic behaviors not identified in the Martin et al. (1994) investigation.     

Exploring student beliefs and understanding in elementary science and mathematics

This study had the goal of investigating the association among elementary students' (N = 276) science and math beliefs and the relationship between those beliefs and teachers' ratings of mathematical and science understanding. Results of structural path analysis indicate that in science, intellectual risk‐taking (IRT; the willingness to share tentative ideas, ask questions, attempting to do, and learn new things) was positively related to teachers' ratings of science understanding, while creative self‐efficacy (CSE) beliefs (i.e., students' confidence in their ability to generate ideas and solutions in science) were indirectly related (working through IRT). Results also indicate that students' scientific certainty beliefs (i.e., the belief that science knowledge is stable, fixed, and represented by correct answers) were negatively related to teachers' ratings of science understanding. With respect to math, results indicate that students' CSE beliefs were positively related to teachers' ratings of math understanding; whereas students' mathematical source beliefs (i.e., believing that math knowledge originates from external sources) were negatively related. © 2012 Wiley Periodicals, Inc. J Res Sci Teach 49: 942–960, 2012     

Promoting cross‐cultural awareness and understanding: incorporating ethnographic interviews in college EFL classes in Taiwan

The emergence of the incorporation of culture into EFL education is a growing trend in Taiwan. The purpose of the study was to examine: (1) the effects of the ethnographic interview project on Taiwanese students' cognitive development in understanding native English speakers and their cultures; (2) changes in students' self‐awareness and understanding of both the target culture and their own; and (3) students' perceptions of the ethnographic interview project employed in EFL college classes. Data were collected through pre–post questionnaires, oral and written reports, classroom observation and interviews. Results indicated that participation in the ethnographic interview project helped facilitate the development of cross‐cultural awareness and communication skills by providing opportunities for students to gain insight into the values of target language countries, learn to view their own culture in new ways, increase their confidence in using English to communicate and view authentic communication as the goal of EFL learning. The majority of the participants saw the ethnographic interview project as an effective means of facilitating intercultural/interpersonal communication and understanding.     

Primary school students' metacognitive beliefs about religious education

So far scholars have researched beliefs about knowledge, knowing, and learning mainly in the areas of science and mathematics and among secondary school students. In this article, we explore primary school students' metacognitive beliefs about religious education. The article reports on a study involving 656 fifth- and sixth-grade students. We investigated their metacognitive beliefs, how these beliefs interrelate, and which students agree with which beliefs. In the minds of young students 7 categories are discernible: realistic learning, the transformative power of religion, social learning, intrinsic task value motivation, learning satisfaction motivation, the teacher's empathic orientation to learning, and the teacher's respect for students' contributions. These categories and their interrelationships open up new perspectives for the construction of a metacognitive beliefs system and for an interconnected network of beliefs across domains. We also outline implications for religious education in schools.     

Students' Visualization of Diagrams Representing the Human Circulatory System: The use of spatial isomorphism and representational conventions

This study investigated students' interpretation of diagrams representing the human circulatory system. We conducted an interview study with three students aged 14–15 (Year 10) who were studying biology in a Hong Kong school. During the interviews, students were asked to interpret diagrams and relationships between diagrams that represented aspects of the circulatory system. All diagrams used in the interviews had been used by their teacher when teaching the topic. Students' interpretations were expressed by their verbal response and their drawing. Dual coding theory was used to interpret students' responses. There was evidence that one student relied on verbal recall as a strategy in interpreting diagrams. It was found that students might have relied unduly on similarities in spatial features, rather than on deeper meanings represented by conventions, of diagrams when they associated diagrams that represented different aspects of the circulatory system. A pattern of students' understanding of structure–behaviour–function relationship of the biological system was observed. This study suggests the importance of a consistent diagrammatic and verbal representation in communicating scientific ideas. Implications for teaching practice that facilitates learning with diagrams and address students' undue focus on spatial features of diagrams are discussed.     

Teacher Education Programmes and Their Contribution to Student Teacher Efficacy in Classroom Management and Pupil Engagement

This study focuses on how different educational programmes contribute to student teachers efficacy for classroom management and their abilities to provide learning opportunities and good classroom outcomes. Data were gathered from 491 student teachers attending different teacher education programmes in Norway and analysed via structural equation modelling. The results revealed the following: (1) problem behaviour in the classroom has a negative effect on student teacher efficacy, (2) students' perceptions of the integration of pedagogic knowledge and practice supports students' efficacy beliefs, (3) support from supervisors contributes positively to student teachers' efficacy beliefs, and (4) student teachers in university college programmes for primary school teaching report higher teacher efficacy than students in university programmes for secondary school teaching.