The purpose, design and use of examples in the teaching of elementary mathematics

This empirical paper considers the different purposes for which teachers use examples in elementary mathematics teaching, and how well the actual examples used fit these intended purposes. For this study, 24 mathematics lessons taught by prospective elementary school teachers were videotaped. In the spirit of grounded theory, the purpose of the analysis of these lessons was to discover, and to construct theories around, the ways that these novice teachers could be seen to draw upon their mathematics teaching knowledge-base in their lesson preparation and in their observed classroom instruction. A highly-pervasive dimension of the findings was these teachers’ choice and use of examples. Four categories of uses of examples are identified and exemplified: these are related to different kinds of teacher awareness.

Using Research Based Assessment Tools in Professional Development in Current Electricity

We present a practical way of adapting and using four research-based assessments for different purposes in an electricity and magnetism course for K-8 science teachers. The course is designed to accomplish conceptual change toward accepted scientific conceptions as well as introducing teachers to materials and activities appropriate for their classrooms. Our data support that using the research-based tests to identify alternative conceptions and discuss test results with teachers is a promising way to use the knowledge of alternative conceptions in professional development. We also identify some mismatches between the research of conceptual change and its use in programs of professional development.

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Challenges in deepening prospective teachers’ understanding of multiplication through justification

This article reports challenges faced by prospective elementary teachers as they revisited whole number multiplication through a sequence of tasks that required them to develop and justify reasoning strategies for multiplication. Classroom episodes and student work are used both to illustrate these challenges, as well as to demonstrate growth over time. Implications for the design of mathematics courses for prospective teachers’ are discussed. Although the study is situated in the context of multiplication, it has implications for teachers reasoning and justification in other areas of mathematics.

Signifying “students”, “teachers” and “mathematics”: a reading of a special issue

This paper examines a Special Issue of Educational Studies in Mathematics comprising research reports centred on Peircian semiotics in mathematics education, written by some of the major authors in the area. The paper is targeted at inspecting how subjectivity is understood, or implied, in those reports. It seeks to delineate how the conceptions of subjectivity suggested are defined as a result of their being a function of the domain within which the authors reflexively situate themselves. The paper first considers how such understandings shape concepts of mathematics, students and teachers. It then explores how the research domain is understood by the authors as suggested through their implied positioning in relation to teachers, teacher educators, researchers and other potential readers.

The Necessity of Making Visible Concepts with Multiple Meanings in Science Education: The Use of the Gene Concept in a Biology Textbook

The purpose of this study is to analyze variations in how the gene concept is used and conceived in different sub-disciplines in biology. An examination of the development of subject matter and the use of the gene concept in a common college biology textbook shows that the gene concept is far from presented in a consistent way. The study describes and categorizes five different gene concepts used in the textbook; the gene as a trait, an information-structure, an actor, a regulator and a marker. These conceptual differences are not dealt with in an explicit manner. This constitutes one of the sources for confusion when learning about genes and genetics.

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More than a conversation: using cogenerative dialogues in the professional development of high school chemistry teachers

This paper focuses on content-based and pedagogical instructors’ use of cogenerative dialogues to improve instructional practice and to evaluate program effectiveness in a professional development program for high school chemistry teachers. We share our research findings from using cogenerative dialogues as an evaluative tool for general assessment of various program-related issues. We discuss how engaging students in cogenerative dialogues improved teaching and learning in chemistry and chemistry education courses. This research provides insights and direction for improving content-based professional development programs for science teachers and the learning experiences of high school science students. Cogenerative dialogue has the potential to expand evaluation methodologies that will position participants more centrally in not only the collection of data, but also the analysis of these data to catalyze transformative practices in educational programs.

Real-world connections in secondary mathematics teaching

The mathematics-education community stresses the importance of real-world connections in teaching. The extant literature suggests that in actual classrooms this practice is infrequent and cursory, but few studies have specifically examined whether, how, and why teachers connect mathematics to the real world. In this study, I surveyed 62 secondary mathematics teachers about their understanding and use of real-world connections, their purposes for making connections in teaching, and factors that support and constrain this practice. I also observed 5 teachers making real-world connections in their classrooms and I conducted follow-up interviews; these qualitative data are used to illuminate findings from the survey data. The results offer an initial portrayal of the use of real-world connections in secondary mathematics classes and raise critical issues for more targeted research, particularly in the area of teacher beliefs about how to help different kinds of students learn mathematics.

Sources of students’ frustration in pre-university level, prerequisite mathematics courses

This paper looks at sources of frustration in students of “prerequisite” mathematics courses (PMC), that is, courses required for admission into undergraduate programs in a large, urban, North American university. The research was based on responses to a questionnaire addressed to students and interviews with students and instructors. In the design of the questionnaire and the analysis of responses, an “institutional” theoretical perspective was taken, where frustration was conceived not only as a psychological process but also as a situation experienced by participants in a concrete educational institution. Several sources of frustration were identified as important in the group of respondents: the fast pace of the courses, inefficient learning strategies, the need to change previously acquired ways of thinking, difficult rapport with truth and reasoning in mathematics, being forced to take PMC, insufficient academic and moral support on the part of teachers, and poor achievement. These sources of frustration are discussed from the point of view of their impact on the quality of the mathematical knowledge that students develop in the PMC. Consideration is also given to the possibilities of improving the quality of this knowledge, given the institutional constraints implicated in the sources of students’ frustration.

Teachers’ Coping Strategies for Teaching Science in a “Low-Performing” School District

This study describes how teachers use their personal knowledge of a school district and their students to cope with teaching under stressful situations associated with economic, social, and institutional factors. The 3 teachers dealt with these issues in unique ways, focusing on helping students to overcome negative perceptions, value the importance of an education, and build strong relationships. A model of multicultural science professional development is proposed that complements the strengths that these teachers have. A task for science educators working with teachers and administration in schools and districts that are “critically low performing” is to support everyone in implementing pedagogical methods aimed at empowerment, social justice, and high achievement for all students.

Antecedents and Correlates of Course Cancellation in a University “Drop and Add” Period

Most institutions of higher education allow students to drop or add courses in the first 2–3 weeks of each term (D&A). Arguing that course cancellation is not merely an administrative issue involving enrollment trends but represents complex decision making processes taken by students, this study investigated antecedents and correlates of course cancellation during a D&A period in 109 elective courses. Student ratings of the teachers (SRT) and characteristics of the syllabi distributed in the first class session were investigated as predictors of course cancellation. Rates of cancellation were significantly predicted from SRT and from syllabus workload difficulty—lower quality teachers (SRT-based) and more difficult courses (syllabus-based) being cancelled more frequently. Analysis of a sub-sample of truly elective, high-priority courses revealed that these correlations were intensified in teacher-centered lecture courses, but nullified in student-centered seminar courses, in which students write independent research papers. The importance of students’ course selection and course cancellation as decision making processes, the methodology based on institutional data rather than students’ self-reports, and the unique effects of course difficulty on students’ decisions were discussed.

Clergy’s Views of the Relationship between Science and Religious Faith and the Implications for Science Education

Since many teachers and students recognize other kinds of knowledge (faith) based on other ways of knowing, consideration of these realities is appropriate for the science education community. Understanding the multitude of ways that clergy view relationships between science and faith (i.e. alternative ways of knowing) would assist in understanding various ways that people address complex issues arising from ideas about science and faith. We administered a questionnaire composed of multiple-choice and short answer items to 63 United Methodist ministers. Findings included (1) that formal, organized faith contexts (e.g. church services) serve as informal science education opportunities, (2) participants demonstrated considerable diversity regarding the types of relationships developed between science and faith, and (3) participants recognized a need exists for better understandings of science and its relationship to faith for them, their colleagues, and their congregations.

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Preparing Elementary Preservice Teachers for Urban Elementary Science Classrooms: Challenging Cultural Biases Toward Diverse Students

This study reports the learning of elementary preservice teachers regarding diversity and teaching science in diverse urban elementary classrooms. From participating in a semester-long book club, the preservice teachers reveal their cultural biases, connect and apply their knowledge of diversity, and understand that getting to know their students are important elements for teaching science in diverse classrooms. These 3 things connect in ways that allow the preservice teachers to understand how their cultural biases impede student learning and gain new knowledge of diversity as they change their cultural biases. Implications of this study reveal that preservice teachers need opportunities to reveal, confront, challenge, and change their cultural models and to develop new models for teaching science in urban elementary classrooms.

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Just knowing how to read isn't enough! Assessing knowledge for teaching reading

Debates persist over the knowledge needed to teach elementary reading effectively. In one commonly held view verbal ability is what matters most and the best approach to improving teacher quality is to recruit teachers who themselves are good readers. Others argue that teachers need special forms of professional knowledge that differ substantially from common adult reading and verbal ability. These different assumptions about what teachers need to know are directly relevant to whether teaching reading demands specialized professional knowledge and they have lead to radically different policy recommendations for both teacher preparation and induction. This study presents preliminary evidence that elementary reading teachers can hold a special knowledge of language, text, and reading process that differs substantially from common reading and verbal ability. Implications for the measurement and study of teacher quality and related implications for teacher evaluation and teacher development are discussed.

Feminist philosophy of science: ‘standpoint’ and knowledge

Feminist philosophy of science has been criticized on several counts. On the one hand, it is claimed that it results in relativism of the worst sort since the political commitment to feminism is prima facie incompatible with scientific objectivity. On the other hand, when critics acknowledge that there may be some value in work that feminists have done, they comment that there is nothing particularly feminist about their accounts. I argue that both criticisms can be addressed through a better understanding of the current work in feminist epistemology. I offer an examination of standpoint theory as an illustration. Harding and Wylie have suggested ways in which the objectivity question can be addressed. These two accounts together with a third approach, ‘model-based objectivity’, indicate there is a clear sense in which we can understand how a standpoint theory both contributes to a better understanding of scientific knowledge and can provide a feminist epistemology.

Pre-service Teachers’ Perceptions of Urban Schools

This study investigates pre-service teachers’ perceptions of urban schools. We asked 41 pre-service teachers, mostly white and female, to report their perceptions of four aspects of urban schools (appearance and atmosphere, resources, students, and teachers) and identify the sources of their perceptions. We analyze the data qualitatively to understand how they perceive urban schools and quantitatively to determine group trends in their perceptions. Findings reveal that their perceptions of urban schools are complex, with negative and positive impressions of selected aspects of urban schools. Implications of these findings for teacher education, in particular, urban field placements and curriculum, are explored.

Implementing a Physical Activity Curriculum into the School Day: Helping Early Childhood Teachers Meet the Challenge

In Fall 2006, North Carolina kindergarten teachers were charged with the task of meeting the NASPE guidelines for providing daily physical activity to their kindergarten students. In turn, the teachers researched resources and consulted experts to design and develop a developmentally appropriate physical activity and physical play environment for their students. The purpose of this article is to disseminate useful information one group of kindergarten teachers believed would help other teachers in similar situations. The article discusses the planning process, suggestions for activities and necessary equipment for program implementation, and vignettes regarding the experiences the teachers and students have had during the physical activity and physical play program’s inaugural year.

Making the Muscular Briton

The subject of this article is ‘The Royal Readers’, a group of reading anthologies published in Britain by Thomas Nelson between 1872 and 1881 for use in elementary schools. The focus is not on their contribution to the teaching of reading but rather on how they functioned as the tools of an education system conceived primarily as an agent of socialisation. Using examples drawn directly from the texts, it is shown by what means the educators sought to transmit the ideology of imperialism and to define for working-class children – especially boys – a future role in Empire. The article concludes by speculating on the possible impact on pupils of the kind of reading experience offered by these materials.

Hermeneutics of science and multi-gendered science education

In this paper, I consider the relevance of the view of cognitive existentialism to a multi-gendered picture of science education. I am opposing both the search for a particular feminist standpoint epistemology and the reduction of philosophy of science to cultural studies of scientific practices as championed by supporters of postmodern political feminism. In drawing on the theory of gender plurality and the conception of dynamic objectivity, the paper suggests a way of treating the nexus between the construction of gender within the interrelatedness of scientific practices and the constitution of particular objects of inquiry. At stake is the notion of characteristic hermeneutic situation which proves to be helpful in designing a multi-gendered pedagogy as well.

Culture, food, and language: Perspectives from immigrant mothers in school science

The article explores the role of immigrant parents in middle school science as both teachers and learners as part of an urban middle school curriculum, the Linking in Food and the Environment (LiFE) program. The curriculum engaged parents as partners with science teachers to teach science through food. Over a 2-year period, parents attended a series of bilingual workshops, collaborated with classroom teachers, managed activities, guided student inquiry, and assisted in classroom management. The following study analyzes the role of culture, language, and identity as four mothers navigated their position as ‘insiders’ in a science classroom.