Sampling knowledge and understanding: how long should a test be?

Many academic tests (e.g. short‐answer and multiple‐choice) sample required knowledge with questions scoring 0 or 1 (dichotomous scoring). Few textbooks give useful guidance on the length of test needed to do this reliably. Posey's binomial error model of 1932 provides the best starting point, but allows neither for heterogeneity of question difficulty and discriminatory power nor for students' uneven spread of knowledge. Even with these taken into account, it appears that tests of 30–60 items, as commonly used, must generally be far from adequate. No exact test length can be specified as ‘just sufficient’, but the tests of 300 items that some students take are not extravagantly long. The effects on reliability of some particular test forms and practices are discussed.     

Remembering and understanding: the effects of changes in underlying knowledge on children's recollections

This study was designed to explore the influence of changes in children's knowledge on earlier constructed memories. Kindergartners' (N = 102) recall of a series of stories was examined as a function of their interpersonal knowledge about the main story character. Children's knowledge about the protagonist was manipulated prior to presentation of the stories, and the effects of their impressions on story recall were examined. A change in some of the children's impressions was then promoted, and the impact of this second knowledge manipulation on recall of previously heard stories was assessed. The results indicated that children's story recall was affected by their prior impressions. Moreover, following the second knowledge manipulation, children revised their story reports in ways that were consistent with their newly acquired impressions, which suggests that they had reconstructed their memories of previously heard stories. These findings provide evidence for both prospective and retrospective effects of knowledge on memory.     

Sociology of scientific knowledge and scientific education: Part I

This article is the first of two that will examine the claims of contemporary sociology of scientific knowledge (SSK) and the bearing of these claims upon the rationale and practice of science teaching. It is maintained that if the claims of SSK are true then there are serious, and educationally and culturally deleterious, implications which follow. The two articles will argue that, fortunately, the claims of SSK for the external causation of scientific belief are baseless. And thus science teachers should resist admonitions to accept the findings of the sociology of science.

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Exploring the boundary between school science and everyday knowledge in primary school pedagogic practices

This paper explores the different ways that primary school teachers in Uganda navigate the boundary between school science and everyday knowledge in the context of a centrally mandated curriculum innovation. The paper is based on a study of the pedagogic practices of 16 teachers in eight Ugandan primary schools that were selected on the basis of having a track record of either high or low academic achievement in the public primary school‐leaving examination. The official primary school curriculum in Uganda prescribes that science be taught in an integrated form, including integration between science subject knowledge and everyday knowledge. The strategies that teachers in the study adopted in relating science to everyday knowledge was a key feature that differentiated between pedagogic practices in the high‐performing and low‐performing schools. In high‐performing schools, teachers recruited everyday knowledge as a resource for learning science as a specialised discourse; whereas in the low‐performing schools, acquiring everyday knowledge was viewed as an end in itself. The paper, then, considers the implications of differences in teachers' pedagogic strategies for the kinds of knowledge to which learners are given access.     

Arguing to learn and learning to argue: Case studies of how students' argumentation relates to their scientific knowledge

In this study we investigated junior high school students' processes of argumentation and cognitive development in science and socioscientific lessons. Detailed studies of the relationship between argumentation and the development of scientific knowledge are rare. Using video and audio documents of small group and classroom discussions, the quality and frequency of students' argumentation was analyzed using a schema based on the work of Toulmin ( 1958 ). In parallel, students' development and use of scientific knowledge was also investigated, drawing on a schema for determining the content and level of abstraction of students' meaning‐making. These two complementary analyses enabled an exploration of their impact on each other. The microanalysis of student discourse showed that: (a) when engaging in argumentation students draw on their prior experiences and knowledge; (b) such activity enables students to consolidate their existing knowledge and elaborate their science understanding at relatively high levels of abstraction. The results also suggest that students can acquire a higher quality of argumentation that consists of well‐grounded knowledge with a relatively low level of abstraction. The findings further suggest that the main indicator of whether or not a high quality of argument is likely to be attained is students' familiarity and understanding of the content of the task. The major implication of this work for developing argumentation in the classroom is the need to consider the nature and extent of students' content‐specific experiences and knowledge prior to asking them to engage in argumentation. © 2007 Wiley Periodicals, Inc. J Res Sci Teach 45: 101–131, 2008     

Relationships between students' meaningful learning orientation and their understanding of genetics topics

This study explored factors predicting the extent to which high school students (N = 140) acquired meaningful understanding of the biological topics of meiosis, the Punnett-square method, and the relationships between these topics. This study (a) examined mental modeling as a technique for measuring students' meaningful understanding of the topics, (b) measured students' predisposed, generalized tendency to learn meaningfully (meaningful learning orientation), (c) determined the extent to which students' meaningful learning orientation predicted meaningful understanding beyond that predicted by aptitude and achievement motivation, (d) experimentally tested two instructional treatments (relationships presented to students, relationships generated by students), (e) explored the relationships of meaningful learning orientation, prior knowledge, instructional treatment, and all interactions of these variables in predicting meaningful understanding. The results of correlations and multiple regressions indicated that meaningful learning orientation contributed to students' attainment of meaningful understanding independent of aptitude and achievement motivation. Meaningful learning orientation and prior knowledge interacted in unique ways for each topic to predict students' attainment of meaningful understanding. Instructional treatment had relatively little relationship to students' acquisition of meaningful understanding, except for learners midrange between meaningful and rote. These findings imply that a meaningful learning approach among students may be important, perhaps as much or more than aptitude and achievement motivation, for their acquisition of interrelated, meaningful understandings of science.     

Relationships between mathematical knowledge for teaching and teaching practice: the case of proof

Teachers of mathematics orchestrate opportunities for interactions between learners and subject matter. Therefore, mathematics teachers need rich, multidimensional content knowledge for teaching mathematics, which incorporates knowledge of the subject matter, students, and teaching. Studying this mathematical knowledge for teaching (MKT) necessitates more than a unidirectional assessment. In this study, the mathematical knowledge for teaching reasoning and proving of two secondary mathematics teachers was investigated through classroom observations and clinical assessments. Results indicate that using MKT as a frame for examining classroom practice, in addition to assessing the MKT a teacher possesses in a clinical setting, provides an in-depth and innovative method for investigating MKT. The comparison of the two cases also identifies student positioning as a key mediating factor between MKT and opportunities to learn. Implications for using MKT as a lens for examining practice in teacher education are discussed.     

History and the relationship between scientific and pedagogical knowledge: anatomy lectures then and now

In recent years, school science has been the target of increasing critique for two reasons. On the one hand, it is said to enforce ‘epic’ images of science that celebrate the heroes and heroic deeds that established the scientific canon and its methods and thereby falsifies the history and nature of science. On the other hand, the sciences are presented as objective, making factual statements independent of location and time—a claim that runs counter to the current mainstream canon of scientific knowledge as socially and individually constructed. In this article, we suggest that contexts leading to new scientific knowledge make science objective and subjective simultaneously. Our approach, which focuses on the performative dimensions of (school) science, works to overcome the distinctions between knowledge and knowing and the associated distinction between theory and practice. We show the significance of the performative dimension through a comparison of anatomy lectures and texts from the 17^th century and in present-day biology classrooms. We underscore the need to retain and investigate the historical connections between the founding of (scientific) knowledge and its present-day form taught in schools.     

Relationships between student scientific epistemological beliefs and perceptions of constructivist learning environments

This study was conducted to explore the interplay between students’ scientific epistemological beliefs and their perceptions of constructivist learning environments. Through analysing 1,176 Taiwanese tenth-graders’ (16-year-olds) questionnaire responses, this study found that students tended to perceive that actual learning environments were less constructivist orientated than what they preferred. Students having epistemological beliefs more orientated to constructivist views of science (as opposed to empiricist views about science) tended to have a view that actual learning environments did not provide sufficient opportunities for social negotiations (p < 0.01) and prior knowledge integration (p < 0.01); and moreover, they show significantly stronger preferences to learn in the constructivist learning environments where they could (1) interact and negotiate meanings with others (p < 0.001), (2) integrate their prior knowledge and experiences with newly constructed knowledge (p < 0.001) and (3) meaningfully control their learning activities (p < 0.001). The main thrust of the findings drawn from this study indicates that teachers need to be very aware of students’ epistemological orientation towards scientific knowledge, and to complement these preferences when designing learning experiences, especially to provide constructivist-based lessons to enhance science learning for students who are epistemologically constructivist orientated.     

(Un)becoming dysfunctional: ADHD and how matter comes to matter

Various neuropsychiatric disorders are a common feature today, not least in educational contexts where Attention Deficit Hyperactivity Disorder (ADHD) is a common diagnosis. The dominant perspective regarding ADHD is biomedical. This perspective has been questioned and challenged in various ways. The aim of this article is to think ADHD through quantum physicist and philosopher Karen Barad’s [Barad, K. 2007. Meeting the Universe Halfway: Quantum Physics and the Entanglement of Matter and Meaning. Durham, NC: Duke University Press.] theory of agential realism. According to Barad, what we perceive as singular entities do not exist in advance. Barad pays attention to the world’s entanglements, and what we perceive as singular objects and subjects are effects of specific and various material-discursive practices acting as agential cuts. The theory of agential realism assigns performativity to matter, which highlights that ADHD is something that continuously comes into being together with human and non-human bodies. The material dimension has not previously been emphasised as a causal factor in studies on ADHD. In this article, the focus is on the agency of the book. As a conclusion, the importance of taking responsibility for every material-discursive practice with which we are always entangled is emphasised.     

Examining the aesthetic dimensions of teaching: Relationships between teacher knowledge,identity and passion

Having an appreciation for the subject, their students and what the subject can offer their students has both cognitive and emotional dimensions for teachers. This paper uses empirical data to explore the efficacy of a Deweyan inspired framework called “Aesthetic Understanding” to scrutinise relationships between teacher knowledge, identity and passion. The paper uses case study data of three teachers of maths and/or science generated from a video study to illustrate the relationships between the three elements of Aesthetic Understanding. The need to value the aesthetic dimensions of teaching when examining the subject-specific nature of secondary teaching is discussed.     

Deaf pupils' reasoning about scientific phenomena: school science as a framework for understanding or as fragments of factual knowledge

Many studies have been conducted on hearing pupils' understanding of science. Findings from these studies have been used as grounds for planning instruction in school science. This article reports findings from an interview study of how deaf pupils in compulsory school reason about phenomena in a science context. The results reveal that there is variation in the extent to which pupils use scientific principles for reasoning about science phenomena. For some pupils, school science seems to have little to offer as a framework for reasoning. The results also generate questions about the need in school instruction of deaf and hard-of-hearing pupils to consider the specific teaching and learning situations in a deaf environment.     

Mathematics knowledge for understanding and problem solving

Two important aspects of transfer in mathematics learning are the application of mathematical knowledge to problem solving and the acquisition of more advanced concepts, both in mathematics and in other domains. This paper discusses general assumptions and themes of current cognitive research on mathematics learning, focusing on issues of the understanding thought to facilitate transfer of mathematical knowledge. Two studies illustrating these themes are presented, one concerning students' understanding of numerical relationships involved in basic addition and subtraction combinations, the other dealing with students' understanding of algebraic expressions and transformations. Implications of these cognitive perspectives for instruction are discussed.     

Education reform and subject matter knowledge

This article raises the question of what K–12 teachers need to know to teach mathematics and science well. It begins by examining reform proposals for K–12 science and mathematics teaching with an eye toward defining what good teaching practice consists of. It then examines a wide range of literature to delineate the varieties of knowledge that have been associated with this kind of teaching. While the focus is on subject matter knowledge, the article addressed the character of that knowledge rather than the content of that knowledge. Types of knowledge identified in the literature include conceptual understanding of the subject, pedagogical content knowledge, beliefs about the nature of work in science and mathematics, attitudes toward these subjects, and actual teaching practices with students. The literature is incomplete with respect to which of these is relatively more or relatively less important. © 1998 John Wiley & Sons, Inc. J Res Sci Teach 35: 249–263, 1998.     

新“双基”论

基本知识和基本技能是决定人发展的重要基础,而"爱心"和良好的习惯却是决定人发展的根本因素。"爱心"的形成既受自身遗传物质因素的影响,也受着家庭、社会、学校等多方面因素的影响,但教育的影响却是具有主导的作用。良好习惯的培养是一个复杂的过程,既需要充分认识到其重要性,又必须坚持不懈,直到成功。     

Storytelling as dialogue: how teachers construct professional knowledge

This study shows how a group of English language lecturers use storytelling as a form of professional dialogue. The aim of the study is to highlight the dialogic role of storytelling in supporting the construction of lecturers' professional knowledge and not to identify lecturers' professional knowledge. In a professional development project, 12 lecturers created digital stories about their experiences of professional development. These stories were shared with colleagues who then responded with their own digital stories. A narrative framework was used to analyse stories for the types of connections lecturers made between stories. Five dialogic processes were identified: connecting, echoing, developing, questioning and constructing. Excerpts of stories are used to demonstrate how lecturers construct professional knowledge through storytelling. The study concludes by outlining the potential and limitations of storytelling as an approach to professional development and proposes further research into the dialogic capacity of storytelling in a professional development context.     

Constructing inside-ness to physics: how matter comes to matter in physics identity work

Cultural Studies of Science Education - In this paper, I engage with arguments put forth by Anna Günther-Hanssen in her article “A swing and a child: How scientific phenomena can come to...