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1.
Lesson study is highly regarded as a model for professional learning, yet remains under-theorised. This article examines the professional learning experiences of teachers and numeracy coaches from three schools in a local network of schools, participating in a lesson study project over two research cycles in 2012. It maps the interconnections between their experiences and their beliefs and practices, using Clarke and Hollingsworth’s (Teach Educ 18(8):947–967, 2002) Interconnected Model of Professional Growth. Analysis of interview data and video-recordings of planning meetings, research lessons, and post-lesson discussions reveals the development of teachers’ collaborative planning skills, increased attention to students’ mathematical thinking, use of orchestrated whole-class discussion based on anticipated student solutions and focused questioning, and the enhancement of collaborative practices for teacher inquiry. Our findings illuminate the interplay between the External Domain, the Personal Domain, the Domain of Practice, and the Domain of Consequence, in the teaching and learning change environment, and the mediating processes of enactment and reflection. Changes in the domains across the period of the lesson study provide evidence of teachers’ professional growth, with the iterative processes of enactment and reflection being critical in mediating this professional growth. 相似文献
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Jigna Nawani Lena Kotzebue Julia Rixius Michael Graml Birgit J. Neuhaus 《International Journal of Science and Mathematics Education》2018,16(8):1431-1451
This study investigated the effects of teachers’ use of focus questions on students’ knowledge structures and classroom teaching-learning process by re-analyzing selected data from a quasi-experimental pre-post video study (Wadouh, 2007). Focus questions are content-related anchoring questions highlighting the key content taught in individual lessons (Forbes & Davis, 2010). In Wadouh’ study, students answered a knowledge test before and after the lesson on “blood and the circulatory system” and one lesson per teacher was videotaped to investigate teaching practices in grade 9 biology classrooms. Students also completed a post-unit concept mapping exercise and a motivation-interest questionnaire. In this study, 30 lesson videos selected from 47 were re-analyzed for teachers’ use of focus questions—no focus questions, non-specific or simple focus questions, and specific and challenging focus questions. Individual students’ scores in the concept mapping exercise were aggregated as students’ topic-related knowledge structure. Multilevel analyses revealed a significant positive effect of teachers’ use of specific and challenging focus questions on students’ topic-related knowledge structure. Furthermore, a comparative case analysis of the classroom teaching-learning process was conducted in four lessons where teachers used specific and challenging focus questions in two of the lessons and non-specific or simple focus questions in the other two lessons. The findings indicate that specific and challenging focus questions anchored lessons on students’ co-construction of scientific explanations by activating their pre-instructional ideas, whereas non-specific or simple focus questions anchored lessons on their accumulation of canonical scientific knowledge. This study’s limitations and implications for teacher education reform are discussed. 相似文献
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Measuring gifted and talented (GT) students’ perceptions of their GT label might seem to be a relatively straightforward affair. Most of this research uses survey methods that ask GT students to complete Likert scale or open-ended response questionnaires about their perceptions of the label and then presents results in clear and quantifiable terms, such as “X % of students hold positive perceptions of the GT label.” However, our qualitative study of GT students in two middle school social studies classrooms presents findings that not only trouble, but prompt questions about simple proclamations regarding GT students’ perceptions of the GT label. What we found was that given the opportunity to share their thoughts at length, this group of GT students expressed a range of often contradictory perceptions about their GT label. Students expressed multiple interpretations and perceptions of the GT label, as well as both embraced the label and rejected the label. 相似文献
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Qiaoping Zhang Tasos Barkatsas Huk-Yuen Law Yuh-Chyn Leu Wee Tiong Seah Ngai-Ying Wong 《International Journal of Science and Mathematics Education》2016,14(5):907-924
It has become increasingly recognized that what teachers and students value affect teaching and learning in general and in the area of mathematics in particular. Yet, the extent to which this is so varies across cultural regions. In recent years, how the ethnic Chinese teach and learn mathematics has attracted much attention worldwide. It is precisely the purpose of the present study to investigate the value structures of three Chinese regions. Using a recently developed and validated questionnaire, students’ values in mathematics learning in the Chinese Mainland, Hong Kong and Taiwan are delineated. In the first place, the results reveal that there are six dimensions in the students’ value structure, namely achievement, relevance, practice, communication, information and communications technology as well as feedback. However, in each of the six value components derived from the principal components analysis, statistically significant differences between the regions were found. 相似文献
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Dorit Alt 《Learning Environments Research》2017,20(1):99-119
The increasing calls for diversity research signal a need to explore contemporary learning and instruction strategies that respond to diversity in courses and curricula. The major objective of this research was to measure the level of openness to diversity and challenge (ODC) among college students as a function of their perceived constructivist learning environment in traditional lecture-based courses (LBE) and seminars (SM). The study included 243 undergraduate students. Data were gathered using the Constructivist Learning in Higher Education Settings scale (CLHES), which measures students’ perceptions of the occurrence of constructivist practices in learning environments along three dimensions of constructive activity, teacher–student interaction and social activity, and the Openness to Diversity and Challenge scale. Structural equation modelling (SEM) results indicated a positive connection between the general factor of CLHES and ODC over and above several pre-entry variables such as gender and culture. According to a further SEM analysis, the social activity variable mainly explained the ODC variable whereas the teacher–student interaction factor was mainly connected to the constructive activity variable. Multivariate analysis of variance results indicated that students enrolled in SM perceived this environment as more constructivist and reported having higher levels of feelings of ODC than LBE students. Interpretation of these findings, in conjunction with theory, applications, and implications for future research are discussed. 相似文献
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David Guillemette 《Educational Studies in Mathematics》2017,96(3):349-365
In the context of mathematics teachers’ training, the concept of dépaysement épistémologique (epistemological disorientation) emphasizes that the contact with the history of mathematics, particularly with the use of original sources, pushes aside commonplace students’ perspectives about the discipline and offers them a critical look towards mathematics’s historical, social and cultural aspects. Conceptually supported by the theory of objectivation, an emergent sociocultural theory in mathematics education, this study describes the dépaysement épistémologique lived by future mathematics teachers engaged in the reading of historical texts. A phenomenological approach allowed us to clarify various meanings associated with students’ lived experiences and a dialogical perspective provides a way to get these meanings in tension through a polyphonic narration. Our reading of this polyphonic narration suggests that dépaysement épistémologique associated with the reading of historical texts encouraged empathy from students towards the authors and their future learners, opening up the possibility for a nonviolent mathematics education. 相似文献
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Starting with an elementary problem that appeared in the Putnam mathematics competition, we proceed to discuss some techniques of transcendental number theory and prove the following result. If p, q, r are distinct primes and if c is a real number with the property that pc, qc, rc are integers, then c must be a non-negative integer. The tools used are some linear algebra and complex analysis. The zero-density estimate method discussed here was used by Alan Baker to prove his celebrated theorem on linear forms in logarithms. The question as to whether we can replace three primes by two primes is an open question. 相似文献
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In recent years, research on higher education has increasingly examined the realities of internationalisation, with a particular focus on international students’ experiences and internationalisation at home programs. These studies have explored the friendships of international students, including their relationships with both locals and internationals from other countries. However, local students’ perspectives and experiences of friendship are largely absent from this literature. The few accounts examining local students’ lives explicitly focus on improving their cross-cultural knowledge and engagement, or on rare cases of local–international student friendships. The overriding assumption in this literature is that the understandings and social practises of local students are major barriers to their relationships with internationals. This paper addresses this gap by exploring local students’ perspectives on the absence of friendships with their international peers. We utilise findings from a research project on internationalisation at home, involving interviews and focus groups with local and international students and staff at an Australian university. Focusing on locals’ discussions of potential friendships with internationals, we propose that these missing friendships are an important area of study. We find that these friendships are missing for several interrelated reasons: local–international friendships are considered unnecessary and are therefore unimagined by locals, who tend to assume that similarity and affinity naturally lead to friendships, and the structures and spaces that might facilitate friendships are absent. Ultimately, uncovering why these friendships are missing sheds fuller light on how relationships might be facilitated, potentially informing and improving universities’ internationalisation initiatives. 相似文献
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Colby Hall Garrett J. Roberts Eunsoo Cho Lisa V. McCulley Megan Carroll Sharon Vaughn 《Educational Psychology Review》2017,29(4):763-794
This meta-analysis synthesizes the last two decades of experimental and quasi-experimental research on reading instruction across academic contexts (e.g., social studies, science, mathematics, English language arts) for English learners (ELs) in grades 4 through 8, to determine (a) the overall effectiveness of reading instruction for upper elementary and middle school students who are ELs and (b) how the magnitude of the effect varies based on student, instructional, and study characteristics. The analysis included a total of 11 studies with 46 individual effect sizes and yielded a mean effect size of g?=?0.35 across all (i.e., standardized and unstandardized) reading measures, g?=?0.01 across standardized reading measures, and g?=?0.43 across unstandardized reading measures. For all reading, unstandardized reading, all vocabulary, and unstandardized vocabulary measures, results suggest that higher quality studies tended to have smaller effects, and these effects were even more evident for unstandardized measures (i.e., one unit increase in study quality was associated with decreased effects: g?=?0.21, g?=?0.30, g?=?0.24, g?=?0.30, respectively). For all comprehension measures, effects were larger for instruction that included both vocabulary and comprehension (g?=?0.39) than for instruction that focused on vocabulary alone (g?=?0.08). Results suggest the benefit of developing and refining high-impact approaches to reading instruction for ELs that can be delivered across content areas and grades. 相似文献
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Silvia Wen-Yu Lee 《International Journal of Science and Mathematics Education》2018,16(8):1409-1430
The purpose of this study was, first, to understand the item hierarchy regarding students’ understanding of scientific models and modeling (USM). Secondly, this study investigated Taiwanese students’ USM progression from 7th to 12th grade, and after participating in a model-based curriculum. The questionnaire items were developed based on 6 aspects of USM, namely, model type, model content, constructed nature of models, multiple models, change of models, and purpose of models. Moreover, 10 representations of models were included for surveying what a model is. Results show that the purpose of models and model type items covered a wide range of item difficulties. At the one end, items for the purpose of models are most likely to be endorsed by the students, except for the item “models are used to predict.” At the other end, the “model type” items tended to be difficult. The students were least likely to agree that models can be text, mathematical, or dynamic. The items of the constructed nature of models were consistently located above the average, while the change of models items were consistently located around the mean level of difficulty. In terms of the natural progression of USM, the results show significant differences between 7th grade and all grades above 10th, and between 8th grade and 12th grade. The students in the 7th grade intervention group performed better than the students in the 7th and 8th grades who received no special instruction on models. 相似文献
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Lida J. Uribe-Flórez Jesse L. M. Wilkins 《International Journal of Science and Mathematics Education》2017,15(8):1541-1557
Using data from the Early Childhood Longitudinal Study (ECLS) 1998/1999, we examine the relationship between elementary students’ (K–5) manipulative use and mathematics learning. Using a cross-sectional correlational analysis, we found no relationship between manipulative use and student mathematics achievement. However, using a longitudinal analysis, we documented a positive relationship between manipulative use and student mathematics learning during their elementary school years (K–5). From a teaching and learning perspective, these findings provide important evidence of the influence of long-term manipulative use on students’ overall learning. From policy and methodological perspectives, these findings provide evidence for the importance of modeling student learning (as opposed to achievement) when studying the effectiveness of instructional strategies. 相似文献
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Sara A. Schmitt Kendra M. Lewis Robert J. Duncan Irem Korucu Amy R. Napoli 《Early Childhood Education Journal》2018,46(1):141-151
Children from low-income families are at greater risk for poor social–emotional development and physical health and may be in need of intervention. This study examined the extent to which the Positive Action (PA) preschool lessons improved low-income children’s social–emotional competence and health behaviors. Mixed findings emerged with regard to whether the lessons facilitated growth in child outcomes. Results showed positive effects of PA on children’s directly assessed social problem solving skills and their parent-rated social–emotional competence and health behaviors. Unexpectedly, program effects on teacher ratings of social–emotional competence were in the opposite direction. These findings provide preliminary evidence that PA may be effective in promoting positive social–emotional and health behavior outcomes for children, particularly when outcomes are assessed directly and by parents. 相似文献
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In this paper, we draw on the contemporary perspective of inclusive materialism offered by de Freitas and Sinclair to contribute to current discussions on the role of the body in the learning of mathematics. Using the notions of distributed agency and assemblage, we illustrate the way in which three students engage with a patterning task. We discuss this as an example to show how the mathematics activity involves, besides the students’ bodies, other materialities that populate the classroom, and how all the human and non-human bodies form a moving assemblage that constantly reconfigures and reorients learning. The inclusive materialism helps us talk about learning as a dynamic assemblage rather than in terms of individual achievements and directs attention to the material learning environment. 相似文献
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This article describes two heuristic strategies for problem solving: the use of false assumption strategy and the use of double false assumption strategy. Both of these strategies have their roots deep in history. In this article, we define these two strategies and illustrate their use in a problem developed by Frances Pellos. The article provides an overview of occurrences of these two strategies in various mathematical and educational texts. The texts show clearly that both of these strategies played a significant role in mathematics education in the past. We present some examples from concrete historical documents, which we use later for the preparation of a teaching experiment. We also present the conclusions of an experiment conducted on three lower secondary schools in the Czech Republic, the goal of which was to test the applicability of the use of false assumption strategy as a propaedeutic to solving word problems using equations. 相似文献
17.
Adela Baird Janet Laugharne Eva Maagerø Elise Seip Tønnessen 《Children‘s Literature in Education》2016,47(1):1-17
Children as readers of picture books and the ways they respond to, and make meaning from, such texts are the focus of this article, which reports on a small-scale study undertaken in Norway and Wales, UK. The theoretical framing of the research draws on concepts of the multimodal ensemble in picture books and of the reading event as part of a social practice. The research design was developed from the team’s analysis of two texts, Pappa by Svein Nyhus (1998) and What does Daddy Do? by Rachel Bright (2009). Twenty-four children, who were 7 and 8 years old, took part in the study. This was built around two reading events for each book, staged as an immediate response and as a guided response. The data subsequently collected were analysed according to three overarching organisational principles, as book world, real world and play world. For both Daddy and Pappa, the first reading event showed the children’s responses were mainly directed towards exploring the book world. On the second reading event, references to the real world predominated for Daddy, while for Pappa the book world was again dominant. Across both reading events and for both books, the playworld revealed those occasions when the children expanded the meaning of the story, demonstrating an inventive ability to play with the text. Overall, the children’s responses moved fluidly across the three worlds, showing them to be energetically making connections between the reading, their experience of books and their own lives. 相似文献
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Sarah Gentrup Camilla Rjosk Petra Stanat Georg Lorenz 《Zeitschrift für Erziehungswissenschaft》2018,21(4):867-891
Several studies have shown that teachers’ achievement expectations for their students may be biased to some extent by students’ ethnic or social background as well as gender. The present study investigates whether these biases in teachers’ expectations of students’ performance in early language and mathematics are partly explained by differences in teachers’ perceptions of students’ motivation and learning behaviour. The analyses are based on data from a sample of N?=?901 first-grade students from N?=?66 classrooms with 69 teachers. The results support the hypothesis for biases associated with social background and gender. Ethnic bias, however, occurred independently of differences in perceived motivation and learning behaviour. We discuss the relevance of stereotypical assumptions for teaching as well as educational disparities. 相似文献
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Hyman Bass 《Educational Studies in Mathematics》2017,95(3):229-244
Mathematicians commonly distinguish two modes of work in the discipline: Problem solving, and theory building. Mathematics education offers many opportunities to learn problem solving. This paper explores the possibility, and value, of designing instructional activities that provide supported opportunities for students to learn mathematics theory-building practices. It begins by providing a definition of these theory-building practices on the basis of which to formulate principles for the design of such instructional activities. The paper offers theoretical arguments that theory-building practices serve not only the synthesizing role that they play in disciplinary mathematics, but they also have the potential to enrich learners’ reasoning powers and enhance their problem solving skills. Examples of problem sets designed for this purpose are provided and analyzed. 相似文献