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1.
Increasingly, students are expected to write about mathematics. Mathematics writing may be informal (e.g., journals, exit slips) or formal (e.g., writing prompts on high-stakes mathematics assessments). In order to develop an effective mathematics-writing intervention, research needs to be conducted on how students organize mathematics writing and use writing features to convey mathematics knowledge. We collected mathematics-writing samples from 155 4th-grade students in 2 states. Each student wrote about a computation word problem and fraction representations. We compared mathematics-writing samples to a norm-referenced measure of essay writing to examine similarities in how students use writing features such as introductions, conclusions, paragraphs, and transition words. We also analyzed the mathematics vocabulary terms that students incorporated within their writing and whether mathematics computation skills were related to the mathematics vocabulary students used in writing. Finally, we coded and described how students used mathematics representations in their writing. Findings indicate that students use organizational features of writing differently across the norm-referenced measure of essay writing and their mathematics writing. Students also use mathematics vocabulary and representations with different levels of success. Implications for assessment, practice, and intervention development are discussed.  相似文献   

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Abstract. This article presents three in‐depth case studies focused on supporting students with learning challenges to learn math strategically. Participants were three eighth‐grade students enrolled in a learning assistance classroom who were of at least average intelligence but who were performing significantly below grade level in mathematics. These case studies document the processes by which these students were supported to self‐regulate their learning in mathematics more effectively. We begin by outlining important instructional foci in mathematics education for intermediate or secondary students with learning disabilities, along with what research indicates are effective instructional processes. In that context, we introduce the theoretical principles underlying the instructional model used here—Strategic Content Learning (SCL). Based on analyses of case study data, we describe how SCL instruction was structured to promote strategic learning. Throughout the discussion, intervention processes are described in sufficient detail to be of use to practitioners.  相似文献   

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Rooted in feminist philosophy, critical race theory, and participatory action research (PAR), I partnered with four faculty and four students at an elite, private, college preparatory day school for boys in order to examine bullying. In this article I closely examine the role of language and discourse when conducting counter hegemonic research with people who are predominantly privileged and within institutions designed to reproduce those privileges. I briefly describe the co-construction of our theory and instrument to illustrate that our close attention to language in regards to bullying both helped us understand our work and changed how we went about conducting the study. I describe how our strategic use of language to broadly define bullying helped us capture interesting data and interrupt power. And finally, I discuss our political use of language to others and suggest that while it paved a safer space for us to conduct our work it also may have restricted our work from having the power to resist co-optation and promote sustainable, systemic change.  相似文献   

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This paper reports on our use of a two-phased, feminist memory work in a project conducted with 11 women, social science students at an Australian university. We begin by describing government-led attempts to widen participation in Australian universities because 10 of the 11 women who participated in our project were from non-traditional backgrounds. We discuss qualitative group research, identifying some of the benefits and limitations of focus groups, before differentiating them from feminist memory work and analysing key findings. Using excerpts from participants’ written stories and oral discussions, we analyse some of the obstacles the women faced trying to complete their studies. Our attention then turns to methodological concerns where we examine memory work as a feminist inquiry method. As second-wave feminists understood several decades ago through their use of consciousness-raising groups, we describe how we derived many benefits from using feminist memory work. The method invites deep reflection on the intersections between the personal and political and can be productive of insights about how people feel, not just think, about their experiences. A sense of solidarity can stem from this awareness amongst participants who have a chance to workshop and thus reinterpret their own stories and those of others, which can mean a growth in self-confidence and a reduction in self-blame.  相似文献   

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The authors argue that some diagrams in biology textbooks and the popular press presented as depicting evolutionary relationships suggest an inappropriate (anagenic) conception of evolutionary history. The goal of this research was to provide baseline data that begin to document how college students conceptualize the evolutionary relationships depicted in such noncladogenic diagrams and how they think about the underlying evolutionary processes. Study 1 investigated how students (n = 50) interpreted the evolutionary relationships depicted in four such evolutionary diagrams. In Study 2, new students (n = 62) were asked to interpret what the students in Study 1 meant when they used the terms evolved into/from and ancestor/descendant of. The results show the interpretations fell broadly into two categories: (a) evolution as an anagenic rather than cladogenic process, and (b) evolution as a teleological (purpose‐driven) process. These results imply that noncladogenic diagrams are inappropriate for use in evolution education because they lead to the misinterpretation of many evolutionary processes. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 47:861–882, 2010  相似文献   

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In recent years, there has been a strong push to transform STEM education at K-12 and collegiate levels to help students learn to think like scientists. One aspect of this transformation involves redesigning instruction and curricula around fundamental scientific ideas that serve as conceptual scaffolds students can use to build cohesive knowledge structures. In this study, we investigated how students use mass balance reasoning as a conceptual scaffold to gain a deeper understanding of how matter moves through biological systems. Our aim was to lay the groundwork for a mass balance learning progression in physiology. We drew on a general models framework from biology and a covariational reasoning framework from math education to interpret students' mass balance ideas. We used a constant comparative method to identify students' reasoning patterns from 73 interviews conducted with undergraduate biology students. We helped validate the reasoning patterns identified with >8000 written responses collected from students at multiple institutions. From our analyses, we identified two related progress variables that describe key elements of students' performances: the first describes how students identify and use matter flows in biology phenomena; the second characterizes how students use net rate-of-change to predict how matter accumulates in, or disperses from, a compartment. We also present a case study of how we used our emerging mass balance learning progression to inform instructional practices to support students' mass balance reasoning. Our progress variables describe one way students engage in three dimensional learning by showing how student performances associated with the practice of mathematical thinking reveal their understanding of the core concept of matter flows as governed by the crosscutting concept of matter conservation. Though our work is situated in physiology, it extends previous work in climate change education and is applicable to other scientific fields, such as physics, engineering, and geochemistry.  相似文献   

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An exploratory study of the efficacy of The Word Within the Word tested students’ abilities to recognize, use, and recall vocabulary. Ten middle school teachers and their 493 students participated. Five teachers used The Word Within the Word, and five used traditional vocabulary materials. Students completed an out-of-level sentence completion test and a test of prompted vocabulary recall. Analysis of sentence completion data revealed significant differences with moderate effect sizes, favoring students in The Word Within the Word sixth- and seventh-grade classes. Analysis of prompted vocabulary recall data revealed significant differences with moderate to large effect sizes at all grade levels, favoring The Word Within the Word classes. Results suggest that in this case, both gifted and typically developing students in classrooms using The Word Within the Word were more skilled in vocabulary recognition, use, and recall than students in classrooms using traditional methods of vocabulary instruction.  相似文献   

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In this paper we address practical questions such as: How do symbols appear and evolve in an inquiry-oriented classroom? How can an instructor connect students with traditional notation and vocabulary without undermining their sense of ownership of the material? We tender an example from linear algebra that highlights the roles of the instructor as a broker, and the ways in which students participate in the practice of symbolizing as they reinvent the diagonalization equation A = PDP?1.  相似文献   

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Too difficult, too abstract, too theoretical – many first-year engineering students complain about their mathematics courses. The project MathePraxis aims to resolve this disaffection. It links mathematical methods as they are taught in the first semesters with practical problems from engineering applications – and thereby shall give first-year engineering students a vivid and convincing impression of where they will need mathematics in their later working life. But since real applications usually require more than basic mathematics and first-year engineering students typically are not experienced with construction, mensuration and the use of engineering software, such an approach is hard to realise. In this article, we show that it is possible. We report on the implementation of MathePraxis at Ruhr-Universität Bochum. We describe the set-up and the implementation of a course on designing a mass damper which combines basic mathematical techniques with an impressive experiment. In an accompanying evaluation, we have examined the students' motivation relating to mathematics. This opens up new perspectives how to address the need for a more practically oriented mathematical education in engineering sciences.  相似文献   

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Inquiry instruction often neglects graphing. It gives students few opportunities to develop the knowledge and skills necessary to take advantage of graphs, and which are called for by current science education standards. Yet, it is not well known how to support graphing skills, particularly within middle school science inquiry contexts. Using qualitative graphs is a promising, but underexplored approach. In contrast to quantitative graphs, which can lead students to focus too narrowly on the mechanics of plotting points, qualitative graphs can encourage students to relate graphical representations to their conceptual meaning. Guided by the Knowledge Integration framework, which recognizes and guides students in integrating their diverse ideas about science, we incorporated qualitative graphing activities into a seventh grade web-based inquiry unit about cell division and cancer treatment. In Study 1, we characterized the kinds of graphs students generated in terms of their integration of graphical and scientific knowledge. We also found that students (n = 30) using the unit made significant learning gains based on their pretest to post-test scores. In Study 2, we compared students' performance in two versions of the same unit: One that had students construct, and second that had them critique qualitative graphs. Results showed that both activities had distinct benefits, and improved students' (n = 117) integrated understanding of graphs and science. Specifically, critiquing graphs helped students improve their scientific explanations within the unit, while constructing graphs led students to link key science ideas within both their in-unit and post-unit explanations. We discuss the relative affordances and constraints of critique and construction activities, and observe students' common misunderstandings of graphs. In all, this study offers a critical exploration of how to design instruction that simultaneously supports students' science and graph understanding within complex inquiry contexts.  相似文献   

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Understanding academic vocabulary is essential to student success in school. Use of academic vocabulary words in writing is considered one of the strongest measures of how well a reader understands a given word. In theory, willingness to use academic vocabulary in writing indicates the complexity of acquiring representations of the word’s orthography, phonology, and semantics based on the word’s characteristics. In addition, a learner’s overall literacy skills should relate to whether they attempt to use words. In the present study, sixth graders (n = 66), seventh graders (n = 60), and eighth graders (n = 41) learned 25 academic vocabulary words in a supplementary academic vocabulary intervention and were then asked to use those words in short persuasive essay drafts. We measured whether these students attempted to use a word (a binary uses outcome) and the number of times a student used a word (a continuous attempts outcome) and used cross-classified random effects models to examine how (a) the orthographic, phonological, and semantic characteristics of words and (b) the students’ literacy-related characteristics related to their uses and attempts. For word characteristics, students were more likely to use and attempt high frequency than low frequency words. For student characteristics, students proficient on the state exam were more likely to use and attempt the words, and students learning English were less likely to attempt the words. Implications for vocabulary intervention and writing instruction are discussed.  相似文献   

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This qualitative, multi-case study explored the use of science-content music for teaching and learning in six middle school science classrooms. The researcher sought to understand how teachers made use of content-rich songs for teaching science, how they impacted student engagement and learning, and what the experiences of these teachers and students suggested about using songs for middle school classroom science instruction. Data gathered included three teacher interviews, one classroom observation and a student focus-group discussion from each of six cases. The data from each unit of analysis were examined independently and then synthesized in a multi-case analysis, resulting in a number of merged findings, or assertions, about the experience. The results of this study indicated that teachers used content-rich music to enhance student understanding of concepts in science by developing content-based vocabulary, providing students with alternative examples and explanations of concepts, and as a sense-making experience to help build conceptual understanding. The use of science-content songs engaged students by providing both situational and personal interest, and provided a mnemonic device for remembering key concepts in science. The use of songs has relevance from a constructivist approach as they were used to help students build meaning; from a socio-cultural perspective in terms of student engagement; and from a cognitive viewpoint in that in these cases they helped students make connections in learning. The results of this research have implications for science teachers and the science education community in developing new instructional strategies for the middle school science classroom.  相似文献   

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We present results of an investigation of university students' development of mathematical models of motion in a physical science course for preservice teachers and graduate students in science and mathematics education. Although some students were familiar with the standard concepts of position, velocity, and acceleration from physics classes, most students had difficulty using these concepts to characterize actual or hypothetical motions. Furthermore, some students developed their own nonstandard method of describing accelerated motion in terms of changes in the average velocity, from the start of the motion up to a given time. This is in contrast to the physics community's use of the acceleration construct, defined in terms of changes in the instantaneous velocity, to describe such motion. Although the change in average velocity is not typically identified as an important construct in traditional physics texts, some students found it intuitively appealing, and were able to use it successfully to describe and predict motion. We conclude that by focusing on standard constructs, and ignoring possible intuitive ways that students might view motion, standard kinematics instruction may miss an opportunity to maximize student understanding. © 2007 Wiley Periodicals, Inc. J. Res. Sci. Teach 45: 153–173, 2008.  相似文献   

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This study investigated the relation between teachers’ (N = 22) use of sophisticated and complex language in urban middle‐school classrooms and their students’ (mean age at pretest = 11.51 years; N = 782; 568 language minority and 247 English only) vocabulary knowledge. Using videotaped classroom observations, teachers’ speech was transcribed and coded for their total amount of talk, vocabulary usage, and syntactic complexity. Students’ vocabulary skills were assessed at the beginning and end of the school year. Results showed variation in students’ vocabulary skills and teachers’ language use. Hierarchical linear modeling techniques revealed that after controlling for classroom and school composition and students’ beginning‐of‐the‐year scores, students’ end‐of‐the‐year vocabulary skills were positively related to teachers’ use of sophisticated vocabulary and complex syntax, but not teachers’ total amount of talk.  相似文献   

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In one experiment, we explored how high school students use hyperlink relevance cues while they navigate to answer questions from hypertexts. Current evidence has shown that students may navigate by either performing a deep semantic analysis of the relationship between the question and the existing hyperlinks, or by matching words in the question to words in the hyperlink labels. We focused on how students combine both cues during navigation, and how comprehension skills relate to the use of such cues. Our study revealed that 14 year old students (N = 53) selected hyperlinks by relying to a similar degree on both word matching and semantic overlap. Furthermore, when there was a conflict between an irrelevant link cued via word matching and a relevant link only cued through semantic overlap, students’ comprehension skills facilitated their initial selection of an informative relevant link. To conclude, we discuss the implications of these results for current models of hypertext navigation.  相似文献   

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Recent evaluations of the state of higher education have suggested that students must not only learn subject matter content but must be able to think with it. Professors in tertiary education expect that their students will come equipped to handle certain kinds of information and certain kinds of learning tasks. To describe their expectations, faculty use phrases such as the ability to think logically, or to do independent work, or to use abstract terms. But to what extent do they suppose that their students will be able to think? In a study of some learning tasks in the university, professors from three universities and six different disciplines, representatives of the natural sciences, the social sciences, and the humanities, pure and applied, were interviewed. Faculty expectations of students’ ability to think logically, independently, and abstractly were analysed to show consistencies and differences across disciplines.  相似文献   

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We tested whether urban middle-school students from mostly low-income homes had improved academic vocabulary when they participated in a freely available vocabulary program, Word Generation (WG). To understand how this program may support students at risk for long-term reading difficulty, we examined treatment interactions with baseline achievement on a state standardized test and also differential effects for students with (n = 398) and without (n = 1,395) individualized education plans (IEPs). Students in this unmatched quasi-experiment (5 WG and 4 comparison schools) completed pre- and postvocabulary assessments during the intervention year. We also retested student vocabulary knowledge after summer vacation and the following spring on 11 target words to construct a longitudinally consistent scaled score across 4 waves of data. Growth models show that students experienced summer setback. Although there were no average underlying differences in growth or differences in summer setback for students by baseline achievement, better readers improved more from program participation. IEP status did not predict differential benefits of program participation, and students with IEPs maintained gains associated with participation in WG; however, participation in the program did not change underlying growth trajectories favoring students who did not have IEPs.  相似文献   

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