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1.
To learn content knowledge in science, technology, engineering, and math domains, students need to make connections among visual representations. This article considers two kinds of connection-making skills: (1) sense-making skills that allow students to verbally explain mappings among representations and (2) perceptual fluency in connection making that allows students to fast and effortlessly use perceptual features to make connections among representations. These different connection-making skills are acquired via different types of learning processes. Therefore, they require different types of instructional support: sense-making activities and fluency-building activities. Because separate lines of research have focused either on sense-making skills or on perceptual fluency, we know little about how these connection-making skills interact when students learn domain knowledge. This article describes two experiments that address this question in the context of undergraduate chemistry learning. In Experiment 1, 95 students were randomly assigned to four conditions that varied whether or not students received sense-making activities and fluency-building activities. In Experiment 2, 101 students were randomly assigned to five conditions that varied whether or not and in which sequence students received sense-making and fluency-building activities. Results show advantages for sense-making and fluency-building activities compared to the control condition only for students with high prior chemistry knowledge. These findings provide new insights into potential boundary conditions for the effectiveness of different types of instructional activities that support students in making connections among multiple visual representations.  相似文献   

2.
Meaning-making and sense-making are generally assumed to be part of students’ personal vocational knowledge development, since they contribute to both students’ socialisation in a vocation and students’ personalisation of concepts, values and beliefs regarding that vocation. However, how students in vocational education acquire meaning and make sense of vocational knowledge is not explained. Furthermore, examples of what these processes entail in the context of vocational education are lacking. A multiple case study was performed to explore students’ meaning-making and sense-making in classroom interactions in Dutch senior secondary vocational education. Our results show that meaning-making is a process in which students interpret vocational knowledge by explicating and clarifying this knowledge. Sense-making is perceived to be a process in which students concretise vocational knowledge by testing and justifying this knowledge. A research model was developed to describe how students make meaning and sense of vocational knowledge in interaction with practitioners.  相似文献   

3.
Prior research shows that representational competencies that enable students to use graphical representations to reason and solve tasks is key to learning in many science, technology, engineering, and mathematics domains. We focus on two types of representational competencies: (1) sense making of connections by verbally explaining how different representations map to one another, and (2) perceptual fluency that allows students to fast and effortlessly use perceptual features to make connections among representations. Because these different competencies are acquired via different types of learning processes, they require different types of instructional support: sense-making activities and fluency-building activities. In a prior experiment, we showed benefits for combining sense-making activities and fluency-building activities. In the current work, we test how to combine these two forms of instructional support, specifically, whether students should first work on sense-making activities or on fluency-building activities. This comparison allows us to investigate whether sense-making competencies enhance students’ acquisition of perceptual fluency (sense-making-first hypothesis) or whether perceptual fluency enhances students’ acquisition of sense-making competencies (fluency-first hypothesis). We conducted a lab experiment with 74 students from grades 3–5 working with an intelligent tutoring system for fractions. We assessed learning processes and learning outcomes related to representational competencies and domain knowledge. Overall, our results support the sense-making-first hypothesis, but not the fluency-first hypothesis.  相似文献   

4.
Process diagrams describe how a system functions (e.g. photosynthesis) and are an important type of representation in Biology education. In the present study, we examined students’ learning activities while studying process diagrams, related to their resulting comprehension of these diagrams. Each student completed three learning tasks. Verbal data and eye-tracking data were collected as indications of students’ learning activities. For the verbal data, we applied a fine-grained coding scheme to optimally describe students’ learning activities. For the eye-tracking data, we used fixation time and transitions between areas of interest in the process diagrams as indices of learning activities. Various learning activities while studying process diagrams were found that distinguished between more and less successful students. Results showed that between-student variance in comprehension score was highly predicted by meaning making of the process arrows (80%) and fixation time in the main area (65%). Students employed successful learning activities consistently across learning tasks. Furthermore, compared to unsuccessful students, successful students used a more coherent approach of interrelated learning activities for comprehending process diagrams.  相似文献   

5.
Internationally, there has been a policy push for using student data for instruction. Yet, research has noted few examples of actually understanding how this data-use practice takes place. This study presents a case of an instructional data team making sense of student data. The study shares data to show how teachers’ process for using data to inform their instructional choices is an interpretive one. The study also highlights the fact that, to make sense of test data that are often incapable of capturing backstories of students’ work in school, teachers draw upon informal data that they glean from their observations of and interactions with students. The collective data in the heads of teachers emerge through data team discussions. We conclude with implications for policy, professional learning, and teacher development.  相似文献   

6.
Structure sense: The relationship between algebraic and numerical contexts   总被引:1,自引:0,他引:1  
Several researchers suggest that students' difficulties with the algebraic structure are in part due to their lack of understanding of structural notions in arithmetic. They assume that the algebraic system used by students inherits structural properties associated with the number system with which students are familiar. This study explored this assumption. In an attempt to discover whether wrong interpretations of the algebraic structure found in an algebraic context occur in a purely numerical one, we interviewed 53 sixth-graders individually. The assessment confirms the assumption: students' difficulties with the algebraic structure were found in purely numerical contexts. However, the study also confirms two, seemingly, contradictory observations. On the one hand, the students' interpretations of the structures of the expressions were very consistent; that is, the same tendencies were found in many students' answers. In this sense the students' behaviour was consistent. On the other hand, it was clearly observed that the same student may give an incorrect answer in one context and a correct answer in another. In this sense, it often seemed that the students were inconsistent.This revised version was published online in September 2005 with corrections to the Cover Date.  相似文献   

7.
8.
As attention to the development of algebraic understandings at early grade levels increases, theory and empirical support for these efforts are needed. This paper outlines a theoretical perspective for studying student understandings of mathematical operations, with a particular focus on addition. The notion of operation sense is defined using a perspective that incorporates the construction of mental objects. In the context of addition, it is argued that operation sense can be used to describe student development of additive concepts as well as transitions into algebraic ways of thinking. The report of a case study on the development of a young boy is then provided. The investigation attempts to instantiate the framework in regard to student development of an understanding of addition. Evidence was found that his attainment of aspects of operation sense supported transitions into algebraic ways of thinking, including a finite group setting and use of addition on unknown and arbitrary quantities. Limitations of the framework are discussed. This revised version was published online in August 2006 with corrections to the Cover Date.  相似文献   

9.
Student engagement in academic activities is a critical factor contributing to the overall success of students studying in higher education institutions. Yet the factors influencing student engagement in academic activities are still largely unknown. This study begins to address this knowledge gap by investigating the influence of student connectedness (relationships with peers and teachers), motivation to study (sense of purpose) and perception of workload upon student engagement in academic activities. During 2015, a total of 209 students responded to a survey distributed to first-year undergraduate students enrolled in a university business school in Queensland, Australia. Structural equation modelling was used to investigate the proposed relationships. Results suggest that student-student (peer) relationships, teacher-student relationships, and students’ sense of purpose for studying a higher education degree, were central to student engagement in academic activities. In addition, teacher-student relationships, and a strong sense of purpose were central to perceptions of student workloads. Finally, sense of purpose was found to moderate the relationship between both teacher-student and student-student relationships and also, perceptions of workload and student engagement. The findings from this study support the importance of developing effective teacher-student relationships, facilitating positive student-student relationships and communicating a clear sense of purpose to students, so as to improve their engagement in academic activities and optimise perceptions of workloads.  相似文献   

10.
The mathematics curriculum often provides for relatively few mathematical thinking problems or non-routine problems that focus on a deepening of understanding mathematical concepts and the problem-solving process. To develop such problems, methods are required to evaluate their suitability. The purpose of this preliminary study was to find such an evaluation method by including mathematical sense making and global planning. Eighteen 11th-grade high-school students, divided into three groups of three pairs, solved six mathematical thinking problems that included the finding of a numeric solution and the writing of mathematical texts and arguments. Content analysis of the students’ solution procedures provided for three kinds of hierarchically ordered mathematical sense-making categories. The results showed the expected statistically significant difference between the kinds of problems, though only mathematical sense making enabled the exclusion of the routine problem. The implications for practice are discussed.  相似文献   

11.
12.
This study examines eighth grade students’ use of a representational metaphor (cups and tiles) for writing and solving equations in one unknown. Within this study, we focused on the obstacles and difficulties that students experienced when using this metaphor, with particular emphasis on the operations that can be meaningfully represented through this metaphor. We base our analysis within a framework of referential relationships of meanings (Kaput 1991; Kaput, Blanton, and Moreno, et al. 2008). Our data consist of videotaped classroom lessons, student interviews, and teacher interviews. Ongoing analyses of these data were conducted during the teaching sequence. A retrospective analysis, using constant comparison methodology, was then undertaken in order to generate a thematic analysis. Our results indicate that addition and (implied) multiplication operations only are the most meaningful with these representational models. Students also very naturally came up with a notation of their own in making sense of equations involving multiplication and addition. However, only one student was able to construct a “family of meanings” when negative quantities were involved. We conclude that quantitative unit coordination and conservation are necessary constructs for overcoming the cognitive dissonance (between the two representations—drawn pictures and the algebraic equation) experienced by students and teacher.  相似文献   

13.
In this study, we explored the relationship between prospective teachers’ algebraic thinking and the questions they posed during one-on-one diagnostic interviews that focused on investigating the algebraic thinking of middle school students. To do so, we evaluated prospective teachers’ algebraic thinking proficiency across 125 algebra-based tasks and we analyzed the characteristics of questions they posed during the interviews. We found that prospective teachers with lower algebraic thinking proficiency did not ask any probing questions. Instead, they either posed questions that simply accepted and affirmed student responses or posed questions that guided the students toward an answer without probing student thinking. In contrast, prospective teachers with higher algebraic thinking proficiency were able to pose probing questions to investigate student thinking or help students clarify their thinking. However, less than half of their questions were of this probing type. These results suggest that prospective teachers’ algebraic thinking proficiency is related to the types of questions they ask to explore the algebraic thinking of students. Implications for mathematics teacher education are discussed.  相似文献   

14.
学习心理学认为,学生学习英语的过程,是以学生的整体心理活动为基础的英语认知活动和情智活动不断相互统一的过程。在学习过程中,每个学生个体都具有独特的情感体验。因此,在英语教学过程中要加强学生学习情感的培养与激发,以境激情、以知育情、以情生情、以情优教,从而达到学生对英语的有效学〉--j。  相似文献   

15.
Science learning environments should provide opportunities for students to make sense of and enhance their understanding of disciplinary concepts. Teachers can support students’ sense-making by engaging and responding to their ideas through high-leverage instructional practices such as formative assessment (FA). However, past research has shown that teachers may not understand FA, how to implement it, or have sufficient content knowledge to use it effectively. Few studies have investigated how teachers gather information to evaluate students’ ideas or how content knowledge factors into those decisions, particularly within the life science discipline. We designed a study embedded in a multi-year professional development program that supported elementary teachers’ development of disciplinary knowledge and FA practices within science instruction. Study findings illustrate how elementary teachers’ life science content knowledge influences their evaluation of students’ ideas. Teachers with higher levels of life science content knowledge more effectively evaluated students’ ideas than teachers with lower levels of content knowledge. Teachers with higher content exam scores discussed both content and student understanding to a greater extent, and their analyses of students’ ideas were more scientifically accurate compared to teachers with lower scores. These findings contribute to theory and practice around science teacher education, professional development, and curriculum development.  相似文献   

16.
There are two competing stereotypes of gifted students: harmony theory (gifted students are well adjusted and successful in life) and disharmony theory (giftedness forms a threat to a harmonious development). In this context, the PISA 2012 data were used to explore middle-school students’ experiences in terms of sense of belonging, student–teacher relations and attitudes toward school concerning learning activities/outcomes. Fifteen-year-old students from 13 European countries were selected for this data-set (normative = 79,550, gifted = 1956). Student’s scores on the four scales were tested for significant differences with students from that same country. Tests revealed no significant differences for 55% of the comparisons, 40% of comparisons had positive effect sizes for gifted students, and 4% had negative effect sizes. The evidence presented in this study supports the existence of harmony theory. More specifically, the vast majority of gifted students in this study reported equal or higher level of belonging. Contained within the findings in this study on students’ to the sense of belonging is a lack of evidence of gifted students reporting higher levels of loneliness. These findings strongly reflect the Terman’s assertion almost a century ago stating the lack of gifted children tending to be more socially maladjusted.  相似文献   

17.
Gao  Lei  Mun  Kongju  Kim  Sung-Won 《Research in Science Education》2019,51(2):935-956

The premise of our study is that emotional competence (EC) serves as a foundational contributor to the achievement of science education goals in the context of socioscientific issues (SSIs). EC is a set of abilities necessary to accomplish adaptive goals in emotionally arousing situations. We contend that the development of EC is conducive to learning and character development in the SSI context. Therefore, we set out to develop and implement an EC intervention SSI program (called EC-SSI) and to verify the program’s effect on students’ EC, and “character and values.” We developed a nine-lesson program using two SSI scenarios: the Coltan mining problem and a designer baby dilemma. We collected data using questionnaires and student worksheets from 26 tenth graders and applied a mixed method approach to data gathering and analysis. We found that the program significantly improved students’ EC and “character and values.” From these results, we conclude that instructional strategies to improve students’ EC can be applied in SSI instruction and can positively affect student’s empathy and emotion regulation. We suggested that SSIs can provide an appropriate context for the improvement of students’ EC in science education and educators consider EC training integration at appropriate stages of science learning. We also recommend follow-up research to examine how students’ EC development impacts their SSI decision-making.

  相似文献   

18.
This study utilized a psychological constructivist perspective to examine the transitions that students make from arithmetic to algebra in the context of problems, that from the expert's perspective, involve the concept of linear inequality. Unstructured interviews were used to gather data that were used to develop an explanation concerning student understanding. Thirteen college students were interviewed individually and asked to solve nine related tasks. The interviews were videotaped and the protocols were analyzed to document student conceptions. Five case studies were used to develop and substantiate an explanation regarding students' transitions from arithmetic to algebra. Cifarelli's (1988) levels of reflective abstraction and Sfard and Linchevski's (1994) theory of reification provided a framework for this explanation. This paper discusses an integration of Cifarelli and Sfard's constructs. Students who completed a transition to algebra operated at higher levels of reflective abstraction than students who were unable to complete such a transition. Operating at higher levels of reflective abstraction enabled these students to consider concepts as both processes and abstract objects. Developing this ability was found to be critical in achieving a transition to using algebraic methods.  相似文献   

19.
This study examined student actions, interpretations, and language in respect to questions raised regarding tabular, graphical, and algebraic representations in the context of functions. The purpose was to investigate students’ interpretations and specific ways of working within table, graph, and the algebraic on notions fundamental to a conceptualization of linear functions. Through a case study method which investigated individual representations and student articulations within them, the study revealed that students can make a transition from a given representation of linear function to another and yet demonstrate limited understanding of linear functions.  相似文献   

20.
Student feedback literacy denotes the understandings, capacities and dispositions needed to make sense of information and use it to enhance work or learning strategies. In this conceptual paper, student responses to feedback are reviewed and a number of barriers to student uptake of feedback are discussed. Four inter-related features are proposed as a framework underpinning students’ feedback literacy: appreciating feedback; making judgments; managing affect; and taking action. Two well-established learning activities, peer feedback and analysing exemplars, are discussed to illustrate how this framework can be operationalized. Some ways in which these two enabling activities can be re-focused more explicitly towards developing students’ feedback literacy are elaborated. Teachers are identified as playing important facilitating roles in promoting student feedback literacy through curriculum design, guidance and coaching. The implications and conclusion summarise recommendations for teaching and set out an agenda for further research.  相似文献   

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