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1.
As it has been shown that teachers of social studies content are less likely than teachers of other content areas to utilize technology in their classroom, this study focuses on one instructional technology coordinators’ beliefs towards technology, instruction, and students and how these beliefs impacted how technology was utilized during a technology-enriched community history project with a group of fourth-grade students. It was determined that the instructional technology coordinators’ beliefs included the following: (a) technology should serve as a tool and should be seamlessly integrated into the curriculum; (b) the teacher should construct meaningful experiences that allow students to become engaged in the learning process; however, before guiding student discovery, the teacher needs to explicitly teach basic technological skills; (c) and all students are able to learn and are capable of engaging in independent problem solving and critical thinking at some level. Her beliefs manifested themselves daily, particularly in the way that she approached instruction and integrated technology seamlessly into the curriculum. Through this study, it was found that the technology coordinator's beliefs toward technology, instruction, and her students directly impacted how technology was used in her classroom.  相似文献   

2.
While Physics Education Research has a rich tradition of problem-solving scholarship, most of the work has focused on more traditional, well-defined problems. Less work has been done with ill-structured problems, problems that are better aligned with the engineering and design-based scenarios promoted by the Next Generation Science Standards. This study explored the relationship between physics content knowledge and ill-structured problem solving for two groups of high school students with different levels of content knowledge. Both groups of students completed an ill-structured problem set, using a talk-aloud procedure to narrate their thought process as they worked. Analysis of the data focused on identifying students’ solution pathways, as well as the obstacles that prevented them from reaching “reasonable” solutions. Students with more content knowledge were more successful reaching reasonable solutions for each of the problems, experiencing fewer obstacles. These students also employed a greater variety of solution pathways than those with less content knowledge. Results suggest that a student’s solution pathway choice may depend on how she perceives the problem.  相似文献   

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Abstract

We present a first-hand, longer-term account of one student’s (Christine’s) experiences in and after a mathematics inquiry course. In this course, students actively posed problems, conducted their own mathematical explorations, and wrote journal entries about their experiences. During the course, Christine found that inquiry helped her develop mathematical content knowledge and a deeper understanding of the nature of research. After the course, Christine became a mathematics education faculty member in a mathematics department and reports that the course impacted the way she teaches mathematics. This provides an illustrative case of the potential long-lasting benefits of an inquiry course.  相似文献   

4.
A major impediment to problem solving in mathematics in the great majority of South African schools is that disadvantaged students from seriously impoverished learning environments are lacking in the necessary informal mathematical knowledge to develop their own strategies for solving non-routine problems. A randomized pretest–posttest control group design was used to empirically investigate the effectiveness of a strategies-based problem solving approach on the problem solving performance of 9th grade disadvantaged students. In this approach students receive explicit instruction on a wide repertoire of problem solving strategies. The results reported in this study show a significant improvement in problem solving performance when a strategies-based approach to problem solving was being implemented. Quantitative and qualitative analyses of the responses to the items showed how the treatment group students had internalized as part of their problem solving repertoire the strategies on which they had been explicitly instructed on. The findings of this study make a case for the adoption of this approach so that the gap between the student’s existing problem solving competence, and the cognitive demands of a problem solving task can be bridged.  相似文献   

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Drawing strategies are widely used as a powerful tool for promoting students’ learning and problem solving. In this article, we report the results of an inferential mediation analysis that was applied to investigate the roles that strategic knowledge about drawing and the accuracy of different types of drawings play in mathematical modelling performance. Sixty-one students were asked to create a drawing of the situation described in a task (situational drawing) and a drawing of the mathematical model described in the task (mathematical drawing) before solving modelling problems. A path analysis showed that strategic knowledge about drawing was positively related to students’ modelling performance. This relation was mediated by the type and accuracy of the drawings that were generated. The accuracy of situational drawing was related only indirectly to performance. The accuracy of mathematical drawings, however, was strongly related to students’ performance. We complemented the quantitative approach with a qualitative in-depth analysis of students’ drawings in order to explain the relations found in our study. Implications for teaching practices and future research are discussed.  相似文献   

6.
Students with disabilities present a unique instructional design challenge. These students often have qualitatively different ways of processing information, meaning that standard instructional approaches may not be effective. In this study I present a case study of a student with a mathematical learning disability for whom standard instruction on fractions had been ineffective. With regard to theory, I draw on Lev Vygotsky’s framing of disability and then use Anna Sfard’s conceptualization of mathematics as a discourse to design a fraction re-mediation that provided a bridge from the student’s discourse to the canonical mathematics discourse. This bridging discourse was used in 5 videotaped re-mediation sessions with the case study student. A fine-grained analysis of the re-mediation sessions traced the ways in which the student’s discourse shifted over time, which enabled her to solve problems she had previously been unable to solve. This study provides a proof of concept for reconceptualizing remediation and illustrates the potential utility of a bridging discourse to help students who have a history of failure gain access to the canonical mathematics discourse and content.  相似文献   

7.
通过整理近年来关于小学数学应用题的相关研究,总结学生在应用题解题过程中普遍存在的认知障碍,结合现有解题系统分析研究各类型的认知工具对小学应用题解题障碍的支持,为帮助学生选择合适的认知工具提供借鉴,并在此基础上提出基于问题解决障碍的小学数学应用题解题系统的模型构建,为新的认知工具的设计开发提供新的角度。  相似文献   

8.
培养学生的创造力是世界各地的课程改革也包括数学教育的一个重要目标。然而由于对创造力本身的界定有不同的认识,如何在教学中培养学生的创造力一直是困扰一线教师的难题。数学活动题作为一种开放性的问题,提供了丰富的问题情境,有助于学生探索和思考。学生在解决可操作的数学活动题时,表现出积极的情感体验,体现出多样的思维过程,并能对自己的解题思路进行反思和调整。利用数学活动题是培养学生数学创造力的一条可行的途径。  相似文献   

9.
The Physics Metacognition Inventory was developed to measure physics students’ metacognition for problem solving. In one of our earlier studies, an exploratory factor analysis provided evidence of preliminary construct validity, revealing six components of students’ metacognition when solving physics problems including knowledge of cognition, planning, monitoring, evaluation, debugging, and information management. The college students’ scores on the inventory were found to be reliable and related to students’ physics motivation and physics grade. However, the results of the exploratory factor analysis indicated that the questionnaire could be revised to improve its construct validity. The goal of this study was to revise the questionnaire and establish its construct validity through a confirmatory factor analysis. In addition, a Rasch analysis was applied to the data to better understand the psychometric properties of the inventory and to further evaluate the construct validity. Results indicated that the final, revised inventory is a valid, reliable, and efficient tool for assessing student metacognition for physics problem solving.  相似文献   

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A kindergarten teacher's practice was investigated in order to understand her knowledge of her children's mathematical thinking, the ways in which she acquired that knowledge, and the uses she made of that knowledge in making instructional decisions. The focus of the investigation was the teacher's knowledge of her children's thinking about numbers, including counting and addition, subtraction, multiplication, and division. The teacher had attended Cognitively Guided Instruction workshops at which she had the opportunity to learn about research on children's mathematical thinking. She gathered information on her own children's thinking by posing word problems, listening to children as the described their strategies for solving the problems, and talking to other adults about her children. She used that information to select problems to pose in subsequent lessons.  相似文献   

12.
To investigate relationships between students’ quantitative reasoning with fractions and their algebraic reasoning, a clinical interview study was conducted with 18 middle and high school students. The students were interviewed twice, once to explore their quantitative reasoning with fractions and once to explore their solutions of problems that required explicit use of unknowns to write equations. As a part of the larger study, the first author conducted a case study of a seventh grade student, Willa. Willa’s fractional knowledge—specifically her reversible iterative fraction scheme and use of fractions as multipliers—influenced how she wrote equations to represent multiplicative relationships between two unknown quantities. The finding indicates that implicit use of powerful fractional knowledge can lead to more explicit use of structures and relationships in algebraic situations. Curricular and instructional implications are explored.  相似文献   

13.
Teachers are expected today to assess student understanding as an integral part of instruction, using a combination of various assessment methods and tools, among which are observing students solve problems in class and listening to their mathematical discussions. The aim of our study is to explore what it might mean for a teacher to hear students and to interpret their talk and actions. Analysis of an interview with Ruth – an experienced elementary school teacher – after she observed two of her students solve a mathematics problem, suggests four types of her interpretation: describing, explaining, assessing and justifying. This analysis illustrates the complexity of the way Ruth hears her students, as is indicated even in the relatively simple case of describing. Using various sources of data we also analyze different characteristics of Ruth’s hearing for the describing and explaining types of interpretation and examine possible resources for her over-hearing, compatible-hearing, under-hearing, non-hearing and biased-hearing.  相似文献   

14.
This paper reports on the analysis of student (aged 13–15) technological capability as they undertook technological tasks in science classrooms. The activities covered a number of different contexts, had differing degrees of openness, and methods of presentation. An holistic approach to analysing student performance was developed and this provided insights into the approaches adopted by the students. The focus of students on an end-product meant that students did not fully consider the process that might be required to solve the problem. The strategies, skills and knowledge they brought to bear were often not appropriate. Present classroom cultures and contexts need to be understood as greatly affecting performance in technological problem solving. Specializations: science and technology education.  相似文献   

15.
Recent research suggests that the examination of students' work may lead to changes in teaching practice that are more effective in terms of students' mathematical learning. However, the link between the examination of students' work and the teachers' actions in the classroom is largely unexamined, particularly at the secondary level. In this paper, I present the results of a study in which teachers had extensive opportunities to examine the development of students' conceptual models of exponential growth in the context of their own classrooms. I describe two related aspects of the practice of one teacher: (a) how she listened to students' alternative solution strategies and (b) how she responded to these strategies in her practice. The results of the analysis suggest that as the teacher listened to her students, she developed a sophisticated schema for understanding the diversity of student thinking. The actions of the teacher supported extensive student engagement with the task and led the students to revise and refine their own mathematical thinking. This latter action reflects a significant shift in classroom practice from the role of the teacher as evaluator of student ideas to the role of students as self-evaluators of their emerging ideas.  相似文献   

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Our education system aims to equip young people with the knowledge, problem‐solving skills and values to cope with an increasingly technological society. The aim of this study was to determine the effect of biotechnology education on adolescents’ understanding and attitudes about processes associated with biotechnology. Data were drawn from teacher and student interviews and surveys in the context of innovative Year 10 biotechnology courses conducted in three Western Australian high schools. The results indicate that after completing a biotechnology course students’ understanding increased but their attitudes remained constant with the exception of their views about human uses of gene technology. The findings of this study have ramifications for the design and implementation of biotechnology education courses in high schools.  相似文献   

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阐述了解题课的基本功能,指出了目前中学数学教育中解题课存在的问题。通过对一道平面几何题的分析,讨论了解题课环节如何创设一系列探究式问题,引导学生从问题的条件出发通过特例、试错等方法猜测一般规律并找到解决问题的方法,反思是如何想到这样的方法的?进一步对解题方法的优劣进行评判。通过方法的探究过程培养学生的元认知以及提升学生对数学方法的价值与审美判断能力。  相似文献   

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