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Students who struggle with learning mathematics often have difficulties with geometry problem solving, which requires strong visual imagery skills. These difficulties have been correlated with deficiencies in visual working memory. Cognitive psychology has shown that chunking of visual items accommodates students’ working memory deficits. This study investigated the effects of visual‐chunking representation as a testing accommodation for improving students’ geometry problem‐solving performance. Participants were four third‐graders with difficulties in mathematics. An adapted reversal design was employed to examine the students’ performance changes during standard testing conditions and accommodated testing conditions. During the accommodated condition, students were presented with visual‐chunking images. Results suggested that the visual‐chunking representation accommodation improved students’ performance on geometry problem‐solving tasks, and an interview confirmed students’ preference for the visual‐chunking representation approach.  相似文献   

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The purpose of this study was to explore methods to enhance mathematical problem solving for students with mathematics disabilities (MD). A small‐group problem‐solving tutoring treatment incorporated explicit instruction on problem‐solution rules and on transfer. The transfer component was designed to increase awareness of the connections between novel and familiar problems by broadening the categories by which students group problems requiring the same solution methods and by prompting students to search novel problems for these broad categories. To create a stringent test of efficacy, we incorporated a computer‐assisted practice condition, which provided students with direct practice on real‐world problem‐solving tasks. We randomly assigned 40 students to problem‐solving tutoring, computer‐assisted practice, problem‐solving tutoring plus computer‐assisted practice, or control, and pre‐ and posttested students on three problem‐solving tasks. On story problems and transfer story problems, tutoring (with or without computer‐assisted practice) effected reliably stronger growth compared to control; effects on real‐world problem solving, although moderate to large, were not statistically significant. Computer‐assisted practice added little value beyond tutoring but, alone, yielded moderate effects on two measures.  相似文献   

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Design thinking is a collaborative problem solving and human‐centric approach that fosters innovation by elevating participants’ creative thinking abilities. Design thinking techniques and practices have been implemented into different curricula in secondary and post‐secondary education to address the need for new skills to be learned for the twenty‐first century. However, little work has been conducted to clarify how to evaluate the students’ design thinking skills gained in these courses. This study reports on a successful evaluation of an interaction design thinking curriculum in secondary level education. Several types of data sources, including participant observation, open‐ended questions and document analysis were employed to gather extensive data on students’ skills gained during the course. The results of the study inform design thinking researchers about how to evaluate design thinking skills of students in a secondary level design thinking course.  相似文献   

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We compared the effects of two approaches to decoding on the word reading skills of struggling first-grade students: decontextualized, teacher directed decoding practice with manipulative letters and embedded, incidental decoding practice. Participants were 98 students at risk for reading disability. We randomly assigned participants to three groups: (1) treatment, (2) comparison, and (3) control. The treatment group received 30 sessions of small-group instruction using manipulative letters to practice decoding skills. The comparison group received the same small-group reading instruction without the additional decoding practice. The control group did not receive supplemental small-group instruction. Analyses indicated that students who received the additional decoding practice with manipulative letters scored significantly better on phonological awareness, decoding, and word recognition skills than students who received incidental decoding practice.  相似文献   

6.
The present study examines the effect of three different structured methods, traditional, independent and problem‐solving, of teaching children arithmetic in the beginning of 7th grade in Sweden, age 13 years. The progress made by these students is presented by measures of their arithmetic ability, calculation and quantitative concept, as well as their self‐regulated learning skills in mathematics, characterised as internal and instrumental motivation, self‐concept and anxiety. The results will be discussed with reference to a socio‐cultural perspective. This study has a split‐plot factorial design with time as within‐subject and type of intervention as a between‐subject factor. The results show that there are no significant differences between teaching methods when assessing arithmetic in total and calculation. Students’ progress in quantitative concepts is significantly better if teachers teach traditionally or with a problem‐based curriculum. In order to develop aspects of self‐regulating learning skills, the results show that pupils would benefit in a traditional or problem‐solving curriculum. Problem‐solving seems to be more effective than traditional and independent work for students’ internal motivation. Traditional work and problem‐solving are more effective than independent work for students’ self‐concept.  相似文献   

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This mixed‐methods study assessed the effects of Enhanced Anchored Instruction (EAI) on the math performance of adolescents with learning disabilities in math (MLD). A quasi‐experimental pretest–posttest control group design with switching replications was used to measure students' computation and problem‐solving skills on EAI compared to control conditions. Scores on the curriculum‐aligned and standardized measures showed improved problem‐solving skills but results were mixed for computation. To augment the numerical data, a qualitative inquiry captured day‐to‐day classroom activities. The findings showed that problem‐based curricula such as EAI have the potential for helping students with MLD develop deeper understandings of math concepts but that considerable effort is required to structure and teach these concepts in ways students with MLD understand.  相似文献   

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This article reports research using case studies of 22 university students receiving study skills development funded by the Disabled Student's Allowance at an independent dyslexia consultancy. In‐depth semi‐structured interviews were conducted. The students identify the primary benefits of the tuition as: developing an understanding of dyslexia and specific learning difficulty as part of the process of self‐development; normalising their experiences; and developing their critical analysis and problem‐solving techniques to support the skills needed for studying. The implications for good practice in supporting university students with dyslexia are considered.  相似文献   

10.
The research issue in this study is how to structure collaborative learning so that it improves solving physics problems more than individual learning. Structured collaborative learning has been compared with individual learning environments with Schoenfeld’s problem‐solving episodes. Students took a pre‐test and a post‐test and had the opportunity to solve six physics problems. Ninety‐nine students from a secondary school in Shanghai participated in the study. Students who learnt to solve problems in collaboration and students who learnt to solve problems individually with hints improved their problem‐solving skills compared with those who learnt to solve the problems individually without hints. However, it was hard to discern an extra effect for students working collaboratively with hints—although we observed these students working in a more structured way than those in the other groups. We discuss ways to further investigate effective collaborative processes for solving physics problems.  相似文献   

11.
A study on the effect of a structured problem‐solving strategy on problem‐solving skills and conceptual understanding of physics was undertaken with 189 students in 16 disadvantaged South African schools. This paper focuses on the development of conceptual understanding. New instruments, namely a solutions map and a conceptual index, are introduced to assess conceptual understanding demonstrated in students’ written solutions to examination problems. The process of the development of conceptual understanding is then explored within the framework of Greeno’s model of scientific problem‐solving and reasoning. It was found that students who had been exposed to the structured problem‐solving strategy demonstrated better conceptual understanding of physics and tended to adopt a conceptual approach to problem‐solving.  相似文献   

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Summaries

English

We describe a systematic study of skills for solving problems in basic physics, a domain of practical significance for instruction, but not of prohibitive complexity. Our studies show that an inexperienced student tends to solve a problem by assembling individual equations. By contrast, an expert solves a problem by a process of successive refinements, first describing the main problem features by seemingly vague words or pictures, and only later considering the problem in greater detail in more mathematical language. We have formulated explicit theoretical models with such features and have supported them by some detailed observations of individuals. In addition, experimental instruction incorporating such features seems to improve problem‐solving performance significantly. These investigations yield thus some basic insights into thinking processes effective for problem‐solving. Furthermore, they offer the prospect that these insights can be used to teach students improved problem‐solving skills and to modify common teaching practices which inhibit the development of such skills.  相似文献   

13.
This paper reports the findings of a qualitative case study that explores how international students in different disciplines struggle to interpret their disciplinary requirements. The study shows the emergence of five main forms of unpacking academic expectations that individual students in the study employed. It will be argued that these international students appear to be active and capable of drawing on various strategies and problem‐solving skills in order to take control of their academic life and enable them to participate in the academic practices of their discipline. The students' experiences also indicate that the interaction and dialogue they establish with their lecturers plays a significant role in their success in the course.  相似文献   

14.
If students are to successfully grapple with authentic, complex biological problems as scientists and citizens, they need practice solving such problems during their undergraduate years. Physics education researchers have investigated student problem solving for the past three decades. Although physics and biology problems differ in structure and content, the instructional purposes align closely: explaining patterns and processes in the natural world and making predictions about physical and biological systems. In this paper, we discuss how research-supported approaches developed by physics education researchers can be adopted by biologists to enhance student problem-solving skills. First, we compare the problems that biology students are typically asked to solve with authentic, complex problems. We then describe the development of research-validated physics curricula emphasizing process skills in problem solving. We show that solving authentic, complex biology problems requires many of the same skills that practicing physicists and biologists use in representing problems, seeking relationships, making predictions, and verifying or checking solutions. We assert that acquiring these skills can help biology students become competent problem solvers. Finally, we propose how biology scholars can apply lessons from physics education in their classrooms and inspire new studies in biology education research.  相似文献   

15.
Recently, the importance of an everyday context in physics learning, teaching, and problem‐solving has been emphasized. However, do students or physics educators really want to learn or teach physics problem‐solving in an everyday context? Are there not any obstructive factors to be considered in solving the everyday context physics problems? To obtain the answer to these questions, 93 high school students, 36 physics teachers, and nine university physics educators participated in this study. Using two types of physics problems—everyday contextual problems (E‐problems) and decontextualized problems (D‐problems)—it was found that even though there was no difference in the actual performance between E‐problems and D‐problems, subjects predicted that E‐problems were more difficult to solve. Subjects preferred E‐problems on a school physics test because they thought E‐problems were better problems. Based on the observations of students' problem‐solving processes and interviews with them, six factors were identified that could impede the successful solution of E‐problems. We also found that many physics teachers agreed that students should be able to cope with those factors; however, teachers' perceptions regarding the need for teaching those factors were low. Therefore, we suggested teacher reform through in‐service training courses to enhance skills for teaching problem‐solving in an everyday context.  相似文献   

16.

This study investigated the perceptions of Human Resource Development (HRD) Specialists regarding the preparation of Illinois community college vocational/ technical program graduates. Two hundred and forty‐five respondents answered a mail questionnaire concerning the technical, human relations, problem solving and basic skills of program graduates. The graduates were employed in Nursing and Allied Health, Industrial Technology, Secretarial and Clerical, Agriculture, Marketing and Management, Accounting and Data Processing, and Social and Public Services. The perceptions of these HRD Specialists toward community college program graduates are positive. Graduates of Nursing and Allied Health programs were consistently rated higher than graduates of other programs. Overall, graduates were ranked highest on human relations skills and lowest on problem solving skills. Finally, implications for practice included suggestions for involving HRD Specialists in community college vocational programs.  相似文献   

17.
Summary Some important results that relate to classroom learning and teaching of problem solving emerge from these case studies. These are now summarized as follows. In terms of the students' potential learning experiences of problem solving, it was found that the students were mainly witnessing their teachers' demonstrations of using rules or algorithms for solution to problems. Repeated practice of solving the sorts of problems that occur in examinations was also emphatically included as part of the learning experience. The students were not exposed to a range of strategies that could possibly be used to solve the same problems. There was no explicit teaching of important problem solving skills such as translation skills (comprehending, analyzing, interpreting, and defining a given problem) and linkage skills (concept relatedness between two concepts or using cues from the problem statements to associate ideas, concepts, diagrams, etc. from memory). When teachers solve problems they use, in general, several strategies to solve the same class of problems and they are very careful and explicit about translating problem statements, making relevant linkages and checking. These absences in the teachers' teaching of problem solving (and hence in the students' range of learning experiences) are particularly interesting because they are part of the teachers' own repertoire of skills. Accordingly, it may not be too difficult to get teachers to include them in their teaching. This would mean that the students' range of learning experiences for problem solving would be very much strengthened.  相似文献   

18.
In this study, we investigated the impact of computer spreadsheets on the problem solving practices of students for math story problems, and more specifically on the transition from arithmetic to algebraic reasoning, through the construction of algebraic expressions. We investigated the relationships among the students’ prior knowledge and skills, the verification processes, and the effectiveness of the problem solving tasks. For identifying the factors involved in the problem solving process and their role, in our analysis we employed the Structural Equation Modeling (SEM) approach. We mainly focused on math story problems and on students of tertiary education with little prior experience on the use of computers and spreadsheets. Analysis of the data indicates that spreadsheets can support the transition from arithmetic to algebraic reasoning and this transition is influenced by prior skills of the students relevant to the interaction with the interface (enter formula skills), and the students’ frequency of verification of the solution.  相似文献   

19.
Many students experience difficulties in solving applied physics problems. Most programs that want students to improve problem-solving skills are concerned with the development of content knowledge. Physhint is an example of a student-controlled computer program that supports students in developing their strategic knowledge in combination with support at the level of content knowledge. The program allows students to ask for hints related to the episodes involved in solving a problem. The main question to be answered in this article is whether the program succeeds in improving strategic knowledge by allowing for more effective practice time for the student (practice effect) and/or by focusing on the systematic use of the available help (systematic hint-use effect). Analysis of qualitative data from an experimental study conducted previously show that both the expected effectiveness of practice and the systematic use of episode-related hints account for the enhanced problem-solving skills of students.  相似文献   

20.
Problem solving is an important yet neglected mathematical skill for students with autism spectrum disorder and intellectual disability (ASD/ID). In addition, the terminology and vocabulary used in mathematical tasks may be unfamiliar to students with ASD/ID. The current study evaluated the effects of modified schema-based instruction (SBI) on the algebra problem solving skills of three middle school students with ASD/ID. Mathematics vocabulary terms were taught using constant time delay. Participants were then taught how to use an iPad that displayed a task analysis with embedded prompts to complete each step of solving the word problems. This study also examined participant’s ability to generalize skills when supports were faded. Results of the multiple probe across participants design showed a functional relation between modified SBI and mathematical problem solving as well as constant time delay and acquisition of mathematics vocabulary terms. Implications for practice and future research are discussed.  相似文献   

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