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1.
This paper presents a study on mathematical problem solving in third-grade pupils. The relationship between mathematics, metacognition and intelligence was investigated in children with (n = 191) and without mathematical learning disabilities (n = 268). A significant relationship was found between prediction, evaluation, intelligence, procedural and mathematical fact retrieval skills in children without mathematical learning disabilities. In the children with mathematical learning disabilities a relationship was found between metacognitive and procedural skills. No such relationship was found between intelligence and metacognition or between metacognition and mathematical fact retrieval skills. In addition it was investigated if children with mathematical learning disabilities had less adequate metacognitive skills than peers without learning problems. At group level significant differences were found between both groups. However on analyzing these results further, it was found that four out of five children with combined mathematical learning disabilities, half of the children with procedural disabilities and only 5% of the children with a retrieval deficiency had low metacognitive skills. Furthermore, metacognitive problems were found in one out of five children without learning disabilities. Moreover, a majority of the children with mathematical learning disabilities and inadequate metacognitive skills had problems with prediction and evaluation skills. Most third graders with low metacognitive skills only appeared to have problems predicting the level of difficulty of tasks. Inaccurate evaluations were found on a more regular basis in children with mathematical learning disabilities and inadequate metacognitive skills as opposed to the sample of children with inadequate metacognitive skills but without learning difficulties, where their occurrence was rather a one off. The implications of this study for diagnosis and treatment will be discussed later in this paper.  相似文献   

2.
Undoubtedly the acquisition of mathematical skills for problem solving is critically important in today’s sophisticated technological world. There is growing evidence that meta-cognition application is an important component of academic success in general and impacts on mathematical achievement in particular. Teachers’ application of meta-cognition therefore directs and reflects their teaching-practice behaviour which influences their learners’ learning with understanding in problem-solving. The purpose of the study reported on in this article was to explore teachers’ available meta-cognitive skills in class with the intention of supporting learners’ development of mathematics in problem-solving in some selected rural primary schools in the Eastern Cape, South Africa. The participants were three teachers purposefully selected from three primary schools. Interviews were conducted with the three teachers and three lessons were observed. The interviews, as an extension of observation, focused on the teachers’ knowledge or understanding of available meta-cognitive skills and how they used these skills in helping their learners’ development of mathematics problem-solving. The findings included a detailed exploration of the teachers’ acquisition and use of specific metacognitive skills, either consciously or unconsciously, during teaching and learning processes in order to develop their mathematics learners’ meta-cognitive skills as well as in solving mathematical problems. The results of the observation showed that there was evidence of teachers applying meta-cognitive skills unconsciously in assisting their learners in problemsolving in class. The interviews confirmed this evidence of available meta-cognitive skills which the teachers usually applied in assisting their learners in problem-solving in class. Recommendations have been made regarding teachers’ methods of teaching to improve the development of such skills in the lives of their mathematics learners through problemsolving.  相似文献   

3.
This study aimed to better understand how metacognitive skills develop in young children aged 5 to 7?years. In particular, we addressed whether developmental changes reflect quantitative or qualitative improvements, and how metacognitive skills change with age and task-specific ability. Previous research into the development of metacognitive skills has been somewhat limited by methodology??often there is an over-reliance on language skills and it is assumed that children are fully conscious of the skills they use. In this study, a new observational method was developed which aimed to better represent young children??s (n?=?66) metacognitive skills by coding their verbalizations and non-verbal behavior during a problem-solving task. This method proved to be developmentally sensitive and illustrated both a quantitative increase in metacognitive skills, and qualitative changes in the types of monitoring and planning used throughout early development. Further, the results indicated that monitoring processes improve with age, control processes improve with both age and task-specific ability, and ??failures of metacognitive skills?? are primarily affected by task-specific ability rather than age.  相似文献   

4.
Incorporating metacognitive strategies in the classroom helps students monitor and adjust their learning strategies throughout the semester, and helps students progress from novice to expert learners in a subject. Journaling (i.e., reflective writing) is one metacognitive task that allows students to contemplate and articulate their skill development as they learn a new subject. The research reported here examines the use of ‘blogs’ (i.e., online journals) in an upper level undergraduate human anatomy course. The blogs both facilitated development of students' metacognitive skills and provided researchers insight into student metacognitive process. Data were examined from 92 students from three successive semesters (spring 2010, 2012 and 2014). Each student reviewed 10 radiology online cases throughout the semester and then reflected on their understanding of anatomy and radiology in an online blog for each case. A total of 927 blogs were examined for this research. The researchers used a grounded theory approach to analyze the blog narratives and develop a codebook based on common themes. The 927 blogs yielded 11,082 statements that were coded with the codebook. As the semester progressed, the blog entries showed that students demonstrated greater self-confidence in their abilities to understand the subject matter, expressed greater enthusiasm for anatomy in general, and they improved their metacognitive skills. This research illustrates that reflective writing in an undergraduate anatomy course not only facilitates improvement in student metacognitive skills, but also provides the instructor with evidence how a student progresses from novice to more experienced learner in anatomy.  相似文献   

5.
In the last decades, students increasingly have been placed in the role of active learners with responsibilities for their own learning. Students have to be able to plan their learning activities and execute them in a systematic and orderly way and to monitor and to evaluate their learning and to reflect on it. All aforementioned skills are components of metacognitive skillfulness. The first objective was to gain insight in the development of both quantity and quality of metacognitive skills in young adolescents (aged 12–15 years). The second objective was to establish whether development of metacognitive skills is intelligence related or relatively intelligence independent. Finally, the generality vs. domain specificity of developing metacognitive skills was investigated. In a 3-year longitudinal study, participants performed two different tasks (text studying and problem solving) in two different domains (history and math), while thinking aloud. Results show that between the age of 12 and 15 years, metacognitive skills do not develop linearly or at the same pace. Furthermore, metacognitive skills contribute to learning performance, partly independent of intellectual ability. Finally, the results show that metacognitive skills appear to be predominantly general by nature over the years. Although a smaller domain-specific component was found as well in the first 2 years, this component disintegrated in the third year. The age around 15 years appears to be a relevant point in time during the developmental trajectory of metacognitive skills: Growth is (temporarily) put on hold, while the nature of these skills becomes fully general.  相似文献   

6.
Third grade elementary school children solved tests on mathematical reasoning and numerical facility. Metacognitive skillfulness was assessed through think aloud protocols, prospective and retrospective child ratings, teacher questionnaires, calibration measures and EPA2000. In our dataset metacognition has a lot in common with intelligence, but planning measured with teacher ratings plays a role above and beyond IQ. Moreover, we found that skills are generally related, but that it is more appropriate to assess them separately. In addition, results show the value of an experienced teacher as actual measure of metacognitive planning skills. Our dataset suggests convergent validity for prospective and retrospective child ratings, but no significant relationship with the other metacognitive measures. Metacognitive skillfulness combined with intelligence accounts for between 52.9% and 76.5% of the mathematics performances. The choice of diagnostic instruments highly determines the predicted percentage. Consequences for the assessment of metacognitive skills are discussed.  相似文献   

7.
This study shows the results of a two-year longitudinal study where the same participants were followed for two consecutive years as they enter secondary school (aged 12–14 years). The main issue was to investigate the development of both the quantity and the quality of metacognitive skills. Another issue was to establish whether the development of metacognitive skillfulness is intelligence-related or relatively intelligence-independent. Finally, the generality vs. domain-specificity of developing metacognitive skillfulness was investigated. Thirty-two secondary school students participated in this study. While thinking aloud they performed two different tasks representing two different domains: A text-studying task for history and a problem-solving task for math. Participants' intellectual ability, metacognitive skillfulness and learning performance were assessed. Results show a quantitative as well as a qualitative growth in metacognitive skillfulness. Furthermore, results of both years show that metacognitive skillfulness contributed to learning performance (partly) independent of intellectual ability. A parallel development of metacognitive and intellectual ability was found. Finally, metacognitive skills predominantly appear to be general. Domain-specific metacognitive skills, however, played a substantial, but minor role as well in both years. Instructional implications are being discussed.  相似文献   

8.
Continuing intrinsic motivation to learn is the result of actively generating and implementing a variety of metacognitive, cognitive, and affective processes and skills. An understanding of these processes, skills, and their interrelationships forms a basis for the design of an effective motivational skills training program. This article advances a generative process model of continuing motivation in which the central role of perceived self‐efficacy and personal control are explicated. Support for this model from current theories of learning and motivation is presented, along with implications for specific skills training interventions. It is argued that the functional purpose of motivational skills training is to promote perceptions of self‐efficacy and personal control that underlie the ability to take positive self‐control and change negative attitudes and orientations toward learning. For students with motivational deficiencies, this training is a necessary precursor to their active engagement in the learning process and execution of appropriate learning strategies and skills.  相似文献   

9.
本文主要探讨元认知能力对数学学习的影响 ,并对如何培养学生的元认知能力以促进数学学习提出一些建议。  相似文献   

10.
教师元认知技能研究及其培训途径   总被引:8,自引:0,他引:8  
随着教师教育运动的国际化 ,教师元认知技能的培训已被视为提高教师教育教学能力的一个新途径。加强对教师元认知技能的培养有助于增强教师的反思能力 ,有助于增强教师的自我教学效能感与实际教学能力 ,有助于增强教师的教学监控能力。教师元认知技能培训有以下途径 :加强对教师元认知知识的培训 ,加强对教师元认知调节控制能力的实践模拟训练 ,加强对教师自我效能感的激励活动  相似文献   

11.
A school-based professional development programme (SBPD) aimed at developing secondary school mathematics teachers’ competencies to teach mathematical modelling in Singapore is presented and evaluated in this article. The SBPD is characterized by two key features—content elements to develop teachers’ knowledge and skills, and transformative learning cycles for teachers to elicit, enact and reorganize their orientations in a mathematical modelling classroom. Goal-based decision-making analysis of teachers’ practice suggests that this SBPD positively influences teachers’ knowledge and resources, goals and orientations in planning, designing and enacting modelling learning experiences.  相似文献   

12.
Metacognitive control is an important factor for successful learning and has been shown to increase across childhood and adolescence. Only few studies have attempted to investigate the cognitive processes and psychological mechanisms that subserve metacognitively-based control and the development thereof. Accordingly, the aim of the current study was to gain an insight into the cognitive and psychological correlates that relate to metacognitively-based control processes. Specifically, we were interested in two measures of metacognitive control: learners’ ability to self-regulate their study time in a study time allocation paradigm, as well as the efficiency with which they allocated their study time. It was of particular interest to explore the relation between declarative metamemory and procedural metacognitive skills. In addition, we assessed learners’ general cognitive and executive abilities. We tested a group of 10-year olds and a group of adults. Surprisingly, and in contrast to previous studies, the current study does not support a relation between declarative metamemory and procedural skills, or executive functions and intelligence and procedural skills. We interpret our results in line with a dual systems view of metacognitive abilities and further speculate whether procedural skills might become increasingly independent and automated with age.  相似文献   

13.
Invention and Productive Failure activities ask students to generate methods that capture the important properties of some given data (e.g., uncertainty) before being taught the expert solution. Invention and Productive Failure activities are a class of scientific inquiry activities in that students create, implement, and evaluate mathematical models based on data. Yet, lacking sufficient inquiry skills, students often do not actualize the full potential of these activities. We identified key invention strategies in which students often fail to engage: exploratory analysis, peer interaction, self-explanation, and evaluation. A classroom study with 134 students evaluated the effect of supporting these skills on the quality and outcomes of the invention process. Students in the Unguided Invention condition received conventional Invention Activities; students in the Guided Invention condition received complementary metacognitive scaffolding. Students were asked to invent methods for calculating uncertainties in best-fitting lines. Guided Invention students invented methods that included more conceptual features and ranked the given datasets more accurately, although the quality of their mathematical expressions was not improved. At the process level, Guided Invention students revised their methods more frequently and had more and better instances of unprompted self-explanations even on components of the activity that were not supported by the metacognitive scaffolding. Classroom observations are used to demonstrate the effect of the scaffolding on students’ learning behaviours. These results suggest that process guidance in the form of metacognitive scaffolding augments the inherent benefits of Invention Activities and can lead to gains at both domain and inquiry levels.  相似文献   

14.
A central issue in the design of curricula for all school levels is the development of the learners’ high-order thinking skills and metacognitive skills. Among such required skills is the ability to solve problems. The literature dealing with the development of problem-solving skills is vast and primarily addresses the scientific disciplines, even though the importance of integrating such skills into all disciplines is widely mentioned. The current study aims to compare problem-solving questions used in two seemingly different disciplines: linguistics and computer science. Our premise was that the basis for imparting problem-solving skills is asking problem-solving questions. We analysed problem-solving questions posed in various teaching and learning school scenarios for keywords, and identified nine categories of problem-solving question keywords common to both disciplines. We present those categories and extend our study of two categories to demonstrating the ability to follow the problem-solving process in linguistics is similar to the exact sciences.  相似文献   

15.
The development of the metacognitive skill of prediction in deaf students in a middle school social studies classroom was explored in an action research study (Riel, 2006). After observation of this group of learners and assessment of current skills, a unit was developed that integrated the teaching of prediction into their study of the American Revolution. It was found that these students were already using some metacognitive skills in their social studies class, but through direct instruction they were able to make more and better predictions related to the content being studied. The study demonstrates how the social studies curriculum provided an opportunity for students to learn and implement metacognitive skills that helped them to understand the cause-and-effect relationships in history and eventually to become more active readers during a reading task.  相似文献   

16.
The main aim of this study was to investigate and discover whether going through the process of reflection by keeping reflective design journals (RDJ) enhances architecture students’ metacognition and whether this enhanced metacognition improves their design understandings and skills. The study was a mixed‐methods design and utilised content analysis method to identify the metacognitive actions of the participants. The study also investigated participants’ attitudes towards RDJs and their views regarding the effect of enhanced metacognition on their design understandings and skills. Twenty college students registered to an undergraduate course offered by the department of Architecture participated in the research. The findings of the study revealed that by writing in their RDJs, participants were able to progressively enhance their metacognitive skills and performed several metacognitive actions by using the four main metacognitive strategies: awareness, organisation and planning, monitoring, and evaluation. The results also disclosed that participants found RDJ keeping exceptionally effective and stated that their enhanced metacognition improved their design understanding and abilities.  相似文献   

17.
Mothers' views of what they teach their preschoolers in everyday situations and their beliefs about the importance of teaching particular kinds of skills were explored. Middle class mothers of 3-, 4-, and 5-year-old children were asked to identify situations/activities in which they intentionally set out to teach their child and situations/activities in which teaching occurs incidental to some other goal. Most mothers reported teaching both cognitive/academic and social/life skills, but they differed in the relative emphases they put on each type. Few mothers spontaneously reported teaching metacognitive skills, although when specifically asked whether they taught any "learning-to-learn" skills they indicated that they did. Nevertheless, the skills they identified were lower-level process skills such as listening and paying attention rather than higher-level self-regulatory skills such as planning and monitoring progress. Some educators have questioned the extent to which parents are aware of and take advantage of the opportunities for teaching afforded by everyday interactions with their children. The present results suggest that this need not be a concern with respect to middle class families in the cognitive and social domains but that it is of concern in the metacognitive domain. It seems clear that there should be an increased emphasis in parent education programs and materials on how and why to foster metacognition.  相似文献   

18.
This research studies the development of metacognitive skills in students of consecutive interpreting from German into Spanish. The purpose is to discover which self-regulating processes appear after introducing a specific pedagogical action based on metacognitive guides. Our hypothesis is that self-regulating activity will increase as work with the guides advances. We also analyse the changes which occur as the course progresses. The analysis of the corpus enables us to describe metacognitive activity in consecutive interpretation students and also to justify the introduction of a component of self-regulation in teaching andlearning processes. The research contributes to pedagogical development in consecutive interpretation since it sheds light on how to use effective teaching and learning patterns that can lead to self-regulation.  相似文献   

19.
在教学环境下,如何提高个体的元认知水平,一直是元认知研究领域的焦点课题.通过控制课堂教学,对“题后反思”法的训练效果进行研究是很有必要的,由此得出:(1)数学学优生与学困生在元认知技能方面存在显著性的差异;(2)经题后反思的短期培训后,数学学困生在元认知技能方面有显著性的提高,但是与学优生的差异仍然显著.  相似文献   

20.
Mothers' views of what they teach their preschoolers in everyday situations and their beliefs about the importance of teaching particular kinds of skills were explored. Middle class mothers of 3-, 4-, and 5-year-old children were asked to identify situations/activities in which they intentionally set out to teach their child and situations/activities in which teaching occurs incidental to some other goal. Most mothers reported teaching both cognitive/academic and social/life skills, but they differed in the relative emphases they put on each type. Few mothers spontaneously reported teaching metacognitive skills, although when specifically asked whether they taught any "learning-to-learn" skills they indicated that they did. Nevertheless, the skills they identified were lower-level process skills such as listening and paying attention rather than higher-level self-regulatory skills such as planning and monitoring progress. Some educators have questioned the extent to which parents are aware of and take advantage of the opportunities for teaching afforded by everyday interactions with their children. The present results suggest that this need not be a concern with respect to middle class families in the cognitive and social domains but that it is of concern in the metacognitive domain. It seems clear that there should be an increased emphasis in parent education programs and materials on how and why to foster metacognition.  相似文献   

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