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1.
The idea that characteristics acquired by an organism during its lifetime can be inherited by offspring and result in evolution is a substantial impediment to student understanding of evolution. In the current study, we performed a preliminary examination of how acquiring physical changes in a question prompt may differentially cue intuitive and scientific justifications of inheritance and evolution and how this varies based on how student learned the concept. Middle school students in a suburban northeastern district (N = 314) either learned about evolutionary change with a category construction task (with different levels of feedback support) or completed a worksheet. Three days later students responded to two free response scenarios (one where a physical change is acquired). Responses were coded based on student justifications for either science accuracy or intuitive nature. Specific reasons were coded by justification type with high inter-rater agreement (k > 0.93). Results showed that students were more likely to apply intuitive reasoning when a physical change was acquired (50%) than if the change was behavioral in nature (16%). Additionally, students who completed the category construction task provided significantly more scientifically accurate justifications about inheritance (M = 1.12) than control students (M = 0.47), and significantly less intuitive justifications (M = 0.67) than control (M = 1.13). Finally, category construction produced the most scientific reasoning when feedback was provided. Taken together, these results suggest that intuitive reasoning is differentially applied based on physical organismal changes, intuitive reasoning is less frequent when learning via category construction, and the category construction task is more effective for this population with the inclusion of feedback.  相似文献   

2.
Upper secondary students’ task solving reasoning was analysed with a focus on arguments for strategy choices and conclusions. Passages in their arguments for reasoning that indicated the students’ beliefs were identified and, by using a thematic analysis, categorized. The results stress three themes of beliefs used as arguments for central decisions: safety, expectations and motivation. Arguments such as ‘I don’t trust my own reasoning’, ‘mathematical tasks should be solved in a specific way’ and ‘using this specific algorithm is the only way for me to solve this problem’ exemplify these three themes. These themes of beliefs seem to interplay with each other, for instance in students’ strategy choices when solving mathematical tasks.  相似文献   

3.
Problems which could be solved using proportional reasoning were administered nationwide by college faculty to their own science classes during a three year period. The reasoning of more than 8000 students covering three sections of the country was classified as concrete, transitional, or formal using Piagetian categories. Data from the West closely replicated that from the Midwest on similar metric conversion tasks. Student performance changed noticeably with a different problem format. The percentages of students using a ratio formula, ratio attempt, or intuitive methods of solution held approximately constant over time, task, and section of the country. The data shows the use of additive and conversion methods of solution depends upon the problem presentation.  相似文献   

4.
Why do students give incorrect answers in PISA? What are the reasons for giving incorrect answers? Do all incorrect answers reflect only the lack of competence or might even a competent child make a mistake? The aim of this article is to contribute to a better understanding of these issues. In the current investigation, we selected six students who responded incorrectly to one PISA question in mathematics or science when they solved it individually. Then, we analyzed their understanding of the PISA task and their reasoning about it through a dialogical problem solving in triads to identify why they made an incorrect answer. Moreover, we tried to determine how the shared peer interaction might change the understanding and reasoning of the child and enable her/him to solve the task. The results of this study illustrate the differences between incorrect answers reflecting lack of competence and those incorrect answers, which appear for some other reasons. Based on the dialogical problem solving approach, we analyzed these two types of incorrect answers and the reasoning trajectories behind them.  相似文献   

5.
The primary purpose of this study was to test the hypothesis that an important intellectual acquisition during adolescence is the ability to generate arguments that involve reasoning to contradiction. Students in grades 3, 5, 7, 9, 11, and college were individually administered a four-card selection task that required them to, among other things, reason to a contradiction to falsify a hypothesis. Virtually none of the students spontaneously utilized this reasoning pattern on the initial task. Minimal verbal instruction in use of the reasoning pattern was then given followed by a logically analogous selection task. Performance on this task improved significantly with age from 12% success among third graders to 52% success among college students, providing some support for the hypothesis. Performance on an evaluation task showed similar rates of success; however, most students were able to correctly evaluate falsifying evidence when presented. This result suggested that, contrary to Piagetian theory, students from grade 3 upward comprehend the logic of falsification. It is argued that reasoning to a contradiction is a reasoning pattern of central importance in testing alternative scientific hypotheses and its use in students grades 3 through college could be enhanced through proper instruction and, if done, should increase students' ability to generate and evaluate competing hypotheses.  相似文献   

6.
《Learning and Instruction》2007,17(5):510-531
This paper examines task design that affords deep changes in mathematical thinking in the context of peer interaction. We describe a study in which 60 low-level high-school students solved a proportional reasoning task, the “blocks” task as individuals and/or in dyadic interaction. We show that we could tailor the design of the task in order to create a cognitive conflict among dyads, notwithstanding the strategies used by the students. We show that students' proportional reasoning strategies did not improve as a result of discussion even when guided by an experimenter dedicated at reaching consensus; however the introduction of a hypothesis testing device and the guidance of the experimenter to accommodate divergent views led peers to impressive conceptual change in their discussion and in an individual post-test. Examination of one case of dyadic interaction shows that beyond the value of given characteristics of individuals or of tasks, the process of argumentation that takes place between the peers explains the subsequent gains of the individuals. The conditions under which conceptual change was attained challenge theoretical views on cognitive development and social interactions.  相似文献   

7.
Ill-structured problems, by definition, have multiple paths to a solution and are multifaceted making automated assessment and feedback a difficult challenge. Diagnostic reasoning about medical cases meet the criteria of ill-structured problem solving since there are multiple solution paths. The goal of this study was to develop an adaptive feedback mechanism that is capable of identifying and responding to novice physician misconceptions by mining the log trace data of user interactions in BioWorld, a computer-based learning environment designed to support medical students in regulating their own diagnostic reasoning. We applied a series of text pre-processing algorithms to extract the linguistic features that characterized symptoms identified by 30 medical students solving three endocrinology cases: diabetes mellitus (type 1), Pheochromocytoma, and Hyperthyroidism. A subgroup discovery mining algorithm was applied in two steps. First, rules were induced to predict an incorrect diagnosis submitted as the final solution for a case on the basis of symptoms highlighted by medical students as being pertinent, that were in fact not pertinent. Second, rules were induced to predict a distractor hypothesis (an incorrect hypothesis listed as the most probable) during the differential diagnosis process while solving the case. The rule set discovered through the subgroup discovery task was shown to predict both incorrect and distractor hypotheses set by novice physicians while solving the case. We discuss the implications in terms of developing an adaptive feedback mechanism that can detect physicians’ misconceptions and errors during problem-solving as a means to deliver prompts and feedback that promote the acquisition of metacognitive monitoring and control skills.  相似文献   

8.
Seventy-one college general biology students were taught a unit in Mendelian genetics by the traditional lecture method. Emphasis was placed on meiotic formation of gametes, the Law of Segregation, and the Law of Independent Assortment. The Punnett-square model was used for all practice problems. Eight weeks later, a content-validated retention test was given to evaluate the students' retention of problem-solving skills. The test required students to use proportional reasoning (identifying ratios from the Punnett squares), combinatorial reasoning (identifying combinations of gametes from parental genotypes), and probabilistic reasoning (estimating gamete or offspring probabilities). Each of the 71 students was also given three Piagetian interview tasks to evaluate intellectual development in the areas of reasoning under question. The balance-beam task, the electronic switch-box task, and colored squares and diamonds were used to test for proportional reasoning, combinatorial reasoning, and probabilistic reasoning, respectively. Pearson correlations and factor analysis failed to show direct relationships among Piagetian tasks for the three kinds of reasoning and their corresponding occurrence in genetics problems. Some correlations were higher between different reasoning types than between similar types. Analysis of variance showed significant differences for all three reasoning types among concrete-operational, transitional, and formal-operational students with the retention test. Post-hoc analysis of ANOVAs indicated that formal-operational students had significantly more success in the three reasoning areas than transitional students, and transitional students had significantly more success than concrete-operational students.  相似文献   

9.
Feedback indicating how well students are performing during a learning task can be very stimulating. In this study with a pre- and post-test design, the effects of two types of performance feedback on learning results were compared: feedback during a learning task was either stated in terms of how well the students were performing relative to other students (social comparison feedback) or relative to an absolute criterion (criterion-based feedback). Thirty-four students in secondary vocational engineering education were randomly assigned to one of two conditions. In both conditions, students worked together in small groups. All groups completed a math learning task, during which they received either social comparison feedback or criterion-based performance feedback. The findings showed that the type of feedback had a strong effect on learning outcomes: the post-test scores and gains of students in the social comparison condition were significantly higher than those of students in the criterion-based feedback condition.  相似文献   

10.
Our main goal in this study is to exemplify that a meticulous design can lead pre-service teachers to engage in productive unguided peer argumentation. By productivity, we mean here a shift from reasoning based on intuitions to reasoning moved by logical necessity. As a subsidiary goal, we aimed at identifying the kinds of reasoning processes (visual, inquiry-based, and deductive) pre-service teacher's students adopt, and how these reasoning processes are interwoven in peer-unguided argumentation. We report on a case study in which one dyad participating in a pre-service teachers program solved a mathematical task. We relied on three principles to design an activity: (a) creating a situation of conflict, (b) creating a collaborative situation, and (c) providing a device for checking hypotheses/conjectures. We show how the design afforded productive argumentation. We show that the design of the task entailed argumentation which first relied on intuition, then intertwined the activities of conjecturing and checking conjectures by means of various hypotheses-testing devices (measurement, manipulations, and dynamic change of figures with Dynamic Geometry software), leading to a conflict between conjectures and the outcome of the manipulation of DG software. Peer argumentation then shifted to abductive and deductive considerations towards the solution of the mathematical task. These beneficial outcomes resulted from collaborative rather than adversarial interactions as the students tried to accommodate their divergent views through the co-elaboration of new explanations.  相似文献   

11.
What strategies do high school students use when solving chemistry problems? The purpose for conducting this study was to determine the general problem-solving skills that students use in solving problems involving moles, stoichiometry, the gas laws, and molarity. The strategies were examined for success in problem solving for 266 students of varying proportional reasoning ability, using interviews incorporating the think-aloud technique. Data were coded using a scheme based on Polya's heuristics. Results indicated that successful students and those with high proportional reasoning ability tended to use algorithmic reasoning strategies more frequently than nonsuccessful and low proportional reasoning students. However, the majority of all students solved the chemistry problems using only algorithmic methods, and did not understand the chemical concepts on which the problems were based.  相似文献   

12.
13.
The purpose of this study was to examine the impact on students’ performance of three contingent feedback strategies used by teachers. Contigency means that the feedback strongly corresponds with task behaviour that can be controlled by the students. Elementary school students (N=296) received individualized feedback about their performance during a series of five lessons. Within this contingent feedback structure, three strategies were applied which were assumed to enhance the perceived controllability of the task situation: (1) enhancing the perceptibility of the contingency between feedback and task behavior; (2) explicit reference to effort as part of the feedback, and (3) setting of goals. As predicted, the three contingent feedback strategies had a significant positive effect on perceived controllability, and led to better task performance.  相似文献   

14.
Interactive dialogue within feedback episodes is essential for developing primary school students' mathematical reasoning competence. Our goal was to better understand the nature of the associations between observed dialogue, teachers' formative feedback, and students' mathematical reasoning. We applied a two-step approach, first constructing a video-analysis instrument for assessing the quality of interactive dialogues and then combining the interaction data with student and teacher questionnaire data from 804 students in 44 fifth and sixth grade primary school classes. The quality of the observed dialogues predicted class differences in students’ self-efficacy for explaining but not in their reasoning competence, which was predicted by perceived formative feedback.  相似文献   

15.
Although computer modelling is widely advocated as a way to offer students a deeper understanding of complex phenomena, the process of modelling is rather complex itself and needs scaffolding. In order to offer adequate support, we need a thorough understanding of the reasoning processes students employ and of difficulties they encounter during a modelling task. Therefore, in this study 26 students, working in dyads, were observed while working on a modelling task in the domain of physics. A coding scheme was developed in order to capture the types of reasoning processes used by students. Results indicate that most students had a strong focus on adjusting model parameters to fit the empirical data with little reference to prior knowledge. The successful students differed from the less successful students in using more prior knowledge and in showing more inductive reasoning. These observations lead to suggestions for the design of appropriate scaffolds.  相似文献   

16.
近年来,利用信息技术优化数学教学全过程的研究与实践正日益深入.这其中应用最广的就是几何画板等动态几何软件和其它教学软件.但是随着一种功能强大的开源软件——GeoGebra的引入,其超越几何画板的表现及其全面的功能势必带来一场数学教学技术新的变革.  相似文献   

17.
This study considers the role and nature of co-thought gestures when students process map-based mathematics tasks. These gestures are typically spontaneously produced silent gestures which do not accompany speech and are represented by small movements of the hands or arms often directed toward an artefact. The study analysed 43 students (aged 10–12 years) over a 3-year period as they solved map tasks that required spatial reasoning. The map tasks were representative of those typically found in mathematics classrooms for this age group and required route finding and coordinate knowledge. The results indicated that co-thought gestures were used to navigate the problem space and monitor movements within the spatial challenges of the respective map tasks. Gesturing was most influential when students encountered unfamiliar tasks or when they found the tasks spatially demanding. From a teaching and learning perspective, explicit co-thought gesturing highlights cognitive challenges students are experiencing since students tended to not use gesturing in tasks where the spatial demands were low.  相似文献   

18.
The relation between types of tasks and the mathematical reasoning used by students trying to solve tasks in a national test situation is analyzed. The results show that when confronted with test tasks that share important properties with tasks in the textbook the students solved them by trying to recall facts or algorithms. Such test tasks did not require conceptual understanding. In contrast, test tasks that do not share important properties with the textbook mostly elicited creative mathematically founded reasoning. In addition, most successful solutions to such tasks were based on this type of reasoning.  相似文献   

19.
The purpose of this study is to contribute insights into how collaborative activity can help promote students’ mathematical understanding. A group of six high school students (15- to 16-year olds) worked together on a challenging probability task as part of a larger, after-school, longitudinal study on students’ development of mathematical ideas in problem-solving settings. The students solved the problem and produced a valid justification of their solution. This study shows that collaborative activity can help promote students’ mathematical understanding by providing opportunities for students to critically reexamine how they make claims from facts and also enable them to build on one another’s ideas to construct more sophisticated ways of reasoning. Implications for classroom teaching and ideas for future research are also discussed. The study helps address a documented need for a better understanding of how mathematical learning evolves in social settings.  相似文献   

20.
Problem-based learning (PBL) is a student centered approach whereby students deal with ill-structured problems while working in small groups. In this study, a path model was utilized to model the relationships among reasoning ability, learning approach, prior knowledge, motivational variables, and achievement in genetics in PBL classes. 126 eighth grade students participated in the study. Results showed that reasoning ability, learning approach, task value, and prior knowledge had direct effects on achievement in genetics. Moreover, reasoning ability and task value were found to have indirect effects which were mediated by learning approach. Interrelationships found among the variables in the path model were discussed considering the characteristics of the PBL environments and suggestions were made for further research.  相似文献   

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