空间几何问题解决过程中工作记忆资源分配策略的个体差异

中学生工作记忆资源分配策略的研究结果表明:(1)随着问题难度的增加,首次内部思考时间也在增加.在解决简单问题时,学优生与学困生的首次内部思考时间没有显著差异,但是在解决中等题和难题时,学优生与学困生的首次内部思考时间存在显著差异.(2)学优生使用外部策略的总频数呈现随着数学问题难度的增大而增加的趋势,而学困生使用外部策略的频数呈下降的趋势.这说明,较学困生而言,学优生能够较合理地利用工作记忆资源.     

Cognitive development and problem solving of Afro-American students in chemistry

The aims of this study were to investigate the level of cognitive development of Afro-American students enrolled in general chemistry courses at the college level and to determine the strategies used by both successful and unsuccessful Afro-American students in solving specific types of stoichiometric problems. It was found that the choice of a strategy is not significantly related to cognitive development of the student in specific types of stoichiometric problems. However, the following trend was noted: Students who are formal-operational in thought are more likely to be successful when solving mole-volume problems and complex mole-mole problems than are their concrete-operational counterparts. Additionally, a systematic strategy proved to be successful for the students, regardless of the cognitive development, when balancing simple and complex chemical equations. Also, algorithmic/reasoning strategies were needed to solve the mole-volume problem. A higher level of cognitive development and reasoning may be crucial factors in solving the more sophisticated types of problems in stoichiometry.     

Diagrammatic Literacy in Secondary Science Education

Students in secondary science education seem to have difficulties with understanding diagrams. The present study focused on explanatory factors that predict students’ difficulties with process diagrams, i.e., diagrams that describe a process consisting of components that are related by arrows. From 18 compulsory national Biology exams of secondary school pre-university students, all process diagram tasks (n?=?64) were included in corpus. Features of the task, student, and diagram were related to the difficulty of that particular task, indicated by the cohort mean exam score. A hierarchical regression analysis showed main effects for (1) the cognitive task demand, (2) the familiarity of the components, and (3) the number of components in a diagram. All these main effects were in the expected direction. We also observed interactions. Within the category of tasks with a high cognitive demand, tasks about a diagram of which students have low prior content knowledge were more difficult than tasks about a diagram of which students have high prior content knowledge. Tasks with a high cognitive demand about a diagram with familiar arrows were, surprisingly, more difficult than tasks with a high cognitive demand about a diagram with unfamiliar arrows. This latter finding might be attributed to compensation for task difficulty by the large number of components in the diagrams involved. The final model explained 46 % of the variance in exam scores. These results suggest that students have difficulties (1) with tasks that require a deeper understanding when the content is new, (2) with diagrams that use unfamiliar component conventions, and (3) with diagrams that have a small number of components and are therefore probably more abstract.     

An Integrative Perspective on Students’ Proportional Reasoning in High School Physics in a West African Context

This study examines students’ use of proportional reasoning in high school physics problem‐solving in a West African school setting. An in‐depth, constructivist, and interpretive case study was carried out with six physics students from a co‐educational senior secondary school in Nigeria over a period of five months. The study aimed to elicit students’ meanings, claims, concerns, constructions, and interpretations of their difficulty with proportional reasoning as they worked on a series of 18 high school physics tasks. Multiple qualitative research techniques were employed to generate, analyse, and interpret data. Results indicated that several socio‐cultural, psychosocial, cognitive, and mathematical issues were associated with students’ use of proportional reasoning in physics. Students’ capacity to reason proportionally was not only linked to their difficulty with the concept, structure, and strategies of proportional reasoning as a learning and problem‐solving skill, but was also embedded in the social, cultural, cognitive, and contextual elements involved in the learning of physics. The study concludes with a discussion of the implications for teaching high school physics.     

The Role of Beliefs and Motivational Variables in Enhancing Word Problem Solving

A Word Problem Enrichment programme (WPE) has been found to increase student word problem solving performance when facing non-routine and application problems. However, it is unknown if the WPE has an impact on student beliefs about word problem solving and how the WPE works for students with different motivation in learning mathematics. This study investigated the impact of the WPE on student beliefs about word problem solving by using Latent Profile Analysis and Structural Equation Modelling to analyse relations among the different cognitive, motivation, and belief factors. A total of 170 fourth- and sixth-grade students from elementary schools participated. Results showed that the effects of WPE are various depending on students’ initial motivation level. The impacts of the WPE on student beliefs were found only in students with a low initial motivation level, while its impacts on student problem-solving performance were found only in students with a high initial motivation level.     

Metacognitive strategy use of eighth-grade students with and without learning disabilities during mathematical problem solving: a think-aloud analysis

The purpose of the study was to investigate the metacognitive abilities of students with LD as they engage in math problem solving and to determine processing differences between these students and their low- and average-achieving peers (n = 73). Students thought out loud as they solved three math problems of increasing difficulty. Protocols were coded and analyzed to determine frequency of cognitive verbalizations and productive and nonproductive metacognitive verbalizations. Results indicated different patterns of metacognitive activity for ability groups when type of metacognitive verbalization and problem difficulty were considered. Implications for instruction are discussed.     

The Impact of Learner’s Prior Knowledge on Their Use of Chemistry Computer Simulations: A Case Study

It is complicated to design a computer simulation that adapts to students with different characteristics. This study documented cases that show how college students’ prior chemistry knowledge level affected their interaction with peers and their approach to solving problems with the use of computer simulations that were designed to learn electrochemistry. Students with different prior knowledge levels were found to use different approaches to solving problems with the use of computer simulations. In particular, the cases showed that students with a high level of prior knowledge tended to use the equations and formulas to accomplish the learning tasks and then use the computer simulations to confirm their predictions. Students with a low level of prior chemistry knowledge used the computer simulations as the main resources to accomplish their tasks. Considerations of individual differences and the integration of learning materials were suggested for further research on instructional use of computer simulations.     

Situational interest,cognitive engagement,and achievement in physical education

Students’ learning has been the center of schooling. This study examined the contribution of situational interest motivation and cognitive engagement in workbooks to student achievement in learning health-related fitness knowledge. Situational interest, performance on solving workbook problems, and knowledge gain in cardio-respiratory fitness and benefits were measured in 670 third-grade students from 13 randomly selected urban elementary schools. Structural equation modeling and regression curve estimation analyses revealed that situational interest contributed little to workbook performance and knowledge gain. Performance on solving workbook problems contributed significantly to knowledge gain. The results also show that skipping workbook tasks had stronger negative impact on knowledge gain than performing the tasks incorrectly, suggesting the importance of engaging students in the learning process by attempting the workbook tasks. The findings reinforced the value of using workbooks to facilitate cognitive knowledge learning in physical education, but raised questions about the direct function of situational interest on engaging students in cognitive learning.     

Teacher prediction of student difficulties while solving a science inquiry task: example of PISA science items

This study focuses on the teachers’ predictions of the students’ performances – in particular the middle-low achievers – while solving tasks testing inquiry competencies. The tasks come from PISA science. More specifically we study science teachers’ predictions for several aspects: levels of difficulty of the tasks, the potential sources of difficulty and the potential difficulty in solving it for medium-low achievers. We also study what assessed competencies are identified by science teachers in the tasks. Our approach is a questionnaire-based study. A sample of French teachers in science and technology (125) responded to the questionnaire. The teachers show a rather good ability to predict inquiry task levels of difficulty for medium-low achievers and are able to identify relevant potential sources of difficulty or easiness in the items. However, they are not aware of some essential difficulties that medium-low students encounter while solving science inquiry tasks. Moreover, the teachers have difficulty identifying the competencies that are tested by an item.     

Collaborative Problem Solving in Five‐Year‐Old Children: Evidence of social facilitation and social loafing

Children’s problem solving while working by themselves or with a partner was investigated to explore whether young children are susceptible to social facilitation and social loafing. Five‐year‐olds were asked to complete easy or hard puzzles, either alone or with a partner. Half of the children were given instructions indicating that their performance would be evaluated and the other half were not. Children showed social facilitation, in that they performed better with a partner than when working alone under evaluation conditions, with the easy puzzle. Children also showed social loafing, in that performance with a partner was poorer when working under no evaluation than evaluation conditions, with the easy puzzle. Performance with the hard puzzle did not differ whether children worked alone or with a partner, but children working on the hard puzzle under no evaluation conditions performed better than those working under evaluation conditions. The findings suggest that evaluation affects children’s performance in group settings in different ways depending on task difficulty.     

Algebraic Problem Solving for Middle School Students with Autism and Intellectual Disability

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.     

Problem-solving skills of high school chemistry students

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.     

高职院校大学生职业成熟度与职业决策自我效能的关系研究

以某职业技术学院650名学生为研究对象,采用问卷调查法,选择职业成熟度问卷和职业决策自我效能问卷研究了高职院校大学生职业成熟度与职业决策自我效能之间的关系。结果表明：不同生源地的高职生职业成熟度和自我决策效能总分不存在显著性差异;但城市学生的职业认知水平较高,而农村学生更善于解决具体问题,城市学生职业成熟度较高;不同性别的高职生职业决策自我效能存在非常显著的差异,男生的职业决策自我效能大于女生;不同年级的学生职业成熟度和自我决策不存在显著性差异,但在成熟度的职业目标和职业自主维度上存在显著的差异。职业成熟度与职业决策自我效能之间存在显著性正相关。     

Cognitive restructuring as an early stage in problem solving

This article examines the hypothesis that there are preliminary stages in problem solving which most chemists neglect when trying to teach their students how to solve problems in introductory chemistry courses. It is during these early stages that relevant information is disembedded from the question and the problem is restructured. Unless students can successfully complete these cognitive restructuring stages, they cannot proceed on to the more analytic stages in problem solving that have received more attention from chemists. Preliminary evidence for this hypothesis consists of linear correlations between student ability to handle disembedding and cognitive restructuring tasks in the spatial domain and their ability to solve chemistry problems.     

Why face a challenge?: The reason behind intrinsically motivated students' spontaneous choice of challenging tasks

In a task choice situation, why do some students spontaneously choose challenging tasks while others do not? In the study, 114 undergraduate students were first asked of their perceived competence and interest in solving number puzzles at both individual and situational levels, and then asked to choose one puzzle from four difficulty levels. They received no performance feedback throughout the session. Regression analyses indicated that the students with higher individual interest levels chose more challenging puzzles, while the students with higher levels of perceived competence and low levels of individual interest did not necessarily choose difficult puzzles. The students who chose more challenging puzzles attributed their choices to interest rather than perceived competence. The study suggests a limitation of relying on students' self-reported confidence in their ability and the importance of conceptualizing individual interest as the reason behind the choice of challenging tasks in a low-pressure task choice environment.     

Exploring problem conceptualization and performance in STEM problem solving contexts

Problem solving abilities are critical components of contemporary Science, Technology, Engineering and Mathematics (STEM) education. Research in the area of problem solving has uncovered much about the representation, processes and heuristic approaches to problem solving. However, critics claim this overemphasis on the process of solving problems has led to a dearth in understanding of the earlier stages such as problem conceptualization. This paper aims to address some of these concerns by exploring the area of problem conceptualization and the underlying cognitive mechanisms that may play a supporting role in reasoning success. Participants (N?=?12) were prescribed a series of convergent problem-solving tasks representative of those used for developmental purposes in STEM education. During the problem-solving episodes, cognitive data were gathered by means of an electroencephalographic headset and used to investigate students’ cognitive approaches to conceptualizing the tasks. In addition, interpretive qualitative data in the form of post-task interviews and problem solutions were collected and analyzed. Overall findings indicated a significant reliance on memory during the conceptualization of the convergent problem-solving tasks. In addition, visuospatial cognitive processes were found to support the conceptualization of convergent problem-solving tasks. Visuospatial cognitive processes facilitated students during the conceptualization of convergent problems by allowing access to differential semantic content in long-term memory.

     

All good readers are the same,but every low-skilled reader is different: an eye-tracking study using PISA data

PISA results show that a considerable number of 15-year-old pupils after 8 to 10 years of schooling have a low level of functional reading literacy, as defined in the PISA framework. While PISA results help identify the level of reading competency, they do not reveal what might be the reasons why some students fail to solve the tasks. One way to explore the difficulties students encounter while solving PISA reading tasks is to track their eye movements during reading. The main aim of this study was to explore the similarities and differences in eye movement patterns between students with high and low scores on PISA reading tasks. A sample of 92 students took part in the pre-test, which was based on PISA items, and administered to identify groups of students with high and low PISA reading scores. Based on student pre-test results, 20 students were selected for the main, eye-tracking test—10 participants with low scores and 10 with high scores. The eye-tracking test consisted of four different released PISA reading tasks, three of them continuous and one non-continuous. The continuous items were followed by one multiple-choice question each at L1, L2, and L3 levels of difficulty. The non-continuous text was followed by three multiple-choice questions (also L1–L3).Three main findings were the following: regarding saccadic amplitudes, the reading was found to be less fluent for the low-skilled group; according to the heat maps, they had difficulty finding the relevant material; and taking into account standard deviations of eye-tracking measures, the variability was found to be larger in this group. Taken together, the findings of this study show that the PISA results differentiating low- and high-scoring groups go hand in hand with insights from more fine-grained eye-tracking measurements.     

The relative difficulty of signed arithmetic story problems for primary level deaf and hard-of-hearing students

This study determines the relative difficulty and associated strategy use of arithmetic (addition and subtraction) story problems when presented in American Sign Language to primary level (K-3) deaf and hard-of-hearing students. Results showed that deaf and hard-of-hearing students may consider and respond to arithmetic story problems differently than their hearing peers, with the critical dimension in problem difficulty being based on the operation typically used to solve the problem, not the story within the problem. The types of strategies used by the students supported the order of problem difficulty. The visual-spatial nature of the problem presentation appeared not to assist the deaf and hard-of-hearing students in solving the problems. Factors that may have contributed to this pattern of problem difficulty are discussed so that educators can better align mathematics instruction to the thinking of the deaf child.     

大学毕业生自愿不就业问题浅析

文章认为,目前大学毕业生就业困难原因较多,其中一个不可忽视的现象是大学毕业生自愿不就业。问题的原因主要是居民财富得到大幅度增长、传统观念下父母与子女责任界限模糊、畏惧竞争等,解决的方法主要应从制度设计上尽量消除其经济基础,把经济压力转变为积极就业的动力。     

Arithmetic word problem solving. Are authentic word problems easier to solve than standard ones? / Resolución de problemas aritméticos verbales. ¿Se resuelven mejor si se presentan como problemas auténticos?

This study analysed the effectiveness of presenting mathematical problems as ‘authentic’, which simulated the main aspects of situations in which students are usually involved. To do so, four independent variables were considered: level of mathematical difficulty (easy or difficult); rewording: standard problems (similar to those presented in textbooks), authentic and containing irrelevant situational information; mathematical ability (measured by means of the BADyG test); and reading comprehension level (measured with the comprehension task from the PROLEC-R test). The dependent measure was the success rate of a sample of 156 primary education children (grades four, five and six) in solving each kind of word problem. The results showed that the authentic versions of difficult problems were solved more successfully than other versions by students with high levels of mathematical aptitude and reading comprehension. That means that authentic wording is useful when children are able to understand the added information and have the mathematical knowledge necessary to interpret it.