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1.
It was investigated how domain-specific knowledge, fluid intelligence, vocational interest and work-related self-efficacy predicted domain-specific problem-solving performance in the field of office work. The participants included 100 German VET (vocational education and training) students nearing the end of a 3-year apprenticeship program as an industrial clerk (n?=?63) which usually leads to a position in office work, lower or middle management, or a similar apprenticeship program to become IT-systems management assistants (n?=?37). The participants worked on three computer-based problem scenarios dealing with operative controlling, a relevant domain to both training occupations, and completed further assessments to measure the variables listed above. Theoretical considerations, prior research and domain analyses suggested that industrial clerks would have greater domain-specific problem-solving competence (H1a) and domain-specific knowledge (H1b) than IT-systems management assistants and that domain-specific knowledge would be the strongest predictor of problem-solving competence (H2: “knowledge-is-power” hypothesis); all hypotheses were confirmed. Hypothesis 3, the “Elshout-Raaheim hypothesis,” predicts that fluid intelligence and problem-solving competence are most strongly correlated in the context of intermediate levels of task-related content knowledge, however the highest correlation was found in the group with low domain-specific knowledge. The findings suggest that intelligence plays a minor role in later stages of competence development whereas typical problem situations in later stages particularly require prior knowledge. The relationship of intelligence, knowledge and problem solving as well as limitations of the study, particularly weaknesses in the measurement of non-cognitive dispositions, are discussed.  相似文献   

2.
This study examined the role of verbal counting skill as an early predictor of math performance and difficulties (at or below −1.5 standard deviation in basic math skills) in middle school. The role of fourth-grade level arithmetical skills (i.e., calculation fluency, multi-digit arithmetic i.e. procedural calculation, and word problem solving) as mediators was also investigated. The participants included 207 children in central Finland who were studied from kindergarten to the seventh grade. Path modeling showed that verbal counting in kindergarten is a strong predictor for basic math performance in seventh grade, explaining even 52% of the variance in these skills after controlling for the mothers’ education levels. This association between early verbal counting skill and basic math performance was partly mediated through fourth-grade procedural calculation and word problem solving skills. Furthermore, verbal counting had an unique predictive relation to middle school math performance above and beyond the basic arithmetical and problem solving skills in fourth grade. Poor kindergarten verbal counting skill was a significant indicator for later difficulties in mathematics.  相似文献   

3.
The present study compared the relative effects of hands-on and teacher demonstration laboratory methods on declarative knowledge (factual and conceptual) and procedural knowledge (problem-solving) achievement. Of particular interest were (a) whether these relationships vary as a function of reasoning ability and (b) whether prior knowledge and reasoning ability predict student achievement. Ninth-grade physical science students were randomly assigned to classes taught by either a hands-on or a teacher demonstration laboratory method. Students' reasoning ability and prior knowledge of science were assessed prior to the instruction. The two instructional methods resulted in equal declarative knowledge achievement. However, students in the hands-on laboratory class performed significantly better on the procedural knowledge test than did students in the teacher demonstration class. These results were unrelated to reasoning ability. Prior knowledge significantly predicted performance on the declarative knowledge test. Both reasoning ability and prior knowledge significantly predicted performance on the procedural knowledge test, with reasoning ability being the stronger predictor.  相似文献   

4.
The present study aims to explore the use of assessment in mathematics content courses for future elementary school teachers. Analysis of self assessment data on mathematical understanding and peer assessment data on oral mathematical presentation showed that pre-service teachers had a balanced understanding of procedural knowledge and problem solving. Conceptual understanding was not in the structure of pre-service teachers’ mathematical knowledge. Understandings of conceptual knowledge, procedural knowledge, and problem solving had no meaningful effects on gains in mathematics performance. Aspects of oral mathematical presentation were associated with improved understanding of procedural knowledge and in particular conceptual knowledge. The result of the study calls for a conceptual approach to mathematical knowledge and sufficient mathematical problem solving in college-level mathematics content courses and in particular the infusion of assessment into college-level mathematics education for pre-service teachers.  相似文献   

5.
This longitudinal study aimed to investigate the extent to which primary school text comprehension predicts mathematical word problem-solving skills in secondary school among Finnish students. The participants were 224 fourth graders (9–10 years old at the baseline). The children’s text-reading fluency, text comprehension and basic calculation ability were tested in grade four. In grade seven and nine, their skills in solving mathematical word problems were assessed. Overall, the results showed that text comprehension in grade four of primary school predicts math word problem-solving skills in secondary school, after controlling for text-reading fluency and basic calculation ability. Among boys, good text comprehension skills in grade four predicted good math word problem-solving skills in grade seven. Among girls, good text comprehension skills in grade four predicted their subsequent mathematical word problem performance in grade nine. The practical implications of the results are discussed as well.  相似文献   

6.
Problem solving and transfer   总被引:2,自引:0,他引:2  
Problem solving is an important yet elusive educational goal. This article briefly reviews the research on the components of problem solving and two mechanisms for fostering the transfer of problem-solving strategies--low-road transfer and high-road transfer. The interactions between these two mechanisms and two types of content (domain-specific knowledge and higher order thinking) are then discussed. Exploratory research on one of the interactions (low-road transfer of higher-order thinking) is summarized, with a particular focus on the performance of students with disabilities. Finally, some implications for curriculum and instruction are outlined.  相似文献   

7.
With a Meta-Analytic Structural Equation Modeling approach, we investigated the role of whole-number knowledge on fraction performance, accounting for domain-general skills, age, and mathematics-difficulty status. We conducted analyses based on 6,096 students from 39 independent samples within 29 studies. Findings suggested conceptual whole-number knowledge emerged as a significant and stable predictor of conceptual and procedural fraction knowledge. More importantly, students experiencing mathematics difficulty demonstrated a distinct pattern of performance compared to typically-achieving students, including: conceptual whole-number knowledge had lesser impacts on conceptual fraction knowledge; procedural whole-number knowledge had greater impacts on procedural fraction knowledge; and working memory and fluid intelligence made fewer contributions to fraction knowledge.  相似文献   

8.
This study investigated the effects of domain-general and domain-specific scaffolds with different levels of support, continuous and faded, on learning of scientific content and problem-solving. Students’ scores on a multiple-choice pretest, posttest, and four recommendation forms were analyzed. Students’ content knowledge in all conditions significantly increased from pretest to posttest. However, the continuous domain-specific condition outperformed the other conditions on the posttest. Although domain-general scaffolds were not as effective as domain-specific scaffolds on learning content and problem representation, they helped students develop solutions, make justifications, and monitor learning. Unlike domain-specific scaffolds, domain-general scaffolds helped students transfer problem-solving skills when they were faded. Several suggestions are discussed for making improvements in the design of scaffolds to facilitate ill-structured problem solving.  相似文献   

9.
Abstract

The present study examined phonological processing skills (phonological memory, phonological awareness, and rapid automatised naming, RAN) in relation to early Chinese reading and early Chinese mathematics for young children. Early Chinese reading was assessed with single character reading and multi-character word reading, and early mathematics was assessed with procedural arithmetic and arithmetic story problems. Among 86 Chinese kindergarteners, phonological processing skills explained 20% of the variance in character reading and 28% of the variance in word reading; they accounted for 8% of the variance in arithmetic and 11% of the variance in story problem performance. Specifically, findings further highlight the general importance of phonological awareness in early Chinese single character reading, word reading, simple arithmetic and story problems, and the specific role of RAN in single character reading and simple arithmetic.
  • Highlights
  • Phonological awareness and rapid automatised naming explained unique variance in Chinese single character reading and procedural arithmetic.

  • Only phonological awareness significantly accounted for unique variance in Chinese word reading and arithmetic story problems.

  • The associations of phonological awareness with procedural arithmetic and arithmetic story problem were maintained even beyond other variables.

  相似文献   

10.
Using a sample of 531 10-year-olds from Germany and the United States, the study investigated the relationships among the structure of everyday experience, domain-specific control beliefs, acquisition of science knowledge, and solving of everyday technical problems. It assumed that children acquire operative schemata through daily experiences with technical objects and toys which not only transfer to solving technical everyday problems but also have a positive influence on school science learning. It was also thought that the covariation between technical everyday experiences and science achievement/technical problem solving would be mediated by control beliefs. A causal model, developed and tested by means of structural equation modeling, showed that domain-specific out-of-school experience only indirectly influences problem-solving performance, mediated by control beliefs. © 1998 John Wiley & Sons, Inc. J Res Sci Teach 35: 987–1013, 1998.  相似文献   

11.
ABSTRACT. Two groups of middle school students were taught U.S. colonial history during a 5-week period using 2 different instructional strategies. In the experimental group, concepts and problem-solving strategies were explicitly taught; in the control group, content was presented using lectures and reading. All students took a pretest and several posttests. Declarative knowledge tasks measured factual content knowledge and domain vocabulary acquisition; procedural knowledge was measured with problem-solving essays. Whereas performance was not statistically different between the 2 groups on the fact tests, significant differences were found on the vocabulary tests and problem-solving essays. These findings support using direct instruction for relational thinking and problem solving with explicit reference to concepts and attributes.  相似文献   

12.
A regression design was used to test the unique and interactive effects of self-efficacy beliefs and metacognitive prompting on solving mental multiplication problems while controlling for mathematical background knowledge and problem complexity. Problem-solving accuracy, response time, and efficiency (i.e. the ratio of problems solved correctly to time) were measured. Students completed a mathematical background inventory and then assessed their self-efficacy for mental multiplication accuracy. Before solving a series of multiplication problems, participants were randomly assigned to either a prompting or control group. We tested the motivational efficiency hypothesis, which predicted that motivational beliefs, such as self-efficacy and attributions to metacognitive strategy use are related to more efficient problem solving. Findings suggested that self-efficacy and metacognitive prompting increased problem-solving performance and efficiency separately through activation of reflection and strategy knowledge. Educational implications and future research are suggested.  相似文献   

13.
ABSTRACT— This article examines the role of working memory, attention shifting, and inhibitory control executive cognitive functions in the development of mathematics knowledge and ability in children. It suggests that an examination of the executive cognitive demand of mathematical thinking can complement procedural and conceptual knowledge-based approaches to understanding the ways in which children become proficient in mathematics. Task analysis indicates that executive cognitive functions likely operate in concert with procedural and conceptual knowledge and in some instances might act as a unique influence on mathematics problem-solving ability. It is concluded that consideration of the executive cognitive demand of mathematics can contribute to research on best practices in mathematics education.  相似文献   

14.
This study tested the constructivist hypothesis that the acquisition of domain-specific conceptual knowledge (declarative knowledge) requires use of general procedural knowledge. More specifically, it was hypothesized that use of a general pattern of hypothetico-deductive reasoning is necessary for the acquisition of novel domain-specific concepts. To test this hypothesis 314 high school biology and chemistry students were first tested to determine whether or not they were skilled in the use of hypothetico-deductive reasoning. Based on this test, students were classified as reflective, transitional, or intuitive thinkers. All students were then presented with a series of four concept-acquisition tasks. It was predicted that reflective (hypothetico-deductive) thinkers would acquire the concepts while intuitive (empirico-inductive) thinkers would not. Transitional thinkers were expected to be partially successful. These predictions were confirmed as skill in hypothetico-deductive reasoning (developmental level), but not age, was highly correlated with performance on the concept acquisition tasks (X2 = 71.14, p < 0.00001). This result was interpreted to be supportive of the constructivist hypothesis.  相似文献   

15.
This paper reports on a study of undergraduate genetics students' conceptual and procedural knowledge and how that knowledge influences students' success in pedigree problem solving. Findings indicate that many students lack the knowledge needed to test hypotheses relating to X-linked modes of inheritance using either patterns of inheritance or genotypes. Case study data illustrate how these knowledge deficiencies acted as an impediment to correct and conclusive solutions of pedigree problems. Specializations: problem solving, laboratory work, conceptual change, science teacher education.  相似文献   

16.
Students with learning disabilities (LD) consistently struggle with word problem solving in mathematics classes. This difficulty has made curricular, state, and national tests particularly stressful, as word problem solving has become a predominant feature of such student performance assessments. Research suggests that students with LD perform poorly on word problem‐solving items due primarily to deficits in problem representation. Therefore, it is imperative that teachers provide these students with supplemental problem‐solving instruction that specifically targets the development of representational strategies. This article describes how one representational strategy, using number lines, can be used to model word problems as part of a comprehensive problem‐solving intervention to improve the conceptual understanding of math word problems and, subsequently, the problem‐solving performance of students with LD.  相似文献   

17.
This study analysed the different types of arithmetic knowledge that young children utilise when solving a multiple-step addition task. The focus of the research was on the procedural and conceptual changes that occur as children develop their overall problem solving approach. Combining qualitative case study with a micro-genetic approach, clinical interviews were conducted with ten 5–6-year-old children. The aim was to document how children combine knowledge of addition facts, calculation procedures and arithmetic concepts when solving a multiple-step task and how children’s application of different types of knowledge and overall solving approach changes and develops when children engage with solving the task in a series of problem solving sessions. The study documents children’s pathways towards developing a more effective and systematic approach to multiple-step tasks through different phases of their problem solving behaviour. The analysis of changes in children’s overt behaviour reveals a dynamic interplay between children’s developing representation of the task, their improved procedures and gradually their more explicit grasp of the conceptual aspects of their strategy. The findings provide new evidence that supports aspects of the “iterative model” hypothesis of the interaction between procedural and conceptual knowledge and highlight the need for educational approaches and tasks that encourage and trigger the interplay of different types of knowledge in young children’s arithmetic problem solving.  相似文献   

18.
19.
Contextual problems involving rational numbers and proportional reasoning were presented to seventh grade students with different curricular experiences. There is strong evidence that students in reform curricula, who are encouraged to construct their own conceptual and procedural knowledge of proportionality through collaborative problem solving activities, perform better than students with more traditional, teacher-directed instructional experiences. Seventh grade students, especially those who study the new curricula, are capable of developing their own repertoire of sense-making tools to help them to produce creative solutions and explanations. This is demonstrated through analysis of solution strategies applied by students to a variety of rate problems.  相似文献   

20.
In this paper the augmentation of worked examples with animations for teaching problem-solving skills in mathematics is advocated as an effective instructional method. First, in a cognitive task analysis different knowledge prerequisites are identified for solving mathematical word problems. Second, it is argued that so called hybrid animations would be most effective for acquiring these prerequisites, because they show the continuous transition from a concrete, but superficial problem representation to a more abstract, mathematical problem model that forms a basis for solving a problem. An experiment was conducted, where N = 32 pupils from a German high school studied either only text-based worked examples explaining different problem categories from the domain of algebra or worked examples augmented with hybrid animations. Learners with hybrid animations showed superior problem-solving performance for problems of different transfer distance relative to those in the text-only condition.  相似文献   

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