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1.
Cognitive correlates of math skills in third-grade students 总被引：1，自引：1，他引：0
Math achievement is not a unidimensional construct but includes different skills that require different cognitive abilities. The focus of this study was to examine associations between a number of cognitive abilities and three domains of math skills (knowing, applying and problem solving) simultaneously in a multivariate framework. Participants were 723 third-grade children (mean age?=?9.07) from 28 elementary schools. Confirmatory factor analyses with binary indicators showed that a four-factor model of math skills (Knowing-Recalling, Knowing-Computing, Applying and Problem Solving) and a nine-factor model of cognitive abilities (Nonverbal and Verbal Reasoning, Verbal Concepts, Planning, Visuo-Spatial Working Memory (WM), two types of Verbal WM, Phonological Awareness and Phonological WM) fit the data well. Results from structural equation modelling showed that verbal reasoning and verbal concepts were most consistently associated with math knowing and problem solving domains. Verbal concepts contributed also to the math applying domain. In addition, simultaneous processing of verbal WM predicted problem solving skills in math. The results can be used in supporting the learning process of students with difficulties in math. 相似文献
2.
Mathematical learning difficulties and PASS cognitive processes 总被引：4，自引：0，他引：4
This study examined the relationships between mathematical learning difficulties (MLD) and the planning, attention, simultaneous, successive (PASS) theory of cognitive processing. The Cognitive Assessment System (CAS) was used to measure the PASS processes for a group of 267 Dutch students with MLD who attended either general or special education. The results showed that students with MLD performed lower than their peers on all CAS scales and that the MLD group contained many students with cognitive weaknesses in planning or successive processing. Moreover, students who had specific difficulties with the acquisition of basic math facts, the automatization of such facts, or word-problem solving were found to have distinct PASS cognitive profiles. In order to investigate the relationships between cognitive abilities and improvement in the mastery of basic math facts and problem solving, 165 of the students with MLD were given a special multiplication intervention. It appeared that the effectiveness of this particular intervention did not differ across the groups of students with specific cognitive weaknesses. 相似文献
3.
Paloma Gonzlez‐Castro Marisol Cueli Dbora Areces Celestino Rodríguez Georgios Sideridis 《Learning disabilities research & practice》2016,31(3):142-155
Problem solving represents a salient deficit in students with mathematical learning difficulties (MLD) primarily caused by difficulties with informal and formal mathematical competencies. This study proposes a computerized intervention tool, the integrated dynamic representation (IDR), for enhancing the early learning of basic mathematical competencies and word problem solving skills. The goal was to compare and contrast the effects of IDR on the acquisition of informal and formal mathematical competencies in students with attention deficit/hyperactivity disorder (ADHD) and MLD. Participants were 216 students (6–9 years), who were classified into three groups: ADHD (n = 72), MLD (n = 82), ADHD and MLD (n = 62). They completed the Test of Early Mathematics Ability (Third Edition). The results showed that all three diagnosed groups improved significantly postintervention in all mathematical competencies, with the MLD‐only group benefiting the most at posttest. 相似文献
4.
《Learning and individual differences》2004,14(2):91-105
The purpose of this study was to examine the effects of actively categorizing math problems on the math problem solving performance of students with and without attention deficit disorder (ADD). To this purpose, 52 fifth and sixth grade students were involved in actively categorizing or noncategorizing (control) tasks followed by two problem solving activities. The results of this study indicated that students more frequently organize math problems by categories based on deeper structures (i.e., concepts or operations) when they were informed of the features to look for than students who organized math problems on their own. However, those students who actively organized the math problems and formed categories on their own had higher accuracy in an assessment of generality in a subsequent problem solving task than students who were earlier given categories. These effects were similar for both groups and provided generality to prior research on recall performance to assessing problem solving. 相似文献
5.
Adia J. Garrett Michle M. M. Mazzocco Linda Baker 《Learning disabilities research & practice》2006,21(2):77-88
Metacognition refers to knowledge about one's own cognition. The present study was designed to assess metacognitive skills that either precede or follow task engagement, rather than the processes that occur during a task. Specifically, we examined prediction and evaluation skills among children with (n= 17) or without (n= 179) mathematics learning disability (MLD), from grades 2 to 4. Children were asked to predict which of several math problems they could solve correctly; later, they were asked to solve those problems. They were asked to evaluate whether their solution to each of another set of problems was correct. Children's ability to evaluate their answers to math problems improved from grade 2 to grade 3, whereas there was no change over time in the children's ability to predict which problems they could solve correctly. Children with MLD were less accurate than children without MLD in evaluating both their correct and incorrect solutions, and they were less accurate at predicting which problems they could solve correctly. However, children with MLD were as accurate as their peers in correctly predicting that they could not solve specific math problems. The findings have implications for the usefulness of children's self‐review during mathematics problem solving. 相似文献
6.
Development of early math skill depends on a prerequisite level of cognitive development. Identification of specific cognitive skills that are important for math development may not only inform instructional approaches but also inform assessment approaches to identifying children with specific learning problems in math. This study investigated the specific cognitive correlates of math problem solving across early grade levels (1–4) while controlling for basic calculation skills. As expected, basic calculation skill was a significant predictor of math problem solving across the entire sample. However, the addition of cognitive measures almost doubled the variance explained (R2 = .61). Additionally, only select cognitive variables contributed to the prediction of math problem solving, and these variables change in importance as children develop higher‐level math skills. Results are discussed within a developmental model, which emphasizes the increasing importance of abstract code representations required in higher levels of math performance. 相似文献
7.
Abstract: The current generation of students coming into food science and engineering programs is very visually oriented from their early experiences. To increase their interest in learning, new and visually appealing teaching materials need to be developed. Two diverse groups of students may be identified based on their math skills. Food science students tend to find it difficult to use mathematics as a problem‐solving tool for food engineering problems. Food engineering students, on the other hand, should be challenged to use emerging mathematical tools to develop their problem‐solving skills. Therefore, the approach of this project involved the development of a curriculum to train undergraduate food engineers in the effective use of computational fluid dynamics (CFD) software to solve food engineering problems by engaging them in the creation of food engineering teaching tools. These CFD outputs were then used as innovative teaching tools for the food science students. In this paper, this concept will be illustrated by unsteady‐state heat transfer and fluid flow problems. To evaluate the efficiency of the teaching materials developed, a student focus group was asked to answer the same quiz following a conventional and CFD output aided teaching session. The assessment result showed an improved understanding of the subject after the CFD teaching session. These visual aids were excellent tools to illustrate the validity of the formulas presented in class. In addition, the new visual materials enabled a better understanding of the relationships among different process parameters. In general, this helped the food science students better appreciate the food engineering concepts that govern food processing operations. 相似文献
8.
The current study aimed at identifying the difficulties experienced by children with mathematics learning disability (MLD) in the problem representation phase of arithmetic word problem solving using a novel problem types identification task. An MLD group (n = 66) and a typically achieving control group (n = 139) were recruited for an assessment on problem type identification as well as some domain-general and mathematics-related cognitive abilities. Results from ANCOVA showed that the MLD group scored significantly lower than the typically achieving control group on this assessment, after controlling for the effect of cognitive correlates, reading achievement and arithmetic performance. Furthermore, this assessment significantly predicted MLD membership even after taking children's arithmetic competency into account. The current study confirmed the difficulties in problem representation of arithmetic word problems experienced by students with MLD and provided evidence for the need to introduce schema instructions in mathematics classes. 相似文献
9.
Spreadsheets as cognitive tools: A study of the impact of spreadsheets on problem solving of math story problems 总被引：2，自引：0，他引：2
Kostas Lavidas Vasilis Komis Vasilis Gialamas 《Education and Information Technologies》2013,18(1):113-129
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
10.
This study investigated the effect of instruction with a cognitive tutoring software system in a remedial algebra course. The performance on algebra tasks of students who attended the experimental (cognitive tutor) and a control class was compared. The results indicated that the two groups of students were equally proficient with respect to algebraic manipulation skills. However, students who attended the experimental algebra section performed significantly better in problem solving than students in the control section. This finding suggested that the use of the cognitive tutor (a) improved students' problem‐solving abilities; (b) fostered student development of richer concepts of variable and function; and (c) improved students' procedural abilities in approaching and carrying through mathematical analyses of relatively complex situations. 相似文献
11.
Peter Akinsola Okebukola 《教育心理学》1992,12(2):113-129
Problem solving is an enduring issue in science education, ostensibly because science itself is basically concerned with problem solving—exploring the universe and seeking answers to intriguing phenomena in nature. Remarkable strides have been made in psychology about recording the minutiae of problem solving as a cognitive process. Concept mapping, a metalearning tool, is appearing on the scene as a potential pathway for promoting the acquisition of problem‐solving skills. Drawing 40 subjects from a pool of students who experienced cooperative and individualistic concept‐mapping experiences for six months and adjudged to be good concept mappers, this study found the concept‐, mapping group to be significantly more successful in solving three biological problems than 20 subjects who served as control. Written and think‐aloud procedures and interviews were conducted as part of the administration of the Biology Problem Solving Test. No statistically significant difference was found between students who mapped concepts cooperatively and those who mapped individually. There were mixed results for gender. The implications of the findings for further research and for improving problem‐solving abilities of students are drawn. 相似文献
12.
Joakim Samuelsson 《Educational Psychology in Practice》2008,24(3):237-250
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
13.
This study was designed and carried out to examine the effect of problem‐solving training on the acquisition of interpersonal problem‐solving skills by 5 year‐old children. The subjects consisted of 74 5 year‐olds (34 girls and 40 boys) attending a kindergarten in Ankara, Turkey. Of these children 38 were assigned to the experimental group and 36 to the control group. The procedure consisted of pre‐testing, training and post‐testing activities. The training phase involved a programme of activities that required working with children for a certain period of time every day for 14 weeks. In the statistical analysis of the data collected ‘Chi‐Square (x2) test for significance’ was used for the evaluation of the differences between the experimental and control groups. The results were also evaluated on the basis of ‘the significance test for the difference between two means’. This was used to study the relationship between variables. The results showed that problem‐solving training was effective in helping 5 year‐old kindergarten children acquire interpersonal problem‐solving skills. 相似文献
14.
E. Viles 《Teaching Statistics》2008,30(2):57-60
In this article I present an activity introducing statistical concepts to engineering students to help them develop inductive reasoning and problem‐solving skills. 相似文献
15.
L. Oriana Linares Nicole Rosbruch Marcia B. Stern Martha E. Edwards Gillian Walker Howard B. Abikoff Jose Ma. J. Alvir 《Psychology in the schools》2005,42(4):405-417
This preliminary study examined intervention effects of a universal prevention program offered by classroom teachers to public elementary school students. The Unique Minds School Program (M.B. Stern, 1999) is a teacher‐led program designed to promote cognitive‐social‐emotional (CSE) skills, including student self‐efficacy, problem solving, social‐emotional competence, and a positive classroom climate, with the dual goal of preventing youth behavioral problems and promoting academic learning. During 2 consecutive school years, 119 students and their teachers were assessed in the fall and spring of Grade 4 and again in the spring of Grade 5. As compared to students in the comparison school, students in the intervention showed gains in student self‐efficacy, problem solving, social‐emotional competencies, and math grades. Incremental gains within CSE domains were found after 1 and 2 years of intervention. © 2005 Wiley Periodicals, Inc. Psychol Schs 42: 405–417, 2005. 相似文献
16.
Mike Cass Dennis Cates Michelle Smith Cynthia Jackson 《Learning disabilities research & practice》2003,18(2):112-120
Abstract. A multiple baseline design was employed to test the effect of manipulative instruction on the perimeter and area problem‐solving performance of middle and high school students who had been diagnosed with LD in the area of mathematics. Modeling, prompting/guided practice, and independent practice in conjunction with manipulative training were employed to teach both perimeter and area problem‐solving skills. Analysis of data revealed that the students rapidly acquired the problem‐solving‐skills, maintained these skills over a two‐month period, and transferred these skills to a paper and pencil problem‐solving format. This research extends previous findings by revealing that use of concrete manipulatives promotes the long‐term maintenance of skills. 相似文献
17.
Often mathematical instruction for students with disabilities, especially those with learning disabilities, includes an overabundance of instruction on mathematical computation and does not include high-quality instruction on mathematical reasoning and problem solving. In fact, it is a common misconception that students with learning disabilities are not strong problem solvers in general. This article highlights the inherent problem solving strengths that students with learning disabilities possess; how they use those skills to address everyday barriers and challenges, and how teachers can relate these skills to academic mathematical instruction. Additionally, practical classroom examples, suggested teaching strategies, and questions for further examinations are discussed. 相似文献
18.
19.
Cognitive characteristics of children with mathematics learning disability (MLD) vary as a function of the cutoff criterion used to define MLD 总被引：1，自引：0，他引：1
Researchers of mathematics learning disability (MLD) commonly use cutoff scores to determine which participants have MLD. Some researchers apply more restrictive cutoffs than others (e.g., performance below the 10th vs. below the 35th percentile). Different cutoffs may lead to groups of children that differ in their profile of math and related skills, including reading, visual-spatial, and working memory skills. The present study assesses the characteristics of children with MLD based on varying MLD definitions of math performance either below the 10th percentile (n = 22) or between the 11th and 25th percentile (n = 42) on the Test of Early Math Ability, second edition (TEMA-2). Initial starting levels and growth rates for math and related skills were examined in these two MLD groups relative to a comparison group (n = 146) whose TEMA-2 performance exceeded the 25th percentile. Between kindergarten and third grade, differences emerged in the starting level and growth rate, suggesting qualitative differences among the three groups. Despite some similarities, qualitative group differences were also observed in the profiles of math-related skills across groups. These results highlight differences in student characteristics based on the definition of MLD and illustrate the value of examining skill areas associated with math performance in addition to math performance itself. 相似文献
20.
Turner syndrome is a common genetic disorder associated with select deficits in executive functions, working memory and mathematics. In Study 1, we examined growth trajectories of skills in these areas, from grades 1 to 6, among girls with or without Turner syndrome. Rates of growth and performance levels at 6th grade, on an untimed math achievement test, did not suggest that girls with Turner syndrome have math learning difficulty (MLD). However, analyses did reveal lower efficiency on timed executive function tasks, among girls with Turner syndrome, who traded accuracy for speed under mild to moderate working memory demands. In Study 2 we compared numerical processing skills of 6th graders who had either Turner syndrome, MLD, low math achievement, or typical achievement in math. A numerical decomposition task revealed numerical processing deficits for the Turner syndrome and MLD groups, relative to typically achieving students. The relative difficulties in how numerical processing vs. working memory demands affected performance accuracy differed among groups, with the former demands leading to more performance difficulties in the Turner syndrome group. Our findings support the notion that girls with Turner syndrome recruit different strategies than their peers during allegedly basic numerical processing, that numerical processing deficits vs. executive function deficits underlie their difficulties with mathematics, and that math difficulties among these girls may not be apparent on untimed tests. These finding have implications for a possible manifestation of MLD. 相似文献