共查询到20条相似文献，搜索用时 589 毫秒
1.
Astrid Pettersson 《Educational Studies in Mathematics》1991,22(5):439-450
The main purpose of this study was to analyse how pupils, differing in achievement levels in mathematics, performed operations with numbers and solved mathematical problems. What strategies did they use in different grades when they performed the operations and solved the problems correctly, and what types of errors were involved when they solved an item incorrectly? What types of errors disappear and what types of errors remain at a later grade? Five groups of pupils, comprising a total number of 900, who have shown different developments in mathematical achievement from grades 3 to 6 have been studied. When the pupils solved items correctly they used the same strategies irrespective of their total results. However, when they made errors they used a number of different strategies. The results of this study implicate that it is very essential that the teaching be individualised and built upon how the pupils think when solving mathematical problems. 相似文献
2.
Caron A. C. Clark Tiffany D. Sheffield Sandra A. Wiebe Kimberly A. Espy 《Child development》2013,84(2):662-677
Executive control (EC) is related to mathematics performance in middle childhood. However, little is known regarding how EC and informal numeracy differentially support mathematics skill acquisition in preschoolers. A sample of preschoolers (115 girls, 113 boys), stratified by social risk, completed an EC task battery at 3 years, informal numeracy assessments at 3.75 and 4.5 years, and a broad mathematics assessment during kindergarten. Strong associations were observed between latent EC at age 3 and mathematics achievement in kindergarten, which remained robust after accounting for earlier informal numeracy, socioeconomic status, language and processing speed. Relations between EC and mathematics achievement were stronger in girls than in boys. Findings highlight the unique role of EC in predicting which children may have difficulty transitioning to formal mathematics instruction. 相似文献
3.
Mesut Saçkes 《Early education and development》2013,24(5):704-720
Research Findings: The purpose of this study was to investigate the factorial structure of kindergarten children's mathematics and science process skills and the impact of children's competencies in process skills on their performance on mathematics and science achievement tests in 3rd grade. A subset of the Early Childhood Longitudinal Study–Kindergarten cohort data set (n = 8,731) was analyzed using multilevel structural equation modeling. Results demonstrated that science and mathematics process skills were highly related at the construct level but not at the indicator level, as was anticipated. Kindergarten children's competency in mathematics process skills was a strong predictor of their performance on science and mathematics achievement tests in the 3rd grade. However, children's competency in science process skills was only a significant predictor of their performance on a science achievement test in the 3rd grade. Moreover, socioeconomic status and gender were statistically significant predictors of process skills and performance on achievement tests. Practice or Policy: The findings of the present study suggest that the development of children's science and mathematics process skills should be supported utilizing integrated inquiry-based science and mathematics activities to help children recognize the connection between mathematics and science and to contribute to their science and mathematics achievement in later grades. 相似文献
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Mary E. Brenner 《Educational Studies in Mathematics》1998,36(2):123-155
This paper examines how the inclusion of everyday mathematics into classroom instruction can make mathematics more meaningful to students. The concept of mathematical meaningfulness is reviewed and then compared to the experiences of children learning about money at home and at school. The empirical study used interviews and observations to determine what activities Hawaiian children from preschool through second grade did with money at home, while shopping and during classroom lessons. The interview data are used to show what kinds of knowledge children derived from these experiences at different ages. This everyday knowledge is compared to what children were expected to learn about money in school. The data support the conclusion that certain kinds of differences between everyday and school mathematics can make the inclusion of everyday mathematical topics in classrooms problematic. The paper concludes with a discussion of how everyday mathematics can be more profitably included in the curriculum, with examples from several mathematics programs. 相似文献
6.
The impact of two types of written feedback (process-oriented, grade-oriented) on changes in mathematics achievement, interest and self-evaluation was compared – with a particular focus on the mediating role of feedback’s perceived usefulness. Participants, 146 ninth graders (aged 14 to 17?years), were assigned to either a process-oriented or a grade-oriented experimental feedback condition. They worked on mathematics tests, received feedback on their test results and completed surveys measuring feedback’s perceived usefulness, interest and self-evaluation. Results of path analysis showed that process-oriented feedback was perceived as more useful than grade-oriented feedback and that feedback’s perceived usefulness had a positive effect on changes in achievement and interest. Consistent with this, process-oriented feedback had a greater positive indirect effect than grade-oriented feedback on changes in mathematics achievement and interest via its perceived usefulness. There were no such effects on changes in self-evaluation. Potential explanations for these findings, educational implications and possible directions for future research are discussed. 相似文献
7.
In this study pupils in grades 1 through 9 (ages 7–16) of the Swedish comprehensive school rated their interests in mathematics and Swedish (separately for reading and writing). They also judged other aspects of their school work and situation, such as need for control and challenging tasks, their perception of the teacher, their concern with how well other pupils succeeded, and their well-being at school. Teachers rated their level of achievement in Swedish and mathematics. It was found that interests tended to decrease over time, especially in mathematics. High achievers were more interested but they as well as low achievers showed a drop in interest over the years at school. Need for control rose and general well-being dropped. The developmental trends of the interest variables could not be accounted for by a rising need for control. The decrements in challenge and well-being could explain a part of these trends in Swedish but not in mathematics. 相似文献
8.
Linda Darling-Hammond Stephen P. Newton Ruth Chung Wei 《Educational Assessment, Evaluation and Accountability》2013,25(3):179-204
The Performance Assessment for California Teachers (PACT) is an authentic tool for evaluating prospective teachers by examining their abilities to plan, teach, assess, and reflect on instruction in actual classroom practice. The PACT seeks both to measure and develop teacher effectiveness, and this study of its predictive and consequential validity provides information on how well it achieves these goals. The research finds that teacher candidates’ PACT scores are significant predictors of their later teaching effectiveness as measured by their students’ achievement gains in both English language arts (ELA) and mathematics. Several subscales of the PACT are also influential in predicting later effectiveness: These include planning, assessment, and academic language development in ELA, and assessment and reflection in mathematics. In addition, large majorities of PACT candidates report that they acquired additional knowledge and skills for teaching by virtue of completing the assessment. Candidates’ feelings that they learned from the assessment were the strongest when they also felt well-supported by their program in learning to teach and in completing the assessment process. 相似文献
9.
The media portray girls' achievement in mathematics and science as equal to or better than male performance. This paper reports
on a longitudinal study based on Years 7–12. One of the disturbing features of these data is the extremely poor perceptions
that students, both male and female, have of performance in mathematics and science in the earlier years of high school. These
data suggest the need to examine students' changing perceptions in the transition years from primary school to high school.
Despite there having been substantial improvement in girls' perceptions of how they have performed in mathematics and science,
proportionately fewer females elect to undertake studies at the higher levels of mathematics, physics and chemistry. The data
suggest that year 9 is crucial. The perspective that girls have unequivocally arrived has been challenged. 相似文献
10.
The Programme for International Student Assessment (PISA) and Trends in Mathematics and Science Study are two highly respected studies of school pupils’ academic achievement. English policy-makers have been disappointed with school children’s performance on these tests, particularly in comparison to the strong results of young people from East Asia. In this paper, we provide new insight into the England–East Asia gap in school children’s mathematics skills. We do so by considering how cross-national differences in math test scores change between ages 10 and 16. Our results suggest that, although average math test scores are higher in East Asian countries, this achievement gap does not increase between ages 10 and 16. We thus conclude that reforming the secondary school system may not be the most effective way for England to ‘catch up’ with the East Asian nations in the PISA math rankings. Rather, earlier intervention, during pre-school and primary school, may be needed instead. 相似文献
11.
Zeynel Kablan 《教育心理学》2016,36(2):277-296
The current study investigates the influence of manipulatives used in combination with traditional approaches to mathematics education and how varying amounts of time spent on manipulative use influence student achievement across different learning styles. Three learning environments were created that incorporated varying proportions of traditional teaching approaches and manipulative methods. In one of the learning environments, the teacher used strictly lecture- and exercise-based teaching activities, which are more conducive to abstract learning. Abstract learners showed higher academic performance compared with concrete learners in the environment where only traditional methods were used. For the other two environments, which utilised varying combinations of manipulative tools and traditional methods, the differences in the mathematics achievement levels among students of varying learning styles were not statistically significant. The study also showed that concrete learners demonstrated higher performance in mathematics when manipulatives were used than did their counterparts in the environment where only abstract activities were used; however, in the third learning environment, increasing the amount of manipulative use did not provide an extra benefit to concrete learners. 相似文献
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The phenomenon in which students enter university under-prepared for the mathematical demands of their undergraduate courses, regularly referred to as the ‘Maths Problem’, has been widely reported in Ireland, UK, Australia, and the US. This issue has been of particular concern in Ireland recently, with beginning undergraduates’ performance of basic mathematical skills showing signs of significant decline in recent years. New mathematics curricula, commonly referred to as ‘Project Maths’, were gradually introduced into the Irish secondary school education system from 2010 onwards. These new curricula aim to place greater emphasis on student understanding of mathematical concepts, use of contexts, and applications of mathematics. This study analyses, through mathematics diagnostic test data gathered between 2008 and 2014, the change in the basic mathematical skills of beginning undergraduates over the time period in which the new mathematics curricula were introduced to secondary education in Ireland. It was found that students’ basic mathematical skills have declined over the time period during which the new mathematics curricula were introduced. Significant declines in beginning undergraduates’ performance of basic mathematical skills were observed during the period 2008–2014, particularly among students who have achieved Higher Level C grades and Higher Level D grades. 相似文献
14.
Numerical processing has been extensively studied by examining the performance on basic number processing tasks, such as number priming, number comparison, and number line estimation. These tasks assess the innate “number sense,” which is assumed to be the breeding ground for later mathematics development. Indeed, several studies have associated children's performance in these tasks with individual differences in mathematical achievement. To date, however, most of these studies have cross‐sectional designs. Moreover, the few longitudinal studies either use complex tasks (e.g., story problems) or investigate only one of these basic number processing tasks at a time. In this study, we examine the association between the performance of children on several basic number processing tasks and their individual math achievement scores on a curriculum‐based test measured 1 year later. Regression analyses showed that most of the variance in children's math achievement was predicted by nonsymbolic number line estimation performance (i.e., estimating large quantities of dots) and, to a lesser extent, the speed of comparing symbolic numbers. This knowledge about the predictive value of the performance of 5‐ to 7‐year‐olds on these markers of number processing can help with the early identification of at‐risk children. In addition, this information can guide appropriate educational interventions. 相似文献
15.
In recent years, the mathematics achievement of Peruvian students has been evaluated in three national and two international studies. The results in all cases suggest very poor learning. A similar situation is found in many developing countries. In this study, we analyzed the opportunities to learn (OTL) mathematics of sixth grade students from 22 public schools in Lima, Peru. OTL were defined in this study as curriculum coverage, cognitive demand of the tasks posed to the students, percent of mathematical exercises that were correct and quality of feedback. These variables were coded in the workbooks and notebooks of the students, which were gathered at the end of the school year (at the same time, the mathematics achievement test was administered). The results show that: (a) regarding OTL, less than half of the exercises available in the workbooks were solved, teachers overemphasize some topics of the national curriculum ({i.e.} related to Number and Number Sense), they pose tasks that are at very low levels of cognitive demand, and it is common to find mistakes in the students' answers to problems that have no feedback (or even worse, the feedback is wrong); (b) students in relatively poorer, multigrade classrooms have less OTL; (c) OTL, as defined earlier, is positively associated with achievement.A preliminary version of this paper received the Research Medal in the category Knowledge, Education andTechnology at the Annual Meeting of the Global Development Network (GDN) in Cairo, in January 2003. 相似文献
16.
Based on their performance on a standardized achievement test, second-grade children (N = 49) were classified as having mathematics difficulties with normal reading achievement (MD only), both mathematics and reading difficulties (MD/RD), reading difficulties with normal mathematics achievement (RD only) and normal mathematics and reading achievement (NA). Each child was given a series of tasks so that we might assess their thinking across four areas of mathematics: number facts, story problems, place value, and written calculation. Children with MD/RD performed significantly worse than NA children in most areas of mathematical thinking, whereas children with MD only performed worse than NA children only on complex story problems. The MD-only group outperformed the MD/RD group on story problems and written calculation. No significant differences were found between the RD-only and NA groups on any of the tasks. The results suggested that among children with mathematics difficulties, the MD/RD subgroup is distinct from the MD-only subgroup, with the former being characterized by pervasive deficiencies in mathematical thinking and the latter by more specific deficits in problem solving. 相似文献
17.
The aim of this study was to explore the relationships between prior knowledge, academic self‐beliefs, and previous study success in predicting the achievement of 139 students on a university mathematics course. Structural equation modelling was used to explore the interplay of these variables in predicting student achievement. The results revealed that domain‐specific prior knowledge was the strongest predictor of student achievement over and above other variables included in the model and, together with previous study success, explained 55% of the variance. Academic self‐beliefs strongly correlated with previous study success and had a strong direct influence on prior knowledge test performance. However, self‐beliefs predicted student achievement only indirectly via prior knowledge. The results imply that both prior knowledge and self‐beliefs should be taken into account when considering instructional support issues, because they can provide valuable insights about the future performance of the students. 相似文献
18.
This study investigated how gender shapes the relationships between classroom environment, achievement goals and maths performance. Seventh-grade students (N?=?498) from five urban secondary schools filled in achievement goal orientations and classroom environment scales at the beginning of the second semester. Maths performance was assessed as an average grade four months later. The results indicated gender differences in the perception of teacher and peers support, achievement goals and maths performance. The effects of goal orientations, teacher and peers support on achievement were moderated by gender. Furthermore, the interaction between classroom environment and performance goals on maths grades varied with gender. In the boys’ sample, performance-avoidance goals interacted with teacher support, while in the girls’ sample, performance-approach goals interacted with peers support in predicting maths grades. The educational implications of these gender differences are discussed. 相似文献
19.
《Educational Assessment》2013,18(1):43-58
We examined the effects of self-evaluation training on mathematics achievement. When Grade 5-6 students self-evaluated for 12 weeks (N = 259 treatment, 257 control) treatment students outperformed control students (ES = .40). The findings contribute to the consequential validity argument for self-evaluation. Considered in the context of previous research, these results indicate that subject moderates the effects of self-evaluation on achievement. 相似文献
20.
Elin K. L. Reikerås 《欧洲特需教育杂志》2013,28(3):233-250
The aim of the present study was to investigate the performance in arithmetic related to achievement levels in reading and mathematics. Basic arithmetical facts and multi‐step calculations were examined. The participants were 941 pupils aged 8 (N = 415), 10 (N = 274) and 13 (N = 252) years. The pupils were divided into four groups by standardized achievement tests. One group showed low achievement in both mathematics and reading (MLRL), a second group showed low achievement in mathematics only (ML‐only), a third group in reading only (RL‐only) and a fourth group showed normal achievement in both mathematics and reading (NA). The ML‐only and the MLRL groups did not differ significantly in basic arithmetical facts at any age level, but both groups performed below the RL‐only and NA groups. The two latter groups also performed similarly at all year levels. In multi‐step calculation all groups differed significantly at the lowest age level, with the NA as the group with the best achievement, followed by RL‐only, ML‐only and the MLRL group. At the two highest age levels the relations between the groups, in multi‐step calculation, were in accordance with the results regarding basic facts. The findings indicate, for both normal and low general mathematical ability, that low achievement in reading to a small extent interferes with the pupils’ development of arithmetic performance 相似文献