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1.
The purpose of the study was to examine differences in early numerical competencies, as well as subtraction skill, as a function of children's mathematics difficulty (MD) status: computational difficulty (CD), word problem-solving difficulty (PD), concurrent difficulty (CDPD), or neither difficulty (i.e., typically developing; TYP). Based on measures of addition and word-problem skill, second grade students (N = 332) were classified in terms of MD status. Then, students were assessed on three early numerical competency measures (Number Line Estimation, Number Sets Test, and Counting Knowledge) as well as a measure of subtraction. On Number Line Estimation and Number Sets Test, students with CD and those with PD scored comparably, but both outperformed students with CDPD. On Counting Knowledge-Double First, students with CDPD scored lower than the three contrasting groups. On subtraction, students with CD outperformed those with PD, and students with PD and those with CDPD performed comparably. Findings are discussed in terms of differential performance as a function of difficulty status and implications for understanding and teaching subtypes of MD. 相似文献
2.
The construct and predictive validity of a dynamic assessment of young children learning to read: implications for RTI frameworks 总被引：1，自引：0，他引：1
The purpose of this study was to examine the construct and predictive validity of a dynamic assessment (DA) of decoding learning. Students (N = 318) were assessed in the fall of first grade on an array of instruments that were given in hopes of forecasting responsiveness to reading instruction. These instruments included DA as well as one-point-in-time (static) measures of early alphabetic knowledge, rapid automatized naming (RAN), phonemic awareness, oral vocabulary, listening comprehension, attentive behavior, and hyperactive or impulsive behavior. An IQ test was administered in spring of second grade. Measures of reading outcomes administered in spring of first grade were accuracy and fluency of word identification skills and reading comprehension. Factor analysis using principal axis factor extraction indicated that DA loaded on a first factor that also included language abilities and IQ, which the authors refer to as the "language, IQ, and DA" factor. It was relatively distinct from two additional factors: (a) "speeded alphabetic knowledge and RAN" and (b) "task-oriented behavior." A three-level (children nested within classroom; classrooms nested within school) random intercept model with fixed effects predictors suggested that DA differed from word attack in predicting future reading skill and that DA was a significant predictor of responsiveness to instruction, contributing unique variance to end-of-first-grade word identification and reading comprehension beyond that explained by other well-established predictors of reading development. 相似文献
3.
数学技能教与学的若干思考 总被引：2，自引：2，他引：2
有3个因素影响着数学技能的掌握与类化，这就是知识的理解水平，练习的感悟水平和认知策略的迁移水平，而传统的技能学习在这几方面均存在问题．随着课程改革的不断深入，除了重新认识数学技能的内涵外，还须改进数学技能的教学观念与方式，比如，控制训练的量与度，在变式训练的同时引导学生感悟、反思，让学生自我体会数学思想方法等． 相似文献
4.
According to national mathematics standards, algebra instruction should begin at kindergarten and continue through elementary school. Most often, teachers address algebra in the elementary grades with problems related to solving equations or understanding functions. With 789 second‐grade students, we administered: (1) measures of calculations and word problems in the fall and (2) an assessment of prealgebraic reasoning, with items that assessed solving equations and functions, in the spring. Based on the calculation and word‐problem measures, we placed 148 students into one of four difficulty status categories: typically performing, calculation difficulty, word‐problem difficulty, or difficulty with calculations and word problems. Analyses of variance were conducted on the 148 students; path analytic mediation analyses were conducted on the larger sample of 789 students. Across analyses, results corroborated the finding that word‐problem difficulty is more strongly associated with difficulty with prealgebraic reasoning. As an indicator of later algebra difficulty, word‐problem difficulty may be a more useful predictor than calculation difficulty, and students with word‐problem difficulty may require a different level of algebraic reasoning intervention than students with calculation difficulty. 相似文献
5.
As students enter the upper elementary grades, word problems become a main component of mathematics instruction, increasing in complexity as students advance through the curriculum. For students identified as emergent bilinguals with mathematics difficulty (MD), the linguistic complexity inherent in word problems may serve as a barrier to word-problem proficiency. The current study investigated the potential relation between academic English proficiency and word-problem outcomes for emergent bilinguals with MD. After analyzing data from 241 third-grade students, results indicated students who participated in an evidence-based word-problem intervention outperformed students who did not receive the intervention. Moreover, students’ academic English-language proficiency scores in the domains of reading and writing positively correlated with higher scores on a measure of word-problem solving. 相似文献
6.
Conventional research methods for understanding sources of individual differences in word-problem solving (WPS) only permit estimation of average relations between component processes and outcomes. The purpose of the present study was instead to examine whether and if so how the component processes engaged in WPS differ along the spectrum of WPS performance. Second graders (N = 1130) from 126 classrooms in 17 schools were assessed on component processes (reasoning, in-class attentive behavior, working memory, language comprehension, calculation fluency, word reading) and WPS. Multilevel, unconditional quantile multiple regression indicated that 3 component processes, calculation fluency, language comprehension, and working memory, are engaged in WPS differentially depending on students’ overall word-problem skill. The role of calculation fluency and language comprehension was stronger with more competent word-problem solving ability. By contrast, the role of working memory was stronger with intermediate-level than for strong problem solving. Results deepen insight into the role of these processes in WPS and provide the basis for hypothesizing how instructional strategies may be differentiated depending on students’ overall level of WPS competence. 相似文献
7.
Sarah R. Powell Syeda Sharjina Akther Na Young Yoon Katherine A. Berry Carmen Nemcek Anna-Maria Fall Greg Roberts 《Learning disabilities research & practice》2023,38(3):182-198
This study examined the influence of addition and subtraction practice embedded within a word-problem intervention for Grade 3 students experiencing word-problem difficulty. Students (N = 448) were randomly assigned to one of two variants of a word-problem intervention or a business-as-usual comparison condition. Within the word-problem interventions, students participated in targeted addition and subtraction fact and computation practice for approximately 3 minutes of each 30-minute session across 47 intervention sessions, but also continually practiced addition and subtraction through word-problem solving. At posttest, students who participated in the intervention demonstrated improved single-digit addition and subtraction performance as well as improved double-digit addition and subtraction performance. At follow-up in Grade 4, persistence of effects was only identified for double-digit addition. Considering addition and subtraction are foundational to many other mathematics skills, addition and subtraction practice serves as an important component of mathematics intervention. 相似文献
8.
In the present study, we investigated the impact of a word-problem intervention in retention and acquisition of knowledge after the intervention ended. We based analyses upon Grade 4 students experiencing mathematics difficulty (average age at pretest = 8.77) who received one of two variants of a word-problem intervention (with [n = 111] vs. without [n = 110] embedded pre-algebraic reasoning instruction) and students within a business-as-usual condition (BaU [n = 127]) separately. Findings revealed that students who received the intervention not only tended to retain less, but they also showed more active knowledge acquisition after the intervention ended. Furthermore, word-problem intervention altered the contributions of some prior knowledge and skills on both retention and acquisition. 相似文献
9.
J M Blackbourn 《Journal of learning disabilities》1989,22(1):28-34
The generalization of specific social skills to new environments/situations by elementary-aged students with learning disabilities was the primary focus of this study. During the spring semester of 1985, training in the learning disabilities resource room, including a discussion and verbal rehearsal of appropriate skill use and positive consequences of using the specific social skill appropriately, was initiated. Once the subject became proficient in the skill of interest, attempts to establish the skill outside the resource room were initiated (training sufficient exemplars). Reinforcement in the form of systematic attention was delivered in the new environments by teachers and parents. During the fall semester of 1985 each of the subjects was again observed with respect to the behaviors of interest. All subjects manifested generalization of the social skills to the new environments. 相似文献
10.
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
11.
《The Journal of educational research》2012,105(6):381-383
ABSTRACT The authors compared a conceptual model- based problem-solving (COMPS) approach with a general heuristic instructional approach for teaching multiplication–division word-problem solving to elementary students with learning problems (LP). The results indicate that only the COMPS group significantly improved, from pretests to posttests, their performance on the criterion test (that involves equal groups and multiplicative compare problems) and the prealgebra model expression test. The study results suggest that elementary students with LP can be expected to move beyond concrete operations and to algebraically represent mathematical relations in conceptual models that drive the solution plan for accurate problem solving. 相似文献
12.
Lynn S. Fuchs Jennifer K. Gilbert Douglas Fuchs Pamela M. Seethaler BrittanyLee N. Martin 《Scientific Studies of Reading》2018,22(2):152-166
This study was designed to deepen insights on whether word-problem (WP) solving is a form of text comprehension (TC) and on the role of language in WPs. A sample of 325 second graders, representing high, average, and low reading and math performance, was assessed on (a) start-of-year TC, WP skill, language, nonlinguistic reasoning, working memory, and foundational skill (word identification, arithmetic) and (b) year-end WP solving, WP-language processing (understanding WP statements, without calculation demands), and calculations. Multivariate, multilevel path analysis, accounting for classroom and school effects, indicated that TC was a significant and comparably strong predictor of all outcomes. Start-of-year language was a significantly stronger predictor of both year-end WP outcomes than of calculations, whereas start-of-year arithmetic was a significantly stronger predictor of calculations than of either WP measure. Implications are discussed in terms of WP solving as a form of TC and a theoretically coordinated approach, focused on language, for addressing TC and WP-solving instruction. 相似文献
13.
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
14.
Mikel Garmendia Jenaro Guisasola Egoitz Sierra 《European Journal of Engineering Education》2007,32(3):315-323
Visualizing parts, meaning interpreting the views of an object which has been represented in a drawing, is a fundamental skill in engineering. However, learning deficiencies and difficulties have been observed among engineering undergraduates, and there is a high failure rate in drawing courses. In order to determine the origin of these deficiencies, a qualitative design has been developed based on personal interviews. A group of students was interviewed to analyse the solution process they applied to three visualization problems with increasing difficulty. The steps they took were structured and categorized along with the difficulties and deficiencies which were detected. Most of the students affirmed that they did not possess methodology to solve these problems and relied on trial and error and intuition. The results seem to indicate that there are specific difficulties and that it is possible to define a set of skills which guide students through the process of visualizing parts. 相似文献
15.
Christina Areizaga Barbieri Laura K. Young Kristie J. Newton Julie L. Booth 《Child development》2021,92(5):1984-2005
Fraction knowledge and algebraic skill are closely linked. Algebra is a gatekeeper for advanced courses (Booth & Newton, 2012; Brown & Quinn, 2007). This study uses the person-centered approach of latent profile analysis to examine individual differences in middle schoolers’ (N = 350) algebra performance at the end of the year (EOY). The relative importance of a range of fraction skills is considered in predicting the likelihood of displaying a particular profile of EOY algebra knowledge, measured by feature knowledge, equation encoding, equation solving, and word-problem skills. Notably, fraction number line estimation did not predict algebra performance on any of the four measures. Fraction arithmetic at the beginning of the year is most predictive of displaying the highest performing EOY algebra profile. 相似文献
16.
翻转课堂、混合课堂等新型教学模式的出现,让学生可以通过在线视频提前预习知识。但是,在这种非面对面的课堂,教师无法观察到学生观看视频的状态,不易识别预期的教学难点与学生在视频学习过程中实际感知到的难点是否一致。为解决这一问题,文章通过采集学生预习视频时的交互行为数据还原学生的视频观看轨迹,采用聚类分析法来诊断学生预习视频时感知到的实际难点;同时,通过对在线测试答题正确率进行分析得到的结论、半结构化访谈中学生对视频学习难易度的反馈分别与对学生视频观看轨迹进行聚类得出的结论进行对比,发现结果趋于一致,由此验证了文章提出的难度感知诊断方法的可行性与有效性。难度感知诊断方法依靠客观行为数据更加精准地掌握学生的学习难点,为提高课堂教学效率提供了有力保障。 相似文献
17.
Jenell Holstead 《Journal of Education for Students Placed at Risk》2013,18(4):255-274
This study examined academic differences between students who attended 21st Century Community Learning Center (CCLC) programs frequently (60 or more days) and matched nonattendees during the 2008–2009 school year. Schools included in the study represented only those centers found to be implementing high-quality programming, as measured by a strenuous site visit process in Indiana. Significant interactions between program attendance and fall academic achievement predicted performance on the spring tests in both math and reading. Simple effects were only shown for math, in which program attendees who failed the test in the fall scored higher than non-participants. Implications for practice and future research are discussed. 相似文献
18.
We investigated the longitudinal relations between cognitive skills, specifically language-related skills, and word-problem solving in 340 children (6.10–9.02 years). We used structural equation modeling to examine whether word-problem solving, computation skill, working memory, nonverbal reasoning, oral language, and word reading fluency measured at second grade were associated with performance on measures of word-problem solving in fourth grade. Results indicated that prior word-problem solving, computation skill, nonverbal reasoning, and oral language were significantly associated with children’s later word-problem solving. Multi-group modeling suggested that these relations were not significantly different for boys versus girls. Implications of these findings are discussed. 相似文献
19.
Cross‐sectional studies indicate how many students are victims of bullying at a single time, but do not tell us whether the same students continue to be bullied or whether there is a cumulative impact of bullying over time. This study examined the longitudinal stability and the cumulative impact of victimization in a sample of 382 students assessed in the fall and the spring of Grades 6, 7, and 8. Victimization assessed by both self‐ and peer reports indicated substantial variability in who was bullied, with nearly 51% of students reporting bullying victimization during at least one of the six assessments. The cumulative impact of victimization over 3 years was demonstrated on Grade‐8 outcome measures of absences, disciplinary infractions, suspensions, grade point averages, standardized test scores, reports of youth risk behavior, and perceptions of school climate. This study provides new information about the cumulative impact of peer‐ and self‐reported bullying across middle school. 相似文献
20.
Carl F. Berger 《科学教学研究杂志》1982,19(3):249-260
Instrumentation, methodology, and analysis techniques were developed to measure changes in adolescent skills in the estimation of linear distance. Microcomputers were used to present and control the amount of information available to assist students in estimation. Three different levels of difficulty in estimating were developed and students estimated ten positions of a point on a vertical line within each level of difficulty. Strategies used by students to estimate were found, and a model was developed using regression analysis to allow for the separation of variance of trend and individual skill differences. This model was used to predict decreases in number of estimates and decreases in average time per estimate. The number of estimates per position decreased rapidly and a limit was soon achieved. Thus average time per estimate was used as a measure of skill. Students improved performance within the first two levels, but not within the most difficult level. Across levels, average performance improved in spite of increasing difficulty, and a transfer effect appeared to occur over time. It was concluded that micro-computers were a valuable instrument for gathering and recording data. The model using regression analysis was an effective tool to study estimation. Students used effective strategies and improved their estimation skill quickly. Learning did occur, but the level of difficulty of information or practice effect available while solving an estimation problem may limit the extent of improvement. 相似文献