A comparison of class‐wide taped problems and cover,copy, and compare for enhancing mathematics fluency

An adapted alternating treatments design was used to compare the effects of class‐wide applications of Taped Problems (TP) and Cover, Copy, and Compare (CCC) procedures designed to enhance subtraction fact fluency in an intact third‐grade classroom. During the TP procedure, a tape provided an auditory prompt (i.e., the problem), followed by a 2‐second delay and then the correct answer. Students attempted to supply the correct answer before the answer was provided by the tape. During the CCC procedure, students would cover a math‐fact family triangle, attempt to write one of two possible problems and answer, write the reciprocal fact and answer, and evaluate their responses. Results show that TP caused greater increases in subtraction fact fluency than CCC or a control condition. Discussion focuses on preventing student math deficits, issues regarding alternating treatments designs, and future directions for research. © 2012 Wiley Periodicals, Inc.     

Enhancing science performance in students with learning disabilities using cover,copy, and compare: A student shows the way

A student who participated in a previous study where he was trained to use a self‐managed academic intervention known as cover, copy, and compare (CCC) to enhance his mathematics performance developed the specific intervention used in the current study. Without prompting, this student adapted and employed this procedure to learn bone in the human body. In the current study a multiple baseline across tasks design was used to determine if CCC could be used to enhance accuracy in identifying parts of the human heart in three students with learning disabilities. Three students learned how to perform the self‐management procedures during one session that lasted less than 15 minutes. Results showed that immediately after implementing the CCC intervention students' accuracy improved. Following 11 brief sessions, students were able to identify 15 parts of a human heart with an overall accuracy of 80% over 2 consecutive days. Discussion focuses on limitations and implications of this study and school psychologists' and students' contributions to the development and empirical validation of academic interventions. © 2002 Wiley Periodicals, Inc.     

The effects of the copy, cover, compare approach in increasing spelling accuracy with learning disabled students

This study compared the traditional spelling approach of presenting a list of spelling words at the beginning of the week and a final test at the end of the week with a daily copy, cover, and compare spelling approach. Weekly spelling performance of nine special education students was measured in a ABAB single-subject design. Results indicated improved spelling performance during the copy, cover, and compare spelling phase of the experiment. This finding was replicated across all nine students. Questionnaires given to students at the end of the study revealed that all students preferred the copy, cover, and compare spelling method over the more traditional approach to spelling.     

Co-development of math anxiety,math self-concept,and math value in adolescence: The roles of parents and math teachers

Despite the well-documented negative implications of math anxiety on math learning, a scarcity of theory-guided, long-term longitudinal research limits knowledge about how math anxiety develops over time. Guided by the Control-Value Theory of Achievement Emotions (Pekrun, 2006), the present study addresses this gap by examining (1) how math anxiety develops in tandem with the development of control and value appraisals across secondary schooling, and (2) how these three constructs co-develop in relation to characteristics of home and school contexts. We used growth mixture modeling to investigate how math anxiety, math self-concept (a frequently examined indicator of control appraisal), and math utility value (one dimension of math value) develop in parallel in a sample of 3116 adolescents, who were assessed annually across middle and high school. We identified three trajectory classes: a stable class, characterized by stably modest math anxiety, high math self-concept, and high math utility value, a linear change class, characterized by increasing math anxiety and decreasing math self-concept and utility value, and a fluctuating class, characterized by curvilinear changes in math anxiety, math self-concept, and math utility value. Parental academic support and teacher bias differentiated the stable class from the fluctuating class at the transition to middle school, and from the linear change class at the transition to high school. Our findings point to the heterogeneous contributions of control and value appraisals towards the development of math anxiety and highlight the importance of investigating multiple dimensions of the socio-ecological context at different stages of math anxiety development.     

Memories of math: Narrative predictors of math affect,math motivation,and future math plans

This mixed-methods study focuses on narratives that undergraduates tell about pivotal moments (i.e., turning points) in their prior history with math. A key objective was to examine whether these turning points would be associated with participants’ current math affect, math motivation, and future plans with math. Undergraduate participants (N = 210) completed quantitative measures assessing math anxiety, math self-expectancy, and math value, and also wrote narratives about a turning point with math and their future math plans. Thematic analysis revealed four themes in the math turning point narratives: (1) redemption, (2) contamination, (3) consistently positive, and (4) consistently negative. Quantitative analyses indicated that participants who wrote consistently positive narratives reported significantly lower math anxiety and higher math self-expectancy and math value relative to participants who wrote other types of narratives. Further, participants who wrote consistently negative turning point narratives were more likely to indicate that they would avoid math in the future. These results suggest that an individual’s memory of their early math experiences can color their math affect, math motivation, and plans for pursuing math in the future, even years after the experience has occurred. Implications for math education are discussed.     

Challenges in identifying target skills for math disability screening and intervention

Gersten, Jordan, and Flojo (in this series) review their research on math difficulties, with an emphasis on applying current knowledge to inform practices of early identification and intervention. On a practical level, educators are in dire need of empirically based screening and intervention tools. From a scientific perspective, it is important to recognize the need to clearly define what we seek to identify and remediate, and to acknowledge that we are currently far from achieving this goal despite recent advances in the field. Among the studies reviewed by Gersten et al., as well as other studies by several other researchers, there is much variability in how mathematics difficulties are defined and measured, and even in the terms used to refer to them. I address the degree of consensus and controversy currently characterizing the state of math learning disabilities research, with an emphasis on the usefulness of a developmental perspective in appraising this young field.     

School-based intervention for the modification of excessive absenteeism

Three procedures to modify excessive absenteeism were implemented by an elementary school principal and assessed with an across-subjects multiple baseline design. In one condition, the principal praised the child in the classroom for attending school. In a second and third condition, parents were contacted by telephone and either praised for their child's attendance or given disapproval for absences and prompts for future attendance. Results indicated that classroom intervention with the child produced a transitory increase in attendance. However, intervention with parents, both approval for attendance and disapproval for absences, produced sustained increases in attendance and parent-initiated contacts with the school. The data suggest that intervention with parents of elementary school children is more effective and efficient than direct intervention with the child in the modification of excessive school absences. School-based intervention strategies for early reduction of absenteeism may be important in the prevention of chronic truancy and of the necessity for extensive remediation.     

Impact of math self-efficacy,math anxiety,and growth mindset on math and science career interest for middle school students: the gender moderating effect

European Journal of Psychology of Education - This study tested a proposed model consisting of mathematics anxiety, mathematics self-efficacy, and implicit theories of intelligence in predicting...     

辅助函数法在一些数学问题中的应用

辅助函数法是处理和解决数学问题的一种重要思想方法。在高等数学解题中,往往不是直接对问题本身进行求解,而是根据问题以及所给的已知条件,巧妙地构造一个适当的辅助函数,从而间接有效的解决问题。     

The effects of token reinforcement versus cognitive behavior modification on learning-disabled students' math skills

The effects of token reinforcement, cognitive behavior modification, and direct instruction on learning-disabled students' math skills were compared. Math skills were measured by 2-minute classroom timings of basic addition and subtraction problems, and the Stanford Diagnostic Mathematics Test. Treatment was provided to 94 students for 4 weeks in daily 1-hour sessions. Significant differential gain between treatment and direct instruction groups in achievement test scores was found, F(4, 182) = 4.03, p<.01. Token reinforcement and cognitive behavior modification were found to be equally effective. All three groups improved with 2-minute classroom timings, F(2, 91) = 8.53,p<.001. Retention of skills for both treatments was maintained over a 2-week no-treatment period. Teachers' social validity ratings indicated differences between the two treatments relative to student behaviors and teacher roles. It is concluded that token reinforcement and cognitive behavior modification are equally effective techniques to remediate learning-disabled students' math achievement, and both are superior to direct instruction in some cases.     

Technology, math, and the early learner: Models for learning

As today’s preschoolers become the school-age children of tomorrow, early learning educators are faced with a unique and exciting challenge of integrating technology into mathematics instruction. This article examines theory, standards, guidelines, and rationale that supports technology in the preschool environment. Examining practices at 12 diverse preschool sites, four designs emerge as the “typical” models that enable early learners to engage and experience technology within a developmentally appropriate learning environment. The designs outlined are viewed through the lens of preschool mathematics instruction and provide early learning educators as well as parents with models for replication.     

A government prepared: Organizing for math and science education reform

The reform of K-12 math and science education will require a national, multisector, bipartisan effort sustained for at least two decades. The effort will involve all levels of government, communities, local businesses, and schools. The federal government has a pivotal role to play.     

A coping-oriented group intervention for students waiting to undergo secondary school transition: Effects on coping strategies,self-esteem,and social anxiety symptoms

To facilitate students’ transition into secondary school, a coping-oriented group program was designed. Pre- and posttest data from three intervention groups conducted over the course of 5 weeks were combined for a total of 56 sixth-grade students waiting to undergo school transition. There was also a test–retest control group (n = 26). Results indicate that completion of the intervention led to a significant decrease on scales measuring self-reported social anxiety symptoms. There was also a significant increase in intervention participants’ self-reported self-esteem, likeability, adherence to social rules, and frequency of active coping strategies, compared with the control group. Furthermore, a regression analysis showed that change in the self-reported use of active coping strategies predicted change in social anxiety symptoms for the intervention group. However, no significant change in self-reported use of passive-avoidant coping was observed. We conclude that facilitating effective coping with stress may provide a highly beneficial perspective toward designing transition groups, that may also lead to a significant reduction in social anxiety symptoms in adolescents waiting to undergo secondary school transition.     

Universals and specifics of math self-concept, math self-efficacy, and math anxiety across 41 PISA 2003 participating countries

The overarching goal of the present study is to investigate the factorial structure of three closely related constructs: math self-concept, math self-efficacy, and math anxiety. The factorial structure consisting of three factors, each representing math self-concept, math self-efficacy, and math anxiety, is supported in all 41 countries employed in this study. This same factorial structure is achieved at both between- and within-country levels. This study also reveals some country specific information, including country-level mean differences and within-country importance of these three math self-constructs in predicting math performance. For instance, Asian countries such as Korea, and Japan, demonstrate low math self-concept and math self-efficacy and high math anxiety in spite of their high scores on math performance. On the other hand, some of the Western European countries such as Finland, Netherlands, Liechtenstein, and Switzerland show “balanced” outcomes, with high math performance and low levels of math anxiety.     

The outcomes of a mixed-methods,innovative group life design intervention with unemployed youths

International Journal for Educational and Vocational Guidance - This article reports on an innovative life design intervention in a developing country context. A group of 31 unemployed youths were...     

群作用在积分计算中的应用

运用群作用的观点去处理部分积分计算,并给出对称性在积分计算中的统一处理.     

Condom Carnival: feasibility of a novel group intervention for decreasing sexual risk

Young people who engage in unprotected sex are at risk of negative consequences. The current study explored pre-post assessment data from 124, mostly Black, young people (M age = 19.6, SD = 2.8) attending an educational and vocational training programme who participated in the Condom Carnival, a novel, brief, interactive, peer-led, culturally tailored, sexual risk reduction group intervention. Condom Carnival activities provided practice negotiating condom use and using condoms correctly, instruction on safe lubricant use, and opportunities to dispel myths regarding condom size and breakage. We examined the preliminary impact of the Condom Carnival in increasing participants’ condom-related self-efficacy, lubricant safety awareness, and condom-related behavioural intentions and behaviour likelihood. Despite previous exposure to prevention efforts, participants reported significant increases in lubricant safety awareness (p < 0.001) and intentions to carry a condom in the next year (Z = ?2.05, p = 0.04). Although participants reported high condom-related self-efficacy and intentions to use a condom, only three-quarters of young people endorsed intentions to always carry a condom. Findings indicate the need to explore the gap between intentions to use and carry condoms and to develop effective strategies to increase condom carrying among young people. Further assessment of the Condom Carnival as an add-on intervention to enhance sexual risk reduction efforts among youth is warranted.     

A sentence-combining intervention for struggling writers: response to intervention

Reading and Writing - Children who struggle with writing are a heterogeneous group and may experience difficulties in a range of domains, including spelling, reading, and oral language. These...     

初中数学“小组互动,六步达标”教学模式研究成果与总结

＂小组互动,六步达标＂教学模式在课堂教学中能够提高学生学习数学的兴趣,减少学困生的人数,培养学生的综合素质,改善师生关系。它主要包括以下六个环节：预习反馈、目标展示、分组讨论、讲解质疑、互助练习、检测评价。