Causal Attributions for Success or Failure of Students in College Algebra

Research in the field of attribution theory and academic achievement suggests a relationship between a student's attributional style and achievement. Theorists and researchers contend that attributions influence individual reactions to success and failure. They also report that individuals use attributions to explain and justify their performance. Studies in mathematics education identify attribution theory as the theoretical orientation most suited to explain academic performance in mathematics. This study focused on the relationship among a high risk course, low success rates, and attribution by examining the difference in the attributions passing and failing students gave for their performance in College Algebra. Students from a large urban community college in South Florida (n = 410) self-reported their performance on an in-class test by providing open-ended attribution statements to explain the cause of their performance. They then attributed their performance along the dimensions of locus of causality, stability, personal controllability, and external controllability using the Causal Dimensions Scale (CDSII). The open-ended attribution statements were coded in relation to ability, effort, task difficulty, and luck and compared using a Pearson chi- square procedure. The quantitative data compared the passing and failing groups and their attributions for performance on the test using One-way ANOVA and Pearson chi-square procedures. The results of the quantitative data comparing passing and failing groups and their attributions along the dimensions measured by the CDSII indicated statistical significance in locus of causality, stability, and personal controllability. The results comparing the open-ended attribution statements indicated statistical significance in the categories of effort and task difficulty.     

INFLUENCES OF DISCIPLINARY CLASSROOM CLIMATE ON HIGH SCHOOL STUDENT SELF-EFFICACY AND MATHEMATICS ACHIEVEMENT: A LOOK AT GENDER AND RACIAL–ETHNIC DIFFERENCES

The present study investigated the role of disciplinary climate in the classroom and student math self-efficacy on math achievement. The student part of the Program for International Student Assessment (PISA) 2003 survey containing 4,199 U.S. observations was employed in a weighted least squares nested multiple regression framework to predict math achievement from disciplinary climate and self-efficacy in addition to several control variables. The results showed that improvement in disciplinary climate was associated with a reduction in the achievement gap whereas improvement in self-efficacy was associated with an expansion in that gap. These effects varied across race and gender. A significant interaction effect was found between the disciplinary climate and self-efficacy. Educational implications are discussed.     

Validation of a brief measure of teachers’ perceptions of school climate: relations to student achievement and suspensions

Based on theory and research on learning environments, the Delaware School Climate Survey–Teacher/Staff (DSCS–T/S) was developed to provide schools with a brief, psychometrically sound measure of teachers’ perceptions of school climate. Multigroup confirmatory factor analyses, conducted on a sample of 5,781 teachers, support staff, administrators and other staff in 132 schools, showed that a bifactor model consisting of seven specific factors best represented the data. Those factors were Teacher–Student Relations, Student–Student Relations, Teacher–Home Communication, Respect for Diversity, School Safety, Fairness of Rules, and Clarity of Expectations. Measurement invariance was found across grade levels (i.e., elementary, middle, and high schools) and subgroups of respondents (i.e., teachers, instructional support staff and noninstructional staff). As evidence of concurrent validity across grade levels, nearly all scores, aggregated at the school level and correlated significantly and negatively with suspensions/expulsion rates and positively with academic achievement. The DSCS–T/S is likely to be useful to schools interested in assessing school climate and the effects of various programs, such bullying prevention programs, that target the seven dimensions of school climate measured.     

The PISA mathematics regime: knowledge structures and practices of the self

Within mathematics education research, the responses to the Programme for International Student Assessment’s (PISA’s) international testing regime tend to accept its framework and results as necessary points of reference, even when offering a critical reinterpretation or challenging national policy discourses based on PISA. In this article, we offer a different approach to the critique of PISA, drawing on theoretical tools provided by Bernstein and Foucault, to ask what the PISA regime achieves. Our understanding of this achievement encompasses both the production of knowledge structures and the production of students, teachers and other agents as subjects. We propose that the theoretical approach we offer provides a methodological entry point into analysis of the texts comprising the PISA mathematics regime. Analysis of a single PISA item is used to illustrate the insights that may be gained from such a theoretical lens. Such insights into the logic of PISA have the potential to allow us better to understand and hence contest the role that PISA and other large-scale assessment regimes may play in global and local policy discourses.     

Promoting effective e-learning practices through the constructivist pedagogy

Although rapid advances in technology has allowed for the growth of collaborative e-learning experiences unconstrained by time and space, technology has not been heavily infused in the activities of teaching and learning. This article examines the theory of constructivism as well as the design of e-learning activities using constructivist principles. The manner in which constructivist theory supports e-Learning is explored, and extrapolating from this pedagogical theory, some implications are provided to model effective practices of the characteristics and capacities of this powerful learning environment.     

Casting the die before the die is cast: the importance of the home numeracy environment for preschool children

Mathematical competencies are important not only for academic achievement at school but also for professional success later in life. Although we know a lot about the impact of “Home Literacy Environment” on the development of early linguistic competencies, research on “Home Numeracy Environment” (HNE) and the assessment of its influence on the development of mathematical abilities is in its infancy. We still lack studies analysing this relationship and simultaneously controlling for other variables concerning the individual and the environment. Thus, in this article, we focussed on the development of mathematical competencies in a sample of 609 German children from the end of kindergarten until the end of Grade 1. In particular, we were interested in the role HNE plays in regard to this development while controlling for age, sex, intelligence, rapid naming, number span, linguistic competencies, kindergarten attendance and socioeconomic status. Moreover, HNE was compared between families with or without a history of mathematical disability. HNE was not only an important predictor of mathematical abilities at the end of kindergarten, but it also influenced the further development of mathematical competencies above and beyond its initial impact. Families with a history of dyscalculia provided a more unfavourable HNE than families with no such problems. Results are shown in a structural equation model, which highlights the importance of HNE. The findings indicate that those involved in policy and intervention should focus more on the learning environments in families to improve children's achievement.     

Mathematics achievement,language and cognitive development: Classroom practices in Papua New Guinea

A case study was conducted of mathematics instruction at five sites in Papua New Guinea. Trial instructional materials were developed, teachers received inservice training and implementation was carefully monitored for a six-week period. English and mathematics achievement instruments and eight measures of cognitive development were administered to a sample of 201 students in grades two, four and six. Mathematics and language achievement varied significantly among the five sites. Students at all grade levels exhibited poor application of problem solving skills while showing computation, measurement and mathematical language abilities superior to results previously reported. English reading and measures of conservation and classification competence were highly correlated with mathematics achievement. Correlations between memory measures and mathematics achievement decreased from grade two to grade six while correlations between measures of language and cognitive development and mathematics achievement tended to increase. The results indicated that the non-consumable student textbooks ameliorated to some extent the problems associated with non-native language instruction for the students involved in the study. It was concluded that locally developed textbooks with an appropriate language load would enhance mathematics learning, particularly in remote-rural areas where current teaching conditions and lack of materials interact with poor English skills to create an imbalance in achievement.     

Mathematical education versus critical education

This paper concentrates upon the relationship between mathematical education (ME) and critical education (CE) connected with the Frankfurt School and Critical Theory. To make the discussion as precise as possible a distinction is made between three alternatives in ME: Structuralism, pragmatism, and process-orientation. These alternatives are related to the key terms of CE in order to show the extent to which ME and CE contradict each other. The conclusion is that there does not exist any integration — nor even any close relationship-between ME and CE. Finally, this result is discussed in the light of the following two theses:

1. It is necessary to increase the interaction between ME and CE, if ME is not to degenerate into one of the most important ways of socializing students into the technological society and at the same time destroying the possibilities for developing a critical attitude towards precisely this technological society.
2. It is important for CE to interact with subjects from the technical sciences, and among these ME, if CE is not to be taken over by the technological development and fade away into an unimportant and uncritical educational theory.

     

The barriers to achievement for White/Black Caribbean pupils in English schools

Pupils of White and Black Caribbean descent make up the largest category of mixed heritage pupils in the United Kingdom. As a group they are at risk of underachieving and are proportionally over‐represented in school exclusions. Yet little is known to date about the barriers to their achievement. The common‐sense explanation for their underachievement is often in relation to the perception that mixed‐heritage people are more likely to have ‘identity problems’ and low self‐esteem because of their mixed backgrounds. In some cases, this view is further compounded by low teacher expectations associated with the socio‐economic background and household structure of some mixed heritage pupils. By drawing on qualitative data from recent research, ¹ 1. See Tikly et al. (2004 Tikly, L., Caballero, C., Haynes, J. and Hill, J. 2004. Understanding the educational needs of mixed heritage pupils, London: DfES.  [Google Scholar]). View all notes this article will explore the barriers to achievement faced by White/Black Caribbean pupils in English schools. We argue that although White/Black Caribbean pupils are likely to experience a similar set of barriers to achievement as Black Caribbean pupils, there are important distinctions to be made. The specific barriers to achievement identified for White/Black Caribbean pupils derive from socio‐economic disadvantage, low teacher expectation linked to misunderstandings of mixed heritage identities and backgrounds, and the behavioural issues and attitudes towards achievement linked to peer group pressures.     

Characterizing the Achievement Motivation Orientation of Children From Low- and Middle-Income Families

Research Findings: The current study examined achievement motivation orientation in preschool-age children from low- and middle-income families. Participants were 126 children who were attending an urban Head Start site or a private preschool. Children's motivation orientation was assessed as being performance oriented or mastery oriented using a challenging puzzle task (Smiley &; Dweck, 1994 Smiley , P. A. , &; Dweck , C. S. ( 1994 ). Individual differences in achievement goals among young children . Child Development , 65 , 1723 – 1743 .[Crossref], [PubMed], [Web of Science ®] , [Google Scholar]). Children's verbalizations during the task were coded into performance concern, disengaged, and negative self-evaluation categories. Logistic regression and Mann-Whitney U analyses were conducted to examine differences between income groups in motivation orientation and verbalizations. Patterns of motivation orientation in preschool-age children from low- and middle-income families did not differ after controlling for differences in age and puzzle-solving ability. However, children from low-income families made a significantly higher proportion of performance-related verbalizations while working on the task. Practice or Policy: The findings support the examination of children's private speech as a way to assess cognitive processes underlying achievement motivation. In addition to providing a novel way to identify differences in achievement motivation that may be useful for teachers and researchers, the findings suggest the potential utility of designing interventions that promote positive private speech as a way of supporting mastery-oriented motivation in young children.     

Spelling errors and reading fluency in compensated adult dyslexics

Generally, a person who is diagnosed as dyslexic remains diagnosably dyslexic all his/her life. However, occasionally, an individual compensates for his/her difficulties in some way, and by adulthood is no longer diagnosably dyslexic. In what ways are these compensated dyslexics different from both dyslexics and nondyslexics? We compared IQ, achievement test, and spelling error scores in adult dyslexics, adult nondyslexics, and adult compensated dyslexics (N=25) in the two studies reported here. The second study differed from the first in that the subjects were matched for age, education, IQ, and SES. In both studies, compensateds were significantly different from nondyslexics on the WRAT Spelling subtest and Reading Quotient scores. In the second study the compensateds differed from the nondyslexics in total raw score and average reading speed on Gray Oral Reading Test. On the other hand, they were different from dyslexics on all reading and spelling variables in both studies, except for PIAT Reading Comprehension in Study 2. Finally, in Study 2, the compensateds were different from both dyslexics and nondyslexics in average reading speed. In conclusion, it appears that compensation does not result from differences in IQ, education, or SES, though it may be influenced to some extent by sex. Compensateds appear very similar to nondyslexics in their reading and spelling skills; however, there appears to be a difference in the automaticity with which they apply these skills.     

Engaging with parents: the relationship between school engagement efforts,social class,and learning

Using data from the U.S. Department of Education's (2000) Early Childhood Longitudinal Study, Kindergarten Class of 1998–99 (ECLS-K), this study investigates the relationship between school efforts to engage parents, average socioeconomic status (SES) of families within a school, and kindergarteners' end-of-year reading and mathematics achievement. Drawing from Epstein's (2001 Epstein, J.L. 2001. School, family, and community partnerships: Preparing educators and improving schools, Boulder, CO: Westview Press.  [Google Scholar]) parent involvement framework, the 4 types of engagement efforts explored are intended to promote communication, parent volunteering, parent influence in school decision making, and parenting skills. We apply multilevel methods to explore the impact of schools' efforts to engage parents on student achievement. Our findings indicate certain types of school efforts to engage parents influence achievement. Depending on average school SES, efforts to promote volunteering has a differential impact on reading achievement, efforts to involve parents in school decision making has a differential impact on mathematics achievement, and efforts to increase communication and promote parenting skills have a differential impact on reading and mathematics achievement.     

Symptoms of attention-deficit hyperactivity disorder (ADHD) and home learning environment (HLE): findings from a longitudinal study

The concept of “Home Learning Environment” (HLE) covers activities in a family providing intellectual stimulation for a child, such as reading to him or her or visiting libraries. Numerous studies have shown an association between HLE and children's cognitive development. In this longitudinal study, we focus on HLE as a predictor for children's behavioral development, namely, for later symptoms of attention-deficit hyperactivity disorder (ADHD), controlling for relevant aspects like socioeconomic status (SES), or television viewing behavior. We analyzed the development of ADHD symptoms from kindergarten to the end of grade 2 and possible associations with HLE, SES, and television exposure, using a German community sample (N?=?924). Results indicated that ADHD symptoms were negatively and significantly correlated to HLE for all five measurement points as well as to SES (except T4) and to television exposure for T1 to T4. Observing later development, only early HLE but not SES or television exposure served as a significant predictor for ADHD symptoms at school, when age, sex, and ADHD symptoms in kindergarten were controlled for. A structural equation model showed that HLE acted as a mediator between SES and later ADHD symptoms. Our results highlight the importance of the concept of home learning environment also for children's behavioral development. As a consequence, parents should be supported in offering their children a more favorable learning environment.     

Some effects of parent involvement in schools

This study examines the interrelationships among components of parent involvement at schools and investigates their effects on school outcomes. The study used data collected during an evaluation of California's Early Childhood Education Program. Varinbles included socioeconomic status, the frequency of school-parent communications, parent awareness of school events, amount of parent involvement at the school, parent influence in school decision making, the nature of parent-teacher relationships, parent satisfaction with the school, and student achievement in reading and mathematics. The results indicated that there are positive effects associated with parent involvement at schools, and the interrelationships between the endogenous variables suggested ways in which such benefits may be maximized.     

Retrospective and prospective short-term memory in delayed response tasks in rats

Separate groups of rats were trained and tested on asymmetrically and symmetrically reinforced successive delayed matching-to-sample (DMTS) or delayed discrimination (DD) tasks in Experiment 1. Each rat received training and testing on symmetrically reinforced DMTS and DD tasks in Experiment 2. The only difference between each task was that the rats had to respond correctly to a light or tone test stimulus, S₂, if it matched a light or tone sample stimulus, S₁, in DMTS, but could respond to either S₂ if S₁ had been a particular stimulus in DD. Only correct leverpresses were reinforced in the asymmetrically reinforced version of each task. Both correct presses and correct omissions were reinforced in the symmetrically reinforced version of each task. Response biases to leverpress during tests for delayed responding to S₁ were reduced in both symmetrically reinforced tasks, but only in the DD task did such contingencies produce consistently poorer performance in responding to either S, in Experiment 1. Declines in accuracy of performance that occurred in both experiments were greater to the visual than to the auditory S₁ only in the DMTS tasks with increased intervals between S₁ and S₂. A third experiment, in which rats had to respond to S₂ if it matched S₁ (DMTS) or if S₂ mismatched S, (DMmTS), was carried out. Modality of S₁ similarly affected accuracy of delayed responding in each task, as in the first two experiments. Methodological and theoretical implications of these results are discussed in terms of Honig and Thompson’s (1982) dual-process theory of working memory.     

Analysing novices analysing Prolog: what stories do novices tell themselves about Prolog?

Informal observations of Prolog learners showed that, despite being presented with correct information and models, students still tended to construct their own idiosyncratic explanations of events, and, characteristically, they defended these ‘stories’ fiercely when tutorial intervention was attempted. Although the stories were often so flawed that the student's future progress was potentially hampered, it was nevertheless true that learning could not have proceeded at all without them. It seems that if we are to understand the novice Prolog programmer, we need to know about these stories, their source, and what, if anything, they have in common from one learner to another. Pain and Bundy (1987) posed the question “What stories should we tell novice Prolog programmers?” in order to teach them Prolog. In our research, we ask: “What stories do novices Prolog programmers tell themselves?” in order to learn Prolog. Observational studies undertaken showed that students used tacit knowledge of human discourse processes both to interpret the language used to communicate with the computer and to interpret the behaviour of the machine. Students did not appreciate the fundamental differences between natural discourse (as takes place amongst humans) and formal discourse (as takes place between humans and machines), and confused elements of the discourse levels. This can be an effective initial learning strategy, but unless its limitations are recognised, programs are inevitably incomplete at some level. Examples from these studies are reported here with illustrative protocol fragments.     

Inside information — A door to the future?

Information Technology has the potential to provide virtually any educational requirement which the human mind can imagine. Before ideas can become applications, however, there have to be a suitable infrastructure and detailed procedures, otherwise they merely become historical footnotes. Inside Information, a scheme developed by the B.B.C. and the City and Guilds of London Institute, uses Information Technology in some novel ways and in some new contexts. The linking of it to a short-course programme sponsored by the Department of Education and Science opens up a much wider range of possibilities. The article explains the background to the development of Inside Information and its linking to the Department's short-course programme. It shows how such linking is necessary to enable the potential of the scheme to be realised. Inside Information, as it is now being developed, makes distinctions between formal, nonformal and informal education meaningless for most purposes. Medium- and long-term scenarios are suggested. Exciting as they are, these scenarios cannot become reality until the necessary infrastructure and procedures have been created.     

“The Scientific Method” as Myth and Ideal

“The Scientific Method” as it has been portrayed in popular and introductory contexts has been declared a myth. The variation that one finds in introductory presentations of “The Scientific Method” is explained by the fact that there is no canonical account among historians and philosophers of science. What, in particular, is wrong with “The Scientific Method”? This essay provides a fairly comprehensive survey of shortcomings of “The Scientific Method”. Included are corrections to several misconceptions that often accompany such presentations. Rather than treating “The Scientific Method” as a useful approximation or an ideal, the myth should be discarded. Lessons can be learned for introductory pedagogical contexts from considering the shortcomings of the myth.