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Cognitive, Affective and Behavioral Components That Explain Attitude toward Statistics

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Abstract

The purpose of this research is to measure the students’ attitude towards statistics. It was necessary to define a certain type of research subjects, so we chose higher education students from the economic-administrative and engineering areas that were taking statistics as a subject in both, public and private universities located in Veracruz - Boca del Rio metropolitan area. The instrument used was the Survey of Attitude towards Statistics (SATS), and we applied it to a sample of 116 students. The statistical technique used was an exploratory factorial analysis with an extracted principal component. The Statistics Hypothesis: Ho : ρ = 0 has no correlation, while Ha : ρ � 0 does. Statistics test to prove: χ2, Bartlett’s test of sphericity, KMO (Kaiser-Meyer-Olkin), Measure of sampling adequacy (MSA) with a significance level: α = 0.01; p < 0.01 Decision rule: Reject Ho if χ2 calculated > χ2 tabulated. The results obtained from the Bartlett’s test of sphericity, KMO (0.600), Chi square χ2 74.146 > χ2 tabulated, Sig. 0.00 < p0.01, MSA (USF 0.673; ANX 0.521; CNF 0.624; LIK 0.613 and MTV 0.523) provide evidence to reject Ho. Global results point out that usefulness and anxiety are the most significant components in measuring students’ perception towards statistics. Evidence obtained was enough to reject the null hypothesis, thus we can infer that attitude can be measured based on the cognitive, affective and behavioral components.

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... Where: Z 1 , Z 2 , … Z m are common factors  1  2 ……  p are unique factors Thus,  1  2 ……  p have influence in all variables X i ( i=1 ………p) ξ i influence in X i (i=1……..p) Model equations can be expressed in matrix form as follow: (2) Therefore, the resulting model can be expressed in a condensed form as: ...
... To validate the appropriateness of factorial model is necessary to design the sample correlation matrix R, from the data obtained. Also be performed prior hypothesis tests to determine the relevance of the factor model, that is, whether it is appropriate to analyze the data with this model [2,3]. A contrast to be performed is the Bartlett Test of Sphericity. ...
... Where: r ij (p) is the partial coefficient of the correlation between variables X i and X j in all the cases. The statistical procedure to measure data is an exploratory Factorial Analyze Model; therefore it was taken the procedure proposed by García-Santillán et al [2,3] and obtains the following matrix: ...
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...  Mandler (1989), Mc Leod & Adams (1989) have shown that poor academic performance in mathematics is an emotional problem.  Fennema & Sherman (1976, 1978, Whitley (1979), García-Santillán, Moreno, Castro, Zamudio and Garduño (2012) have shown it to be attitudinal. In 1992, McLeod pointed out that attitude is placed somewhere in between beliefs and emotions. ...
... Finding the cause for poor academic performance in mathematics has been a recurring theme in different investigations. Some studies have shown that the problem is emotional (Mandler, 1989;Mc Leod & Adams, 1989) while other studies have shown it to be attitudinal (Fennema & Sherman, 1976, 1978Whitley, 1979;García-Santillán, Escalera & Córdova 2012;García-Santillán, Moreno, Castro, Zamudio & Garduño, 2012;Moreno, García-Santillán & Cristóbal, 2014) among others. These studies coincide that mathematics anxiety has a negative effect on students. ...
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... Into the educational research, statistical level has justified the need to pay attention to students " attitude mainly because they have an important influence on the process of teaching and learning and the same way, the immediate academic performance (such as variable input and process). Also important argument exposed by Auzmendi [1], Gal & Ginsburg [6], Gal, Ginsburg & Schau [7] and García-Santillán et al, [8] about students " attitude statistic; they refer to as an essential component of the background of student with which, after its university training, may carry out academic and professional activities. In the same way Baloglu [9] made a study in order to compare, the mathematics anxiety and statistics anxiety in relation to general anxiety. ...
... Where: r ij (p) is the partial coefficient of the correlation between variables X i and X j in all the cases. The statistical procedure to measure data is an exploratory Factorial Analyze Model; therefore it was taken the procedure proposed by García-Santillán et al (2012) and obtains the following matrix: ...
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This study aims to measure student’s attitude towards statistics through a model that considers the variables proposed by Auzmendi (1992). Was examined whether the constructs: usefulness, motivation, liking, confidence and anxiety have influence in the student's attitude towards statistics. Were surveyed 298 students at the Cristóbal Colón University using the questionnaire proposed by Auzmendi. Data analysis was performed by factorial analysis with an extracted principal component. The results obtained from the Bartlett test of Sphericity KMO (.648), Chi square X2 379.674 df 10, Sig. 0.00 < p 0.01, the value of each variable MSA (LIK .628; ANX .602; CNF .731; MTV .610 and USF .649 are within the acceptable value >0.50) All this provide evidence to reject Ho. Finally we obtained two factors: first one composed of three elements: usefulness, confidence, liking and other incorporates two elements: anxiety and motivation. The values of this last factor indicate if the student anxiety increased, decreased motivation and their explanatory power for each factor are expressed by their Eigenvalue 2.351 and 1.198 (with % variance 47.016 and 23.964 respectively, Total variance 71.08%)
... The estimated values of Cronbach's alpha for most of the factors are more than 0.7 which shows an acceptable level of reliability of factors and internal consistency among the respondents in the evaluation of observed variables. The Cronbach's alpha value of SN and TCC factors are also near to 0.7 (Garcia-Santillan et al., 2012). ...
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... The concept of attitude is deeply rooted in social sciencesparticularly sociology, but it is also widely used in economics [40]. Scholars agree that the attitude exhibits a three-component structure: affective (what you feel), cognitive (what you know) and behavioral (what you do) [41]. The concept of attitude was used in the formulation of the question, which is an indicator of an independent variable: Question 13. ...
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... It is concerned with the likelihood of undertaking specific actions or behaving in a particular way with regard to an object (Schiffman & Kanuk, 2009). Behavioral component relates to the expressions of behavioral intention or action or the tendency to act in a specific way ( Garcia-Santillan et al., 2012). It may often include the actual behavior itself. ...
... Worse than that, there are even clinical states identified as " math anxiety " (Ashcraft, 2002; Geist, 2010; Meece, Wigfield and Eccles, 1990) and " statistics anxiety " (Chew and Dillon, 2014; Onwuegbuzie and Wilson, 2003; Zeidner, 1991 ), with their own form of diagnoses, etiology and treatment. These conditions have been reported in Mexico (Garcia-Santillan, Moreno- Garcia, Carlos-Castro, Zamudio-Abdala and Garduño-Trejo, 2012; Tyteca, Parrilla and Mar tinez, 2013), and extend to undergraduates in mathematics and related areas (Cardoso Espi nosa, 2012; Escalera-Chavez, Garcia-Santillan and Venegas-Martinez, 2013; Espinosa, Lopez and Mercado, 2012), where also students who have chosen this area of knowledge struggle with learning. Personal suffering is not the only consequence of math learning problems. ...
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In this study, we examined whether the constructs of usefulness, motivation, likeness, confidence, and anxiety influence the student's attitude towards statistics. Two hundred ninety eight students enrolled in the private university were surveyed by using the questionnaire proposed by Auzmendi (1992). Data analysis was done by structural equation model AMOS software. The results support the model proposed by Auzmendi of five factors, however the data reveal that there exists an alternative model (CFI = 0.907) that best fits the proposed model (CFI = 0.885). Furthermore, of the 25 indicators proposed only 22 have an acceptable range and two of the indicators (Items 9 and 2) should be considered in the construct of anxiety and usefulness respectively.
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The aim of this research was to measure anxiety toward mathematics on Jr. High School students from Tuxtepec, Oaxaca, Mexico. It was utilized the Muñoz and Mato (2007) (Note 1) anxiety scale to analyze five dimensions of anxiety, anxiety toward: evaluation, temporality, understanding problems, number operations and math situations of real life. 509 questionnaires were random applied face to face to boys and girls students of all high school's degrees. The statistical procedure utilized was the factorial analysis with principal component extracted. Results obtained allow us to know that variables related to the understanding of mathematical problems and evaluation have the biggest contribution to explain variance of the phenomenon studied.
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In this study was examined whether the constructs: usefulness, motivation, likeness, confidence and anxiety influence the student's attitude towards statistics. Were surveyed 326 students in the public university using the questionnaire proposed by Auzmendi (1992). Data analysis was performed by structural equation model AMOS software. The results do not support the model proposed by Auzmendi of five components. The results suggest that the data are adjusted to only two components, namely: likeness and confidence. About global adjusted of model, the quality measures of absolute fit show: Chi-square statistic (15.123, df = 8 probability level=0.057) is significant, and all indexes showed a satisfactory fit. The values of GFI (0.985), AGFI (0.960) and RMSA (.052) are satisfactory because their values tend to 1 and are > of .5. The attitude towards statistics on students in the Universidad Politécnica de Aguascalientes, is a friendly attitude, which reveals that on this institution the subject Statistics is focused towards the practical application. DOI: 10.5901/mjss.2014.v5n1p569
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This study aims to measure student’s attitude towards statistics through a model that considers the variables proposed by Auzmendi (1992). Was examined whether the constructs: usefulness, motivation, likeness, confidence and anxiety influence the student's attitude towards statistics. Were surveyed face to face 328 students at the Universidad Politécnica de Aguascalientes using the questionnaire proposed by Auzmendi. The statistical procedure used was factorial analysis with an extracted principal component. The Statistics Hypothesis: Ho: ρ = 0 has no correlation, while Ha: ρ ≠ 0 does. Statistics test to prove: Χ2, Bartlett‟s test of sphericity, KMO (Kaiser-Meyer_Olkin) Significance level: α = 0.05; p < 0.01 The results obtained from the sphericity test of Bartlett KMO (0.592), Chi square X2, 390.552 df 10, Sig. 0.00 < p 0.01, MSA (Usefulness 0.656, Motivation 0.552, Likeness 0.705, Confidence 0.633 and Anxiety 0.507). With all this we obtained significant evidence in order to reject Ho. Finally we obtained two factors that explain attitude toward statistic in college students: One of them is composed by three elements: Confidence (.852), Likeness (.818) and Usefulness (.768) and the other is composed by two elements: Anxiety (.837) and Motivation (.800). Their explanatory power for each factor is expressed by their Eigenvalue: 2.170 and 1.383 (with % variance 43.39 and 27.67 respectively, Total variance explained 71.05%).
Chapter
Students in majors that do not require a math or statistics course are often unbelievers in the value and power of statistics. If statistical educators are to serve the quantitative needs of these students, they must be evangelists to non-believers rather than being ministers to believers; they must focus on statistical literacy rather on statistical competence. They must be called to help students see the value of statistics in everyday situations; they must measure teaching effectiveness based more on improvements in students' attitudes toward statistics than in students' knowledge of statistics.
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La importancia de las actitudes en el aprendizaje de la Matemática-Estadística ha sido reconocida en la literatura a través de diversos trabajosempíricos que las relacionan. No obstante, en las concepciones acerca de las actitudes se la identifica comoparte del dominio afectivo. En este trabajo hacemos una revisión acerca de las concepciones predominantessobre la afectividad y las actitudes en la educación y, presentamos una propuesta que ubica las actitudes dentrode un modelo de aprendizaje de la Matemática-Estadística. Este modelo nos permite brindar una definiciónde las actitudes, que resulta más útil para explicar diversos resultados de la literatura, así como para el trabajoeducativo, al reconocer que esta se organiza en el plano de las representaciones, considerando los dominioscognitivo, afectivo y conativo, y que determina aprendizajes a través de procedimientos productivos, emotivosy volitivos, elaborados a través de información psíquica; y a su vez al reconocer que los aprendizajespueden mediar como información social futura para la estabilidad o no de la actitud.
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While many teachers of statistics are likely to focus on transmitting knowledge, many students are likely to have trouble with statistics due to non-cognitive factors, such as negative attitudes or beliefs towards statistics. Such factors can impede learning of statistics, or hinder the extent to which students will develop useful statistical intuitions and apply what they have learned outside the classroom. This paper reviews the role of affect and attitudes in the learning of statistics, critiques current instruments for assessing attitudes and beliefs of students, and explores assessment methods teachers can use to gauge students' dispositions regarding statistics.
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Purpose Students' attitudes and beliefs can impede (or assist) learning statistics, and may affect the extent to which students will develop useful statistical thinking skills and apply what they have learned outside the classroom. This chapter alerts educators to the importance of assessing student attitudes and beliefs regarding statistics, describes and evaluates different methods developed to assess where students stand in this regard, provides suggestions for using and extending existing assessments, and outlines future research and instructional needs.
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This study examined the extent to which statistics and mathematics anxiety, attitudes toward mathematics and statistics, motivation and mathematical aptitude can explain the achievement of Arabic speaking pre-service teachers in introductory statistics. Complete data were collected from 162 pre-service teachers enrolled in an academic teacher-training program for elementary and middle schools in Israel. The data, except for the two achievement tests, were collected during statistics classes prior to the midterm examination. The majority (96%) of participants were female students with a mean age of 21. As regards variables examined in this study, only the hypothesized effect of mathematical aptitude on achievement in statistics was relatively large. The results also indicated that mathematical aptitude, mathematics anxiety, attitudes toward mathematics and statistics, and motivation, together accounted for 36% of the variance in achievement in introductory statistics for the current sample.
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Combining the efforts of sociologists and psychologists, this work, originally published in 1952 and revised in 1966, embraces these two disciplines to show how social-psychological problems must be viewed in individual as well as general terms. Human interaction is, therefore, the main theme of this authoritative and rewarding volume, which offers a more comprehensive viewpoint than texts written from with a strictly psychological or a strictly sociological approach. Whenever it can be shown that interaction intervenes between individual and group variables, the authors carefully note the manner in which this occurs. Well written yet succinct, the chapters are closely integrated to present continuously developing concepts of the time. Research illustrations are set off typographically but skilfully woven into the related text. Three appendixes, one on the measurement of individual attitudes, a second on survey research, and a third on Bale's interaction process analysis, may be consulted without interrupting the flow of the other chapters.
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The study takes the scale of Galbraith and Hines (1998, 2000) and arguments exposed by Galbraith, Hines and Pemberton (1999), Cretchley, Harman, Ellerton and Fogarty (2000), McDougall and Karadag (2009), Gómez-Chacón and Haines, (2008), Goldenberg (2003), Moursund (2003), about Mathematics confidence, Mathematics motivation, Computer confidence, Computer motivation, Computer and Mathematics interaction and Mathematics engagement. In the same way the arguments of García and Edel (2008), García-Santillán and Escalera (2011), García-Santillán, Escalera and Edel (2011) about variables associated with the use of ICT as a didactic strategy in teaching-learning process in order to establish a relationship between students perception with the teaching-learning process and technology. Therefore this paper examines the relationships between students attitudes towards mathematics and technology in a study carried out in the Universidad Autónoma of San Luis Potosí Unidad Zona Media. 214 questionnaires were applied to undergraduate students in Accounting, Management and Marketing. The statistical procedure was the factorial analysis with extracted principal component. The Statistics Hypothesis: Ho: ρ = 0 have no corelation Ha: ρ ≠0 have correlation. Statistic test to prove: Χ², Esphericyty test of Bartlett, KMO (Kaiser-Meyer_Olkin) Significancy level: α =0.05; p< 0.01, p<0.05 Decition rule is: Reject Ho if c² calculated > c² tablas. The results obtained of sphericyty test of Bartlett KMO (.703), Chi square X² 92.928 > c² tables, Sig. 0.00 < p 0.01, MSA (CONFIMA .731; MOTIMA .691; COMPIMA .741; CONFICO .686 and INTEMAC .694) provide evidence to reject Ho. Thus, the variables implicated Mathematics confidence, Mathematics motivation, Computer confidence, Computer motivation, Computer-Mathematics interaction and Mathematics engagement, help to understand the student’s attitude toward mathematics and technology. Keywords: Mathematics confidence, Mathematics motivation, Computer confidence, Computer motivation, Computer and Mathematics interaction, Mathematics engagement.
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The purpose of the present investigation was to develop a model for predicting statistics achievement. Participants were 130 graduate students enrolled in a quantitative-based educational research course at a southeastern university. A path analysis revealed that statistics anxiety and achievement expectation played a central role in the model, mediating the relationship between statistics achievement and the following variables: research anxiety, study habits, course load, and the number of statistics courses taken. Findings are interpreted with respect to Onwuegbuzie, Bailey, and Daley’s Anxiety-Expectation Mediation model of foreign language learning.
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Most college students are required to enroll in statistics and quantitative research methodology courses as a necessary part of their degree programmes. Unfortunately, many students report high levels of statistics anxiety while enrolled in these classes. Recent years have seen an increase in the number of articles on statistics anxiety appearing in the literature, as researchers have recognised that statistics anxiety is a multidimensionality construct that has debilitative effects on academic performance. Thus, the purpose of this article is to provide a comprehensive summary of the literature on statistics anxiety. In particular, the nature, etiology, and prevalence of statistics anxiety are described. Additionally, antecedents (i.e. dispositional, situational and environmental) of statistics anxiety are identified, as well as their effects on statistics achievement. Furthermore, existing measures of statistics anxiety are documented. Finally, based on the literature, successful interventions for reducing statistics anxiety are described. Implications for future research are provided.
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Wise's 1985 Attitude Toward Statistics scale was used to obtain normative data for 222 teachers enrolled in graduate classes in statistics and research methods. Comparisons with norms from other studies in which the scale was used indicated that these teachers had less positive attitudes toward the field of statistics and the course than did graduate students in psychology. In addition, the teachers had less positive attitudes toward the field of statistics than did undergraduate students from a variety of disciplines. These differences in attitudes ranged from .55 to .87 standard deviations, indicating moderate to large effect sizes. Recommendations for research include replicating the study.
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The purpose of the present study is to investigate evidence of the validity of Survey of Attitudes Toward Statistics Scale (SATS) scores and their relationship with scores from two other measures of attitudes toward statistics, the Attitude Toward Statistics Scale (ATS) and the Statistics Attitude Survey. The pre- and postcourse responses of 342 graduate and undergraduate students enrolled in inferential statistics courses at a large midwestern university were analyzed. Internal consistency reliability estimates were greater than .90 for total scores and greater than .70 for subscale scores for all instruments. Regression analyses confirmed the importance of SATS subscale scores over and above demographic variables in a theoretical model predicting statistics course achievement. Factor analyses suggested that both the ATS and the SATS have two domains, which is contrary to the four-factor solution proposed by the developers of the SATS.
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A 34 item scale entitled Statistics Attitude Survey (SAS) was developed and administered to three samples of students taking a beginning statistics course. Analyses showed that the scale was highly homogeneous and that total scale scores had moderate correlations with statistics grades.
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Presents a study aimed at using qualitative research models to examine the nature and etiology of statistics anxiety among graduate students (N=21) from various non-statistical disciplines. Suggests that statistics anxiety occurs when an individual experiences anxiety as a result of encountering statistics in any form at any level. Contains 32 references. (ASK)
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Studied empirical factors related to achievement in educational research courses using a sample of 121 graduate students. Students with the lowest achievement tended to have or exhibit at least one of these characteristics: younger age, lower overall achievement, higher levels of research anxiety, higher statistics anxiety, poorer study habits, lower achievement expectations, more previous research methodology courses, and heaviest course loads. (SLD)
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EncStat (Encouraged about Statistics) is a multimedia program being developed to identify and assist students with statistics anxiety or negative attitudes about statistics. This study explored the validity of the assessment instruments included in EncStat with respect to their diagnostic value for statistics anxiety and negative attitudes about statistics and conducted a pilot study of a weekly attitude change tracking instrument. Data from 69 graduate students supported the psychometric integrity of the Survey of Attitudes towards Statistics (SATS; Schau, Stevens, Dauphinee, and Del Vecchio, 1995) and the Statistical Anxiety Rating Scale (STARS; R. Cruise, R. Cash, and D. Bolton, 1985) and their revised, combined version. The Study Skills assessment and the Past Math History assessment developed for the EncStat program were also evaluated and supported. The Statistics Anxiety Weekly Affect Check, which evaluated 23 emotions in 7 areas related to statistics, was analyzed through 998 affect responses over a semester. Exploratory factor analysis identified the factor structure of the scale, and internal consistency estimates were acceptable. Findings also supported the mathematics diagnostic scale developed for use at the beginning of statistics courses. Findings suggest the statistics anxiety surveys targeted for EncStat will support reliable decisions in the program without undue burdens on students. The affect check is attached. (Contains 11 tables and 6 references.) (SLD)
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Describes the development and validation of a new instrument, the Attitudes Toward Statistics (ATS) scale, designed for use in the measurement of attitude change in introductory statistics students. Two ATS subscales are identified: Attitude Toward Course and Attitude Toward the Field. These subscales were demonstrated to have both high internal consistency and test–retest reliability with data from 2 samples of 92 and 70 university students. Data also show that each ATS subscale provided distinctly different information about Ss' attitudes. (2 ref) (PsycINFO Database Record (c) 2012 APA, all rights reserved)
Article
Discusses the issue of attitudes' internal and external structure and the structural motivational, or functional, issue of the goals that attitudes serve. The issue addresses the question of what attitudes are, and the motivational issue addresses the question of why people hold attitudes. After reviewing the classic tripartite cognitive-affective-behavioral analysis of attitudes and introducing the major approaches to understanding attitudes' internal and external structure, the chapter examines the important concept of attitude strength. The chapter proceeds by considering attitudinal selectivity at various stages of information processing—that is, the tendency to process information differentially depending on its consistency with one's attitudes. The next discussion pertains to the relation of attitudes to overt behaviors, one of the 3 response classes through which attitudes are expressed. The functional issue of how attitudes relate to people's general goals are considered. Understanding attitudes' functions should itself be considered a structural issue because the embedding of attitudes in molar structures of values, motives, and personal goals is the focus of this theorizing tradition. Questions concerning attitudes' structure and function are closely intertwined. (PsycINFO Database Record (c) 2012 APA, all rights reserved)
Article
Differences between 88 Teachers of the Year and 92 inservice teachers and the relationship of Teachers of the Year vs inservice teachers to teachers' gender, years of teaching experience, grade level taught, or highest degree earned were analyzed using data collected with the Teacher Belief Questionnaire. The questionnaire is a self-report instrument combining demographic information and 4 teacher-belief instruments: Teacher Efficacy Scale, Teacher Locus of Control Scale, Pupil Control Ideology Form, and Wilson Stress Profile for Teachers. A general linear model was constructed to test 6 hypotheses using a logistic multiple regression procedure. Results indicated that Teachers of the Year were significantly more humanistic in their pupil-control beliefs and had more degrees than did inservice teachers who taught the same subjects in schools of the same size and type in the same states. (PsycINFO Database Record (c) 2012 APA, all rights reserved)
Article
The purpose of this study was to investigate the relationship between perfectionism and statistics anxiety, using a multivariate approach. Participants were 107 students enrolled in graduate-level research methodology courses. A canonical correlation analysis revealed that graduate students who hold unrealistic standards for significant others (i.e. other-oriented perfectionists) and those who maintain a perceived need to attain standards and expectations prescribed by significant others (i.e. socially-prescribed perfectionists) tend to have higher levels of statistics anxiety associated with interpretation anxiety, test and class anxiety, computational self-concept and fear of asking for help. The implications of these findings are discussed.
Effects of mathematics self-concept, perceived self-efficacy, and attitudes toward statistics on statistics achievement
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