Studying attitude to mathematics

Teachers' attitude to mathematics is increasingly put forward as a dominant factor in children's attitudes to mathematics. Our intention at the beginning of this study was to produce instruments for teachers to use in probing student attitudes as part of their personal professional research and development. To this end we undertook eight small studies of attitude carried out across the educational phases, which we report on here. Reflecting on them led us to challenge the very construct of attitude. We are also led to challenge the cause-and-effect model underlying much attitudinal research. We now see attitude as at best a complex notion, and we conjecture that perhaps it is not a quality of an individual but rather a construct of an observer's desire to formulate a story to account for observations. The difficulty in making attitudinal research precise, and in testing the validity of attitudinally based conjectures, lies therefore in conceptual and hence methodological issues.     

A study of the use of “invitations to enquiry” and student attitude

This study was designed to isolate the attitude of high ability ninth grade BSCS students toward instruction utilizing “Invitations to Enquiry.” Both control and experimental groups received similar instruction with the addition of twenty “Invitations” to the experimental classes over an eight week period. No significant differences in attitudinal scores as measured by Remmer's A Scale to Measure Attitude Toward Any School Subject was found when the poststudy scores were adjusted for prestudy attitude, IQ and mid-study attitude or when the attitude at the end of four weeks of the study was adjusted using prestudy attitude and IQ.     

ATTITUDES OF OLDER ADULTS TOWARD A COMPUTER TRAINING PROGRAM

Many older adult have an interest in learning to use computers. The study reported in this article examined whether older adults' attitudes toward computers can be influenced by direct, customized computer training. Thirty older participants who registered for introductory computer courses offered at a SeniorNet computer lab completed the Attitudes Toward Computers Questionnaire (ATCQ) before and after class participation. Attitudes were assessed on seven dimensions. There was borderline statistical significance for the “comfort” attitude dimension, which assesses the respondent's feeling of comfort with the computer and its use. No significant differences were found for the remaining six attitude dimensions. The results underscore the importance of the intervention design in eliciting attitude change. Based upon the findings of this research, several actions have taken place to increase comfort and efficacy and to control attitudinal dimensions, thereby providing more meaningful experiences for the participants.     

The development of dance attitude scales

This research report describes the development of dance attitude scales which were 'grounded' in the opinions of groups of 11-16-year-old pupils in six schools throughout England. Factor analyses involving an initial sample of 368 male and female secondary school pupils produced four embryonic scales which were then tested with a sample of 1,668 adolescents. Satisfactory internal reliability coefficients were achieved and scale intercorrelations provided evidence of the scales as distinct measures. Further analyses undertaken to test validity employing data from the larger sample indicated that two of the proposed scales, Ballet and Male Dancers, may be valid measures of attitude, although less confidence can be placed in the third and fourth scales. Suggestions are made for the development and application of the inventory.     

Multiple Factor Analysis

The knowledge explosion in combination with an overcrowded curriculum at all educational levels is causing many educators to place greater emphasis on attitude conceptualization. This paper confronts two interrelated problems, that problem dealing with the psychological concept of attitudes and the problem of attitude measurement. Conceptually, attitudes are explored from an affective, cognitive, behavioral, and biologic dimension. The result is a comprehensive attitude concept. The problem of attitude measurement is not that attitudes exist, nor that they are specific or general, but lies in the way that they are organized. With the current emphasis on computerized research and data analysis, it is astonishing that multiple factor analysis has been so infrequently used for attitude validation and instrumentation. As a measurement and analytic technique, multiple factor analysis provides the intrinsic power to isolate and identify attitudinal factors. Multiple factor analysis is a measurement technique designed to assess construct validity. As such, it unites psychometrics with psychological theory. Factor analysis as a computational technique and as a scale construction technique is explored. The principal component method of factor analysis is reviewed. Multiple factor analysis assists in the process of attitude scale construction in the following ways: 1.) determines the content (factorial) validity of a series of attitude statements by ascertaining whether they measure a single unitary characteristic or a complex of characteristics as reflected in an item intercorrelation matrix; 2.) contributes to the determination of construct validity by ascertaining the smallest number of factors that can be postulated to account for item intercorrelations 3.) provides the statistical research strategy upon which predictive and assessment instruments can be empirically determined from an unrotated factor matrix; and, 4.) serves in general as an objective basic research tool through which psychological traits underlying human attitudes can be derived.     

Construction and Validation of an Instrument to Measure Taiwanese Elementary Students’ Attitudes toward Their Science Class

The main purpose of this study is to develop a valid and reliable instrument for measuring the attitudes toward science class of fourth‐ and fifth‐grade students in an Asian school culture. Specifically, the development focused on three science attitude constructs—science enjoyment, science confidence, and importance of science as related to science class experiences. A total of 265 elementary school students in Taiwan responded to the instrument developed. Data analysis indicated that the instrument exhibited satisfactory validity and reliability with the Taiwan population used. The Cronbach’s alpha coefficient was 0.93 for the entire instrument indicating a satisfactory level of internal consistency. However, both principal component analysis and parallel analysis showed that the three attitude scales were not unique and should be combined and used as a general “attitudes toward science class” scale. The analysis also showed that there were no gender or grade‐level differences in students’ overall attitudes toward science class.     

COLLEGE STUDENTS’ REACTIONS TOWARDS KEY FACETS OF CLASSROOM TESTING

The major aim of the present study is to assess college students’ attitudes, perceptions, emotional reactions and affective dispositions with respect to various critical dimensions of course achievement testing and assessment, including: “papers” vs. “exams”, “essay” vs. “multiple choice” type formats, “open book” vs. “closed book” exams, “free choice” among items vs. “no free choice” among items, and “oral” vs. “written” modes of test administration. A further aim is to delineate the construction, properties, and potential classroom uses and applications of a selected sample of examinee feedback inventories designed to gauge students’ test attitudes and dispositions. The use of each examinee feedback inventory is demonstrated and exemplified in the context of an empirical study. This paper discusses the assumptions underlying the use of feedback systems in college achievement evaluation; their importance for assessing the face validity of classroom tests; some possible future applications of feedback inventories for research and applied purposes in college; and some guidelines for future research. A mapping sentence specifying the universe of content of test attitude and examinee feedback research is suggested as a heuristic device for guiding future research.     

Adolescents’ personal conceptions of intelligence: The development of a new scale and some exploratory evidence

This study presents the building of an instrument to measure personal conceptions of intelligence based upon Dweck research, and some exploratory evidence. The instrument is directed to adolescents, has got more items than the original one and incorporates new aspects, such as the importance of effort and ability in relation with personal conceptions of intelligence. The results of a factor analysis evidenced the existence of two distinct factors — a static and a dynamic one — that explain together 31.7% of the total variance. The internal consistency of the scales evidenced alpha coefficients between .74 and .80. The results of a test-retest reliability study (with a month interval) proved to be better for the static scale than to the the dynamic one, as well as the results of an external validity study (correlations with grade point average). Some differential exploratory studies showed differences in personal conceptions of intelligence related to school grades (5th to 11th): the scores increased from the 5th to the 11th grade, showing that older students were less “static” (more “dynamic”), and also related to the socio-economic status (high vs. low): the higher SES subjects appeared less “static” (more “dynamic”) than the lower SES subjects.     

On Meaningful Measurement: Issues of Reliability and Validity from a Humanistic Constructivist Information‐Processing Perspective

ABSTRACT

In the past decade, there has been interest in the assessment of cognitive and affective processes and products for the purposes of meaningful learning. Meaningful measurement (MM) has been proposed which is in accordance with a humanistic constructivist information‐processing perspective. Students’ responses to the assessment tasks are now evaluated according to an item response measurement model, together with a hypothesized model detailing the progressive forms of knowing/competence under examination. There is a possibility of incorporating student errors and alternative frameworks into these evaluation procedures. Meaningful measurement leads us to examine the composite concepts of “ability” and “difficulty”. Under the rubric of meaningful measurement, validity assessment (i.e. internal and external components of construct validity) is essentially the same as an inquiry into the meanings afforded by the measurements. Concepts of reliability, expressed as a group statistics which is applied in the same way to all the examinees in the sample, have to be obviated when the precision of the trait estimates stemming from the item response measurement models can be determined at each trait level. Reliability, measured in terms of standard errors of estimates needs to be within acceptable limits when internal validity is to be secured. Further evidence of validity may be provided by in‐depth analyses of how “epistemic subjects” of different levels of competence and proficiency engage in different types of assessment tasks, where affective and metacognitive behaviours may be examined as well. These ways of undertaking MM can be codified by proposing a three‐level conceptualization of MM. It is within the rubric of this conceptualization and the MM enquiry paradigm that validity and reliability of test measures are discussed in this paper.     

Relationship between perceived levels of classroom individualization and science-related attitudes

Relationships between perceived levels of classroom individualization and science-related attitudes were explored for a sample of 712 junior high school science students. Five dimensions of perceived individualization (personalization, participation, independence, investigation, and differentiation) were measured with the Individualized Classroom Environment Questionnaire (ICEQ), while seven distinct attitudes were measured with the Test of Science-Related Attitudes (TOSRA). Hierarchical regression analyses revealed that the set of individualization variables accounted for a significant increment in end-of-year attitude scores, beyond that attributable to corresponding beginning-of-year attitude scores, for four of the seven attitudes considered. Significant associations between an individual individualization variable and an attitudinal dimension were positive in all cases. The study also provided support for the reliability and validity of the ICEQ and TOSRA and for their general usefulness in science education research.     

Evaluating tertiary teaching: A New Zealand perspective

The purpose of this research was to test the applicability of two American instruments designed to assess tertiary students' evaluations of teaching effectiveness with New Zealand students. The scales were found to have high internal consistency reliability coefficients, most of the items were seen to be appropriate, and every item was considered of importance by at least some of the students. In addition, all but the Workload/Difficulty items clearly differentiated between “good,” “average,” and “poor” lectures. Further analyses generally supported both the factor structure identified in earlier research and the convergent and discriminate validity of the scales from both instruments. This research has provided strong support for the applicability of these American instruments for evaluating effective teaching at a New Zealand university.     

Separating Quantitative and Analytic Dimensions in the Swedish Scholastic Aptitude Test (SweSAT)

The aim of the present study was to further investigate the properties of a “quantitative” factor previously identified in the “diagrams, tables and maps” subtest of SweSAT. The analyses were carried out with a structural equation modelling technique on the spring 1991 version of SweSAT with 19‐year‐old test takers and were replicated on four ensuing versions of the test (n?=?14,431–19,597). The “quantitative” factor was successfully separated from the analytic, problem‐solving dimension with regard to the first test, whereas the results of replications were somewhat less clear‐cut.     

The dimensions of reading attitude for inner-city Detroit fifth graders

A principle-factor analysis of the 88 items comprising the Survey of Reading Attitudes investigated the construct validity of the eight dimensions of reading attitude. The sample consisted of 344 inner-city Detroit fifth graders. The factor structure showed support for the Expressed Reading as Difficulty, Reading as Enjoyment, Silent vs. Oral Reading, and Alternative Learning Modes dimensions. However, the Reading Anxiety dimension tended to merge with the Expressed Reading Difficulty dimension, and the Reading as Direct Reinforcement and Reading Group dimensions merged into a single dimension. This finding suggests these dimensions may be correlated, and an oblique rotation may be more appropriate. The Comics dimension split into two dimensions: Comic Books and Newspaper Comics. Thus, these findings generally cross-validate the dimensions of reading attitude found in earlier studies of the Survey of Reading Attitudes.     

认知突显视阈下英汉多义动词对比研究--基于语科的“run/跑”为例

动词表征事件,涉及到事件主体、方式、结果等因素,不同因素的突显是多义性产生的动因。基于认知语言学的图形背景以及运动事件理论,以英汉多义动词“run/跑”为例,两者都在共性突显运动目的、速度和结果方面延伸出了基本相同的义项;但是英语“run”在时间、位移、状态、路线,而汉语“跑”则在方式、方向方面进行个性突显,使两者有了不同的义项。同时由于英语“run”比汉语“跑”在突显时延伸出的语义更加具体,因而比汉语有更多的义项。     

The effects of digital storytelling on student achievement,social presence,and attitude in online collaborative learning environments

This study investigated the effects of digital storytelling on student achievement, social presence, and attitude in online collaborative learning environments. Students in one middle school course were randomly assigned to one of the two treatment groups after they received initial general instruction regarding teamwork skills. The “digital storytelling-based online collaborative learning (DST-OCL)” and the “general online collaborative learning (G-OCL)” groups received subsequent associated skills training. The overall results indicated that after each group took part in the treatment during online collaborative learning activities, the “DST-OCL” groups had significantly higher social presence than the “G-OCL” groups. Specifically, using “DST-OCL” strategies was significantly more effective than using “G-OCL” strategies for improving the “online communication,” “interactivity,” and “privacy” components of students’ social presence in online collaborative learning environments. There was no significant difference between the two groups regarding student achievement and attitude. The findings of this study offer an insight into methods for using digital storytelling as an instructional strategy for improving online collaborative learning effectiveness.     

Creative literacy activities promote positive reading attitude in children learning English as a foreign language

This study investigated the effects of creative literacy classroom activities on the acquisition of English as a foreign language. Ninety Chinese second graders were tested on reading attitude and English receptive vocabulary knowledge. They were randomly assigned to either a control group or an experimental group, which engaged in English creative classroom activities for 10 weeks. Repeated measures analyses showed a significant interaction effect for reading attitude, providing empirical evidence that English creative classroom activities can enhance reading attitude. This study extends past research by demonstrating the links between creative activities and reading attitude, as well as highlights the feasibility of incorporating creative literacy activities within foreign language education. This provides a new direction for researchers and educators to develop instructional practices that incorporate a stimulating environment for English‐as‐a‐foreign‐language students. Future longitudinal research could examine whether these benefits can be maintained over a longer period.     

Primary assessment activity and learner perceptions of attitude change in four MOOCs

This study seeks to examine perceptions of attitudinal change in relation to the primary assessment activity within four Massive Open Online Courses (MOOCs) that were designed for attitudinal learning. The purpose of this study was twofold. First, we sought to understand if by focusing on assessing cognitive learning (quizzes) as opposed to behavioral learning (personal projects), the courses would result in greater reported attitude change in the respective areas. The second component of the study examined whether learners who identified cognitive learning (quizzes) as opposed to behavioral learning (personal projects) as the most impactful learning activity (or vice versa) reported stronger learning in the respective attitudinal component. Using an author-created survey that included learner reported attitudinal learning, perceptions of attitude change were collected. Results revealed that learners who utilized assessment activities focusing on behavioral learning did not report higher perceptions of behavioral learning. In contrast, learners utilizing assessment activities that focused on cognitive learning did report higher perceptions of cognitive learning. We conclude with a discussion of instructional design and facilitation of learning in MOOCs, as well as instruction for attitudinal learning within open-learning environments.     

Measuring Attitude Towards Science Among Secondary School Students: the affective domain

This paper describes the development of a new measure of attitude towards science for use among secondary school pupils which operationalises the affective attitudinal domain. Item selection, the internal structure and reliability of the scale, content validity and construct validity were established on a sample of 2129 pupils in the third, fourth, fifth and lower sixth years of Protestant and Catholic grammar schools in Northern Ireland. Scale norms demonstrate that males record a more positive attitude towards science than females, and that younger pupils record a more positive attitude towards science than older pupils.