The Reciprocal Relationship Between Parental Involvement and Mathematics Achievement: Autoregressive Cross-Lagged Modeling

This study focused on comparing the longitudinal associations between two types of parental involvement (i.e., mathematics value and academic reinforcement) and high school students’ mathematics achievement, using data from the Longitudinal Study of American Youth(LSAY). Results, based on multivariate autoregressive cross-lagged modeling, indicated that parents’ academic reinforcement had no effect on students’ mathematics achievement and vice versa; however, a statistically significant positive reciprocal influence existed between parents’ mathematics value and students’ mathematics achievement throughout high school. This result not only reaffirms that parental involvement is a multidimensional construct but also implies that parental involvement has a domain-specific effect. Results from multigroup analyses revealed that students’ gender did not have a differential effect on these associations.     

Students’ formative assessment perceptions,feedback use and mathematics performance in secondary schools in Tanzania

This study investigates the impact of secondary school students’ perceptions of mathematics teachers’ formative assessment practices and feedback delivery on their feedback use, and mathematics performance. The sample consisted of 2767 Form 3 (Grade 11) students from 48 secondary schools in Tanzania. Surveys and focus group discussions were used to measure students’ perceptions of formative assessment, feedback delivery, and feedback use. Structural Equation Modelling (SEM) of survey data showed that students’ perceptions of the quality of teacher feedback delivery and perceived scaffolding positively predicted students’ feedback use whereas perceived monitoring negatively predicted feedback use. In turn, students’ feedback use positively predicted their mathematics performance to a small extent. Content analysis of focus group discussions illustrated that most students valued their mathematics teacher’s assessment practices. The findings imply that in Sub-Saharan African educational systems the quality of teacher feedback delivery and promotion of student feedback use can improve students’ mathematics performance.     

The Model Size Effect in SEM: Inflated Goodness-of-Fit Statistics Are Due to the Size of the Covariance Matrix

The size of a model has been shown to critically affect the goodness of approximation of the model fit statistic T to the asymptotic chi-square distribution in finite samples. It is not clear, however, whether this “model size effect” is a function of the number of manifest variables, the number of free parameters, or both. It is demonstrated by means of 2 Monte Carlo computer simulation studies that neither the number of free parameters to be estimated nor the model degrees of freedom systematically affect the T statistic when the number of manifest variables is held constant. Increasing the number of manifest variables, however, is associated with a severe bias. These results imply that model fit drastically depends on the size of the covariance matrix and that future studies involving goodness-of-fit statistics should always consider the number of manifest variables, but can safely neglect the influence of particular model specifications.     

Modeling the influences of upper-elementary school students’ digital reading literacy,socioeconomic factors,and self-regulated learning strategies

Background: Reading is an interactive and constructive process of making meaning by engaging a variety of materials and sources and by participating in reading communities at school or in daily life.

Aim: The purpose of this study was to explore the factors affecting digital reading literacy among upper-elementary school students.

Method: A 3-stage stratified cluster sampling was implemented that resulted in a sample of 592 upper-elementary students from 29 classes in 7 schools. Self-Regulated Learning Strategies Assessment (S-RLSA), Digital Reading Literacy Assessment (DRLA), and student reports of their parents’ education backgrounds were used to collect data on the outcome and predictor variables. Interpretation of these data involved two highly regarded statistical techniques. First, structural equation modeling was used to explore relationships amongst the constructs. Second, multi-group invariance (MI) analyses were used to assess the influence of parental education and self-regulated learning strategies on students’ digital reading literacy.

Results: Enriching students’ family learning resources and strengthening their self-regulated learning abilities could have very important influences on promoting upper-elementary school students' digital reading literacy -webpage information retrieval, reading and communication abilities.

Conclusions: This study also provides information on how teachers can address student resources to improve digital reading literacy and self-regulated strategies.     

Exploratory and Confirmatory Factor Analysis of the School Level Environment Questionnaire (SLEQ)

The purpose of the present study was to validate an existing school environment instrument, the School Level Environment Questionnaire (SLEQ). The SLEQ consists of 56 items, with seven items in each of eight scales. One thousand, one hundred and six (1106) teachers in 59 elementary schools in a southwestern USA public school district completed the instrument. An exploratory factor analysis was undertaken for a random sample of half of the completed surveys. Using principal axis factoring with oblique rotation, this analysis suggested that 13 items should be dropped and that the remaining 43 items could best be represented by seven rather than eight factors. A confirmatory factor analysis was run with the other half of the original sample using structural equation modeling. Examination of the fit indices indicated that the model came close to fitting the data, with goodness-of-fit (GOF) coefficients just below recommended levels. A second model was then run with two of the seven factors, with their associated items removed. That left five factors with 35 items. Model fit was improved. A third model was tried, using the same five factors with 35 items but with correlated residuals between some of the items within a factor. This model seemed to fit the data well, with GOF coefficients in recommended ranges. These results led to a refined, more parsimonious version of the SLEQ that was then used in a larger study. Future research is needed to see if this model would fit other samples in different elementary schools and in secondary schools both in the USA and in other countries. This revised version was published online in July 2006 with corrections to the Cover Date.     

The relationship among elementary teachers’ content knowledge,attitudes, beliefs,and practices

This study investigated 481 in-service elementary teachers’ level of mathematical content knowledge, attitudes toward mathematics, beliefs about the effectiveness of inquiry-based instruction, use of inquiry-based instruction and modeled the relationship among these variables. Upper elementary teachers (grades 3–5) were found to have greater content knowledge and more positive attitudes toward mathematics than primary teachers (grades K-2). There was no difference in teachers’ beliefs about effective instruction, but primary level teachers were found to use inquiry-based instruction more frequently than upper elementary teachers. Consistent with Ernest’s [Ernest (1989). The knowledge, beliefs and attitudes of the mathematics teacher: A model. Journal of Education for Teaching, 15(1), 13–33] model of mathematics teaching, content knowledge, attitudes, and beliefs were all found to be related to teachers’ instructional practice. Furthermore, beliefs were found to partially mediate the effects of content knowledge and attitudes on instructional practice. Content knowledge was found to be negatively related to beliefs in the effectiveness of inquiry-based instruction and teachers’ use of inquiry-based instruction in their classrooms. However, overall, teachers with more positive attitudes toward mathematics were more likely to believe in the effectiveness of inquiry-based instruction and use it more frequently in their classroom. Teacher beliefs were found to have the strongest effect on teachers’ practice. Implications for the goals and objectives of elementary mathematics methods courses and professional development are discussed.

我国数学教育研究的发展与趋势--《数学教育学报》创刊13年引文定量分析

《数学教育学报》创刊13年来篇均引用文献量为4.73篇,中文引文占引文总数的89.61%;中外文引文都集中在期刊和图书两种类型上,其它类型文献引用较少;引文学科集中在数学教育学、数学和教育心理学上;从《学报》引用情况可以看出我国数学教育学研究有较好的连续性和关联性;《学报》的普赖斯指数为49.68%,充分反映出我国数学教育研究论文与《学报》具有很强的新颖度.引文定量分析是揭示我国数学教育学研究的现状和发展趋势的有效途径.     

High-stakes examination preparation that controls teaching: Chinese prospective teachers’ conceptions of excellent teaching and assessment

How prospective teachers conceive of teaching excellence and assessment purposes probably influences how teaching and assessment practices are implemented in the future. This study evaluated, in four ‘normal universities’ in the People’s Republic of China, 765 prospective teachers’ responses to two self-report instruments regarding the nature of excellent teaching and the purpose of assessment. Both questionnaires had previously been developed in Mandarin Chinese and validated with large samples of practicing teachers in China. The original models could not be recovered and with exploratory and confirmatory factor analysis alternative models were found. Excellent teaching was conceived as four inter-correlated factors (i.e. Professional, Model, Examination and Life-long), as also were the purposes of assessment (i.e. Diagnose and Formative, Irrelevant, Control and Life Character). Structural equation modelling showed that the strongest relationship between teaching excellence and assessment began with the examination factor which positively predicted assessment as Irrelevant and for Life Character development and negatively the Diagnose and Formative purpose. Results are consistent with the high-stakes examination system of China and the status of prospective teachers who have only recently stopped being students.     

University students’ perceptions of summative assessment: The role of context

We report on a mixed-method study that compared students’ perceptions of summative assessment across two distinct disciplines – education and mathematics, at two research-intensive institutions in the UK. The disciplines chosen represent opposing positions in Biglan’s classification of academic disciplines, as well as having very different assessment practices. Results suggest that these education students prefer to be assessed by methods they perceive to discriminate on the basis of academic abilities. Moreover, they perceive the traditional closed-book examination as inadequate to assess the capabilities which are key to being successful in their subject, which fits some but not all of the general findings in the literature. However, comparing these results with those of an identical study with mathematics students, we find that the perceptions of summative assessment are very different. We account for that difference by suggesting that students’ epistemic beliefs play a role in shaping these perceptions and conclude that, in designing summative assessment in higher education, generalised and centralised forces for change need to be tempered by contextual and disciplinary factors.     

Different influence of contextual educational factors on boys＇ and girls＇ reading achievement

The results of lEA （The International Association for the Evaluation of Educational Achievement） PIRLS 2006 （Progress in International Reading Literacy Study） has showed that Latvia has the 6th largest gender gap in reading literacy scores and that is an indication of a serious problem of education in this country. The purpose of the paper is to find out reasons behind boys＇ low achievement to help improve their reading literacy. The proposed hypothesis is that boys and girls are differently affected by the same factors. If that is so, teachers, parents and other education practitioners should be aware of this fact to adapt reading literacy studies for both genders at maximum efficiency. In this research, PILRS 2006 data are used and different structural equation models are created to find out which factors have the most influence on boys＇ reading achievement. Structural equation modeling （SEM） is based on achievement scores and student and parent questionnaire data. The model formed using all population data was applied to boys＇ and girls＇ data separately to observe different influence of the same factors on students reading achievement scores. The comparison of standardized coefficients of structural equation model among five countries （Spain, Russian Federation, Lithuania, Latvia and Trinidad and Tobago） has been performed. Running the same model over different boys＇ and girls＇ data of different countries has showed that the strengths of relationships among the variables are similar. It was expected to observe noticeable differences between SEM coefficients of boys＇ and girls＇ data, but it turned out that big gender differences in reading achievement does not mean big differences in standardized coefficients of structural equation model and vice versa. It is found that school environment has greater impact on boys reading literacy.     

A Comparison of CFA,ESEM, and BSEM in Test Structure Analysis

Minor cross-loadings on non-targeted factors are often found in psychological or other instruments. Forcing them to zero in confirmatory factor analyses (CFA) leads to biased estimates and distorted structures. Alternatively, exploratory structural equation modeling (ESEM) and Bayesian structural equation modeling (BSEM) have been proposed. In this research, we compared the performance of the traditional independent-clusters-confirmatory-factor-analysis (ICM-CFA), the nonstandard CFA, ESEM with the Geomin- or Target-rotations, and BSEMs with different cross-loading priors (correct; small- or large-variance priors with zero mean) using simulated data with cross-loadings. Four factors were considered: the number of factors, the size of factor correlations, the cross-loading mean, and the loading variance. Results indicated that ICM-CFA performed the worst. ESEMs were generally superior to CFAs but inferior to BSEM with correct priors that provided the precise estimation. BSEM with large- or small-variance priors performed similarly while the prior mean for cross-loadings was more important than the prior variance.     

When Are Multidimensional Data Unidimensional Enough for Structural Equation Modeling? An Evaluation of the DETECT Multidimensionality Index

In structural equation modeling (SEM), researchers need to evaluate whether item response data, which are often multidimensional, can be modeled with a unidimensional measurement model without seriously biasing the parameter estimates. This issue is commonly addressed through testing the fit of a unidimensional model specification, a strategy previously determined to be problematic. As an alternative to the use of fit indexes, we considered the utility of a statistical tool that was expressly designed to assess the degree of departure from unidimensionality in a data set. Specifically, we evaluated the ability of the DETECT “essential unidimensionality” index to predict the bias in parameter estimates that results from misspecifying a unidimensional model when the data are multidimensional. We generated multidimensional data from bifactor structures that varied in general factor strength, number of group factors, and items per group factor; a unidimensional measurement model was then fit and parameter bias recorded. Although DETECT index values were generally predictive of parameter bias, in many cases, the degree of bias was small even though DETECT indicated significant multidimensionality. Thus we do not recommend the stand-alone use of DETECT benchmark values to either accept or reject a unidimensional measurement model. However, when DETECT was used in combination with additional indexes of general factor strength and group factor structure, parameter bias was highly predictable. Recommendations for judging the severity of potential model misspecifications in practice are provided.     

关于中学生数学观的研究

章首先阐述了现代数学观的基本特征及其在近期数学教育中的发展状况。在此基础上,着重探讨了中学生数学观的生成机理,将中学生数学观分为数学知识观与数学学习观两个维度,进而阐述了两之间相辅相成的关系。