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1.
This study examined the relationship of selected cognitive and affective variables to mathematics achievement for a random sample of 60 students as they progressed through 6th, 8th,10th and 12th grades. A consistent gender difference was found for stereotyping mathematics as a male domain. No consistent significant gender difference between means was found for spatial skills, verbal skill or mathematics achievement. Confidence, verbal skill and spatial visualization were each consistently positively correlated with mathematics achievement for both males and females. No gender difference was found for these correlations. However, spatial skills alone were found to be consistent significant predictors of mathematics achievement for females each year of the study, but not for males. Verbal skill was a consistent significant predictor of mathematics achievement for males, but not for females. The results of this study could lead to a reevaluation of the hypothesis that spatial skills help boys achieve in mathematics.  相似文献   

2.
Past studies have shown that distinct yet highly correlated sub-constructs of three broad mathematics affective variables: (a) motivation, (b) attitudes and (c) anxiety, have varying degree of correlation with mathematics achievement. The sub-constructs of these three affective constructs are as follows: (a) (i) amotivation, (ii) external regulation, (iii) introjection, (iv) identification, (v) intrinsic motivation; (b) (i) enjoyment of mathematics, (ii) self-confidence in mathematics, (iii) perceived value of mathematics; (c) (i) anxiety with mathematics and (ii) ease with mathematics. This study identifies, both within and across these three affective variables, the key sub-constructs that educators should focus upon when selecting learning process variables for mathematics achievement. Results were analysed using a series of stepwise regression analyses using data from 1018 Grade 12 students enrolled in a top pre-tertiary institution in Singapore, both for concurrent and predictive relationships, and also for both genders. Results of this study showed that after taking into account self-confidence in mathematics and ease with mathematics, all other sub-constructs of mathematics motivation, attitudes and anxiety were not significantly correlated with mathematics achievement. This is true for both concurrent and predictive relationships, and for both genders. Implications of the results of this study are twofold. First, results of this study provide educators with priority affective variables to focus upon in their efforts to enhance performance in mathematics via the affective domain. Second, in situations where administration time is limited, it may be possible to consider only self-confidence and ease with mathematics when investigating relationships between affect and mathematics achievement.  相似文献   

3.
The purpose of this study is to investigate the effects of computer-assisted videodisc-based anchored instruction on attitudes toward mathematics and instruction as well as problem-solving skills among Taiwanese elementary students. Results from a t-test indicate a significant main effect on student attitudes toward mathematics. Results from a two-way Repeated Measures ANOVA show that students' problem-solving skills improve significantly with anchored instruction. Results also indicate that all the students benefit from the effects of anchored instruction on their problem-solving performance regardless of their mathematics and science abilities. The findings suggest that video-based anchored instruction provide a more motivating environment that enhanced students' problem-solving skills. This study is significant because it establishes an example of video-based anchored instruction for Taiwanese students and also provides empirical evidence of its effects on affective and cognitive responses among fifth graders in learning mathematics. This study is helpful to educators who want to help students learn to think and learn throughout technology.  相似文献   

4.
The purpose of this study is to evaluate the relationship of mathematics calculation rate (curriculum-based measurement of mathematics; CBM-M), reading rate (curriculum-based measurement of reading; CBM-R), and mathematics application and problem solving skills (mathematics screener) among students at four levels of proficiency on a statewide test. It was hypothesized that CBM-M provides insufficient information to make good screening decisions and that other measures with content more similar to that of large-scale tests of mathematics would function to improve screening. One hundred and seventy students in third grade from a rural elementary school in the Midwestern United States participated. Structural equation modeling was used to evaluate direct, mediator, and latent growth models. In general, CBM-R mediated the relationship between the mathematics ability screener and passing the state assessment, while CBM-M did not have any significant paths within these models. Results are discussed in terms of the utility of CBM-M and CBM-R procedures in screening for success on state test performance in mathematics.  相似文献   

5.
This paper examines the relationships between a number of affective variables included in models explaining gender differences in mathematics learning and a range of classroom environment dimensions more likely to be associated with effective mathematics learning. A large sample of 12–13 year old grade 7 students participated in the study. The data were explored at the individual level, for whole class groupings of students, and by gender. For individuals, three of the classroom environment measures were found to be associated with a subset of the affective variables. The patterns of the relationships in classroom learning environments where teacher support emerged as irrelevant were not the same for males and females, however. For class groupings of students, the same three classroom environment measures were related to the affective variables but their salience was different for males and females.  相似文献   

6.
The aim of the study was to investigate the relationships between elementary students’ reported use of self-regulatory strategies in mathematics and their motivational and affective determinants. Participants of the study were 344 fifth- and sixth-grade Greek students. Students were asked to complete self-reported measures regarding the strategies they use to self-regulate mathematics learning, their achievement goals in relation to mathematics, their self-efficacy concerning mathematics learning and achievement, the value they attribute to mathematics as a subject domain and their enjoyment of mathematics learning. Structural equation modelling confirmed a mediation model, that is, students’ mathematics self-efficacy, value beliefs about mathematics and enjoyment mediated the effects of achievement goals on reported strategy use. Results are discussed in terms of implications for elementary students’ self-regulated learning skills.  相似文献   

7.
The aims of this study are to: (a) assess if cognitive self-concept (competence) and affective self-concept in mathematics and science are different constructs, (b) evaluate the construct validity of self-concept in the context of conflation and separation, and (c) test if the relationships among cognitive and affective variables are invariant across gender. The data for this study were obtained from the Trends in International Mathematics and Science Study 2007 database. Data about 2,687 out of 4,099 eighth grade Saudi students were subject to various analyses. The variables used in this study were mathematics and science self-concepts, and mathematics and science subject value as part of the Students Background Questionnaire. The relationships among constructs were examined with the use of SPSS16 and the structural equation modeling software, AMOS16. The results demonstrated that subject value and self-concept were different constructs. Also, the results demonstrated that cognitive and affective self-concepts were independent, but strongly related constructs, and the structure of the construct was clearer when self-concept was separated into cognitive and affective components than when it was conflated. The relationships among cognitive, affective, and subject value in mathematics and science were invariant across gender. However, their relationships with achievement were not invariant across gender.  相似文献   

8.
Abstract

South Africa finds itself with skills shortages in scientifically oriented professions. A major contributor to this has been students’ failure in mathematics. This study set out to identify students who self-reported mathematics anxiety and determine if this was a factor in their studies. Participants were 204 mathematics first-year students registered for degrees in Engineering, Information Technology, and Natural Science. Included in this group were Foundation Year students. Results indicated that the majority of students admitted to higher levels of anxiety. With respect to the different degree programmes, chemistry students reported higher anxiety. Specifically, a negative association was established between performance and mathematics evaluation anxiety. It is concluded that lecturers through investigations such as this can identify and isolate highly anxious mathematics students. Such students may receive remedial psychological help or at least, lecturers may revise their presentation methods to suit these particular students. The study also concluded that there are underlying problems within the teaching and learning of mathematics among the study sample. As is typical of this type of investigation, a number of questions remain unanswered such as what the sources of students’ mathematics anxiety are and how these relate to the variables investigated here. A follow-up study will focus more closely on these issues.  相似文献   

9.
This study investigated differences between the US and Finland in terms of how students’ attitude is related to mathematical reasoning skills through the Trends in International Mathematics and Science Study (TIMSS) 2011. Attitude towards mathematics was observed via 3 TIMSS contextual variables: liking mathematics, valuing mathematics, and confidence in mathematics. Scores for mathematical reasoning were collected from the TIMSS 2011 database. We used hierarchical linear modelling to construct multilevel models with interactions of the attitude variables. Findings showed that confidence in mathematics had the strongest positive relationships with mathematical reasoning in both countries. Finnish students generally reported stronger positive relationships between confidence in mathematics and reasoning than US students. Strong relationships between confidence and reasoning remained visible when examining valuing and liking mathematics. Findings provide important implications regarding the complex interactions between attitude towards mathematics and reasoning, critical for mathematics educators and policymakers to consider in an increasingly competitive international environment.  相似文献   

10.
This study investigated curriculum influences on student mathematics achievement by following two groups of students from fifth to sixth grade that were taught either the reformed curriculum or the conventional curriculum. Analyses with three-level modeling were conducted to examine learning outcomes of the students who were assessed three times over a period of 18 months. Achievement was measured with regard to computation, routine problem solving, and complex problem solving. Affective aspects included self-reported interest in learning mathematics, classroom participation, views of the nature of mathematics, and views of learning mathematics. The results showed overall improved performance among all the students over the time on computation, routine problem solving, and complex problem solving but not on the affective measures. There were differentiated patterns of performance between the groups. On the initial assessment, the reform group performed better than the non-reform group on calculation, complex problem solving, and indicated higher interest in learning mathematics. The two groups did not differ on the other achievement and affective measures at the first time of assessment. There was no significant difference in growth rate between the groups on the cognitive and affective measures except that the non-reform group progressed at a faster pace on calculation. Therefore, the non-reform group outperformed the reform group on computation at the third (last) assessment. These results are discussed with respect to the possible influence of the curriculum on student learning.  相似文献   

11.
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12.
Separate tests of mathematics skills, proportions and translations between words, and mathematical expression given the first week of class were correlated with performance for students who completed a college physics course (completes) and students who dropped the course (drops). None of the measures used discriminated between completes and drops as groups. However, the correlations between score on the test of math skills and on both of the measures involving mathematical reasoning (proportions, and translations) were dramatically different for the two groups. For the completes, these correlations were slightly negative, but not significant. For the drops, the correlation was positive and signficant at the p < 0.01 level. This suggests the possibility that the students who complete the course tend to have independent cognitive skills for the “mechanical” mathematical operations and for questions requiring some degree of reasoning, while, in contrast, the same skills for students at high risk for dropping overlap significantly. The study also found that when students are given the results of mathematics skills tests in a diagnostic mode, with feedback on specific areas of weakness and time to remediate with self study, the correlation between mathematics and physics is lower than previously reported values.  相似文献   

13.
This study tested the mediating role of self‐directed learning skills (SDL) between students’ conceptions of mathematics and their achievement in mathematics using a structural equation model. Data were collected using the “Conceptions of Mathematics Questionnaire” and the “Self‐Rating Scale of Self‐Directed Learning”, together with students’ achievement in mathematics. A sample of 440 first year university students at King Saud University participated in the study. The findings confirm the moderating role of students’ self‐directed learning skills between their conceptions of mathematics and their achievement in mathematics. Students who have a highly fragmented conception of mathematics tended to have low SDL skills, and in turn low mathematics achievement (partial mediation), whereas students who have a highly cohesive conception of mathematics tended to have high self‐directed learning skills, and in turn high mathematics achievement (full mediation). Mathematics educators should be aware that students’ conceptions of mathematics may be influential, but not sufficient to predict achievement in mathematics. Equipping students with appropriate conceptions of mathematics and self‐directed learning skills is key to enhancing their performance in mathematics.  相似文献   

14.
Abstract

The authors used data from the Longitudinal Study of American Youth to investigate variables related to change in students' attitude toward and beliefs about mathematics in middle school and high school. Using hierarchical linear modeling techniques, the authors modeled variation in students' rate of change with variables associated with student characteristics, instructional experiences, and environment. They also identified variables that differentially affect change at different levels of secondary school (i.e., middle school vs. high school) and for different affective dimensions (i.e., attitude toward mathematics, beliefs about the social importance of mathematics, and beliefs about the nature of mathematics). Results showed a substantial negative change in students' attitudes toward and beliefs about the social importance of mathematics throughout secondary school. However, students' notions of the nature of mathematics did not change throughout secondary school. The authors identified variables related to change and found that they differed according to the level of secondary school and affective dimensions.  相似文献   

15.
《教育实用测度》2013,26(2):121-141
The borderline-group method and the contrasting-groups method were compared with Nedelsky's method at four schools, with Angoff's method at another four schools, and with each other at all eight schools, using tests of basic skills in reading and mathematics. The borderline-group and contrastinggroups methods produced similar results when approximately equal numbers of students were classified as masters and nonmasters. The contrasting-groups passing score was lower than the borderline-group passing score when masters greatly outnumbered nonmasters and higher when nonmasters outnumbered masters. Results involving the Nedelsky and Angoff methods were not consistent across schools. Passing scores tended to be higher at schools where students were more able.  相似文献   

16.
Prior studies have shown that the variables described in the Opportunity–Propensity (O–P) Framework have successfully accounted for the mathematics and science achievement of students in grades 1–3 and 8–12. The two goals of the present study were to (1) determine whether the O–P Framework could also account for individual differences in the early mathematics skills of low-income, pre-kindergarten children and (2) determine whether latent variables constructed from measured variables would account for performance in the manner specified in the O–P model. The O–P Framework assumes that high achievement in mathematics is a function of three categories of factors: (a) antecedent factors, variables that operate early in a child’s life and explain the emergence of opportunities and propensities, (b) opportunity factors, variables that measure a child’s opportunity to learn mathematics content at home and school, and (c) propensity factors, variables that capture a child’s propensity for learning in terms of self-regulation, motivation, and prior cognitive skills. To test the fit of this model for low-income children during the year before they attend kindergarten, the authors conducted a secondary analysis of achievement and background data from the Early Childhood Longitudinal Study-Birth (ECLS-B) Cohort data set. Structural equation modeling indicated significant associations between the antecedent factor, opportunity factor, and propensity factor, and between the opportunity factor and pre-kindergarten mathematics achievement. The results confirmed the fit of the model and identified the kinds of learning experiences that could promote the acquisition of mathematics skills in low-income children and improve their readiness to learn in first grade and beyond.  相似文献   

17.
The purpose of this study was to compare the motivational determinants of students at risk of language difficulties (in reading and spelling) and students with high language skills. Teachers' evaluations in language and mathematics at the end of the academic year constituted the dependent variable. Motivational orientations were examined using the constructs that reflect the theory of planned behavior and goal importance. Participants were 202 elementary school students-22 at risk of language difficulties and 180 with high language skills-drawn from 30 elementary schools in northern Greece. The results indicated that the two groups differed significantly, with the at-risk students exhibiting significantly lower perceptions of goal importance, intention to achieve, belief strength, outcome evaluation, and normative beliefs, and eventually scoring lower in language and mathematics at the end of the academic year. A finer analysis of students' motivational orientations was conducted using covariance structural modeling (CSM) and EQS 5.7b. The planned behavior model with goal importance produced a comparative fit index (CFI) of 1.00 in language and mathematics for the at-risk group. The respective CFIs for the high language skills group were .97 and 1.00 in language and mathematics, respectively. Although model fit was excellent across samples, different weights and signs linking motivational orientations to achievement partly explained the observed differences in language and mathematics manifested in the two groups.  相似文献   

18.
Students’ affective domain has been popular in the mathematics education community in an ongoing attempt to understand students’ learning behavior. Specifically, enhancing students’ motivation in the mathematics classroom is an important issue for teachers and researchers, due to its relation to students’ behavior and achievement. This paper utilized achievement goal theory—an important theoretical prospect on students’ motivation in school settings—to investigate the existence of a model presenting the relation between motivation and other affective constructs and students’ performance in mathematics. In this regard, two types of tests were administered to 321 sixth grade students measuring their motivation and other affective constructs and their performance in mathematics. Using structural equation modeling, we examined the associations among the affective constructs, motivation, and the extent to which these constructs influence students’ performance and interest in mathematics. The data revealed that students’ performance and their interest in mathematics were influenced by fear of failure, self-efficacy beliefs, and achievement goals. We discuss these findings in terms of teaching implications in the mathematics classroom.  相似文献   

19.
This study investigated the impact of cognitive strategy instruction (CSI) on mathematical word problem solving of students with mathematics disabilities. A sample of fourth-grade students in a Chinese primary school was divided into a treatment group (75 students) and a comparison group (75 students). The sample consisted of students with mathematics disabilities only, students with both mathematics and reading disabilities, as well as average- and high-achieving students. Results showed that students at all ability levels (except high-achieving students) in the treatment group outperformed significantly their counterparts in the comparison group; the intervention effect was stronger for students with mathematics disabilities only than for those with both mathematics and reading disabilities. The present study indicates that CSI is a contextually and pedagogically appropriate model that has a strong potential to improve mathematical word problem solving.  相似文献   

20.
Educators are increasingly recognising the importance of improving students’ mathematics achievement. Much of the current research focuses on the impact of instructional variables on mathematics achievement. The goal of this study was to examine the influence of less researched variables – family and student factors. Participants were 747 economically disadvantaged elementary students grades K-8 in Ohio. Predictor variables included: (a) 13 factors from a parent survey on both child and family circumstances and (b) reading achievement, measured by a norm-referenced achievement test. Outcome variables included three mathematics scales from the same achievement test. Regression analyses examined the impact of the predictors on the outcomes. Reading achievement significantly predicted mathematics achievement for all three outcomes. Parent pessimism and parent-perceived school/cognitive competence of children also emerged as significant predictors for two of the three mathematics outcomes. Implications for research, policy and practice will be shared.  相似文献   

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