Student Motivation and Learning in Mathematics and Science: A Cluster Analysis

The present study focused on an in-depth understanding of student motivation and self-regulated learning in mathematics and science through cluster analysis. It examined the different learning profiles of motivational beliefs and self-regulatory strategies in relation to perceived teacher autonomy support, basic psychological needs (i.e. autonomy, competence, and relatedness), motivational regulations, and academic achievement. Grounded in self-determination theory, this study examined the learning profiles of 782 students from eight secondary schools in Singapore. The cluster analyzes revealed four distinct learning profiles, and they were compared in association with perceived teacher autonomy support, needs satisfaction, motivational regulations, and grades. Cluster profiling enables teachers to have better understanding of their students’ self-regulated learning so that they can apply effective teaching strategies to foster their motivation. The findings offer a perspective to secondary students’ psychological needs along with some insights into their perceived task value and self-efficacy in the contexts of mathematics and science.     

The relationships between the motivational beliefs,course experiences and achievement among postgraduate students in Pakistan

While there is considerable literature concerning the relationship between student motivation and achievement, few studies have examined the relationship between student motivation, course experiences and academic achievement at the postgraduate level. This paper is based on the findings of the initial correlation analysis of the relationship between motivational beliefs and course experiences of 368 postgraduate students in five different subject areas enrolled in day and afternoon classes at a highly-ranked public university in Pakistan. A questionnaire was developed using scales from the Motivated Strategies for Learning Questionnaire and the Course Experiences Questionnaire to measure the motivational beliefs and course experiences of students. Academic achievement was measured using the achievement score in the courses in which the data were collected. The results of the study indicated that students' achievement scores were positively correlated with their self-efficacy for learning and negatively correlated with test anxiety, whereas the course-experience factor learning community was significantly correlated with achievement scores. Significant correlations were also found among almost all motivational beliefs and course experience factors.     

Teacher interpersonal behavior and adolescents’ motivation in mathematics: A comparison of learning disabled,average, and talented students

This study examined student perceptions of teacher behavior in three motivational variables (self-efficacy beliefs, intrinsic value, and test anxiety in mathematics) for adolescents enrolled in three distinct schooling tracks. Questionnaires were administered to 111 learning disabled (LD), 224 average (AV) and 258 talented students (TA). Some differences among groups were found on students’ perceptions of teacher behavior as measured by the Questionnaire on Teacher Interaction, and on motivational beliefs assessed by the Motivated Strategies for Learning Questionnaire. Overall, the results show that perceptions of teacher proximity and influence have implications for AV and TA motivation, but are not significant in students with learning disabilities. The findings are discussed with special attention given to LD and TA.     

Examining Hong Kong students’ motivational beliefs,strategy use and their relations with two relational factors in classrooms

This study examines Hong Kong students’ motivational beliefs, strategy use and their relations with two relational factors in classrooms – student learning community and teacher support and involvement. A total of 2206 Grade Four to Grade Nine students responded to a questionnaire that comprised three instruments, including two scales measuring student learning community and teacher support and involvement in classroom, respectively, and the Chinese version of the Motivated Strategy for Learning Questionnaire. Our findings suggest that the two relational factors could play an important role in facilitating students’ intrinsic value, self‐efficacy, and strategy use, reflecting some culture‐specific features of students’ self‐regulated learning in Hong Kong classrooms. The implications of these findings for understanding Hong Kong students’ motivational beliefs and strategy use are discussed. Finally, suggestions for future research are put forward.     

Alignment, cohesion, and change: Examining mathematics teachers’ belief structures and their influence on instructional practices

This collective case study reports on an investigation into the relationship between mathematics teachers’ beliefs and their classroom practices, namely, how they organized their classroom activities, interacted with their students, and assessed their students’ learning. Additionally, the study examined the pervasiveness of their beliefs in the face of efforts to incorporate reform-oriented classroom materials and instructional strategies. The participants were five high school teachers of ninth-grade algebra at different stages in their teaching career. The qualitative analysis of the data revealed that in general beliefs were very influential on the teachers’ daily pedagogical decisions and that their beliefs about the nature of mathematics served as a primary source of their beliefs about pedagogy and student learning. Findings from the analysis concur with previous studies in this area that reveal a clear relationship between these constructs. In addition, the results provide useful insights for the mathematics education community as it shows the diversity among the inservice teachers’ beliefs (presented as hypothesized belief models), the role and influence of beliefs about the nature of mathematics on the belief structure and how the teachers designed their instructional practices to reflect these beliefs. The article concludes with a discussion of implications of teacher education.     

Language Development of Children in Two Types of Rural Environments

The aim of this study was to examine the role of motivational beliefs in mediating the relationship among perceived teacher support, learning strategy use, and student achievement. The author analyzed the Programme for International Student Assessment mathematics scores and questionnaire responses of 4,855 15-year-old students in Turkey via multilevel analysis. Results indicated that perceived teacher support was positively related to learning strategy use in mathematics and that this relation was mediated through math self-efficacy, anxiety, intrinsic value, and instrumental value. Math self-efficacy and anxiety were, in turn, correlated with Programme for International Student Assessment mathematics achievement. In addition, the author found between-school SES differences to be strong predictors of math self-efficacy, anxiety, and achievement. Findings and directions for future research are discussed.     

Stimulating positive emotional experiences in mathematics learning: influence of situational and personal factors

The study aims to assess the relative importance of a large number of variables for predicting students’ positive-activating emotions during mathematics learning. Participants were 668 first-year upper secondary school students from 33 schools of different sizes and locations. Two questionnaires were distributed, one assessing students’ perceptions and beliefs about their learning situation in mathematics in general, and the other assessing the characteristics of a particular mathematics lesson and the students’ emotional experiences during this lesson. Single-construct and multivariate models for predicting students’ emotions were computed. The results show that the multivariate models were the most efficient, predicting as much as 59 % of the variance in students’ emotional experiences. The two most important constructs were students’ type of motivation and perceived degree of learning, which together predicted 48 % of the students’ emotions. Single-construct models predicted, at most, 36 %. The relative and absolute predictive ability of different motivational constructs are reported. The relationships between constructs and their implications for teaching are discussed.     

Student perceptions of the classroom environment: Relations to motivation and achievement in mathematics

This study examined the relationship of 979 middle school students’ perceptions of their mathematics classroom environment to their motivation and achievement. Structural equation modeling indicated that motivational variables (utility, personal achievement goals, efficacy) mediated the influence of perceived teacher expectations, teacher support and use of reform practices on mathematics standardised test scores. Our study provides empirical evidence that students’ perceptions that their teachers believe that they are capable of learning and understanding mathematics positively relate to their Mastery and Performance Goal orientations and mathematics Utility. Further, we found an interaction between students’ perceptions of the frequency of reform practice use in their mathematics classroom and mathematics efficacy. For students with lower mathematics efficacy, their perceptions of more frequent use of reform practices in their mathematics class related to higher standardised test performance. For students with higher mathematics efficacy, perceived use of reform practices did not significantly relate to standardised test performance. These data suggest that frequent exposure to reform practices is especially critical for students who judge themselves as being less capable in mathematics and who are lower performers. This finding differs from prior research that has suggested that reform practice use benefits higher achievers but not lower achievers. An important implication of our study is the need for coordinated, ongoing professional development that highlights reform pedagogy and beliefs while also focusing on student motivation theories and strategies.     

Towards a theory of mathematics homework as a social practice

This article presents a theoretical conceptualization of mathematics homework as a social practice. Rather than considering homework as a task or an artifact, this approach frames homework in terms of the social contexts in which students participate and how students participate in those contexts. This perspective has long been suggested by homework researchers but has not been developed as a framework for understanding homework. Drawing from Wenger’s (1998) social theory of learning and research grounded in sociocultural theory, this conceptualization makes central meaning making and identity development, and puts forth meaning and identity as lenses for understanding students’ participation in the practice of mathematics homework. To further develop this conceptualization of homework, I draw on data from an ethnographic study of the role and meaning of mathematics homework in the lives of middle school students. Case studies of two students are presented to demonstrate the relationships among the meaning of homework, students’ identities, and their participation in the practice of homework. One student’s experiences support him in identifying as a capable mathematics student who is bound for continued academic success through high school to college. Thus, he comes to take on mathematics homework as a means to learn and succeed. The other student’s experiences support him in building an identity that leads him to reject homework. This conceptualization of homework and the case study data have implications for the practice of homework and for theories of students’ motivational dispositions in the context of mathematics homework and learning in general.     

Motivational and affective determinants of self-regulatory strategy use in elementary school mathematics

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.     

Goal importance and students at risk of having language difficulties: an underexplored aspect of student motivation

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.     

Motivational beliefs and cognitive processes in mathematics achievement, analyzed in the context of cultural differences: a Korean elementary school example

The relations among students’ motivational beliefs, cognitive processes, and academic achievement were investigated. A 51-item questionnaire together with a mathematics achievement test was administered to 459 fifth graders in Korean elementary school mathematics classrooms. Results indicated that, in general, students’ cognitive processes related closely to competence beliefs, task values, and achievement goals, and more importantly their success or failure in mathematics achievement was closely linked to competence beliefs, performance-avoidance goals, and persistence strategies. Positive evidence of performance-approach goals was observed in math learning relative to task goals. As expected, performance-avoidance goals turned out to be detrimental to students’ math learning. These findings are generally congruent with the motivational theories and support the position that students should be encouraged to adopt task goals and actively involve themselves in math class activities. However, it also behooves us to recognize the potential benefits of performance-approach goals in different cultural contexts, such as the Korean elementary school math classrooms.     

Uncovering vocational students’ multiple goal profiles in the learning of professional mathematics: differences in learning strategies,motivational beliefs and cognitive abilities

Motivation to learn in vocational education is underexplored by researchers in educational psychology. Yet, teachers would profit from an understanding of the goals apprentices adopt for their learning and how these goals relate to students’ learning strategies and abilities. Using latent profile analysis, four groups were identified based on the achievement goals of 263 vocational students in their professional mathematics courses. Groups were described regarding their cognitive abilities, learning strategies and motivational beliefs. Results indicated that the inclusion of challenge-mastery and work-avoidance goals adds value to previous conceptualizations of multiple goal profiles. Significant and large differences between the profiles were found with regard to such motivational beliefs as individual interest and significant, albeit smaller, differences were found for learning strategies and cognitive abilities. The results suggest that vocational students may adopt four specific combinations of goals and that these are associated with several variables important for successful learning. Implications of the findings for vocational education are discussed.     

MOTIVATIONAL BELIEFS AND LEARNING STRATEGIES IN ORGANIC CHEMISTRY

Students enter college chemistry courses with different sources of motivation, appropriate or inappropriate assumptions about their probability of success and how to study. This study is theoretically aligned with self-regulated learning research. Clearly, academic performance is closely related to student motivational beliefs and learning strategies. This study investigated the motivational beliefs and learning strategies of 2 years of college students in the second semester of organic chemistry. Responses to the Motivational Beliefs and Learning Strategies Questionnaire indicated that student self-efficacy was highly correlated with academic performance (semester grades). Gender differences were quite pronounced. Male academic performance was associated with intrinsic motivation as well as the importance placed on the learning task. Test anxiety was negatively associated with male grades. Extrinsic motivation was negatively correlated with female grades. Responses to students’ sense of control over learning, the value of the learning task, and self-efficacy were significantly higher for males compared to females. Faculty who attend to these different patterns may influence beliefs as well as learning strategies. Correcting erroneous assumptions about how to learn chemistry may help students shift both their attitudes and their learning practices. The notable gender difference suggests that female chemistry students may especially profit from focused faculty intervention.     

Students’ motivational beliefs in science learning,school motivational contexts,and science achievement in Taiwan

ABSTRACT

Taiwanese students are featured as having high academic achievement but low motivational beliefs according to the serial results of the Trends in Mathematics and Science Study (TIMSS). Moreover, given that the role of context has become more important in the development of academic motivation theory, this study aimed to examine the relationship between motivational beliefs and science achievement at both the student and school levels. Based on the Expectancy-Value Theory, the three motivational beliefs, namely self-concept, intrinsic value, and utility value, were the focuses of this study. The two-level hierarchical linear model was used to analyse the Taiwanese TIMSS 2011 eighth-grade student data. The results indicated that each motivational belief had a positive predictive effect on science achievement. Additionally, a positive school contextual effect of self-concept on science achievement was identified. Furthermore, school-mean utility value had a negative moderating effect on the relationship between utility value and science achievement. In conclusion, this study sheds light on the functioning of motivational beliefs in science learning among Taiwanese adolescents with consideration of the school motivational contexts.     

Teachers’ assessment practices in mathematics: classrooms in the context of reform

This article responds to calls that have been made for research into how teachers incorporate new assessment ideas into their practice. We draw on a large‐scale study that examined the implementation of reform in mathematics in grades 7–10 in Ontario, Canada. We present teacher questionnaire data, and focus on data gathered from case studies for details of what new assessment practices look like in classrooms. We show teachers using a variety of forms of assessment and using assessment to improve student learning. Observed assessment practices went beyond tests to include the use of journals, observation, questioning, self‐assessment and unique forms of ‘quizzes’. These practices allowed teachers to examine students’ mathematical thinking and provided feedback to students and teachers to improve student learning. We also observed the important role of collaboration, coherence, and the teachers’ beliefs in supporting new assessment practices.     

The effects of an active learning intervention in biology on college students’ classroom motivational climate perceptions,motivation, and achievement

This study examined differences in students’ classroom motivational climate perceptions and motivational beliefs between those enrolled in undergraduate Biology courses that implemented an innovative, active learning intervention and those enrolled in traditional Biology courses (control group). This study also sought to determine whether students’ classroom motivational climate perceptions and motivational beliefs mediated the effect of the intervention on course grades. Participants were 962 college students attending a large US public university. Students self-selected into one of the biology courses were randomly assigned to the intervention or control group. Multiple regression analyses indicated that students receiving the intervention reported greater instructor support, a perception of higher expectations for understanding (academic press), and a greater feeling that the course was interesting (situational interest). They also held higher self-efficacy and value for their biology course at completion compared to their counterparts in traditional biology classrooms. Moreover, mediation analyses indicated that the effect of the intervention on course grades was better explained through students’ classroom motivational climate perceptions and motivational beliefs. Results gained from this intervention may be useful to other campuses interested in enhancing student motivation and success even when faced with large enrolments and minimal faculty and staff support.     

Teacher self-efficacy,instructional quality,and student motivational beliefs: An analysis using multilevel structural equation modeling

Teacher self-efficacy (TSE) is one of the most salient motivational characteristics that is assumed to affect teachers’ instructional quality and student motivational beliefs. However, discussions of these associations have primarily been often primarily conceptual and/or based on empirical research that has suffered from methodological shortcomings. Therefore, the aim of this study was to examine the relationships between TSE, instructional quality (i.e., classroom management, cognitive activation, and supportive climate) and student motivational beliefs (i.e., self-efficacy and intrinsic motivation) by using responses from both teachers and students and implementing a sophisticated doubly latent multilevel structural equation modeling approach. A total of 94 high school teachers and their 2087 students participated in the study. The results demonstrated that, at the class level, TSE was positively related to the three dimensions of instructional quality but not to student motivational beliefs. As expected, instructional quality was positively related to student motivational beliefs.     

数学教师信念与学生数学信念系统对学生数学学习兴趣影响的路径研究

运用路径分析方法探讨中学数学教师信念与学生数学信念系统对学生数学学习兴趣的影响,通过实证研究与分析,得出一系列结论。     

A case study of a formative assessment practice and the effects on students’ self-regulated learning

The study investigates one mathematics teacher’s implementation of formative assessment and its effects on students’ self-regulated learning (SRL). A questionnaire administered before and after the eight-month long intervention shows a significant effect, compared to two control classes, on students’ motivational beliefs involved in SRL. Qualitative data shows a notable enhancement of the students’ SRL behavior in the classroom. Analysis of the teacher’s implemented formative assessment shows a practice integrating several aspects of formative assessment, and provides empirical evidence of what formative assessment with large effects on students’ SRL may look like and how it fits with models of SRL development.