“How do you feel about math?”: relationships between competence and value appraisals,achievement emotions and academic achievement

This study analyzes the relationships between cognitive appraisals, classroom and test emotions, and math achievement in a sample of 1219 Portuguese students from the 6th and 8th grades. Participants completed measures of perceived value, perceived competence, and seven math achievement emotions (boredom, hopelessness, anger, anxiety, enjoyment, pride, and relief) experienced in two different settings: classroom and tests. Math achievement was obtained from school records. Results showed significant associations between student competence and value appraisals, their emotional experiences in test and classroom situations, and their math achievement. However, when emotions were considered simultaneously in structural equation modeling, only anger in test situations and hopelessness were significant negative predictors of students’ math achievement. Hopelessness appears to play a particular role in the interplay between cognitive appraisals, emotions, and academic achievement as it is the only emotion that relates to math achievement both in test and classroom situations. Furthermore, findings also support the existence of differences in the relationships between cognitive appraisals and the achievement emotions students experience in these two settings.     

High self-control predicts more positive emotions, better engagement, and higher achievement in school

The control-value theory of academic emotions has emerged as a useful framework for studying the antecedents and consequences of different emotions in school. This framework focuses on the role of control-related and value-related appraisals as proximal antecedents of emotions. In this study, we take an individual differences approach to examine academic emotions and investigate how trait self-control is related to students’ experience of academic emotions. We posited a model wherein trait self-control predicted academic emotions which in turn predicted engagement and perceived academic achievement. Filipino university students answered relevant questionnaires. Results indicated that self-control positively predicted positive academic emotions (enjoyment, hope, and pride) and negatively predicted negative emotions (anger, anxiety, shame, hopelessness, and boredom). Academic emotions, in turn, had a significant impact on engagement, disaffection, and perceived achievement. Implications for exploring synergies between research on trait self-control and the control-value theory of academic emotions are discussed.     

Achievement Emotions and Academic Performance: Longitudinal Models of Reciprocal Effects

A reciprocal effects model linking emotion and achievement over time is proposed. The model was tested using five annual waves of the Project for the Analysis of Learning and Achievement in Mathematics (PALMA) longitudinal study, which investigated adolescents’ development in mathematics (Grades 5–9; N = 3,425 German students; mean starting age = 11.7 years; representative sample). Structural equation modeling showed that positive emotions (enjoyment, pride) positively predicted subsequent achievement (math end‐of‐the‐year grades and test scores), and that achievement positively predicted these emotions, controlling for students’ gender, intelligence, and family socioeconomic status. Negative emotions (anger, anxiety, shame, boredom, hopelessness) negatively predicted achievement, and achievement negatively predicted these emotions. The findings were robust across waves, achievement indicators, and school tracks, highlighting the importance of emotions for students’ achievement and of achievement for the development of emotions.     

The roles of teacher–student relationship quality and self-concept of ability in adolescents’ achievement emotions: temperament as a moderator

This study examined to what extent teacher–student conflict and closeness, on the one hand, and students’ self-concepts of ability in literacy and mathematics, on the other, are related to students’ achievement emotions (enjoyment, anxiety and boredom) in mathematics and literacy among Finnish early adolescents (N = 854). We also investigated the extent to which these associations are moderated by student temperament (surgency/extraversion, negative affectivity and effortful control). The results showed, after accounting for relevant covariates, that in both school subjects, teacher–student conflict was negatively related to enjoyment and positively to anxiety and boredom, whereas teacher–student closeness was positively related to enjoyment and negatively to boredom. Self-concepts of ability in both school subjects were positively related to enjoyment and negatively to anxiety, whereas the self-concept of ability was only negatively related to boredom in mathematics. Student temperament also moderated some of the associations in the literacy domain. Lower levels of conflict in the teacher–student relationship were related to higher levels of enjoyment in literacy, particularly among students who had lower levels of surgency/extraversion. Also, a closer relationship with the teacher or a lower self-concept of ability in literacy was related to higher levels of anxiety, particularly among students who had low effortful control. In the mathematics domain, the associations between the self-concept of ability and achievement emotions were somewhat stronger than in literacy, and the domain-specific associations were not dependent on student temperament.

     

The Impact of Emotions on Student Achievement in Synchronous Hybrid Business and Public Administration Programs: A Longitudinal Test of Control‐Value Theory*

Synchronous hybrid delivery (simultaneously teaching on‐campus and online students using Web conferencing) is becoming more common in higher education. However, little is known about students’ emotions in these environments. Although often overlooked, emotions are fundamental antecedents of success. This study longitudinally examined the role of students’ emotions (enjoyment, anxiety, and boredom), perceptions of control, value, and success in synchronous hybrid learning environments. In particular, the investigation assessed students’ self‐reported enjoyment, anxiety, and boredom as predictors of their program achievement and successful technology use. Students were recruited from synchronous hybrid MBA and MPA programs. Control‐value theory of emotions was used as the theoretical framework. Paired samples t‐tests revealed that the achievement domain, compared to the technology domain, yielded higher mean scores for control, value, enjoyment, anxiety, and boredom. In addition, mixed ANOVAs indicated an interaction effect in which group means for program boredom were significantly higher for on‐campus students than for online students. Intercorrelations in each domain showed that perceived success was positively related to enjoyment and negatively related to anxiety and boredom. Technology‐related anxiety was also found to fully mediate the positive effect of control on perceived success in using technology.     

Enjoyment,Boredom, Anxiety in Elementary Schools in Two Domains: Relations With Achievement

This study investigated the enjoyment, boredom, and anxiety of elementary school students and the relations of these emotions with achievement in two domains. Seven-hundred-and-sixty-seven second- and fourth-graders completed an adaptation of the Achievement Emotions Questionnaire-Elementary School (AEQ-ES: Lichtenfeld, Pekrun, Stupnisky, Reiss, & Murayama, 2012) assessing their emotions in their native language and mathematics. The hierarchical model of the instrument was invariant across countries (Italy, Germany, United States), grades, gender, and domains. Anxiety related negatively to achievement, while enjoyment related positively to achievement only in mathematics. Second-graders reported more enjoyment and less boredom and anxiety than fourth-graders. Overall, mathematics resulted in better emotions than native language. The results have implications for future research on achievement emotions in elementary school.     

Control-value appraisals,achievement emotions,and foreign language performance: A latent interaction analysis

Based on control-value theory (CVT), this study (N = 550 Chinese university students) examined relations between control-value appraisals, subsequent achievement emotions, and resulting performance in foreign language (FL) learning. The results show that perceived control and value related positively to positive emotions (enjoyment, hope, pride) and FL performance, and negatively to negative emotions (anger, anxiety, shame, hopelessness, boredom). Control and value interacted in predicting all eight emotions and FL performance. The multiplicative impact of the appraisals on performance was mediated by four of the focal emotions. These findings elucidate the impact of appraisals and emotions on achievement and support the generalizability of CVT to foreign language learning. Directions for future research and implications for education are discussed.     

Student learning emotions in middle school mathematics classrooms: investigating associations with dialogic instructional practices

Emotions are central to how students experience mathematics, yet we know little about how specific instructional practices relate to students’ emotions in mathematics learning. We examined how dialogic instruction, a socially dynamic form of instruction, was associated with four learning emotions in mathematics: enjoyment, pride, anger, and boredom. We also examined whether these associations differed by student gender and prior mathematics achievement. The sample consisted of 1307 sixth through eighth grade students (51.6% female, 59.0% White, 30.8% African American, and 10.3% other race; 42.3% receive free/reduced price lunch) from 70 mathematics classrooms. Results indicated that teachers who used more dialogic mathematics instruction had students who reported more enjoyment and pride, and less anger and boredom. Males and low-achieving students reported more positive and fewer negative emotions with greater dialogic instruction compared to their female and high-achieving counterparts.     

Problem-Based Learning is Compatible with Human Cognitive Architecture: Commentary on Kirschner,Sweller, and Clark (2006)

Academic emotions have largely been neglected by educational psychology, with the exception of test anxiety. In 5 qualitative studies, it was found that students experience a rich diversity of emotions in academic settings. Anxiety was reported most often, but overall, positive emotions were described no less frequently than negative emotions. Based on the studies in this article, taxonomies of different academic emotions and a self-report instrument measuring students' enjoyment, hope, pride, relief, anger, anxiety, shame, hopelessness, and boredom (Academic Emotions Questionnaire [AEQ]) were developed. Using the AEQ, assumptions of a cognitive-motivational model of the achievement effects of emotions, and of a control/value theory of their antecedents (Pekrun, 1992b, 2000), were tested in 7 cross-sectional, 3 longitudinal, and 1 diary study using samples of university and school students. Results showed that academic emotions are significantly related to students' motivation, learning strategies, cognitive resources, self-regulation, and academic achievement, as well as to personality and classroom antecedents. The findings indicate that affective research in educational psychology should acknowledge emotional diversity in academic settings by addressing the full range of emotions experienced by students at school and university.     

Students' emotions during homework: Structures,self-concept antecedents,and achievement outcomes

In the present study (N = 553; 8th and 11th grade students; 52% female) we investigated students' enjoyment, pride, anxiety, anger, and boredom while completing homework (homework emotions), and contrasted these emotions with those experienced during class (classroom emotions). Both homework emotions and classroom emotions were assessed separately for the domains of mathematics, physics, German, and English. Our hypotheses were based on propositions of the control-value theory of achievement emotions (Pekrun, 2006), Marsh and Ayotte's (2003) differential distinctiveness hypothesis, and previous empirical findings. In line with our assumptions, observed correlations between homework emotions and classroom emotions suggested that the emotions experienced in the two settings should be assessed separately. Within domains, both homework emotions and classroom emotions showed clear linkages with students' academic self-concept and achievement outcomes, with self-concept being slightly more strongly related to classroom emotions. Between-domain relations of emotions were significantly stronger for homework emotions as compared to classroom emotions, likely due to the relative situational homogeneity of homework settings across domains. Further, between-domain relations for emotions in both settings were weaker in 11th grade students, whereas within-domain relations did not differ as a function of age. Implications for research and educational practice are discussed.     

Girls and mathematics —A “hopeless” issue? A control-value approach to gender differences in emotions towards mathematics

This study analyzed gender differences in achievement emotions in the domain of mathematics. Based on Pekrun’s (2000, 2006) controlvalue theory of achievement emotions, we hypothesized that there are gender differences in mathematics emotions due to the students’ different levels of control and value beliefs in mathematics, even when controlling for prior achievement. The structural relationships between prior achievement, control and value beliefs, and emotions were assumed to be invariant across girls and boys in spite of hypothesized mean level differences of beliefs and emotions across genders. The emotions and beliefs of 1,036 male and 1,017 female 5th grade students were assessed by self-report measures, and their prior mathematics achievement was assessed by academic grades. Even though girls and boys had received similar grades in mathematics, girls reported significantly less enjoyment and pride than boys, but more anxiety, hopelessness and shame. Findings suggested that the female emotional pattern was due to the girls’ low competence beliefs and domain value of mathematics, combined with their high subjective values of achievement in mathematics. Multiple-group comparisons confirmed that the structural relationships between variables were largely invariant across the genders.     

Characteristics of teaching and students’ emotions in the classroom: Investigating differences across domains

This study investigated the relations between eight characteristics of teaching and students’ academic emotions (enjoyment, pride, anxiety, anger, helplessness and boredom) across four academic domains (mathematics, physics, German, and English). 121 students (50% female; 8th and 11th graders) were asked about their perceptions of teaching characteristics and their academic emotions using the experience sampling method (real-time approach) for a period of 10 school days, with intraindividual analyses conducted using a multilevel approach. Multilevel exploratory factor analysis revealed that the eight teaching characteristics (understandability, illustration, enthusiasm, fostering attention, lack of clarity, difficulty, pace, level of expectation) represented two factors, labeled supportive presentation style (e.g., comprising understandability) and excessive lesson demands (e.g., comprising difficulty). In line with our hypothesis, we found clear relations on the intraindividual level between the two factors of teaching characteristics and students’ academic emotions in the classroom (e.g., supportive presentation style positively related to students’ enjoyment and negatively related to their boredom). Further, and supporting the universality assumption of teaching characteristics/academic emotions relations, the strength of relations between the two factors of teaching characteristics and academic emotions was very similar across the four academic domains. Implications for future research and educational practice are discussed.     

Perceived learning environment and students' emotional experiences: A multilevel analysis of mathematics classrooms

A multilevel approach was used to analyse relationships between perceived classroom environments and emotions in mathematics. Based on Pekrun's (2000) [A social-cognitive, control-value theory of achievement emotions. In J. Heckhausen (Ed.), Motivational psychology of human development (pp. 143–163)] social-cognitive, control-value theory of achievement emotions, we hypothesized that environmental characteristics conveying control and value to the students would be related to their experience of enjoyment, anxiety, anger, and boredom in mathematics. Multilevel modelling of data from 1623 students from 69 classes (grades 5–10) confirmed close relationships between environmental variables and emotional experiences that functioned predominantly at the individual level. Compositional effects further revealed that classes' aggregate environment perceptions as well as their compositions in terms of aggregate achievement and gender ratio were additionally linked to students' emotions in mathematics. Methodological and practical implications of the findings are discussed.     

Measuring emotions in students’ learning and performance: The Achievement Emotions Questionnaire (AEQ)

Aside from test anxiety scales, measurement instruments assessing students’ achievement emotions are largely lacking. This article reports on the construction, reliability, internal validity, and external validity of the Achievement Emotions Questionnaire (AEQ) which is designed to assess various achievement emotions experienced by students in academic settings. The instrument contains 24 scales measuring enjoyment, hope, pride, relief, anger, anxiety, shame, hopelessness, and boredom during class, while studying, and when taking tests and exams. Scale construction used a rational-empirical strategy based on Pekrun’s (2006) control-value theory of achievement emotions and prior exploratory research. The instrument was tested in a study using a sample of university students (N = 389). Findings indicate that the scales are reliable, internally valid as demonstrated by confirmatory factor analysis, and externally valid in terms of relationships with students’ control-value appraisals, learning, and academic performance. The results provide further support for the control-value theory and help to elucidate the structure and role of emotions in educational settings. Directions for future research and implications for educational practice are discussed.     

The role of emotions and task significance in Virtual Education

This paper analyzed the role of emotions in a virtual world (Second Life) through students' level of enjoyment and boredom and their influence on students' achievement level. The virtual world was an educational tool used to fully immerse students in the content of the course. In addition to supporting prior research on the importance of task value on academic enjoyment, the current research provides a new perspective on the relationship between academic emotions and academic success, particularly for virtual worlds. A regression analysis was conducted to measure the relationship of task value and emotions on two types of academic performance: Individual exam scores and team scores on their Second Life assignment. Pekrun's Academic Emotions Questionnaire (AEQ) was used to measure two academic emotions: boredom and enjoyment. Both academic emotions were measured on an individual level. Results from this study show that task value was positively related to enjoyment and negatively related to boredom, yet it was unrelated to academic performance. While enjoyment had a positive relationship to exam performance, boredom also had a positive relationship to the team assignment conducted in the virtual world. The possibility that students might have answered the AEQ relating to the theoretical aspects of the course instead of the practical aspects of the Second Life Assignment, may be one possible explanation for this result.     

The link between student-perceived teacher talk and student enjoyment,anxiety and discursive engagement in the classroom

This study seeks to understand the emotional connection of teachers' academically productive talk (APT) with student learning from the students' perspective. Using a sample of 2,225 students (N_{7th grade} = 1,146 and N_{8th grade} = 1,079) from 16 middle schools in a city of China, we investigate the relationship between students' perceptions of their teachers’ APT, student emotions (enjoyment and anxiety) and their discursive engagement with others in the mathematics classroom. Results from structural equation modelling and mediation analysis show that after controlling for gender, family resources and mathematics achievement, student-perceived teacher APT was positively associated with their discursive engagement with classmates. Furthermore, student enjoyment and anxiety in class mediated the relationship between student-perceived teacher APT and student discursive engagement with classmates. Multi-group analysis revealed that the model was invariant across genders and grades, indicating that the associations were applicable to male and female students as well as to seventh and eighth graders. These findings shed light on the emotional relationship of teacher APT with the discursive engagement of their students. Although prior research observes a positive relationship between teacher productive classroom talk and student discursive engagement primarily through classroom observations and teacher reflections, this study provides evidence from the students’ perspective and highlights the mediating role of student emotions in the relationship.     

The development of students’ achievement emotions after transition to secondary school: a multilevel growth curve modelling approach

This empirical study focuses on students’ development of positive and negative achievement emotions during the first year and the beginning of the second year of secondary school. Using multilevel growth curve modelling, the development of the achievement emotions enjoyment, pride, anxiety, hopelessness and boredom during class in general was investigated. Data from 584 students (taken at three different time points during the first year and the beginning of the second year of secondary school in Germany) was analysed by controlling for gender and the type of school. The results confirm the main assumption: positive achievement emotions decline, whereas negative achievement emotions increase after transition to secondary school. The assumption regarding the effects of type of school was also confirmed: students entering a higher track school (German Gymnasium) experience more positive achievement emotions than students in middle track schools (German Realschule) do. However, the decline in these achievement emotions in higher track schools is comparatively worse than for students in middle track schools. The results are discussed with regard to students’ further studies, as well as the wider educational implications.

     

How you think about your intelligence determines how you feel in school: The role of theories of intelligence on academic emotions

Research on implicit theories of intelligence and academic emotions have proceeded in parallel with little cross-over of ideas. This study aims to examine the potential synergies that may exist between these two strands of research by examining whether implicit theories of intelligence can function as a predictor of academic emotions when situated within Pekrun's (2006) control-value theory of achievement emotions. Filipino secondary school students (N = 1147) participated in the study. Hierarchical regression analyses were employed to investigate the predictive effects of implicit theories of intelligence on academic emotions after controlling for the variance accounted for by demographic variables, social environmental factors, and achievement goals which have been identified as important antecedents in previous research. Results indicated that holding an entity theory of intelligence positively predicted negative emotions such as anger, anxiety, shame, hopelessness, and boredom. However, it was not significantly related to the positive emotions of enjoyment, hope, and pride. The usefulness of these findings for integrating theorizing in the implicit theories of intelligence and academic emotions literature is discussed.     

Teachers’ self-efficacy beliefs for teaching math: Relations with teacher and student outcomes

Social cognitive theory posits that teacher self-efficacy beliefs should be related to not only their own well-being outcomes but also classroom processes and student outcomes in the general ecology of the classroom environment. However, little research has directly examined the associations of teachers’ self-efficacy beliefs with these teacher and student-level outcomes simultaneously. The present study proposes and tests an integrative model of the relations of teachers’ self-efficacy for teaching math with their job satisfaction and student math achievement both directly and indirectly via interaction quality as a critical dimension of the quality of classroom processes. Additionally, student level relational and motivational predictors of math achievement, including individual perceptions of student-teacher interaction quality and math self-concept, are included per the ecology of the classroom environment. Based on data from over 6000 4th grade students and 450 teachers, results of multilevel structural equation modeling revealed that teachers’ self-efficacy beliefs for teaching math were positively associated with teachers’ job satisfaction and class levles of math achievement and interaction quality. At the individual student level, individual levels of math self-concept were positively associated with math achievement, and individual perceptions of interaction quality were positively associated with math self-concept. However, a negative association between residualized interindividual perceptions of interaction quality and math achievement was observed.     

Reciprocal relations between adolescents’ self-concepts of ability and achievement emotions in mathematics and literacy

This longitudinal study examined cross-lagged relations of self-concepts of ability and achievement emotions (i.e., enjoyment, boredom, anxiety) in two central school subjects (i.e., mathematics and literacy). Adolescents (N = 848) reported their achievement emotions and self-concepts of ability four times during Grades 6 and 7. The pattern of results was different for mathematics and literacy subjects. For mathematics the results of random intercept cross-lagged panel models showed a positive reciprocal relationship between self-concepts of ability and enjoyment and a negative reciprocal relationship between self-concept and anxiety. Lower self-concepts of ability in mathematics also predicted higher boredom in mathematics but not vice versa. For literacy, in turn, self-concept of ability did not predict any of the achievement emotions and emotions did not predict literacy self-concept of ability. The results suggest that achievement emotions act as sources as well as consequences of adolescents’ self-concepts of ability, particularly in mathematics.