Developmental relations between mathematics anxiety, symbolic numerical magnitude processing and arithmetic skills from first to second grade.

We investigated the levels of and changes in mathematics anxiety (MA), symbolic numerical magnitude processing (SNMP) and arithmetic skills, and how those changes are linked to each other. Children's (n = 264) MA, SNMP and arithmetic skills were measured in Grade 1, and again in Grade 2, also including a mathematics performance test. All three constructs correlated significantly within each time point, and the rank-order stability over time was high, particularly in SNMP and arithmetic skills. By means of latent change score modelling, we found overall increases in SNMP and arithmetic skills over time, but not in MA. Most interestingly, changes in arithmetic skills and MA were correlated (i.e. steeper increase in arithmetic skills was linked with less steep increase in MA), as were changes in SNMP and arithmetic skills (i.e. improvement in SNMP was associated with improvement in arithmetic skills). Only the initial level of arithmetic skills and change in it predicted mathematics performance. The only gender difference, in favour of boys, was found in SNMP skills. The differential effects associated with MA (developmentally only linked with arithmetic skills) and gender (predicting only changes in SNMP) call for further longitudinal research on the different domains of mathematical skills.

Developmental trajectories of school-beginners' ability self-concept, intrinsic value and performance in mathematics.

BACKGROUND: Although research clearly demonstrates the importance of motivation in mathematics learning, relatively little is known about the developmental dynamics between different facets of mathematics motivation and performance, especially in the early years of schooling. AIMS: In a longitudinal setting, we examined (1) how children's ability self-concept and intrinsic value in mathematics change over time during their first 3 years in school, (2) how those changes relate to each other and (3) how they connect with mathematics performance. SAMPLE: The participants were 285 Finnish school-beginners (52.7% girls). METHODS: Latent growth curve modelling was used to examine the developmental trajectories of children's ability self-concept and intrinsic value, and how those trajectories predicted later mathematics achievement (both mathematics test performance and teacher-rated grades), while controlling for previous mathematics performance and gender. RESULTS: The results showed significant decreases in children's ability self-concept and intrinsic value, but also significant individual differences in the trajectories. The strong dependency between the levels and changes in self-concept and intrinsic value led us to specify a factor-of-curves latent growth curve model, thus merging the trajectories of ability self-concept and intrinsic value into one common model. Subsequent results showed prior mathematics performance to predict change in children's mathematics motivation, and both the level and change in mathematics motivation to predict third-grade performance and teacher-rated grade. CONCLUSIONS: Our findings provide evidence for a developmental link between children's ability self-concept, intrinsic value and achievement. Achievement seems to enhance mathematics motivation, and positive motivation appears to support the further development of mathematics skills.

Temperamental Sensitivities Differentially Linked With Interest, Strain, and Effort Appraisals.

The present research examined the connections between temperament (punishment sensitivity; interindividual reward sensitivity; intraindividual reward sensitivity), students' domain- and course-specific motivational appraisals (interest, strain, effort), and performance, in two studies. Study 1 explored the relationships between temperamental sensitivities, motivational appraisals, and task achievement among secondary students (N = 268) in the domain of mathematics, using Exploratory Structural Equation Modeling (ESEM) for the analyses. Study 2 was conducted longitudinally among upper-secondary students (N = 155) during a course in four key school subjects. Subject interest was included alongside the temperamental sensitivities as a predictor of course-specific motivation and course grades, and the data were analysed with Partial Least Squares Structural Equation Modeling (PLS-SEM). Previous achievement was controlled in both studies. The findings showed temperamental sensitivities to be differentially linked with motivational appraisals. Punishment sensitivity in Study 1, and interindividual reward sensitivity (sensitivity to reward dependent on others' approval or attention) in Study 2 were found to have an effect on psychological strain. In both studies, interest and effort were predicted by intraindividual reward sensitivity (positive responsiveness to novelty and own successes). In Study 2, subject interest was a consistent predictor of higher course interest and lower strain. In both studies, connections were found between strain and lower performance. The findings suggest individual characteristics may predispose students to certain motivational experiences, and contribute to educational outcomes, in both domain and course contexts and across subject content.

The role of achievement goal orientations in students' perceptions of and preferences for classroom environment.

BACKGROUND: Recent research on achievement motivation has begun to examine the effects of environmental factors affecting students' motivational beliefs and goal tendencies. However, when interpreting and applying the results, individual factors underlying students' different perceptions of their learning environment are often ignored. An implicit assumption seems to be that regardless of their dispositional differences (e.g. motivational basis), students will experience and benefit from instructional practices in the same way. AIMS: This paper highlights the importance of students' dispositional motivational factors when examining differences in their perceptions of and preferences for the learning environment. The study builds on a conception of student motivation that emphasizes the interaction of individual and contextual factors. SAMPLE AND METHOD: Questionnaires served as self-report tools and assessed students' achievement goal orientations, self-esteem, causality beliefs, academic withdrawal and perceptions of and preferences for the learning environment. The sample consisted of 208 sixth grade elementary school students. RESULTS: Based on latent class cluster analysis and one-way analyses of variance, it was found that students' perceptions of and preferences for the learning environment vary depending on differences in students' motivational tendencies. CONCLUSIONS: Students' dispositional motivational characteristics should be taken into account both in theoretical considerations and in instructional interventions.