Impact of Children’s math self-concept,math self-efficacy,math anxiety,and teacher competencies on math development

We examined to what extent children’s development of arithmetic fluency and mathematical problem-solving was influenced by their math self-concept, math self-efficacy, and math anxiety but also teacher competence, specifically: actual teaching behavior, self-efficacy, and mathematical teaching knowledge. Participants were 610 children and 31 teachers of grade four. Multi-level analyses showed children’s math self-concept to be a positive predictor of arithmetic fluency and actual teaching behavior to be a negative predictor. The development of mathematical problem-solving was predicted: positively by mathematical teaching knowledge; negatively by actual teaching behavior and teachers’ self-efficacy; and not at all by the child factors of math self-concept, math self-efficacy, or math anxiety. Promoting the self-confidence of young children is essential for their mathematical development. More research into the relationship between teaching behaviors and children’s math development is needed.     

The effects of perceived parental math support on middle school students’ math engagement: the serial multiple mediation of math self-efficacy and math enjoyment

The present study explored the direct and indirect (serial multiple mediation of math self-efficacy and math enjoyment) effects of perceived parental math support on middle school students’ math engagement. A total of 374 middle school students ranging the age of 11 to 15 years completed a set of questionnaires assessing perceived parental math support, math self-efficacy, math enjoyment, and math engagement. In the analysis of structural model, a multiple-step multiple mediation analysis was employed. The findings indicated that perceived parental math support was directly and positively associated with math engagement. Additionally, math self-efficacy and math enjoyment sequentially mediated the relationship between parental math support and math engagement. The limitations and implications of the results are discussed and suggestions for future research are proposed.

     

Do teachers’ perceptions of children’s math and reading related ability and effort predict children’s self-concept of ability in math and reading?

This study investigated to what extent primary school teachers’ perceptions of their students’ ability and effort predict developmental changes in children’s self-concepts of ability in math and reading after controlling for students’ academic performance and general intelligence. Three cohorts (N?=?849) of elementary school children and their teachers were followed for four years. Children’s self-concepts and performance ability in math and reading were measured annually during Waves 2–4. Teachers rated the children’s ability and effort at each of the four waves. Domain-specific differences and developmental changes could be identified in the associations between teachers’ perceptions and children’s ability self-concepts. Teachers’ ability perceptions predicted children’s concurrent and subsequent ability self-concepts in math and reading, whereas teachers’ effort perceptions predicted children’s math ability self-concept only at Wave 4. Analyses with multi-sample procedure showed that these models were similar for boys and girls and for children in different cohort groups.     

Temporal cortex activation explains children’s improvement in math attitudes

Math attitudes are related to achievement, yet we do not know how the brain supports changes in math attitudes. 51 children (54.9% female, 45.1% male; 37.3% White, 33.3% Black, 11.8% Latino, 5.9% Asian, 11.8% Other) solved a multiplication task inside the scanner when they were approximately 11 (time 1; T1) and 13 (time 2; T2) years old (i.e., mean age). Results revealed clusters in the left middle to superior temporal gyri at T1 associated with math attitudes at T1 and with their longitudinal improvement. However, changes in attitudes were not associated with brain changes over time. These findings suggest that relying on the storage of arithmetic facts, involved in memory retrieval, explains the development of positive math attitudes.     

Does special education predict students’ math and language skills?

A large number of children are today receiving special education in Norway. The high cost to society and possible long-term consequences for the students make it important to understand the interrelationship of the causes and effects related to receiving special education services. Unfortunately, at present there are only few rigorous studies of the effects of receiving special education services. This study examined the interrelationship between receiving special education services and students’ math and language skills in upper secondary school in Norway. Data from 2756 students in the large population-based special education study (SPEED) was used that included information from questionnaires on students’ development, learning environment and family background. Results showed that students receiving special education services had slightly lower scores on their language test but similar scores on their math test compared to the group of students not receiving special education services, when conservative methodological approaches were used to control for possible covariate bias.     

Gender by racial/ethnic intersectionality in the patterns of Adolescents’ math motivation and their math achievement and engagement

Individuals' math motivational beliefs are theorized to shape their STEM achievement and engagement in high school and beyond. Combining situated expectancy-value theory and intersectionality framework, the goals of this study were to (a) identify the unique patterns of U.S. high school students' math motivational beliefs, (b) examine differences in the patterns based on the intersection of gender and race/ethnicity, and (c) test the extent to which these patterns predicted differences in students' math achievement and classroom behavioral engagement for each of the gender by racial/ethnic groups. The current study included 16,120 high schoolers (50% female; 63% White, 17% Latina/o, 11% Black, and 9% Asian Americans; Mage = 14.46 at Grade 9) from the High School Longitudinal Study. There were six unique patterns of students' math motivational beliefs: Overall High, Above Average but not Identified, Identified but Average Value, Average, Low Identity, and Overall Low. Pattern membership at the intersection of gender and race/ethnicity showed nuances that could not be represented by gender or race/ethnicity alone; for example, male and female Asian American adolescents had similar patterns, but many male and female adolescents of other racial/ethnic groups had different patterns. Adolescents' math motivational belief patterns were associated with their Grade 11 math achievement and behavioral engagement even after controlling for prior math achievement and family socioeconomic status, and the associated varied by the gender and racial/ethnic groups.     

The effects of POWERSOURCE© assessments on middle-school students’ math performance

This paper describes results from field testing of middle-school math formative assessments alongside professional development and instructional resources. We employed a randomised, controlled design to address the question: Does using our formative assessment strategies improve student performance on assessments of key mathematical ideas relative to a comparison group? This study also provided data on the instructional sensitivity of the assessments, which is part of the validation needed for formative assessments. Teachers were recruited from two districts and seven middle schools. Nineteen treatment and 17 comparison group teachers and their students were included in study analyses. Scores on extended response and short-answer questions indicated that students in the treatment group performed better than students in the comparison group who received the formative assessments alone. These findings demonstrate both the feasibility and value of including performance task-types in a brief assessment context.     

Longitudinal reciprocal effects between teachers’ judgments of students’ aptitude,students’ motivation,and grades in math

We investigated whether teachers’ judgments of students’ aptitude had reciprocal effects on students’ motivation and math grades. We expected that teachers’ judgments of students’ aptitude would predict students’ grades and motivation, and that teachers’ judgments would also be predicted by these two aspects. A sample of N = 519 elementary school students was investigated at four measurement occasions from the end of third until the end of fourth grade. Students reported their self-concepts and intrinsic task values in math. Teachers (N = 27) judged students’ aptitude in math and provided students’ math grades. Cross-lagged panel analyses revealed that students’ prior grades and prior self-concepts (but not intrinsic task values) had positive effects on teachers’ subsequent judgments of student aptitude. Also, teachers’ prior judgments of student aptitude predicted students’ subsequent grades but not motivation. The findings underscore the importance of teachers’ judgments for students’ achievement development and give insights into which students’ motivational variables influence teachers’ perceptions of students’ aptitude.     

Effect of parents’ mathematics anxiety and home numeracy activities on young children’s math performance-anxiety relationship

A negative correlation between mathematics performance and mathematics anxiety (MA) has been identified in students of varying ages. However, little is known as to whether this correlation diminishes when environmental factors are incorporated as moderator variables.Specifically, the effect of home numeracy activities (HNA) and parental MA on students’ performance-MA relationship has received little attention. Furthermore, there have been no studies that consider HNA frequency as reported by the children themselves. A sample of 311 Chilean second graders and their parents participated in the present study. We examined whether HNA frequency moderates the performance-MA relationship and whether this moderation is in turn moderated by parent MA. Results showed that the frequency of HNA strengthened or diminished the negative correlation between performance and MA as a function of parent MA. In the case of parents with low MA, regardless of HNA frequency, child mathematics performance was negatively associated with child MA. However, in the case of math-anxious parents that interacted frequently with their children, there was no association between child MA and math achievement. More broadly, the present study suggests that mathematics-related family dynamics and parents’ emotions are key to understanding the relationship between performance and MA in early development.     

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.     

Who likes math where? Gender differences in eighth-graders’ attitudes around the world

Some of the most male-dominated science, technology, engineering and mathematics occupations and degree programmes are found in the world’s most affluent societies. This article assesses whether gender gaps in attitudes follow similarly surprising patterns. Multivariate analysis of eighth-graders’ affinity for mathematics and aspirations for mathematically related jobs in 53 countries shows that the attitudinal gender gap is indeed larger in affluent ‘postmaterialist’ societies. Moreover, both girls and boys view mathematics more negatively in these societies. The authors suggest that cultural ideals of individual self-expression, highly prevalent under conditions of broad-based existential security, operate to reduce girls’ and boys’ interest in pursuits thought to be economically practical but personally non-expressive. Girls may be particularly susceptible to this negative effect, because taken-for-granted cultural beliefs about core female personality traits (and girls’ gendered understandings of their own authentic inner selves) are often at odds with dominant representations of mathematical and technical work.     

Relations among parental causal attributions and children’s math performance and task persistence

The present longitudinal study examined the cross-lagged relations between parental causal attributions of children’s math success to children’s ability, parental help, children’s math performance and task persistence. A total of 735 children, their mothers, fathers and teachers were assessed twice – at the end of the second and the third grades. Children were tested in math and parents filled out questionnaires measuring causal attributions. Children’s task persistence was reported both by parents and by class teachers. The results of path analyses indicated mutual negative effects between mothers’ and fathers’ help attributions and children’s math performance, and a positive effect of mothers’ ability attributions on children’s math performance. Cross-lagged relations were also found for children’s math performance and task persistence. However, relations between parental attributions and children’s task persistence were evident only for fathers’ ability attributions. The findings emphasise the importance of examining both mothers and fathers, home and school context.     

Impact of Korean students’ individual learning time on math performance: differential effect of teachers’ assessment competency

Asia Pacific Education Review - As the 2015 revised national curriculum is being implementing in Korea, a teacher’s assessment competency has become a point of focus for the potential...     

Mapping changes in students’ English and math self-concepts: a latent growth model study

The aims of this study were to examine changes in students’ English and math self-concepts and to investigate the effects of gender and school ability level on these changes. Self-concept in English and math were measured thrice across three years among a sample of 2618 secondary school students from Hong Kong. Gender and school ability level were included as time-invariant predictors. Results indicated that students’ English self-concept slightly increased across time, while math self-concept marginally declined. Gender influenced both the initial levels and rates of change for English and math self-concepts, while school ability level predicted initial levels of self-concept. Implications are discussed.     

Le texte mathématique dans l'enseignement

Sans résumé     

Improving literacy and math instruction at scale in India’s primary schools: The case of Pratham’s Read India program

Pratham’s “Read India” initiative is a large-scale intervention to improve basic learning and arithmetic among children in primary school. It was started almost 10 years ago and has evolved considerably over time. Currently, this initiative uses two strategies. The first strategy is to work directly with village communities and local schools to improve children’s learning. “Learning camps” are organized in the local school or community for a period of 6–10 days at a time. Local village volunteers help to teach children who are organized in groups by their level of learning. These camps—intensive bursts of focused instruction—are repeated several times during the year. This model which has been rigourously evaluated shows that children’s learning levels improve significantly. The second strategy is to work with the government. This approach is used when school systems want to partner or collaborate with Pratham for improving basic learning. The key element here too is grouping children and teaching them from their level rather than by their grade. This approach also shows promising results. Independent evaluations and randomized control trials conducted on both models have indicated significant impact. Moving between the present set of conditions in India and past lessons, this case describes a decade-long journey of efforts to change teaching and learning at the ground level as well the efforts to bring about significant shifts in priority at the system level. The “Read India” case presented here contributes knowledge on strategies under which effective pedagogy can be brought to scale. It also discusses challenges of transforming instructional change in a context of low initial capacity at the school and system levels, where attention to rapid expansion of access to school had kept aside for a long time critical questions about teaching quality and learning outcomes. A second contribution of “Read India” to current knowledge on large-scale educational change relates to the role non-government actors such as Pratham can play in bringing effective pedagogy to scale to improve student learning.     

Effect of teacher support on students’ math attitudes: Measurement invariance and moderation of students' background characteristics

We examine the effect of students' perceptions of teacher support on attitudes towards math and whether the association varies between students from historically underrepresented groups in STEM. Participants included high school students enrolled in an AP Statistics course (N = 585, M_age = 16.75 years, SD_age = 0.88). Measurement invariance conducted on the basis of student background characteristics (i.e., biological sex, underrepresented race/ethnicity status, and parental educational attainment) provided evidence of metric invariance or greater. Standardized regression coefficients suggested potential differences, such that for students who were female, from an underrepresented racial/ethnicity group in STEM, or had parents with lower levels of education, the effect of teacher support appeared not as strong compared to their counterparts. However, scaled chi-square difference tests comparing nested latent path models did not suggest a moderation effect of these three characteristics. These findings have implications for understanding barriers many students face in receiving the benefits of teacher support.     

Flowery math: a case for heterodiscoursia in mathematics problems solving in recognition of students’ authorial agency

In an innovative, progressive school, students were asked to solve a fairly routine mathematical problem using real money in a “real-world” scenario. Even though the school values students’ ideas, the reaction of the teacher to one student’s alternative modelling of the problem suggests that he was expecting a particular answer to be provided using routine mathematical models and thinking while not being interested in exploring the student’s unexpected alternative. We place his reasoning for doing so within broad pedagogical discourses that we think define the “allowable” responses of teachers and students in ways that inhibit meaning-making for both. These broad discourses are defined as the progressive constructivist approach, the scaffolding discursive approach, the situation modelling approach and the dialogic approach. We consider the advantages and the potential consequences each might bring to the case. We suggest that extensive consideration of pedagogical discourses in mathematics classes must be reconsidered both for how we understand students’ mathematical meaning-making and how we construct student agency in relationship to culture, whether as apprentices or authors.     

The effects of self-regulated learning training on community college students’ metacognition and achievement in developmental math courses

The effects of training in self-regulation on metacognition and math achievement were investigated. The participants were 116 community college students enrolled in developmental math courses. Students enrolled in 16 classrooms were randomly assigned to the treatment and control groups. Participants in the treatment group completed four self-regulated learning (SRL) exercises based on Zimmerman’s (2002) cyclical model. The exercises were completed weekly and repeated for a total of 3 weeks. During the last week of class, participants completed a final exam to measure math achievement as well as the metacognitive self-regulation and time/study environment management scales on the Motivated Strategies for Learning Questionnaire ([MSLQ], Pintrich, Smith, Garcia, & McKeachie, 1991). There were significant differences between the two groups, indicating that training in SRL improved math achievement and metacognitive skills assessed on both MSLQ scales. The findings suggested that training in SRL improves math achievement, metacognitive self-regulation and time/study environmental management skills of students enrolled in developmental math courses.