Strategies to Encourage Mathematics Learning in Early Childhood: Discussions and Brainstorming Promote Stronger Performance

This longitudinal study examined the influence of prekindergarten teacher characteristics and classroom instructional processes during mathematical activities on the growth of mathematics learning scores in prekindergarten, kindergarten, and first grade. Participants attended state-funded and Head Start prekindergarten programs. Mathematical performance was measured in fall and spring in prekindergarten and spring in kindergarten and first grade using the Test of Early Mathematics Ability–3 (TEMA-3; Ginsburg & Baroody, 2003). Two dimensions of the Classroom Assessment Scoring System (CLASS; i.e., instructional learning formats and concept development; Pianta, La Paro, & Hamre, 2008) were scored based on observed classroom mathematics activities. Teachers provided information about their education and years of prekindergarten teaching experience. Research Findings: Instructional processes that included elements of the CLASS concept development dimension, such as discussions and brainstorming to encourage children’s understanding, were related to growth of mathematics scores. Neither teacher characteristics nor instructional processes of the CLASS instructional learning formats dimension, such as using different modalities and materials, and learning objectives, were related to growth of mathematics scores. Practice or Policy: The findings extend our understandings of how instructional processes impact children’s early mathematical performance. These findings may be helpful in increasing our understanding of the types of instructional processes that might be emphasized in teacher professional development specifically related mathematical activities. Professional development that focuses on the CLASS concept development dimension may be easier for teachers to remember and implement in their classrooms and, consequently, have a greater impact on mathematics learning.     

Teacher Stress Predicts Child Executive Function: Moderation by School Poverty

Research Findings: Recent research has explored relations between classroom quality and child executive function (EF), but little is known about how teachers’ well-being, including stress, relates to child EF—a crucial component of self-regulation. We hypothesized that teacher stress is negatively or curvilinearly related to child EF and classroom quality may be one mechanism explaining this relation. Furthermore, as working with young, low-income children may be particularly stressful, we tested the extent to which the relation between teacher stress and child EF varies by school-level poverty. Two-level hierarchical linear models using a sample of 171 kindergarten children and 33 teachers revealed a marginally significant linear relation between teacher stress and child EF (spring) controlling for baseline child EF (fall); there was no evidence for mediation by classroom quality. School-level poverty moderated the relation between teacher stress and child EF: Children attending low-poverty schools demonstrated smaller gains in EF when their teachers reported higher stress levels. However, in high-poverty schools high levels of teacher stress were not a risk factor for child EF. Practice or Policy: These novel findings are a first step to understanding how teachers’ well-being relates to child EF across schools and have implications for supporting teachers.     

Data-based individualization in mathematics to support middleschool teachers and their students with mathematics learning difficulty

Project STAIR (Supporting Teaching of Algebra: Individual Readiness) aims to develop and iteratively refine a framework for using data-based individualization (DBI) to support the readiness for algebra of middle-school students with mathematics learning difficulty. Project STAIR was tested in four middle schools in the United States to assess the impact of intensive professional development, ongoing coaching, and frequent student progress monitoring on teachers’ DBI practices, school-level culture and climate, and students’ algebra readiness. Findings from this exploratory research point to the promise of Project STAIR for improving teacher perceptions of school culture and climate related to support of students experiencing mathematics learning difficulty as well as increasing specific DBI practices, including teachers’ ratings of importance, understanding, and confidence with assessment practices. Students’ mathematics outcomes improved on several algebra-readiness progress monitoring measures, along with a diagnostic measure, but not on a more distal measure of mathematics performance.     

A multilevel analysis of the impact of a professional learning community, faculty trust in colleagues and collective efficacy on teacher commitment to students

This study investigated the relationships between a professional learning community (PLC), faculty trust in colleagues, teachers’ collective efficacy, and their commitment to students. The findings from exploratory factor analysis indicated that three clear components could be extracted from the scale of Professional Learning Communities Assessment (PLCA) in a Chinese setting. Multilevel analyses was conducted to investigate how school-level variables, including the three factors of PLC, faculty trust in colleagues, and collective teacher efficacy, affect teachers’ commitment to students. The findings from the Hong Kong teacher sample indicated that two PLC factors including collective learning and application and supportive conditions - structures, and the factors faculty trust in colleagues and collective teacher efficacy could significantly and positively account for the school-level variances of teachers’ commitment to students. Another PLC factor, shared and supportive leadership, was not identified as a significant predictor to teachers’ commitment to students in a Chinese setting. The findings of school-level regressions indicated that all three factors of PLC as well as faculty trust in colleagues could significantly and positively affect teachers’ collective efficacy on instructional strategies. However, only one PLC factor, collective learning and application, and the factor faculty trust in colleagues were significant predictors to teachers’ collective efficacy on student discipline.     

Observed classroom quality in first grade: associations with teacher, classroom, and school characteristics

The observation and assessment of quality of teacher–child interactions in elementary school settings are increasingly recognized as important; however, research is still very limited in European countries. In this study, we examined the quality of the interactions between teacher and children in first-grade classrooms in Portugal and the extent to which structural features at teacher-, classroom-, and school-level explained variation in this quality. One hundred fifteen classrooms participated in the study. Classrooms were observed through a standardized rating scale concerning emotional, organizational, and instructional support. Results indicated that the levels of emotional and organizational support in most classrooms were of moderate quality, but the levels of instructional support were low, suggesting that most observed activities did not encourage students’ higher-order thinking skills. An examination of the associations between teacher and classroom characteristics and the quality of teacher–child interactions indicated a small effect for teacher education. Teachers with an advanced degree were more likely to be more emotionally sensitive and to have better instructional interactions in the classroom. For school-level characteristics, findings showed that the classrooms in private and smaller schools were likely to provide higher levels of emotional, organizational, and instructional quality. The results suggest that focusing on the interactions between teacher and children can provide valuable information to enhance classroom quality.     

Pakistani Teachers’ Perceptions of Kindergarten Children’s Learning: An Exploration of Understanding and Practice

This paper considers perceptions of children’s learning and classroom practice to support learning in the Pakistani early years educational context. In Pakistan, there is a growing focus on quality provision of early childhood education and building early childhood education teacher capacity. Over the course of one academic year, data were collected from kindergarten teachers in a Pakistani urban school through interviews and classroom observations as part of a larger study. Findings presented in this paper are based on the interview data of two teachers in the sample, a novice and an experienced teacher. Data analysis examined their perceptions of kindergarten children’s learning and of their practice to support kindergarten children’s learning, taking into consideration the gender perspective. The results showed tensions in the teachers’ perceptions which contrasted between a constructivist approach and a teacher-directed skills approach. Perceptions of their practice reflected a formal, teacher-directed approach rather than a constructivist approach and a teacher-directed skills approach to teaching. Several factors, including deep-rooted perceptions as well as curriculum structure, time, number of staff and resources, contributed to this.     

Teacher self-efficacy and self-reported cognitive activation and classroom management: A multilevel perspective on the role of school characteristics

In the present study, we consider teachers' self-efficacy as indicator for teacher motivation on the teacher level and at the school-level. We examine the interplay of teachers' individual self-efficacy (subscales classroom management and instruction) with school-level efficacy and more-external school characteristics (collaboration, instructional leadership, and participation) when predicting teachers' self-reported cognitive activation and classroom management. Austrian TALIS 2018 data from 4255 teachers at 246 schools were analyzed. Multilevel analyses revealed relationships between teachers' self-efficacy and self-reported cognitive activation and classroom management both, at the teacher and school levels. For self-reported cognitive activation, no significant context effect or cross-level interaction was found. Classroom management differed depending on whether a teacher was situated in a low- or a high-efficacy school (context effect). Also, teacher collaboration moderated the association of teachers’ self-efficacy and their self-reported classroom management (cross-level interaction). The findings indicate the importance of addressing the school context when investigating teacher self-efficacy.     

The Influence of Teachers’ Efficacy and Beliefs Regarding Mathematics Instruction in the Early Childhood Classroom

This was a correlational study conducted with a population of prekindergarten educators from a large, metropolitan school district. The purpose was to examine if there were relationships between and among early childhood teachers’ sense of self-efficacy, their beliefs about the importance of mathematics, and their mathematics instructional practices. Examining teachers’ efficacy and beliefs can inform educational practice and help to differentiate between more and less successful instructional practices when teaching mathematics in the early childhood classroom. Data were collected on teacher efficacy and teacher beliefs about the importance of mathematics with two self-report questionnaires. The hypothesis that the teachers higher in efficacy will rate the importance of mathematics higher on the teacher-belief scale than the teachers with lower efficacy was found to be true with this sample, but the correlation was weak. The level of efficacy of the early childhood teachers in this sample confirmed that in assessing their capabilities, they rate themselves high in instructional strategies, classroom management, and student engagement. The early childhood teachers did not rate their belief in mathematics as high as their efficacy. Observations of mathematics instructional practices were conducted with twenty teachers. It was hypothesized that the combination of high teacher efficacy and high teacher mathematics beliefs would show alignment with the presence of standards-based mathematics instructional practices. The results were not statistically significant. No correlation signals a need for more research to explore what other personal or external factors relate to mathematics instructional practices in the early childhood classroom. The research may inform pre kindergarten teachers and teacher educators about effective instructional strategies and knowledge needed to launch early childhood students on a developmentally appropriate pathway to mathematical literacy.     

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.     

Teacher's aides in kindergarten: Effects on achievement for students with disabilities

Over the past 20 years, the number of teacher's aides in the United States has more than doubled, potentially in response to the growth of special education programs now taking place in general education schools. Surprisingly, little research at all has focused on the role that teacher's aides may play in improving student achievement, and no known study had examined this for students with disabilities. The author addressed this void by examining how teacher's aides link to achievement outcomes for students with disabilities in kindergarten. Using nationally representative data, the findings suggest that students with disabilities in full-day kindergarten have higher reading and mathematics outcomes at the end of kindergarten when the classroom has a teacher's aide. In contrast, there was no observed benefit for students with disabilities in part-day kindergarten. The size and strength of this relationship differs by individual characteristics and teacher and classroom characteristics. Implications are discussed.     

Disparate bodies: the role of the teacher in contemporary pedagogic practice

The teacher’s body has a dubious status within contemporary pedagogic practice. The impact of progressivism in many western countries, with its emphasis on student‐centred learning, has resulted in a marginalisation of the teacher’s role in many classrooms. While its influence appears to be waning, in Australian primary schools, student‐centred methodologies such as group‐based and independent learning tend to dominate classroom practice. Relegated to the role of facilitator the teacher’s overall presence and bodily impact in classrooms has been greatly reduced. Drawing on a study of the practice of two kindergarten teachers in two schools in Sydney, Australia, this article will examine the ways in which they embody pedagogic space, the regimen they create and the techniques they employ in teaching their students how to write. In a sense the title ‘Disparate bodies’ has a dual focus. Not only does it relate to the different ways in which the two teachers deploy their bodies in the classroom, it also refers to the differential embodiment of their students which results from the affects that their teachers’ pedagogies engender.     

Learning barriers among Grade 6 pupils attending rural schools in Uganda: implications to policy and practice

The paper uses multilevel analysis procedures to examine individual- and group-level learning barriers that have the greatest impact on pupil achievement in Uganda. The data for this study were collected in 2014 among 2711 Grade 6 pupils attending 82 schools in two rural districts of Iganga and Mayuge in Uganda. Data used in this paper are part of a larger study which sought to examine the schooling patterns, as well as the quality of education received by children living in rural settlements in Uganda. Among the learning barriers with the greatest impact on pupil achievement at the individual-level were lack of parental involvement, lack of pre-primary school attendance, grade repetition, and lack of basic learning resources such as writing materials. At the school-level, the barriers with the most impact on pupil achievement were lack of teacher lesson preparedness, lack of teacher-classroom support by subject advisors, distance between school and teachers’ place of residence, lack of basic classroom resources, and whether or not the teacher kept pupil learning progress records. Implications of the findings for policy and practice are outlined.     

从视频研究透视课堂教学对学生学习的影响及其路径——基于GTI视频研究上海数据的实证分析

教学的有效性是教育研究的一个核心议题,而相关的课堂教学研究大多基于间接性的课堂数据,使得教师效应长期处于“黑箱”状态.本研究利用OECD发布的全球教学洞察(GTI)视频研究对教师和学生的课堂行为进行的教学视频观测而生成的实证数据,聚焦中国上海的初中数学课堂,探析特定的教师课堂教学实践对其学生的学习兴趣、自我效能和成绩的...     

Turnover in Kindergarten Classroom Membership in a National Sample

Information was obtained from a large national sample of kindergarten teachers on changes in classroom membership for the 1995-1996 school year. On average, 26% of kindergarten classroom membership changed over the school year with frequency increasing as schools were more urban, in higher poverty districts, or with higher minority representation among students. School district policy allowing children to remain in the same classroom when they moved was related to slightly higher frequencies of new student enrollment and relatively higher class size. Teachers in classrooms with high turnover believed a high percentage of entering children had many adjustment problems, problems in communicating, following directions, academic skills, little formal preschool experience, and came from disorganized homes. These data provide teacher-reported national estimates for kindergarten classroom enrollments indicating substantial change over the course of the year and associated teacher beliefs.     

Turnover in Kindergarten Classroom Membership in a National Sample

Information was obtained from a large national sample of kindergarten teachers on changes in classroom membership for the 1995-1996 school year. On average, 26% of kindergarten classroom membership changed over the school year with frequency increasing as schools were more urban, in higher poverty districts, or with higher minority representation among students. School district policy allowing children to remain in the same classroom when they moved was related to slightly higher frequencies of new student enrollment and relatively higher class size. Teachers in classrooms with high turnover believed a high percentage of entering children had many adjustment problems, problems in communicating, following directions, academic skills, little formal preschool experience, and came from disorganized homes. These data provide teacher-reported national estimates for kindergarten classroom enrollments indicating substantial change over the course of the year and associated teacher beliefs.     

让学生“动”起来,追求有效而有活力的课堂

《新课程标准》指出:有效的数学学习活动不能单纯地依赖模仿与记忆,教师应该向学生提供充分从事活动的机会,引导学生主动参与、亲身实践、独立思考、合作探究。而现在的课堂往往忽视了学生的个性和思维的发展,过于强调知识的记忆与模仿,有时甚至为了追求分数,采取题海战术,严重压抑了学生的主动性和创造性,使数学课堂缺乏生命力。如果老师能利用儿童好动的天性,利用形式多样的活动促使他们积极地投入到数学学习中来,将取得事半功倍的效果。     

Strategy diversity in early mathematics classrooms

Strategic processes are a form of procedural knowledge in which a child knows how to enact a given strategy that improves their capability in problem solving or learning. The solution strategies children use are critical components of their learning, especially in mathematics. Children vary substantially in their knowledge and use of different strategies, and much research has focused on intraindividual strategy variability. However, we do not know if classrooms that evince a broader variety of strategies across children are related to higher mathematics achievement. We investigated the diversity of arithmetical strategies within classrooms and examined the relations between strategy diversity and mathematical achievement as children moved from preschool to kindergarten and first grade. These analyses were applied to data from a large-scale experiment involving 1305 children from 42 schools and 106 classrooms. We created and applied a new method of measuring classroom strategy diversity and related this measure to children’s concurrent and subsequent math achievement. We found that early strategy diversity was strongly related to achievement, but in subsequently, less diversity was so related. We compared these results to the predictions of three theoretical categories and found that our results mainly supported one.     

Mathematics achievement in high- and low-achieving secondary schools

This paper identifies the amount of variance in mathematics achievement in high- and low-achieving schools that can be explained by school-level factors, while controlling for student-level factors. The data were obtained from 2679 Iranian eighth graders who participated in the 2007 Trends in International Mathematics and Science Study. Of the total sample, 1422 and 1257 students were from high- and low-achieving schools, respectively. Two-level hierarchical linear modelling was applied. The results indicated that of the total variance in mathematics achievement, 27.95 and 6.70% were due to between-school differences in the high- and low-achieving schools, respectively. Controlling for the school-level factors, the better-performing students were those with a higher level of confidence in learning mathematics in both samples. After controlling for the student-level factors, inadequacies in school resources and school type yielded the strongest link to achievement in the high- and low-achieving schools, respectively.     

Linking university mathematics classroom environments to student achievement: The mediation of mathematics beliefs

This study examined the relationships between university mathematics classroom environments, mathematics beliefs, and achievement in the context of mainland China. As a type of affect in mathematics learning, mathematics beliefs including mathematics conceptions and efficacy were examined as mediators. Based on analysis of a sample of 1443 undergraduate students from a university in northern China, the study not only found that the mathematics classroom environment was associated with both affective and cognitive mathematics outcomes, but also confirmed the mediating role of mathematics beliefs. Specifically, a desirable classroom environment was related to students’ cohesive conceptions, enhanced self-efficacy, and higher mathematics achievement. In contrast, students’ perceived difficulty of learning mathematics was connected to their fragmented conceptions, reduced self-efficacy and lower mathematics achievement. Implications of the study are discussed.