Combined fluency and cognitive strategies instruction improves mathematics achievement in early elementary school

One hundred and seventy-eight second grade students from two states (Georgia and Massachusetts) participated in an experiment in which they were randomly assigned to either (1) a computer program designed to increase fluency in addition and subtraction, (2) a program designed to improve cognitive strategy use for addition and subtraction, (3) a program that combined the fluency and cognitive strategy instruction programs or (4) a control condition. The intervention consisted of 40 half-hour sessions (2 sessions per week for 20 weeks). Prior to the intervention, and immediately following the intervention, the participants were tested on fluency, cognitive strategy use, and mathematics achievement. ANCOVAs indicated that children in the combined fluency and cognitive strategy use condition significantly improved their mathematics achievement in comparison to the control group. When we examined the impact of the intervention as a function of gender, boys appeared to benefit from the intervention, but girls did not.     

Parent-child cohesion,self-esteem,and academic achievement: The longitudinal relations among elementary school students

This study addressed the longitudinal reciprocal relations among parent-child cohesion, self-esteem, and academic achievement in elementary school students. A total of 659 students from Grades 4–5 in China (M_age = 10.09 years, 46.3% female) was investigated on five occasions across 12 months. The results indicated that: (a) For the direct reciprocal relations, mother-child cohesion and academic achievement reciprocally enhanced each other; self-esteem and academic achievement transactionally facilitated each other; father-child cohesion and self-esteem reciprocally enhanced each other; self-esteem facilitated mother-child cohesion, but not vice versa. (b) For the indirect relations, father-child cohesion and students’ academic achievement facilitated each other indirectly via self-esteem; students’ academic achievement influenced mother-child cohesion indirectly via self-esteem, but not vice versa. These results delineated the dynamic system among these study variables, and also revealed that father-child cohesion and mother-child cohesion showed both similarities and differences. Implications for educational practices were discussed.     

Taking the relational structure of fractions seriously: Relational reasoning predicts fraction knowledge in elementary school children

Understanding and using symbolic fractions in mathematics is critical for access to advanced STEM concepts. However, children and adults consistently struggle with fractions. Here, we take a novel perspective on symbolic fractions, considering them within the framework of relational structures in cognitive psychology, such as those studied in analogy research. We tested the hypothesis that relational reasoning ability is important for reasoning about fractions by examining the relation between scores on a domain-general test of relational reasoning (TORR Jr.) and a test of fraction knowledge consisting of various types of fraction problems in 194 s grade and 145 fifth grade students. We found that relational reasoning was a significant predictor of fractions knowledge, even when controlling for non-verbal IQ and fractions magnitude processing for both grades. The effects of relational reasoning also remained significant when controlling for overall mathematics knowledge and skill for second graders but was attenuated for fifth graders. These findings suggest that this important subdomain of mathematical cognition is integrally tied to relational reasoning and opens the possibility that instruction targeting relational reasoning may prove to be a viable avenue for improving children’s fractions skills.     

Learning-related behaviors and literacy achievement in elementary school-aged children

This longitudinal study investigated associations between children's learning-related behaviors and literacy achievement in an ethnically diverse sample of low-income children throughout elementary school. Children's literacy and learning-related behavior (e.g., working independently, seeking challenges) were assessed when they were in kindergarten or first grade and again in the third and fifth grades. The results showed fair consistency over time in both learning-related behaviors and literacy skills. Learning-related behaviors in one grade predicted literacy achievement in the subsequent grade in which it was assessed, but literacy skills did not predict subsequent learning-related behaviors.     

Statistical reasoning of middle school children engaged in survey inquiry

The case study examined two groups of grade 7 students as they engaged in four inquiry phases: posing a question and collecting, analyzing, and representing data. Previous studies reported analyses of statistical reasoning on a single inquiry phase. Our goal was to identify the modes of statistical reasoning displayed during group discussions in all phases as children designed and conducted their own inquiry. A content analysis of audio and video recorded discussions yielded 10 statistical reasoning modes: six relate to Garfield and Gal’s [Garfield, J., Gal, I. (1999). Teaching and assessing statistical reasoning. In L. V. Stiff, & F. R. Curcio (Eds.), Developing mathematical reasoning in grades K-12. 1999 Yearbook (pp. 207–219). Reston, VA: National Council of Teachers of Mathematics] statistical reasoning types involved in the collection, analysis, and representation of data and four modes deal with an aspect of inquiry not exclusively focused upon in the literature on statistical reasoning—i.e., the problem-posing phase. Although students’ reasoning reflected an incomplete understanding of statistics they serve as building blocks for instruction.     

Motivating young language learners: A longitudinal model of self-determined motivation in elementary school foreign language classes

Promoting intrinsic motivation is often a central concern in teaching foreign languages to elementary school children. Self-determination theory posits that intrinsic motivation develops through the interaction of the person and the environment. The present study investigated how elementary school students’ motivation develops over the course of a school year in Japanese public schools. Five-hundred and fifteen Japanese elementary school children were surveyed over the course of one school year. Self-reported motivation, perceptions of teacher support, need satisfaction, and engagement were measured at different times. External raters observed students’ engagement, while classroom teachers assessed the quality of students’ motivation and learning. Structural equation modeling results indicated a positive, dynamic relationship between motivation, perceptions of the learning environment, and engagement. External raters’ assessments showed significant positive correlations with students’ self-reported engagement. Findings indicate how the instruction offered in these Japanese elementary schools supported students’ foreign language learning motivation.     

Science for all: Boosting the science motivation of elementary school students with utility value intervention

The need for students to learn science, technology, engineering, and mathematics (STEM) has increased steadily, while student motivation in this area continues to fall behind. We investigated the effects of science utility value intervention in increasing the science motivation (i.e., interest in science, appreciation of the role of science in future careers, and intention to engage in science-related activities) of Korean 5th and 6th graders. The usefulness of science for attaining the personal and communal goals inherent to various non-STEM careers was emphasized and internalized through classroom activities including postcard writing. At the end of the semester, students in the experimental group (n = 219) perceived greater personal and communal utility in science than those from the control group (n = 197). This enhanced perception of science utility led to greater interest, a higher likelihood of cognitively connecting science to future careers, and the willingness to engage in scientific activities.     

Gender-specific trajectories of academic achievement in Chinese elementary school students: Relations with life satisfaction trajectories and suicidal ideation trajectories

This study explored heterogeneous developmental trajectories of academic achievement and their relations to trajectories of life satisfaction and trajectories of suicidal ideation among Chinese elementary school students. A sample of 547 students (55.0% boys; M_age = 9.00 years, SD = 0.76 at Time 1) completed a packet of measures on five occasions across two years, using 6-month intervals. Three distinct trajectories of academic achievement were identified: “high-stable” (86.28%), “low-increasing” (8.94%), and “low-decreasing” (4.78%). Girls demonstrated higher academic achievement than boys. Students displaying adverse developmental trends in academic achievement were more likely to show adverse trends in life satisfaction. Finally, trajectories of academic achievement and trajectories of suicidal ideation were related for girls, but not boys. Programs promoting academic achievement may require adaptations for the differing genders and start as early as elementary school.     

Achievement goals and school achievement: The transition to different school tracks in secondary school

During the transition from elementary school to secondary school, in Germany, students are assigned to different school tracks, academic or non-academic, that differ markedly in compositional and institutional characteristics, e.g., the level of cognitive activation and performance standards are higher in academic tracks than in non-academic tracks. Currently, there is a lack of research examining the changes in achievement goals (mastery-approach, performance-approach, and performance-avoidance goals) and in the association between achievement goals and school achievement during the transition to these different school tracks. There were 1646 students who participated in a large-scale, three-wave longitudinal study from Grade 4 to Grade 6. While results revealed only slight differences between the two school tracks, the three types of achievement goals declined over time. In elementary school mastery-approach goals were positively and performance-approach goals negatively associated with school grades. After the transition to secondary school mastery-approach goals predicted school grades positively, whereas performance-approach goals negatively influenced achievement (academic track). Overall, the results indicate that between-school-tracking plays a minor role for the development of achievement goals and the relation between goals and achievement.     

Transfer of reading-related cognitive skills in learning to read Chinese (L1) and English (L2) among Chinese elementary school children

This study investigated transfer of reading-related cognitive skills between learning to read Chinese (L1) and English (L2) among Chinese children in Hong Kong. Fifty-three Grade 2 students were tested on word reading, phonological, orthographic and rapid naming skills in Chinese (L1) and English (L2). The major findings were: (a) significant correlations between Chinese and English measures in phonological awareness and rapid naming, but not in orthographic skills; (b) significant unique contribution of Chinese and English rapid naming skills and English rhyme awareness for predicting Chinese word reading after controlling for all the Chinese and English cognitive measures; (c) significant unique contribution of English phonological skills and Chinese orthographic skills (a negative one) for predicting English word reading after controlling for all the English and Chinese cognitive measures; and (d) significant unique contribution of Chinese rhyme awareness for predicting English phonemic awareness. These findings provide initial evidence that developing reading-related cognitive skills in English may have facilitative effects on Chinese word reading development. They also suggest that Chinese orthographic skills or tactics may not be helpful for learning to read English words among ESL learners; and that Chinese rhyme awareness facilitates the development of English phonemic awareness which is an essential skill predicting ESL learning.     

Providing school-based learning in elementary school mathematics: the case of a professional development school partnership

Abstract

School–university partnerships also known as professional development school (PDS) partnerships provide potential for universities and schools to establish partnerships that can benefit university faculty, school teachers, university students, and school students. This study examines the impact of a PDS partnership in which the author served as a school-based mathematics coach for two years in a high-need elementary school. Data sources included interviews, surveys, and field notes from classroom observations. Inductive qualitative analyses which were situated in a multi-level framework for researching professional development found that teachers posed more cognitively demanding mathematical tasks and high-level questions in year two compared to year one of this project. Further, student achievement was noted on both state-wide and district-created assessments. Also teachers reported that the school-based approach to professional development led to some teachers taking on more informal leadership roles to support their colleagues’ mathematics instruction. Implications for school-based learning opportunities across the world include the need to establish specific university–school partnerships, and carefully designing research studies to examine the impact of these learning opportunities.     

Intelligence quotient,short-term memory and study habits as academic achievement predictors of elementary school: A follow-up study

Few studies have explored the differential contribution of general intelligence, short-term memory and study habits has on academic achievement during elementary school, especially during a two-year follow-up. The aim of this study is to determine whether there is a relationship between intelligence quotient (IQ), short-term memory and study habits and their ability to predict the academic achievement of children in elementary school (74 pupils aged 8–9 years old). The instruments used are the General and Factorial Intelligence Test (GFI-3 revised), the Yuste Memory Test (MY), the Study Habits and Techniques Questionnaire (SHTQ) and the average score obtained in the final exams in both 3rd and 4th grade. IQ, short-term memory and study habits are significantly related to academic achievement. These variables can predict 56–59 % (p < .001) of the variability of academic achievement. The study concludes that IQ and study habits are two significant predictor variables of academic achievement.     

When children move: Behavior and achievement outcomes during elementary school

School moves are common during elementary school in the United States. The authors address whether changing schools and residences affects the academic and behavioral development of young students. Utilizing data from the Early Childhood Longitudinal Study, the regression analyses show that, after controlling for prior achievement and behavior, students who experience nonroutine school changes, especially coupled with residential changes, are more likely to develop internalizing and externalizing behavior problems, are less engaged in classroom activities, and have slower reading growth compared to stable students.     

Homelessness in the elementary school classroom: social and emotional consequences

This study examined elementary school teachers’ experiences working with homeless students. Specifically, we focused on the psychosocial impacts of homelessness on students and their teachers. Qualitative, semi-structured interviews were conducted with 28 teachers who worked at designated public schools for family homeless shelters. A prominent theme that emerged from teachers’ accounts was how the instability tied to homelessness affected students’ behavioral, social, and emotional adjustment in the classroom (e.g. externalizing problems, difficulty developing peer relationships, and withdrawn behavior). Teachers’ own social and emotional competencies (e.g. fostering positive teacher–student relationships, and perspective taking) influenced the manner in which they responded to their students’ needs. Findings suggest that critical components may be lacking articulation in the McKinney-Vento Act’s Education for Homeless Children and Youth Program such as guidelines for teacher responsibilities, supports for teachers, and an emphasis not only on children’s academic but also social and emotional needs.     

Joint trajectories of behavioral,affective, and cognitive engagement in elementary school

The aim of the present study was to model student trajectories of behavioral, affective, and cognitive engagement from Grade 3 to Grade 6. The authors also examined whether teachers perceptions could predict student trajectory membership. The authors collected data from a sample of 831 students and 152 teachers. Using multiple-process growth mixture modeling, they identified 5 distinct trajectories of student engagement. Although a large majority of children presented a stable and high level of engagement on the three dimensions over time, more than one third of them showed a lower or changing level of engagement as the years progressed. These students were more likely to be boys and to be perceived by teachers as being less engaged. They also present more learning or behavioral problems and share less positive relationships with teachers. The results support the need to consider group-based differences when designing and adapting prevention and intervention strategies to favor student engagement.     

Stability of biases in self-evaluation and relations to well-being among elementary school children

This paper aims to investigate to what extent a bias in self-evaluation is an enduring characteristic among children, and whether there is a relationship between the trajectory of children's self-evaluation bias over a five-year period and their psychosocial adjustment. 462 children (200 boys) in Grade 3 (mean age = 8.6 years old) or Grade 4 (mean age = 9.7 years old) at the outset of the study participated following their parents’ written consent. The group-based approach using a multinomial modeling strategy allowed identifying five groups based on changes in the children's self-evaluation bias over the five-year period. Children in the stable and highly positive bias group stood out as having markedly more positive scores on all indices of psychosocial adjustment, and also outperformed the other children in achievement in language arts and math.     

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.     

Examining the reciprocal relations of mathematics anxiety to quantitative reasoning and number knowledge in Chinese children

This study aimed to examine the longitudinal relations of mathematics anxiety to quantitative reasoning and number knowledge in Chinese children. Three hundred and sixteen 6-year-old Chinese children in Hong Kong participated in two waves of assessments, eight months apart. Cross-lagged panel analyses showed that prior quantitative reasoning and number knowledge predicted lower mathematics anxiety, even after the effects of gender, mothers’ educational levels, and general anxiety were taken into account. However, earlier mathematics anxiety did not predict later quantitative reasoning and number knowledge. Our findings were consistent with the Deficit Theory, which postulates that mathematics anxiety comes from poor mathematical competence but not vice versa. We also found a reciprocal association between quantitative reasoning and number knowledge, in which initial quantitative reasoning had a stronger prediction on later number knowledge. Taken together with previous research, this result highlights the importance of quantitative reasoning in children’s mathematics learning and its role in mathematics education.     

Botany and environmental education in elementary school in Brazil: articulating knowledge,values, and procedures

Abstract

The increasing urbanization and alienation from nature reduce children’s opportunities to interact with plants and challenge teachers to devise educational practices that contribute to learning botany. This study presents the results of activities developed in a Brazilian school through explorations, drawings, dried and pressed specimens, and semi-structured interviews. The data were evaluated using mixed methods analysis. Leaves were the structure that was most frequently drawn by 1st- and 2nd-year students, followed by stems. Among students in their 3rd, 4th, and 5th years, more emphasis was on flowers and their detailed morphological structures. The 1st- and 2nd-year students included non-living elements and the surrounding environment in their drawings, whereas the older students focused on the plant itself. These particularities point to methods of teaching botany in context and link students’ specific knowledge to values and practices that contribute to an environmental education that aims to minimize the utilitarian view of nature and move towards a view of human beings as integrated and interdependent with other living and non-living elements.     

West Nile Virus: Using Adapted Primary Literature in Mathematical Biology to Teach Scientific and Mathematical Reasoning in High School

This paper promotes the use of adapted primary literature as a curriculum and instruction innovation for use in high school. Adapted primary literature is useful for promoting an understanding of scientific and mathematical reasoning and argument and for introducing modern science into the schools. We describe a prototype adapted from a published article on a mathematical model of the spread of the West Nile virus in North America. The prototype is available as a web-based resource that includes supplemental pedagogical units. Preliminary feedback from use of the prototype in two classrooms is described and a sketch of an ongoing formal evaluation is provided.