Modeling Change in Student Attitude Toward and Beliefs About Mathematics

Abstract

The authors used data from the Longitudinal Study of American Youth to investigate variables related to change in students' attitude toward and beliefs about mathematics in middle school and high school. Using hierarchical linear modeling techniques, the authors modeled variation in students' rate of change with variables associated with student characteristics, instructional experiences, and environment. They also identified variables that differentially affect change at different levels of secondary school (i.e., middle school vs. high school) and for different affective dimensions (i.e., attitude toward mathematics, beliefs about the social importance of mathematics, and beliefs about the nature of mathematics). Results showed a substantial negative change in students' attitudes toward and beliefs about the social importance of mathematics throughout secondary school. However, students' notions of the nature of mathematics did not change throughout secondary school. The authors identified variables related to change and found that they differed according to the level of secondary school and affective dimensions.     

Cognitive and Affective Outcomes in School Effectiveness Research

ABSTRACT

School effectiveness research has traditionally focused on basic cognitive pupil outcomes such as language and mathematics achievement. In this article however we address a research question that goes beyond this limited scope by studying both cognitive and affective outcomes of education in combination with each other. By looking at cognitive and affective outcomes at two different levels, i.e. school and the individual pupil, it is possible to make assertions about the relationship between the two outcome types at these levels. The main question in this study with respect to school effectiveness research is: ‘Can schools be both cognitive and affective effective?’

To answer this question a sample of 7,000 pupils in 212 primary schools in the Netherlands was used, providing information about cognitive, affective and pupil background variables. Firstly the relationship between affective and cognitive outcomes at pupil level is shown, using a LISREL model to show how these variables interact. Secondly the relative positions of schools with respect to their effectiveness in the cognitive and affective outcomes are compared in order to show the degree of consistency in the effectiveness of both outcome domains. These correlations appear to be small, but positive.     

Student,home, and school socio-demographic factors: links to school,home, and community arts participation

This study explored the role of student (e.g., age, language background, gender), home (e.g., parent/caregiver education), and school (e.g., school type, size) socio-demographic factors in students’ school (e.g., in-school arts tuition, arts engagement), home (e.g., parent/caregiver–child arts interaction), and community (e.g., arts attendance, arts tuition) arts participation. The sample comprised 1172 elementary and secondary school students from 15 schools. Findings revealed that student and home socio-demographic factors were the most salient in predicting arts participation across school, home, and community contexts. Age, gender, and prior achievement were the key student socio-demographic factors, while parent/caregiver education and occupation were also associated with students’ arts participation. Implications for practice and intervention pertinent to young people’s arts participation are discussed.     

PREDICTING (UNDER)ACHIEVEMENT OF GIFTED CHILDREN

Gifted children may perform worse or achieve much less than expected: how can this happen and how can such underachievement be prevented? To answer this question it is theorized that personal variables (e.g. identity, cognitive and motivational factors) and environmental variables (e.g. home and school) influence or interact with each other. The environmental variables may occur at different levels, e.g., the individual level or the group level Mutual influences or interactions between variables at different levels can be integrated within an interactional multilevel theory. A first example of such a theory is constructed with the aid of four consecutive developmental models. With a child's increasing age the number of variables in a model increases because of the child's growth in cognitive complexity and the accumulating differentiation in meaningful environmental levels and situations. With these models it is possible to explain a gifted child's underachievement in certain situations and its simultaneous high achievement in others. It is also possible to predict that by changing certain environmental characteristics underachievement can be turned into high achievement.     

The role of expressed emotions in online discussions

Abstract

We investigated relationships among expressed emotions, perceived motivation, perceived emotions, and three dependent variables (i.e., behavioral engagement, cognitive engagement, and student achievement) in the context of a blended online course. We defined “expressed emotions” as emotions detected by an affective computing tool in messages that students posted to online discussion forums in a blended undergraduate writing course. The results of two-step hierarchical multivariate regressions revealed that expressed emotions differentiated positive emotions from negative emotions better than perceived emotions did. Moreover, while no significant effect emerged for perceived motivation and perceived emotions, expressed fear was a significant predictor of student achievement (i.e., final score). Although affective computing is in its infancy, our findings suggest the potential use of expressed emotions for educational research and practice.     

Computer usage and cognitive capability of older adults: Analysis of data from the Health and Retirement Study

As America’s older population continues to grow, more individuals are experiencing cognitive decline in the United States. At the same time, we live in an age where technology has increasingly become an integral part of our daily lives. Although numerous studies have examined cognitive functions of older adults from a diverse range of perspectives, research on the relationship between the technology adoption and adult cognitive capacity has been limited. Using nationally representative data (n = 5,259) from the Health and Retirement Study (HRS), this study analyzed the effect of computer usage on the cognitive capabilities of individuals aged 50 and older in the United States. Findings show that computer use in older adults declines with age but rises for those with higher levels of education. Results also indicate that an increased use of computers is significantly associated with improved cognitive capability, when controlling for age, gender, and years of education. Further research is needed to better understand the patterns of technology adoption among older adults and assess its effects on their cognitive abilities.     

Use and factors associated with non-disclosure of complementary and alternative medicine among older adults

ABSTRACT

Complementary and alternative medicine (CAM) includes a wide variety of treatments including modalities that are ingestible (e.g., vitamins/minerals), mind/body (e.g., yoga), and physical (e.g., acupuncture). Disclosure of CAM to medical care providers is important for avoiding potential health risks. The aim of the study was to elucidate reasons for CAM nondisclosure to physicians among a population of older adults. A sequential exploratory mixed-methods design utilizing quantitative questionnaires and qualitative interviews was employed. Linear regression was performed to evaluate variables that may contribute to disclosure. Ninety older patients from two primary care clinics – including 12 who completed qualitative interviews were included in this study. Participants were significantly less likely to disclose ingestible types of CAM compared to physical (p < .01) and mind/body modalities (p < .03). Linear regression resulted in a model that explained 25% of the variance in disclosure of ingestible forms of CAM; age, doctor’s opinion of CAM, and participants’ with less concern of their health were significantly related to disclosing CAM use. Qualitative interviews suggested that individuals over 70 years of age with longer lasting chronic conditions were less likely to disclose CAM as compared with those aged 65–69 who tended to use CAM for episodic and preventative care. Rates of CAM disclosure among older adults may be dependent on the participant’s age, their experience with health, and expectations surrounding communication with their physician. Understanding patterns of CAM use can help guide age-appropriate conversations and limit possible adverse outcomes from non-disclosure.     

Affordances of Augmented Reality in Science Learning: Suggestions for Future Research

Augmented reality (AR) is currently considered as having potential for pedagogical applications. However, in science education, research regarding AR-aided learning is in its infancy. To understand how AR could help science learning, this review paper firstly has identified two major approaches of utilizing AR technology in science education, which are named as image-based AR and location-based AR. These approaches may result in different affordances for science learning. It is then found that students’ spatial ability, practical skills, and conceptual understanding are often afforded by image-based AR and location-based AR usually supports inquiry-based scientific activities. After examining what has been done in science learning with AR supports, several suggestions for future research are proposed. For example, more research is required to explore learning experience (e.g., motivation or cognitive load) and learner characteristics (e.g., spatial ability or perceived presence) involved in AR. Mixed methods of investigating learning process (e.g., a content analysis and a sequential analysis) and in-depth examination of user experience beyond usability (e.g., affective variables of esthetic pleasure or emotional fulfillment) should be considered. Combining image-based and location-based AR technology may bring new possibility for supporting science learning. Theories including mental models, spatial cognition, situated cognition, and social constructivist learning are suggested for the profitable uses of future AR research in science education.     

Infants in group care: Patterns of despair and detachment

Ninety nine infants were observed at entry into child care and at 3-month intervals during the first 6 months. We examined changes in relations among indices of adjustment and caregiver behaviors and which entry variables predict patterns of 6-month adjustment. Toy play shows no systematic relation with infant affective behavior at entry, yet 6 months later it is associated with positive affect and reduced social involvement. Caregiver interaction also changes; after 6 months expressive children receive more and different forms of attention than do nonexpressive children. Bowlby's (1969) account of institutionalized infants was used to identify different patterns of adjustment. Despair-like infants were distressed, immobilized, and self-soothing at entry. Infants who were detachment-like (i.e., object centered, happy, and socially unengaged after 6 months) received less attention from caregivers at entry. Some 6-month patterns have their roots in temperament dispositions, with differential outcomes determined largely by caregiver responsiveness.     

Demonstrating competence within one’s group or in relation to other groups: A person-oriented approach to studying achievement goals in small groups

Two studies investigated students’ adopted mastery and performance goals for group work, with an interest in exploring whether performance-approach goals functioned differently in small groups depending on whether the social comparison target resides outside the group (i.e., between-group comparison; performance-approach between group goals) or within the group (i.e., within-group comparison; performance-approach within goals). Using a person-oriented approach, six achievement goal profiles for group work were identified for middle school students in science (N_Study1 = 309) and upper elementary school students in mathematics (N_Study2 = 218). Some profiles included varying patterns of goal endorsement (e.g., high mastery goals, low performance-approach goals) while others reflected similar levels (high, medium, low) of goals. Across both studies, the six goal profiles were associated with varying patterns of group processes, cognitive engagement, and achievement. Most notably, students in profiles with high performance-approach within group goals had more detrimental outcomes, even when mastery goals were also strongly endorsed. In contrast, students in profiles with high mastery alone or in combination with high performance-approach between group goals had adaptive group process, cognitive engagement, and achievement outcomes. Implications for the conceptualization of performance-approach goals in small groups and cautions for fostering normative standards and intergroup competition when structuring group activities are discussed.     

Self-regulation and the income-achievement gap

The pervasive income-related achievement gap among children has been partially explained by parental investments. Wealthier parents provide more cognitively enriched environments (e.g., books, informal learning opportunities such as music lessons) and converse more with their children relative to low-income parents. However parental investment only partially accounts for the income-achievement gap. On average, low-income children have more difficulty regulating their emotions and behavior in comparison to their wealthier counterparts. Academic achievement is a function not only of cognitive competencies but also encompasses emotional and behavioral components that could also contribute to the income-achievement gap. In Study 1, family income among rural, White 9-year-olds is positively related to delay of gratification skill. This, in turn, accounts for subsequent, middle school grades at age 13. In Study 2, family income during early childhood (age 2 to Grade 3) in an ethnically diverse, national sample predicts cognitive development in 5th graders, controlling for prior levels of cognitive development at 15 months. This prospective, longitudinal relation is again mediated by delay of gratification skills. Evidence is also presented in Study 2 that the income → self-regulation → achievement path operates independently of parental investment. Analyses of both sets of data also include multiple indices of familial characteristics (e.g., maternal education, ethnicity, single-parent status). Early childhood poverty matters for later academic achievement but reasons encompass both cognitive and socioemotional processes.     

Quality of instruction and classroom learning outcomes: The German contribution to the IEA classroom environment study

Results of the German contribution to the Classroom Environment Study: Teaching for Learning are presented. The study explored instructional quality and classroom management factors as predictors of student cognitive and affective outcomes. Classrroms (N=39) were observed nine times with a low-inference observation instrument. Individual data on students' cognitive and affective characteristics, students' perceptions of instruction, self-reported attention, and observed time-on-task were aggregated, and the classroom was the unit of analysis. The data were analyzed with zero-order process-process and process-product correlations, multilevel analysis, communality analysis, and, as the focus of the study, causal modeling with the PLS (Partial Least Squares) technique. The causal model included, as latent variables, students' cognitive and affective entry characteristics, observed efficiency of management and quality of instruction, the student perceptions of these, students' observed time-on-task and self-reported attention, and affective and cognitive outcomes. As expected, student entry characteristics were of greatest importance for both affective and cognitive outcomes. A pattern of direct-instruction variables indicating efficient management, intensive use of time, and strong task orientation was positively related to student engagement and cognitive outcomes. Methodological questions associated with the multilevel character of the data and possible reasons for some unexpected results, for example, the nonsignificant role of instructional quality and of student engagement for cognitive outcomes, are discussed.     

Affective and Cognitive Responses to Poetry in the University Classroom

Abstract

In universities, as in mainstream education more widely, cognitive approaches to poetry are often dominant. Far from being irrelevant to the serious study of literature, we argue that eliciting students’ affective responses to poetry can deepen their cognitive understanding and analytical skills. Drawing on recent research in psychology on the relationship between cognition and affect, we show that poetry has particular potential to make us aware of the crucial interrelation of our cognitive and affective processes; and that bringing those responses into balance can deepen our understanding of poetry. Building on recent educational studies of typical student (and teacher) anxieties and assumptions about working with poetry, and on our observations from our own initial, exploratory seminars, we explore some of the obstacles to rebalancing the cognitive and affective dimensions of poetry in higher education, and point to the potential value of such an approach if such obstacles are overcome.     

Promoting the development of resilient academic functioning in maltreated children

This study examined (a) the extent of heterogeneity in the patterns of developmental trajectories of language development and academic functioning in children who have experienced maltreatment, (b) how maltreatment type (i.e., neglect or physical abuse) and timing of abuse explained variation in developmental trajectories, and (c) the extent to which individual protective factors (i.e., preschool attendance, prosocial skills), relationship protective factors (i.e., parental warmth, absence of past-year depressive episode, cognitive/verbal responsiveness) and community protective factors (i.e., neighborhood safety) promoted the development of resilient language/academic functioning trajectories. Longitudinal data analyses were conducted using cohort sequential Growth Mixture Model (CS-GMM) with a United States national representative sample of children reported to Child Protective Services (n = 1,776). Five distinct developmental trajectories from birth to age 10 were identified including two resilient groups. Children who were neglected during infancy/toddlerhood or physically abused during preschool age were more likely to be in the poorer language/academic functioning groups (decreasing/recovery/decreasing and high decreasing) than the resilient high stable group. Child prosocial skills, caregiver warmth, and caregiver cognitive stimulation significantly predicted membership in the two resilient academic functioning groups (low increasing and high stable), after controlling for demographics and child physical abuse and neglect. Results suggest that it is possible for a maltreated child to successfully achieve competent academic functioning, despite the early adversity, and identifies three possible avenues of intervention points. This study also makes a significant contribution to the field of child development research through the novel use of CS-GMM, which has implications for future longitudinal data collection methodology.     

Urban residence and higher education do not protect against cognitive decline in aging and dementia: 10-year follow-up of the Canadian Study of Health and Aging

The construct of cognitive reserve has primarily been defined in terms of a single proxy measure, education. There may, however, be alternative, potentially additive, proxy measures of cognitive reserve, such as rural or urban residence. Using a large sample of 10,263 older Canadians, ranging in age between 64 and 99 years (mean age = 75.7 years, SD = 7.1), residents of rural and urban areas were compared using the Modified Mini-Mental State (3MS) examination as a dependent variable. Within this sample, subsamples of demented and non-demented individuals were investigated. The 3MS data were analyzed using a linear mixed model with years of education and residence as proxies of cognitive reserve and time of testing (linear and quadratic) as a within-groups variable. All predictor variables in the model (i.e., gender, age, education, residence, and time of testing) had a significant impact on cognitive functioning. The results showed that, although urban residents and higher educated individuals performed better than rural residents and lower educated individuals at baseline, these performance benefits were nullified at 10-year follow-up. The disappearance of these initial performance benefits suggests that urban dwellers and higher educated individuals are not protected against age-related cognitive decline. Thus, no support was found for the cognitive reserve hypothesis.     

Attitude and behavior are correlates

Science attitude scales can be expected to predict science-related behavior. But A-B correspondence can seldom be expected to approach the r value of 1.00. Attitude and behavior covary to the degree that valid measurement and mediating variables are considered: Individual differences of subjects (e.g., high versus low self-monitoring); the social situation (e.g., direct experience); cognitive factors (e.g., attitude accessibility in memory). Attitude and behavior are reciprocal; that is, attitude can follow behavior. Variables other than attitude, e.g., behavioral intention, previous behavior, and habit, may under some conditions better predict behavior. Also, a viable alternative to attitude testing may be direct appraisal of some science classroom behaviors through ethnomethodology.     

Child-related cognitions and affective functioning of physically abusive and comparison parents

OBJECTIVE: The goal of this research was to utilize the cognitive behavioral model of abusive parenting to select and examine risk factors to illuminate the unique and combined influences of social cognitive and affective variables in predicting abuse group membership. METHODOLOGY: Participants included physically abusive parents (n=56) and a closely-matched group of comparison parents (n=62). Social cognitive risk variables measured were (a) parent's expectations for children's abilities and maturity, (b) parental attributions of intentionality of child misbehavior, and (c) parents' perceptions of their children's adjustment. Affective risk variables included (a) psychopathology and (b) parenting stress. A series of logistic regression models were constructed to test the individual, combined, and interactive effects of risk variables on abuse group membership. RESULTS: The full set of five risk variables was predictive of abuse status; however, not all variables were predictive when considered individually and interactions did not contribute significantly to prediction. A risk composite score computed for each parent based on the five risk variables significantly predicted abuse status. Wide individual differences in risk across the five variables were apparent within the sample of abusive parents. CONCLUSIONS: Findings were generally consistent with a cognitive behavioral model of abuse, with cognitive variables being more salient in predicting abuse status than affective factors. Results point to the importance of considering diversity in characteristics of abusive parents.     

Factors associated with caregiver stability in permanent placements: a classification tree approach

Objective

Identify individual and environmental variables associated with caregiver stability and instability for children in diverse permanent placement types (i.e., reunification, adoption, and long-term foster care/guardianship with relatives or non-relatives), following 5 or more months in out-of-home care prior to age 4 due to substantiated maltreatment.

Methods

Participants were 285 children from the Southwestern site of Longitudinal Studies of Child Abuse and Neglect (LONGSCAN). Caregiver instability was defined as a change in primary caregiver between ages 6 and 8 years. Classification and regression tree (CART) analysis was used to identify the strongest predictors of instability from multiple variables assessed at age 6 with caregiver and child reports within the domains of neighborhood/community characteristics, caregiving environment, caregiver characteristics, and child characteristics.

Results

One out of 7, or 14% of the 285 children experienced caregiver instability in their permanent placement between ages 6 and 8. The strongest predictor of stability was whether the child had been placed in adoptive care. However, for children who were not adopted, a number of contextual factors (e.g., father involvement, expressiveness within the family) and child characteristics (e.g., intellectual functioning, externalizing problem behaviors) predicted stability and instability of permanent placements.

Conclusions

Current findings suggest that a number of factors should be considered, in addition to placement type, if we are to understand what predicts caregiver stability and find stable permanent placements for children who have entered foster care. These factors include involvement of a father figure, family functioning, and child functioning.

Practice implications

Adoption was supported as a desired permanent placement in terms of stability, but results suggest that other placement types can also lead to stability. In fact, with attention to providing biological parents, relative, and non-relative caregivers with support and resources (e.g., emotional, financial, and optimizing father involvement or providing a stable adult figure) the likelihood that a child will have a stable caregiver may be increased.