Students’ Ability to Connect Function Properties to Different Types of Elementary Functions: An Empirical Study on the Role of External Representations

Recent research on the phenomenon of improper proportional reasoning focused on students’ understanding of elementary functions and their external representations. So far, the role of basic function properties in students’ concept images of functions remained unclear. We add to this research line by investigating how accurate students are in connecting functions to their corresponding properties and how this accuracy depends on function types and representations. A large group of 10th graders evaluated for different function types, represented in either a graphical, a formulaic, or a tabular mode, the correctness of statements about their general properties and behavior. Results show that students succeeded rather well in making the right connections between properties and functions. Errors depended not only on the type of function for which the properties were evaluated but also on the kind of representation in which the function was presented. These results highlight the importance of function properties in students’ concept images of functions and suggest positive effects of making these properties explicit to students.     

Searching for ‘a third space’: a creative pathway towards international PhD students’ academic acculturation

Undertaking a PhD is a challenging endeavour. Pursuing a doctoral education in a ‘foreign’ context tends to increase the demands of this intellectual venture. The nature of research-based PhD programmes, often characterised by a lack of formal curricula where academic supervision lasts several years, may add another layer of complexity. Drawing upon an extended version of Urie Bronfenbrenner's bio-ecological theory of human development, this paper attempts to offer a greater understanding of both academic and non-academic concerns confronting international PhD students with a view to highlighting their implications for institutional policy and practice. Underpinned by a visual metaphor approach, our research findings advocate embedding the use of ‘a third space’ as a creative pathway and strategy for maximising students’ chances of achieving a successful PhD academic acculturation journey.     

Beyond phonological skills: broader language skills contribute to the development of reading

This paper reports a study that followed the development of reading skills in 72 children from the age of 8.5 to 13 years. Each child was administered tests of reading, oral language, phonological skills and nonverbal ability at time 1 and their performance on tests of reading comprehension, word recognition, nonword decoding and exception word reading was assessed at time 2. In addition to phonological skills, three measures of non‐phonological oral language tapping vocabulary knowledge and listening comprehension were unique concurrent predictors of both reading comprehension and word recognition at time 1. Importantly, all three measures of oral language skill also contributed unique variance to individual differences in reading comprehension, word recognition and exception word reading four and a half years later, even when the autoregressive effects of early reading skill were controlled. Moreover, the extent to which a child's word recognition departed from the level predicted from their decoding ability correlated with their oral language skills. These findings suggest that children's oral language proficiency, as well as their phonological skills, influences the course of reading development.     

Do interim assessments reduce the race and SES achievement gaps?

The authors examined differential effects of interim assessments on minority and low socioeconomic status students' achievement in Grades K–6. They conducted a large-scale cluster randomized experiment in 2009–2010 to evaluate the impact of Indiana's policy initiative introducing interim assessments statewide. The authors used 2-level models to analyze the single-grade data and determine whether interim assessments interacted with student ethnicity, socioeconomic status, gender, or school composition (i.e., percent of minority or disadvantaged students). The authors also combined estimates across grades using fixed effects meta-analysis. Results indicated little evidence about differential effects. The majority of interaction estimates were insignificant and close to zero. There is some indication that in Grades K–2 Indiana's interim assessment may have closed the Hispanic–White gap in reading. In kindergarten and Grade 3 the treatment may have widened the gap between schools with higher and lower percentages of minority students and may have reduced the gap between schools with higher and lower percentages of economically disadvantaged students in mathematics.     

Developing Coherent Conceptual Storylines: Two Elementary Challenges

The ‘conceptual storyline’ of a lesson refers to the flow and sequencing of learning activities such that science concepts align and progress in ways that are instructionally meaningful to student learning of the concepts. Research demonstrates that when teachers apply lesson design strategies to create a coherent science content storyline, student learning is positively impacted (Roth et al., 2011). Because the conceptual storyline is often implicit within a lesson, and teachers often have difficulty articulating this aspect of lesson design (Lo et al., 2014), our professional development program engages elementary teachers in analyzing and developing graphic representations of a lesson’s conceptual storyline to make that element explicit. In this exploratory study, we present typologies that represent two primary challenges teachers faced in developing coherent conceptual storylines in their lesson design, and examine the extent to which professional development enhanced their capacity to develop a coherent conceptual storyline.     

The impact of inclusive education reforms on students with disability: an international comparison

ABSTRACT

When the Salamanca Statement called upon States to recognise the ‘necessity and urgency’ of providing students with a disability access to the regular education system (UNESCO 1994, viii), both Australia and the United States of America had existing legislative and policy documents articulating the rights of students with a disability to access regular education. Since that time both countries have clarified and amended their respective laws and policies, and signed the Convention on the Rights of Persons with Disabilities (UN 2006) which urges States to reallocate resourcing to inclusive education, and to reduce segregation. In this article, I examine the policy reforms in each country and analyse aggregated and disaggregated student placement data within each context to consider the impact of these reforms for different groups of students. Results show that the different reform journeys in each context produced different outcomes for students in each country, with segregation increasing in Australia and decreasing in the USA. The results also suggest that the impact of these policies has not been proportionate across categories as students on the Autism Spectrum are more likely to experience educational segregation or exclusion in both countries.     

Visual performance of adults with prelingual auditory impairment

Reaction times and picture evaluations by 18 adults with hearing loss were compared with those of 18 matched controls during two visual priming tasks. In Task 1, participants reacted to sexual and plant target pictures (while influenced by similar preceding pictures) by pressing "sex" or "plant" buttons. In Task 2, they evaluated target Japanese ideographs (while influenced by preceding positive or negative facial expressions as prime pictures) by pressing "positive" or "negative" buttons. In Task 1, the controls had the faster responses. In Task 2, they showed the usual congruent priming effect during very short prime presentations. Participants with hearing loss showed this effect only during short and long prime presentation times; thus, they were not superior to the controls in picture recognition, instead showing (a) impaired processing of visual information or (b) impaired perceptual-motor skills regarding quick responses to visual information (or both).     

Building Latent Class Growth Trees

Researchers use latent class growth (LCG) analysis to detect meaningful subpopulations that display different growth curves. However, especially when the number of classes required to obtain a good fit is large, interpretation of the encountered class-specific curves might not be straightforward. To overcome this problem, we propose an alternative way of performing LCG analysis, which we call LCG tree (LCGT) modeling. For this purpose, a recursive partitioning procedure similar to divisive hierarchical cluster analysis is used: Classes are split until a certain criterion indicates that the fit does not improve. The advantage of the LCGT approach compared to the standard LCG approach is that it gives a clear insight into how the latent classes are formed and how solutions with different numbers of classes relate. The practical use of the approach is illustrated using applications on drug use during adolescence and mood regulation during the day.     

The triangel (socio-therapeutical institute)

We have given a brief outline of the work which is being done at the Triangel. We do not pretend to present a report based on a scientific justification. The aid we give seems to be better described as “the arm around the shoulder of someone in distress” than by the use of precise scientific terms. The common, natural reaction to a disturbed person is a spontaneous gesture of help. We should not try to classify him, or to adopt an attitude of cool scientific interest. The natural, instinctive approach seems to us the most obviously supportive and in this respect the Triangel would seem to serve as a model for all assistance agencies.     

Quality of infants' attachments to professional caregivers: relation to infant-parent attachment and day-care characteristics

75 infants (mean age 15 months) were observed 3 times in the Strange Situation with their professional caregivers, mothers, and fathers. Sensitivity of these attachment figures to the infant's signals during free play, as well as a number of day-care characteristics, were assessed. Attachment classification distribution of infant-caregiver dyads did not differ significantly from infant-mother or infant-father attachment classification distributions. The quality of infant-caregiver attachment was independent of both infant-mother and infant-father attachments. About 10% of the infants had 3 insecure attachments. Professional caregivers observed with more than 1 infant did not have similar types of attachment classifications to all infants with whom they were observed. Infants who were securely attached to their professional caregivers spent more hours per week in day-care, and came from a middle-class background. Their caregivers appeared to be younger and more sensitive during free play than caregivers with whom the infants developed an insecure relationship.