Not Your Usual Maths Course: critical mathematics education for adults

This article describes an action research project that investigated which features of critical theory were useful for teaching everyday mathematics in an evening course for adults. Paulo Freire's philosophy of education and Jürgen Habermas’ theory of knowledge interests are among the main influences on exponents of critical mathematics education such as Ole Skovsmose and Marilyn Frankenstein. Through the use of dialogical processes and critical reflection, students engage in social and political issues in their lives or communities and, as a result of their increased consciousness and mathematical learning, take “transforming action”. This study highlights the value of learning in a positive environment, through dialogical processes and critical questioning. Participants of the study were able to overcome barriers to learning mathematics; engage in everyday issues involving mathematics; and make changes to the way they dealt with mathematics, as a result of increased critical consciousness.     

Temperamental Emotionality Attributes as Antecedents of Children's Social Information Processing

This study examined temperament dimensions of emotion as precursors of children's social information processing (SIP) of stressful peer events. Two hundred and forty-three preschool children (M = 4.60 years) and their primary caregivers participated in two measurement occasions spaced 2 years apart. Observations of temperamental anger, fearful distress, positive affect, and effortful control were assessed in multiple laboratory tasks across two visits at Wave 1. SIP assessments from vignettes of peer challenges were repeated across two waves and included: eye tracking measures of attention to peer emotion displays, hostile attribution bias, hostile solutions, and subjective distress. Findings from structural equation models with inclusion of autoregressive controls indicated that effortful control, fear, and anger predicted subsequent changes in specific SIP dimensions.     

Building strong foundations for educational achievement: Language assessments in early childhood education for deaf and hard of hearing children

It is widely accepted that assessment plays a role in monitoring the development of young children with special needs in early intervention/early childhood settings. The process of assessing young children's language skills often looks for delays within a solid language foundation. However, many children who are deaf or hard of hearing (DHH) may not have a solid language foundation to assess, leading to inaccurate assessment. When we reframe how we assess language skills in children who are DHH, we ensure the assessment provides a comprehensive picture of the child's language development. It is important to modify language assessment tools where necessary while ensuring the assessment stays reliable and valid. It is critical to use multiple assessment tools to monitor the child's progress, including standardized assessments and assessment tools normed for DHH populations. Finally, it is crucial to monitor the child's skills in each language that they are using, regardless of which language is used most often. We explain why each of these factors needs to be considered in the assessment of young children who are DHH, will discuss the challenges of assessing this population, and will provide solutions to some of the challenges of assessing language skills in of young children who are DHH.     

Improving document clustering in a learned concept space

Most document clustering algorithms operate in a high dimensional bag-of-words space. The inherent presence of noise in such representation obviously degrades the performance of most of these approaches. In this paper we investigate an unsupervised dimensionality reduction technique for document clustering. This technique is based upon the assumption that terms co-occurring in the same context with the same frequencies are semantically related. On the basis of this assumption we first find term clusters using a classification version of the EM algorithm. Documents are then represented in the space of these term clusters and a multinomial mixture model (MM) is used to build document clusters. We empirically show on four document collections, Reuters-21578, Reuters RCV2-French, 20Newsgroups and WebKB, that this new text representation noticeably increases the performance of the MM model. By relating the proposed approach to the Probabilistic Latent Semantic Analysis (PLSA) model we further propose an extension of the latter in which an extra latent variable allows the model to co-cluster documents and terms simultaneously. We show on these four datasets that the proposed extended version of the PLSA model produces statistically significant improvements with respect to two clustering measures over all variants of the original PLSA and the MM models.     

MBA,上还是不上？

If you＇re thinking of getting an MBA, you＇re not alone. According to the MBA Association, more than 100,000 new MBAs enter the work force every year.     

A History of Infant Feeding

The historical evolution of infant feeding includes wet nursing, the feeding bottle, and formula use. Before the invention of bottles and formula, wet nursing was the safest and most common alternative to the natural mother''s breastmilk. Society''s negative view of wet nursing, combined with improvements of the feeding bottle, the availability of animal''s milk, and advances in formula development, gradually led to the substitution of artificial feeding for wet nursing. In addition, the advertising and safety of formula products increased their popularity and use among society. Currently, infant formula-feeding is widely practiced in the United States and appears to contribute to the development of several common childhood illnesses, including atopy, diabetes mellitus, and childhood obesity.     

Pigeons’ memory for time: Assessment of the role of subjective shortening in the duration-comparison procedure

Pigeons were trained in a duration-comparison procedure to peck one key if the comparison duration (c) was 1 sec shorter than a standard duration (s), and another key if c was 1 sec longer than s. During training, the s-c delay was 1 sec, and the total duration of an s-c pair was not predictive of the correct choice. In Experiment 1, during equal-duration pair test trials, pigeons increasingly responded long (i.e., c τ s) as the s-c delay was lengthened. In Experiment 2, we demonstrated that s affected long responding on equal-duration test trials, even at the 8-sec s-c delay. In Experiment 3, long responding increased as the s-c delay was lengthened, even when stimulus conditions during the s-c delay differed from those during the intertrial interval (ITI). Additional analyses indicated that it was unlikely that the increase in long responding was due to the pigeons’ adding the s-c delay to c and comparing the total against the duration of s. The increase in long responding with an increase in s-c delay is more consistent with subjective shortening of s than with confusion between the s-c delay and the ITI.     

Non-accidental head injury in New Zealand: The outcome of referral to statutory authorities

ObjectivesTo describe the outcome of referral to the statutory authorities for infants under 2 years with non-accidental head injury (NAHI), and to establish whether the authorities held sufficient information to develop a risk profile for these cases.MethodsRetrospective review of cases admitted to hospital in Auckland, New Zealand from 1988 to 1998. Records from the hospital admission, child protective services and Police were reviewed, up to 19 years from diagnosis.ResultsOf 39 infants, 33 survived to leave hospital. Documentation of risk factors was erratic, and sometimes incongruent between agencies. Inter-agency case conferences took place in 17/39 (44%). The Department of Child, Youth and Family Services (CYF) used an informal family agreement to secure safety in 15/33 survivors (45%). Family Group Conferences occurred in 17/33 (52%). Nine of 33 were placed permanently outside the home (27%), two (6%) with unrelated caregivers. Charges were laid in 18/39 cases (46%). Fifteen cases came to trial, with 14 convictions (36%). Of the survivors, 44% were later renotified to CYF. There was no obvious relationship between type of intervention and re-notification.ConclusionsEnsuring the safety of an infant with NAHI, and identifying and taking appropriate action with regard to the offender, are complex tasks. In New Zealand, data collection is often incomplete and inter-agency practice and collaboration is variable. Although the rate of prosecution was relatively high by international standards, many children were later notified again for further concerns of abuse or neglect, suggesting that our interventions have been only partially successful.Practice implicationsThis paper suggests that all infants admitted to hospital with non-accidental head injury should become part of a prospective inter-agency research study, using a standardised data collection instrument. This should include the systematic collection of all data known or suspected to be associated with risk of child abuse, and incorporate long-term prospective follow-up, regardless of child protective or legal outcomes. Without large numbers followed prospectively and according to sound methodology, it is difficult to prove which forms of intervention are better than others at reducing the risk of further abuse.     

Strategies for using feedback students bring to higher education

This article explores strategies for acting on feedback that students bring to their higher education, by exploring student perceptions on the guidance they received from their teachers in school or college. Whilst assessment issues have been the subject of a range of research studies, it is the contention of this article that little research has been undertaken to identify the strategies that students possess for ‘using’ feedback. This small‐scale research study was stimulated by M.R. Weaver’s 2006 Weaver, M.R. 2006. Do students value feedback? Student perceptions of tutors’ written response. Assessment and Evaluation in Higher Education, 31(3): 379–394. [Taylor & Francis Online] [Google Scholar] finding that only a quarter of students had received guidance on how to use feedback prior to university. This exploration identifies the guidance for using feedback that 350 students in Humanities brought to their degree course. Analysis of responses revealed the strategies that students had been introduced to, identifying nine indigenous categories. Whilst almost 40% of these students indicated they had received guidance for using feedback, scrutiny of responses showed that many of these students confused ‘actual feedback’ with ‘guidance on how to use’ feedback. The implications of such starting positions for students and staff are considered: questioning the adequacy of such a foundation for students to be able to make effective use of the feedback they will receive in their degree course, and finally suggesting initiatives by which staff could enable students to get more out of feedback.     

Effects of school choice on the margin: The cream is already skimmed

Critics of school choice argue that cream-skimming will worsen outcomes for those left behind in public schools. Since “high ability” families may have already sorted themselves out of the schools in question, this paper will examine whether existing within-school heterogeneity leaves any scope for cream-skimming to operate. It asks, “given the current level of within-school heterogeneity, how strong would peer effects have to be to significantly worsen outcomes for those left behind?” In order for cream-skimming to lower math test scores by one half-year's progress, the peer effect would have to be as strong as increasing class sizes by 8–20 students, or cutting per-student funding by $400–2000. These results indicate that current levels of within-school heterogeneity are so low that peer effects would have to be unrealistically strong to give cream-skimming any bite.