Integrating concrete and virtual materials in an elementary mathematics classroom : a case study of success with fractions

This paper describes an approach to introducing fraction concepts using generic software tools such as Microsoft Office's PowerPoint to create "virtual" materials for mathematics teaching and learning. This approach replicates existing concrete materials and integrates virtual materials with current non-computer methods of teaching primary students about fractions. The paper reports a case study of a 12-year-old student, Frank, who had an extremely limited understanding of fractions. Frank also lacked motivation for learning mathematics in general and interacted with his peers in a negative way during mathematics lessons. In just one classroom session involving the seamless integration of off-computer and on-computer activities, Frank acquired a basic understanding of simple common equivalent fractions. Further, he was observed as the session progressed to be an enthusiastic learner who offered to share his learning with his peers. The study's "virtual replication" approach for fractions involves the manipulation of concrete materials (folding paper regions) alongside the manipulation of their virtual equivalent (shading screen regions). As researchers have pointed out, the emergence of new technologies does not mean old technologies become redundant. Learning technologies have not replaced print and oral language or basic mathematical understanding. Instead, they are modifying, reshaping, and blending the ways in which humankind speaks, reads, writes, and works mathematically. Constructivist theories of learning and teaching argue that mathematics understanding is developed from concrete to pictorial to abstract and that, ultimately, mathematics learning and teaching is about refinement and expression of ideas and concepts. Therefore, by seamlessly integrating the use of concrete materials and virtual materials generated by computer software applications, an opportunity arises to enhance the teaching and learning value of both materials.

Gender differences in children's classroom behaviour and teacher-child relationships in early childhood: An Australian Study

Background: In the early school years, children need positive attitudes to school and experiences that promote academic and social competence. Positive relationships between children and teachers make a significant contribution to school achievement and social competence. Girls are more likely to display positive classroom behaviours and positive approaches to learning than boys. Gender differences have also been noted in teacher-child relationships. This study investigated the relationship between gender differences in classroom behaviour and gender differences in teacher-child relationships in the early years. Method: Data were drawn from The Longitudinal Study of Australian Children (LSAC). LSAC is a cross-sequential cohort study funded by the Australian Government. In these analyses, Wave 1 (2004) and Wave 2 (2006) data for 4464 children in the Kindergarten Cohort were used. Children, at Wave 2, were in the early years of formal school. They had a mean age of 6.8 years (SD= 0.24). Measures included a 6-item measure of Approaches to Learning (task persistence, independence) and teacher ratings on the SDQ. Teachers rated their relationships with children on the short form of the STRS. Results: Girls were found to have more positive relationships with their teachers and to display more positive classroom behaviours than boys. Teachers described their relationships with boys as less close than their relationships with girls and rated girls as displaying more positive approaches to learning and fewer problem behaviours than boys. Positive teacher – child relationships were significantly related to more positive classroom behaviours. The quality of the teacher-child relationship at time 1 (Wave 1) was the best predictor of the quality of the teacher-child relationship at time 2 (Wave 2). Conclusions: Findings highlight the importance of developing positive learning related classroom behaviours in understanding successful school transition and the key role played by early positive teacher-child relationships in promoting school adjustment.

How well are Australian children doing in the first year of school : a demographic analysis

Background: The transition to school is a sensitive period for children in relation to school success. In the early school years, children need to develop positive attitudes to school and have experiences that promote academic, behavioural and social competence. When children begin school there are higher expectations of responsibility and independence and in the year one class, there are more explicit academic goals for literacy and numeracy and more formal instruction. Most importantly, children’s early attitudes to learning and learning styles have an impact on later educational outcomes. Method: Data were drawn from The Longitudinal Study of Australian Children (LSAC). LSAC is a cross-sequential cohort study funded by the Australian Government. In these analyses, Wave 2 (2006) data for 2499 children in the Kindergarten Cohort were used. Children, at Wave 2, were in the first year of formal school. They had a mean age of 6.9 years (SD= 0.26). Measures included a 6-item measure of Approaches to Learning (task persistence, independence) and the Academic Rating Scales for language and literacy and mathematical thinking. Teachers rated their relationships with children on the short form of the STRS. Results: Girls were rated by their teachers as doing better than boys on Language and literacy, Approaches to learning; and they had a better relationship with their teacher. Children from an Aboriginal or Torres Strait Island (ATSI) background were rated as doing less well on Language and Literacy and Mathematical thinking and on their Approaches to learning. Children from high Socio Economic Position families are doing better on teacher rated Language and Literacy, Mathematical thinking, Approaches to learning and they had a better relationship with their teacher. Conclusions: Findings highlight the importance of key demographic variables in understanding children’s early school success.

How well are Australian children doing in the first year of school?

Background: The transition to school is a sensitive period for children in relation to school success. In the early school years, children need to develop positive attitudes to school and have experiences that promote academic, behavioural and social competence. When children begin school there are higher expectations of responsibility and independence and in the year one class, there are more explicit academic goals for literacy and numeracy and more formal instruction. Most importantly, children’s early attitudes to learning and learning styles have an impact on later educational outcomes. Method: Data were drawn from The Longitudinal Study of Australian Children (LSAC). LSAC is a cross-sequential cohort study funded by the Australian Government. In these analyses, Wave 2 (2006) data for 2499 children in the Kindergarten Cohort were used. Children, at Wave 2, were in the first year of formal school. They had a mean age of 6.9 years (SD= 0.26). Measures included a 6-item measure of Approaches to Learning (task persistence, independence) and the Academic Rating Scales for language and literacy and mathematical thinking. Teachers rated their relationships with children on the short form of the STRS. Results: Girls were rated by their teachers as doing better than boys on Language and literacy, Approaches to learning; and they had a better relationship with their teacher. Children from an Aboriginal or Torres Strait Island (ATSI) background were rated as doing less well on Language and Literacy and Mathematical thinking and on their Approaches to learning. Children from high Socio Economic Position families are doing better on teacher rated Language and Literacy, Mathematical thinking, Approaches to learning and they had a better relationship with their teacher. Conclusions: Findings highlight the importance of key demographic variables in understanding children’s early school success.

Global outsourcing, production and logistics

Supply chains are the core of most industrial networks in which your business operates. They provide the pipeline through which the products and services flow from supplier to customer across each element within the business activity system. Global supply chain relationships have become the basis for many industries with an international network of firms engaged in the supply of goods and services that must be produced to quality standards in one country and delivered just-in-time for assembly or integration into further production processes in another country, frequently many thousands of miles apart. This topic examines the nature of supply chain management and their role in strategic networking. The previous learning tasks have focused on having the correct internal mechanism to effectively manage the inputs and outputs of the organisation by implementing an effective and transparent management system. This learning task takes a look at how management intent strategy and innovation are used to measure the external factors that influence the overall performance of the organisation and develop new strategies by understanding the business cycle and the people within your market environment.

Lecturing for non-law background students: Assessing the cognitive load of case and legislation-based lecturing approaches

Lecturing is a traditional method for teaching in discipline-based teaching environments and its success in legal discipline depends upon its alignment with learner backgrounds, learning objectives and the lecturing approaches utilised in the classes. In a situation where students do not have any prior knowledge of the given discipline that requires a particular lecturing approach, a mismatch in such an alignment would place learner knowledge acquisition into a challenging situation. From this perspective, this study tests the suitability of two dominant lecturing approaches—the case and the law-based lecturing approaches. It finds that a lecturer should put more emphasis on the case-based approach while lecturing to non-law background business students at the postgraduate level, provided that such an emphasis should be relative to the cognitive ability of the students and their motivation for learning law units.

A linear programming approach for estimating the structure of a sparse linear genetic network from transcript profiling data

Background: A genetic network can be represented as a directed graph in which a node corresponds to a gene and a directed edge specifies the direction of influence of one gene on another. The reconstruction of such networks from transcript profiling data remains an important yet challenging endeavor. A transcript profile specifies the abundances of many genes in a biological sample of interest. Prevailing strategies for learning the structure of a genetic network from high-dimensional transcript profiling data assume sparsity and linearity. Many methods consider relatively small directed graphs, inferring graphs with up to a few hundred nodes. This work examines large undirected graphs representations of genetic networks, graphs with many thousands of nodes where an undirected edge between two nodes does not indicate the direction of influence, and the problem of estimating the structure of such a sparse linear genetic network (SLGN) from transcript profiling data. Results: The structure learning task is cast as a sparse linear regression problem which is then posed as a LASSO (l1-constrained fitting) problem and solved finally by formulating a Linear Program (LP). A bound on the Generalization Error of this approach is given in terms of the Leave-One-Out Error. The accuracy and utility of LP-SLGNs is assessed quantitatively and qualitatively using simulated and real data. The Dialogue for Reverse Engineering Assessments and Methods (DREAM) initiative provides gold standard data sets and evaluation metrics that enable and facilitate the comparison of algorithms for deducing the structure of networks. The structures of LP-SLGNs estimated from the INSILICO1, INSILICO2 and INSILICO3 simulated DREAM2 data sets are comparable to those proposed by the first and/or second ranked teams in the DREAM2 competition. The structures of LP-SLGNs estimated from two published Saccharomyces cerevisae cell cycle transcript profiling data sets capture known regulatory associations. In each S. cerevisiae LP-SLGN, the number of nodes with a particular degree follows an approximate power law suggesting that its degree distributions is similar to that observed in real-world networks. Inspection of these LP-SLGNs suggests biological hypotheses amenable to experimental verification. Conclusion: A statistically robust and computationally efficient LP-based method for estimating the topology of a large sparse undirected graph from high-dimensional data yields representations of genetic networks that are biologically plausible and useful abstractions of the structures of real genetic networks. Analysis of the statistical and topological properties of learned LP-SLGNs may have practical value; for example, genes with high random walk betweenness, a measure of the centrality of a node in a graph, are good candidates for intervention studies and hence integrated computational – experimental investigations designed to infer more realistic and sophisticated probabilistic directed graphical model representations of genetic networks. The LP-based solutions of the sparse linear regression problem described here may provide a method for learning the structure of transcription factor networks from transcript profiling and transcription factor binding motif data.

Suhteessa kohteeseen ja suhteessa toisiin : Oppiminen ja vuorovaikutus opettajaopiskelijoiden suunnittelutapaamisessa

Objectives. In this research I analyzed the learning process of teacher students in a planning meeting using the expansive learning cycle and types of interaction approaches. In activity theory framework the expansive learning cycle has been applied widely in analyzing learning processes taking several years. However, few studies exist utilizing expansive cycles in analyzing short single meetings. In the activity theory framework talk and interaction have been analyzed using following types of interaction: coordination, cooperation and communication. In these studies single interaction situations have been analyzed, in which the status and power positions of participants has been very different. Interactions of self-directed teams, in which the participants are equal, have been examined very little. I am not aware of any studies, in which both learning actions of the expansive cycle and types of interaction by analyzing the same data would have been utilized. The aim of my study was to describe the process of collaborative innovative learning in a situation where the student group tries to accomplish a broad and ill-defined learning task. I aim to describe, how this planning process proceeds through different phases of learning actions of the expansive cycle. My goal is to understand and describe the transformations in the quality of interaction and transitions which are related to it. Another goal of this study is to specify the possible similarities and differences between expansive learning and types of interactions. Methods. Data of this study consisted of videotaped meetings, which were part of the study module for class teacher degree. The first meeting of the study module was chosen to be the primary research material. Five students were present in the group meeting. Transcription of the conversation was analyzed by classifying the turns of conversation following phases of the expansive cycle. After that the material was categorized again by using types of interaction. Results and conclusions. As a result of this study I was able to trace all the phases of the expansive cycle except one. Also, I was able to identify all interaction types. When I compared the two modes of analysis side by side I was able to find connecting main phases. Thus I was able to identify the interdependence between the two ways of analysis on a higher level, although I was not able to notice correlation on the level of individual phases. Based on this, I conclude that learning of the group was simultaneously specification and formulation of the object at the different phases of expansive learning and transformation of the quality of the interaction while searching for the common object.

Reactions to changes in work control: Implications for self-determined and non-self-determined individuals

We investigate the extent to which individuals’ global motivation (self-determined and non-self-determined types) influences adjustment (anxiety, positive reappraisal) and engagement (intrinsic motivation, task performance) in reaction to changes to the level of work control available during a work simulation. Participants (N = 156) completed 2 trials of an inbox activity under conditions of low or high work control—with the ordering of these levels varied to create an increase, decrease, or no change in work control. In support of the hypotheses, results revealed that for more self-determined individuals, high work control led to the increased use of positive reappraisal. Follow-up moderated mediation analyses revealed that the increases in positive reappraisal observed for self-determined individuals in the conditions in which work control was high by Trial 2 consequently increased their intrinsic motivation toward the task. For more non-self-determined individuals, high work control (as well as changes in work control) led to elevated anxiety. Follow-up moderated mediation analyses revealed that the increases in anxiety observed for non-self-determined individuals in the high-to-high work control condition consequently reduced their task performance. It is concluded that adjustment to a demanding work task depends on a fit between individuals’ global motivation and the work control available, which has consequences for engagement with demanding work.

Very Low Birth Weight Infants as Young Adults : Focus on aspects of cognition, behavior and sleep

Major advances in the treatment of preterm infants have occurred during the last three decades. Survival rates have increased, and the first generations of preterm infants born at very low birth weight (VLBW; less than 1500 g) who profited from modern neonatal intensive care are now in young adulthood. The literature shows that VLBW children achieve on average lower scores on cognitive tests, even after exclusion of individuals with obvious neurosensory deficits. Evidence also exists for an increased risk in VLBW children for various neuropsychiatric disorders such as attention-deficit hyperactivity disorder (ADHD) and related behavioral symptoms. Up till now, studies extending into adulthood are sparse, and it remains to be seen whether these problems persist into adulthood. The aim of this thesis was to study ADHD-related symptoms and cognitive and executive functioning in young adults born at VLBW. In addition, we aimed to study sleep disturbances, known to adversely affect both cognition and attention. We hypothesized that preterm birth at VLBW interferes with early brain development in a way that alters the neuropsychological phenotype; this may manifest itself as ADHD symptoms and impaired cognitive abilities in young adulthood. In this cohort study from a geographically defined region, we studied 166 VLBW adults and 172 term-born controls born from 1978 through 1985. At ages 18 to 27 years, the study participants took part in a clinic study during which their physical and psychological health was assessed in detail. Three years later, 213 of these individuals participated in a follow-up. The current study is part of a larger research project (The Helsinki Study of Very Low Birth Weight Adults), and the measurements of interest for this particular study include the following: 1) The Adult Problem Questionnaire (APQ), a self-rating scale of ADHD-related symptoms in adults; 2) A computerized cognitive test battery designed for population studies (CogState®) which measures core cognitive abilities such as reaction time, working memory, and visual learning; 3) Sleep assessment by actigraphy, the Basic Nordic Sleep Questionnaire, and the Morningness-Eveningness Questionnaire. Actigraphs are wrist-worn accelerometers that separate sleep from wakefulness by registering body movements. Contrary to expectations, VLBW adults as a group reported no more ADHD-related behavioral symptoms than did controls. Further subdivision of the VLBW group into SGA (small for gestational age) and AGA (appropriate for gestational age) subgroups, however, revealed more symptoms on ADHD subscales pertaining to executive dysfunction and emotional instability among those born SGA. Thus, it seems that intrauterine growth retardation (for which SGA served as a proxy) is a more essential predictor for self-perceived ADHD symptoms in adulthood than is VLBW birth as such. In line with observations from other cohorts, the VLBW adults reported less risk-taking behavior in terms of substance use (alcohol, smoking, and recreational drugs), a finding reassuring for the VLBW individuals and their families. On the cognitive test, VLBW adults free from neurosensory deficits had longer reaction times than did term-born peers on all tasks included in the test battery, and lower accuracy on the learning task, with no discernible effect of SGA status over and above the effect of VLBW. Altogether, on a group level, even high-functioning VLBW adults show subtle deficits in psychomotor processing speed, visual working memory, and learning abilities. The sleep studies provided no evidence for differences in sleep quality or duration between the two groups. The VLBW adults were, however, at more than two-fold higher risk for sleep-disordered breathing (in terms of chronic snoring). Given the link between sleep-disordered breathing and health sequelae, these results suggest that VLBW individuals may benefit from an increased awareness among clinicians of this potential problem area. An unexpected finding from the sleep studies was the suggestion of an advanced sleep phase: The VLBW adults went to bed earlier according to the actigraphy registrations and also reported earlier wake-up times on the questionnaire. In further study of this issue in conjunction with the follow-up three years later, the VLBW group reported higher levels of morningness propensity, further corroborating the preliminary findings of an advanced sleep phase. Although the clinical implications are not entirely clear, the issue may be worth further study, since circadian rhythms are closely related to health and well-being. In sum, we believe that increased understanding of long-term outcomes after VLBW, and identification of areas and subgroups that are particularly vulnerable, will allow earlier recognition of potential problems and ultimately lead to improved prevention strategies.

Clima motivacional de clase : en búsqueda de matices

Resumen: Estudiar la motivación para el aprendizaje requiere la consideración de lo que sucede en las interacciones que se producen en el aula y en el contexto escolar. Presentamos los antecedentes del constructo de clima motivacional de clase y los desarrollos de modelos que pretendieron conceptualizarlo en relación con el clima social o con teorías de orientación a meta. Ofrecemos una propuesta de estudio en búsqueda de matices, a partir de la convergencia metodológica de entrevistas en profundidad con un nuevo modelo de cuestionario

Las tecnologías de la información y comunicación en la enseñanza universitaria : influencia sobre la motivación, el autoaprendizaje y la participación activa del alumno

[Es] Este estudio analiza la opinión de los alumnos de diferentes licenciaturas sobre la utilidad didáctica de las tecnologías de la información y comunicación (TICs) en la universidad. Se utilizaron páginas web y el correo electrónico para facilitar diferentes herramientas educativas (guiones docentes, artículos, páginas web, trabajos prácticos y bibliografía). Los análisis univariante y multivariante de los datos obtenidos de las encuestas realizadas a los estudiantes al inicio y final de la asignatura, demuestran que, con independencia de la titulación, el 64% del alumnado considera que la utilización de las TICs mejora la comunicación alumno – profesor, e incrementa la motivación y la participación activa del estudiante.

Colchester Institute: Virtual bricklaying lays the foundations for the future

Brickwork Lecturer Chris Holland has created a resource that allows students to lay bricks on a computer screen. The former bricklayer has used the ActivInspire suite on the Promethean interactive whiteboard to draw various types of bricks, as well as other interactive tools from the building site. Students are now more engaged in the classroom as they can practise cavity walling, block work, and setting walls on foundation before they get out in the workplace. Learners using the resource range from 14–16-year-old school students and full-time 16–19-year-olds completing Diplomas in brickwork to apprentices completing NVQs.

A emergência da competência oral como sistema dinâmico, adaptativo e complexo no ensino-aprendizagem de inglês como língua adicional para iniciantes

No âmbito do ensino-aprendizagem de línguas adicionais, pesquisas acerca do desenvolvimento da oralidade têm demonstrado que se trata de um fenômeno multidimensional. Nakatani (2010) mostrou que o domínio de estratégias comunicacionais são indicadores de desempenho linguístico e se relacionam com a proficiência do aprendiz; Kang, Rubin e Pickering (2010) observaram que os traços fonológicos afetam a percepção sobre inteligibilidade e proficiência; Hewitt e Stephenson (2011), e Ahmadian (2012) indicaram que as condições psicológicas individuais interferem na qualidade da produção oral. Escribano (2004) sugeriu que a referência contextual é essencial na construção de sentido; Gao (2011) apontou os benefícios do ensino baseado na construção do sentido, a partir de metáforas conceptuais (LAKOFF e JOHNSON, 1980), codificação dupla (CLARK e PAIVIO, 1991) e esquemas imagéticos (LAKOFF, 1987); e Ellis e Ferreira-Junior (2009) demonstraram que as construções exibem efeitos de recência e priming, afetando o uso da linguagem dos parceiros interacionais. Tais estudos apontam para a natureza complexa da aquisição de L2, mas o fazem dentro do paradigma experimental da psicolinguística. Já Larsen-Freeman (2006), demonstra que a fluência, a precisão e a complexidade desenvolvem-se com o tempo, com alto grau de variabilidade, dentro do paradigma da Teoria da Complexidade. Em viés semelhante, Paiva (2011) observa que os sistemas de Aquisição de Segunda Língua (ASL) são auto-organizáveis. Esses trabalhos, no entanto, não abordaram aprendizes de L2 com proficiência inicial, como pretendo fazer aqui. Tendo como referenciais teóricos a Teoria da Complexidade e a Linguística Cognitiva, o presente trabalho apresenta um estudo de caso, qualitativo-interpretativista, com nuances quantitativos, que discute os processos de adaptação que emergiram na expressão oral de um grupo de aprendizes iniciantes de inglês como língua adicional no contexto vocacional. Parte do entendimento de que na sala de aula vários (sub)sistemas complexos coocorrem, covariando e coadaptando-se em diferentes níveis. A investigação contou com dados transcritos de três avaliações coletados ao longo de 28 horas de aula, no domínio ENTREVISTA DE EMPREGO. Após observar a produção oral das aprendizes, criei uma taxonomia para categorizar as adaptações que ocorreram na sintaxe, semântica, fonologia e pragmática da língua-alvo. Posteriormente organizei as categorias em níveis de prototipicidade (ROSCH et al, 1976) de acordo com as adaptações mais frequentes. Finalmente, avaliei a inteligibilidade de cada elocução, classificando-as em três níveis. A partir desses dados, descrevi como a prática oral dessas participantes emergiu e se desenvolveu ao longo das 28 horas. Os achados comprovam uma das premissas da Linguística Cognitiva ao mostrarem que os níveis de descrição linguística funcionam conjuntamente em prol do sucesso comunicacional. Além disso, demonstram que a função do professor, como discutem LARSEN-FREEMAN e CAMERON (2008), não é gerar uniformidade, mas sim oportunizar vivências que estabeleçam continuidade entre o mundo, o corpo e a mente

Discriminating languages in bilingual contexts: the impact of orthographic markedness

Does language-specific orthography help language detection and lexical access in naturalistic bilingual contexts? This study investigates how L2 orthotactic properties influence bilingual language detection in bilingual societies and the extent to which it modulates lexical access and single word processing. Language specificity of naturalistically learnt L2 words was manipulated by including bigram combinations that could be either L2 language-specific or common in the two languages known by bilinguals. A group of balanced bilinguals and a group of highly proficient but unbalanced bilinguals who grew up in a bilingual society were tested, together with a group of monolinguals (for control purposes). All the participants completed a speeded language detection task and a progressive demasking task. Results showed that the use of the information of orthotactic rules across languages depends on the task demands at hand, and on participants' proficiency in the second language. The influence of language orthotactic rules during language detection, lexical access and word identification are discussed according to the most prominent models of bilingual word recognition.