Modeling as a means for making powerful ideas accessible to children at an early age

The SimCalc Vision and Contributions Advances in Mathematics Education 2013, pp 419-436 Modeling as a Means for Making Powerful Ideas Accessible to Children at an Early Age Richard Lesh, Lyn English, Serife Sevis, Chanda Riggs … show all 4 hide » Look Inside » Get Access Abstract In modern societies in the 21st century, significant changes have been occurring in the kinds of “mathematical thinking” that are needed outside of school. Even in the case of primary school children (grades K-2), children not only encounter situations where numbers refer to sets of discrete objects that can be counted. Numbers also are used to describe situations that involve continuous quantities (inches, feet, pounds, etc.), signed quantities, quantities that have both magnitude and direction, locations (coordinates, or ordinal quantities), transformations (actions), accumulating quantities, continually changing quantities, and other kinds of mathematical objects. Furthermore, if we ask, what kind of situations can children use numbers to describe? rather than restricting attention to situations where children should be able to calculate correctly, then this study shows that average ability children in grades K-2 are (and need to be) able to productively mathematize situations that involve far more than simple counts. Similarly, whereas nearly the entire K-16 mathematics curriculum is restricted to situations that can be mathematized using a single input-output rule going in one direction, even the lives of primary school children are filled with situations that involve several interacting actions—and which involve feedback loops, second-order effects, and issues such as maximization, minimization, or stabilizations (which, many years ago, needed to be postponed until students had been introduced to calculus). …This brief paper demonstrates that, if children’s stories are used to introduce simulations of “real life” problem solving situations, then average ability primary school children are quite capable of dealing productively with 60-minute problems that involve (a) many kinds of quantities in addition to “counts,” (b) integrated collections of concepts associated with a variety of textbook topic areas, (c) interactions among several different actors, and (d) issues such as maximization, minimization, and stabilization.

A comparison of Chinese and Australian early childhood mathematics

In the 21st century mathematics proficiency is synonymous with a numerate citizenry. In the past few decades young children’s ability to reason mathematically and develop mathematical proficiencies has been recognised. This paper explores the history of early childhood mathematics (ECME) that may explicate differences in Chinese and Australian contexts. Results of this review established that China and Australia are diametrically positioned in ECME. Influencing each countries philosophies and practices are their cultural beliefs. ECME in China and Australia must be culturally sustainable to achieve excellent outcomes for young children. Ongoing critique and review is necessary to ensure that ECME is meeting the needs of all teachers and children in their particular context. China and Australia with their rich contrasting philosophies can assist each other in their journeys to create exemplary ECME for the 21st century.

Evidence supporting exercise interventions for persons in early-stage Alzheimer’s disease

The purpose of this article is to grade research evidence supporting exercise-based interventions for persons with early-stage dementias and to report the recommendations of a consensus panel. The search produced 11 data based articles testing the effects of exercise interventions on a variety of outcomes. The body of evidence to support exercise interventions in the prevention and treatment of Alzheimer’s disease is growing and has potential as a treatment modality following translational studies in recreation therapy and other fields.

Sustainability initiatives in early years settings

Children bring much knowledge about sustainability issues into the early childhood classroom. In recent times, I have overheard children as young as three years of age discuss events such as the BP Oil Spill in American waters and extreme weather patterns. While aspects of these events can be overwhelming, responding to children's existing knowledge allows for an educative approach to sustainability issues, and a focus on the multitude of ways individuals and communities are working to create positive change.

25 million years to break a continent : early to middle Miocene rifting and syn-extensional magmatism in the southern Gulf of California

Cenozoic extension in western Mexico has been divided into two episodes separated by the change from convergence to oblique divergence at the plate boundary. The Gulf Extensional Province is thought to have started once subduction ended at ~12.5 Ma whereas early extension is classified as Basin and Range. Mid-Miocene volcanism of the Comondú group has been considered as a subduction-related arc, whereas post ~12.5 Ma volcanism would be extension-related. Our new integration of the continental onshore and offshore geology of the south-east Gulf region, backed by tens of Ar-Ar and U-Pb ages and geochemical studies, document an early-mid Miocene rifting and extension-related bimodal to andesitic magmatism prior to subduction termination. Between ~21 and 11 Ma a system of NNW-SSE high-angle extensional faults rifted the western side of the Sierra Madre Occidental (SMO) ignimbrite plateau. In Nayarit, rhyolitic domes and some basalts were emplaced along this extensional belt at 18-17 Ma. These rocks show strong antecrystic inheritance but an absence of Mesozoic and older xenocrysts, suggesting a genesis in the mid-upper crust triggered by extension-induced basaltic influx. In Sinaloa, large grabens were floored by huge dome complexes at ~21-17 Ma and filled by continental sediments with interlayered basalts dated at 15 Ma. Mid-Miocene volcanism, including the largely volcaniclastic Comondú strata in Baja California, was thus emplaced in rift basins and appears associated to decompression melting rather than subduction. Along the coast, flat-lying basaltic lava flows dated at 11-10 Ma are exposed just above the present sea level. Here crustal thickness is 25-20 Km, almost half that in the core of the SMO, implying significant lithosphere stretching before ~11 Ma. This mafic pulse, with relatively high Ti but still clear Nb-Ta negative spikes, may be related to the detachment of the lower part of the subducted slab, allowing asthenosphere to flow into parts of the mantle previously fluxed by subduction fluids. Very uniform OIB-like lavas appear in late Pliocene and Pleistocene, only 18 m.y. after the onset of rifting and ~9 m.y. after the end of subduction. Our study shows that rifting began much earlier than Late Miocene and progressively overwhelmed subduction in generating magmatism.

Early-mid Cretaceous tectonic evolution of eastern Gondwana : from silicic LIP magmatism to continental rupture

The Early���mid Cretaceous marks the confluence of three major continental-scale events in eastern Gondwana: (1) the emplacement of a Silicic Large Igneous Province (LIP) near the continental margin; (2) the volcaniclastic fill, transgression and regression of a major epicontinental seaway developed over at least a quarter of the Australian continent; and (3) epeirogenic uplift, exhumation and continental rupturing culminating in the opening of the Tasman Basin c. 84 Ma. The Whitsunday Silicic LIP event had widespread impact, producing both substantial extrusive volumes of dominantly silicic pyroclastic material and coeval first-cycle volcanogenic sediment that accumulated within many eastern Australian sedimentary basins, and principally in the Great Australian Basin system (>2 Mkm3 combined volume). The final pulse of volcanism and volcanogenic sedimentation at c. 105–95 Ma coincided with epicontinental seaway regression, which shows a lack of correspondence with the global sea-level curve, and alternatively records a wider, continental-scale effect of volcanism and rift tectonism. Widespread igneous underplating related to this LIP event is evident from high paleogeothermal gradients and regional hydrothermal fluid flow detectable in the shallow crust and over a broad region. Enhanced CO2 fluxing through sedimentary basins also records indirectly, large-scale, LIP-related mafic underplating. A discrete episode of rapid crustal cooling and exhumation began c. 100–90 Ma along the length of the eastern Australian margin, related to an enhanced phase of continental rifting that was largely amagmatic, and probably a switch from wide–more narrow rift modes. Along-margin variations in detachment fault architecture produced narrow (SE Australia) and wide continental margins with marginal, submerged continental plateaux (NE Australia). Long-lived NE-trending cross-orogen lineaments controlled the switch from narrow to wide continental margin geometries.

Paleomagnetic data support Early Permian age for the Abor Volcanics in the lower Siang Valley, NE India; significance for Gondwana-related break-up models

Confusion exists as to the age of the Abor Volcanics of NE India. Some consider the unit to have been emplaced in the Early Permian, others the Early Eocene, a difference of ∼230 million years. The divergence in opinion is significant because fundamentally different models explaining the geotectonic evolution of India depend on the age designation of the unit. Paleomagnetic data reported here from several exposures in the type locality of the formation in the lower Siang Valley indicate that steep dipping primary magnetizations (mean = 72.7 ± 6.2°, equating to a paleo-latitude of 58.1°) are recorded in the formation. These are only consistent with the unit being of Permian age, possibly Artinskian based on a magnetostratigraphic argument. Plate tectonic models for this time consistently show the NE corner of the sub-continent >50°S; in the Early Eocene it was just north of the equator, which would have resulted in the unit recording shallow directions. The mean declination is counter-clockwise rotated by ∼94°, around half of which can be related to the motion of the Indian block; the remainder is likely due local Himalayan-age thrusting in the Eastern Syntaxis. Several workers have correlated the Abor Volcanics with broadly coeval mafic volcanic suites in Oman, NE Pakistan–NW India and southern Tibet–Nepal, which developed in response to the Cimmerian block peeling-off eastern Gondwana in the Early-Middle Permian, but we believe there are problems with this model. Instead, we suggest that the Abor basalts relate to India–Antarctica/India–Australia extension that was happening at about the same time. Such an explanation best accommodates the relevant stratigraphical and structural data (present-day position within the Himalayan thrust stack), as well as the plate tectonic model for Permian eastern Gondwana.

Epistemic beliefs and beliefs about teaching practices for moral learning in the early years of school : relationships and complexities

While investment in young children is recognised as important for the development of moral values for a cohesive society, little is known about early years teaching practices that promote learning of moral values. This paper reports on observations and interviews with 11 Australian teachers, focusing on their epistemic beliefs and beliefs about teaching practices for moral education with children aged 5 to 8 years. The analysis revealed three main patterns of thinking about moral education: following others, reflecting on points of view, and informing reflection for action. These patterns suggest a relationship between epistemic beliefs and beliefs about teaching practices for moral learning which have implications for teacher professional development concerning experiences in moral education.

Gifted early adolescents’ negotiating identity : A case study of self-presentation theory

Academically gifted students are recognised as possessing considerable achievement potential. Yet many fail to perform at a level commensurate with their ability. Often gifted students in early adolescence are faced with a forced choice between fulfilment of potential and achieving stable positive relationships with peers. This choice can affect their achievement and may have far-reaching personal and social costs. This case study explored the viability of self-presentation theory to explain students' ways of negotiating their sense of self whilst developing public identity and the concomitant affects on achievement and the fulfilment of potential. It examined how gifted students moderate their images in their learning and extra-curricular environments. Further, the study identifies those self-presentation strategies adopted that either facilitate or hinder achievement. This study may assist parents, educators and school counsellors to provide greater support for gifted adolescents.

Early stage start-ups : evidence from the Comprehensive Australian Study of Entrepreneurial Emergence (CAUSEE)

In this chapter, the picture of Australian small business is supplemented by using data from the Comprehensive Australian Study of Entrepreneurial Emergence (CAUSEE) . This data tracks large numbers of on-going business start-ups over time. The Australian Centre of Entrepreneurship Research at Queensland University of Technology collected data in four annual waves. (Wave 1 to Wave 4) from 2007 to 2011. CAUSEE allows the analysis of entrepreneurial entrants at two stages of development, i.e. nascent and young firms. Nascent firms are defined as firms in the process of being created, but not yet established in the market, and young firms are defined as having been operational for up to four years. An analysis of nascent firms provides unique insights, as no other known Australian database captures and follows the development of business start-ups at the pre-operational stage. In addition, the project captured judgment over samples of high-potential start-ups.

Early adolescents’ helping behaviours when a friend is injured in a fight : the role of an extended Theory of Planned Behavior

This paper examines the role of first aid training in increasing adolescent helping behaviours when taught in a school-based injury prevention program, Skills for Preventing Injury in Youth (SPIY). The research involved the development and application of an extended Theory of Planned Behaviour (TPB), including “behavioural willingness in a fight situation,” “first aid knowledge” and “perceptions of injury seriousness”, to predict the relationship between participation in SPIY and helping behaviours when a friend is injured in a fight. From 35 Queensland high schools, 2500 Year 9 students (mean age = 13.5, 40% male) completed surveys measuring their attitudes, perceived behavioural control, subjective norms and behavioural intention, from the TPB, and added measures of behavioural willingness in a fight situation, perceptions of injury seriousness and first aid knowledge, to predict helping behaviours when a friend is injured in a fight. It is expected that the TPB will significantly contribute to understanding the relationship between participation in SPIY and helping behaviours when a friend is injured in a fight. Further analyses will determine whether the extension of the model significantly increases the variance explained in helping behaviours. The findings of this research will provide insight into the critical factors that may increase adolescent bystanders’ actions in injury situations.

Critical Literacy in the Early Years : Emergence and Sustenance in an Age of Accountability

The work of early childhood educators in facilitating young children’s literacy acquisition has never received more attention than in the new millennium. Media hype about literacy crises, falling standards, teacher quality and government promises of minimum standards for all children have simultaneously increased the ‘visibility’ of literacy and the stakes for school performance. Indeed the last two decades could be seen as an age of pronouncements with respect to literacy, with politicians internationally promising to cure supposed low literacy with standardized tests and mandated programmes. As the rhetoric around literacy intensifies many late-capitalist economies are experiencing shifts that have increased the gaps between rich and poor, changed the very nature of work, and fundamentally altered the cultural mix of their populations. More and more children attending schools where English is the language of instruction speak it as a second or third language. Many children have experienced the effects of war, terrorism, migration and poverty. Many live in fractured, fragmented and changing families. Teacher populations are changing too. In some places aging teacher workforces mean that there is already a shortage of qualified teachers. Literacy is also changing as the impact of digital technologies on global and local communication, economies and knowledges begins to bite in everyday and working lives. It is challenging to think about how spaces for the emergence and sustenance of critical literacy in early childhood education might be created.

Pursuing better childhoods and futures through curriculum : utopian visions in the development of Australia’s early years learning framework

In recent years, globalised curriculum discourses have given rise to local curriculum texts that convey and produce particularised imaginings and narratives, as well as hopes for, and expectations of, young children, their childhoods and their futures. In this article, the authors employ concepts from utopian studies and Deleuzeguattarian concepts of assemblage, rhizomes and lines (supple, rigid and lines of flight) to undertake a preliminary and partial rhizomatic mapping of utopian visions of better childhoods and futures evident in the development of the Early Years Learning Framework, Australia’s first national curriculum for early childhood settings. Drawing on the perspective of policy makers, News Corporation, the public, politicians, academics and practitioners who shaped the development of the Framework, the authors seek alternatives to the well-rehearsed dichotomies that so often characterise and confine curriculum politics and debates, and ways of exploring spaces between the possible and not (yet) possible.

"They did not believe me" : Adult survivors' perspectives of child sexual abuse by personnel in Christian Institutions

Executive Summary Child sexual abuse (CSA) in Christian Institutions continues to be of serious concern in public, criminal justice and institutional discourse. This study was conducted in conjunction with Project Kidsafe Foundation and sought the perspectives of Australian survivors of CSA by Personnel in Christian Institutions (PICIs). In total, 81 individual survivors responded to an online survey which asked them a range of questions about their current and childhood life circumstance; the nature, extent and location of abuse; grooming strategies utilised by perpetrators; their experiences of disclosure; and outcomes of official reporting to both criminal justice agencies and also official processes Christian institutions. Survey participants were given the option to further participate in a qualitative interview with the principal researcher. These interviews are not considered within this report. In summary, survey data examined here indicate that: • Instances of abuse included a range of offences from touching outside of clothing to serious penetrative offences. • The onset of abuse occurred at a young age: between 6 and 10 years for most female participants, and 11 and 13 years for male participants. • In the majority of cases the abuse ceased because of actions by survivors, not by adults within families or the Christian institution. • Participants waited significant time before disclosing their abuse, with many waiting 20 years or more. • Where survivors disclosed to family members or PICIs, they were often met with disbelief and unhelpful responses aimed at minimising the harm. • Where an official report was made, it was most often made to police. In these cases 53% resulted in an official investigations. • The primary reasons for reporting were to protect others from the perpetrator and make the Christian institution accountable to an external agency. • Where reports to Christian institutions were made, most survivors were dissatisfied with outcomes, and a smaller majority was extremely dissatisfied. This report reflects the long-held understanding that responding to CSA is a complex and difficult task. If effective and meaningful responses are not made, however, trauma to the survivor is most often compounded and recovery delayed. This report demonstrates the need for further independent analysis and oversight of responses made to CSA by both criminal justice, religious and social institutions. Meaningful change will only be accessible, however, if family, community and institutional environments are safe places for survivors to disclose their experiences of abuse and begin to seek ways of healing. There is much to be learnt from survivors that have already made this journey.