An exploration of learners’ autonomous learning of mathematics by using selected Visual Technology for the Autonomous Learning of Mathematics (VITALmaths) video clips: A case study

One of the major problems in the achievements of learners in mathematics is the difficulty they experience in performing tasks involving higher level thinking skills which are developed through autonomous learning behaviours (Karp, 1991). Thus, to engage meaningfully in high level mathematical tasks, one should be able to work independently (Karp, 1991). Teachers therefore should support learners in developing the skills that will afford them the opportunity to manage their own learning outside the sheltered surroundings of the classroom, when the teacher is no longer there for support (St. Louis, 2003). A study was undertaken with 11 Grade-10 learners to ascertain how their engagement with the VITALmaths video clips support and improve the learners’ understanding of the Pythagorean Theorem and the addition and subtraction of fractions autonomously. The VITALmaths database of video clips, which consists of short video clips (1 - 3 minutes long) was developed collaboratively by students and researchers at the School of Teacher Education at the University of Applied Sciences North-Western Switzerland and Rhodes University in South Africa (Linneweber-Lammerskitten, Schäfer & Samson, 2010). The video clips, which are freely available, can be downloaded on mobile phones. The study was structured into four different phases during which data was collected and analysed using both quantitative and qualitative methods. I specifically looked at the learners’ use of manipulatives during their learning of the Pythagorean Theorem and the addition and subtraction of fractions, whether there was a growth of a discourse-for-oneself and whether or not their engagement with the video clips enhanced the learners’ understanding of the Pythagorean Theorem and the addition and subtraction of fractions. While the theoretical framework provided a sound basis for researching autonomous learning, it required a considerable effort to determine whether the participants showed growth in terms of moving from a discourse-for-others to a discourse-for-oneself. The study revealed that the learners’ engagement with the VITALmaths video clip encouraged the use of manipulatives in their learning of the Pythagorean Theorem and the addition and subtraction of fractions. The majority of the learners involved in the study showed a growth of a discourse-for-oneself. A number of the learners showed an enhancement in their understanding of the Pythagorean Theorem and the knowledge involved in the addition and subtraction of fractions. The overall findings showed that mobile technology can easily be incorporated in the learners’ learning of mathematics. The VITALmaths video clips can play a significant role in the learners’ autonomous learning and understanding of certain mathematical concepts

An exploration of learners’ autonomous learning of mathematics by using selected Visual Technology for the Autonomous Learning of Mathematics (VITALmaths) video clips: A case study

One of the major problems in the achievements of learners in mathematics is the difficulty they experience in performing tasks involving higher level thinking skills which are developed through autonomous learning behaviours (Karp, 1991). Thus, to engage meaningfully in high level mathematical tasks, one should be able to work independently (Karp, 1991). Teachers therefore should support learners in developing the skills that will afford them the opportunity to manage their own learning outside the sheltered surroundings of the classroom, when the teacher is no longer there for support (St. Louis, 2003). A study was undertaken with 11 Grade-10 learners to ascertain how their engagement with the VITALmaths video clips support and improve the learners’ understanding of the Pythagorean Theorem and the addition and subtraction of fractions autonomously. The VITALmaths database of video clips, which consists of short video clips (1 - 3 minutes long) was developed collaboratively by students and researchers at the School of Teacher Education at the University of Applied Sciences North-Western Switzerland and Rhodes University in South Africa (Linneweber-Lammerskitten, Schäfer & Samson, 2010). The video clips, which are freely available, can be downloaded on mobile phones. The study was structured into four different phases during which data was collected and analysed using both quantitative and qualitative methods. I specifically looked at the learners’ use of manipulatives during their learning of the Pythagorean Theorem and the addition and subtraction of fractions, whether there was a growth of a discourse-for-oneself and whether or not their engagement with the video clips enhanced the learners’ understanding of the Pythagorean Theorem and the addition and subtraction of fractions. While the theoretical framework provided a sound basis for researching autonomous learning, it required a considerable effort to determine whether the participants showed growth in terms of moving from a discourse-for-others to a discourse-for-oneself. The study revealed that the learners’ engagement with the VITALmaths video clip encouraged the use of manipulatives in their learning of the Pythagorean Theorem and the addition and subtraction of fractions. The majority of the learners involved in the study showed a growth of a discourse-for-oneself. A number of the learners showed an enhancement in their understanding of the Pythagorean Theorem and the knowledge involved in the addition and subtraction of fractions. The overall findings showed that mobile technology can easily be incorporated in the learners’ learning of mathematics. The VITALmaths video clips can play a significant role in the learners’ autonomous learning and understanding of certain mathematical concepts

CUMBRIA (Reino Unido) (Inglaterra). Central. Mapas generales (1789). 1:65400

Comprende la zona central del condado inglés de CumbriaEscala gráfica de 5 millas [= 12,3 cm]. Coordenadas de la ciudad de Keswick, referidas, al parecer, al meridiano de Greenwich (O 3°01'30''/N 54°03'30''). Orientado con lis en rosa de ocho vientosOrografía a trazosTítulo enmarcado en un paisaje montañosoForma parte de la Colección Mendoz

Resection and resolution of bone marrow lesions associated with an improvement of pain after total knee replacement: a novel case study using a 3-Tesla metal artefact reduction MRI sequence

We present our case report using a novel metal artefact reduction magnetic resonance imaging (MRI) sequence to observe resolution of subchondral bone marrow lesions (BMLs), which are strongly associated with pain, in a patient after total knee replacement surgery. Large BMLs were seen preoperatively on the 3-Tesla MRI scans in a patient with severe end stage OA awaiting total knee replacement surgery. Twelve months after surgery, using a novel metal artefact reduction MRI sequence, we were able to visualize the bone-prosthesis interface and found complete resection and resolution of these BMLs. This is the first reported study in the UK to use this metal artefact reduction MRI sequence at 3-Tesla showing that resection and resolution of BMLs in this patient were associated with an improvement of pain and function after total knee replacement surgery. In this case it was associated with a clinically significant improvement of pain and function after surgery. Failure to eradicate these lesions may be a cause of persistent postoperative pain that is seen in up to 20% of patients following TKR surgery

Considerations in relation to off-site emergency procedures and response for nuclear accidents

The operation of nuclear facilities has, fortunately, not led to many accidents with off-site consequences. However, it is well-recognised that should a large release of radioactivity occur, the effects in the surrounding area and population will be significant. These effects can be mitigated by developing emergency preparedness and response plans prior to the operation of the nuclear facility that can be exercised regularly and implemented if an accident occurs. This review paper details the various stages of a nuclear accident and the corresponding aspects of an emergency preparedness plan that are relevant to these stages, both from a UK and international perspective. The paper also details how certain aspects of emergency preparedness have been affected by the accident at Fukushima Dai-ichi and as a point of comparison how emergency management plans were implemented following the accidents at Three Mile Island 2 and Chernobyl. In addition, the UK’s economic costing model for nuclear accidents COCO-2, and the UK’s Level-3 Probabilistic Safety Assessment code “PACE” are introduced. Finally, the factors that affect the economic impact of a nuclear accident, especially from a UK standpoint, are described

Intertext and allusion in Herodotus' Histories: authority, proof, polemic

This study considers anew the central question of Herodotus’ relationship with literary and textual sources. It examines how Herodotus comes to define his own work in a context where many artists (both narrative and visual) are seeking to accumulate, delineate, and ultimately dictate cultural memory. Rather than applying traditional Quellenforschung, my analysis centres on examining significant intertextual and allusive relationships in his work. In each chapter, I address the nature of Herodotus’ engagement with certain textual rivals/genres, namely early prose writers, inscriptions, poets (expecially Homer, Simonides, Aeschylus, Sophocles), and oracles. From this emerges a highly nuanced engagement with myriad texts in the Histories (principally: as authoritative voices; as persuasive evidence; and as voices for disputation). Such engagement furnishes considerable authority for the writer of the Histories, to the extent that he provides a superior view of the past, compared to the more limited, partisan perspectives offered by his textual rivals. My study reinforces the salient point that Herodotus is no historian in any modern sense of the word; his interaction with other literary traditions does not appear in a way that is expected of an academic monograph. Nevertheless the evidence for his engagement with a wide and diverse group of texts—both contemporary and non-contemporary—clearly militates against the consensual view that Herodotus was working with predominantly unfixed, oral traditions. Indeed, through this interplay with other literary works Herodotus most clearly defines for the reader his own unique intellectual achievement: the invention of historiography

Climate change modulates the stratospheric volcanic sulfate aerosol lifecycle and radiative forcing from tropical eruptions.

Explosive volcanic eruptions affect climate, but how climate change affects the stratospheric volcanic sulfate aerosol lifecycle and radiative forcing remains unexplored. We combine an eruptive column model with an aerosol-climate model to show that the stratospheric aerosol optical depth perturbation from frequent moderate-magnitude tropical eruptions (e.g. Nabro 2011) will be reduced by 75% in a high-end warming scenario compared to today, a consequence of future tropopause height rise and unchanged eruptive column height. In contrast, global-mean radiative forcing, stratospheric warming and surface cooling from infrequent large-magnitude tropical eruptions (e.g. Mt. Pinatubo 1991) will be exacerbated by 30%, 52 and 15% in the future, respectively. These changes are driven by an aerosol size decrease, mainly caused by the acceleration of the Brewer-Dobson circulation, and an increase in eruptive column height. Quantifying changes in both eruptive column dynamics and aerosol lifecycle is therefore key to assessing the climate response to future eruptions

The metallicity distribution of the halo and the satellites of the Milky way in the hierarchical merging paradigm

To account for the observed differential metallicity distribution (DMD) of the Milky Way halo, a semi-analytical model is presented in the framework of the hierarchical merging paradigm for structure formation. It is assumed that the Milky Way halo is composed of a number of sub-haloes with properties either as observed in the dwarf satellite galaxies of the Local group (shape of metallicity distribution, effective yield) or derived from calculations of structure formation (sub-halo distribution function). With reasonable assumptions for the parameters involved, we find that the overall shape and effective yield of the Galactic halo DMD can be reproduced in the framework of such a simple model. The low metallicity tail of the DMD presents a defficiency of stars with respect to the simple model predictions (akin to the G-dwarf problem in the solar neighborhood); it is suggested that an early infall phase can account for that problem, as well as for the observed DMDs of dwarf satellite galaxies.Accretion of galaxies similar (but not identical) to the progenitors of present day dwarf satellites of the Milky Way may well have formed the Galactic halo.Comment: 10 pages, 6 fig. to appear in Astronomy and Astrophysic