Evidence for the Efficacy of Systemic Models of Practice from a Cross‐sectional Survey of Schools’ Satisfaction with their Educational Psychologists

A follow‐up cross‐sectional survey of the involvement of educational psychologists in pupil support in mainstream primary and secondary schools was conducted using questionnaires employed in a study carried out 10 years previously. The questionnaires were sent to the head teachers of 112 primaries and 24 secondaries in four education authorities. Ninety‐one of the primaries (81%) and 21 of the secondaries (87%) responded. The findings reveal significantly higher levels of satisfaction with the current contributions of educational psychologists compared with the earlier surveys, with over 70% of head teachers valuing the input of their school’s psychologist. While schools value, and the majority of psychologists offer, the traditional role of individual assessment, the findings also indicate changes in psychologists’ practice and in schools’ expectations, with significant and highly‐valued increases in the number of educational psychologists involved at strategic level in primary and secondary schools and in research and development in primaries over the last 10 years. Implications for schools and for psychological services are considered.     

Affecting the flow of a proof by creating presence—a case study in Number Theory

The notion of flow of a proof encapsulates mathematical, didactical, and contextual aspects of proof presentation. A proof may have different flows, depending on the lecturer’s choices regarding its presentation. Adopting Perelman’s New Rhetoric (PNR) as a theoretical framework, we designed methods to assess aspects of the flow of a proof. We present a case study from a Number Theory class at the beginning undergraduate level, focusing on an intervention concerning one lesson given in two consecutive years. The intervention consisted of a discussion with the lecturer about findings from Year-1 and potential changes in the flow of the proof before the Year-2 lesson. We analyze two aspects of the flow of the proof: the scope and organization of the argumentation and the presence (in the PNR sense) of different elements. Our analysis revealed that the intervention caused global and local changes in the flow and that PNR enables us to capture these changes.     

VERBAL JUSTIFICATION—IS IT A PROOF? SECONDARY SCHOOL TEACHERS’ PERCEPTIONS

According to reform documents, teachers are expected to teach proofs and proving in school mathematics. Research results indicate that high school students prefer verbal proofs to other formats. We found it interesting and important to examine the position of secondary school teachers with regard to verbal proofs. Fifty high school teachers were asked to prove various elementary number theory statements, to write correct and incorrect proofs that students may use, and to evaluate given justifications to statements from elementary number theory. While all the participants provided correct proofs to the statements, our findings indicate that teachers are not aware of students’ preference for verbal justifications. Also, about half of the teachers rejected correct verbal justifications. They claimed that these justifications lacked generality and are mere examples.     

Student‐Centered and Dynamic Interfaces that Enrich Technical Learning for Online Science Learners: A Review of the Literature

Communicating complex scientific and technical information presents a challenge for food science educators. The most efficient learning occurs when all senses are engaged, one reason that many educators believe that scientific principles are best taught with hands‐on laboratory experiences. Today there are many challenges to the continuation of these “wet labs” including the cost of building the labs as well as equipment, materials, and personnel to run them. Many current e‐learning technologies are based on 2‐dimensional delivery systems, and are often inadequate to provide a substitute for a laboratory exercise. However, recent advances in technology have evolved to more closely reflect the kinds of learning experiences that students typically have in a laboratory class. This review describes the role of these emerging technologies as teaching tools for educators, with the clear understanding that similar concepts can be utilized by management of technical teams in the work place.     

The continuous measurement of the springboard reaction force in gymnastic vaulting

Abstract

A new method was established for the continuous measurement of force applied from a springboard to a gymnast in vaulting (board reaction force). Male gymnasts performed a handspring vault using a springboard mounted on force platforms. A high-speed video camera sampled the springboard motion at 500 Hz. The springboard was initially partitioned into 29 segments. The force due to the accelerative motion of the springboard was determined by summing the forces of the individual segments. The board reaction force acting on the gymnast was calculated by subtracting the force due to the accelerative motion of the springboard and weight from the force recorded by the force platform. The new method succeeded in illustrating transient changes of the board reaction force. The horizontal and vertical components of the peak values of the board reaction force were three and two times greater respectively than the average values. A series of tests was conducted to determine whether the number of segments of the springboard model could be reduced without affecting accuracy. A model consisting of only four segments produced almost the same accuracy as the 29-segment model. The simplified model is recommended as a more efficient method to measure board reaction force.     

Query-oriented text summarization based on hypergraph transversals

The rise in the amount of textual resources available on the Internet has created the need for tools of automatic document summarization. The main challenges of query-oriented extractive summarization are (1) to identify the topics of the documents and (2) to recover query-relevant sentences of the documents that together cover these topics. Existing graph- or hypergraph-based summarizers use graph-based ranking algorithms to produce individual scores of relevance for the sentences. Hence, these systems fail to measure the topics jointly covered by the sentences forming the summary, which tends to produce redundant summaries. To address the issue of selecting non-redundant sentences jointly covering the main query-relevant topics of a corpus, we propose a new method using the powerful theory of hypergraph transversals. First, we introduce a new topic model based on the semantic clustering of terms in order to discover the topics present in a corpus. Second, these topics are modeled as the hyperedges of a hypergraph in which the nodes are the sentences. A summary is then produced by generating a transversal of nodes in the hypergraph. Algorithms based on the theory of submodular functions are proposed to generate the transversals and to build the summaries. The proposed summarizer outperforms existing graph- or hypergraph-based summarizers by at least 6% of ROUGE-SU4 F-measure on DUC 2007 dataset. It is moreover cheaper than existing hypergraph-based summarizers in terms of computational time complexity.     

A Comparison of the Degree of Student Satisfaction using a Simulation or a Traditional Wet Lab to Teach Physical Properties of Ice

It is often difficult to offer food chemistry students traditional, hands‐on laboratory experiences due to lack of funds for equipment, insufficient laboratory space, or the nature of distance education. A traditional wet laboratory exercise was developed to demonstrate the effects of the physical properties of ice formation when making high‐quality sorbets, varying the amounts of sugar, water, and stabilizer. This wet lab was compared to a simulated, detective‐based crime scene investigation (CSI) of why a famous food scientist's sorbet had become a “stiff.” Forty‐six food chemistry students were randomly assigned to groups, completing either the traditional wet lab or the simulated lab 1st before completing the 2nd type of laboratory. While there were preferences for one lab over another, there were no differences in the learning outcomes between the 2 laboratory formats. Students who preferred the simulated lab felt they could move at their own pace and were able to stop and review the simulation to understand the concepts more clearly. Traditional wet lab proponents liked working in groups and having immediate access to instructors. From the initial evaluation it appears that simulations could be used as replacements for hands‐on laboratory experiences or could serve as effective introductions to laboratory principles and concepts, resulting in increased student learning.     

Segmental dynamics of soccer instep kicking with the preferred and non-preferred leg

Detailed time-series of the resultant joint moments and segmental interactions during soccer instep kicking were compared between the preferred and non-preferred kicking leg. The kicking motions of both legs were captured for five highly skilled players using a three-dimensional cinematographic technique at 200 Hz. The resultant joint moment (muscle moment) and moment due to segmental interactions (interaction moment) were computed using a two-link kinetic chain model composed of the thigh and lower leg (including shank and foot). The mechanical functioning of the muscle and interaction moments during kicking were clearly illustrated. Significantly greater ball velocity (32.1 vs. 27.1 m . s(-1)), shank angular velocity (39.4 vs. 31.8 rad . s(-1)) and final foot velocity (22.7 vs. 19.6 m . s(-1)) were observed for the preferred leg. The preferred leg showed a significantly greater knee muscle moment (129.9 N . m) than the non-preferred leg (93.5 N . m), while no substantial differences were found for the interaction moment between the two legs (79.3 vs. 55.7 N . m). These results indicate that the highly skilled soccer players achieved a well-coordinated inter-segmental motion for both the preferred and non-preferred leg. The faster leg swing observed for the preferred leg was most likely the result of the larger muscle moment.