Anderson-Grneisen参数、热膨胀系数与压强的普遍关系

本文首先从理论上导出A derson-Gruneisen参数与体积弹性模量对压强的一阶导数之间及体积弹性模量与压强之间的普遍关系。然后在此基础上进一步导出Anderson-Gruneisen参数、热膨胀系数与压强之间的普遍关系。

O naruszaniu podstawowych zasad postępowania naukowego. “Wzgórze przeznaczenia archeologii” górą skandalu

„We are paying a high price for the increasingly unequivocal equation drawn between knowledge and science and ordinary market product. The ideal of perfectly unrestrained cognition, the true mother of science, is threatened by the mass drive towards practical use and application of knowledge, a looming departure into nothingness. Politicians and managers of scientific life are guilty of considerable contribution in corrupting respectable university structures, and thus undermining culture of science and scholarly ethics. (…). Acquisition of funds, sponsorship, media presence, popularisation or even striving for commercial gain are recognised by politicians and scientific consultants, but most of all they are accepted by the university management as objectives worthy of effort, not to say the foremost goals of science. University rectors are nowadays interested primarily in the amounts of acquired moneys. The outcomes of research thus financed is subject to virtually no control, nor does it arouse any interest, unless it turns out to be fit to be announced in the media as a sensation, thereby serving the ‘prestige’ of the university”.

Math-Towers: Promoting and supporting online collaborative mathematical exploration

Math-Towers (www.math-towers.ca) is a collaborative mathematics environment for pupils in grades 7 to 9. Using a fantasy adventure game context students are presented with a mathematical challenge, given online tools for working on the problem,and provided with a messaging system by which they may exchange ideas and partial solutions. This paper presents the philosophy behind the design of Math-Towers and work with students that indicates the extent to which we have been successful in meeting our aims. The technical and social problems encountered and revisions made to address these are also described.

Math-Towers: Online Interactive Collaborative Mathematics Explorations & Problem-Solving for Students Ages 11 to 15 years (Grades 6 to 10)

Math-Towers (www.math-towers.ca) is an online resource for students in grades 6 to 10 that supports collaborative problem-solving and investigations. This paper presents the philosophical position motivating the development of Math-Towers and describes how the site presents and motivates the mathematical challenges and supports participants' exploration and collaboration.

Measuring math anxiety in Italian college and high school students: Validity, reliability and gender invariance of the Abbreviated Math Anxiety Scale (AMAS)

Given that the ability to manage numbers is essential in a modern society, mathematics anxiety – which has been demonstrated to have unfortunate consequences in terms of mastery of math – has become a subject of increasing interest, and the need to accurately measure it has arisen. One of the widely employed scales to measure math anxiety is the Abbreviated Math Anxiety Scale (AMAS) (Hopko, Mahadevan, Bare & Hunt, 2003). The first aim of the present paper was to confirm the factor structure of the AMAS when administered to Italian high school and college students, and to test the invariance of the scale across educational levels. Additionally, we assessed the reliability and validity of the Italian version of the scale. Finally, we tested the invariance of the AMAS across genders. The overall findings provide evidence for the validity and reliability of the AMAS when administered to Italian students.

Can I Count on Getting Better? Association between Math Anxiety and Poorer Understanding of Medical Risk Reductions

BACKGROUND: Lower numerical ability is associated with poorer understanding of health statistics, such as risk reductions of medical treatment. For many people, despite good numeracy skills, math provokes anxiety that impedes an ability to evaluate numerical information. Math-anxious individuals also report less confidence in their ability to perform math tasks. We hypothesized that, independent of objective numeracy, math anxiety would be associated with poorer responding and lower confidence when calculating risk reductions of medical treatments.

METHODS: Objective numeracy was assessed using an 11-item objective numeracy scale. A 13-item self-report scale was used to assess math anxiety. In experiment 1, participants were asked to interpret the baseline risk of disease and risk reductions associated with treatment options. Participants in experiment 2 were additionally provided a graphical display designed to facilitate the processing of math information and alleviate effects of math anxiety. Confidence ratings were provided on a 7-point scale.

RESULTS: Individuals of higher objective numeracy were more likely to respond correctly to baseline risks and risk reductions associated with treatment options and were more confident in their interpretations. Individuals who scored high in math anxiety were instead less likely to correctly interpret the baseline risks and risk reductions and were less confident in their risk calculations as well as in their assessments of the effectiveness of treatment options. Math anxiety predicted confidence levels but not correct responding when controlling for objective numeracy. The graphical display was most effective in increasing confidence among math-anxious individuals.

CONCLUSIONS: The findings suggest that math anxiety is associated with poorer medical risk interpretation but is more strongly related to confidence in interpretations.

How to feel "in love" with Math - a MOOC experience

In the past few years we have witnessed the fast development of distance learning tools such as Open Educational Resources (OER) and Massive Open Online Courses (MOOCs). This paper presents the “Mathematics without STRESS” MOOC Project, which is a cooperation between four schools from the Polytechnic Institute of Oporto (IPP). The concepts of MOOC and their quickly growing popularity are presented and complemented by a discussion of some MOOC definitions. The process of the project development is demonstrated by focusing on used MOOC structure, as well as the several types of course materials produced. At last, is presented a short discussion about problems and challenges met throughout the project. It is also our goal to contribute for a change in the way as teaching and learning Mathematics is seen and practiced nowadays.

Innovations in technology: a friendly math project and the learning analytics “challenge”

Currently the world around us "reboots" every minute and “staying at the forefront” seems to be a very arduous task. The continuous and “speeded” progress of society requires, from all the actors, a dynamic and efficient attitude both in terms progress monitoring and moving adaptation. With regard to education, no matter how updated we are in relation to the contents, the didactic strategies and technological resources, we are inevitably compelled to adapt to new paradigms and rethink the traditional teaching methods. It is in this context that the contribution of e-learning platforms arises. Here teachers and students have at their disposal new ways to enhance the teaching and learning process, and these platforms are seen, at the present time, as significant virtual teaching and learning supporting environments. This paper presents a Project and attempts to illustrate the potential that new technologies present as a “backing” tool in different stages of teaching and learning at different levels and areas of knowledge, particularly in Mathematics. We intend to promote a constructive discussion moment, exposing our actual perception - that the use of the Learning Management System Moodle, by Higher Education teachers, as supplementary teaching-learning environment for virtual classroom sessions can contribute for greater efficiency and effectiveness of teaching practice and to improve student achievement. Regarding the Learning analytics experience we will present a few results obtained with some assessment Learning Analytics tools, where we profoundly felt that the assessment of students’ performance in online learning environments is a challenging and demanding task.

The development and implementation of math projects in a HEI: expectations, objectives, experiences and analysis

An overwhelming problem in Math Curriculums in Higher Education Institutions (HEI), we are daily facing in the last decade, is the substantial differences in Math background of our students. When you try to transmit, engage and teach subjects/contents that your “audience” is unable to respond to and/or even understand what we are trying to convey, it is somehow frustrating. In this sense, the Math projects and other didactic strategies, developed through Learning Management System Moodle, which include an array of activities that combine higher order thinking skills with math subjects and technology, for students of HE, appear as remedial but important, proactive and innovative measures in order to face and try to overcome these considerable problems. In this paper we will present some of these strategies, developed in some organic units of the Polytechnic Institute of Porto (IPP). But, how “fruitful” are the endless number of hours teachers spent in developing and implementing these platforms? Do students react to them as we would expect? Do they embrace this opportunity to overcome their difficulties? How do they use/interact individually with LMS platforms? Can this environment that provides the teacher with many interesting tools to improve the teaching – learning process, encourages students to reinforce their abilities and knowledge? In what way do they use each available material – videos, interactive tasks, texts, among others? What is the best way to assess student’s performance in these online learning environments? Learning Analytics tools provides us a huge amount of data, but how can we extract “good” and helpful information from them? These and many other questions still remain unanswered but we look forward to get some help in, at least, “get some drafts” for them because we feel that this “learning analysis”, that tackles the path from the objectives to the actual results, is perhaps the only way we have to move forward in the “best” learning and teaching direction.

Viva@Matemática project: a different way to see math

Viva@Mat is a project developed by four Math teachers from the School of Industrial Studies and Management (ESEIG) that was born with the fundamental objective of engaging ESEIG students with different math backgrounds in Math challenging activities. Some of these activities were transformed into real palpable materials and others into small interactive ones, being the great majority of them proposed by ESEIG’ students themselves. This small project rapidly grew into something we didn’t expect – it did flow over the walls of our institution to the general involving community – specifically to pre-university schools through the Viva@Math Exhibits – Orange, Blue and Green (the fourth, the Purple one is still in development). Nowadays, Viva@Math Exhibits – the public face of the Project – are itinerant and have been travelling between several, and different institutions (pre-university schools, preparatory schools, libraries, among others), around ESEIG and IPP area of influence and having registered visitors/participants of all ages. In this article we will describe the Viva@Math Project, its different activities that are categorized in some “great groups” like Numerical Trivia, Logic Activities and Mental Calculation, Puzzles, Geometric Curiosities, Magic Tricks, among others, designed to challenge students to use the underlying logical-mathematical reasoning to any ordinary and everyday activity. We will give specific and concrete examples of some of the activities developed and, also, reproduce of the general stimulating feedback the Project receives from the enrolled “actors” (teachers, students and their relatives, institutions, among others). We feel that this Project has become a small “bridge” between the pre-university schools and Higher Education Institutions (HEI), in trying to shorten the “gap” between the institutions of different levels of education and bring them to work together.

Var går gränsen? : vårdnadshavares uppfattning om lärares ansvarsområden.

Syftet med denna avhandling är att undersöka vårdnadshavares uppfattning om lärares ansvarsområden utöver undervisning. Ansvarsområdena som undersökts har namngetts tillgänglighet, fostran och lärares externa uppgifter. Med tillgänglighet avses kontakten mellan hem och skola, med fostran avses hemmets respektive skolans ansvar för fostran och med lärares externa uppgifter avses uppgifter som lärare har trots att uppgifterna enligt lag inte är en del av läraruppdraget. Skillnader i vårdnadshavares uppfattning har analyserats utgående från vårdnadshavares utbildningsgrad och familjesituation. Utgående från avhandlingens syfte har följande forskningsfrågor utformats: 1. Vad är vårdnadshavares uppfattning om ansvarområdena tillgänglighet, fostran och lärares externa uppgifter? 2. Hurdana skillnader finns det i vårdnadshavares uppfattning om lärares ansvarsområden utgående från vårdnadshavares utbildningsgrad? 3. Hurdana skillnader finns det i vårdnadshavares uppfattning om lärares ansvarsområden utgående från vårdnadshavares familjesituation? För att besvara ovanstående forskningsfrågor användes webbenkät som datainsamlingsmetod, vilket innebär att undersökningen är kvantitativ. Undersökningen har även kvalitativa inslag på grund av ett fåtal öppna frågor i webbenkäten. Forskningsansatsen är positivistisk. För att analysera materialet gjordes envägs variansanalys (one-way ANOVA) och engrupps t-test i statistikprogrammet SPSS. Respondenterna för undersökningen är vårdnadshavare till elever i årskurs tre och fyra i svenskspråkiga skolor från tre städer i Svenskfinland. Det totala antalet respondenter i undersökningen är 79. Resultatet visar att vårdnadshavarna uppfattar ansvarsområdet tillgänglighet vara mindre viktigt än det neutrala mittenvärdet samt att ansvaret för fostran och externa uppgifter inte enbart är lärarens. Vid analys av ansvarsområdena utgående från utbildningsgrad visar endast resultatet för analysen av ansvarsområdet tillgänglighet på signifikanta skillnader. Skillnaden kan ses mellan vårdnadshavarna med examen på andra stadiet respektive universitetsexamen. Resultatet visar dock att vårdnadshavarna med examen på andra stadiet anser att lärare har större ansvar för både fostran och externa uppgifter jämfört med vad vårdnadshavarna med yrkeshögskoleexamen respektive universitetsexamen gjorde. Vid analys av ansvarsområdena utgående från familjesituation visar resultatet inga signifikanta skillnader. Resultaten visar dock att vårdnadshavarna med äldre barn som går eller har gått i grundskolan anser att lärare har större ansvar för fostran jämfört med vad vårdnadshavarna vars barn är det första i grundskolan anser. Vid motsvarande analys av externa uppgifter anser vårdnadshavarna vars barn är det första i grundskolan att lärare har större ansvar.