Methods of Learning Geometrical Theorems

1933 ◽  
Vol 17 (223) ◽  
pp. 72-83
Author(s):  
A.W. Siddons
Keyword(s):  
Mathematical Knowledge ◽  
School Work ◽  
School Certificate ◽  
The Past ◽  
The Subject ◽  
Teaching Of Mathematics ◽  
Methods Of Learning ◽  
Advance Mathematical

FIRST of all I should like to say that I am not responsible for the subject of this paper. Some member of the Association proposed that a discussion should be held on this subject and the Committee that arranges the programme for this meeting asked me to read a paper. This Association was founded a little over sixty years ago, mainly by schoolmasters, and its main object was to advance mathematical knowledge by improving the teaching of mathematics in schools, so that I am only too glad to welcome any discussion on actual school work, and I hope that what I have to say may provoke a discussion to which many of you will contribute. After promising to read the paper I sat down to consider what ground it should cover. It seems to me that the subject covers nearly the whole ground of geometry teaching up to the School Certificate stage, so the subject is wide. It will not be uninteresting to look at the past for a few minutes. I started teaching in the last century, and there was much teaching at that time that had made little advance since the date of the foundation of the A.I.G.T. But for a moment I will go back still earlier and tell you two stories of the middle of the last century

Is the Average Secondary School Pupil able to Acquire a Thorough Knowledge of all the Mathematics Ordinarily Given in these Schools?

1911 ◽  
Vol 3 (3) ◽  
pp. 101-128
Author(s):  
Eugene R. Smith ◽  
Maurice J. Babb ◽  
I. J. Schwatt
Keyword(s):  
College Student ◽  
Secondary School ◽  
Secondary Schools ◽  
Mathematical Knowledge ◽  
Secondary Mathematics ◽  
College Teachers ◽  
Actual Knowledge ◽  
School Pupil ◽  
The Subject ◽  
Teaching Of Mathematics

Before taking up the subject of our discussion, I ought to state that it has always been with the greatest reluctance that I have felt constrained to criticise the teaching of mathematics in the elementary and secondary schools. The reason for my reluctance is the inequity of the situation. We college teachers have an opportunity to test the knowledge of many who have been taught in the elementary and secondary schools, and on the results of this test, our favorable or unfavorable criticism is based. But the inequity exists because we college teachers constitute ourselves a court of last resort, so to speak. True enough, the college student will be judged by the mental capabilities which he possesses, but very few of them will have to show how much actual knowledge of mathematics they have gained while under our instruction. If we college teachers are unsuccessful with the student, we have the defense that he came to us not fully prepared and that the foundation of his mathematical knowledge was not strong enough to put the superstructure on. However, I feel that there is as much need for improvement in the course of study and the method of teaching of college mathematics as there is of the elementary and secondary mathematics.

Pakistan’s Development: Successes, Failures, and Future Tasks (Presidential Remarks)

1997 ◽  
Vol 36 (4I) ◽  
pp. 321-331
Author(s):  
Sarfraz Khan Qureshi
Keyword(s):  
Indian Subcontinent ◽  
General Meeting ◽  
The Past ◽  
Past Half Century ◽  
The Social ◽  
The Subject ◽  
Golden Jubilee ◽  
Freedom Movement ◽  
Past Half ◽  
Do So

It is an honour for me as President of the Pakistan Society of Development Economists to welcome you to the 13th Annual General Meeting and Conference of the Society. I consider it a great privilege to do so as this Meeting coincides with the Golden Jubilee celebrations of the state of Pakistan, a state which emerged on the map of the postwar world as a result of the Muslim freedom movement in the Indian Subcontinent. Fifty years to the date, we have been jubilant about it, and both as citizens of Pakistan and professionals in the social sciences we have also been thoughtful about it. We are trying to see what development has meant in Pakistan in the past half century. As there are so many dimensions that the subject has now come to have since its rather simplistic beginnings, we thought the Golden Jubilee of Pakistan to be an appropriate occasion for such stock-taking.

Identifying Barriers to Integration of Technology into Traditional Approach of Teaching: A Case Study of Mathematics Teachers in Former Transkei in the Eastern Cape

10.31355/12 ◽  
2017 ◽  
Vol 1 ◽  
pp. 063-071
Author(s):  
Agyei Fosu
Keyword(s):  
High School ◽  
Mathematics Teachers ◽  
Traditional Approach ◽  
High School Education ◽  
Eastern Cape ◽  
High School Mathematics ◽  
Policy Makers ◽  
The Past ◽  
Integration Of Technology ◽  
Teaching Of Mathematics

NOTE: THIS ARTICLE WAS PUBLISHED WITH THE INFORMING SCIENCE INSTITUTE. Aim/Purpose................................................................................................................................................................................................. The main aim of the study is to identify some of the barriers to the integration of technology into the teaching of mathematics in high schools. Background................................................................................................................................................................................................. Writing on chalkboards as a method of transferring knowledge is a key feature of traditional approach to teaching may have been successful in the past, but the minds of the current generation vary from those of the previous generation. Today’s students are immersed in technology. They are much more up-to-date on the latest technology and gadgets. Technology has certainly changed how students access and integrate information, so it plausible that technology has also changed the way students thinks. Growing up with cutting-edge technologies has left them thinking differently than students of past generations. This call for new innovative approaches to teaching that will cater to the students of today. Of course it is not wise to discard the traditional way of teaching that the past teachers have painstakingly created because of its past and some current success. This is why it is recommended to use this approach as a base for the new ones. Thus, if there is a way to transfer the advantages of this approach of teaching to new innovative approach then teachers should do everything in their power to merge the past and the present into one innovative teaching approach. Methodology................................................................................................................................................................................................. Purposeful sampling was used to survey a total of 116 high school mathematics teachers in the former Transkei Homelands. But only 97 questionnaires were deemed usable because of the way they have answered the questions. Microsoft excel was used in the descriptive statistics Contribution................................................................................................................................................................................................. To identify some barriers that need to be addressed by stakeholders, policy makers in high school education so that high school mathematics teachers will be able to integrate technology into their classroom teaching to meet today students’ learning needs. Findings...................................................................................................................................................................................................... The results indicated that the participating teachers need to be trained and supported in the use of the new technologies applicable to teaching mathematics. Recommendations for Practitioners.......................................................................................................................................................... The Eastern Cape department of education needs to consider the lacked of technology training as a barrier to the integration of technology into the teaching of mathematics and take necessary steps to address it. Recommendation for Researchers........................................................................................................................................................... There is the need to explore in depth whether the factors of gender and age also act as barriers. Impact on Society....................................................................................................................................................................................... The research will assist stakeholders, policy makers of high school education to identify the needs of mathematics teachers. That is to say, the skill sets, experience and expertise, as well as teaching equipment and classroom design and environment required by mathematics teachers. Future Research........................................................................................................................................................................................... More work needs to be done to check whether gender, age of the teachers have some effects on their attitude towards technology integration as well as evaluate the role played by choice of teaching methodology and teaching objectives.

TARP DVIEJŲ KOLONŲ: XVIII A. PABAIGOS – XIX A. PRADŽIOS VILNIAUS MASONŲ KASDIENYBĖ SIMBOLIKOJE

2018 ◽  
pp. 144-163
Author(s):  
Daiva Milinkevičiūtė
Keyword(s):  
Daily Life ◽  
The Other ◽  
Daily Routine ◽  
The Past ◽  
Secular World ◽  
National Characteristics ◽  
Conservative Christian ◽  
The Subject ◽  
The One ◽  
Craft Guilds

The Age of Enlightenment is defined as the period when the universal ideas of progress, deism, humanism, naturalism and others were materialized and became a golden age for freemasons. It is wrong to assume that old and conservative Christian ideas were rejected. Conversely, freemasons put them into new general shapes and expressed them with the help of symbols in their daily routine. Symbols of freemasons had close ties with the past and gave them, on the one hand, a visible instrument, such as rituals and ideas to sense the transcendental, and on the other, intense gnostic aspirations. Freemasons put in a great amount of effort to improve themselves and to create their identity with the help of myths and symbols. It traces its origins to the biblical builders of King Solomon’s Temple, the posterity of the Templar Knights, and associations of the medieval craft guilds, which were also symbolical and became their link not only to each other but also to the secular world. In this work we analysed codified masonic symbols used in their rituals. The subject of our research is the universal Masonic idea and its aspects through the symbols in the daily life of the freemasons in Vilnius. Thanks to freemasons’ signets, we could find continuity, reception, and transformation of universal masonic ideas in the Lithuanian freemasonry and national characteristics of lodges. Taking everything into account, our article shows how the universal idea of freemasonry spread among Lithuanian freemasonry, and which forms and meanings it incorporated in its symbols. The objective of this research is to find a universal Masonic idea throughout their visual and oral symbols and see its impact on the daily life of the masons in Vilnius. Keywords: Freemasonry, Bible, lodge, symbols, rituals, freemasons’ signets.

Performance Management Transformation

2020 ◽  
Keyword(s):  
Organizational Performance ◽  
Performance Management ◽  
High Performance ◽  
Best Practice ◽  
Call To Action ◽  
Daily Work ◽  
The Past ◽  
Great Debate ◽  
The Subject ◽  
New Research

No other talent process has been the subject of such great debate and emotion as performance management (PM). For decades, different strategies have been tried to improve PM processes, yielding an endless cycle of reform to capture the next “flavor-of-the-day” PM trend. The past 5 years, however, have brought novel thinking that is different from past trends. Companies are reducing their formal processes, driving performance-based cultures, and embedding effective PM behavior into daily work rather than relying on annual reviews to drive these. Through case studies provided from leading organizations, this book illustrates the range of PM processes that companies are using today. These show a shift away from adopting someone else’s best practice; instead, companies are designing bespoke PM processes that fit their specific strategy, climate, and needs. Leading PM thought leaders offer their views about the state of PM today, what we have learned and where we need to focus future efforts, including provocative new research that shows what matters most in driving high performance. This book is a call to action for talent management professionals to go beyond traditional best practice and provide thought leadership in designing PM processes and systems that will enhance both individual and organizational performance.

scholarly journals Shopping Centres, Cycling Accessibility and Planning—The Case of Nova Lund in Sweden

Urban Science ◽  
2020 ◽  
Vol 4 (4) ◽  
pp. 70
Author(s):  
Till Koglin ◽  
Lucas Glasare
Keyword(s):  
Conflicts Of Interest ◽  
Current Situation ◽  
Decision Makers ◽  
Power Structures ◽  
Literature Study ◽  
Shopping Centre ◽  
The Past ◽  
Whole Process ◽  
The Subject

This paper evaluates the history and cycling accessibility of Nova, a shopping centre established in Lund, Sweden, in 2002. The current situation was also analysed through observation and a literature review. Moreover, the study conducted a closer analysis of the history and role of the municipality based on further literature study and interviews with officials. The conclusion of the analysis indicates poor and unsafe bikeways caused by conflicts of interest between politicians, officials, landowners and the general public. It also depicts a situation in which the municipality’s master plan has been ignored, and, in contrast to the local goals, cycling accessibility at Nova has seen no significant improvement since the shopping centre was first established. The reasons for this, arguably, are a relatively low budget for bikeway improvements in the municipality, as well as a situation in which decision-makers have stopped approaching the subject, as a result of the long and often boisterous conflicts it has created in the past. Lastly, it must be noted that it is easy to regard the whole process of Nova, from its establishment to the current situation, as being symptomatic of the power structures between drivers and cyclists that still affect decision-makers at all levels.

scholarly journals Teaching Science in Today’s Society: The Case of Particle Physics for Primary Schools

Universe ◽  
2021 ◽  
Vol 7 (6) ◽  
pp. 169
Author(s):  
Cristina Lazzeroni ◽  
Sandra Malvezzi ◽  
Andrea Quadri
Keyword(s):  
Particle Physics ◽  
Primary Schools ◽  
Scientific Information ◽  
Decision Makers ◽  
Educational Institutions ◽  
The Public ◽  
The Past ◽  
Rapid Changes ◽  
The Subject ◽  
Ongoing Project

The rapid changes in science and technology witnessed in recent decades have significantly contributed to the arousal of the awareness by decision-makers and the public as a whole of the need to strengthen the connection between outreach activities of universities and research institutes and the activities of educational institutions, with a central role played by schools. While the relevance of the problem is nowadays unquestioned, no unique and fully satisfactory solution has been identified. In the present paper we would like to contribute to the discussion on the subject by reporting on an ongoing project aimed to teach Particle Physics in primary schools. We will start from the past and currently planned activities in this project in order to establish a broader framework to describe the conditions for the fruitful interplay between researchers and teachers. We will also emphasize some aspects related to the dissemination of outreach materials by research institutions, in order to promote the access and distribution of scientific information in a way suited to the different age of the target students.

Does the Injunction Gap Violate Implementers’ Fair Trial Rights Under the ECHR?

2020 ◽  
Author(s):  
Léon E Dijkman
Keyword(s):  
Human Rights ◽  
Case Law ◽  
Fair Trial ◽  
European Convention ◽  
The Past ◽  
European Court ◽  
The Subject ◽  
The Right ◽  
Federal Supreme ◽  
Validity Of A Patent

Abstract Germany is one of few jurisdictions with a bifurcated patent system, under which infringement and validity of a patent are established in separate proceedings. Because validity proceedings normally take longer to conclude, it can occur that remedies for infringement are imposed before a decision on the patent’s validity is available. This phenomenon is colloquially known as the ‘injunction gap’ and has been the subject of increasing criticism over the past years. In this article, I examine the injunction gap from the perspective of the right to a fair trial enshrined in Art. 6 of the European Convention on Human Rights. I find that the case law of the European Court of Human Rights interpreting this provision supports criticism of the injunction gap, because imposing infringement remedies with potentially far-reaching consequences before the validity of a patent has been established by a court of law arguably violates defendants’ right to be heard. Such reliance on the patent office’s grant decision is no longer warranted in the light of contemporary invalidation rates. I conclude that the proliferation of the injunction gap should be curbed by an approach to a stay of proceedings which is in line with the test for stays as formulated by Germany’s Federal Supreme Court. Under this test, courts should stay infringement proceedings until the Federal Patent Court or the EPO’s Board of Appeal have ruled on the validity of a patent whenever it is more likely than not that it will be invalidated.

The economics of escalation

2021 ◽  
Vol 33 (1) ◽  
pp. 106-140
Author(s):  
Fabio D’Orlando ◽  
Sharon Ricciotti
Keyword(s):  
Human Nature ◽  
Budget Constraint ◽  
Theoretical Treatment ◽  
Jel Codes ◽  
Innate Behavior ◽  
Hedonic Adaptation ◽  
The Past ◽  
Subjective Scale ◽  
The Subject ◽  
Positional Effects

Escalation is a key characteristic of many consumption behaviors that has not received theoretical attention. This paper aims to propose both a definition and a theoretical treatment of escalation in consumption. We define escalation as a subject’s attempt to obtain “more” or engage in consumption behaviors that are “more intense” on a measurable, quantitative or qualitative, objective or subjective, scale (more difficult ski slopes, stronger drugs, harder sex, better restaurants etc.), even if the subject preferred less intense consumption behaviors in the past. Further, this evolution in behavior also occurs if the budget constraint does not change. We will find endogenous and exogenous theoretical microfoundations for escalation in models of hedonic adaptation, desire for novelty, acquisition of consumption skills, rising aspirations, positional effects, and envy. However, we will also discuss the possibility that the tendency to escalate is a specific innate behavior inherent to human nature. Finally, we will propose a preliminary theoretical formalization of such behavior and indicate the possible implications of taking escalation into adequate consideration. JEL codes: B52, D11, D90, D91, I31

scholarly journals The Relevance of Inequality Research in Sociology for Inequality Reduction

2021 ◽  
Vol 7 ◽  
pp. 237802312110201
Author(s):  
Thomas A. DiPrete ◽  
Brittany N. Fox-Williams
Keyword(s):  
Social Sciences ◽  
Social Policy ◽  
Social Inequality ◽  
Large Scale ◽  
Sociological Research ◽  
Life Chances ◽  
The Past ◽  
The Social ◽  
Large Scale Change ◽  
The Subject

Social inequality is a central topic of research in the social sciences. Decades of research have deepened our understanding of the characteristics and causes of social inequality. At the same time, social inequality has markedly increased during the past 40 years, and progress on reducing poverty and improving the life chances of Americans in the bottom half of the distribution has been frustratingly slow. How useful has sociological research been to the task of reducing inequality? The authors analyze the stance taken by sociological research on the subject of reducing inequality. They identify an imbalance in the literature between the discipline’s continual efforts to motivate the plausibility of large-scale change and its lesser efforts to identify feasible strategies of change either through social policy or by enhancing individual and local agency with the potential to cumulate into meaningful progress on inequality reduction.

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