Problem Solving Can Generate New Approaches to Mathematics: The Case of Probability

2003 ◽  
Vol 96 (5) ◽  
pp. 328-332
Author(s):  
Jeremy A. Kahan ◽  
Terry R. Wyberg
Keyword(s):  
Problem Solving ◽  
Secondary Mathematics ◽  
New Approaches ◽  
World Series ◽  
The World ◽  
History Of

In this article, we discuss the World Series problem, which we have used many times in our work with preservice and in-service teachers of secondary mathematics. This problem yields to multiple approaches. Furthermore, the history of the underlying problem illustrates how mathematics sometimes develops in response to the need to solve a problem, a process that we want to let our students share. In fact, we believe that this problem is a strong illustration of Stanic and Kilpatrick's (1989) metaphor that the problem is a vehicle. Those who work on (ride) the problem arrive at significant mathematics (a destination). We begin with a presentation of the vehicle, then explore several routes that students might take and notice how these routes all lead to the same destination.

Catching a Market: The Publishing History of Catch-22

Prospects ◽  
1992 ◽  
Vol 17 ◽  
pp. 475-525
Author(s):  
Jonathan R. Eller
Keyword(s):  
New York ◽  
New York City ◽  
York City ◽  
Publishing History ◽  
World Series ◽  
Berlin Crisis ◽  
New Novel ◽  
The World ◽  
History Of ◽  
Catch 22

September of 1961 brought welcome relief from the Berlin Crisis in the Oform of two distinctly American recreations: the World Series and the fall book season. As always, both seemed to focus on New York City, and the New York media brought excitement and suspense to fit both seasons: excitement – as Roger Maris attempted to break Babe Ruth's record of sixty home runs – and suspense, as Simon & Schuster ran eye-catching but mysterious ads for a new novel, revealing nothing more than the title – Catch-22. Everyone knew what Maris's quest meant, but no one seemed to know what “CATCH-22” meant.

scholarly journals NZGA PRESIDENT'S ADDRESS 2016 Systems research: the need for a change of thinking

2017 ◽  
Vol 79 ◽  
pp. 11-14
Author(s):  
Dr Stevens
Keyword(s):  
New Zealand ◽  
Problem Solving ◽  
Systems Research ◽  
The World ◽  
Farm Systems ◽  
History Of

Farm systems research has a long history of success in New Zealand. Recent reviews have highlighted the progress made through the traditional and pragmatic approaches that have been used (Clark 2013; Stevens et al. 2016). However, as the world and technologies change ever more rapidly around us, is it time to change from the pragmatic problem solving approach to one of deeper understanding?

scholarly journals Metodologi Dakwah Menurut Abdul Karim Zaidan (1917-2014): dalam Bukunya Usul Da’wah

2020 ◽  
Vol 23 (1) ◽  
pp. 235-249
Author(s):  
Mohd Rumaizuddin Ghazali
Keyword(s):  
Problem Solving ◽  
Library Research ◽  
The World ◽  
History Of ◽  
Heads Of State ◽  
Positive Impacts

Artikel ini membicarakan tentang sumber metodologi dakwah, pendekatan dakwah menurut pandangan Abdul Karim Zaidan. Menurutnya, sumber metodologi dakwah ialah al-Quran, al-Sunnah, sejarah hidup para Sahabat, pendapat dan pandangan para fuqaha serta pengalaman pendakwah itu sendiri. Artikel ini menggunakan kaedah kajian perpustakaan. Objektif artikel ini ialah memperkenalkan biografi Abdul Karim Zaidan. Di samping itu menjelaskan manhaj dakwahnya iaitu berasaskan pratik yang pernah dilakukan oleh Rasulullah dan para sahabat. Rasulullah telah menggunakan pendekatan pengkisahan, dialog, penyelesaian masalah, pengajian ilmu, khutbah dan ceramah serta penulisan dengan menulis surat kepada ketua-ketua negara. Buku Usul al-Da’wahnya telah menjadi rujukan utama kepada pendakwah di seluruh dunia. Artikel ini mendapati penggunaan manhaj dakwah yang betul akan memberi impak positif kepada kejayaan perkembangan dakwah Islam. The article discusses the sources of da'wah methodology, da'wah approaches according to Abdul Karim Zaidan's view. According to him, the sources of da'wah methodology are the Qur'an, al-Sunnah, the history of Sahabah, the opinions and views of the fuqaha and the experiences of the dai’e themselves. This article employs library research. The objective of this article is to introduce the biography of Abdul Karim Zaidan. It also describes his dakwah methodology, which is based on the practices carried out by the Prophet and his Companions. The Prophet has utilised various methods such as narrations, dialogues, problem solving, focussed deliberations of knowledge, sermons and lectures as well as writings through correspondences with various heads of state. Through his own book, Usul al-Da’wah, he has been regarded as the source of reference to the Muslim preachers the world over. This article found that proper adoption of preaching methodologies will contribute positive impacts on the successful dissemination of the Islamic dakwah.

scholarly journals Science of problem solving in a historical context

2020 ◽  
Vol 10 ◽  
pp. 105-120
Author(s):  
Janos Korn
Keyword(s):  
Problem Solving ◽  
Historical Context ◽  
Historical Background ◽  
Enterprise Integration ◽  
Scientific Enterprise ◽  
New Science ◽  
The World ◽  
History Of ◽  
Quantitative Properties ◽  
Object Level

The generality of the ‘systemic or structural view’ of parts of the world is introduced. This leads to the generality of the ‘innate’ problem solving activity of problematic issues in the living sphere associated with survival or homeostasis, achievements of ambitions by chance or purpose and maintenance of isothermal operations. The anomaly of using predominantly qualitative, quantitative properties over the history of human intellectual endeavour for the development of empirical theories in preference of ‘systemic properties’, had they been available, is asserted. One- and two- place, declarative sentences of processed natural language acting as such properties, are suggested. Consideration of the notions of achievement and ambition leads to a ‘problem solving structure’ as the integral part of the ‘New science of systems’ called the ‘Science of problem solving’ or the ‘Science of the 21st century’. Accordingly, the problematic issues can be resolved and the anomaly to disappear. Aristotle’s four causes from the historical background of thought are compared with the problem-solving structure and the problem-solving function and place of conventional science of physics at the object level is discussed leading to a ‘scientific enterprise’. Integration of ancient and modern views has emerged. An example of application of ‘linguistic modelling’ to the problem-solving structure, is given.

NEW APPROACHES TO THE HISTORY OF IMPERIALISM

2001 ◽  
Vol 44 (2) ◽  
pp. 587-592
Author(s):  
D. K. FIELDHOUSE
Keyword(s):  
East Asia ◽  
New World ◽  
The West ◽  
Cambridge University ◽  
New Approaches ◽  
The World ◽  
History Of ◽  
Global World ◽  
West European

The world and the West: European challenge and the overseas response in the age of empire. By Philip D. Curtin. Cambridge: Cambridge University Press, 2000. Pp. xiv+294. ISBN 0-521-77135-8. £19.95.The global world of Indian merchants. 1750–1947: traders of Sind from Bukhara to Panama. By Claude Markovits. Cambridge: Cambridge University Press, 2000. Pp. xv+327. ISBN 0-521-62285-9. £40.00.New frontiers: imperialism's new communities in East Asia 1842–1953. Edited by Robert Bickers and Christian Henrito. Manchester: Manchester University Press, 2000. Pp. xii+290. ISBN 0-7190-5604-7. £45.00.Colonial writing and the New World, 1583–1671: allegories of desire. By Thomas Scanlan. Cambridge: Cambridge University Press, 1999. Pp. x+242. ISBN 0-521-64305-8. £37.50.

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