scholarly journals PROGRESSÃO HARMÔNICA E O TRIÂNGULO DE LEIBNIZ

2015 ◽  
Vol 37 ◽  
pp. 426
Author(s):  
David Pinto Martins
Keyword(s):  
Problem Solving ◽  
History Of Mathematics ◽  
Wide Applicability ◽  
History Of ◽  
Problem Solving Strategies

http://dx.doi.org/10.5902/2179460X14661This article intends to address in an elementary way the study of harmonic progressions. To this end, the usage of history of mathematics and problem solving strategies permeated the text. Several problems, some classics and other extracted from mathematical olympiads, were treated to show the wide applicability of this subject. In the end, the triangle of Leibniz and his relationship with the harmonic progressions is studied.

Ankle Bones, Rogues, and Sexual Freedom for Women

2011 ◽  
pp. 461-468
Author(s):  
Nigel K.L. Pope ◽  
Kevin E. Voges
Keyword(s):  
Information Processing ◽  
Data Analysis ◽  
Problem Solving ◽  
Computational Intelligence ◽  
History Of Mathematics ◽  
Volume Form ◽  
Paper Briefly ◽  
Sexual Freedom ◽  
History Of ◽  
And Control

In this chapter we review the history of mathematics-based approaches to problem solving. The authors suggest that while the ability of analysts to deal with the extremes of data now available is leading to a new leap in the handling of data analysis, information processing, and control systems, that ability remains grounded in the work of early pioneers of statistical thought. Beginning with pre-history, the paper briefly traces developments in analytical thought to the present day, identifying milestones in this development. The techniques developed in studies of computational intelligence, the applications of which are presented in this volume, form the basis for the next great development in analytical thought.

Even Perfect Numbers—An Update

1981 ◽  
Vol 74 (6) ◽  
pp. 460-463
Author(s):  
Stanley J. Bezuszka
Keyword(s):  
Number Theory ◽  
Problem Solving ◽  
History Of Mathematics ◽  
Independent Study ◽  
History Of ◽  
Perfect Numbers ◽  
Excellent Resource

Do you have students who are computer buffs, always looking for a new problem to program efficiently? Do you have students who do independent study projects? If so, motivate them with this topic that is rich in the history of mathematics and number theory—perfect numbers. They provide an excellent resource for theoretical as well as computerized problem solving.

Teaching Mathematics through Historic Environment. A Time-Travel Grounded Pedagogy

2019 ◽  
pp. 380-385
Author(s):  
Marguerite K. Miheso-O´Connor
Keyword(s):  
Problem Solving ◽  
Mathematical Thinking ◽  
History Of Mathematics ◽  
Time History ◽  
Time Travel ◽  
Teaching Mathematics ◽  
Historical Events ◽  
Long Period ◽  
Present Context ◽  
History Of

Mathematics has been used by generations to make important decisions for a long period of time. History is littered with problem solving events which are results of mathematization of tasks based on available tools in any given generation. While History of mathematics focuses on what each culture contributed to present day conventional mathematics as taught in schools as a subject, Mathematics in a Historic environment focuses on identifying mathematical thinking that exists in all historical events. Historical events when enacted through the Time Travel approach learners get the opportunity to relive past events in the present context. Teaching mathematics in historic environment uses the time travel events that are practised by bridging ages international, to provide a reflective meaningful conceptualization of mathematics is a living subject. The strategy illuminates the centrality of mathematical thinking in all historical events. This paper shares findings from a study carried out on the effectiveness of this approach for teaching mathematics and provides an opportunity to discuss the approach as a viable pedagogic strategy that can be replicated across the curriculum.

Connecting Modernities

2022 ◽  
Author(s):  
Simone Maddanu ◽  
Hatem N. Akil
Keyword(s):  
Problem Solving ◽  
Global Awareness ◽  
Global Ethics ◽  
History Of Research ◽  
Global Modernity ◽  
History Of ◽  
The Commons ◽  
Problem Solving Strategies ◽  
Nature And Society

Editors’ introductory chapter delineates common threads among the volume’s cross-disciplinary contributions and connects these to the history of research on modernity as well as the most compelling issues confronting us today. The introduction discusses how the pandemic carries on the possibility (threat?) of a tabula rasa condition, a civilizational detour based on a foundation of global awareness of nature and society. The authors support the need for global problem-solving strategies, new global ethics, and a global resource management paradigm solidly cognizant of the commons and redistribution. The introduction explores the main hiatuses in today’s modernity and provides an update to the necessary assertion of a global modernity in the midst of political, ecological, and health crises.

The Harmonic Triangle: Opportunities for Pattern Identification and Generalization

1983 ◽  
Vol 76 (5) ◽  
pp. 350-354
Author(s):  
Ivan D. Stones
Keyword(s):  
Problem Solving ◽  
History Of Mathematics ◽  
Pattern Identification ◽  
Mathematical Activity ◽  
History Of

In the search for nonroutine material for a class on the history of mathematics, I became interested in the patterns that can be discovered within number triangles. “Looking for patterns” is a mathematical activity that not only is challenging and fun for students but also helps develop problem-solving techniques.

Riemann–Weyl in Deleuze's Bergsonism and the Constitution of the Contemporary Physico-Mathematical Space

2015 ◽  
Vol 9 (1) ◽  
pp. 59-87 ◽  
Author(s):  
Martin Calamari
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Fibre Bundle ◽  
History Of Mathematics ◽  
Gauge Field Theory ◽  
Contemporary Science ◽  
Explicit Mention ◽  
History Of ◽  
Key Features ◽  
Bernhard Riemann

In recent years, the ideas of the mathematician Bernhard Riemann (1826–66) have come to the fore as one of Deleuze's principal sources of inspiration in regard to his engagements with mathematics, and the history of mathematics. Nevertheless, some relevant aspects and implications of Deleuze's philosophical reception and appropriation of Riemann's thought remain unexplored. In the first part of the paper I will begin by reconsidering the first explicit mention of Riemann in Deleuze's work, namely, in the second chapter of Bergsonism (1966). In this context, as I intend to show first, Deleuze's synthesis of some key features of the Riemannian theory of multiplicities (manifolds) is entirely dependent, both textually and conceptually, on his reading of another prominent figure in the history of mathematics: Hermann Weyl (1885–1955). This aspect has been largely underestimated, if not entirely neglected. However, as I attempt to bring out in the second part of the paper, reframing the understanding of Deleuze's philosophical engagement with Riemann's mathematics through the Riemann–Weyl conjunction can allow us to disclose some unexplored aspects of Deleuze's further elaboration of his theory of multiplicities (rhizomatic multiplicities, smooth spaces) and profound confrontation with contemporary science (fibre bundle topology and gauge field theory). This finally permits delineation of a correlation between Deleuze's plane of immanence and the contemporary physico-mathematical space of fundamental interactions.

Sign in / Sign up

Export Citation Format

Share Document