The Particle-Motion Problem

1993 ◽  
Vol 86 (4) ◽  
pp. 288-292
Author(s):  
Franklin Demana ◽  
Bert K. Waits
Keyword(s):  
Real World ◽  
Particle Motion ◽  
Mathematics Classroom ◽  
Graphing Calculators ◽  
Particle Accelerators ◽  
Linear Motion ◽  
Curvilinear Motion ◽  
Motion Problem ◽  
Motion Problems ◽  
Real World Problems

Linear particle-motion problems constitute a rich and interesting source of real-world problems for the mathematics classroom. Furthermore, they can be simulated very nicely with computers using appropriate software or with modern graphing calculators that include built-in parametric-graphing utilities. Consider these applications that involve linear motion: (1) changing circular or curvilinear motion into linear motion and (2) linear particle accelerators in physics.

Integrating Spreadsheets into the Mathematics Classroom

1988 ◽  
Vol 81 (8) ◽  
pp. 615-622
Author(s):  
Janet L. McDonald
Keyword(s):  
Real World ◽  
Computer Literacy ◽  
Mathematics Classroom ◽  
Mathematical Concepts ◽  
Business Courses ◽  
Real World Problems

Spreadsheets have become an integral part of computer literacy and business courses, allowing students to see the power of such utility software and use it to solve problems. But, the spreadsheet can also be an extremely effective tool in the mathematics classroom. There the spreadsheet can be used to help solve many real-world problems and, at the same time, promote students' understanding of important mathematical concepts and principles.

scholarly journals Exemplifying a Model-Eliciting Task for Primary School Pupils

2011 ◽  
Vol 1 (1) ◽  
pp. 65-74
Author(s):  
Chan Chun Ming Eric ◽  
Wanty Widjaja ◽  
Ng Kit Ee Dawn
Keyword(s):  
Education Research ◽  
Mathematics Education ◽  
Mathematical Modelling ◽  
Primary School ◽  
Real World ◽  
Primary Schools ◽  
Mathematics Classroom ◽  
Mathematics Education Research ◽  
Primary School Pupils ◽  
Real World Problems

Mathematical modelling is a field that is gaining prominence recently in mathematics education research and has generated interests in schools as well. In Singapore, modelling and applications are included as process components inrevised 2007 curriculum document (MOE, 2007) as keeping to reform efforts. InIndonesia, efforts to place stronger emphasis on connecting school mathematicswith real-world contexts and applications have started in Indonesian primary schools with the Pendidikan Realistik Matematik Indonesia (PMRI) movement a decade ago (Sembiring, Hoogland, Dolk, 2010). Amidst others, modelling activities are gradually introduced in Singapore and Indonesian schools to demonstrate the relevance of school mathematics with real-world problems. However, in order for it to find a place in the mathematics classroom, there is aneed for teacher-practitioners to know what mathematical modelling and what amodelling task is. This paper sets out to exemplify a model-eliciting task that has been designed and used in both a Singapore and Indonesian mathematicsclassroom. Mathematical modelling, the features of a model-eliciting task, and its potential and advice on implementation are discussed.

scholarly journals Handrails through the Swamp? A Pilot to Test the Integration and Implementation Science Framework in Complex Real-World Research

2021 ◽  
Vol 13 (10) ◽  
pp. 5491
Author(s):  
Melissa Robson-Williams ◽  
Bruce Small ◽  
Roger Robson-Williams ◽  
Nick Kirk
Keyword(s):  
Pilot Study ◽  
Case Studies ◽  
Implementation Science ◽  
Real World ◽  
Environmental Problems ◽  
Environmental Research ◽  
Integrative Framework ◽  
The World ◽  
Science Framework ◽  
Real World Problems

The socio-environmental challenges the world faces are ‘swamps’: situations that are messy, complex, and uncertain. The aim of this paper is to help disciplinary scientists navigate these swamps. To achieve this, the paper evaluates an integrative framework designed for researching complex real-world problems, the Integration and Implementation Science (i2S) framework. As a pilot study, we examine seven inter and transdisciplinary agri-environmental case studies against the concepts presented in the i2S framework, and we hypothesise that considering concepts in the i2S framework during the planning and delivery of agri-environmental research will increase the usefulness of the research for next users. We found that for the types of complex, real-world research done in the case studies, increasing attention to the i2S dimensions correlated with increased usefulness for the end users. We conclude that using the i2S framework could provide handrails for researchers, to help them navigate the swamps when engaging with the complexity of socio-environmental problems.

scholarly journals Combined Games with Randomly Delayed Beginnings

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 534
Author(s):  
F. Thomas Bruss
Keyword(s):  
Discrete Time ◽  
Real World ◽  
Optimal Stopping ◽  
Random Variables ◽  
Approximate Solutions ◽  
Real World Problems

This paper presents two-person games involving optimal stopping. As far as we are aware, the type of problems we study are new. We confine our interest to such games in discrete time. Two players are to chose, with randomised choice-priority, between two games G1 and G2. Each game consists of two parts with well-defined targets. Each part consists of a sequence of random variables which determines when the decisive part of the game will begin. In each game, the horizon is bounded, and if the two parts are not finished within the horizon, the game is lost by definition. Otherwise the decisive part begins, on which each player is entitled to apply their or her strategy to reach the second target. If only one player achieves the two targets, this player is the winner. If both win or both lose, the outcome is seen as “deuce”. We motivate the interest of such problems in the context of real-world problems. A few representative problems are solved in detail. The main objective of this article is to serve as a preliminary manual to guide through possible approaches and to discuss under which circumstances we can obtain solutions, or approximate solutions.

Review of Network Flow Algorithms David P. Williamson

2021 ◽  
Vol 52 (1) ◽  
pp. 12-15
Author(s):  
S.V. Nagaraj
Keyword(s):  
Graduate Students ◽  
Real World ◽  
Network Flow ◽  
Network Flows ◽  
Optimization Problems ◽  
Capacity Constraints ◽  
Incoming Flow ◽  
Network Flow Problems ◽  
Flow Problems ◽  
Real World Problems

This book is on algorithms for network flows. Network flow problems are optimization problems where given a flow network, the aim is to construct a flow that respects the capacity constraints of the edges of the network, so that incoming flow equals the outgoing flow for all vertices of the network except designated vertices known as the source and the sink. Network flow algorithms solve many real-world problems. This book is intended to serve graduate students and as a reference. The book is also available in eBook (ISBN 9781316952894/US$ 32.00), and hardback (ISBN 9781107185890/US$99.99) formats. The book has a companion web site www.networkflowalgs.com where a pre-publication version of the book can be downloaded gratis.

Help communities solve real-world problems with AI

AI Matters ◽  
2019 ◽  
Vol 5 (3) ◽  
pp. 12-14
Author(s):  
Tara Chklovski
Keyword(s):  
Real World ◽  
Real World Problems
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