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.

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.

Maximizing Area and Perimeter Problems

2021 ◽  
Vol 114 (1) ◽  
pp. 41-46
Author(s):  
Samuel L. Eskelson ◽  
Brian E. Townsend ◽  
Elizabeth K. Hughes
Keyword(s):  
Mathematical Modeling ◽  
Real World ◽  
Mathematical Concepts ◽  
Area And Perimeter ◽  
Technological Tool ◽  
Real World Problems

Use this context and technological tool to assist students in embracing the mathematical and pragmatic nuances of “real-world” problems so they become fertile opportunities to explore mathematical concepts, express reasoning, and engage in mathematical modeling.

Practical Geometry Problems: The Case of the Ritzville Pyramids

1993 ◽  
Vol 86 (3) ◽  
pp. 198-200
Author(s):  
Donald Nowlin
Keyword(s):  
Real World ◽  
Washington State ◽  
Traditional Curriculum ◽  
Mathematical Concepts ◽  
Evaluation Standards ◽  
Geometry Problem ◽  
Eastern Washington ◽  
Practical Geometry ◽  
The Relationship ◽  
Real World Problems

The wheat-producing country of eastern Washington state furnishes a practical example of an applied geometry problem requiring only a knowledge of the relationship between the parts of a circle and the parts of a right triangle. The solution of this problem is related to several topics in the Curriculum and Evaluation Standards (NCTM 1989) that do not appear in a traditional curriculum. One of the main features of this example is that it shows that memorized formulas from textbooks must sometimes be modified to fit real-world problems. The solution of the problem requires the students to make some desirable connections among mathematical concepts that may otherwise be perceived as unrelated.

scholarly journals ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS

Fractals ◽  
2020 ◽  
Vol 28 (08) ◽  
pp. 2040044
Author(s):  
ABDON ATANGANA ◽  
SEDA İĞRET ARAZ
Keyword(s):  
Numerical Simulations ◽  
Exponential Decay ◽  
Power Law ◽  
Real World ◽  
Numerical Scheme ◽  
Integral Operators ◽  
Fractional Operators ◽  
Mathematical Concepts ◽  
Newton Polynomial ◽  
Real World Problems

In this paper, we present a new numerical scheme for a model involving new mathematical concepts that are of great importance for interpreting and examining real world problems. Firstly, we handle a Labyrinth chaotic problem with fractional operators which include exponential decay, power-law and Mittag-Leffler kernel. Moreover, this problem is solved via Atangana-Seda numerical scheme which is based on Newton polynomial. The accuracy and efficiency of the method can be easily seen with numerical simulations.

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.

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