Spreadsheets in Education (eJSiE)Copyright (c) 2015 Bond University All rights reserved.
http://epublications.bond.edu.au/ejsie
Recent documents in Spreadsheets in Education (eJSiE)en-usSat, 20 Jun 2015 23:57:28 PDT3600A Romberg Integral Spreadsheet Calculator
http://epublications.bond.edu.au/ejsie/vol8/iss2/2
http://epublications.bond.edu.au/ejsie/vol8/iss2/2Thu, 09 Apr 2015 00:12:36 PDT
Motivated by the work of Richardsonâ€™s extrapolation spreadsheet calculator up to level 4 to approximate definite differentiation, we have developed a Romberg integral spreadsheet calculator to approximate definite integral. The main feature of this version of spreadsheet calculator is a friendly graphical user interface developed to capture the needed information to solve the integral by Romberg method. Users simply need to enter the variable in the integral, function to be integrated, lower and upper limits of the integral, select the desired accuracy of computation, select the exact function if it exists and lastly click the Compute button which is associated with VBA programming written to compute Romberg integral table. The full solution of the Romberg integral table up to any level can be obtained quickly and easily using this method. The attached spreadsheet calculator together with this paper helps educators to prepare their marking scheme easily and assist students in checking their answers instead of reconstructing the answers from scratch. A summative evaluation of this Romberg Spreadsheet Calculator has been conducted by involving 36 students as sample. The data was collected using questionnaire. The findings showed that the majority of the students agreed that the Romberg Spreadsheet Calculator provides a structured learning environment that allows learners to be guided through a step-by-step solution.
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Kim Gaik Tay et al.MathematicsSpreadsheets: Laying a Foundation for Understanding Functions
http://epublications.bond.edu.au/ejsie/vol8/iss2/1
http://epublications.bond.edu.au/ejsie/vol8/iss2/1Mon, 30 Mar 2015 17:07:26 PDT
Linear, quadratic, and exponential functions, as well as polynomial functions, are the most basic mathematical expressions. Despite being among the most basic expressions in algebra, these functions are often used to approximate more complicated functions. The Common Core State Standards for Mathematics provide the framework for a discussion of the basic functions presented here. To that extent, the content of this paper consists of the use of spreadsheet technology in experimentation with linear transformations in the plane; experimentation with the way quadratic functions behave; constructing and comparing linear, quadratic, and exponential models of real-life data; and automation of the computation of real zeros of polynomials where such calculations require implementation of time consuming iterative procedures. An iterative procedure based on the Rational Zeros Theorem will be used to find exact values of rational zeros of a polynomial. A second iterative procedure based on the Bounds on Zeros theorem and the Intermediate Value Theorem will be used to approximate all real zeros of a polynomial.
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Pejmon SadriMathematicsDivination: Using Excel to explore ethnomathematics
http://epublications.bond.edu.au/ejsie/vol8/iss1/6
http://epublications.bond.edu.au/ejsie/vol8/iss1/6Fri, 27 Mar 2015 18:57:15 PDT
This paper presents the way Microsoft Excel is used as a tool to explore properties of the sikidy divination system used in Madagascar. This is an example of how topics of ethnomathematics can be investigated using a technological tool. We simulated the construction of the mother-sikidy and used tools from Excel to present its properties graphically. We considered a generalization of the sikidy divination system and realized that some properties still hold. Using the technology provides opportunities to persevere in solving mathematical problems.
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Cristina Gomez et al.MathematicsA fourth-order Runge-Kutta (RK4) Spreadsheet Calculator For Solving A System of Two First-Order Ordinary Differential Equations Using Visual Basic (VBA) Programming
http://epublications.bond.edu.au/ejsie/vol8/iss1/5
http://epublications.bond.edu.au/ejsie/vol8/iss1/5Mon, 16 Mar 2015 20:57:09 PDT
Motivated by the work of a spreadsheet solution of a system of ordinary differential equations (ODEs) using the fourth-order Runge-Kutta (RK4) method, a RK4 spreadsheet calculator for solving a system of two first-order ODEs was developed using VBA programming. The main feature of this spreadsheet calculator is to provide a user-friendly interface input form for users to insert the required information instead of the standard cells in Excel. Users are prompted step by step to give relevant information beginning from providing independent and dependent variables used in the system of ODEs. Secondly, they are required to give the interval for the independent variable, initial values for the dependent variables, a step size h and desired accuracy for computation. Thirdly, they have to enter the system of two first-order ODEs and the exact functions if it exists. The ODES and the exact function can be typed in Mathematical form. After Solve button is clicked, its calculation is automatically performed and can be recalculated for a new system once the needed information is re-entered. The attached spreadsheet calculator together with this paper would be able to assist educators in preparing their marking scheme easily and help students to verify their answers. A summative evaluation of this RK4 Spreadsheet Calculator has been conducted by involving 34 students as sample. The data was collected using questionnaire. The findings showed that majority of the students agreed that the RK4 Spreadsheet Calculator provides a learning environment that allows learners to be guided through the solution which is presented step by step.
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Kim Gaik Tay et al.MathematicsSprego Programming
http://epublications.bond.edu.au/ejsie/vol8/iss1/4
http://epublications.bond.edu.au/ejsie/vol8/iss1/4Sat, 07 Feb 2015 01:31:52 PST
Spreadsheet management is a border-land between office applications and programming, however, it is rather communicated that spreadsheet is nothing more than an easily handled fun piece. Consequently, the complexity of spreadsheet handling, the unprepared end-users, their problem solving abilities and approaches do not match. To overcome these problems we have developed and introduced Sprego (Spreadsheet Lego). Sprego is a simplified functional programming language in spreadsheet environment, and such as can be used both as introductory language and the language of end-user programmers. The essence of Sprego is that we use as few and simple functions as possible and based on these functions build multilevel formulas. With this approach, similar to high level programming, we are able solve advanced problems, developing algorithmic skills, computational thinking. The advantage of Sprego is the simplicity of the language, when the emphasis is not on the coding but on the problem. Beyond that spreadsheets would provide real life problems with authentic data and tables which students are more interested in than the artificial environment and semi-authentic problems of high level programming languages.
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Maria Csernoch et al.MathematicsInterest Rate Conversion
http://epublications.bond.edu.au/ejsie/vol8/iss1/3
http://epublications.bond.edu.au/ejsie/vol8/iss1/3Mon, 26 Jan 2015 17:07:26 PST
The topic of interest rate conversion is part of the time value concepts covered in introductory finance courses. It is about establishing the equivalence of interest rates over different intra-year periods in compound interest settings. From our experience as instructors of such courses, the task involved is far from being a trivial algebraic exercise, and some students do have difficulties in understanding the underlying concepts. By using Microsoft Excel^{TM} as a pedagogic tool, this paper is intended to improve the clarity and the effectiveness in the delivery of the materials involved and help students appreciate better some of the corresponding practical nuances.
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Yi Feng et al.MathematicsBusinessEnabling students to make investigations through spreadsheets
http://epublications.bond.edu.au/ejsie/vol8/iss1/2
http://epublications.bond.edu.au/ejsie/vol8/iss1/2Sun, 18 Jan 2015 15:47:00 PST
Spreadsheets are widely used in education to save time and simulate many scenarios in many different disciplines. However, they are not usually employed to provide rich interactions in the class although they provide huge computational powers and relate data in different places. It is argued in this paper that spreadsheets could also be used as an empowering tool for making inferences in the class by enabling students to investigate an open-ended problem, to make discussions about the problem and to share their results by turning a spreadsheet into an empowering tool. Constructivist approach requires students make conjectures and test them through cognitive tools provided such as Dynamic geometry environments. User could be required to investigate an open-ended problem by the help of available macros or templates provided by the instructor in a spreadsheet. It not only motivates the user to participate in the class but also make them think about the problem at hand. Our approach is exemplified through macros prepared for a math class and divisibility features of binomial coefficients were investigated through spreadsheets in this paper.
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Erol -. KARAKIRIK -MathematicsPower System State Estimation using Microsoft Excel
http://epublications.bond.edu.au/ejsie/vol8/iss1/1
http://epublications.bond.edu.au/ejsie/vol8/iss1/1Tue, 18 Nov 2014 09:02:22 PST
This paper presents the design and development of a Microsoft Excel based tool for Power System Static State Estimation. This tool can be effectively used to understand the process of state estimation and its real-time application. The tool contains Newton-Raphson load flow that provides system measurements, which are used as inputs to the state estimator that uses the popular weighted least square (WLS) algorithm. The spreadsheet has features for corrupting the data to simulate wide ranging scenarios of data errors. With the user-friendly screens, this can be a versatile desktop tool for learning and experimenting with the Power System State Estimation. Different system loading and operating configurations and wide range of corrupted measurements can be simulated for obtaining the reliable state estimator. All intermediate numerical results are made available for verification purposes. For illustration IEEE 14 bus system is considered.
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K. S. Sastry Musti et al.MathematicsEngineeringStatisticsUsing Spreadsheets to Teach Signal Detection Theory
http://epublications.bond.edu.au/ejsie/vol7/iss3/4
http://epublications.bond.edu.au/ejsie/vol7/iss3/4Mon, 06 Oct 2014 23:02:29 PDT
Signal detection theory (SDT) is a mathematical framework for evaluating the performance of a detection system, which is broadly applicable across many academic and practical domains, including medicine, psychology, statistics and engineering. In this article, I present an interactive spreadsheet that allows students to systematically explore the function of the two key parameters of SDT: the decision criterion and discriminability. Stimulus distributions and ROC curves update in real time according to user input, thereby providing an intuitive visualization of the SDT parameters. The spreadsheet can be used to find an optimal decision criterion for a given level of discriminability, prior probabilities and payoff matrix. The article includes six problems and suggested answers that instructors may use in the classroom. The article concludes with a discussion of simple adaptions of the spreadsheet for teaching frequentist statistics and testing psychologically based models of detection.
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Christopher R. FisherMathematicsStatisticsModelling harvesting animal population at high school with spreadsheets â€“ the case of Moby Dick
http://epublications.bond.edu.au/ejsie/vol7/iss3/3
http://epublications.bond.edu.au/ejsie/vol7/iss3/3Wed, 27 Aug 2014 12:59:32 PDT
The paper gives the results of an experiment in which harvesting the world population of the Sperm whale was modelled and analyzed with 27 high school students of age 18-19 by using the Euler method of solving differential equations in Excel. A questionnaire survey was carried out to find out the opinion of the students of the lesson. The results are discussed.
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Jan Benacka et al.MathematicsBiology