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-usFri, 07 Aug 2015 01:49:52 PDT3600Another 101 Uses for a Binary Table and a Spreadsheet
http://epublications.bond.edu.au/ejsie/vol8/iss2/7
http://epublications.bond.edu.au/ejsie/vol8/iss2/7Wed, 05 Aug 2015 21:52:02 PDT
The purpose of this paper is to broaden the scope of a previous paper and show applications of a varied nature using the binary table to generate data on which mathematical investigations can be based. Elementary applications considered are the “coins problem”, a binary card trick, Killer Sudoku, and expressing integers in terms of others in specified ways.
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John E. Baker et al.Mathematics101 Applications for a Binary Table and a Spreadsheet
http://epublications.bond.edu.au/ejsie/vol8/iss2/6
http://epublications.bond.edu.au/ejsie/vol8/iss2/6Wed, 05 Aug 2015 16:27:13 PDT
The purpose of this paper is to show how to create a binary table in Excel and to give applications of a varied nature using the binary table to generate data on which mathematical investigations can be based. Elementary applications considered are the binary form of an integer, the concept of power set, and sampling distributions.
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John E. Baker et al.MathematicsPythagorean Theorem with Hippocrates’ Lunes
http://epublications.bond.edu.au/ejsie/vol8/iss2/5
http://epublications.bond.edu.au/ejsie/vol8/iss2/5Sat, 01 Aug 2015 00:27:04 PDT
Is it possible to place a lune on the hypotenuse of a right triangle whose area is equal to the sum of the areas of the other two lunes placed on the legs of the triangle? In this article, I use dynamic geometry software and spreadsheets in an attempt to answer this question along with the conditions satisfying the existence of such a lune. This in the classroom article also offers a method of investigating a trigonometric equation involving two variables using spreadsheets and dynamic geometry snapshots that are presented in a manner that complements the analytic and the visual approaches. I conclude by reinforcing the idea that the Pythagorean Theorem is indeed a relationship of areas, with or without the restriction that the lunes placed on the sides of a right triangle be similar.
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Gunhan CaglayanMathematics