# Introduction to using visual representations in math

## Using visual representations to support inductive reasoning and abductive reasoning of 15 year old students in discovering mathematical patterns

... Vietnam In this trend, we choose: Using visual representation to support inductive reasoning and abductive reasoning of 15- year- old students in discovering mathematical rules” as a topic of this ... occurrence and outcome of three types of reasoning 2.1.3.2 In terms of the purpose of using each kind of reasoning 2.1.3.3 In terms of the level of certainty of outcome The certainty of the conclusions ... INDUCTIVE REASONING AND ABDUCTIVE REASONING 4.1 Effect of visual representation on discovering number sequence by inductive reasoning and abductive reasoning 4.1.1 The abductive strategies used in discovering...
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## Introduction to using macros in Microsoft Excel 2003 pot

... handling will be discussed in section 12.1 An example of using Dim in a procedure is: Guide 39: Introduction to using macros in Microsoft Excel 2003 15 Sub example() Dim myint As Integer myint ... (representing Spring, Summer, Autumn, Winter) that puts, in cell S3, Guide 39: Introduction to using macros in Microsoft Excel 2003 33 Spring for months to Summer for months to Autumn for months to ... PC Service machines The following screenshot was taken using Office 2002: Guide 39: Introduction to using macros in Microsoft Excel 2003 19 It can be very instructive to look at macros written...
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## Introduction to using macros in Microsoft Excel 2003 phần 1 pps

... Guide 39: Introduction to using macros in Microsoft Excel 2003 Introduction In Excel, you can automate tasks by using macros A macro is a set of instructions that tells Excel what to These commands ... Reference button It will appear to be “pressed in with a border around it Guide 39: Introduction to using macros in Microsoft Excel 2003 Microsoft Excel will continue to record macros with relative ... macro Address_rel 11 Click OK Now test the button 12 Click in any cell (J13 for example) 13 Click on the Address button Guide 39: Introduction to using macros in Microsoft Excel 2003 Your address...
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## Introduction to using macros in Microsoft Excel 2003 phần 2 pot

... -3.4 028 23E28 to -1.40 129 8E-45 for negative values; 1.40 129 8E-45 to 3.4 028 23E38 for positive values Double -1.7976931348 623 2E308 to –4.9406564584 124 7E- 324 ; 4.9406564584 124 7E- 324 to 1.7976931348 623 2E308 ... using Dim in a procedure is: Guide 39: Introduction to using macros in Microsoft Excel 20 03 15 Sub example() Dim myint As Integer myint = End Sub A variable declared in a procedure is local to that ... menu bar Guide 39: Introduction to using macros in Microsoft Excel 20 03 Select the text in the Name: box and type &Macros Press the Enter key The ampersand (&) in front of the M indicates that M...
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## Introduction to using macros in Microsoft Excel 2003 phần 3 pps

... PC Service machines The following screenshot was taken using Office 2002: Guide 39 : Introduction to using macros in Microsoft Excel 20 03 19 It can be very instructive to look at macros written ... in your macro will be highlighted in yellow Guide 39 : Introduction to using macros in Microsoft Excel 20 03 21 Edit the statement containing the error The yellow arrow in the margin will remain, ... line does and can be very helpful if you are having difficulty in getting a macro to work as planned 22 Guide 39 : Introduction to using macros in Microsoft Excel 20 03 Move to a blank sheet in...
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## Introduction to using macros in Microsoft Excel 2003 phần 4 doc

... (representing Spring, Summer, Autumn, Winter) that puts, in cell S3, Guide 39: Introduction to using macros in Microsoft Excel 2003 33 Spring for months to Summer for months to Autumn for months to ... ActiveCell.Offset(1,0).Select GoTo begin Guide 39: Introduction to using macros in Microsoft Excel 2003 35 10 Passing information There are a couple of easy ways of passing information between you and ... R1C1 in FormulaR1C1 can be omitted and, if you wish, the two lines can be combined into Range("D5").Formula = "=R[-3]C[2]-R[-1]C[2]" Guide 39: Introduction to using macros in Microsoft Excel 2003...
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## Introduction to using macros in Microsoft Excel 2003 phần 5 ppt

... your loop, increase r (using the 40 Guide 39: Introduction to using macros in Microsoft Excel 2003 statement r = r + 1) so that you deal with G4, G5, and so on, in turn (Solution in section 16.2) ... something like Cells(counter,1).Value = counter + 50 Example The following code will add up the numbers from to 50 , using a variable called total (initialised to zero) total = For index = To 50 total ... column number of the first column in that range Some examples may help to clarify this Guide 39: Introduction to using macros in Microsoft Excel 2003 43 Example The instruction ActiveCell.End(xlDown).Select...
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## Introduction to using macros in Microsoft Excel 2003 phần 6 ppt

... CommandButton2 to CancelButton Finally, change the name and caption of UserForm1 itself: Click in a clear region of UserForm1 to select it Guide 39: Introduction to using macros in Microsoft Excel 2003 ... where the button is to appear Guide 39: Introduction to using macros in Microsoft Excel 2003 49 • drag to the size required The layout of the user form is to be as shown below Drag the bottom right-hand ... data value Guide 39: Introduction to using macros in Microsoft Excel 2003 55 Do the calculation Store the answer in the cell to the right of that value Activate the cell containing the next data...
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## Question Bank Introduction to .NET and Programming in C#

... void Print(object[] arr){ foreach(object p in arr) System.Console.WriteLine(p); } public static void Main(){ string s= "Programming in c#" ; char[] separator={' '}; string[] words=s.Split(separator); ... following is a valid variable in C#? a) c) _Class b) 39 Class Class d) @class Basic input and output operations are performed in C# using the methods of the class in the _namespace a) InputOutput,Class ... with respect to destructors a) Destructors can be invoked c) When an instance is explicitly destructed, the destructors in an inheritance chain are called in order, from most derived to least derived...
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## an elementary introduction to groups and representations - b. hall

... one -to- one and onto, then φ is called an isomorphism An isomorphism of a group with itself is called an automorphism Proposition 1.11 Let G and H be groups, e1 the identity element of G, and ... are non-compact: O(n; C) and SO(n; C); O(n; k) and SO(n; k) (n ≥ 1, k ≥ 1); the Heisenberg group H; Sp (n; R) and Sp (n; C); E(n) and P(n; 1); R and Rn ; R∗ and C∗ It is left to the reader to provide ... Rudin, Real and Complex Analysis, Chap 9, Ex 17.) If G and H are matrix Lie groups, and there exists a Lie group isomorphism from G to H, then G and H are said to be isomorphic, and we write...
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## Chapter 1 Introduction to the Visual Studio 2005

... ĐẶT Visual Studio. NET 2005 Nhấn Next CÀI ĐẶT Visual Studio. NET 2005 § Thường Key có sẵn Nhấn Next CÀI ĐẶT Visual Studio. NET 2005 Lựa chọn yêu cầu phần khoảng trống ổ cứng Chú ý CÀI ĐẶT Visual Studio. NET ... MSDN (Help) 12 CÀI ĐẶT MSDN (Help) 13 CÀI ĐẶT MSDN (Help) 14 Introduction § Visual Studio NET Ÿ Framework Ÿ Microsoft’s Integrated Development Environment (IDE) 15 The NET Framework § The Common ... Allows users to search for a particular help topic Filters can be use to narrow the search § Dynamic help Ÿ Provide a help topic based on the mouse location Ÿ Displays relevant topics in the dynamic...
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## Chapter 1 Introduction to the Visual Studio 2010

... HO CHI MINH CITY UNIVERSITY OF INDUSTRY Chapter 1: Introduction to the Visual Studio 2 010 Author: Duy Thanh Tran – Phone : 09877730 61- Email: thanhxeiko@gmail.com – Blog: http://thanhxeiko.wordpress.com ... What’s the NET Framework & What it contains What C# is &How a C# Program runs What you Learn in this chapter? Visual Studio 2 010 & C# DEMO C# Console Author: Duy Thanh Tran – Phone : 09877730 61- ... CLR Evolution of the C & C++ languages Why C# ? Syntax is simple Directly accessing & manipulating system memory Incorporate the best features from other languages & Clearing up their problems...
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## Chapter 1 Introduction to the Visual Studio 2005

... Terminating the program  Click the close button (x in the top right corner)  Or click the End button in the toolbar © Slide 26 Introduction to C# Programming  Console applications  No visual components ... 1 INTRODUCTION Visual Studio. NET  Included in Visual Studio. NET  Visual Basic (VB.Net, VB 8.0)  C++  C# (C Sharp)  J++ (J Sharp)  NET Framework © Slide Introduction Visual Studio ... © Slide 31 Ex :Welcome1.cs // Fig 3 .1: Welcome1.cs // A first program in C# using System; class Welcome1 { static void Main( string[] args ) { 10 11 12 } Console.WriteLine( "Welcome to C# Programming!"...
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