User Manual - Mr Barton Maths
Contents
1. Suite 7 Express Product from the Formulator MathML Suite ActiveX ActiveX Mah MIETE plugin for Tarsia Weaver Control Performer XMLSpy Control General features availability free free free free free to run as a standalone application ar a to develop a new software lug in need third party software Basic editing features rendering of mathematical expressions editing of mathematical expressions 25 i T ux ar font styles font sizes a keyboard shortcuts rinting formulas ap ar Advanced editing features lzoom nested view 7 i ih 97 a or ii on the fly editing of MathML node properties MathML Tree editing mode ar hints on MathML tags attributes and values MathML Text editing mode a XHTML editing mode building of jig saw math puzzle by a template ap MathML support visual editing of Presentation Markup MathML ActiveX Express MathML IE plug in for Product from the Formulator MathML Suite Weaver Express Control ActiveX Performer XMLSpy Tarsia Control visual editing of Content Markup visual editing of Mixed Markup Express Product from the Formulator MathML Suite Express Activex ActiveX MARNIC IE plugin tor Tarsia Weaver Co2. e Identical to Ctrl K Tilde operator Ctrl K Alt e Almost equal to Ctrl K e Proportional to Ctrl K P e Therefore Ctrl Shift K T e There exists Ctrl Shift K E e For all Ctrl Shift K A e Not sign Ctrl Shift K N e Logical and Ctrl Shift K 7 e Logical or Ctrl Shift K Commands for items of Space toolbar e point space Ctrl Alt Space e Thin space 1 6 EM Ctrl Space e Thick space 1 3 EM Ctrl Shift Space e EM space Ctrl K 4 Commands for items of Operator toolbar e Plus minus sign Ctrl Shift K e Multiplication sign Ctrl K T e Asterisk operator Ctrl Shift K e Division sign Ctrl Shift K Dot operator Ctrl Shift K Bullet Ctrl Shift Kk 8 e Left pointing angle bracket Ctrl Shift K lt Right pointing angle bracket Ctrl Shift K gt Commands for items of the Arrow toolbar e Left right arrow Ctrl K Alt Left e Rightwards arrow Ctrl K Right e Leftwards arrow Ctrl K Left e Up down arrow Ctrl K Altt Up e Upwards arrow Ctrl K Up e Downwards arrow Ctrl K Down e Left right double arrow Ctrl K Alt Shift Left e Rightwards double arrow Ctrl K Shift Right e Leftwards double arrow Ctrl K Shift Left e Up down double arrow Ctrl K Alt Shift Up e Upwards double arrow Ctrl K Shift Up e Downwards double arrow Ctrl K ShifttDown e Rightwards arrow from bar Ctrl K Tab e Downwards arro
3. Preserves the current version of the activity that you are working on by saving it on disk Use the Save As command rather than the Save command whenever you want to save an untitled activity or when you want to save an activity under a new name in a different folder or in a different file format e Expression Library Opens the submenu that provides possibility to store activity expressions in the external libraries Expression Library submenu contains items for creation expression library New item importing expressions from the expression library Import item and exporting expressions to the expression library Export item e Print Ctrl P Prints the currently activity output table of paired expressions or solution This item is available in the views that offer some printed output e Page Setup Sets up the printing parameters e Properties Opens the dialog for viewing and editing the documents properties author institution comments e Most recently used files Up to four Tarsia files that you recently worked on are listed at the bottom section of the File menu You can re open any of these files just by choosing its name from this menu This is simply a convenient way to open a file saving you the step of locating the file on disk e Exit Alt F4 Terminates the Tarsia program If you have made changes to activities in open Tarsia windows you will be asked whether you want to sa
4. Ctrl A Commands for items of Labels toolbar e Right arrow with upper text slot Ctrl T Shift Right e Right arrow with lower text slot Ctrl T Alt Right e Right arrow with upper and lower text slot Ctrl T Right e Left arrow with upper text slot Ctrl T Shift Left e Left arrow with lower text slot Ctrl T Alt Left e Left arrow with upper and lower text slot Ctrl T Left e Double headed arrow with upper text slot Ctrl T Shift Up e Double headed arrow with lower text slot Ctrl T Alt Up Double headed arrow with upper and lower text slot Ctrl T Up Commands for items of Products toolbar e Product with no limits Ctrl T Shift P e Product with underscript limit Ctrl T Alt P e Product with underscript and overscript limits Ctrl T P Coproduct with no limits Ctr1 T Shift C Coproduct with underscript limit Ctrl T Alt C e Coproduct with underscript and overscript limits Ctrl T C e Intersection with no limits Ctrl T Shift 1 e Intersection with underscript limit Ctrl T Alt T e Intersection with underscript and overscript limits Ctrl T I e Union with no limits Ctr T Shift U e Union with underscript limit Ctr1 T Alt U e Union with underscript and overscript limits Ctrl T U Commands for items of Box toolbar Box Ctrl Shift T X Checking using the table of expressions When you create a hexagonal jigsaw or domino activity it
5. A e Volume integral with no limits Ctrl Shift LShift V e Volume integral with underscript limit Ctrl Shift LV e Volume integral with subscript limit Ctrl Shift Alt V e Integral with counter clockwise loop with no limits Ctrl Shift LShift Left e Integral with counter clockwise loop with underscript limit Ctrl Shift I Left e Integral with counter clockwise loop with subscript limit Ctrl Shift I Alt Left e Integral with clockwise loop with no limits Ctrl Shift LShift Right e Integral with clockwise loop with underscript limit Ctrl Shift I Right e Integral with clockwise loop with subscript limit Ctrl Shift L Alt Right Commands for items of Bars toolbar Tilde Ctrl e Hat Ctrl 6 e Arc Ctrl 9 e Joint status Ctrl J e Over bar Ctrl e Double over bar Ctrl D e Under bar Ctrl Double Under bar Ctrl Shift D e Right arrow over bar Ctrl Right e Left arrow over bar Ctrl Left Right harpoon over bar Ctrl Alt Right e Double headed arrow over bar Ctrl Up e Right arrow under bar Ctrl Shift Right e Left arrow under bar Ctr Shift Left e Right harpoon under bar Ctrl Alt Shift Right Double headed arrow under bar Ctrl Shift Up e Mid ine strike through Ctrl Alt e Strike through Ctrl X Strike through bottom left to upper right Ctrl Strike through top left to bottom right
6. ER ME 34 SAVING ACTIVITY DOCUMENT bet eoe pep boue ee ep eee e Duo dv aea 35 About Formulator Tarsia Formulator Tarsia makes it easy to create your own mathematical learning activities With this software you will easily be able to create print out save and exchange customised jigsaws domino activities and a variety of rectangular card sort activities The activities created using this software can be presented in printable form ready to cut out There are several types of activity e hexagonal jigsaws made up of equilateral triangles e different sets of rectangular cards with expressions e dominoes for a domino activity Products List of Formulator MathML Suite Hermitech Laboratory provides a range of different solutions based on the interactive mathematical expressions editor This set of products is known as Formulator MathML Suite Formulator MathML Suite comprises mathematical expressions editing based on MathML 2 0 standard o standalone editions Formulator MathML Weaver Formulator Express o component editions Formulator ActiveX Control Formulator Express ActiveX Control plug ins Formulator MathML IE Performer plug in for Internet Explorer Formulator plug in for Altova XMLSpy support of mathematics learning activities Formulator Tarsia The following table is a brief comparison between products of Formulator MathML
7. Shift H e Greek capital letter theta Ctrl G Shift Q e Greek capital letter iota Ctrl1 G Shift e Greek capital letter kappa Ctrl G Shift K e Greek capital letter lambda Ctrl G Shift L e Greek capital letter mu Ctr1 G Shift M e Greek capital letter nu Ctrl1 G Shift N e Greek capital letter xi Ctrl G Shift X e Greek capital letter omicron Ctrl G Shift O e Greek capital letter pi Ctrl G Shift P e Greek capital letter rho Ctrl G Shift R e Greek capital letter sigma Ctrl1 G Shift S e Greek capital letter tau Ctrl G Shift T e Greek capital letter phi Ctrl1 G Shift F e Greek capital letter chi Ctrl1 G Shift C e Greek capital letter psi Ctrl G Shift Y e Greek capital letter omega Ctr1 G Shift W Commands for items of Derivative toolbar e First derivative Ctrl Alt e Second derivative Ctrl Commands for items of Brackets toolbar e Parenthesis or round brackets Ctrl 9 e Brackets or square brackets Ctrl e Braces or curly brackets Ctrl e Angle brackets Ctrl e Single vertical bars Ctrl T e Left brackets Ctrl T Right brackets Ctrl T Left braces Ctrl T Right braces Ctrl T Left angle brackets Ctrl T Right angle brackets Ctrl T gt Commands for items of Fraction and roots toolbar Full size fraction Ctrl F Full size diagonal fraction Ctrl Slash fraction Ctrl T Alt Square root Ctrl R nth
8. displays the Zoom menu which allows you to change the viewing scale e Show Nesting Ctrl Shift N This command toggles the expression display between normal viewing mode and nesting mode where you can see the hierarchical structure of your expressions e Show Read Only Ctrl Shift R This command toggles the expression display between normal viewing mode and show read only nodes mode where you can see highlighted that nodes which can t be changed e Line Spacing This command displays a dialog box that changes default value of distance between neighbour lines Style menu e Math The Math style is the default style for typing mathematics When the current style is Math Tarsia assigns styles to certain kinds of characters automatically based on its knowledge of mathematics and typesetting conventions For instance if Tarsia recognises a sequence of alphabetic characters as a standard operator from MathML operator dictionary it will use the Operator style e Text Ctrl Shift E Use the Text style when you want to type a plain text e g in a natural language instead of in math e Function Ctrl Shift F Use this command to create a function name e Variable Ctrl Shift V Use this command to assign the Variable style to characters e Greek Ctrl Shift G This command allows you to use the keyboard to type Greek letters Once this style is active the letters you type will be given the Greek style You can al
9. is useful to check the expressions by viewing the pairs of equivalent expressions in a table The Table page makes it possible to browse and print the expressions presented in matching pairs in table format To open the Table view page select the button Table at the bottom navigation bar S e File View Window Help Ee Sa To print the table of paired expressions click the Print button on the Standard toolbar or select Print from the File menu Viewing the Output Formulator Tarsia allows you to preview an activity as it will appear when printed ready for cutting out Output view allows you to display the current activity and to use Zoom to change the size of the view For hexagonal jigsaws the level of magnification of the print out is controlled by the right hand navigation bar using the Normal size Large size 8x3 and Large size 24x1 The Large size buttons allow you to produce a large puzzle which might be helpful to learners with visual impairments The Simplified version of the hexagonal activity output gives only the central six triangles of the jigsaw Teachers and trainers can offer the simplified version of a jigsaw to learners who are finding the topic difficult and might benefit from a more limited choice of options However once learners have created the jigsaw the teacher or trainer could then release the remaining triangles to complete the 24 trian
10. 00 Ctrl 1 e Zoom 200 Ctrl 2 e Zoom 300 Ctrl 3 e Zoom 500 Ctrl 5 Zoom 1000 Ctrl 0 e Show Nesting Ctrl Shift N e Toolbar Ctri Alt B e Status Bar Commands for items of Style menu e Math Ctrl Shift M e Text Ctrl Shift E e Function Ctrl Shift F e Variable Ctrl Shift V e Greek Ctrl Shift G e Vector Matrix Ctrl Shift B e Fixed Ctrl Shift X e Operator Ctrl Shift O e User 1 Ctrl Shift U e User 2 Ctrl Alt Shift U Commands for items of Size menu e Smaller Alt lt e Larger Alt gt Commands for items of Window menu e Previous Input Alt Shift Up Next Input Alt Shift Down e Switch Input Shift Tab Commands for items of Help menu e Contents and Index F1 Navigation and Selection Commands for moving around and or selecting items in the current expression e Beginning of Slot Home e Delete Left Backspace e Delete Right Delete e End of Slot End e Move Down Down e Move Down Extend Selection ShifttDown Move Left Left e Move Left Extend Selection Shift Left Move Right Right e Move Right Extend Selection Shift Right Move Up Up e Move Up Extend Selection Shift Up e Scroll Up Page Up e Scroll Down Page Down Toolbar Commands Commands for items of Logics toolbar e Less than or equal to Ctrl K e Greater than or equal to Ctrl K e Not equal to Ctrl K
11. 4 equilateral triangular pieces and comprises of 30 pairs of like equations There are then 12 blank sides that make up the border of the hexagon Show this dialog on startup F Cancel e Select the type of activity you want to create from the list e Click the OK button The new activity of specified type will be opened in the working area Note The New Document dialog box appears at startup unless the show this dialog on startup box is unchecked Changing the default setting To change the default type of a new document select the appropriate type from the drop down list File Edit View Style Size Options Window Help Standard Presentation LE Gig ooc Standard Hexagonal Puzzle 24 pieces Domino gt Card gt Extended Hexagonal Jigsaw Puzzle 24 pieces Standard Triangular Jigsaw Puzzle 16 pieces Extended Triangular Jigsaw Puzzle 16 pieces Standard Rhombus Jigsaw Puzzle 18 pieces Hexagonal Jigsaw Extended Rhombus Jigsaw Puzzle 18 pieces Standard Parallelogram Jigsaw Puzzle 16 pieces Extended Parallelogram Jigsaw Puzzle 16 pieces Standard Square Jigsaw Puzzle 16 pieces Extended Square Jigsaw Puzzle 16 pieces Standard Rectangular Jigsaw Puzzle 12 pieces Extended Rectangular Jigsaw Puzzle 12 pieces Standard Parquet Jigsaw Puzzle 12 pieces Extended Parquet Jigsaw Puzzle 12 pieces Activity types and layouts The hexagona
12. Formulator Tarsia 2 0 User Manual Published By Hermitech Laboratory of Mathematical and Modelling Software Zhitomir UKRAINE E mail info hermitech ic zt ua Web http7 www hermitech ic zt ua Copyright 2003 2006 by Hermitech Laboratory of Mathematical and Modelling Software All rights reserved Table of Contents ABOUT FORMULATOR FIARSIXK oo SE REo s e ue bv SE Roo Fas sa eV eov euo ars OUR PE PET RE 4 PRODUCTS LIST OF FORMULATOR MATHML SUITE cereo ee eee nenne etta tn asse eese esa asas seen 5 WORKING WITH FORMULATOR esteso sese sese tete ee eese ease s e 7 CREATEAAANEW AGTIVETY a hi es tack oet RI tee des RE Bite tad ate to tad ote tas eso RG Lad 7 ences teet eas E tute este fe eco fte 7 Changing the default setting getestet rci e ran teg pets este rper gp te s 8 ACTIVITY TYPES AND LAYOUTS scuba Pn eset exec ee etes Pede Pe beet ead eee Poke weet 8 Hexagonal JIGSAW sesh tentem bd en ttem be e en Lite iren etidm s eren bets 8 Rectangular Cardo cA be e eet torte UA A ERI LA sedi MA beeen Gorn dun edet 9 A sie ede eate te hh Aah aise dni 9 FORMULATOR TARSIA INTERFACE Se nabh e R
13. dialog box allows you to choose a new type of activity and then open an empty activity document by using the OK button The new activity document will be untitled until you give it a name when you save it as a file using the Save or Save As commands on this menu e Open Ctrl O Opens an existing Tarsia file from the disk and displays it in a new window When you choose the Open command Tarsia displays the standard Open dialog box which lets you change drives and directories until you find the file you need and then open it either by double clicking or by using the OK button If you worked on a Tarsia file recently you may be able to open it more quickly by choosing its name from the bottom section of the File menu e Close Ctr F4 Closes the activity window If you have made changes to the activity in this window a dialog box will appear asking you if you want to save these changes You can also close a window by clicking the Close Box in the upper right corner of the window e Save Ctrl S Saves the current version of the activity that you are working on If your activity is untitled Save dialog box will appear so that you can choose a name for it Once an activity has been named and saved on disk using the Save command again will replace the previous version with the new one If you want to keep the previous version in addition to the new one use the Save As command described below e Save As
14. directly assigned a specific font and character style or can be of one of eleven styles Each style is defined as a combination of a font and character style By changing the style of a text fragment a user can quickly define its appearance and behaviour rules and by changing the definition of a style a user can quickly change the appearance of all the characters that use it The 11 styles available in Tarsia are Text Variable Function Greek Vector Matrix Number Fixed Operator Extra Math User 1 and User 2 Tarsia assigns styles to certain kinds of characters automatically based on its knowledge of mathematics and typesetting conventions This intelligent assignment of styles is a useful feature of Tarsia which can significantly simplify your work Assigning style Math to a set of characters a user can explicitly define this intelligent behaviour to be a rule for these characters Change the font size in an expression Tarsia provides default font sizes for each edit box in a mathematical expression There are four reserved cases of changing font size e regular text e large symbols like sums products integrals etc e Subscript superscript text e subscript superscript nested in the subscript superscript text subscript superscript of the next level You can allow Tarsia to select font size automatically or you can manually apply the size required using items if the Size menu If you think that t
15. e Other This command brings up the Other Size dialog allowing you to assign a font size to selected text or subsequently typed characters e Smaller Alt lt This command decreases a font size of selected text by 1 point e Larger Alt gt This command increases a font size of selected text by 1 point e Define This command brings up the Define Size dialog allowing you to change default characters sizes regular subscripts etc Options menu e Translate to MathML 2 0 This item selects whether a namespace will be used while converting mathematical expression to MathML Indents This item selects indents values for a document Window menu e Previous Input Alt Shift Up Switches to the editing area for the expression on previous card or to previous expression of current card Next Input Alt Shift Down Switches to the editing area for the expression on next card or to next expression of current card e Switch Input Shift Tab Switches between editing areas for paired expressions e Cascade Rearranges all open equation so they overlap in a cascade e Tile Tiles all open equation windows vertically e Arrange Icons Arranges the icons of the windows you have minimized neatly at the bottom left of the window e open windows The titles of all open activity windows are listed at the bottom of the Window menu You can bring any of these windows to the front just by choosing its name
16. e VR UR ee PR ERE SE REPE 10 SYSTEM MENU eet mie bu ice DR Lv Ice ced eda Etude cU Pe 10 STANDARD TOOLBAR tbe ap a E Re ot Eee 18 FORMULATOR EXPRESSION TOOLBARS cessere nen enne E E E EEEE ese tea sss tnn 18 BOTTOM NAVIGATION BAR 2 i ive ice te aste ite Uu t et e e HERD E RS 19 RIGHT HAND NAVIGA MON BAR etico eeetete teet tee ise Ye en tenerte e Rite 20 TIOCUMENT AREA 0 20 STATUS T ET rtr 20 INPUTTING THE EXPRESSIONO SS e edere toon eb Ce nes Eau eo o te aree e Pao vu ve no 21 STYLES OF EXPRESSIONS TEXT decern cheats etse teda ie teo eid Ae eo tiere tooth es 21 CHANGE THE FONT SIZE IN AN EXPRESSION cccccccceessececssscecesssececeessececseeeceessececeessececsseeceesseseceesseesesseecsesseeeeesaeens 22 ZOOM IN OR ZOOM OUT OF THE ACTIVITY ccccccesssscecesssececsssceceesseeecsessececeseeceessesecsesseeccsssseceenssecsessecessseeceessseeesenaes 22 KEYBOARD SHORTCUTS nte acfe e eene sede een Eam 22 CHECKING USING THE TABLE OF EXPRESSIONS cccssssssssscccsssscesccccccssssscssersccsssssscssecsesescsscesenssescsees 31 VIEWING THE ent Doo oleo Fa Ceu eh Urin EY RE Ya pe Ui ee EROR UU MS eV 32 VIEWING THE SOLUTION M H 33 PAGESELUPAND JPRIN EINQ che en pesos oea esee ea SR ago eS aeu eR ER GE Ee ER eae
17. ext should be of particular size there is an option to assign explicitly any font size between 5 and 127 points using the Other item of the Size menu Similarly items Smaller and Larger allow you to change the current font size by 1 point Default values of customised types of font size can be changed using dialog box Define size the Define item of the Size menu Zoom in or zoom out of the activity To maximize of minimize the size of the image on the screen you can use zoom from the View menu item Zoom This feature allows you to get a magnified or reduced view of an activity by choosing from the list of zoom scales 1 To choose the zoom scale for the view click the arrow next to the Zoom box on the Standard toolbar 2 Select the zoom scale you want Keyboard shortcuts Keyboard shortcuts activate some Tarsia operations by pressing the key combinations Note that some shortcuts require you to type two keystroke combinations consecutively Formatting Commands to format the equation elements e Insert Tab Tab e New Line Enter Menu Commands Commands for items of File menu e New Ctrl N e Open Ctrl O e Close Ctr F4 Save Ctrl S e Print Ctrl P e Exit Alt F4 Commands for items of Edit menu Undo Ctrl Z e Redo Ctrl Y Cut Ctrl X e Copy Ctrl C e Paste Ctrl V e Select All Ctrl A Commands for items of View menu e Zoom 1
18. f the style and size of the expression typed Ready Size Regular Style Math Zoom 200 NUM Inputting the Expressions The software provides an easy to use mathematical expressions editing tool to create expressions that appear on the cards for activities This tool is based on Hermitech Formulator 2 0 which allows you to create mathematical expressions through simple point and click techniques It has an intuitive and visually oriented interface similar to the most text editors for Windows Tarsia provides a large number of templates giving the possibility of constructing a wide range of mathematical expressions Input of the expressions 1 Select Input page using the Input button of the bottom navigation bar Essi f e File Edit View Style Size Options Window Help Standard j AJ e Bla 079 Er Navigation line presentation MathML pa Size Regular Style Math Zoom 100 4 A 2 Type the expressions using the keyboard and selecting the mathematical constructs from the toolbars When working with expressions you can use variety of Tarsia features management of the expressions styles and sizes zoom in to or zoom out of the expressions nested view export expressions in MathML format or into image You can use standard elements of user interface like menus toolbars and shortcuts Styles of expressions text Each character in a Tarsia expression can be
19. from this menu Help menu This menu contains commands that bring up Tarsia s online help or find out about the Tarsia application e g its version number e Contents and Index F1 This command displays the table of contents for Tarsia s online help e Index This command displays the index for Tarsia s online help Tip of the Day This command opens the Tip of the Day dialog e About Tarsia This command displays Tarsia s About box showing you o Theversion of the Tarsia application you are currently using o Hermitech Laboratory contact information Standard toolbar The Standard toolbar contains buttons for common operations from Tarsia menus New Open Save Cut Copy Paste Undo Redo Insert Image Zoom Filter and About Use these buttons just as you would use the equivalent menu commands see System Menu section for details D Buxaeejg oo 2 e J i New and Zoom buttons of the Standard toolbar have drop down lists that 3 allow choosing options of the operations Filter button provides switching between Normal and Simplified input modes of hexagonal jigsaw activities Normal Input mode provides access to a all the expressions of the jigsaw activity Simplified Input mode disables all the expressions that are not in the range of simplified version of jigsaw internal part of hexagon Formulator Expression Toolbars Formulator Ttarsia provide
20. g the equation to the Clipboard for transfer to a word processing document or before using the Backspace or Delete keys to delete the entire contents of the equation window e Insert Image Inserts an image from the disk into the expression at the insertion point or replaces whatever is selected with the image When you choose the Insert Image command Tarsia displays the standard Open dialog box which lets you find the file you need and then insert it either by double clicking or by using the OK button For this command to be successful the Clipboard must contain an image of Windows Bitmap Format bmp Graphic Interchange Format gif JPEG File Interchange Format jpg Portable Network Graphics Format png View menu e Change Layout This command changes the layout mode of toolbars There are two layouts avalable The first is the normal docked toolbars layout The second is tabbed toolbars layout e Toolbars Ctrl Alt B Opens submenu with items that toggles the display of the Standard toolbar or Expression toolbars A checkmarks next to this submenu items indicates that coresponding toolbars are currently displayed e Tabbed Toolbar Ctrl Alt B This command toggles the display of the tabbed toolbar in the tabbed toolbar layout mode e Status Bar This command toggles the display of the status bar A checkmark next to this menu item indicates that the status bar is currently displayed e Zoom This item
21. gle jigsaw The right hand navigation bar appears only in jigsaw activities the other types of activity have only the Normal size set by default The Normal output can always be enlarged if required on a photocopier To switch to output preview select the button Output in the navigation bar at the bottom of the window C anule e File View Window Help amp 7 1 Zoom 50 Viewing the Solution This view appears only in jigsaw and domino activities These are not intended for use by learners but while creating the activity you can see the solution of the activity presented on the Solution view This view makes it possible for you to display browse and print out the current activity solution The level of magnification of the view is controlled by the right hand navigation bar with buttons Full version shows the 24 piece jigsaw activity solution Simplified version displays the central six triangles only To switch to solution preview select the button Solution in the navigation bar at the bottom of the window C unya jasi e File View Window Help i i 1015 Page setup and printing Formulator Tarsia allows you to choose from many preset page sizes ranging from legal size paper and envelopes to the maximum page size the installed print driver supports The orientation of the page can be landscape or portrait With landscape orientation the pr
22. intout document width is greater than its height and with portrait orientation the printout document height is greater than its width Any pages you add to an activity project assume the current orientation The options you choose when specifying the page layout can be used as a default for all new drawings you create You can also adjust the page size and orientation settings to match the standard paper settings for printing The margins box is for setting the page margin measurements It is in inches or millimetres depending on the settings on your computer If you want to change the units for setting margins you must change the Regional Settings in Control Panel Formulator Tarsia lets you print the active document by clicking Print on the Standard toolbar creating one or more copies of the same jigsaw activity view except the Input view where this function is disabled It is possible to specify which pages of the current view to print for example the page range Printing into the file is also available Printing a view into a file instead of to printer saves the document in a format that a different printer can use For example if you want to have your document printed by a commercial printing service that uses higher resolution printers you can print the document to a file and then take that file to the commercial printer Note When printing to a file it is necessary to determine first which printer for example a PostScri
23. l jigsaw is made up of 24 equilateral triangles Each edge of each triangle has a mathematical expression on it Learners collaborate in groups placing pieces with matched equivalent expressions in turn to form a hexagon Using this software you can create two types of jigsaws Standard Hexagonal Jigsaw The standard jigsaw does not have expressions around the outside edges The edges provide learners with clues about how the jigsaw fits together Extended Hexagonal Jigsaw The extended jigsaw has expressions on the outside edges The extended jigsaw is more difficult as it is not obvious where the edges are As an extension activity learners might be asked to write their own expressions to match the outside expressions Further extension work can be produced by substituting some Rectangular Cards blank pieces into the activity b Simplified Versions There are also simplified versions of both of the above jigsaws These are six piece jigsaws with or without edge expressions that can be used to produce a simple jigsaw or provide a more straightforward starting point for learners who might find a full jigsaw rather daunting These can be accessed from the Right Hand menu options whenever the output or solution options are selected This software allows you to create different sets of rectangular cards with expressions for various activities that involve comparing mathematical expressions and matching equivalent ones Y
24. navigation bar j This navigation bar is located to the right of Document area and allows you to quickly jump to any of your expressions in order to edit them The number of the expression you are currently working on is darkened There are two types of navigation arrows single arrows to move the bar one place forward or back double arrows to move the bar by ten increments forward of back gsr ile re i Document area The document area is used for both entering the expressions in the editing slots and for viewing Editing slots are used when building mathematical expressions for activities cards for the Input view The viewing area is used for the other reasons e g browsing print preview etc Table Output Solution views When typing the mathematical expression the document area contains a slot or series of slots for expressions To build mathematical expressions please use the toolbar and insert the chosen expression slot in the cursor position type the text numbers or operators For Formulator Expression toolbar the keyboard shortcuts are also available Status bar This bar at the bottom of the screen reflects various kinds of status information about the Tarsia application The status bar changes respectively to the change the view type selected from the bottom navigation bar Its content varies from the indication of Zoom and NumLock switched on off up to indication o
25. ntrol Performer XMLSpy Control Import Export import from MathML text import from MathML tree to MathML F export to raster images 2 export to vector images ublishing mathematics on web a inserting images into documents integrating into Microsoft Word d ar ar Developing a new software import from MathML text import from MathML tree export to MathML lexport to raster images export to vector images manage the appearance of the control automate operations with the Clipboard automate styles automate sizes automate zoom feature automate nested view feature emulate user pressing a button 4 4 Working with Formulator Tarsia Create a new activity To create a new activity Select New on the File menu or click on the New icon on the Standard toolbar The New Document dialog box appears with the list of available types of activities The default activity type will be highlighted Jigsaw Domino Card Standard Extended Standard Extended Standard Extended Standard Hexagonal Hexagonal Triangular Ji Triangular Ji RhombusJi Rhombus Ji Parallelogra Extended Standard Extended Standard Extended Standard Extended Parallelogra Square Jigs Square Jigs Rectangula Rectangula ParquetJig Parquet Jig The standard jigsaw has 2
26. ou will find ideas for these activities in Improving learning in mathematics The dominoes can be created for a domino activity Learners could begin with the Start domino and then add dominoes so that the matching expressions are equivalent Blank dominoes can be provided from learners to extend the activity by creating their own expressions Replacing the START FINISH pair with equivalent expressions will create an activity that forms a continuous loop Formulator Tarsia interface The software contains the following menus windows and toolbars 1 System menu 2 Formulator Expression toolbar appears only on the Input view of activities 3 Standard toolbar NB if the Formulator Expression toolbar is active select Standard toolbar Tab 4 Bottom navigation bar 5 Right hand navigation bar appears in the input view and in other views when there are several options 6 Document area 7 Status bar It is possible to hide toolbars 2 3 and Status bar 7 if necessary e g to extend the viewing area To show hide toolbars and status bar use system menu view and click on them so that a tick appears disappears issue fos e File Edit view Style Size Options Window Help 1 e oa aln me o Naviga line presentation MathML pa Size Regular Style Math System Menu File menu e New Ctrl N Opens a dialog box New This
27. pt printer will ultimately print the file To do this on the File menu click Print In the Name box click the printer you will use to print the file Select the Print to file check box and then click OK In the File name box in the Print to file dialog box type a file name To print multiple copies On the File menu click Print In the Number of copies box enter the number of copies you want to print Saving activity document When you create a new activity you need to save it for later use To save an activity select Save from the File menu or click Save on the Standard toolbar If the activity is new then the Save As dialog box appears Using this dialog box navigate to the folder where you intend to save the activity In the File Name text box type a name for the activity To confirm saving click the Save button of the dialog box If the activity was previously saved the command Save replaces the copy on disk with whatever is in the Input window To save the activity without replacing the old copy select Save As from the File menu Save the worksheet under a different name
28. rl Shift K P e Parallel Ctrl Shift K D Commands for items of Greek Lo toolbar e Greek small letter alpha Ctrl G A e Greek small letter beta Ctrl G B e Greek small letter gamma Ctrl G G e Greek small letter delta Ctrl G D e Greek small letter epsilon Ctrl G E e Greek small letter zeta Ctr1 G Z e Greek small letter eta Ctrl G H e Greek small letter theta Ctrl G Q e Greek small letter iota Ctrl G I e Greek small letter kappa Ctrl G K e Greek small letter lambda Ctrl G L e Greek small letter mu Ctrl G M e Greek small letter nu Ctrl G N e Greek small letter xi Ctrl G X e Greek small letter omicron Ctrl G O e Greek small letter pi Ctrl G P e Greek small letter rho Ctr1 G R e Greek sigma symbol Ctrl G Shift V e Greek small letter sigma Ctrl G S e Greek small letter tau Ctr1 G T e Greek small letter upsilon Ctr1 G U e Greek small letter phi Ctrl G F e Greek phi symbol Ctrl G J e Greek small letter chi Ctrl G C e Greek small letter psi Ctrl G Y e Greek small letter omega Ctrl G W Commands for items of Greek Up toolbar e Greek capital letter alpha Ctrl G Shift A e Greek capital letter beta Ctrl1 G Shift B e Greek capital letter gamma Ctrl G Shift G e Greek capital letter delta Ctrl G Shift D e Greek capital letter epsilon Ctrl G Shift E e Greek capital letter zeta Ctrl1 G Shift Z e Greek capital letter eta Ctrl G
29. root Ctrl T N Commands for items of Script toolbar Superscript Ctrl H Subscript Ctrl L Superscript and subscript Ctrl J Over script Ctrl T Shift L Under script limit Ctrl T Alt L Over script and under script Ctrl T L Commands for items of Sum toolbar Summation with no limits Ctrl T Shift S Summation with underscript limit Ctr1 T Alt S Summation with underscript and overscript Ctr T S Commands for items of Integral toolbar Indefinite integral no limits Ctrl Shift L Definite integral with underscript and overscript limits Ctrl Shift 1S Definite integral with subscript and superscript limit Ctrl I Definite integral with underscript limit Ctrl Shift I Alt S Definite integral with subscript limit Ctr1 Shift L Alt 1 Double integral with no limits Ctrl Shift L Double integral with underscript limit Ctrl Shift 2 Double integral with subscript limit Ctrl Shift I Alt 2 Triple integral with no limits Ctrl Shift L Triple integral with underscript limit Ctrl Shift L3 Triple integral with subscript limit Ctrl1 Shift Alt 3 Contour integral with no limits Ctrl Shift I Shift C Contour integral with underscript limit Ctrl Shift 1 C Contour integral with subscript limit Ctrl Shift L Alt C Area integral with no limits Ctrl Shift LShift A Area integral with underscript limit Ctrl Shift I A e Area integral with subscript limit Ctrl Shift L Alt
30. s a template containing graphics and edit boxes for each basic mathematical construct Users can insert a template into activity documents via expression toolbar There are several battons on the toolbar containing palettes of homogeneous templates or symbols for fractions radicals sums matrices various types of brackets and braces etc 3 Fg 15 zs ms 2 E lab 59 SJ 1e LX 9 8 Expression toolbar templates comprises e relational and logical symbols e spaces templates e operator symbols e arrow symbols e set theory symbols e special constants e miscellaneous symbols e Greek characters lowercase e Greek characters uppercase e differentiation templates e fence templates e fraction and radical templates e subscript and superscript templates summation templates e integral templates e underbar and overbar templates e labeled arrow templates e products and set theory templates e table templates e box templates Bottom navigation bar This navigation bar is located under the Document area and allows you to switch between different views of an activity The bar changes according to the type of activity selected For instance hexagonal jigsaws and dominoes have 4 types of views Input Table Output Solution The rest of activities have the only Input and Output views lt gt OPES rene 5 Solution Right hand
31. so enter a single Greek letter by using the Ctrl G one shot keyboard shortcut or by using the Greek symbol palette e Vector Matrix Ctrl Shift B Mathematical vectors and matrices are given a bold character style Use this command to assign the Vector Matrix style to selected text or subsequently typed characters e Fixed Ctrl Shift X Use this command to assign the Fixed monospace style to characters e Operator Ctrl Shift O Use this command to assign the Operator style to characters which are not recognized as a standard operator e User 1 Ctrl Shift U e User 2 Ctrl Alt Shift U The User 1 and User 2 styles may be used the way you like Use the Define Styles dialog to assign a font and character style to each e Other This command brings up the Other Style dialog allowing you to assign a font and character style and colour to selected text or subsequently typed characters e Define This command brings up the Define Styles dialog allowing you to change the font and character style and colour assigned to each style Size menu e Large Symbol Use this command to assign the Large Symbol type of font size to characters e Regular Use this command to assign the Regular type of font size to characters e Subscript Use this command to assign the Subscript type of font size to characters Sub Subscript Use this command to assign the Sub Subscript type of font size to characters
32. ve those changes Edit menu e Undo Ctrl Z Cancels the last command as shown in the text of the menu item Every command can be undone back to the point at which the window was opened This item will be greyed out when there are no more commands to be reversed Redo Ctrl Y Repeats the most recent Undo command Every undone command can be restored e Cut Ctrl X Copies whatever is currently selected to the Clipboard and deletes it from the expression The expression is placed on the clipboard in two formats binary and textual MathML format Depending on the application that is accessing to this data one of these copies will be used automatically e Copy Ctrl C Copies whatever is currently selected to the Clipboard The expression is placed on the clipboard in two formats binary and textual MathML format Depending on the application that is accessing to this data one of these copies will be used automatically e Paste Ctrl V Inserts the contents of the Clipboard into the expression at the insertion point or replaces whatever is selected with the contents of the Clipboard For this command to be successful the Clipboard must contain a Tarsia Expression or a text If the text does not meet requirements of the MathML format it will be inserted literally e Select All Ctrl A Selects the entire expression including portions that may be outside the bounds of the window This command is useful for subsequently copyin
33. w with corner leftwards Ctrl K Enter Commands for items of Set toolbar e Element of Ctrl K E e Notan element of Ctrl K Shift E e Union Ctrl K U e Intersection Ctrl K X e Subset CtrI K CO e Superset Ctrl K S e Nota subset of Ctrl K Shift C e Empty set Ctrl KO Commands for items of Const toolbar e Partial differential Ctrl K D e Greek small letter pi Ctrl G P e Planck constant over two pi Ctrl K H e Infinity Ctrl KD Latin small letter lambda with stroke Ctrl K L e Script small 1 Ctrl Shift K L Commands for items of Misc toolbar e Fraktur capital I imaginary part Ctrl K Shift D e Fraktur capital R real part Ctrl K Shift R e Alef symbol Ctrl K A e Blackboard bold capital R the set of all real numbers Ctrl D Shift R e Blackboard bold capital Z the set of all integer numbers Ctrl D Shift Z e Blackboard bold capital C the set of all rational numbers Ctrl1 D Shift C e Blackboard bold capital Q the set of all rational numbers Ctrl D Shift Q e Blackboard bold capital N the set of all natural numbers Ctr1 D Shift N e Greek capital letter delta Ctrl G Shift D e Greek capital letter omega Ctr1 G Shift W e Inverted ohm sign Ctrl Shift K Shift O Degree sign Ctrl Shift k D e Angle Ctrl Shift K Shift A e Measured angle Ctrl Shift K Alt A e Spherical angle Ctrl Shift K Alt Shift A e Perpendicular Ct
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