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The Math App

The Math App

  • The examples show the use of the Context Menu for edits. 

  • While typing the terms can occasionally seem faster, we use the Equation Context Menu:

    • ​For demonstration reasons.

    • To show the value and Time Savings gained using that method. This menu usage enables Intelligent Notes to make accurate and useful suggestions and include auto-drawn arrows to the source and/or destination of the terms. 

    • The arrows to the source terms can be critical to learning for students new to the topic, as the term's source may not be obvious to all.

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Note on using the Context Menu for Copy/Modify/Paste

Editor Examples

LiveShare for students and teachers:

  • File Grab-Bar buttons with LiveShare and RaisedHand features. (here)

  • LiveShare feature with teacher sharing with multiple students. (here)

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Context Menu:

  • Opening the Context Menu. (here)

  • Context Menu Modification Options. (here)

  • Font Color Options and Row insertion. (here)

  • Alternate Paste Options with Calculator. (here)

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Sidebar and Header buttons:

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Duplicate Row and other features: ​

  • Distributive property. (here)

  • Ctrl-D  Duplicate Row and Remove Red Lines (here)

  • Create and paste Intelligent Notes . (here)

  • Group rows in to collapsible Sections. (here)

  • Change Font color. (here)

  • Use font colors and one-click copy/paste on complex solutions. (here)

  • Error free factoring. (here)

  • Use [ X/Y ] to create and use identity fraction. (here)

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Specialty Keyboards:

  • Ensure Accuracy with specialty soft keyboards and integrated calculator. (here)

  • Using integrated Calculator. (here)

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Drawings:

  • Create and Label drawings with simple copy/paste. (here)

  • Drawing shapes and Graphing Calculator. (here)

On this Page

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Colors:

  • Gray is not shared, Editable

  • Blue is currently shared, Read-only

  • Green is currently shared, Editable

Buttons

  • [ Prev Page ] will open the previous page in the file.

  • [ New Page ] creates a page at the end of the file.

  • [ Delete Page ] deletes current page.

  • [ Duplicate Page ]  creates a copy of the current page and puts it at the end. 

  • [ Hand ] turns orange to signal the teacher/tutor that help is needed.

    • Teachers can monitor the entire class, in-person and remote, and assist where needed. ​

    • Provides a private method for students to ask questions they may not wish to ask publicly.

    • Provides for students to work at different speeds and still get timely help when needed. 

  • [ Edit Request ] will set this account as the current editor. It doesn't fail. ​

    • Only one account is allowed to edit a file at a time. ​

  • [ Live Share ] will share this file/page with the accounts listed in the Register Page.

    • The Register Page setup is shown here.​

  • [ Next Page ] will open the next page in the file.

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File Grab-Bar

 Equation Context Menu

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  • Live Share can also be used for teaching.

  • This video shows one teacher and 3 students but other options are available. 

    • The number of students can be very large​.

    • The Students can be located in classroom or remote, or both. 

    • The in classroom could also directed onto a large screen for the whole class. 

  • Other benefits of this method

    • The solution can include much more detailed annotations for explanation than is typically done on a whiteboard. 

    • The solution can be included with the homework files, so students have instant access to the class lecture. 

  • This example shows the Share contact's list includes the students with which we're sharing.

  • It shows the shared file automatically shows up when shared. 

  • This example does NOT use 3rd party sharing apps like Zoom or GoToMeeting. 

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Live Share Teaching

  • Open with Right-Click on an equation opens a menu where a side or row is selected.

    • Left side, Right side or Equals cell (whole row). Selection can be changed by choosing one of the three buttons at the top of the menu. Note the current selection will be inserted on paste. 

    • If opened with an Active Selection, that is set to the current.

  • Open with the hot-key  Ctrl-M  (for keyboards) 

  • Open with [ Menu Button ] or Virtual Mouse (for tablets)

    • Equation Menu

      • Selection Menu is same with one field.

    • Comment Menu.

    • Drawing Menu.

Equation Context Menu

Modification Options:​​

Row 1:

  • [ Plus ]  insert a Plus sign on left side of Selection.

  • [ Minus ] insert a Minus sign on left side of Selection.

  • [ (...) ]     wrap Selection in Parenthesis.

  • [ 1/X ]    create a fraction with one over the Selection.

  • [ X/Y ]   create an Identity Fraction from the 2 sides of the Selection.  Subsequent click flips the fraction.

  • [ Sqrt ]  wrap Selection inside Square-root symbol.

  • [ Sq ]      raise the Selection to the power of 2.

  • [ Plus ]   insert a Plus sign to right side of Selection.

Row 2:​

  • [ [...] ]       wrap Selection in Square Brackets.

  • [ {...} ]      wrap Selection in Braces.

  • [ Plus/Minus ]  Insert the plus/minus symbol on left side of Selection.

  • [ X/box ] create a fraction with Selection over an Empty Box. Subsequent click will flip the fraction to put Empty Box in numerator.

  • [ Copy note/color ] Include the Row Note and any color in the Selection.

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Color selection:

  • [ Green ] The Math App typically uses Green to mark the answer. Simple Right-click and clicking this button marks the selection to Answer. 

  • [ Highlight ] Highlights selection yellow.

  • [ Font Red ]         Changes font color to Red.

  • [ Font Green ]    Changes font color to Green.

  • [ Font Orange ] Changes font color to Orange.

  • [ Font Blue ]       Changes font color to Blue.

  • [ Font Default ] Changes font color to Black.

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Row insertion types:

  • [ Cmt Above ]  Insert a comment row above Selection.  (closes the menu)

  • [ Cmt Below ]  Insert a comment row below Selection.   (closes the menu)

  • [ Eq Above ]     Insert an equation row above Selection. (closes the menu)

  • [ Eq Below ]      Insert an equation row below Selection. (closes the menu)

  • [ Drawing ]        Insert a drawing row below Selection.     (closes the menu)

  • [ Insert into Cmt ] Removes the row label and notes and formats for a comment.

  • [ Del Row(s) ]   Delete the Selected row.                                (closes the menu)

  • [ Esc  - Close ] Close this menu. [Escape key] also works.

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These are simple modifiers
and Row insertion.

Calculator options row:

  • Calculate the result if terms are Numeric.

  • [10^x] will change the result to exponential mode.

  • [.00]  will increase or decrease the significant figures. 

Alternate Paste behaviors:

  • [ Locate Cursor ] enables the use of arrow keys to position the cursor for the insertion.

    • Touch Devices: Arrow keys are on the left side bar help for placement as location with finger touch is difficult.​

  • [ ->2x ]         will change the Selection's in place.

  • [ ->2x-del ]  will change the Selection's in place and read-line the selection.

  • [ Swap Sides ] Swap the sides of an equation row. Note that > or < are NOT considered during this swap. (closes the menu)

  • [ Do It (Enter) ] With [ Locate Cursor ] set, clicking here or <Enter> will paste at the cursor. (closes the menu). 

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Calculator options row:

  • [ Group ] the selected rows into a section that can be collapsed/expanded. 

  • [ Hide/Show ]  all Note Shapes

  • [ Note Shapes ]  Insert a Note Shape from dropdown menu.

  • [ Delete ] Note Shapes.

  • [ Clear ]  Row colors. 

  • [ Row color ]  Opens row color menu. 

  • [ Cell color ]  Opens cell color menu. 

  • [ Font color ]  Opens font color menu . 

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Touch device cursor control: 

  • [ Mouse ] opens a virtual mouse for pixel accurate placement, using finger (or mouse) control.

  • Shift-Arrow is the most common method for selection.  [ Shift-Lock ] and [ Arrows ]  (with home/end) on the editor's left sidebar provide accurate and simple selection on Touch devices.

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  • The Distributive Property is shown using the Context Menu and canceling terms with red-lines. 

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  • The Duplicate Row feature, also shown, uses Ctrl_D to copy the equation and removing the red-lined terms.

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  • Selection is done using several methods that are common to standard editors. 

  • The Math App has several ways to make this easier. These also open the Context Menu:

    • Right-Click a cell selects the side.

    • Right-Click the Equal's cell selects the row.

    • Right-Click a comment selects the comment.

  • Shift-Arrow is the most common method:

    • [ Shift-Lock ] and [ Arrows ] on the editor's left sidebar provide it's use on Touch devices.

  • Cursor Drag-Select works but can be difficult with small terms especially on touch devices.

    • A virtual [ Mouse ] helps with cursor placement to provide pixel accurate placement. 

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  • The units are red-lined using Shift-Arrow-Delete and Ctrl-D to copy the equation/row and removes the red-lined terms.

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  • The Integrated Calculator feature is demonstrated here by selecting the numerical terms and Ctrl-R to calculate the terms, red-line the selected terms and insert the Result.

  • The Intelligent Notes feature demonstrated here, generates comment suggestions based on previous operations.

 

  • Mathematics often requires use of existing terms to modify an equation. Right-Click selection works for editing but knowing where terms are from is critical for learning.​​

  • The Row-Note comment fields on rows B2 and B3 are hidden and the arrows that terminate in those notes are hidden when the [>] button is clicked. 

 

  • The Group-Hide feature demonstrated here hides rows that have been grouped using the Section Group feature. The [ Label B- ] is clicked to hide the B-Section.

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  • The Font-Color feature shown here uses the Right-Click selection and font color button. 

  • Right-Click Select and Touch-Paste are used to replace the terms in a calculus formula .

 

  • Font colors make it easy to both find the terms to paste into the equation and track the terms source and eventual usage.

  • Right-Click Select is used to group like-terms together implementing the associative property. 

 

  • Then Inserting parenthesis and using Shift-Arrow/Delete to red-line, in this case cos(2x) and sin(2x). 

 

  • Ctrl-D duplicates the row and leaves the Factored terms grouped within the parenthesis.

  • Right-Click Select is used on the equality cell to select the whole row.

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  • The [X/Y] and [( )] buttons used to create an identity term that is pasted into the equation and used to convert miles to feet and then from feet to meters. 

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  • Shift-Arrow-Delete will then be used to red-line the canceled units and Ctrl-D to drop them.

  • Specialty Soft Keyboards, like the Chemistry Keyboard used here, ensures accuracy by inserting complex values directly from the periodic table.

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  • Shift-Arrow is used to red-line canceled units and Ctrl-D to drop them.

 

  • The Integrated Calculator feature is demonstrated here by selecting the numerical terms and Ctrl-R to calculate the terms, red-line the selected terms and insert the Result.

  • Right-Click Select and Touch Paste are used to label the sides of a right triangle directly from equations in the problem statement, after it is inserted using the Drawing Menu and clicking the [ Rt-triangle ] shape button. 

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  • Right-Click Select and Touch Paste are also used to copy the Pythagorean theorem equation and square-root both sides at the same time with a simple click of the [sq-root] button.

  • To use the Integrated Calculator, select the terms to be calculated. In this case Shift-Home is used to select all the terms before the units (m).

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  • Ctrl-R calculates and red-lines the terms and inserts the result.

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  • This feature ensures fewer mistakes compared to manually entering the terms into a calculator and transferring the result. 

Editor Header: 

  • [ Esc... ] buttons provide the expected function as the short-cuts normally used on physical keyboard.

  • [ Deg/Rad ] button sets Degrees or Radians for trigonometry calculations.

  • [ Copy ] same as [ Ctrl-C ] 

  • [ Paste ] same as [ Ctrl-V ] 

  • [ Zoom ] in or out, same as [ Ctrl+- ]

  • [ Menu ] opens the Context Menu, same as Right-Click.

  • [ PopUp ] hide/show pop-up tool tips.

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  • Right-Click a drawing to open the Drawing Context Menu. 

  • Select the desired shape and touch the drawing to place the shape.

  • Resize the shape using the top-left Cursor which resizes around the center point. 

  • Relocate the shape using the center cursor.

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