Interactive Greatest Common Factor Activity

The new interactive greatest common factor activity at helps students master the process of finding the greatest common factor. This interactive activity can be used as either an online or offline activity. In the online mode student can enter their answer directly in the activity and the computer will tell them when they have the correct answer. They can keep changing their answer until they get it correct. This will help students master the process of finding greatest common factors. The page starts out with 6 problems and more problems can be added.

To use the offline mode simply print the page and the computer takes care of making sure that it is nicely formatted. After you have printed the worksheet make sure to click the answer key to fill in all of the correct answers and then you can print your answer key. Both the worksheet and answer key have the same timestamp to help you keep track of which answer key goes with which worksheet.

The program makes sure that their are no duplicate questions.

Tips for finding greatest common factors. 
Find the factors of each number just as described in the factors activity the largest number in both lists is you answer.

Make a factor tree of both numbers and cross out the leaves not in both trees. Multiply the leaves in one tree together and that is your greatest common factor.

Example:
Find the GCF of 12 and 16.

Factor Tree of 12  2 × 6 2 × 2 × 3 Common leaves 2 × 2 × 3

Find the GCF of 16 4 × 4 2 × 2 × 2 × 2 Common leaves 2 × 2 × 2 × 2

Multiply the common leaves together: 2 × 2 = 4. Therefor the greatest common factor is 4.

Remember the tips for finding factors 2 through 10.
2: If the last digit of the number is even (0,2,4,6,8)then then number is divisible by 2.

3: If the sum of the digits is divisible by 3 then the number is divisible by 3. For example 21 would be 2 + 1 = 3 which is divisible by 3 so 21 is divisible by 3.

5: If the last digit of the number is 5 or 0 then the number is divisible by 5.

6: If the number is divisible by 2 and 3 the number is divisible by 6.

10: If the last digit of the number is 0 then the number is divisible by 10.

Interactive Finding Factors Activity

The new interactive factors activity at helps students master the process of finding factors. The interactive factors activity can be used as either an online or offline activity. In the online mode student can enter their answer directly in the activity and the computer will tell them when they have gotten the correct answer. They can keep changing their answer until they get it correct. This will help students master the process of finding factors. The page starts out with 12 problems and more problems can be added as they finish.

To use the offline mode simply print the page and the computer takes care of making sure that it is nicely formatted. After you have printed the worksheet make sure to click the answer key to fill in all of the correct answers and then you can print your answer key. Both the worksheet and answer key have the same timestamp to help you keep track of which answer key goes with which worksheet.

The program makes sure that their are no duplicate questions. So if you limit the factors to 20 then you can have no more than 20 questions.

Tips for quickly finding factors. 
How many numbers do I need to check?
Check each integer that divides the number you are looking for the factors of until the divisor is larger than the answer.

For example when finding the factors of 20 you get the following answers.
1 / 20 = 20
2 / 20 = 10
3 / 20 = 6 remainder 2
4 / 20 = 5
5 / 20 = 4 We can stop here because the 4 is smaller than 5.

Tips for 2 through 10.
2: If the last digit of the number is even (0,2,4,6,8)then then number is divisible by 2.

3: If the sum of the digits is divisible by 3 then the number is divisible by 3. For example 21 would be 2 + 1 = 3 which is divisible by 3 so 21 is divisible by 3.

5: If the last digit of the number is 5 or 0 then the number is divisible by 5.

6: If the number is divisible by 2 and 3 the number is divisible by 6.

10: If the last digit of the number is 0 then the number is divisible by 10.

Graphing Resource

I just rolled out a new graphing resource at aschool.us/graphs. This new tool allows you to quickly create SVG graphs which you can then download and edit further with an SVG editor such as Insckape or Adobe Illustrator. Currently it only does horizontal, bar, and line graphs with or without grid lines. The plan is to have this website be a resource for teachers when teaching students how to make graphs and have some interactive graphs to help students learn how to read graphs.

Would love to hear any feedback.

ASchool.us Random Student Selector Update

Just got through adding two new features to the Random selectors are of ASchool.us/random. I added a menu so that you can easily see what other random script options are available. I also added a feature where you can save the list that you typed to your browser using the HTML5 local storage feature. This means that you list of names is save to the local browser and will persist across sessions, while nothing is saved on the server. Rebooting or closing your browser is not a problem. Your list will still be there if you want to use it, but you do not have to.

Subtraction & Multiplication Interactive Math Worksheets

Two more activities have been added to the series of interactive math worksheets available at aschool.us/scripts/math

• Interactive Multiplication Table:
  Simply set the size of the multiplication table and students can then fill in the answers. The computer will check their work as they go. Indicating if it is right or wrong with red and green backgrounds.
• Interactive Subtraction Worksheets
• Interactive Subtraction 1 Worksheet:
  Subtraction problems with only positive answers. Like all of the other worksheets you can check your answers as you go, print the worksheet and answer key.
• Interactive Subtraction 2 Worksheet:
  Subtraction problems with positive and negative answers. Like all of the other worksheets you can check your answers as you go, print the worksheet and answer key.

Printable Interactive Math Worksheets

Sample

The first in a series of interactive math worksheets is now available at
Interactive Addition Practice
Interactive Multiplication Practice

Features:

• Each time you visit the page a new set of problems will be displayed. 
• You can check your work as you go by typing them below the problem to see if you got the right answer or you can display all of the answers to print an answer key.
• Typing the answers online also keeps track of your current score for the worksheet.
• By default 1 row of problems are shown but more can be added a row at a time. 
• The worksheets are also very print friendly, in that they remove all excess instructions, links, etc.... 
• You can adjust the size of the problems at the top of the page.

Please leave suggestions on how to improve these pages. 

Over 1,000,000 math fact problems solved!

We are excited to share that over 1 million math fact problems have been solve at aschool.us/math. Over 880,000 of them were solved correctly giving a student an accuracy of 86%.

How to draw a simple figure using Inkscape

This tutorial demonstrates how to draw a simple character using a few basic tools found in Inkscape. The tutorial could easily be adapted to most any other vector based drawing program such as Adobe Illustrator or Corel Draw.

How to draw a simple heart

This simple tutorial demonstrates how to create a simple heart using Inkscape (www.inkscape.org). It can be adapted to most any other vector based drawing program such as Adobe Illustrator or Corel Draw.

Moodle & Mahara and other updates at ASchool.us

System Update:
Moodle has been upgraded to verstion 2.1.

Mahara as been added to the list of programs available at ASchool.us/moodle. Mahara is an electronic portfolio system that can be connected to Moodle through SSO. I've outlined a few of the great features that can make students lives easier.

• Single sign-on (SSO):
  Allows users to login to moodle and then move straight into Mahara without having to sign in again.
• Export Activities to Mahara from Moodle:A teacher can specify which assignments may be exported to Mahara.
• Drag and drop design interface:
  In Mahara students can create their portfolio through dragging and dropping documents, images, rss feeds, journal entries, etc... and add descriptions and comments where needed.

Course Development:

Integrating Technology and Education is a four week course that will help teachers use technology more effectively. It will cover the following topics through discussion, assignments, and group activities:

• Presentations, projectors, and document cameras
• Tools for students
• Managing technology
• Online resources

Students will interact with each other through a variety of online systems. The tools that you learn to use in this class will be tools that you can take with you to the classroom not just tools that you wish you could have.

Gimp for Educators is a self-paced course designed to help you learn to quickly and easily use different features in Gimp (www.gimp.org) to manipulate images and photos. The course is presented through both written and video instruction with help available through class forums. 

Tablet Exploration

I just ordered three Archos 7" tablets for my classroom from woot.com for $75 each. Sure it is an older version of the Android OS but all I was wanting it for was basic web browsing and videos. I'll post more about them when I receive them, the are in the mail but I will not get them for a while since I have to double ship them to get them to Alaska. Over the past several years I have toyed with the idea of creating a web based student response system (SRS) but never had the time to create it. At my previous teaching assignment I enjoyed using Quizdom's Q5's but can't justify the expense in my current position. While searching for educational blogs for an Integrating Technology and Education class that I am developing I came across socrative.com which fits the bill of what I was wanting to create.At this point the website is free.

Review:
I spent a few minutes testing out the features of socrative they seem to be well thought out and worked just fine on my desktop and iPod.

Pros:
Cheap as in free
Easily add impromptu questions.
Easy for students to login and learn.
Both asynchronous and synchronous quizzes.
Visually simple design

Cons:
Not sure how long the website will be around.
You have to enter all of the questions.

Conclusion:
Great website that I am looking forward to using in my classroom.

Interactive Clock

Here is a resource that I just finished creating to help students explore how to read time on an analog clock. It allows the student to jump to a specific time or increment the time forward or backward by hours, minutes, or seconds.



You may integrate this into your website using the following html code:
<iframe frameborder="1" height="225" src="http://aschool.us/resources/clock.php?size=200" width="500"></iframe>

Please feel free to leave any questions, improvement suggestions, etc.. in the comments below.

For all your random needs

I just finished adding a new random feature to the list of programs that are available at aschool.us
For your convenience here is a description to each of the random programs that are currently available:

• Random Student Selector
  Given a list of names it will randomly select a name. You can continue to select names as long as you want. The program will attempt to favor names that haven't been picked but repeats can occur.
  
• Random Student Selector Flash
  This is a flash based version of the previous program. One advantage of this version is that names can be added while selecting names. This can be an advantage for students that come in late.
  
• Random Group Generator
  The random group generator can divide up students into a specific number of groups or specific sizes of groups. You have the option of either maximizing the group size or attempting to keep them balanced.
  
• Random Group Mixer
  The random group mixer takes two lists of names and pairs names in each group together. If one group is larger than the other then some pairs will include more than two names.

Free Software for the Classroom Compilation

I'm working on making a compilation on a DVD of educational software that can enhance student learning and productivity. Here is a list of the programs that I'm planning on putting on the disc. Please feel free to add your suggestions. Many of the programs are open source while others are simply free.

Office/Desktop Publishing:

• Open Office (Win, Mac, Lin) http://www.openoffice.org
  Create and edit office documents.
  
• Scribus (Win, Mac, Lin) http://scribus.net
  I've used this for creating yearbook, newsletters, brochures, and event programs.
  
• PDF Creator (Win) http://www.pdfforge.org
  Create a PDF file from any program that can print.

Graphics:

• Gimp (Win, Mac, Lin) http://www.gimp.org
  Photo editor. I've used this program extensively for editing images from simple crops to image creation.
  
• Picasa (Win, Mac, Lin) http://picasa.google.com
  Photo album. Can be used to create basic video clips or slide shows. I used this extensively to organize the files for the yearbook this past year and found the face recognize feature very useful.

Organizational:

• Xournal (Win, Lin) http://xournal.sourceforge.net
  Digital paper, can be use with a smart board or to annotate PDF files. For our daily grammar activities in class I would scan them to a PDF and then my students or myself would mark them up using a Wacom Bamboo pad as students called out corrections.
  
• FreeMind (Win, Lin, Mac) http://freemind.sourceforge.net
  Concept/Mind-mapping software. Students used this extensively to create study guides. Very quick and easy to use.
  
• Dia (Win, Mac, Lin) http://dia-installer.de
  Create diagrams and flow charts. I used this more in the past but it is still a good piece of software.

Audio/Music/Video:

• VLC (Win, Mac, Lin) http://www.videolan.org/vlc
  Plays most any audio or video file.
  
• Audacity (Win, Mac, Lin) http://audacity.sourceforge.net
  Sound file editor/recorder. I've used this program extensively when creating my online spelling tests. Both the Windows and the Linux versions.
  
• MuScore (Win, Mac, Lin) http://musescore.org
  Musical score editor. I have not used this very much yet but plan on using it in the classroom this next year.
  
• OpenShot (Lin) http://www.openshotvideo.com
  Video editor. I just started using this program this last spring and am very impress with its offerings.

Science:

• Celestia (Win, Mac, Lin) http://www.shatters.net/celestia/
  Allows you to explore space from your desktop
  
• West Point Bridge Building Software (Win, Mac) http://bridgecontest.usma.edu
  Bring the engineering lab to your classroom. This software allows you to build and test bridges within the confines of your classroom.
  
• Google Earth (Win, Mac, Lin) http://google.com/earth
  Explore the world. Note: Internet connection required.
  
• Online Interactive Science Simulations (Win, Mac, Lin) http://phet.colorado.edu
  Excellent science lab activities that can be done and manipulated on the computer.

Internet:

• Google Chrome (Win, Lin) http://google.com/chrome
  Alternate web browser.
  
• FireFox (Win, Mac, Lin) http://www.mozilla.org
  Alternate web browser
  
• Thunderbird (Win, Lin) http://www.mozilla.org
  Email client
  
• FileZilla (Win, Mac, Lin) http://filezilla-project.org
  Transfer files to a server using FTP, SFTP, or SCP.
  
• WinSCP (Win) http://winscp.net/eng/index.php
  WinSCP allows you to securely copy to a server Linux or other SSH/SFTP server .
  
• Putty (Win) http://www.chiark.greenend.org.uk/~sgtatham/putty
  Allows secure communication and tunneling with an SSH server.

Misc:

• Word Search Creator (Win, Lin) http://wordsearchcreator.org
  Create word searches that can be printed.
  
• Hot Potatoes (Win, Mac, Lin) http://hotpot.uvic.ca
  Create a several different electronic activities such as word sorts, crossword puzzles, matching, and multiple choice activities.
  
• GnuCash (Win, Mac, Lin) http://www.gnucash.org
  Persona/Business accounting software. I have not yet integrated this into my classroom but I'm working on it and see that it has some great potential.

Computer Maintenance:

• CCleaner (Win, Mac) http://www.piriform.com/products

Word Fun

A classmate of mine shared this website with me that she uses to help her with an icebreaker activity. The website is Wordle.net. You can make interesting word designs patterns given a list of words. Here is a sample that I made using a list of prepositions. I'm sure that I will come up with some more creative uses for it as I later.

Word Scramble Creator

ASchool.us is pleased to offer yet another script to help make your teaching life simpler. Especially for you moodlers. The Word Scramble Creator is a simple web application that takes a list of words and scrambles the the letters of each word. The student then has to unscramble the letters. The output is very simple friendly so that it can be printed or copied to a word processor.

Here is a sample of what the output looks like.

Sample Scramble

Unscramble the following words.
bmelsrca: ________________________
wodr: ____________
nrrageote: ___________________________

Created at www.ASchool.us/scripts/scrambler.php

You can find the Word Scramble Creator at http://www.aschool.us/scripts/scramble.php

Math Facts Approaches 600,000 Correct Student Responses

I was creating some statistics from data at Math Facts this afternoon and realized that there are 600,000 correct student responses to math fact questions so I decided that again it was time to crunch some numbers.

Statistics:
Accuracy of student responses 87.1%
732,620 addition and multiplication problems solved.
638,347 addition and multiplication problems solved correctly.

Multiplication:
464742 multiplication problems solved at 87.51% accuracy.
Average time to correctly respond to a question was 2.049 seconds.
Fastest response times: 0.05 seconds to 2 × 1 and 0.062 seconds to 1 × 1

Addition:
267878 addition problems solved at 86.48% accuracy.
Average time to correctly respond to a question was 2.692 seconds.
Fastest response times: 0 seconds to 1+2, 0.116 seconds to 1+5.

Note that some of these statistics include times when students goof around and try to complete the activity as quickly as possible not paying attention to accuracy at all. But this is a very small percentage overall.

Observations:
I find it interesting that students respond on average about 0.5 seconds slower to addition problems than multiplication. Also it is interesting that the accuracy of the addition is 1% less than that of multiplication.

Graphing Multiple Inequalities Using Two Variables.

First graph each equation as explained in my previous post but only shade lightly. Next determine if the problem is asking for the intersection (and) or union (or).
If it is an intersection then the solution for the system of two or more equations is only where all of the graphs overlap.
If it is a union it is where any of the shading is located.

Be careful of infinite solutions and no solutions.

For example: Graph the equations y > 3x - 2 and y < x + 2.
First graph y > 3x - 2.

Since, this is a greater than equation like to make a little arrow pointing up indicating which side of the line will be shaded.

Now graph y < x + 2

Again, I like to make little arrow indicating which side of the line the shading is on.

Now shade where both lines are.

Give it a try.

Moodle XML Grading Assistant

I just finished writing a new web app that can save you some time, the Moodle XML Grading Assistant. The Moodle XML Grade Assistant allows you to quickly create an XML (or csv) file that can be imported into Moodle. Here is a list of the features:

Step 1

• Simple to use 
• Quick Fill. Fill in the same value for all student.
• You can bookmark your class roster so that you do not have to type it in every time. 
• Once grade values have been entered that can be modified. 
• iPod/iPhone compatible (with easy enter number pad)
• Optimized tab strokes. 
• Blank grades will not be over written.

Instructions:

First you will need a list of student ID numbers. The easiest way to get this is to do a gradebook export to either Open Office, Excel, or csv format.

Step 2

Next make sure that all assignments that you want to grade have and ID number. The fastest way to enter these is through the calculations link of one of the categories in the grade book. You cannot modify them there but you can see what they are and enter them.

Go to http://aschool.us/m/g/ and enter your roster with one line per student. First enter the student's ID number followed by a comma and their name. Note that their name is only for your reference while interacting with the web page. When you are finished click next.

Step 3:

If you are satisfied with your class roster you can bookmark it so that you don't have to type it in again. Nothing is saved on the server it is all encoded in the URL. Now enter the ID number for an assignment and points possible for the assignment. Note that the points possible is only for your reference. Click next. 

To enter the scores simply type in the number. Pressing tab will move you to the next save button and then the next text box. The number pads are for easy entry while using a touch screen device.

If you need to go back and modify a score the simply click the assignment ID at the bottom of the page, change your value and click save.

When are finished click download. You will be prompted for a place to save the file. Next go to Moodle and import the file from your grade book menu.

Your data is temporarily saved on the server while you are working on it. Pressing the reset link at the bottom of the the page will clear out all of the data from the server.

Future:

If I see that people are interested in this I'll enable the email feature so that you can truly enter your grades from your portable device. Currently you can enter them but it makes it pretty hard to save them from the portable device.

History:

One of my frustrations with Moodle is the ability to quickly enter grades into the grade book. You can import CSV files but that takes a while because you have to match up all of the titles manually. This could still save time if you a have a large class but my classes tend to be small. Next I looked into the XML import option but that wasn't very helpful because it was so hard to edit and add information. 

Xournal for Windows

Xournal is a note taking program that I've been using on Linux for several years and has finally been ported to Windows. This is great for those of us that work in hybrid environments. Thanks Dirk for posting your work and thanks Denis for making Xournal. Here are the directions of what Dirk did to get Xournal working on windows (http://dirkgerrits.com/2009/10/28/xournal-on-windows/). Now you can download the binary and simply extract the zip archive and double click the exe to run. I didn't even have to install it (download Xournal). Xournal is similar to Microsoft Windows Journal or to other alternatives such as Jarnal, Gournal, and NoteLab.

I quickly test the software on Windows Vista and the PDF annotation and export appear to work fine. It even opened the annotations that I made in Linux and stored in my DropBox. This is great since I've been wanting to be able to open my files at school from home and vice-versa.