Everyone's Blog Posts - Mathematics 24x72017-10-21T23:07:17Zhttp://mathematics24x7.ning.com/profiles/blog/feed?xn_auth=noPythagorean Triplettag:mathematics24x7.ning.com,2015-05-06:2957074:BlogPost:471022015-05-06T11:21:22.000ZBrinda Rameshhttp://mathematics24x7.ning.com/profile/BrindaRamesh
<p><br/>To verify a pythagorean triplet check if it has no common factor. <br/>Then if the smallest number is even then equate to 2m, check for m^2 - 1, m^2 +1.<br/>If the smallest is odd then equate to sqrt of 2m+1, find m and m+1.</p>
<p><br/>To verify a pythagorean triplet check if it has no common factor. <br/>Then if the smallest number is even then equate to 2m, check for m^2 - 1, m^2 +1.<br/>If the smallest is odd then equate to sqrt of 2m+1, find m and m+1.</p>Rational Numberstag:mathematics24x7.ning.com,2015-01-29:2957074:BlogPost:461022015-01-29T07:16:08.000ZBrinda Rameshhttp://mathematics24x7.ning.com/profile/BrindaRamesh
<p><a href="http://api.ning.com:80/files/OQUYcE3T7kbmspV85ynPtcryDIMRPq5NFTEp2UEoKDo*9L67izU3ECvb6P47fffV-W3dORG2RKYADX24y5z6fdvLcUSY*0ji/RationalNo.pptx" target="_self">Rational%20No.pptx</a></p>
<p><a href="http://api.ning.com:80/files/OQUYcE3T7kbmspV85ynPtcryDIMRPq5NFTEp2UEoKDo*9L67izU3ECvb6P47fffV-W3dORG2RKYADX24y5z6fdvLcUSY*0ji/RationalNo.pptx" target="_self">Rational%20No.pptx</a></p>Connected Wiki Classroomstag:mathematics24x7.ning.com,2013-07-24:2957074:BlogPost:409632013-07-24T16:49:54.000ZRashmi Kathuriahttp://mathematics24x7.ning.com/profile/RashmiKathuria
<p></p>
<p><span>I am glad to share with you a dummy wiki set up for those Math teachers who are interested in creating online wiki classrooms 24x7 to bridge a gap which is created after school hours when a student needs a support system.</span></p>
<p><span><span>We all have experienced through three dimensions of teaching learning of Mathematics, which are a Mathematics classroom with an instant board, Mathematics laboratory and a multimedia enriched classroom in the school. The 4th dimension…</span></span></p>
<p></p>
<p><span>I am glad to share with you a dummy wiki set up for those Math teachers who are interested in creating online wiki classrooms 24x7 to bridge a gap which is created after school hours when a student needs a support system.</span></p>
<p><span><span>We all have experienced through three dimensions of teaching learning of Mathematics, which are a Mathematics classroom with an instant board, Mathematics laboratory and a multimedia enriched classroom in the school. The 4th dimension is an element of expanded classroom i.e. an online wiki classroom. Technology is advancing with the speed of light. There is no dearth of offline tools, web tools and software which can help a teacher in making joyful learning environments for their students. The use of technology provides opportunities for students to investigate and apply the things they are learning in the classroom. It allows students to interact, create, present and provide a meaningful and purposeful learning activity that is connected to classroom curriculum and goals. </span></span></p>
<p><span><span>Its URL is <a href="http://wikiideas4mathteaching.pbworks.com/w/page/63642440/FrontPage">http://wikiideas4mathteaching.pbworks.com/</a><a href="http://wikiideas4mathteaching.pbworks.com/w/page/63642440/FrontPage"></a></span></span></p>
<p></p>
<p><span><span>Feel free to post your comments.</span></span></p>
<p></p>
<p></p>WIRIS news #6tag:mathematics24x7.ning.com,2012-04-20:2957074:BlogPost:334142012-04-20T15:04:50.000Zcarles_wirishttp://mathematics24x7.ning.com/profile/carleswiris
<p><span>WIRIS formula editor 3, compatible with mobile devices, is now available for Moodle 2. Check our latest newsletter at </span><a href="http://www.wiris.com/en/news/newsletter-6-april-2012" rel="nofollow" target="_blank">www.wiris.com/en/news/newsletter-6-april-2012</a><span> and subscribe to it at </span><a href="http://www.wiris.com/en/newsletter" rel="nofollow" target="_blank">www.wiris.com/en/newsletter…</a></p>
<p></p>
<p><span>WIRIS formula editor 3, compatible with mobile devices, is now available for Moodle 2. Check our latest newsletter at </span><a rel="nofollow" href="http://www.wiris.com/en/news/newsletter-6-april-2012" target="_blank">www.wiris.com/en/news/newsletter-6-april-2012</a><span> and subscribe to it at </span><a rel="nofollow" href="http://www.wiris.com/en/newsletter" target="_blank">www.wiris.com/en/newsletter</a></p>
<p><a href="http://www.wiris.com/system/files/attachments/1202/WIRIS_editor_for_iPad.png" target="_blank"><img src="http://www.wiris.com/system/files/attachments/1202/WIRIS_editor_for_iPad.png?width=320" width="320" class="align-center"/></a></p>WIRIS free resourcestag:mathematics24x7.ning.com,2012-04-20:2957074:BlogPost:332612012-04-20T11:10:20.000Zcarles_wirishttp://mathematics24x7.ning.com/profile/carleswiris
<p>Dear colleagues,</p>
<p>We have created a free repository of math questions at <a href="http://www.STEMcollection.com" target="_blank">www.STEMcollection.com</a>. Up to date, there are slightly over 3000 questions in the repository, all of them created by teachers and shared under a Creative Commons licence.</p>
<p>If you would like to participate, you can:</p>
<ul>
<li>Point your students to the URL of any random exercise for training purposes, as they have fix URLs. For example: …</li>
</ul>
<p>Dear colleagues,</p>
<p>We have created a free repository of math questions at <a href="http://www.STEMcollection.com" target="_blank">www.STEMcollection.com</a>. Up to date, there are slightly over 3000 questions in the repository, all of them created by teachers and shared under a Creative Commons licence.</p>
<p>If you would like to participate, you can:</p>
<ul>
<li>Point your students to the URL of any random exercise for training purposes, as they have fix URLs. For example: <a href="http://collection.wiris.com/resource.php?p=1000912">http://collection.wiris.com/resource.php?p=1000912</a></li>
<li>Download the questions to your own VLE if you're using Moodle</li>
<li>Create and share your own work either using your VLE or requesting a Content Creator account from me (carles@wiris.com)</li>
</ul>
<p>Sharing your questions can earn your institution a free licence for the WIRIS suite for mathematics: <a href="http://www.wiris.com/en/news/free-wiris-licenses">www.wiris.com/en/news/free-wiris-licenses</a>.</p>
<p></p>
<p>Looking forward to your collaboration,</p>
<p> Carles Aguiló</p>Math and PBLtag:mathematics24x7.ning.com,2012-01-11:2957074:BlogPost:321212012-01-11T03:30:13.000ZTelannia Norfarhttp://mathematics24x7.ning.com/profile/TelanniaNorfar
<p>Mathematics is a rich and complex subject filled with real life application. However, due to the pressure of the "test" and the mass amount of material, teachers find themselves getting through the content by lecture and drill. As Dan Meyer says, "The mathematics classroom needs a make over." Telannia Norfar, BIE National Faculty, will take you through Project Based Learning process which combines mastery of mathematics content and communication/collaboration/critical thinking skills.…</p>
<p>Mathematics is a rich and complex subject filled with real life application. However, due to the pressure of the "test" and the mass amount of material, teachers find themselves getting through the content by lecture and drill. As Dan Meyer says, "The mathematics classroom needs a make over." Telannia Norfar, BIE National Faculty, will take you through Project Based Learning process which combines mastery of mathematics content and communication/collaboration/critical thinking skills. Experience a "made over" mathematics classroom and then understand how to create a classroom make-over.</p>
<p><i>The webinar is offered at two different times on the same day.</i></p>
<p><strong>Date:</strong> Wednesday, January 11, 2012<br/><strong>Time:</strong> 12:00 PM - 1:00 PM Pacific Time<br/>Space is limited</p>
<p> </p>
<p><strong>Date:</strong> Wednesday, January 11, 2012<br/><strong>Time:</strong> 3:00 PM - 4:00 PM Pacific Time<br/>Space is limited.</p>
<p> </p>
<p>You can register at <a href="http://www.bie.org/services/webinars/math_and_pbl/">http://www.bie.org/services/webinars/math_and_pbl/</a></p>
<p> </p>Infographicstag:mathematics24x7.ning.com,2011-12-21:2957074:BlogPost:319512011-12-21T13:20:06.000ZColleen Younghttp://mathematics24x7.ning.com/profile/ColleenYoung
<p>Colin's link to the blog post on causation reminded me of the post I wrote on my blog recently on infographics.</p>
<p>There are some excellent examples available.</p>
<p></p>
<p>You can see the examples and resources <strong><a href="http://colleenyoung.wordpress.com/2011/12/19/infographics-for-mathematics/" target="_blank">here</a></strong>.</p>
<p>Colin's link to the blog post on causation reminded me of the post I wrote on my blog recently on infographics.</p>
<p>There are some excellent examples available.</p>
<p></p>
<p>You can see the examples and resources <strong><a href="http://colleenyoung.wordpress.com/2011/12/19/infographics-for-mathematics/" target="_blank">here</a></strong>.</p>The Math Connection discussion group on LinkedIntag:mathematics24x7.ning.com,2011-12-17:2957074:BlogPost:317092011-12-17T21:59:31.000ZColin McAllisterhttp://mathematics24x7.ning.com/profile/ColinMcAllister
<p>A discussion group with over 2300 members. Created by Andrei Radulescu-Banu for discussing mathematics in K-12, primary and secondary school. Do create your own topic for discussion. There is likely to be a quick response and active debate. This group is open to anyone on LinkedIn.</p>
<p><a href="http://www.linkedin.com/groups?about=&gid=1872005" target="_blank">http://www.linkedin.com/groups?about=&gid=1872005</a></p>
<p>A discussion group with over 2300 members. Created by Andrei Radulescu-Banu for discussing mathematics in K-12, primary and secondary school. Do create your own topic for discussion. There is likely to be a quick response and active debate. This group is open to anyone on LinkedIn.</p>
<p><a href="http://www.linkedin.com/groups?about=&gid=1872005" target="_blank">http://www.linkedin.com/groups?about=&gid=1872005</a></p>Dated Magic Squarestag:mathematics24x7.ning.com,2011-11-14:2957074:BlogPost:300022011-11-14T08:23:45.000ZRashmi Kathuriahttp://mathematics24x7.ning.com/profile/RashmiKathuria
<p>Today I blogged about how to create a dated magic square? Visit the link <a href="http://mykhmsmathclass.blogspot.com/2011/11/dated-magic-square.html">http://mykhmsmathclass.blogspot.com/2011/11/dated-magic-square.html</a></p>
<p> </p>
<p> </p>
<p>Today I blogged about how to create a dated magic square? Visit the link <a href="http://mykhmsmathclass.blogspot.com/2011/11/dated-magic-square.html">http://mykhmsmathclass.blogspot.com/2011/11/dated-magic-square.html</a></p>
<p> </p>
<p> </p>Mathematical Randomness, coming soontag:mathematics24x7.ning.com,2011-08-15:2957074:BlogPost:257072011-08-15T03:57:23.000ZAnne Donovanhttp://mathematics24x7.ning.com/profile/AnneDonovan
I came up with the idea of making a blog called Mathematical Randomness. Every two days, or so, I'll go to the World of Mathematics website, read a random article, and come back here and blog about what I read and any questions I have. I think my first blog will be on direction fields. I came up with this idea when looking at an old diify-q book.<br />
<br />
Wolfram Mathworld<br />
<br />
<a href="http://mathworld.wolfram.com/">http://mathworld.wolfram.com/</a>
I came up with the idea of making a blog called Mathematical Randomness. Every two days, or so, I'll go to the World of Mathematics website, read a random article, and come back here and blog about what I read and any questions I have. I think my first blog will be on direction fields. I came up with this idea when looking at an old diify-q book.<br />
<br />
Wolfram Mathworld<br />
<br />
<a href="http://mathworld.wolfram.com/">http://mathworld.wolfram.com/</a>Mathematics bookstag:mathematics24x7.ning.com,2011-08-11:2957074:BlogPost:252322011-08-11T19:19:01.000ZAnne Donovanhttp://mathematics24x7.ning.com/profile/AnneDonovan
<p>Knowing this is Mathematics 24x7, many have probably read mathematical books for the fun of it. Who is your favorite author?te Mine is Ivars Peterson.</p>
<p> </p>
<p><a href="http://www.amazon.com/wiki/Ivars_Peterson/ref=ntt_at_bio_wiki">http://www.amazon.com/wiki/Ivars_Peterson/ref=ntt_at_bio_wiki…</a></p>
<p></p>
<p>Knowing this is Mathematics 24x7, many have probably read mathematical books for the fun of it. Who is your favorite author?te Mine is Ivars Peterson.</p>
<p> </p>
<p><a href="http://www.amazon.com/wiki/Ivars_Peterson/ref=ntt_at_bio_wiki">http://www.amazon.com/wiki/Ivars_Peterson/ref=ntt_at_bio_wiki</a></p>
<p><a href="http://www.amazon.com/Ivars-Peterson/e/B001IXPZ08/ref=sr_ntt_srch_lnk_1?qid=1313090211&sr=8-1">http://www.amazon.com/Ivars-Peterson/e/B001IXPZ08/ref=sr_ntt_srch_lnk_1?qid=1313090211&sr=8-1</a></p>Exploring Discussion Forums - An article for free download - With thanks to members of this grouptag:mathematics24x7.ning.com,2011-05-13:2957074:BlogPost:200082011-05-13T20:30:00.000ZColin McAllisterhttp://mathematics24x7.ning.com/profile/ColinMcAllister
Rebecca Hanson and I have just finished writing this article, inspired by discussions we had on this and other online forums. Talking about maths and education here motivates us to continue exploring the subject. We try to understand online discussions about mathematics education, and give practical tips about using forums. Free PDF or DOC at:…
Rebecca Hanson and I have just finished writing this article, inspired by discussions we had on this and other online forums. Talking about maths and education here motivates us to continue exploring the subject. We try to understand online discussions about mathematics education, and give practical tips about using forums. Free PDF or DOC at: <a target="blank" href="http://www.linkedin.com/redirect?url=http%3A%2F%2Fwww%2Escribd%2Ecom%2Fdoc%2F55142332%2FExploring-Discussion-Forums&urlhash=9lwz&_t=tracking_anet" rel="nofollow">http://www.scribd.com/doc/55142332/Exploring-Discussion-Forums</a>Paper-Folding using Interactive Geometry Softwaretag:mathematics24x7.ning.com,2010-07-22:2957074:BlogPost:111322010-07-22T23:30:00.000ZColin McAllisterhttp://mathematics24x7.ning.com/profile/ColinMcAllister
<p style="text-align: left;"><font size="2"><img src="http://api.ning.com/files/pdV44*L7m-4GDLQasaW5r3b0UhGlb3-bWehQ*KLijNJYVBiKth1wIq8NDNjBGhpUknC3IW-8r6iVUaOUBRcFj4pnpGVk5t2M/CircleOnEquilateral.png?width=300" style="float: left;"></img></font></p>
<p><font size="2"><strong style="font-weight: normal;">Interactive geometry programs such as <a href="http://www.geogebra.org/">GeoGebra</a> and <a href="http://carmetal.sourceforge.net/">CaRMetal</a> are powerful tools for learning about geometry. You can use them to explore the basic principles of paper-folding (Origami). I learned about the mathematics of folding paper circles from:…</strong></font></p>
<p style="text-align: left;"><font size="2"><img style="float: left;" src="http://api.ning.com/files/pdV44*L7m-4GDLQasaW5r3b0UhGlb3-bWehQ*KLijNJYVBiKth1wIq8NDNjBGhpUknC3IW-8r6iVUaOUBRcFj4pnpGVk5t2M/CircleOnEquilateral.png?width=300"/></font></p>
<p><font size="2"><strong style="font-weight: normal;">Interactive geometry programs such as <a href="http://www.geogebra.org/">GeoGebra</a> and <a href="http://carmetal.sourceforge.net/">CaRMetal</a> are powerful tools for learning about geometry. You can use them to explore the basic principles of paper-folding (Origami). I learned about the mathematics of folding paper circles from:</strong> <span style="font-weight: normal;">"<a href="http://mathfuture.wikispaces.com/Circle+origami+axioms">Circle Origami Axioms</a>", on</span> Maria Droujkova's</font> <font size="2"><span style="font-weight: normal;">Math 2.0 Interest Group.</span></font> <font size="2"><strong style="font-weight: normal;">I wondered if a rule for folding paper circles would apply to other shapes, and chose to explore triangles.</strong></font> <font size="2"><strong style="font-weight: normal;">An interesting configuration of folds is discovered when the triangle is equilateral.</strong> <strong><span style="font-weight: normal;">Using simple tricks, such as hidden line removal, the geometry diagram simulates a folded piece of paper. You can download</span></strong> my paper "<a href="http://i2geo.net/xwiki/bin/view/Coll_colinmca/Paper-FoldingusingInteractiveGeometrySoftware">Generalisation of a Paper-Folding Axiom and its Exploration using Interactive Geometry Software</a>"</font> <font size="2">and the data files for <a href="http://i2geo.net/xwiki/bin/view/Coll_colinmca/GeogebrafilesforPaper-FoldingusingInteractiveGeometrySoftware">Geogebra</a>, <a href="http://i2geo.net/xwiki/bin/view/Coll_colinmca/DrGeofilesforPaper-FoldingusingInteractiveGeometrySoftware">Dr Geo</a> and <a href="http://i2geo.net/xwiki/bin/view/Coll_colinmca/CaRMetalfilesforPaper-FoldingusingInteractiveGeometrySoftware">CaRMetal</a> from <a href="http://i2geo.net/" target="_blank">i2geo.net</a>. You can also download the <a href="http://www.scribd.com/doc/34784270/Paper-Folding-using-Interactive-Geometry-Software">PDF file from Scribd.com</a>. The paper is condensed into a <a href="http://www.slideshare.net/cmcallister/paper-foldingwithgeometrysoftware">slideshow on SlideShare.net</a>.<br/></font></p>
<p style="margin-bottom: 0.5cm;"></p>Circles Inscribed In Trianglestag:mathematics24x7.ning.com,2010-06-19:2957074:BlogPost:110162010-06-19T16:00:00.000ZColin McAllisterhttp://mathematics24x7.ning.com/profile/ColinMcAllister
<p class="western" style="margin-bottom: 0cm;"><img alt="" src="http://api.ning.com/files/VK23SdYHMcpA-UuB9U7jYCfTUg*2s9ZcT3SwCrXSzhOHZvSkwpHi2ux64VPvxD9dA0MoEP85cXNMCqpMjS47vvPoJuUuRb6x/CirclesInEquilateral.png"></img></p>
<p class="western" style="margin-bottom: 0cm;">I present some experiments with interactive geometry software on Slideshare.net at: <a href="http://www.slideshare.net/cmcallister/circles-in-triangles-using-geometric-construction">Circles in Triangles using Geometric Construction</a>. This follows on from my previous presentation:…</p>
<p class="western" style="margin-bottom: 0cm;"><img src="http://api.ning.com/files/VK23SdYHMcpA-UuB9U7jYCfTUg*2s9ZcT3SwCrXSzhOHZvSkwpHi2ux64VPvxD9dA0MoEP85cXNMCqpMjS47vvPoJuUuRb6x/CirclesInEquilateral.png" alt=""/></p>
<p class="western" style="margin-bottom: 0cm;">I present some experiments with interactive geometry software on Slideshare.net at: <a href="http://www.slideshare.net/cmcallister/circles-in-triangles-using-geometric-construction">Circles in Triangles using Geometric Construction</a>. This follows on from my previous presentation: <a href="http://www.slideshare.net/cmcallister/inscribe-semicircle-in-square-by-geometric-construction">Inscribe Semicircle In Square by Geometric Construction</a>. Both slide shows use <a href="http://en.wikipedia.org/wiki/Geometric_construction">Geometric Construction</a> to explore basic geometric shapes. I used the free <a href="http://www.gnomefiles.org/app.php/Dr._Geo">Dr Geo</a> and <a href="http://www.geogebra.org/cms/en">Geogebra</a> software to create constructions that explore <a href="http://en.wikipedia.org/wiki/Euclidean_Geometry">Euclidean geometry</a> in a plane. There are problems for you to investigate: (i) Inscribe four circles in a circle using geometric construction. (ii) Discover additional circles in the equilateral triangle shown in the diagram. This is a fresh look at some ancient mathematics, using readily available PC software.<br/>
</p>Inscribe Semicircle In Square by Geometric Constructiontag:mathematics24x7.ning.com,2010-04-11:2957074:BlogPost:106382010-04-11T22:43:32.000ZColin McAllisterhttp://mathematics24x7.ning.com/profile/ColinMcAllister
<p style="text-align: left;"><img alt="" src="http://api.ning.com/files/71DML9tRXH8aFJYKjaxNyrJ5PsxHCFMuPCzEpiHk2OGV6YA0egRXfJmC-vwC9ZZuGIzBGF0QPBGAUpCGkBslAg-W7ZGnjCxE/Semicircle_in_square.png?width=721"></img></p>
How would you inscribe a semicircle into a square using geometric construction? I prepared this slide show to demonstrate the steps of<br />
construction. It can be viewed or downloaded at Slideshare.net:<strong style="margin: 12px 0pt 4px; display: block;"><a href="http://www.slideshare.net/cmcallister/inscribe-semicircle-in-square-by-geometric-construction" title="Inscribe Semicircle In Square by Geometric Construction">Inscribe Semicircle In Square by…</a></strong>
<p style="text-align: left;"><img src="http://api.ning.com/files/71DML9tRXH8aFJYKjaxNyrJ5PsxHCFMuPCzEpiHk2OGV6YA0egRXfJmC-vwC9ZZuGIzBGF0QPBGAUpCGkBslAg-W7ZGnjCxE/Semicircle_in_square.png?width=721" alt=""/></p>
How would you inscribe a semicircle into a square using geometric construction? I prepared this slide show to demonstrate the steps of<br />
construction. It can be viewed or downloaded at Slideshare.net:<strong style="margin: 12px 0pt 4px; display: block;"><a href="http://www.slideshare.net/cmcallister/inscribe-semicircle-in-square-by-geometric-construction" title="Inscribe Semicircle In Square by Geometric Construction">Inscribe Semicircle In Square by Geometric Construction</a></strong>The slide show and my geometry examples are Public Domain. There are some exercises on slide 8, with suggested solutions.<br/>Why
would you use this technique? It is not trivial to solve this problem<br />
using algebra, as it involves factorisation of irrational numbers. <a href="http://en.wikipedia.org/wiki/Compass_and_straightedge_constructions">Geometric Construction</a> is an ancient<br />
mathematical technique that can be done without knowing algebra. The basic tools are a<br />
pair of compasses and a straight-edge or ruler. On a personal computer, you can use free geometry software such as <a href="http://www.geogebra.org/cms/">Geogebra</a>, as I did for these examples.Pre-Calculus Projectstag:mathematics24x7.ning.com,2010-04-03:2957074:BlogPost:105662010-04-03T20:23:57.000ZMyra Deisterhttp://mathematics24x7.ning.com/profile/MyraDeister
I met with the other Pre-Calculus teachers yesterday for a planning meeting. A decision was made to assign a Pre-Calculus project to the students as an end of the year project. We also felt that the students really don't know the unit circle and would like to incorporate the unit circle in the project. I could use some help with ideas for this project. Can anyone suggest some?
I met with the other Pre-Calculus teachers yesterday for a planning meeting. A decision was made to assign a Pre-Calculus project to the students as an end of the year project. We also felt that the students really don't know the unit circle and would like to incorporate the unit circle in the project. I could use some help with ideas for this project. Can anyone suggest some?Assessing understanding of function in equation formtag:mathematics24x7.ning.com,2010-02-06:2957074:BlogPost:101982010-02-06T17:30:00.000ZErlina Rondahttp://mathematics24x7.ning.com/profile/ErlinaRonda
<span class="Apple-style-span" style="color: rgb(0, 0, 0); font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; font-size: 13px; line-height: 19px;"><span style="font-family: Arial; font-size: 13px;">I believe that if mathematics teachers are aware of the differing level of abstraction in students' thinking and reasoning when they work with function in equation form then the teachers would be better equipped to design appropriate instruction to lead students towards a…</span></span>
<span class="Apple-style-span" style="color: rgb(0, 0, 0); font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; font-size: 13px; line-height: 19px;"><span style="font-family: Arial; font-size: 13px;">I believe that if mathematics teachers are aware of the differing level of abstraction in students' thinking and reasoning when they work with function in equation form then the teachers would be better equipped to design appropriate instruction to lead students towards a deeper understanding of this concept.Failure to do so would deprive students the opportunity to understand other advanced algebra and calculus topics.I would like to share a framework for assessing students' developing understanding of function in equation form. This framework is research-based. You can download the full paper <a href="http://www.merga.net.au/documents/MERJ_21_1_Ronda.pdf">here</a>. For blog version click <a href="http://wp.me/pIOYK-a">here</a>.</span></span><div><font class="Apple-style-span" color="#000000" face="Arial, 'Times New Roman', 'Bitstream Charter', Times, serif"><span class="Apple-style-span" style="line-height: 19px;"><br/></span></font></div>
<div><span class="Apple-style-span" style="color: rgb(0, 0, 0); font-family: Georgia, 'Times New Roman', 'Bitstream Charter', Times, serif; font-size: 13px; line-height: 19px;"><font class="Apple-style-span" face="Arial, 'Times New Roman', 'Bitstream Charter', Times, serif"><br/></font></span></div>How much repetition is necessary?tag:mathematics24x7.ning.com,2010-01-28:2957074:BlogPost:100542010-01-28T03:41:52.000ZPaula Larsenhttp://mathematics24x7.ning.com/profile/PaulaLarsen
I have been talking about homework and practice. How much practice is necessary for a student to really understand how to do something? I have seen research that says 20-30 repetitions will generally store something in permanent memory. Many have posted on the forum/discussion site that they assign 5-10 problems. Is this enough? Is it only once or is it 5-10 related problems for more than one day? I have students that require several days of practice before they get some topics - and even then…
I have been talking about homework and practice. How much practice is necessary for a student to really understand how to do something? I have seen research that says 20-30 repetitions will generally store something in permanent memory. Many have posted on the forum/discussion site that they assign 5-10 problems. Is this enough? Is it only once or is it 5-10 related problems for more than one day? I have students that require several days of practice before they get some topics - and even then it is a struggle. Thoughts??Graphic organizerstag:mathematics24x7.ning.com,2010-01-28:2957074:BlogPost:100492010-01-28T03:02:50.000ZCharlene Pricehttp://mathematics24x7.ning.com/profile/CharlenePrice
Have any of you used graphic organizers. I use a foldable with my students while teaching the chapter on quadrilaterals in geometry. It seems to help them. I am interested in learning a variety of ideas that any of you have found helpful in your math classrooms.
Have any of you used graphic organizers. I use a foldable with my students while teaching the chapter on quadrilaterals in geometry. It seems to help them. I am interested in learning a variety of ideas that any of you have found helpful in your math classrooms.New ideas for extra credit wantedtag:mathematics24x7.ning.com,2010-01-24:2957074:BlogPost:99362010-01-24T03:01:43.000ZCharlene Pricehttp://mathematics24x7.ning.com/profile/CharlenePrice
I am looking for new ideas for extra credit for my students. I don't believe that students should be able to pass only because of extra credit. I have assigned review pages the day before the test, hoping that it would help the students two ways, first with extra credit points and then by improving the test scores. Usually, the A students are the ones who do it. I have considered having students look up videos on You Tube, but am not sure how that would be graded. Do any of you have ideas for…
I am looking for new ideas for extra credit for my students. I don't believe that students should be able to pass only because of extra credit. I have assigned review pages the day before the test, hoping that it would help the students two ways, first with extra credit points and then by improving the test scores. Usually, the A students are the ones who do it. I have considered having students look up videos on You Tube, but am not sure how that would be graded. Do any of you have ideas for extra credit that the students actually enjoy doing? I am wanting something that does use the topics and not just fun things.Geonext Tutorial 1 - Constructing an Equilateral Trianlgetag:mathematics24x7.ning.com,2010-01-22:2957074:BlogPost:99162010-01-22T08:40:50.000ZGuillermo Bautistahttp://mathematics24x7.ning.com/profile/GuillermoBautista
Click <a href="http://math4allages.wordpress.com/2010/01/22/geonext-tutorial-1-constructing-an-equilateral-trianlge/" target="_blank">here</a> to view blog.
Click <a href="http://math4allages.wordpress.com/2010/01/22/geonext-tutorial-1-constructing-an-equilateral-trianlge/" target="_blank">here</a> to view blog.Why do you twitter?tag:mathematics24x7.ning.com,2010-01-22:2957074:BlogPost:99132010-01-22T08:00:00.000ZRashmi Kathuriahttp://mathematics24x7.ning.com/profile/RashmiKathuria
Created a wall on Wallwisher. Why do you twitter? Add your reason for it.<br />
…<a href="http://wallwisher.com/wall/BYnMaYvBTZ" id="aptureLink_8CnM3Jacmh" name="aptureLink_8CnM3Jacmh" style="TEXT-ALIGN: center; PADDING-BOTTOM: 0px; MARGIN: 0px auto; PADDING-LEFT: 6px; PADDING-RIGHT: 6px; DISPLAY: block; PADDING-TOP: 0px; cssFloat:"><img height="270" src="http://placeholder.apture.com/ph/400x270_WebClip/" style="BORDER-BOTTOM: 0px; BORDER-LEFT: 0px; BORDER-TOP: 0px; BORDER-RIGHT: 0px" title="Why do you twitter? by rashkath" width="400"></img></a>
Created a wall on Wallwisher. Why do you twitter? Add your reason for it.<br />
<a style="TEXT-ALIGN: center; PADDING-BOTTOM: 0px; MARGIN: 0px auto; PADDING-LEFT: 6px; PADDING-RIGHT: 6px; DISPLAY: block; PADDING-TOP: 0px; cssFloat:" id="aptureLink_8CnM3Jacmh" href="http://wallwisher.com/wall/BYnMaYvBTZ" name="aptureLink_8CnM3Jacmh"><img style="BORDER-BOTTOM: 0px; BORDER-LEFT: 0px; BORDER-TOP: 0px; BORDER-RIGHT: 0px" title="Why do you twitter? by rashkath" src="http://placeholder.apture.com/ph/400x270_WebClip/" width="400" height="270"/></a>HOW MANY LOCKS ARE REQUIRED AND HOW MANY KEYS EACH GENERAL HAVE TO OPEN THE SAFE?tag:mathematics24x7.ning.com,2010-01-16:2957074:BlogPost:98632010-01-16T05:03:26.000ZMURTADAK SONALI MHATUBHAUhttp://mathematics24x7.ning.com/profile/MURTADAKSONALIMHATUBHAU
Hello,<br />
Friends.I am a newly joined member of this site. And feeling interesting to read and learn different<br />
things in mathematics.I am a lecturer in mathematics and taking the course of Combinatorics.I came a<br />
across the following problem problem '' Six Generals propose locking a safe containing top secret with a<br />
number of different locks.Each General will be given keys to certain of these locks.How many locks are<br />
required and how many keys must each General have so that ,unless atleast four…
Hello,<br />
Friends.I am a newly joined member of this site. And feeling interesting to read and learn different<br />
things in mathematics.I am a lecturer in mathematics and taking the course of Combinatorics.I came a<br />
across the following problem problem '' Six Generals propose locking a safe containing top secret with a<br />
number of different locks.Each General will be given keys to certain of these locks.How many locks are<br />
required and how many keys must each General have so that ,unless atleast four generals are present<br />
the safe can not be opened?''Helical Number Linestag:mathematics24x7.ning.com,2009-12-31:2957074:BlogPost:97552009-12-31T10:40:16.000ZJohn Taylor Harrisonhttp://mathematics24x7.ning.com/profile/JohnTaylorHarrison
I am new to this web site and have a subject I would like to discuss.<br />
I am a retired engineer, an MA of Trinity College, Cambridge, having graduated in 1948, and have become interested in the way children are taught numbers rather late in life.<br />
This came about as a result of trying to a help an eight year old in the village who had lost his way mathematically, and had very little understanding of the number system.<br />
I have always held the view that the understanding of an abstract concept can be…
I am new to this web site and have a subject I would like to discuss.<br />
I am a retired engineer, an MA of Trinity College, Cambridge, having graduated in 1948, and have become interested in the way children are taught numbers rather late in life.<br />
This came about as a result of trying to a help an eight year old in the village who had lost his way mathematically, and had very little understanding of the number system.<br />
I have always held the view that the understanding of an abstract concept can be greatly assisted by the use of a tangible model.<br />
As a result I have produced the most suitable model I could think of, and it helped him a lot.<br />
The model is in essence a helical number line on a tube. The helix starts with zero at the bottom and progresses to the right and upwards around a cylinder, such that there are ten numbers per turn. It is therefore mathemtically correct, being continuous.<br />
As a result the numbers form into vertical columns, all numbers in a column having the same number ending. The largest number is 139.<br />
This was an instant success, and the lad progressed well from that point.<br />
I then supplied some to local schools. The enthusiasm with which the children egaged with it was remarkable.<br />
To cut a long story short, I have personally made nearly 50,000 of these, sold to both schools and individuals. They are now listed by the Every Child Counts program as a "desirable resource"<br />
Given that the feedback I have received from children is universally postive, especially where less able, even dyslexic, children are concerned I am mystified why this resource has not been more widely accepted. There are about 23000 primary schools, and if each of them had just one classroom set of 30, this amounts to nearly 700,00.<br />
<br />
The take up by schools varies from just a single one, to 600 (20 sets)<br />
I have my own thoughts on this, but would like to hear from others. I am prepared to send samples to be anyone genuinely interested. Further details are on my web site <a href="http://www.numdrum.com">www.numdrum.com</a><br />
<br />
I hope I have submitted this note in the right place<br />
<br />
John HarrisonFormative assessment in Mathematicstag:mathematics24x7.ning.com,2009-12-17:2957074:BlogPost:96082009-12-17T15:30:00.000ZRashmi Kathuriahttp://mathematics24x7.ning.com/profile/RashmiKathuria
This is what we have planned for formative assessment in Mathematics.<br />
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<br></br> <font size="1"><a href="http://www.docstoc.com/docs/19643533/Macro%20Plan-%20Formative%20assessment%20in%20Mathematics">Macro Plan- Formative assessment in Mathematics</a> -</font>
Following guidelines are given to teachers.…
This is what we have planned for formative assessment in Mathematics.<br />
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<br/> <font size="1"><a href="http://www.docstoc.com/docs/19643533/Macro%20Plan-%20Formative%20assessment%20in%20Mathematics">Macro Plan- Formative assessment in Mathematics</a> -</font>
Following guidelines are given to teachers.<br />
<br />
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<br/> <font size="1"><a href="http://www.docstoc.com/docs/19643582/Guidelines%20for%20teachers-Planning%20Formative%20assessment%20in%20Math">Guidelines for teachers-Planning Formative assessment in Math</a> -</font>Are High School Mathematics Grades Inflated?tag:mathematics24x7.ning.com,2009-12-12:2957074:BlogPost:95222009-12-12T23:00:00.000ZTeaching in Harmonyhttp://mathematics24x7.ning.com/profile/HarmonyTeacher
<a href="http://http://www.act.org/research/policymakers/pdf/issues.pdf" target="_blank"></a><br />
<br />
Have you succumbed to pressure from students, parents, and administrators to inflate the grades of your mathematics students? How have you been able to effectively avoid such pressures in an attempt to give "honest" grades?
<a href="http://http://www.act.org/research/policymakers/pdf/issues.pdf" target="_blank"></a><br />
<br />
Have you succumbed to pressure from students, parents, and administrators to inflate the grades of your mathematics students? How have you been able to effectively avoid such pressures in an attempt to give "honest" grades?Essay Writing Structure!tag:mathematics24x7.ning.com,2009-11-06:2957074:BlogPost:90432009-11-06T04:40:39.000ZJanet Wilkinshttp://mathematics24x7.ning.com/profile/JanetWilkins
An essay can have a lot of intentions, but the basic structure of all type of essays will be same. You may be writing an argumentative essay to argue for a particular point of view or to may be doing a persuasive essay to explain the steps necessary to complete a task. Either way, your essay will have the same basic format and structure.<br />
An essay consists of three major parts,<br />
<br />
1.Introduction<br />
2.Supporting Paragraphs<br />
3.Summary Paragraph<br />
<br />
In this article we will provide…
An essay can have a lot of intentions, but the basic structure of all type of essays will be same. You may be writing an argumentative essay to argue for a particular point of view or to may be doing a persuasive essay to explain the steps necessary to complete a task. Either way, your essay will have the same basic format and structure.<br />
An essay consists of three major parts,<br />
<br />
1.Introduction<br />
2.Supporting Paragraphs<br />
3.Summary Paragraph<br />
<br />
In this article we will provide <a href="http://educationalwriting.net/essays.htm">essay writing help</a> that will teach you about basic structure of an essay. So, here it is…<br />
<br />
Introduction<br />
The introduction section of an essay consists of the main idea of the essay. It shows readers the theory and idea behind all this writing. It may explain why this topic is eligible to write over it. This paragraph also means to capture reader attention. If you can’t convince your reader in this paragraph that your work is worth reading, you will lose your reader in instance.<br />
<br />
Start this paragraph of your <a href="http://educationalwriting.net/essays.htm">essay papers</a> by writing your thesis statement. The main idea of your whole essay will be your thesis statement. You must limit your entire essay writing to the topic you have introduced in your thesis statement. Giving some background info regarding the topic will develop your reader’s interest. You can use interesting facts, quotations, or definitions of important terms you will use later in the essay.<br />
<br />
Supporting Paragraphs<br />
Supporting paragraphs is the whole body of your essay.You have to present the entire concept in there. It may consist of 4 to 5 paragraphs and it needs all your concentration as it’s the theory behind your approach to the selected topic.<br />
<br />
List the points that develop the main idea of your <a href="http://educationalwriting.net/essays.htm">essay writing</a>. Place each supporting point in its own paragraph. Develop each supporting point with facts, details, and examples. To connect your supporting paragraphs, you should use special transition words. Transition words link your paragraphs together and make your essay easier to read. Use them at the beginning and end of your paragraphs.<br />
<br />
Summary Paragraphs<br />
These are the last paragraphs of your essay writing project. It consists of the conclusion for the whole matter and your personnel opinion about it. This section may also contain call for action if needed. You can let your readers decide which concept is right and which one is wrong. You may put some action plan regarding the essay topic.<br />
<br />
Use this paragraph to let your readers have something to think over. Don’t try to force your opinion but make them think over it by giving them some stats or proves.Math Contest for Elementary Studentstag:mathematics24x7.ning.com,2009-09-08:2957074:BlogPost:82952009-09-08T06:19:03.000ZLi K.http://mathematics24x7.ning.com/profile/LiK
Noetic Learning’s math contest for elementary students will be held on October 15. The contest is open to all accredited schools. A team leader from the school will administer the contest of 20 problem solving questions. The test results will be evaluated nationally and the top 10 students in each grade level will be recognized. Registration is free and the deadline is September 30. All interested team leaders should register at…
Noetic Learning’s math contest for elementary students will be held on October 15. The contest is open to all accredited schools. A team leader from the school will administer the contest of 20 problem solving questions. The test results will be evaluated nationally and the top 10 students in each grade level will be recognized. Registration is free and the deadline is September 30. All interested team leaders should register at <a href="http://www.noetic-learning.com/mathcontest" target="_blank">http://www.noetic-learning.com/mathcontest</a>.High Tech Cheating - Or Is It?tag:mathematics24x7.ning.com,2009-09-03:2957074:BlogPost:79012009-09-03T14:30:00.000ZCarolynhttp://mathematics24x7.ning.com/profile/Carolyn
Hi Everyone,<br />
<br />
I was just expressing some of my thoughts about "High Tech Cheating" over on my blog page.<br />
http://eclecticgallimaufry.blogspot.com/2009/09/high-tech-cheating-or-is-it.html<br />
If you are interested, take a look.<br />
<br />
Thanks<br />
Carolyn
Hi Everyone,<br />
<br />
I was just expressing some of my thoughts about "High Tech Cheating" over on my blog page.<br />
http://eclecticgallimaufry.blogspot.com/2009/09/high-tech-cheating-or-is-it.html<br />
If you are interested, take a look.<br />
<br />
Thanks<br />
CarolynConnecting with teachers & engaging our studentstag:mathematics24x7.ning.com,2009-08-18:2957074:BlogPost:74212009-08-18T03:45:17.000ZMark Liddellhttp://mathematics24x7.ning.com/profile/MarkLiddell
Earlier today I presented at the ELH09 conference in Victoria, Australia.<br />
<p style="text-align: left;"><img alt="" height="185" src="http://api.ning.com/files/L2XsXjzLGXjwbbV6MXmGvdgQCuvGPSOlnCUTLt0lhhD0FLRELqFRC91VB9TriaU86Q53ExHG5gx8suY7s4rAhV87ibhLG8RK/elh09.jpg" width="800"></img></p>
I am a Secondary Mathematics teacher at <a href="http://www.nbcs.nsw.edu.au/" target="_blank">Northern Beaches Christian School</a> in Sydney, Australia. I was presenting about ways to connect with teachers through technology and ways to engage our students through technology.<br />
Here is the <a href="http://www.ustream.tv/recorded/2002654" target="_blank">link to the recording…</a>
Earlier today I presented at the ELH09 conference in Victoria, Australia.<br />
<p style="text-align: left;"><img src="http://api.ning.com/files/L2XsXjzLGXjwbbV6MXmGvdgQCuvGPSOlnCUTLt0lhhD0FLRELqFRC91VB9TriaU86Q53ExHG5gx8suY7s4rAhV87ibhLG8RK/elh09.jpg" alt="" width="800" height="185"/></p>
I am a Secondary Mathematics teacher at <a href="http://www.nbcs.nsw.edu.au/" target="_blank">Northern Beaches Christian School</a> in Sydney, Australia. I was presenting about ways to connect with teachers through technology and ways to engage our students through technology.<br />
Here is the <a href="http://www.ustream.tv/recorded/2002654" target="_blank">link to the recording</a> of my presentation and here is the <a href="http://markliddell.wordpress.com/elh09/" target="_blank">blog posting</a> that you should visit while watching the presentation. If you have any questions then contact me through twitter at <a href="http://twitter.com/markliddell" target="_blank">markliddell</a> or leave a comment on <a href="http://markliddell.wordpress.com" target="_blank">markliddell.wordpress.com</a>