tag:blogger.com,1999:blog-183220562017-08-19T19:05:59.370-04:00Homeschool Math BlogMath teaching ideas, links, worksheets, reviews, articles, news, Math Mammoth stuff, and more - anything that helps YOU to teach math. ~ Maria MillerMath Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.comBlogger1035125tag:blogger.com,1999:blog-18322056.post-30955991483037976932017-07-31T08:16:00.002-04:002017-07-31T08:16:33.917-04:00How to talk math with your kids - videoKent Haines is both a math teacher and a dad. In this video, he shares some excellent tips on how to help your children's "math-readiness", expressing it with a modern term. Or we might just say, how to help your children understand their world with math. It's aimed at parents of little children but the ideas ring true for other ages too:<br /><br />The three important guidelines he shares are:<br /><br />1. Use math language.<br />2. Play.<br />3. Focus on questions, not on answers.<br /><br />I enjoyed the video!<br /><br /><br /><iframe allowfullscreen="" frameborder="0" height="281" src="https://www.youtube-nocookie.com/embed/OitL1ZI0azo?rel=0" width="500"></iframe>Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-72682185607684962802017-07-21T15:34:00.003-04:002017-07-21T15:34:56.877-04:00Word problems involving "four times as many as"Someone asked for help to explain the concepts of multiplicative word problems involving "as many as", like the ones below:<br /><br /><blockquote class="tr_bq">1) Haley had four times as many dollars as her sister. Together they had $60. How much money does Haley have?<br /><br /><br />2) Rachel had 5 times as many dollars as her sister, Nora. They had a total of $90. How much money did each of them have?</blockquote><br /><br />The <b>BAR MODEL</b> is an excellent tool for helping children understand what is going on in these types of word problems.<br /><br />In (1), draw a bar for Haley and another for her sister. Divide Haley's bar into four parts, and make the other bar just one such part long.<br /><br /><span style="color: #b45f06;">Haley |---|---|---|---|</span><br /><br /><span style="color: #351c75;">Sister |---|</span><br /><br /><br />Now you will see that the TOTAL needs divided into FIVE equal parts — and from then on it is easy-peasy.<br /><br /><hr color="black" size="1" /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://www.mathplayground.com/tb_multiplication/index.html" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" data-original-height="695" data-original-width="927" height="239" src="https://3.bp.blogspot.com/-eJ5CYilRzKI/WXJXOnY6f0I/AAAAAAAABi4/Rged6Sb3SEUSElZc9AQxOryjTMvJlTHgQCLcBGAs/s320/thinking%2Bblocks.png" width="320" /></a></div><br />Additionally, you can use <a href="http://www.mathplayground.com/tb_multiplication/index.html">Thinking Blocks website</a> to build such bar models INTERACTIVELY.<br /><br />For problems like (1) and (2) above, choose the fourth model from the left (rightmost) in the top row that is bluish in color. Then click "Start modeling" button. Video tutorials exist also. This is not my site, but it's a very nice interactive tool for this concept!<br /><br /><br /><br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-57932986973603270072017-07-13T09:26:00.002-04:002017-07-13T09:26:27.174-04:00Flash sale for Math MammothHomeschool Buyers Co-op is running a <a href="https://www.homeschoolbuyersco-op.org/math-mammoth/">FLASH SALE</a> for the large Math Mammoth bundles — get them at 40% off! This sale ends on July 17, 2017.Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-68607335709407144512017-07-03T23:35:00.001-04:002017-07-03T23:35:59.658-04:00Graph paper, and those who don't love math<div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-ELdGhHaoFAw/WVsMXnjXFKI/AAAAAAAABio/hI-KQdaXu0AnsLkWBIwG--hVxfpwmbnXQCLcBGAs/s1600/IMAG1728.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" data-original-height="574" data-original-width="1024" height="223" src="https://3.bp.blogspot.com/-ELdGhHaoFAw/WVsMXnjXFKI/AAAAAAAABio/hI-KQdaXu0AnsLkWBIwG--hVxfpwmbnXQCLcBGAs/s400/IMAG1728.jpg" width="400" /></a></div>If you have a few minutes, check out<br /><br /><a href="http://tjzager.com/2017/06/17/representations-and-manipulatives-and-tools-and-things/">http://tjzager.com/2017/06/17/representations-and-manipulatives-and-tools-and-things/</a><br /><br />It's an interesting and encouraging read. Thoughts about technology (no need for it at every turn), and how to teach those who don't love math, and how just a piece of graph paper can lend itself to a powerful learning tool...!<br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-71919516620496647502017-06-30T09:33:00.003-04:002017-06-30T09:33:48.753-04:00What age do YOU think is old?I just saw this in the <a href="http://www.intmath.com/blog/letters/intmath-newsletter-quadratic-graphs-cymath-food-learning-11234">IntMath Newsletter</a> I subscribe to...<br /><br />QUOTE<br /><blockquote class="tr_bq">Here's an <b>age equation</b> that's pretty accurate:<br /><br />OldAge = 10 * √NowAge<br /><br />When you're 16, old people are 40. When you're 50, old people are 70, and when you're 100, you know you're old!</blockquote><br />UNQUOTE<br /><br />Hat Tip to Murray from<br /><br /><a href="http://www.intmath.com/blog/letters/intmath-newsletter-quadratic-graphs-cymath-food-learning-11234">http://www.intmath.com/blog/letters/intmath-newsletter-quadratic-graphs-cymath-food-learning-11234</a><br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-2232555614647498652017-05-31T14:09:00.001-04:002017-05-31T14:09:27.723-04:00A five-year old GOT the connection between addition and subtractionI just got this in from a customer... how PRECIOUS!<br /><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://3.bp.blogspot.com/-fOoEIHZYo9A/WS8GwBGeuDI/AAAAAAAABiY/Mllsk80fYZcnAxm82HWOBrgCQIxi4pS4wCLcB/s1600/Lydia_Dear_Math_people_May_2017.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1137" data-original-width="1200" height="378" src="https://3.bp.blogspot.com/-fOoEIHZYo9A/WS8GwBGeuDI/AAAAAAAABiY/Mllsk80fYZcnAxm82HWOBrgCQIxi4pS4wCLcB/s400/Lydia_Dear_Math_people_May_2017.JPG" width="400" /></a></div><br />QUOTE<br />Lydia, who is not yet five years old, has just started the subtraction section of Math Mammoth 1A. She made an amazing discovery and wanted to tell you about it. A photo of her letter is attached, which a translation here.<br /><br />"Dear Math People,<br />I found out<br />When you do a subtraction<br />Backwards<br />It's adding<br />Did you know about that?<br />Lydia"<br /><br />UNQUOTE<br /><br />Lydia's mom also said that she feels Lydia is going to be so amazed when the workbook points this out a few pages from now!<br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-8229697289239804262017-05-24T09:41:00.000-04:002017-05-24T09:41:05.548-04:00Multiplication algorithm and lattice multiplicationThis is a <a href="https://mathblog.com/multiplication/">GOOD comparison between the standard multiplication algorithm and lattice multiplication</a>!<br /><br />The author even brings in the area model for multiplying multi-digit numbers (which I also show in Math Mammoth). The area model is of course only used to show students what is going on, based on place value -- not to replace any algorithm.<br /><br />QUOTE<br /><blockquote class="tr_bq"><i>In our desire for "efficiency," we lose transparency in the standard "long multiplication" algorithm.</i></blockquote>Read it at <a href="https://mathblog.com/multiplication/">https://mathblog.com/multiplication/</a><br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-89683769216559131912017-05-22T15:55:00.001-04:002017-05-22T15:55:18.157-04:00Math Mammoth printed books saleMath Mammoth printed books at now at <a href="http://www.rainbowresource.com/prodlist.php?subject=Mathematics/10&category=Math+Mammoth/9820">20% off at Rainbow Resource Center!</a><br /><br />Please note that they sell TWO versions of the books:<br /><br />(1) Books in full color<br />(2) Books with black-and-white inside pages<br /><br />BOTH have full-color covers so you cannot go by that. The full color books cost slightly more. You can mix and match if you'd like, such as by purchasing the student books in full color and the answer key and test books with black-and-white inside pages.<br /><br />This promotion runs till June 2, 2017.Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-3427896691279124152017-05-14T10:30:00.004-04:002017-05-14T10:30:46.108-04:00Math Mammoth sale - May 2017Use coupon code <b>MAYSALE2017</b> to get 25% off of all Math Mammoth & Make It Real Learning downloads and CDs sold at <a href="http://www.mathmammoth.com/">www.mathmammoth.com</a> site. 😃<br /><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://2.bp.blogspot.com/-ReBAUoWwd78/WRhpsLxW6uI/AAAAAAAABiE/4N1kNY-Q2zE8njphv18tLXcNLos_mSlvwCLcB/s1600/allbooks-display1-tp.gif" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="126" src="https://2.bp.blogspot.com/-ReBAUoWwd78/WRhpsLxW6uI/AAAAAAAABiE/4N1kNY-Q2zE8njphv18tLXcNLos_mSlvwCLcB/s400/allbooks-display1-tp.gif" width="400" /></a></div><br />This promotion is valid through Monday, May 29, 2017.<br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-49460487158118441862017-05-12T12:23:00.002-04:002017-05-12T12:23:42.738-04:00Practice math facts online with your voiceNow there's a place where you -- or your child -- can practice math facts with your VOICE! Just say the answers out loud to the computer!<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://www.dadsworksheets.com/mathflash/multiplication" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="293" src="https://2.bp.blogspot.com/-UYTlZcVTiCE/WRXhUxD_rwI/AAAAAAAABh0/kYLqZ0o7tDcRDyPLM0eHsZ7qG1XtYZm8wCLcB/s320/screenshot-www.dadsworksheets.jpg" width="320" /></a></div><br /><br /><br />You do need to use Google Chrome for it to work with voice... otherwise, it does also have buttons you can push to give your answers.<br /><br /><a href="http://www.dadsworksheets.com/mathflash/addition">http://www.dadsworksheets.com/mathflash/addition</a><br /><br /><a href="http://www.dadsworksheets.com/mathflash/subtraction">http://www.dadsworksheets.com/mathflash/subtraction</a><br /><br /><a href="http://www.dadsworksheets.com/mathflash/multiplication">http://www.dadsworksheets.com/mathflash/multiplication</a><br /><br /><a href="http://www.dadsworksheets.com/mathflash/division">http://www.dadsworksheets.com/mathflash/division</a><br /><br />Youngsters might find this intriguing to try out!Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-53296003395308344252017-05-08T14:32:00.001-04:002017-05-08T14:32:42.882-04:00A Mathematical Fable about the Pythagorean TheoremHere's a video -- A Mathematical Fable -- that I showed to my girls recently. It ties in with the Pythagorean Theorem and is kind of interesting and funny at the same time! Enjoy!<br /><br /><br /><div align="center"><iframe allowfullscreen="" frameborder="0" height="315" src="https://www.youtube-nocookie.com/embed/ItiFO5y36kw?rel=0" width="560"></iframe></div><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-71917039742766636882017-05-07T21:27:00.003-04:002017-05-07T21:27:48.025-04:00Coloring of the multiplication tables chartHere's a different way to look at the multiplication tables chart: COLOR IT!<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://hackernoon.com/you-werent-bad-at-maths-you-just-weren-t-looking-at-it-the-right-way-7b11fb0a0982" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="232" src="https://3.bp.blogspot.com/-XrROaH3kPWs/WQ_JU5GdAKI/AAAAAAAABhk/vYpeIM3vSwUZa4D77UOs2T8deRgw_ehmwCLcB/s320/multchart.jpeg" width="320" /></a></div>See more:<br /><br /><a href="https://hackernoon.com/you-werent-bad-at-maths-you-just-weren-t-looking-at-it-the-right-way-7b11fb0a0982">You weren't bad at maths -- you just weren't looking at it the right way</a><br /><br /><br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-32705251194184197682017-04-16T09:59:00.001-04:002017-04-16T09:59:10.311-04:00Symbolism in the passover as it happened in ancient EgyptI invite you to travel back to the ancient Egypt and the first passover, and to learn of its rich symbolism, tying it in with Jesus' teaching of how we need to feed upon his flesh and his blood: <br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://www.inspire4.com/passover-allegories-and-symbols-1/" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="226" src="https://4.bp.blogspot.com/-WyaRn6VHR3k/WPN3-9UPSQI/AAAAAAAABhU/SK47o3DOAg4TQb83MTc3fEtcBf_nr2aRQCLcB/s400/Screenshot-inspire4.jpg" width="400" /></a></div><br /><br /><a href="http://www.inspire4.com/passover-allegories-and-symbols-1/">EXAMINING SYMBOLISM IN VARIOUS PARTS OF THE PASSOVER TYPE FROM EXODUS 12</a><br /><br /><br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-35753246017950837522017-03-21T12:04:00.002-04:002017-03-21T12:04:39.242-04:00Considering an online college?<div class="separator" style="clear: both; text-align: center;"><a href="http://www.bestcolleges.com/features/top-online-schools/" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="208" src="https://4.bp.blogspot.com/-Sr8c_PVyQ1U/WNFO8WgHG3I/AAAAAAAABg8/2kW1k8g5WsMozOgvnmflbx96OH9vDeI1ACLcB/s320/screenshot-www.bestcolleges.png" width="320" /></a></div>Here's a very comprehensive resource, listing the best online colleges there are -- a good starting point for researching this topic!<br /><br /><a href="http://www.bestcolleges.com/features/top-online-schools/">The best 50 online colleges for 2017</a> <br /><br /><br />It features pictures, ranking scores, cost comparisons, graduation rates, and more.<br /><br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-80907151206174306902017-03-21T10:36:00.001-04:002017-03-21T10:36:11.874-04:00Doodling in math class?<div class="separator" style="clear: both; text-align: center;"><a href="http://www.mathgiraffe.com/doodle-notes.html" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="242" src="https://2.bp.blogspot.com/-0fb0fNzInaI/WNE4BWFEoTI/AAAAAAAABgs/IwbRTtfFB3sLyz3lJEcyzeRlFx2ZahEcQCLcB/s320/doodle-note-page-header.png" width="320" /></a></div>This is mostly useful for classroom teachers, but I thought it's a really NEAT idea -- and could be adapted to other situations. The students "doodle" and color in the notes however they like, which makes them REMEMBER better!<br /><br /><a href="http://www.mathgiraffe.com/doodle-notes.html">Math Doodle Notes</a><br /><br />You'll find some freebies and some commercial products here, and of course the idea of doodle notes itself. You can make these yourself also!<br /><br /><br /><br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-10085491423082598442017-03-20T11:32:00.000-04:002017-03-20T11:32:50.418-04:00Penny Pinchers Sale!<div class="separator" style="clear: both; text-align: center;"><a href="https://4.bp.blogspot.com/-MJCN6pJnfJU/WM_1KH2JzVI/AAAAAAAABgc/dCnwXeDvNF8koQAic7VU3Arn7DcZyJd5wCLcB/s1600/PennyPinchers-Box.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://4.bp.blogspot.com/-MJCN6pJnfJU/WM_1KH2JzVI/AAAAAAAABgc/dCnwXeDvNF8koQAic7VU3Arn7DcZyJd5wCLcB/s320/PennyPinchers-Box.png" width="320" /></a></div><br />This sale happens at <a href="http://www.currclick.com/sale.php"><b>Currclick</b></a>, and every item in it is less than $3!<br /><br />You will find a bunch of Math Mammoth products also... <a href="http://www.currclick.com/browse.php?keywords=math+mammoth&filters=0_0_0_0_0_0_45353">check them out here</a>.<br /><br />The sale runs through March 31, 2017.<br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-87530289750529537852017-03-13T17:57:00.001-04:002017-03-13T17:57:18.869-04:00Video for your Pi dayIt's just proper to feature this video again... Pi day is tomorrow (3/14)! <br /><br />Calculating pi with REAL pies! <br /><br />It is a neat video, showing how to calculate the value of Pi using real pies (yum!). It might help your youngsters remember the definition of Pi better as they remember the visual pic of pies around the big circle and pies going across. :) And not to mention the taste buds!<br /><br /><div align="center"><iframe allowfullscreen="" class="video" frameborder="0" height="300" src="https://www.youtube-nocookie.com/embed/ZNiRzZ66YN0?rel=0" width="533"></iframe></div>Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-46973572367732397252017-03-08T19:04:00.001-04:002017-03-08T19:04:01.621-04:00Differences between US and UK in math terminologyI enjoyed this article... <a href="https://mathwithbaddrawings.com/2015/05/20/us-vs-uk-mathematical-terminology/">differences between US and British English</a> when it comes to MATH terminology! The author is taking it humorously though sometimes it's a struggle for people who have to switch over from one to the other. :)<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://mathwithbaddrawings.com/2015/05/20/us-vs-uk-mathematical-terminology/" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="126" src="https://3.bp.blogspot.com/-HB4o0EetaQo/WMCMr79SIGI/AAAAAAAABgM/1YlzJIdfQHEBggXgHMzcALpKGIvnbJJPwCLcB/s400/us_vs_uk.jpg" width="400" /></a></div>Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-30722674720212809032017-03-07T14:49:00.000-04:002017-03-07T14:49:28.633-04:00Math Mammoth reviews galore!A variety (DOZENS!) of freshly written <a href="http://schoolhousereviewcrew.com/affordable-quality-math-math-mammoth-reviews/">Math Mammoth reviews</a> for you!<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://schoolhousereviewcrew.com/affordable-quality-math-math-mammoth-reviews/" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="322" src="https://2.bp.blogspot.com/-8YYPurq-mk4/WL8AjayP6gI/AAAAAAAABf8/dwkNDB_yc8sMPgidTa8y2d_Zdty41w4XQCLcB/s400/screenshot-schoolhousereviewcrew.png" width="400" /></a></div>Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-5053825267342753182017-03-06T12:01:00.002-04:002017-03-06T12:01:26.952-04:00See how varied mathematics really is?This is a neat video showing the various areas of mathematics, including both theoretical and applied. It can be eye-opening to children and students, who may think that all math is, is just numbers and calculations. It goes SO much deeper than that! <br /><br />I just got a tiny glimpse of some of those domains of math in university (such as complex analysis, measure theory, and game theory) — and they are fascinating!<br /><br /><b>The Map of Mathematics </b><br /><br /><div align="center"><iframe allowfullscreen="" class="video" frameborder="0" height="360" src="https://www.youtube-nocookie.com/embed/OmJ-4B-mS-Y?rel=0" width="640"></iframe></div><br />The entire field of mathematics summarized in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.<br /><br />Here's also a <a href="https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/" target="_blank">still image for you to download.</a>Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-85127153326590119682017-01-14T13:48:00.002-04:002017-01-14T13:48:38.701-04:00Math Mammoth January saleJANUARY SALE at <a href="http://www.mathmammoth.com/" target="_blank">www.mathmammoth.com</a> !<br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-cmD7z3U9J5E/WHpka63T5XI/AAAAAAAABfc/QwYtea2iya4NqUJrH6cJ0Lny2D2pUgXEwCLcB/s1600/MathMammoth-Square-Logo800x800.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://1.bp.blogspot.com/-cmD7z3U9J5E/WHpka63T5XI/AAAAAAAABfc/QwYtea2iya4NqUJrH6cJ0Lny2D2pUgXEwCLcB/s320/MathMammoth-Square-Logo800x800.png" width="320" /></a></div><br /><br /> Get 25% off of all of Math Mammoth CD and downloadable products at <a href="http://mathmammoth.com/" target="_blank">MathMammoth.com.</a> Use coupon code <b>JAN25. </b><br /><br />The offer is valid till January 25, 2017.Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-51147679593253003632017-01-10T22:07:00.002-04:002017-01-10T22:07:15.174-04:00Tips for mental mathHow about some <a href="http://www.mathmammoth.com/lessons/practical_tips_mental_math.php">practical tips for mental math</a>?<br /><br /><br /><div class="separator" style="clear: both; text-align: center;"><a href="http://www.mathmammoth.com/lessons/practical_tips_mental_math.php" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="214" src="https://1.bp.blogspot.com/-vHSVh780Z0k/WHWTH3rll6I/AAAAAAAABfM/ZVVCqk33Q_ga4JIiwSoq9OBbGgydvL9cQCLcB/s320/mentalmathpages-s.jpg" width="320" /></a></div><br />Please share this article on your FB page or other social media (assuming you like it), because I feel it can benefit all kinds of people, not just moms and dads and teachers. :)Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-52328240800712928352017-01-05T15:41:00.002-04:002017-01-05T15:41:36.525-04:00Printed books sale!<br /><div class="separator" style="clear: both; text-align: center;"><a href="http://www.rainbowresource.com/prodlist.php?subject=Mathematics/10&category=Math+Mammoth/9820" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="230" src="https://2.bp.blogspot.com/-t0awXVtkbYc/WG6hQF3z4OI/AAAAAAAABe8/5TQkg9cGpfUcSamOJnskd5v-PtPGy3RiACLcB/s400/MM%2Bsale%2BRainbow.png" width="400" /></a></div><br /><br /><br />Get Math Mammoth printed books and CDs at 20% off -- at <a href="http://www.rainbowresource.com/prodlist.php?subject=Mathematics/10&category=Math+Mammoth/9820">Rainbow Resource Center</a>!<br /><br />The sale lasts till 1/12/2017.<br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-50005861351818347562017-01-01T21:53:00.001-04:002017-01-01T21:53:07.188-04:002017 Mathematics GameYeah! <a href="https://denisegaskins.com/2017/01/01/2017-mathematics-game/">2017 Mathematics Game</a> is here!<br /><br />If you don't know what it is, it's a number "game" or challenge where you build each of the numbers from 1 to 100 using the digits 2, 0, 1, and 7 -- and you HAVE to use all those digits!<br /><br />For example:<br /><br />10 = 2 + 0 + 1 + 7<br /><br />8 = 2 x 0 + 1 + 7<br /><br />7 = 2 x 0 + 1 x 7<br /><br />...and so on. I'm sure you get the gist!<br /><br />Read the complete rules for this game <a href="https://denisegaskins.com/2017/01/01/2017-mathematics-game/">here</a>.<br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0tag:blogger.com,1999:blog-18322056.post-14401429662932822792016-12-01T20:19:00.004-04:002016-12-01T20:19:26.758-04:00Meaning of factors in multiplication: four groups of 2, or 4 taken two times?Someone asked me about the interpretation or meaning of the two numbers in multiplication, such as 4 × 2. Do you view it as <b>four groups of 2</b>, <u>or</u> as <b>four, taken two times</b>?<br /><br />Here's their question:<br /><br /><blockquote class="tr_bq">"...I noticed that your explanation about how to interpret a math phrase, such as 4 × 2, is different from how I have understood it and taught it to my older daughter who was using RightStart Math at this level.<br /><br />Let me explain: I see that you are using the first factor to denote number of groups and the second factor tells how many are in each group (4 × 2 would be interpreted 4 groups of 2). On the other hand, I have taught and thought of it reversed, with the first factor telling how many are in each group and the second factor telling you how many groups (4 × 2 would be 4 taken 2 times). I know that the difference in explanations does not ultimately change the product, but I am wondering what you thoughts are. When I conceptually picture what I'm doing I see it as 4 taken 2 times and I feel a little dyslexic trying to see it the other way." </blockquote><br />Here's my response:<br /><br />I'll try to briefly explain the main reason for teaching multiplication that way.<br /><br />It is because then it becomes easier to tie the concept of multiplication in with OTHER CONCEPTS coming up in the next grades.<br /><br />Later, students will study <u>multiplication with fractions and decimals</u>, and ultimately with percentages. When we transition to fractions, we see calculations such as 1/2 × 7. I teach students to think of it as "half of seven", in essence <b>"translating" the multiplication sign into "of"</b>. It matches the notion of 5 × 7 meaning five groups of seven.<br /><br />Then when we get to decimals and, most importantly, percentages, we will have 0.3 × 50 which is the same as 30% × 50, or 30% of 50. Notice the word "<b>of</b>" once again. In other words, 30% of 50 is equal to 0.3 × 50. This last idea is of paramount importance for students in algebra, so that they can write algebraic equations for problems involving percentages... for example, to solve for the initial or final price when a discount percentage is known.<br /><br />One quick example of the above... A gadget was discounted by 45% and now its price is $67.38. What was the original price? We can write the equation 0.55<i>p</i> = 67.38 and solve it in a snap. The expression 0.55<i>p</i> means 55% OF the original price.<br /><br />So that is why, in 3rd grade, I teach children to view 5 × 7 as five groups OF seven instead of five, taken seven times. I'm trying to make it easier for them to understand<b> <span style="color: #990000;">(1) fraction multiplication,</span> <span style="color: #351c75;">(2) percentages,</span> and <span style="color: #38761d;">(3) algebra.</span></b><br /><br />Hope this helps!<br /><br />Math Mammothhttps://plus.google.com/105961364219775463476noreply@blogger.com0