tag:blogger.com,1999:blog-3748625510348961342.comments2021-03-01T02:03:18.432-08:00solidangl.esBill Shillitohttp://www.blogger.com/profile/17774101901445053590noreply@blogger.comBlogger42125tag:blogger.com,1999:blog-3748625510348961342.post-22844983297843925732021-03-01T02:03:18.432-08:002021-03-01T02:03:18.432-08:00Two important steps in finding a qualified hardwoo...Two important steps in finding a qualified hardwood floor refinishing business are 1) checking out a company's reputation and skill level by asking specific questions and 2) finding out how they contain the huge amount of dust created with the sanding process. Let's look at another important aspect you need to carefully consider. <a href="https://www.huntsvillehardwoodfloorrefinishing.com" rel="nofollow">flooring installer</a><br />most visitedhttps://www.blogger.com/profile/07705816151833724512noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-17942962176539281242021-02-18T08:39:11.201-08:002021-02-18T08:39:11.201-08:00Floor sanding is not really a DIY job. It is in fa...Floor sanding is not really a DIY job. It is in fact a job for the professionals. Anyway just in case you want to know how to sand a wooden floor I will give you a a little guide to sanding and restoring wooden flooring. <a href="https://townsvillefloorsanding.com/" rel="nofollow">Floor sanding</a><br />Jack Alexanderhttps://www.blogger.com/profile/05883216921001046120noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-42659981772123968222021-02-10T16:10:57.351-08:002021-02-10T16:10:57.351-08:00This is a really great wrap up! Thank you!This is a really great wrap up! Thank you!Anonymoushttps://www.blogger.com/profile/03628950841404344044noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-9231415340383973192020-10-09T23:57:50.874-07:002020-10-09T23:57:50.874-07:00This looks great. Also, I would recommend Triangle...This looks great. Also, I would recommend Triangle of Power https://math.stackexchange.com/a/165225/834579Anonymoushttps://www.blogger.com/profile/00711588868807718216noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-85290690737649547322020-09-14T15:44:07.885-07:002020-09-14T15:44:07.885-07:00I agree 100%! Teaching students to put their under...I agree 100%! Teaching students to put their understanding in words is much more valuable than teaching them something that will have zero use for them after they leave your class. <br />These "proofs", along with flowchart proofs, are math teacher crutches to avoid making us read and give feedback on written work. We feel like we're unqualified to teach that skill, so we avoid it. We're not doing anyone a service by maintaining the myth that mathematics is only explainable with symbols. We need them to use words.<br />Anonymoushttps://www.blogger.com/profile/12293578877127986276noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-12369050450453704572020-05-23T07:15:06.534-07:002020-05-23T07:15:06.534-07:00i am browsing this website dailly , and get nice f...i am browsing this website dailly <a href="http://www.univ-mosta.dz" rel="nofollow">,</a> and get nice facts from here all the time <a href="http://www.univ-mostaganem.edu.dz" rel="nofollow">.</a>midouhttps://www.blogger.com/profile/00313347688804640874noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-16003485843488349392019-12-28T00:47:16.707-08:002019-12-28T00:47:16.707-08:00This website and I conceive this internet site is ...This website and I conceive this internet site is really informative ! Keep on putting up!<br /><a href="https://trigidentities.info/" rel="nofollow">trig identities</a>adminhttps://www.blogger.com/profile/13323492266485625127noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-25887009276080497052019-09-15T21:45:08.159-07:002019-09-15T21:45:08.159-07:00Thanks!
Thanks!<br />Anonymoushttps://www.blogger.com/profile/15032475414939618795noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-12791773299282368972019-02-04T09:07:12.650-08:002019-02-04T09:07:12.650-08:00Do you have clips of the Jeopardy mistakes, or the...Do you have clips of the Jeopardy mistakes, or the air dates so I can try and find them? I would love to show the clips in my class when we learn the related material.Anonymoushttps://www.blogger.com/profile/04689909346880729547noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-22618964839282006662018-10-03T04:54:06.081-07:002018-10-03T04:54:06.081-07:00Thanks for info!Thanks for info!Anonymoushttps://www.blogger.com/profile/04613150274857338834noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-59675803824458947692018-09-24T23:37:59.498-07:002018-09-24T23:37:59.498-07:00Ah - you are dealing with value creation, and you ...Ah - you are dealing with value creation, and you have just encountered the critical issue of 'synergy.' You might care to address the issues of maths, economics and value creation some time (gaining a Nobel Prize for progressing us beyond Adam Smith and Karl Marx in the process).Anonymoushttps://www.blogger.com/profile/11013377373368699963noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-6075066974529262182018-09-21T18:54:18.410-07:002018-09-21T18:54:18.410-07:00I'm apparently very late to the party but I ab...I'm apparently very late to the party but I absolutely love this idea. I came up with some really nice LaTeX code for it:<br />\raisebox{\depth}{\scalebox{1}[-1]{$\sqrt[\raisebox{\depth}{\scalebox{1}[-1]{\tiny{2}}}]{\raisebox{\depth}{\scalebox{1}[-1]{16}}}$}}Iyan Siwikhttps://www.blogger.com/profile/06005006477287388259noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-22406083989848418652018-02-12T23:47:58.559-08:002018-02-12T23:47:58.559-08:00Welcome back! I hate these things too. And I don&#...Welcome back! I hate these things too. And I don't even have the option not to teach them. Quintopiahttps://www.blogger.com/profile/11935053984682797775noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-1012266931130571012017-12-21T13:23:08.447-08:002017-12-21T13:23:08.447-08:00I love your symbol, and will start using it next s...I love your symbol, and will start using it next semester. I made a bit of Latex code for "log base 2 of 8": \raisebox{.7mm}{\reflectbox{\rotatebox[origin=c]{180}{\Large{$\sqrt{~~}$}}}}$\hspace{-.6cm}{\mbox{\tiny 2}}\hspace{.2cm} 8$<br /><br />To see the compiled image: https://drive.google.com/file/d/1zYqnIFDfsrO-MMQCjI09m_rwmQhqIUfj/view?usp=sharingLynne Ipiñahttps://www.blogger.com/profile/02298838629222120903noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-29002947766656199212017-11-29T19:13:05.351-08:002017-11-29T19:13:05.351-08:00I'm not sure any computer scientist would cons...I'm not sure any computer scientist would consider it more natural than e, it's just useful for many purposes.Anonymoushttps://www.blogger.com/profile/03209130188845063324noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-26644066691633581212016-12-31T10:34:22.028-08:002016-12-31T10:34:22.028-08:00Excellent article! I'd like to see you extend ...Excellent article! I'd like to see you extend the examples to include division and multiplication as well. It may be difficult to deal with division as something that's simple to understand as shorthand for something. 6 / 2 is short hand for 6 * 1/2 but students certainly are not used to that view. And the notion of left to right is important to include as a 3rd thing to remember since subtraction and division are not commutative.<br /><br />Anonymoushttps://www.blogger.com/profile/12615009252327101120noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-91934163931358797822016-12-26T03:02:04.392-08:002016-12-26T03:02:04.392-08:00I hate to say this but what is the ACTUAL function...I hate to say this but what is the ACTUAL function to solve the problem you propose because the problem in today's world is no one has a FUNCTION to solve problems efficiently.Amuro Kazamahttps://www.blogger.com/profile/17142044174072293847noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-48773914876427939792016-06-29T21:41:36.795-07:002016-06-29T21:41:36.795-07:00Why stopping at the + x exp relation, why not keep...Why stopping at the + x exp relation, why not keep going the pattern with the relations due the Conway chained arrow notation? With these simple relations, computation of the V of parallel wires was obtained, it was something nice! Maybe something deeper may happen if the system is generalized.Daniel de França MTd2https://www.blogger.com/profile/01281817409696805377noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-9382962772830697412016-02-02T18:26:11.335-08:002016-02-02T18:26:11.335-08:00I just ran it to this post via another website. I...I just ran it to this post via another website. I am glad to see an article about alternatives to PEMDAS. For several years, I stopped using PEMDAS in my sixth grade classroom and their misconceptions like adding before all subtraction, went away completely. Well, until one of the kids came to class having his older brother help him with his homework. Suddenly he was making so many mistakes. I asked him what his brother did to "help" him and he answered "PEMDAS." I recently got all the other teachers at my school onboard with dropping PEMDAS and our scores on order of operations went up tremendously. I didn't know anyone else used GEMA. Again, like you said, it really isn't necessary to use any mnemonic at all, but it was the only way to get some to drop PEMDAS. Lovely article!LD Helferhttps://www.blogger.com/profile/15362613994636151867noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-13261392684388020082015-11-14T12:02:54.975-08:002015-11-14T12:02:54.975-08:00As the author wisely noted at the end of his artic...As the author wisely noted at the end of his article, it never hurts to have too many parentheses! <br />/Bravo, --problem eliminated!Lonewolf™https://www.blogger.com/profile/17592367417704960634noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-31773975960037273592015-08-16T09:00:27.189-07:002015-08-16T09:00:27.189-07:00Love it!Love it!Paul Ohttps://www.blogger.com/profile/06294340052733992008noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-18584089043896129122015-05-20T14:16:29.116-07:002015-05-20T14:16:29.116-07:00A computer scientist might argue "2" is ...A computer scientist might argue "2" is the "natural" logarithm base (anything binary). <br /><br />PS: damn this commenting system is weird.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-66242648144597530652015-04-29T18:21:13.317-07:002015-04-29T18:21:13.317-07:00Interesting idea, but I'm not at all a fan of ...Interesting idea, but I'm not at all a fan of that "visual cancellation rule" as phrased. There's no real mathematical reason behind it - it's all smoke and mirrors, which is pedagogically dangerous. You're relying on the "b^\b^" resembling a fraction that "cancels" to be 1, after which a multiplication sign magically appears next to the exponent. Math should be logical, not magical. Cancelling things is ubiquitous, sure, but you have to know *why* it works.<br /><br />That being said, I would be interested in seeing a linear form of the radical symbol and my reflected version of it.Bill Shillitohttps://www.blogger.com/profile/17774101901445053590noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-25252635717616844032015-04-29T17:42:35.800-07:002015-04-29T17:42:35.800-07:00Great idea. I had been searching for a notation t...Great idea. I had been searching for a notation that could be "typed" in linear text form. To that end, I had played around with combinations of the caret ^ and forward and reverse diagonals / \<br /><br />Given the linear notation for power:<br /><br />Power: b ^ e = p<br /><br />For root, I suggest the symbol ^/ (caret, slash):<br /><br /> p ^/ e = (b^e) ^/ e = b<br /><br />My root notation represents an "abbreviation" of the identity: e-th root of p equals p to the power 1/e,<br />that is: (b^e) ^/e represents (b^e) ^ (1/e) = b ^ (e * 1/e) = b ^ 1 = b<br /><br />But to get this advantage, I must reverse the order of base and power in the traditional notation.<br /><br />So, in similar vein, your log symbol could be represented by the symbol: ^\ (caret, back-slash):<br /><br />log: logb(p) = b ^\ p = b^\ (b^e) = e<br /><br />This is suggestive of a "visual cancellation rule" <br />b^\ (b^ e) "equals" ( b^ \ b^) e "equals" 1 * e = e.Anonymoushttps://www.blogger.com/profile/11397759210330425019noreply@blogger.comtag:blogger.com,1999:blog-3748625510348961342.post-40938453703237601762015-04-28T16:50:42.594-07:002015-04-28T16:50:42.594-07:00My only problem with the new notation stems from t...My only problem with the new notation stems from the laziness of the writer. Since 2 is the most natural root and e is the most natural base for logarithms, we don't bother writing the 2 when we take the square root or writing the e when we take logarithm base e (whether you denote this as log or ln is a matter of preference). It wouldn't make sense to compromise on which should be considered natural for both notations since the e^th root doesn't naturally come up and log base 2 doesn't come up much (except maybe in computer applications). I could see how there would be confusion as to why leaving the number off when the sign is in one direction implies something different than leaving the number off when the sign is in the other direction.<br /><br />That said, I like this idea and think the advantages that you explained outweigh this disadvantage.Anonymoushttps://www.blogger.com/profile/08525366375056584669noreply@blogger.com