The News Media Alliance, a trade group representing newspaper publishers, is urging Congress to add the bill to the defence bill, arguing that "local papers cannot afford to endure several more years of Big Tech’s use and abuse, and time to take action is dwindling. We will not share your details with third parties. What could the next 10 years look like at YEP? It's a ride to definitely be apart of YEP.I have read and accept the privacy policy and terms and conditions and by submitting my email address I agree to receive the Digital Nation newsletter and receive special offers on behalf of Digital Nation, nextmedia and its valued partners. "Giving our staff key insights on their products allowing us to give our clients in depth details about the best solutions that might fit their needs" YEP just does not duck dive into products they recommend but go through a strategic training and development process direct with manufacturers making sure YEP give the best and clear advice on all retailers offerings, some key partnerships have developed because of this with Powerwave, Solarwott, Delta Australia and Sonnen Australia coming on a key partners over the journey. "It has been overwhelming with the amount of support we have received and over the past year " stated Jamie Marciniak YEP is making life easy for both retailers and homeowners. We can honestly see why with a growing brand, and a fully automated back end. Your Energy Partner is very much a story of success with solar retailers contacting YEP for partnership right across Australia on a monthly basis. Your Energy Partner are currently looking at VPP options and are currently progressing talks with energy retailers for a Victorian rollout in 2022-2023. We are proud to endorse YEP and how they support the industry. Their work is vital for customers and the economy. ❝ YEP stands alongside customers to make sure they always have the lowest power bills. Retailers can do what they do best which is install rooftop solar PV systems. "We are presenting retailers with up to 100 new clients a week and in turn they are relieved of marketing costs such as the cost of a sales team, engineering team and also an administration team as we are providing all those services, including all paperwork. Sharing the benefits: The good news is that despite the heavy focus on ensuring customers get the right advice and system, it's also great for companies involved in rooftop PV installations. YEP was designed first and foremost to help homeowners make an informed decision about purchasing solar installations," stated Jamie Marciniak, who has run some of Melbourne's largest and most influential solar businesses. "The business I founded with Cameron Bell, who has an entrepreneurial flair and is a marketing genius. YEP has navigated the Victorian and Western Australia markets, brokering over 1000 installations and climbing on a weekly basis. a crowdfunding firm to raise more capital for YEP national expansion project to be completed by 202, bringing more choices to Australian homes when it comes to solar. The rise from launch in May 2019 to present day has been nothing less than phenomenal, with Your Energy Partner turning over $1.7 million in just 12 months of operations. IF SOLAR BROKER, Your Energy Partner was a car it would be a Porsche, given its speed of acceleration.
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125-Foot Roll-Has perforations every six inches. Use nearly anywhere including veterinarian clinics, hair salons, hospitals, gyms, schools, offices. Take as little or as much as needed - comes in rolls perforated every 6". Use under any flat floor tool or high duster. Glides through and traps debris, especially hair. Convenient disposable sheets mean no laundering. The solution was implemented in the beginning of the floor cleaning process by dusting with Easy Trap sweep and dust sheets to eliminate dust and debris before wet mopping. 3M Easy Trap Duster system traps and holds six times more dust, dirt, sand and hair than traditional mops and other disposable dusting systems. Sweep and dust sheets reduce the risk of bad impressions by trapping up to 8X more dirt, dust and sand than when using traditional dust mops or a competitive sweeping dust cloth brand. The hospital partnered with 3M to identify the best cleaning solutions for its unique facility and selected the 3M Easy Trap Sweep and Dust Sheets for its dusting needs. Use with the Easy Trap Flip Holder which enables one to utilize both sides of the duster without touching it (holder sold separately).Įasy Trap Duster, 5" x 125 ft, White, 2 250 Sheet Rolls/Carton Works for both high dusting and floor maintenance. Turn your cleaning crew into a highly trained strike force with 3M Easy Trap Duster sweep and dust sheets. More Information Specially developed disposable sheets hold four to six times more dust, dirt, sand and hair than traditional mops. Transcription & Transcription Accessories.Security and Surveillance Systems and Accessories.Versatile Works on nearly every surface perfect for retail, healthcare, schools, hotels, gyms, banks and more. Effective Traditional dusting tools just push dust around. 3M Easy Trap Duster - sweep & dust sheets are convenient easy-tear, disposable dust sheets that collect up to 8X more of that pesky dirt, dust and sand that. Printers & Copier/Fax/Multifunction Machines 3M Easy Trap Duster sweep & dust sheets Increase productivity.Presentation/Display & Scheduling Boards Sweep & dust sheets trap dirt, hair, sand and dust.Forms, Recordkeeping & Reference Materials.File Folders, Portable & Storage Box Files 3M Easy Trap Duster Sweep & Dust Sheets, F-ETRP-DUST-LRG, 125 ft (38.1 m) roll, 8 in x 6 in (20.3 cm x 15.Desk Accessories & Workspace Organizers.Classroom Teaching & Learning Materials.Calendars, Planners & Personal Organizers.Air Cleaners, Fans, Heaters & Humidifiers Theyll See You Dont Care + Leave You 3M 85920 Easy Trap Floor Duster dust mop cloth is a professional, commercial-grade floor trap that actually traps and. AH00489: Apache/2.4.46 (Unix) OpenSSL/1.1. ABOUT Codelink v2 - Hacking Simulation Official Codelink v2 Website Official Codelink v2 Forum VIEW ALL. AH01873: Init: Session Cache is not configured Also now I got other exception: The remote server returned an error: (502) Bad Gateway.:((( Andrey Bushman. You will need the Diagnostics Module, and ATTACK script for each. AH00094: Command line: '/www/server/apache/bin/httpd' This video covers the basics when attacking NPC servers and taking ownership of the cPanel. AH00489: Apache/2.4.46 (Unix) OpenSSL/1.1.1i configured - resuming normal operations AH02282: No slotmem from mod_heartmonitor With players from all over the globe, the various time zones ensure that you are never alone when connected.I got the following errors: AH01873: Init: Session Cache is not configured Everything in the game world is live 24/7. (like 34 vs 5)Ĭodelink v2 is an Online MMORPG type game that takes place in a persistent universe. So just to be clear, YES, you can PVP without limits. A mail client lets you access your email account from an app on your computer or mobile device instead of by visiting a URL address (for example, the Apple® Mail client). Jul 11, 2022, 5:21 AM Hello All, Earlier (stv1) Azure APIM instance - self hosted gateway, used to have a Deployment configuration end point url like (/subscriptions etc.) or (.They all worked flawlessly on the old box but it seems that the recaptcha test fails on the new server. Missions to recover and delete data from these servers will be the bread and butter of the early agent career. Many of them use contact us forms with Google recaptcha v2. Community Firewall Cracker Edit The Firewall Cracker will likely be an early acquisition for a new hacker because it defeats the firewall protection that is often found on the corporate file servers on a company system. UMPlayer 0.98 Media player that fills all your needs. I got a second server recently and I am migrating a handful of sites off of the old box. Macromedia Flash 8 8.0 Macromedia Flash 8 Professional. Cheat Engine 6.8.1 Cheating for experts Counter-Strike 1.6.0 A MOD for Half-Life. Horizon 2.9.0.0 Innovative Xbox 360 modding tool. Innovating on the concepts it has drawn from Uplink, Codelink gives the unique opportunity of being able to interact with other players via in-game chat, hacking into other player's systems, exchanging information privately, attack rival player's networks, upgrading your Gateway's hardware capability, purchasing many kinds of software, hidden secrets and many captivating characteristics within the game. The Set Up Mail Client interface helps you configure a mail client to access an email address. Download Now Codelinkv2 2.0 (External server) Popular Downloads. Drawing from it's spiritual predecessor Uplink: Hacker Elite, CodelinkV2 submerges you in a vast universe of addictive game-play and concepts as-of-yet unseen in any other hacking simulator. Codelink v2 is the next generation of barrier breaking online hacking simulation. Hunter’s reference to, “you can’t lock up the darkness,” could point to Barry facing his own darkness. Sorry, but kidnapping Caitlin Snow doesn’t quite cut it. Zoom has yet to truly do anything horrific to Barry, so I am waiting for the other shoe to drop. I could be wrong and I certainly hope I am. Related The Flash Season 9 Episode 10 Review: A New World, Part One Goodness is taught, but it’s also a decision. Killing Joe, Barry’s nurturer, means The Flash can show that Barry will choose to be a hero because it’s in his nature to do so. A parent’s death often triggers this phase. They move from their childhood into adulthood. The Flash is about Barry’s hero’s journey and at a certain point every hero faces a graduation. Their suddenly strong bond feels like a loose end being tied up. Worst of all, Wally calls Joe “Dad.” Of course, this is wonderful, but Joe’s main storyline this season has been about building a relationship with Wally. Both Caitlin and Iris remark on Joe and Barry’s strong bond. Joe is very against Barry facing Zoom again. The mere idea is almost too terrifying and heartbreaking to even conceive of, but there are subtle hints to it. What if… The Flash is prepared to strip more from Barry than just his speed? Perhaps The Flash will strip the very nurturer Barry credits with raising him into the person he is today. Here’s where things get nerve-wracking as we head into the finale. Who is Barry Allen without his speed? Does he go back to being a regular man or is he still a hero? Stripping Barry’s speed means The Flashis preparing to answer the nature versus nurturer question. It’s certainly not what a hero would do, but more importantly it’s not what Barry Allen would do. Barry has no intention of sacrificing Wally to Zoom. He made those choices and therein lies his accountablility. Nobody forced Hunter Zolomon to become Zoom. Related The Flash Season 9 Episode 5 Review: Mask of the Red Death, Part Twoīarry Allen has free will as does Hunter Zoloman. Barry’s choice was made easier because he had the love and support of Joe and Irish West, but it doesn’t change the fact he made the decision. There still exists a choice to rise above the darkness or to succumb to it. There are plenty of people who have terrible childhoods and grow up to be good people. Is it more difficult?Ībsolutely, but not impossible. So is that it? Are the environments these men grew up in the reason one became a hero and one became a murderer? It’s not that simple. Hunter did not find a warm and nurturing home like Barry did. However, the loss of his parents led Barry to Joe and Iris West. Barry’s father was innocent and Hunter’s father was not. Hunter’s back story is the same as Barry’s except his happens to be true. Hunter Zolloman’s father killed his mother in front of him. The Flash strongly favors nurturer over nature when comparing Hunter Zolloman (aka Jay Garrick aka Zoom) to Barry Allen. * Face palm.* Zoloman kidnaps Wally, gets Barry’s speed and zips back to Earth 2 with Caitilin. After a little supervillain monologue, Zoom phases out of those cuffs like Oliver Queen zip cuffed to a chair. It works, but it always feels like Zoom wants it to work. The cardboard cut outs of Zoloman’s dead parents is a heavy-handed psychological trick to capture him. His young hero hubris often leads to trouble. However, Barry doesn’t know all that much about Zoom. He refuses to leave Earth 2 in the hands of Zoom. I understand he’s motivated by selfless desires. This seems to be a pattern with Barry this year. The Flash’s“Versus Zoom” illuminates some information about Jay Garrick, but it’s clear Barry Allen is still very much in the dark when it comes to his arch-villain.īarry and Jay go mano a mano even though most members of Team Flash think it’s a terrible idea. Rather than fill the screen with pop-ups, it simply displayed the number of threats in a single pop-up, with a link to view the list by filename and threat name. As soon as the folder opened, it started stacking up notifications. The Pro edition did better, by a long shot. Rather than score it a big fat zero, we gave it credit for removing 85% of the samples during its required install-time scan-quite a bit better than in its last review. Lacking any real-time protection, the free TotalAV antivirus did neither of those. Others wait until just before the sample executes to activate a real-time scan. For many products, the tiny file access that occurs when Windows Explorer gets each file's name and size is enough to trigger a real-time scan. We start the hands-on malware protection test by opening a folder full of malware samples that we’ve curated and analyzed. F-Secure and McAfee managed 100% detection in their latest rounds of testing, while Bitdefender and Norton detected 99%. In the latest test, that score dropped to an unimpressive 73%. Since that protection is the same, free or paid, we didn't have to run the lengthy and arduous antiphishing test again.Īt the time of our previous review, TotalAV detected 89% of the verified phishing sites, which is better than many competitors. Phishing sites try to steal your login credentials by mimicking bank sites or other secure sites when you log in to the fraudulent page, you've given away your account to the evildoers. However, protection against phishing sites comes from the same WebShield component. TotalAV’s score is decent, but not tip-top.Īs mentioned, the paid TotalAV includes real-time protection not found in the free edition. Avast Free Antivirus, AVG, Bitdefender, ESET, and G Data also got three Advanced+ ratings, along with 17.5 points from AV-Test. It earned 18 points from AV-Test and took three Advanced+ ratings from AV-Comparatives. Kaspersky, tested by all four, earned the full 10 points. And in three tests by AV-Comparatives, it earned top-tier Advanced+ certification once and Advanced twice.īased on those two lab results, TotalAV’s aggregate lab score is 9.2 of a possible 10 points. It didn’t quite make the 18-point maximum score in tests by AV-Test Institute, but its score of 17.5 was enough to earn it the designation Top Product. Now it shows up in two, with good scores. As you can see from the review, we’re not impressed with that move.Īt the time of our last review, TotalAV didn’t appear in test reports from any of the four antivirus labs that we follow. In a very unusual move, TotalAV not only removes bonus features, it also strips essential real-time protection from TotalAV Free Edition. Many antivirus companies pack full protection into their free product, relying on added features or a personal-use-only clause to drive sales of the paid version. Given this product’s high price, you won’t want to waste any licenses. TotalAV lets you gift unused licenses to others while giving them their own accounts. However, their installations remain part of your subscription, under your control. With any multi-license antivirus subscription, you’re free to use your licenses to protect family members. The other three invoke Password Vault, Family Account Sharing, and Settings.įamily Account Sharing is interesting. Pointing to three of them pulls out submenus for Malware Protection, Internet Security, and System Tune Up. Once you upgrade to Pro, your status switches to the serene green of full protection.Ī left-rail menu contains six icons. In the free edition, the big status indicator always displays a yellow warning status, because real-time protection isn’t (and can’t be) enabled. This product’s dark-themed main window looks almost exactly like that of the corresponding free antivirus, with one big exception. TotalAV Total Security raises that to six licenses and adds an ad blocker and a password manager, at a cost of $149 per year. TotalAV Internet Security adds VPN protection and gives you five licenses for a list price of $119 per year. Rather, if you want more licenses you must buy a more advanced product. Like Trend Micro Antivirus+ Security, TotalAV doesn’t offer different pricing tiers. Best Hosted Endpoint Protection and Security Software. Since Update 3 ftp NEW recordings from same 11 cameras play back out of sequence: (28, 29, 26, 27, 24, 25) off NAS.īut old recordings still play back correctly: "in sequence" off NAS. Prior to updates ftp recordings of pictures from Security cameras played back in sequence: (29, 28, 27, 26, 25, 24 etc) off NAS. as did the File Station and Drive Service that accompanied Update 3īut I Did find one issue that surfaced since Update 3. Supports Let's Encrypt ISRG certificates. This is because of Windows software's continuous attempts to access the shared folders to which it has no permissions.įixed an issue where Windows File Explorer might not update file deletion or removal in real time when folders are mounted via SMB.įixed an issue where the system might not report the power status correctly on SA3200D.įixed an issue where the setting pages after first-time DSM installation might not launch on Synology NAS models with multiple LAN ports.įixed an issue where users were not able to empty the recycle bin of the "usbshare" shared folder.įixed an issue where administrators were not able to change the "User must change password at next logon" setting via Windows RSAT.įixed an issue where domain users could not be added to built-in groups via Windows RSAT.įixed an issue where enabling the "Collect debug logs" option for SMB might result in excessive system space usage.įixed an issue where the system might send incorrect port forwarding notifications after a restart.įixed an issue where SHA-1 certificates might disappear when users click "Upgrade certificate".įixed an issue where DSM might block users' IP addresses and create excessive logs when they tried to sign in after re-installing DSM.įixed an issue where incorrect drive compatibility information was displayed after drive migration.Įnhanced the stability of network interface cards on certain models.įixed an issue where links in password reset emails did not work when the URLs exceed the maximum length.įixed an issue where packages did not update automatically due to dependency problems.Įnhanced SAS controller stability during system shutdowns.įixed multiple security vulnerabilities. Affected models include:Ģ0-series: FS6400, DS1520+, DS920+, DS720+, DS420+, DS220+įixed an issue where when users access files on DSM using Windows software via SMB, system performance might be affected. Increased the maximum number of IP camera channels on FS6400 to 150.įixed an issue where support ticket submissions might fail in a certain version of Google Chrome.įixed an issue where Windows 10, version 2004 virtual machines might fail to power on when users select UEFI as the firmware.įixed an issue where there might be network disconnections on Virtual DSM.Įnhanced the stability of SSD caches when multiple processes are accessing the same cache at the same time.įixed an issue where CMS managed servers might not connect to the CMS host after they restarted.įixed an issue where disks in Resource Monitor performance charts were not displayed in the correct sequence. Photo Station must be updated to version 6.8.14-3501 or above to be compatible with this update. This update will restart your Synology NAS. The update is expected to be available for all regions within the next few days, although the time of release in each region may vary slightly. The update is not available in your region yet. Only Synology NAS with DSM 6.2.3 installed can be updated to this version. If you want to update your DSM to this version now, please click here (» /dow Your Synology NAS may not notify you of this DSM update because of the following reasons. The release notes for the DS218+ unit: » 6.2.3-25426 Update 3 was apparently put up yesterday. 6.2.3-25426 Update 2 () has been out for some time. RTB became so popular that Pandora adopted a similar service a few years later.īeyond high engagement rates without expensive licensing fees, advertisers love RTB ads for how simple it is to buy the inventory. Meanwhile, massive brands, like Adidas, that paid for advertisements received tens of thousands of engagements from only one display ad. One year after Spotify Ad Studio launched, over 18% of the service’s ad-supported revenue came from real-time bidding audio ads. RTB advertising was an instant success, both for Spotify and advertisers. In addition, RTB allowed companies to skip costly single-use or licensing payments and instead compete with other advertisers through a real-time auction. The platform allowed advertisers to purchase display ads for users’ curated playlists or audio ads for listeners without Spotify’s premium service. Spotify popularized RTB in 2016 through their original ad platform called Spotify Ad Studio. Through both platforms, advertisers can purchase display and audio ads nearly instantly through a process known as “real-time bidding,” or RTB for short. How RTB Audio Ads WorkĪdvertising on Spotify and Pandora works differently from other websites and applications. This includes how users interact with each app, the cost of advertising on Pandora and Spotify, the average revenue of audio ads on music streaming services, and most importantly, where brands can buy effective ad space. While users can stream music on both Pandora and Spotify, how the music is delivered and how users engage with each platform is very different.īelow, we will examine everything you need to know about which music streaming platform is better for your company. While there are several ways people can stream audio, the two platforms that stand head and shoulders above the rest are Spotify and Pandora. Unfortunately for Spotify, they do not possess any proprietary purchase data, which will limit its ability to algorithmically target.Online music streaming has continued to grow its audience exponentially over the past ten years, so it should be no surprise that advertisers have found new and creative ways to run ads to these audiences. For the same reason, some companies are having great success with Amazon’s ad platform (Amazon holds a fair amount of proprietary purchase behavior they can use to make lookalikes). But when Facebook was able to incorporate purchase data into their algorithms, lookalikes became vastly better than any other targeting method. When Facebook launched lookalikes, it was a poor substitute for micro-targeting via interests. What key element is still missing? The ability to build predictive lookalike audiences. You might be listening to the Joe Rogan Experience today, but if I know you were listening to the MarTech podcast yesterday, then I can target you with marketing technology ads on Rogan’s show. Marketers can target interests with greater precision. They know what the listener has listened to in the past. These granular details offer even better geo-targeting than Facebook Spotify can track the user’s location, as well as their billing address, and other places where they spend their time. Now marketers can pay based on a more accurate number of ads heard, rather than total downloads. Plus, Spotify could track if the ad was heard (or skipped). They know when the listener played the podcast. Now marketers can target based on demographics. And if Netflix’s audience continues to increase, they can afford to licence or create even more content, which makes their product better, which attracts more subscribers ad infinitum (or at least until they run out of humans who want to watch premium long-form video). Regardless of their margins today, they can “grow into profitability” just by acquiring more customers. As Netflix grows their subscriber base, the cost to produce a given amount of content remains unchanged. They have very high fixed costs - paying licence fees for content from other studios as well as producing their own original content - but very low variable costs. Aside from a 30-day free trial, there are no (legitimate…) ways to enjoy Netflix for free. The Netflix model is straightforward: the company hosts a platform of video content and they charge customers a monthly fee to access that content. Netflix and Spotify both stream media, but with two very different business models. CLI parameters for silent installation are also not provided. CLO is not provided as an msi installer.Apple iOS, iPad OS, tvOS, Android OS, Windows Mobile, Linux.Autocad should be fine on m1 but i dont have m1 mac and not tested it. BootCamp in macOS, Virtual Machine, Virtual Desktop Infrastructure, Virtual GPU You need a mac that can support windows (intel macs for now) if you really wants to work on a mac.This is a known issue and is being improved. However, it may run a bit slower in a resolution environment of 5K or higher. Ĥ) CLO software supports Retina 5K and higher resolutions. If you want to use version 6.2 or lower on Apple Silicon Mac, you need to install Apple Rosetta. Please note that CLO 7.0 and future versions will not run on macOS Mojave or earlier.ģ) As of CLO 7.0, provides as a native build for both Apple Silicon macs and Intel-chip macs.
With AARP as your partner, you’ll learn how to proactively spot scams, get guidance from our fraud specialists if you’ve been targeted, and feel more secure knowing that we advocate at the federal, state, and local levels to protect consumers and enforce the law. They will be held: April 22 in Syracuse (10 a.m. ucla graduatepressure washing companies near mehot shot delivery jobsAARP. Visit our resource fair before the presentation WHERE: Memorial Hall, 590 Main Street, Melrose, MA 02176 RSVP: This free event is open to the public, but registration is required. AARP New York is hosting contactless shred-a-thons, open to the public. AARP New York will sponsor free shredding events across the state to help keep. The AARP Fraud Watch Network TM is a free resource for all. WHAT: AARP Fraud Watch Network: An Evening with Frank Abagnale in Melrose WHEN: Tuesday, Nov. "These free document shredding events are a way to protect Vermonters from those scams happening around the state."įor more details and specific locations, visit our Events page. “We want to help people stay one step ahead of scammers and identity theft,” says Laura McDonough, AARP Vermont associate state director of communication. Call us at (800) 747-3365, or fill out the form on this page, and we’ll get you a quote for your shred event within minutes. If you’re ready to host a shredding event, ShredNations is ready to help. Identity theft and imposter scams make up about 40% of Vermont's reported scams. Find a Reliable Shredder for Your Paper Shredding Event. Shredding events are part of AARP’s fraud prevention efforts. They also accept pre-shredded paper for recycling. Often called Community Shred Days or Shred-A-Thons, the events are sponsored by the City, Aldermen, and Civic organizations and provide a convenient way to shred and recycle sensitive documents. 20 at Diamond Run Mall parking lot in RutlandĪll events will be held from 11am to 1pm.īring up to three boxes per car of personal papers, such as credit card bills, legal documents, bank statements, old checks and forms that display your Social Security number. From March through November, dozens of free shredding events take place across the City. *Tuesday, August 15 at the Upper Valley Aquatic Center parking lot in White River Junction * Friday, July 14 at Brattleboro Bowl in Brattleboro This event has been postponed and will be rescheduled at a later date. *Wednesday, May 24 at Technology Park, South Burlington The events will be held on the following dates and locations: This drive-through service is free and open to the public. Dallas/Fort Worth, TX AARP Events AARP Events: Online and Around Dallas Filter Events by Category & Date Show State & Local Events Only Featured Event The Healing Art of Qigong This gentle home workout involves slow, rhythmic movements and can help boost your immune system and overall well-being. AARP Vermont's document-shredding events return this year with five dates and locations around the state. This chart should help readers see at least one reason why some children "just don't get math." The erroneous interpretation of what the equal sign means is far from being one small thing that's no big deal. The contrast between an improper and proper understanding of these steps is examined in Chart 2, where the equal sign first is erroneously interpreted in the middle column to mean "I did something" or "is the answer to." In the third column, the equal sign is correctly interpreted to mean "is the same value as." This important skill is often made unnecessarily more difficult by incorrect and misleading interpretations of the equal sign. In pre-algebra and algebra, students need to understand the steps of solving a simple equation in one variable. If students erroneously think that the equal sign means "I did something," for example, then what does the formula for area ("A = L x W") mean? "Area I did something length times width?" Children will correctly realize that doesn't make sense, and they may come away from that encounter also sensing that math just doesn't make sense - all because of an erroneous understanding of what the equal sign means. In each of the following examples, it is especially helpful to stay away from any sense that the equal sign means "the answer" or "I did something" or "add two numbers." These examples use the equal sign to emphasize the simple fact that two quantities have the same value: Math in grades 5-8 - especially algebra and pre-algebra - are filled with examples of mathematical statements that can be confusing if the proper meaning of the equal sign is not in place. Third, an accurate understanding of the equal sign sets students up for success when they encounter more abstract mathematical concepts and procedures in upper elementary and junior high school math. Inaccurate or only partially true definitions might work for a while, but they eventually stop working, while also wreaking havoc along the way. Second, accuracy and truthfulness are especially important when beginning something, since proper understanding and precise perception are the stage for everything that follows. First, accuracy and truthfulness are important, period. It is important at the elementary level for several reasons. The value of having an accurate sense of the what the equal sign means is important at every level of mathematics. That is all the equal sign means - nothing more, and literally, nothing less. In summary, the equal sign means either simply is or simply is the same value as. This is where we have to bring in an alternate meaning of the equal sign, and in this example, "1 dollar is the same value as 4 quarters" is a better definition of what "equals" means. Sometimes, we can also say that "equals" means "is the same value as," such as when we say correctly that "1 dollar = 4 quarters." It is not quite correct to say that "1 dollar is 4 quarters," since it is not true that 1 piece of paper is 4 round pieces of metal.Sometimes, a child will correctly identify one of the proper meanings of the equal sign, but if not, after letting children try for a while, I will give the following multi-step explanation: So, to reiterate my point, my next question is, "Without using the word 'equal,' what does the equal sign mean?" Here are some common answers, along with my responses:īy now, I've really got their attention. Without this caveat, children often try to explain what the equal sign means by saying something to the effect, "Well, the equal sign means that things are equal." To show the importance of not using the same word to explain what a given word means, I take the relatively unknown English word gloaming and explain what it means by using that very same word: "Well, gloaming is when it's gloaming, so when it's gloaming, that's when it's gloaming, so that's what gloaming means."Īfter this self-referential go-around, I then ask the children, "Do you now have any better idea of what gloaming means?" Of course, they shake their heads "no," realizing that it is clearer and more precise to use other words to tell what a particular word means. But the question is, "What does the equal sign mean?" For this question we must add the caveat, "You cannot use the name of the symbol to tell what the symbol means." What does the sign of "=" mean? Of course, the name of the symbol is "the equal sign," or "equals," and it is valuable to know how to verbalize or say the proper words for a symbol such as this. |
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