![]() In: USENIX security symposium, San Francisco, pp 191–206Īkritidis P, Markatos E, Polychronakis M, Anagnostakis K (2005) STRIDE: polymorphic sled detection through instruction sequence analysis. Kiriansky V, Bruening D, Amarasinghe S (2002) Secure execution via program shepherding. Buffer overflows typically have a high severity ranking because they can lead to unauthorized code execution in cases where attackers can control the overwritten. In: ASPLOS, New York, pp 85–96Ĭrandall J, Chong F (2004) Minos: control data attack prevention orthogonal to memory model. ![]() A buffer overflow attack occurs when an attacker sends more data to an application or service than it is expecting. Sending too much data to an application that allows an attacker to run arbitrary code. Suh G, Lee J, Zhang D, Devadas S (2004) Secure program execution via dynamic information flow tracking. Using a dictionary file to crack passwords. Flaws in buffer overflows can exist in both application servers and web servers, especially web applications that use libraries like graphics libraries. In: ACM CCS, Washington, DC, pp 281–289Ībadi M, Budiu M, Erlingsson U, Ligatti J (2005) Control-flow integrity. Attackers use a buffer overflow to corrupt a web application’s execution stack, execute arbitrary code, and take over a machine. In: ACM CCS, Washington, DC, pp 272–280īarrantes E, Ackley D, Forrest S, Palmer T, Stefanovic D, Zovi D (2003) Randomized instruction set emulation to disrupt binary code injection attacks. Kc G, Keromytis A, Prevelakis V (2003) Countering code-injection attacks with instruction-set randomization. In: USENIX security symposium, San Antonio, pp 63–78 In: ACM CCS, Washington, DC, pp 298–307Ĭowan C, Pu C, Maier D, Hinton H, Bakke P, Beattie S, Grier A, Wagle P, Zhang Q (1998) Stackguard: automatic detection and prevention of buffer-overflow attacks. Shacham H, Page M, Pfaff B, Goh EJ, Modadugu N, Boneh D (2004) On the effectiveness of address-space randomization. In: USENIX security symposium, Washington, DC, pp 105–120 In: ACM CCS, Alexandria, pp 322–335īhatkar S, DuVarney D, Sekar R (2003) Address obfuscation: an efficient approach to combat a broad range of memory error exploits. data exceeds the size of the temporary space that is allocated in the memory to hold data. In: USENIX security symposium, Baltimore, pp 177–192Ĭadar C, Ganesh V, Pawlowski P, Dill D, Engler D (2006) EXE: automatically generating inputs of death. In: ACM CCS, Alexandria, pp 552–561Ĭhen S, Xu J, Sezer E, Gauriar P, Iyer R (2005) Non-control-data attacks are realistic threats. Shacham H (2007) The geometry of innocent flesh on the bone: return-into-libc without function calls (on the x86). Levy E (1996) Smashing the stack for fun and profit.
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![]() While construction was underway, customers needed to rely on the nearby Northlake Mall location for support and service. ![]() Renovations took just over four months to complete, during which crews replaced every visible surface and fixture in the space to be consistent with Apple’s current indoor mall store aesthetic guidelines. Apple’s previous store at SouthPark was limited to tables for training and support anchored by smaller portable forum displays. The full Today at Apple experience begins with a floor-to-ceiling video wall for hosting sessions and a forum dotted with modular seating. With only five locations across the entire state including the relic Apple Southpoint, today’s expansion is significant for customers in surrounding areas. The first was Raleigh’s Crabtree Valley Mall store, which opened last December. ![]() The new Apple SouthPark is the second Apple store in North Carolina to offer the full Today at Apple experience and most modern retail design. It’s likely that some or all of those staff will be transferred to the new store, when it opens.This morning at 11:00 A.M., Apple opened its redesigned retail store in Charlotte, North Carolina’s SouthPark Mall. “All of our team members will continue to support our Charlotte customers at Apple SouthPark and the Apple store online.” “In preparation for a new store we plan to open in the Charlotte area early next year, we will be closing Apple Northlake on March 2,” the company said in a statement. Reading between the lines, it seems likely that Apple planned to open the new store and close the Northlake Mall one at the same time, but staff and management concerns about the shootings led the company to bring forward the closure.įortunately, no employees are being laid off: Apple told Bloomberg that all the staff from the store are being transferred to other roles, either at the remaining Charlotte Apple Store, at SouthPark, or working online. There were no injuries reported.īloomberg sources said that the shootings “contributed” to the decision to close the store, though plans for a new Charlotte store were already in hand. On Tuesday, the shooting took place outside the mall near Macy’s. 5, one shot was fired inside the mall under similar circumstances, resulting in two injuries that were not gunshot wounds. 15 – two of which taking place within the past month, according to Charlotte-Mecklenburg police.ĭuring the December shooting, two people were struck by gunfire around 3 p.m. a string of shootings at the mall since Dec. It follows three shootings at the mall in the past four months: one in December of last year, another last month, and a third one on Tuesday. The store was open for business Wednesday morning and a copy of its website from the previous day showed no plans for it to change business hours or close.Īfter employees were informed of the plan, Apple updated its website to show that the location - at the Northlake Mall in Mecklenburg County - would be shuttered permanently. The company informed the store’s employees on Wednesday that the location would be closing immediately, according to people with knowledge of the matter. yesterday, and Bloomberg reports that staff was only informed on the day. The store closed its doors for the last time at 4 p.m. Please visit our Apple SouthPark store or /shop to shop or connect with a Specialist. In preparation for a new store we plan to open in the Charlotte area early next year, we will be permanently closing Wednesday, March 1st at 4pm.Īll of our team members will continue to support our Charlotte customers at Apple SouthPark and the Apple Store Online. Neither staff nor customers were told about the closure until the day it happened …Įven the update to the store’s webpage appears to have been rushed, with contradictory information (our emphasis): It follows three recent shootings at the Northlake Mall location, the most recent of them the previous day. An Apple Store in Charlotte, North Carolina, was yesterday closed with immediate effect. ![]() It’s always nice, it’s amazing seeing how well it’s held up.” – Martin Chilton 57: Ramones: Merry Christmas (I Don’t Want to Fight Tonight) When Ives was asked about the show in 1978, he replied: “I always watch Rudolph every year. It is now the longest-running holiday special, having aired every Christmas for more than half a century. The popularity of “Rudolph the Red-Nosed Reindeer” has continued unwaveringly, and so has the classic 1964 television show. ![]() The resulting album, which was released with the unusually long title The Original Sound Track And Music From Rudolph The Red Nosed Reindeer: A Videocraft TV Musical Spectacular featuring the voice of Burl Ives, was recorded at Brooklyn Studios and pressed by Decca Records. Ives had released a Christmas album in 1957, and he returned to festive music with his voiceover role as Sam the Snowman in the NBC television special Rudolph the Red-Nosed Reindeer, which aired in December 1964. – Jacklyn Krol 58: Burl Ives – Rudolph The Red-Nosed Reindeerīy the time Burl Ives came round to recording “Rudolph the Red-Nosed Reindeer” in 1964, the song had already been a hit song for scores of musicians, including Bing Crosby, Perry Como, Dean Martin, and Ella Fitzgerald. The tune was also featured on the 2016 album, Disney Channel Holiday Hits. The cast performed the song during the television special, “Disney Parks Presents: A Descendants Magical Holiday Celebration” which received over 48 million views on YouTube. This song sees the cast of the Disney Channel Original Movie Descendants putting a holiday twist on their hit “Rotten to the Core.” The remixed version, “Jolly to the Core,” was sung by the movie’s stars, Dove Cameron, Cameron Boyce, Sofia Carson, and Booboo Stewart. – Jacklyn KrolĬlick to load video 59: Descendants Cast – Jolly to the Core It was even nominated for Outstanding Music and Lyrics at the 61st Annual Primetime Emmy Awards. The song appears in both A Muppets Christmas: Letters to Santa and The Muppets: A Green and Red Christmas. Muppets Gonzo and Fozzie sing about wanting Santa Claus’ job in this little number. Even The Muppets have their very own holiday carol. It’s not just bands that have original Christmas music. – Jacklyn Krol 61: The Muppets – I Wish I Could Be Santa Claus Lucky fans may have seen the trio of brothers perform the song at Walt Disney World and at a “Christmas at Rockefeller” television special. Kevin, Joe, and Nick sing about forgetting presents and wishing for a “girl of my dreams” and even bring out some “fa-la-la-la-las” for good measure. The Jonas Brothers are known for hits like “Sucker” and “Burnin’ Up,” but what you may not know is that they actually released an original Christmas song back in 2007 for the Disney Channel Holiday record. Annual reissues have taken Rea’s original recording into the UK’s festive singles chart on a yearly basis since 2007, and the song enjoyed its highest chart peak to date (No.10) in 2021.Ĭlick to load video 62: Jonas Brothers – Girl of My Dreams 53 in the UK, but it’s enjoyed a robust afterlife. Composed by highly-regarded UK singer-songwriter Chris Rea, the song first appeared on the flipside of Rea’s 1986 single “Hello Friend” but only became a full-fledged A-side when it was released as a single to help promote Rea’s first career retrospective, New Light Through Old Windows in 1988. “Driving Home For Christmas” has become a festive favorite by stealth. ![]() ![]() 66: Dermot Kennedy – Driving Home For Christmas Listen to the best Christmas songs on Apple Music and Spotify, and scroll down to read our best Christmas songs of all time. There is simply something for anyone that’s going to be unwrapping Christmas gifts – kid or adult – below. Drawing up a definitive list of festive hits is a task that would tax Santa Claus himself, but we think these are the best Christmas songs of all time to add to your Christmas Eve playlist ASAP. As the old cliché goes, Christmas comes just once a year – but it’s inspired a truly timeless selection of seasonal songs. ![]() Up until firearms became more prevalent in this region. Swinging this will surely score you critical hits every now.Īn old iron spear that was still used by the cavalry of Bohemi a few decades ago. These swords were nicknamed 'the king's bane' because of how effective they were against Rondon knights in the 12th century.Ī tool used in kitchen that makes up one brutal weapon. A saw blade attached to a bench grinder that is customized to work without being plugged in.Īn old greatsword from the highlands north of Rondon. Can cause burns as well.Ī violent and fierce weapon. A 2-handed slashing weapon that causes severe bleeding.Ī makeshift weapon that is a bit hard to wield, but hard to read properly as well making it an unpredictable weapon with heavy mass. Each thrust of the sword releases some of the poison.įour sickles attached to a broomstick. Can be used as a blunt weapons as well.Ībella starting weapon, Abella drop, loot drop from toolshelves.Ī syringe with neurotoxins attached to an officer sword. Levi and Karin starting choice, Karin drop, Pav drop, speakeasy or loot drop.Ī tool used for assembling wide variety of things. Typically used by the Bremen army officers as a secondary arm. Levi starting choice, speakeasy or loot drop.Ī toggle-locked, recoil-operated semi-automatic pistol. Fires a number of small pellets that stop even larger foes. ![]() Levi starting choice, locked house in old town, speak easy or loot drop.Ī powerful gun with a serious kick. The most common used rifle in the First Great War. Ī bolt-action, magazine-fed repeating rifle. You switch to close-range combat easily with this one. Loot dropĪ rifle with a knife attachment. It also has a long history as a weapon of choice for civilians.ĭrop from sickle-wielding villagers. It could be used for things equal in size, like human limbs for example.Ī tool used for harvesting crops. Originally a tool for cutting tree branches. Swinging this as a weapon is sure to scare away lesser foes. Loot from Daan's bodyĪ medium sized wood axe. It's very short, but very accurate in experienced hands. ![]() The weapon is very heavy and clumsy to wield but causes severe damage when hit.Ĭosts 10 rust-colored pearls from the radiating one, gull brothers dropĪ sharp scalpel. Can cause momentary stun.ĭrops from pipe-wielding villagers and neighbours.Ī long barbed and spiked rod. They are kept around more because of tradition. Swords like these don't see much use these days. What it lacks in size it makes up in speed.Ī sword of an army officer.
Access is from Ray’s Cove Road or Childers Ridge Road. Sideling Hill - Fulton County - 15 miles of summer trail in the Wells Tannery area. Contact: Buchanan State Forest, 25185 Great Cove Road, McConnellsburg, PA 17233. Route 220 north, then take PA Route 150 south for about 13 miles.Trail head GPS location: N 39° 52’ 24.69” W 78° 30’ 34.80”. From the east, take I-80 to Exit 178 and take U.S. From the west, take I-80 to Exit 158 and take PA Route 150 north for about 10 miles. Bald Eagle State Park, Centre County, is along PA Route 150 between Milesburg and Lock Haven. Boats & Bikes offers a wide variety of watercraft rentals- jet skis, pontoons, canoes, kayaks, motor. ![]() Boats & Bikes is a full service boat rental operation located at Bald Eagle State Park in Howard, PA. Boats and Bikes is guaranteed to open May 15th of each year, with some years even earlier if approval is granted from the state park. End your summer on an epic note by heading out on this road trip to these six hidden beaches.About. Bald Eagle State Park’s secret beach in Pennsylvania promises a quiet day of relaxation among nature. Nestled within the natural beauty of Bald Eagle State Park, the Nature Inn combines the comfortable amenities of an inviting bed and breakfast with sweeping views and door-step access to year-round land and water activities. Nature Inn at Bald Eagle State Park Stay in luxury in the newest, greenest inn in Pennsylvania state parks. Generally considered an easy route, it takes an average of 46 min to complete. Experience this 2.1-mile loop trail near Howard, Pennsylvania. Length 2.1 miElevation gain 170 ftRoute type Loop. Trout fishing is excellent and Bass fishing is great on parts of Bald Eagle Creek.Nature Inn Loop. Be sure to stop at historic Curtin Village Ironworks along the way for your picnic lunch. We suggest paddling to the Bullit Run Access on the left where Bald Eagle State Park begins (6.4 miles) Total trip time is 3-4 hours. With 16 overnight guest rooms and multiple meeting spaces, the Inn offers sweeping lake views, comfortable modern accommodations and amenities all within Bald Eagle State Park. The Nature Inn at Bald Eagle is the premier lodge, meeting and event destination within the Pennsylvania State Park system. With two campgrounds, boating, fishing, swimming, the Nature Inn, and diverse habitats that are excellent for wildlife watching, Bald Eagle. The 1,730-acre lake laps the flanks of Bald Eagle Mountain, surrounded by forests, fields, and wetlands. The Winter Report provides ice and snow depth information for state parks.The 5,900-acre Bald Eagle State Park is in the broad Bald Eagle Valley of northcentral Pennsylvania. About seven miles of ungroomed trails are available with proper snow conditions. Some park trails and open areas are suitable for cross-country skiing. This is one of the bigger lakes besides raystown in the state of pa.Cross-Country Skiing at Bald Eagle State Park. It measures over 5900 acres, and has a lake thats over 1700 acres. 18 reviews of Bald Eagle State Park "Bald Eagle state park is located in Centre County, not far from State College Pa. ![]() You will need ammo to transition them to whatever caliber they’re going to carry, once they learn to shoot. 22LR, assuming you have a pistol chambered in that caliber. Fortunately, you can do most of this with. You can easily go through a few thousand rounds of ammo teaching someone to shoot decently. Training can actually end up being your biggest ammo use if you haven’t trained your family in shooting before the disaster happens. So three basic loads of pistol ammo doesn’t come out to more than about 150 rounds, three boxes. That’s because pistols are not used to fight a battle, but as a self-defense weapon. The infantry basic load is three magazines one in the gun and two in a pouch. Stockpiling 1,000 rounds of pistol ammo is even more unrealistic. Each attack will probably get larger and unless you can raise an army, you’re eventually going to be outnumbered and outgunned. I picked three because I seriously doubt any of us could survive more than that. If we assume three attacks on our homes, then three basic loads comes out to 630 rounds. If that’s enough for them, what makes any of us think we’re going to go through more than that in an attack on our home? We’ll probably go through much less. That’s intended to be enough to last one day. How many attacks of your home do you expect to survive? Infantry soldiers only carry 210 rounds of 5.56mm rifle ammo into combat. I think the big factor for those who are recommending that you have 10,000 rounds, is home defense. It’s doubtful that you’d go through more than a few hundred rounds in your entire lifetime. Larger caliber rifle rounds for hunting big game is another matter. Fortunately, that’s cheap ammo, so it’s easy to stock up on. 22LR, perhaps even a few thousand rounds of it. Small game is always more plentiful than big game, so count on a lot of. Related: 6 Best Guns to Have After an EMP Five years after an EMP there might be so much game, that they’re coming into suburbia and you’ll be able to shoot them without ever leaving your property. If 90% of the population dies out, as the EMP Commission has said, then the game will come back with a vengeance. But looking beyond that, a lot will depend on how many people survive. ![]() If we look down the road, chances are that game levels will become severely depleted. Still, stockpiling ammo for hunting makes sense, even if it is unlikely that you’ll be doing much hunting. But if you live in suburbia, it’s not very likely that you’ll be doing a whole lot of hunting. If you live in a small town in the middle of forested mountains, then hunting will probably be a major food source for you. How much ammo you will actually need can be broken down into a few basic categories:ĭetermining how much ammo you need for hunting depends on how much hunting is a part of your long-term survival plan. Others will tell you that you need 1,000 rounds per firearm or per caliber.īoth of these are blanket statements, which don’t necessarily have anything to back them up. The base problem is that none of us have any idea what sort of disaster we’re going to face or how long it’s going to last.īased on that, it only makes sense to figure on the worst-case scenario, something like an EMP with the resulting long-term breakdown of society.īased upon this sort of scenario, there are some who will tell you that you should have 10,000 rounds of ammo, possibly even breaking that down into different types for your different guns. Like anything else we add to our stockpile, that’s difficult to say. The big question for most preppers is how much ammo they should have on hand. Besides, you probably already have your guns. I’m just going to limit myself to talking about ammo here, as one article isn’t enough to cover both guns and ammo. ![]() Having said that, let me try and give you a few ideas. So ultimately you’ve got to make your own decisions. What works for one, may not be ideal for another. There are a lot of opinions floating around out there and there really isn’t one pat answer which works for everyone. ![]() No, what I’m talking about is what guns to have, how many guns to have, and how much ammo you need for them. There are plenty of anti-gun people in the world, who will be glad to tell you how wrong you are for having those guns in the first place. I’m not talking about whether or not you need them it really doesn’t matter what people think about that. Some of the more controversial items in any prepper’s stockpile are guns and ammunition. Use our Chrome Extension & instantly connect with prospects. LightSpeed VT is a privately held company headquartered in Las Vegas, Nevada. Learn about their Training, Education market share, competitors, and LightSpeed VTs email format. ![]() LightSpeed VT enables clients to close the entire communications loop: we help them speak more effectively, and we ensure audiences engage, listen and learn. We deliver forward-thinking reporting tools that help managers and owners understand who is learning and who is not, and who needs extra coaching. We find those systems typically yield minimal engagement, poor retention and ultimately result in tremendous amounts of wasted time and resources.Ī better training experience is not enough. ![]() ![]() Engineered at The Orleans Las Vegas, Downtown Grand Las Vegas, Suncoast. Most eLearning, LMS or online training systems only excel at serving up very laborious, non-engaging, slideshows or text-covered web pages that no one wants to read. as LightSpeed VT, Vegas PBS, Sightline, Orleans, AIS and Downtown Grand. Our training system was designed around the end-user experience. We do this by delivering the ultimate in private-labeled interactive virtual training systems.īeyond our training system, we collaborate with our clients to produce rich interactive video content and implement progressive testing experiences to ensure effective learning and retention. LightSpeed VT Pay & Benefits reviews in Las Vegas, NV Review this company. We offer competitive compensation, benefits package, and opportunities for career advancement.Every day, LightSpeed VT helps companies, trainers, professional speakers and entrepreneurial subject matter experts to maximize their training effectiveness, automate accountability, reduce costs and in many cases drive new revenue. Leave a review and share your experience with the BBB and LightSpeed VT. As a Sales Manager, you will play a crucial role in driving sales performance, building relationships with clients, and expanding our customer base. We even offer a massive selection of new & pre-owned classics, hot rods. Join our team as a Sales Manager and be part of a dynamic organization that values growth, innovation, and teamwork. eBay Motors makes it easy to find parts for cars, trucks, SUVs, motorcycles & more. LightSpeed Virtual Training Technology, Information and Internet Las Vegas, Nevada 2,674 followers We’re creating a world where success is guaranteed by enabling you to TrainVirtuallyEveryone. Skills: - Proven experience in sales management or a similar role - Strong leadership skills with the ability to motivate and inspire a team - Excellent communication and interpersonal skills - Ability to build and maintain relationships with clients and customers - Strong negotiation and problem-solving skills - Results-oriented mindset with a track record of achieving sales targets - Proficient in using CRM software and other sales tools ![]() Responsibilities: - Develop and implement sales strategies to achieve company goals and targets - Manage and lead a team of sales representatives to drive sales performance - Build and maintain strong relationships with company executives - Identify new business opportunities and develop strategies to expand the customer base - Monitor market trends, competitor activities, and customer preferences to stay ahead of the competition - Provide excellent customer service and address any customer concerns or issues promptly - Prepare sales reports and forecasts for management review - Collaborate with other departments to ensure seamless operations and customer satisfaction ![]() With visuals like these, watching the chaos of 128-player matches unfold in front of your eyes is spectacular. Audio and graphics are as snazzy and impressive as ever, especially with ray tracing enabled. Lastly, the game's presentation is great overall, which is typical of DICE and its in-house Frostbite engine. I've had a blast rapidly switching between attachments to adapt to the enemy and spawning tanks in places they're not supposed to be (I've shot down several helicopters by spawning them on buildings). The former allows you to swap between your weapon attachments on the fly, while the latter provides on-demand ground vehicles airdropped to your location. I also love Battlefield 2042's Plus System and vehicle call-ins, both of which are new for the franchise. Source: Electronic Arts (Image credit: Source: Electronic Arts) ![]() Each map in 2042 has its own character and charm, and I appreciate that variety. Renewal features several dense chokepoints where defensive tactics shine, while the sandstorms of Hourglass restrict visibility and corral players into close-quarters combat. For instance, the sprawling glaciers and ice sheets of Breakaway are open and encourage lots of heavy vehicle play, while the claustrophobic mazes of shipping containers on Manifest are best conquered with lots of infantry. The game's six other maps were designed with carefully-placed sightlines and spawn zones, and each map features a distinct theme and overall design direction. In 2042, they're armored like a tank and come with multiple grenade launcher and minigun gunner positions, giving them the durability and firepower necessary to act as a mobile spawn point for teammates to use near objectives.īattlefield 2042's maps are also excellent across the board, with the sole exception being Orbital due to its overly-flat terrain and sparse layout. There's a lot of content to get stuck into here, and even more when it comes to the full release date, so keep an eye out for that.The developers even managed to make transport helicopters good, which is a first for Battlefield. You'll even get to try out the robot dogs in the Beta, as well as a range of vehicles and weapons. They each have different unique abilities, from a grappling hook for taking high ground quickly to a recon drone for scouting out enemies before engaging. In the Open Beta, you'll get the chance to play as four of the game's Specialists: Boris, Mackay, Falck, and Casper. Let's just hope you get the chance to see a tornado in-game. ![]() The beta will end on October 9th, so get as many games in as you can during that time! You can still gain early access by joining EA Play or pre-ordering, so if you're desperate to get playing then give it a shot.Ĭheck out out countdown to the Battlefield 2042 Open Beta start time if you haven't already pre-ordered it - check the PC Requirements and get into Orbital - it's a really impressive accomplishment. You can jump into a game of Conquest on the Orbital map if you've got the early access pre-order, or just wait a couple of days and start playing it on the open access date of October 8th 2021. The Battlefield 2042 Open Beta is finally here! Available on PC, Xbox Series X | S, PS5, Xbox One, and PS4, you can play the Battlefield 2042 Open Beta if you've pre-ordered Battlefield 2042. This should involve working with numerals, words and the 4 operations, including with practical resources. The principal focus of mathematics teaching in key stage 1 is to ensure that pupils develop confidence and mental fluency with whole numbers, counting and place value. ![]() Schools are not required by law to teach the example content in or the content indicated as being ‘non-statutory’. ![]() Attainment targetsīy the end of each key stage, pupils are expected to know, apply and understand the matters, skills and processes specified in the relevant programme of study. All schools are also required to set out their school curriculum for mathematics on a year-by-year basis and make this information available online. In addition, schools can introduce key stage content during an earlier key stage, if appropriate. Within each key stage, schools therefore have the flexibility to introduce content earlier or later than set out in the programme of study. Schools are, however, only required to teach the relevant programme of study by the end of the key stage. The programmes of study for mathematics are set out year-by-year for key stages 1 and 2. They must be assisted in making their thinking clear to themselves as well as others, and teachers should ensure that pupils build secure foundations by using discussion to probe and remedy their misconceptions. The quality and variety of language that pupils hear and speak are key factors in developing their mathematical vocabulary and presenting a mathematical justification, argument or proof. The national curriculum for mathematics reflects the importance of spoken language in pupils’ development across the whole curriculum – cognitively, socially and linguistically. In both primary and secondary schools, teachers should use their judgement about when ICT tools should be used. They should therefore only be introduced near the end of key stage 2 to support pupils’ conceptual understanding and exploration of more complex number problems, if written and mental arithmetic are secure. Information and communication technology (ICT)Ĭalculators should not be used as a substitute for good written and mental arithmetic. Those who are not sufficiently fluent with earlier material should consolidate their understanding, including through additional practice, before moving on. Pupils who grasp concepts rapidly should be challenged through being offered rich and sophisticated problems before any acceleration through new content. However, decisions about when to progress should always be based on the security of pupils’ understanding and their readiness to progress to the next stage. The expectation is that the majority of pupils will move through the programmes of study at broadly the same pace. They should also apply their mathematical knowledge to science and other subjects. The programmes of study are, by necessity, organised into apparently distinct domains, but pupils should make rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. ![]() Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language.become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.The national curriculum for mathematics aims to ensure that all pupils: A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Mathematics is a creative and highly interconnected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. ![]()
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