2 Digit Addition without Regrouping

The goal of this article is to place forward some ideas to simply help with the teaching of addition.

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Combining groups of physical objects: for several students, this really is their most elementary connection with adding up. This technique normally involves collecting two sets of objects, then counting how many objects there are in total. (For example, by building two towers of cubes, and then counting up every single block.) For several, this method may be too involved, particularly for those students who present attention deficit disorder. If the little one cannot hold their attention for your of the activity, blocks is likely to be put awry, towers find yourself with additional blocks, blocks will get confused, and at the end, the wrong answer is arrived at. The length of the process means that if your child doesn’t master the style quickly, they are not likely to create progress at all. In addition, it is difficult to extend this process into a calculation that can be approached mentally: as an example, try to imagine two large sets of objects in your face, and then count them up. Even for adults, this is nearly impossible.

Simple drawings: jottings certainly are a more useful alternative to the process described above. Write out the addition problem on a sheet of paper, and alongside the first number, write down the right number of tallies (for instance, for the number 4, draw 4 tallies). Ask your student to predict just how many tallies you should draw by one other number in the problem. If they arrived at the proper answer, inquire further to draw the tallies. To finish with, ask just how many tallies they have drawn altogether. This technique is a much simpler way of bringing together 2 groups, is less apt to be susceptible to mechanical error, and is way better suitable for students with poor focus. In addition it encourages the kid to associate between what the written sum actually says, and why they are drawing a certain quantity of tallies.


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Counting on: this is a technique based around your student’s capacity to state number names. When your child has reached a phase where they learn how to count to five, start asking them questions like, “what number is 1 more than… ” (eg. what comes after 2 once we count?) This is really equal to answering an inclusion problem of the sort 2+1, but helps to get in touch the ideas of counting and addition, which can be very powerful. This technique gets your student ready to utilize number squares and gives them the confidence to answer problems in their mind. The method can also be made more challenging, by asking, “what number is 2 more than… ” Whenever your child can confidently react to such problems aloud, demonstrate to them the question written down, and explain that this is exactly like the situation you had been doing before. This may help the kid to see addition and counting as fundamentally related, and that new problem is actually something they have met before.

Playing games: this activity could be both a mathematical learning experience in addition to a pleasing pastime. Games that want a counter to be moved around a board do too much to encourage children to count on. If the board has numbers on it, the kid can see that the action is similar to counting out numbers aloud, or employing a number line. Produce a point of remembering to draw awareness of the partnership between using board games and addition.


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Learning number facts: usually, we count on number facts learnt by heart to simply help us answer addition problems. The bottom line is, we do not need to determine the answer to 7 and 10, we simply remember it. Having the ability to recall addition facts permits us to tackle simple maths tasks confidently. Improve your student’s familiarity with known number bonds by singing nursery songs that tell stories of number. Take part in the game of matching pairs with the student, where the point of the game is identify the located area of the question (for instance, 7+8) and the corresponding answer from a set of cards all turned face down. Create some flashcards with simple addition facts written on them, consider the cards one at any given time, and ask the student for the clear answer, giving a good deal of applause when they provide the proper answer. When they’re confident, expand the amount of facts. Games will prevent your son or daughter perceiving addition as dull, and will build confidence.

Addition printables and worksheets: Practise makes perfect – and the proper type of practice also lends more confidence. By utilizing simple worksheets, aimed towards your student’s ability and attention span, you have the ability to significantly enhance your child’s ability with addition, both orally and written down. There are many of free sites offering worksheets that help with the teaching of adding up, but it does matter what adding up worksheets you use. Make certain that the worksheets are targeted at the proper level, being neither too hard nor too easy, and are of the proper length to steadfastly keep up the student’s interest. You should be attempting to provide questions that foster their recollection of number facts, plus a scattering of sums involving some calculation. On the occasions that the student is successful, use the opportunity to provide them a lot of praise; if they create a mistake, don’t appear frustrated, but briefly explain their mistake. Using adding up worksheets in a considered way can really raise your student’s ability.


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My children have been digitally active, and as I look back through the years, one of the finest choices I made was to exhibit my children right from the start the dangers of over-sharing. From the when my daughter asked me for Instagram and after it passed the app test. (it was NOT a social site in those days, but we might discuss that in a different article) Before I let her run wild with it, taking and posting photos to the net for all your world to see, Used to do a few things and made a brief training lesson for her. Here’s what I did so and why.

First thing Used to do was to truly have a conversation with her about WHY she wanted it. During the time it was merely a repository for photos. You could make an account, choose who had use of your account and then upload photos to the account. People who have been allowed access could browse your photos, maybe discuss them. It absolutely was a simpler time. Anyways, during this conversation, she relayed to me several well thought-out, valid reasoned explanations why a healthier happy teen girl may want to share photos, and so we proceeded to talk about the thing that was appropriate to share. Now we all obviously know very well what comes in your thoughts first when someone mentions a young adult girl posting photos on the Internet, and frankly, I have never had an issue with her being provocative or scandalous, so even though our conversation hit that topic, it didn’t stop there or even focus there. What we discussed during our talk was this content of the data within and with the photo, i.e., the metadata. She was required to show location information off on the photos she posted in order that no you could track her or map her from the GPS data that’s attached to the majority of smartphone photos.

Before we continue with the lesson I’d with my daughter, I want to set aside a second and explain WHY it is essential to show location services off for the camera app or remove location data from photos before children post them. (I do NOT recommend turning all location services off on your own child’s device because they are very handy for other such things as locating your child, or getting a device they lost… but which is covered in future articles… )

Every photo that’s taken by each device containing both a camera and a GPS attach location data to the photo. Most photo library programs, like Photos for Mac, Adobe Lightroom, and Google Photos have a simple toggle feature to switch off location data in the photos. Also, since I had this chat with my girl, many services and apps including Instagram, Facebook and Twitter have changed their product to automatically strip out location data if you upload to a particular mapping feature in the service (in Instagram that is’Photo Map’). The danger with GPS tagging children’s photos is so it helps it be quite simple for anyone who would like to, and has access to those photos to create a chart of the location the kids tend to be in. It can very quickly show patterns of travel, behavior, and even with a small amount of work, provide a reasonably accurate map of a school, or home, including layouts of rooms and furniture. If you believe for an instant what a less than reputable person could do with such data, say for example a place of the path your child walks home, a chart of the inside of your house including obstacles, security and family members, and pets. Add to that particular data the relative times that the child is in each of the locations and it becomes a serious security risk for parents and a real danger to children. I’m not an expert with this subject, and I’m not paranoid, but it was a huge enough concern for me personally that I discussed it with my children and took some simple steps, like educating my kids to the potential issue and helping them sanitize the connected data on the photos. If you want more info regarding this topic, just Google’Children location data photos’and click on a few of the more reputable sites. It’s been well included in many news organizations like ABC News, the New York Times and the Washington Post. They did a better and more thorough job dissecting it than I will so I will leave it at that. Back once again to the lesson.

After we had come to an understanding with location data and the dangers of it, and she was contemplating higher than a duck-face or her makeup in the photo, we proceeded to step two.


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We mentioned what data was in the foreground and background and was it safe to share. With this part of the lesson, I took my smart-phone and on the length of several days staged many photos, some completely sanitized for the net and some that had hidden data in the photo. I made a quiz on her behalf (which she thought was stupid..) and she took it, identifying which photos were safe to create and which were not. A few of the photos that I staged were shots of flower arrangements on the table or counter, but with prescription bottles from the household pet in the backdrop behind the subject. Some were photos of games or children playing, but with other uninvolved people reflected in mirrors and other surfaces innocuously in the edges of the shot. I took candid photos of family unit members that have been completely harmless, however, many which were less than flattering or embarrassing. I shot cityscapes that contained candid photos of strangers. One was a photograph of a beautifully plated meal, but with an envelope showing our mailing address off on the side. I included photos of our home from an angle that you could see the address in the background, images of her brothers but making use of their school in the back ground, photos that included her mother’s license plate barely visible at the side of the photo. Anything I possibly could consider that could be used to track, locate, stalk or else make certainly one of us or somebody else feel violated, uncomfortable or self-conscious. I mixed these in with similar photos that were completely sanitary. After I had amassed a volume of photos, I come up with only a little slideshow with a corresponding quiz book to ensure that she could answer questions and make comments on each photo if it were acceptable, or even, why and any thoughts she had regarding them. When she took the quiz, I was amazed at how near to my thinking on each item she already was. I was expecting her as an impetuous tween girl to just post pictures without thinking about any content or any consequences, but even before I explained my thinking and rules to her, she had been way before where I thought she would be. There were some items that she missed, some things she hadn’t considered, but for probably the most part, she could have been quite fine without my help. This is one place where as a father, I often expect my children to be helpless and completely ill equipped. Maybe I don’t trust them as much as I will, or possibly I still see them as helpless little toddlers, but I will more regularly understand that I have inked a great job preparing them for life and they are very smart in their own right. I often have to remind myself that the reason for all this care and thoughtful training is in order that they are prepared to handle life on the own… I digress… After she had finished with the slides and worksheet, we went over them one by one. I made a spot of not being negative, not beating her up over the people she missed. Instead, I made those the kick off point of the conversation, emphasizing WHY they certainly were not approved, how there were elements inside them that seemed innocuous and how those things made the photo seem safe to create, but what was present that manufactured in questionable. Two great and important things originated from this. First, I realized that she had been paying very close attention to the details and that gave me plenty of faith and confidence to let her have the app and be free on earth with it. Second, it showed her precisely what our expectations were to ensure that she could quicker meet them.

This brings me to a side topic that I will not stray too far onto but needs mentioning. In raising my children, more frequently than not, if they do something I don’t approve of, it’s as much a failure of mine to properly convey my expectations since it is them attempting to’escape with something.’ All of the stress factors between us and our youngsters may be attributed as often to bad communication as to bad behavior. More times than not my children are trying as much as I’m to help keep life easy and happy. For the absolute most part, they wish to please us and make us happy. They thrive on praise and wilt when criticized. With this at heart, back once again to the lesson…

When she and I sat down and discussed the ideas of safety and privacy, of respecting ourselves and individuals around us in a confident way it was quite simple to agree with some use standards and to see that we both wanted the exact same things. I was reassured that she would have been a responsible Instagram citizen and she was more aware of some possible dangers she’d previously not considered and was reminded of best privacy and security practices on people internet. Now what should go next is “and we all Instagrammed happily ever after..” This is not the case. While we did have a pleased continuing, (we still use Instagram, so we aren’t to the end yet) there is one thing I hadn’t considered that quickly came into play.

As a parent, we could only react to the stimuli open to us during the time of the response. We could anticipate many things, but on the planet of the internet, of computers and devices and an ever changing landscape of social interaction via the internet, we never know what’ll be next. In case of Instagram, just a few weeks after our lesson and my approval of her use, Instagram made what I consider a core change. They became a full social platform, with friends, and likes and invites and comments and a complete world of interaction that frankly scared the heck out of me. This really is where I learned my hardest lesson of the app store. After you allow a software, you’ve NO WAY to bring it back away. Keep this in mind moving forward. I touched on this back in a youthful article when I mentioned allowing apps for one child on the household share. While allowing these apps is solely at your discretion, taking them back away is extremely hard, I will dive deeper into this in a later article.

I am mentioning this for two reasons. First, I am NOT perfect. I’m writing all this down in case a number of it can help or inspires you, not to exhibit you a perfect plan. There is no perfect plan. I walked down this path with deep thought, conviction, education, and research, and I walked right into this wall. So can you, hopefully not this one, hopefully, I have helped you avoid that one, but there would have been a wall, somewhere, and you will bang your nose when you walk straight into it. Second, I learned through this that everything would be OK. I was back-doored by an app and my thoughtful prized parenting was thrown spacious and the planet didn’t end. My daughter is just a champ. I taught her well and she was equipped and prepared. Even in a different environment than I approved and prepared her for, she was a pro. Did she have issues with things online? Yes, she did. Did it ruin it on her or damage her? Not at all. When she’d an overly amorous follower, she handled it. At one time she even canceled her account and started a different one in order that she might have a do-over and have more control of individuals she interacted with. Because I have been upfront about my concern and her safety, and I had been positive and not condemning, she was upfront with me and never hesitated to discuss options, ask questions and get my input when she did feel like she needed it. In a nutshell, because I trained her to be and then encouraged her to be, she has become a trustworthy and responsible citizen of the internet.

We’ve learn about, discovered, and applied emotional intelligence in a number of ways since Daniel Goleman first popularized it in 1995.

Wikipedia defines emotional intelligence as: “the ability of individuals to acknowledge their own and other people’s emotions, discern between different feelings and label them appropriately, use emotional information to steer thinking and behavior, and manage and/or adjust emotions to adapt to environments or achieve one’s goals.”

Whatever the model (and there are several), whenever we think about emotional intelligence we view it as a confident mix of skills and characteristics.

But what if “the capability of people to recognize… other people’s emotions” can also provide negative consequences?

Theresa Edwards, in a write-up titled: Empathy vs. Sympathy: What’s the Difference explains that “to empathize with someone is always to assume their feelings upon yourself and allow yourself to feel what they feel.”

In the informal experiment I’m going to explain, you will dsicover that empathy got in how of the participants’success.

Simply one of many experiment, Luma Al Halah showed a quick video of a man who ends up sobbing. She then gave the participants a worksheet that had the numbers 1 through 20 placed randomly on the page. They got 1 minute to obtain the numbers so as and complete the worksheet.

Partly two of the experiment, Luma showed a brief video with a person who was simply hysterically funny. She gave exactly the same assignment that she’d given in part one. The participants had to perform a different worksheet with the numbers 1 through 20 placed randomly on the page. Again, they were given 1 minute to find the numbers in order.

Without a sense of empathy with the sobbing man, there would have been no difference in the success rates of the participants in both areas of the experiment.

However, there was a marked difference in the participants’ability to complete the worksheets. After watching the sad video, the participants had a much harder time placing the numbers in order- so much in order that many of them were not able to perform their worksheets in the time allowed.

After watching the funny video, the participants had a much simpler time placing the numbers in order- and many of them could actually complete their worksheets in the full time allowed.

The participants’empathy for the sobbing man left them with sad feelings. The outcome of the experiment showed that we find tasks much harder to do whenever we are sad.

This does not signify empathy is bad and must be avoided. This experiment simply illustrates that emotions, whether happy or sad, will surely affect our performance (or situational intelligence).

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