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Martin Burrett

Mathematics with a Twist by @RTBCoaching - 15 views

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    "I began my personal journey into the world of Cubing when I was attending Regis University in Denver, Colorado in 2009. My senior thesis project involved devising a cryptosystem using the Rubik's Cube to encode and decode messages. Although my involvement with the Rubik's Cube waned post-graduation, it was rekindled shortly after I became a secondary teacher of mathematics in 2014. I had several Rubik's Cubes in my possession from my college days and these decorated the shelves in my classroom. I recall these puzzles catching the eyes of many curious pupils. After months of traditional curriculum presentation, I determined that my students were in need of a novel lesson, one that would ignite a passion for problem-solving. This lesson would involve the colourful and alluring hexahedron puzzle on my desk: the Rubik's Cube."
Martin Burrett

What Makes an 'Authentic' Teacher? by @RichardJARogers - 19 views

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    "It was lunchtime but I didn't mind. Neither did my German teacher. I ran upstairs and entered her room. She was free - success! I pulled out my listening exam script: a set of learned responses to verbal questions that could come up in my GCSE exam. I'm sure she was hungry and I'm sure she wanted lunch. I didn't think about that when I was 16 years old. I probably should have."
Gareth Jones

Looking in the Wrong Places | Edge.org - 5 views

  • We should be very careful in thinking about whether we’re working on the right problems. If we don’t, that ties into the problem that we don’t have experimental evidence that could move us forward. We're trying to develop theories that we use to find out which are good experiments to make, and these are the experiments that we build.   We build particle detectors and try to find dark matter; we build larger colliders in the hope of producing new particles; we shoot satellites into orbit and try to look back into the early universe, and we do that because we hope there’s something new to find there. We think there is because we have some idea from the theories that we’ve been working on that this would be something good to probe. If we are working with the wrong theories, we are making the wrong extrapolations, we have the wrong expectations, we make the wrong experiments, and then we don’t get any new data. We have no guidance to develop these theories. So, it’s a chicken and egg problem. We have to break the cycle. I don’t have a miracle cure to these problems. These are hard problems. It’s not clear what a good theory is to develop. I’m not any wiser than all the other 20,000 people in the field.
  • I’m still asking myself the same question that I asked myself ten years ago: "What is going on in my community?" I work in the foundations of physics, and I see a lot of strange things happening there. When I look at the papers that are being published, many of them seem to be produced simply because papers have to be produced. They don’t move us forward in any significant way. I get the impression that people are working on them not so much because it’s what they’re interested in but because they have to produce outcomes in a short amount of time. They sit on short-term positions and have short-term contracts, and papers must be produced.
  • The field that I mostly work in is the foundations of physics, which is, roughly speaking, composed of cosmology, the foundations of quantum mechanics, high-energy particle physics, and quantum gravity. It’s a peculiar field because there hasn’t been new data for almost four decades, since we established the Standard Model of particle physics. There has been, of course, the Higgs particle that was discovered at the LHC in 2012, and there have been some additions to the Standard Model, but there has not been a great new paradigm change, as Kuhn would have put it. We’re still using the same techniques, and we’re still working with the same theories as we did in the 1970s.
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  • That makes this field of science rather peculiar and probably explains why there hasn’t been much progress. But it’s not like we don’t have any questions that need to be answered. There are a lot of questions that have been around for decades. For example, what is dark energy? What is dark matter? What are the masses of the Standard Model particles? And what’s up with the foundation of quantum mechanics? Is a theory that's fundamentally not deterministic, where we cannot predict outcomes, the last word that we have, or is there something more to it? Is there maybe another underlying structure to reality?
  • but we haven't reached the fundamental level. Maybe we will never reach it. Certainly, the theories that we have right now are not all there is. The question is, of course, if we don’t have any guidance by experiment, how do we make progress? And are we doing the right thing?
  • We’ve reached this point where we have to carefully rethink if the criteria that we’re using to select our theories are promising at all. If one looks at the history of this field in the foundations of physics, progress has usually been made by looking at questions that, at least in hindsight, were well posed, where there was an actual mathematical contradiction. For example, special relativity is incompatible with Newtonian gravity. If you try to resolve this incompatibility, you get general relativity.
  • There are various similar examples where such breakthroughs have happened because there was a real problem. There was an inconsistency and people had to resolve it. It had nothing to do with beauty. Maybe beauty was, in some cases, the personal motivation of the people to work on it. There’s certainly some truth to this, but I don’t think it’s good to turn this story around and say that if we only pay attention to this motivation that comes from ideals of beauty it will lead to progress.
  • If we are working with the wrong theories, we are making the wrong extrapolations, we have the wrong expectations, we make the wrong experiments, and then we don’t get any new data. We have no guidance to develop these theories. So, it’s a chicken and egg problem. We have to break the cycle. I don’t have a miracle cure to these problems. These are hard problems. It’s not clear what a good theory is to develop. I’m not any wiser than all the other 20,000 people in the field.
  • The way that research is funded in foundations of physics and in many other fields just puts a lot of things at a disadvantage that are not pursued anymore. Typically, everything that takes longer than three years to complete, no one will start it because they can’t afford it. They can literally not afford it.
  • Who makes the decisions about the funding? Superficially, people say that it's a funding agency, so it’s the university who get to hire people. But that puts the blame on the wrong party. In the end it’s the community itself who makes the decisions. What do the funding agencies do if they get a proposal? They send it to reviewers. And who are the reviewers? They're people from the same community. If you look at how hiring decisions are being made, there’s some committee and they are people from the same community. They have some advisory boards or something, which contains people from the same community.
  • Even if that wasn’t so, what the people in these committees would be doing is looking at easy measures for scientific success. Presently, the most popular of these measures are the number of publications and the number of citations. And maybe also whether the person has published in high-impact journals. So, these are the typical measures that are presently being used. But what do they measure? They primarily measure popularity. They indicate whether somebody’s research is well received by a lot of people in the same community. And that’s why once a research area grows beyond a certain critical mass, you have sufficiently many people who tell each other that what they’re doing is the good thing to do. They review each other’s papers and say that that’s great and it's what we should continue to do. It’s a problem in all communities that grow beyond a certain size.
  • I later came to the United States and then Canada, and that gave me the opportunity to learn a lot about quantum gravity. I also figured out that much of what goes on in quantum gravity is very detached from reality. It’s pretty much only mathematics. Yes, the mathematics is there, but I still don’t know if it’s the mathematics that describes reality.
  • That’s the very reason why we don’t normally think of gravity as a weak force. It’s the only force that is left over on long distances, and the reason for this is that it adds up. It gets stronger the more mass you pile up. More precisely, we should say that the reason we find it so hard to measure quantum gravitational effects is that we either have a particle that has very pronounced quantum properties, like, say, a single electron or something like that, but then it’s so light that we cannot measure the gravitational field. Or we have some object that is so heavy that we can measure the gravitational field, but then it doesn’t have quantum properties. Okay, so that’s the actual problem.
Jeff Andersen

Have Smartphones Destroyed a Generation? - The Atlantic - 13 views

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    ne day last summer, around noon, I called Athena, a 13-year-old who lives in Houston, Texas. She answered her phone-she's had an iPhone since she was 11-sounding as if she'd just woken up. We chatted about her favorite songs and TV shows, and I asked her what she likes to do with her friends. "We go to the mall," she said. "Do your parents drop you off?," I asked, recalling my own middle-school days, in the 1980s, when I'd enjoy a few parent-free hours shopping with my friends. "No-I go with my family," she replied. "We'll go with my mom and brothers and walk a little behind them. I just have to tell my mom where we're going. I have to check in every hour or every 30 minutes."
Martin Burrett

A Social Media Journey - 19 views

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    Back in 2011 I was working in the Middle East when a colleague introduced me to Twitter as a tool for professional development and connecting with fellow educators. Prior to this I was aware of Facebook and Twitter, however I considered both as being about nothing more than apps for sharing cute cat videos and status updates. I had a Twitter account for years, however hadn't thought about how it might be a powerful tool to help me become a better educator and provide me with a wealth of new ideas and resources which I previously had not had access to. I had barely used the account beyond the initial setup...
Shannon Smith

Need resources to assist in creating a 21st century learner training/ professional deve... - 133 views

Thank you! This is great information! James McKee wrote: > Shannon, > > I was recently referred to this video of Michael Wesch who teaches cultural anthropology at Kansas State University. He ...

professional development 21st century learners technology

Jeannie Anderson

The Air Force Painting Atheists Found Repugnant - 54 views

  • They allegedly received a complaint from someone at the base who said the picture made “me feel terribly uncomfortable, disheartened and disappointed.”
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    Diigo in Education is not an appropriate forum for promoting political views. Perhaps there's another Diigo group that's a better fit for this link/comment.
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    I agree with Martha, this is not a forum for promoting political views. I find your comments and links especially distasteful, full of hate and prejudice. Please find another way to look at and interact with the world.
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    Sorry Martha. Thanks for bringing this to my attention. I just realized that comment was public; it was meant to be private and an expression of frustration (and sarcasm) over all the issues of privacy and freedom of speech discussed in the news this week. Just trying to make sense it all. I haven't done much on Diigo outside of bookmarking, so I'm still trying to understand how this part of the site works. Webster, I'm sorry I offended you. That's not my intent. If you find my links distasteful, you don't need to review them. I'm simply bookmarking troublesome subjects I see to further investigate whether or not I should be concerned, what I should believe, and if I need to take any form of action within my own community. I have a right to be concerned: every time I turn on the news, another issue of privacy and freedom of speech is being trampled on by our government. Bookmarking sources and highlighting ideas that stand out in an effort to further investigate the validity of the sources and see what other sources say to counter is not hateful and full of prejudice: it's simply a process by which one can attempt to find hope to better understand a topic. That's really all that's going on here. Hope I've clarified my intent and appeased you both by removing my comment. Again, thanks Martha for your kind reminder.
Roland Gesthuizen

Bloggers Beware: You CAN Get Sued For Using Pics on Your Blog - My Story - Bl... - 180 views

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    "You are violating copyright if you have not gotten express PERMISSION from the copyright holder OR are using pics that are public domain, creative commons, etc. I didn't know better and I had to learn the hard way. So I want to let you all know now so that you don't have to be a cautionary tale as well."
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    Thank you so much for sharing this! As an educator, I always believed that if I posted a picture on the district site and just gave credit to where I got the picture I was clear with copyright. Now I know better. Perhaps you've underwent this experience to help so many others like me to better understand copyright...
tanya miller

Teacher Console | Diigo - 185 views

shared by tanya miller on 12 Jul 10 - Cached
    • Cheri Krockover
       
      One class with 2 groups
    • Ben Nason
       
      You are given one class. From there you can add as many groups as you want
    • William Giancoli
       
      Is anyone else experiencing difficulty adding students and groups?
    • Steve Weller
       
      Does anyone know why diigo is listed as a proxi server?
    • mike
       
      anyone not able to add students with existing email accounts?
    • Carol Lautenbach
       
      My Assistant tried to add a batch of students and nothing showed up in the end. Hmmmm....
    • Susan Gorman
       
      testing
    • Tony Loughland
       
      how do you move bookmarks around between groups?
    • Adrienne Christiansen
       
      I'd like to know how to move bookmarks from my individual Diigo to my course diigo. Help?
    • hieu hieu
       
      hieu
    • Gregg Fletcher
       
      Can anyone tell me why these sticky notes are on my library screen.  I did not realize this screen was open to the world.
    • bryan pasquale
       
      they were marked as public
    • Sheila Grimm
       
      Any advice for a brand new user? I am trying to create a group for students who need extra help studying for those high stakes tests.
    • Elizabeth Achor
       
      I'm lovin' it!
  • Group Name
    • tamacek
       
      use this one
    • Diane Shryock
       
    • Deb Little
       
      I am confused.
    • tanya miller
       
      Can students create groups within the class group that I set up?
  • Options
    • mesturas sanchez canton
       
      Aanimádevos a utilizar os marcadores sociais. é unha boa forma de organizar as nosas preferencias na rede
    • Jennifer Strickland
       
      i am trying this out
    • Robert Guihan
       
      I have found this useful. I am mostly a fly on the wall but many members have shared excellent websites and articles.
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    • Tara Park
       
      This is a test
    • anonymous
       
      this is a test 2
    • Eleanor Cerny
       
      tesing.....
    • Kristine Rebstock
       
      Test
    • hieu hieu
       
      test
    • teacherlisa
       
      text
    • Dinah Hunt
       
      practice test for class demo
    • Sandy M
       
      test sticky
    • Noe Granado
       
      I received the test...
    • Noah Ralston
       
      Did I pass or fail the test?
    • José Serruto
       
      Very interesting
  • As an educator, your account has been given special privileges to create / manage student accounts and class groups (student email addresses not required.)
  • StudentTestGroup (4 members)
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kathy dounelis

Highly recommend Diigo Educator Account - Classroom 2.0 - 2 views

  • I tried out Diigo educator and was REALLY impressed. This let me very quickly (and with no email addresses needed) set up accounts for 30 students. I then created a group for all 3 classes to use and added all the students to the group. In this case, since I only have one more day with the kids and am not sure if they'll be using Diigo after this, I just used the 30 accounts for multiple classes, but if this were for my actual students, I would have created an account for each student. Anyway, once all the students were added to the group, I just instructed them to make sure to share every bookmark for this project with the group. All of the students will then be able to view all of the bookmarks. Again, we couldn't install even the diigolet, but saving right from Diigo worked fine for our purposes. They used the same technique of tagging with last name, class hour, and other appropriate tags. I taught both of these methods in a 45 minute class period and the actual explanation of the bookmarking technique took only 7-10 min. of each class period. The kids (7th graders) picked up on it EXTREMELY fast.
  • for long term use and for individual projects I strongly recommend using Diigo educator, especially since I use Diigo so heavily in my personal and professional web research.
  • I highly recommend Diigo Educator to any teacher!
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  • then created a group for all 3 classes to use and added all the students to the group. In this case, since I only have
david ellis

Netvibes (124) - 1 views

shared by david ellis on 22 Apr 09 - Cached
  • Programming -OK, on the programming thing, here are my thoughts.In our curriculum our objective is not as much a specific LANGUAGE. One year I may use HTML with Javascript, this past year I used LSL — what I want kids to know that when they encounter programming and coding that there are certain conventions. Some are case sensitive, some are not. How do you find out how to add to what you know about programming? Do you know where to go to find prewritten code? Can you hack it to make it work to do what you want it to do?We spend about a week – two weeks but I require they know how to handcode hyperlinks and images – they are just too important.But to take 12 weeks or 6 weeks to learn a whole language – yes maybe some value – but to me the value is HOW is the language constructed or built. What are the conventions and how do I educate myself if I am interested in pursuing. What comes out of this time is kids who say either “I never want to do that” or “this is really cool, I love coding.”They are doing very simplistic work (although the LSL object languages were pretty advanced) but since we don’t have a full course nor time in our curriculum, I do see this as an essential part of what I teach.I’m not teaching it for the language sake but for the sake of understanding the whole body of how languages work – we talk about the different languages and what they are used for as part of Intro to Computer science and have an immersive experience.To me, this is somewhat a comprimise between leaving it out entirely or forcing everyone to take 12 weeks of it. I just don’t know where 12 weeks would go in the curriculum.
Keith Rowley

Meditation Research FAQ - 1 views

  • What I can say is that the MBSR program has been around for 30 years and there have been hundreds of clinical trials indicating that it is effective for reducing stress and many (though not all) clinical symptoms.
  • All the participants in our study went through the Mindfulness Based Stress Reduction course (MBSR) developed at the Center for Mindfulness
  • I can't stop thinking/my mind won't calm down/"Unusual phenomena" bother me when I meditate/I can't meditate—what should I do? OR When I meditate, I experience "unusual phenomena". What is going on? Is this an advanced state?
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  • The Buddha compared the mind to the strings of a lute (a guitar-like instrument): the lute can not be played if the strings are too tight or too loose. Similarly when attention is either too tight or too loose, you can't properly meditate. When attention is too loose, the mind wanders and you get lost in thought. Try narrowing your focus in different ways (e.g. just inhales instead of the whole breath, focus on a smaller area around your nose). Some people do a few minutes of yoga or loving kindness (metta) practice at the start of their meditation period to focus the mind, before switching to breath awareness meditation. Some people find focusing on sounds easier than focusing on breathing.
  • The goal is not to try to change anything, but to be aware of the desire to change it and then see if we can just relax and be ok with it even if it doesn't change. Are we trying to quiet the storm, or are we trying to find peace within the storm?
Brian Peoples

Book In An Hour: A Classroom Strategy « Not All Who Wonder Are Lost - 8 views

  • « Thoughts on Collaboration and Developing Higher Level Questioning Skills Twittering with a Purpose: A Starter (or Restarter) Guide » Book In An Hour: A Classroom Strategy April 30, 2009 by Ellsbeth This past winter I had the opportunity to attend a workshop with Organization of American Historians distinguished lecturer, Dr. Lendol Calder.   This is the first place where I came across the strategy called Book In An Hour.  Since then I’ve tried to find additional internet resources on this strategy, but they appear to be few and far between.  I know other people would find it useful, so I decided to write up the strategy and post it here on the blog.  If you know of additional resources or ways to adapt this strategy, I would enjoy hearing from you. What: The Book In An Hour strategy is a jigsaw activity for chapter books.  While the strategy can take more than an hour depending on the reading and presentation method you choose. Why: While many teachers view this activity as a time saver, I view it as a way to expose students to more literary and historical materials than I might have been able to do otherwise.  There are many books that I would love my students to read, but I know that being able to do so is not always my reality.  This st
  • y gives me an avenue to expose them to additional literature and other important historical works without taking much time away from the other aspects of my courses.  It also provides opportunities for differentiation.  This strategy can be adapted to introduce a book that students will be reading in-depth.  Instead of j
  • ng to divide students up into groups or jigsaw with individual students.  If you are using groups, I recommend making them heterogeneous or creating them in a way that subtly facilitates differentiation.  I also encourage you to give each student in the grou
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    suggested on #sschat
Dean Whaley

iowaonlinelearning - Teaching Standards - 27 views

  • Creates a learning community that encourages collaboration and interaction, including student-teacher, student-student, and student-content (SREB D.2, Varvel VII.B, ITS 6.a)
    • Dean Whaley
       
      What I see in these is that many of these we should be doing already.
  • AEA PD Online Website HomeAbout UsFAQsCurrent InitiativesResearch & ResourcesInstructor ToolboxK-12 Online LearningProject OLLIE Current Projects • Transition Process• Marketing Plan• Job Descriptions guest · Join · Help · Sign In · Teaching StandardsProtected page Details and Tags Print Download PDF Backlinks Source Delete Rename Redirect Permissions Lock discussion (1) history notify me Details last edit by eabbey Mar 11, 2011 6:56 am - 26 revisions Tags none Iowa Online Teaching Standards Composed from Iowa Teaching Standards and Other Resources 1. Demonstrates ability to enhance academic performance and support for the agency's student achievement goals (ITS 1) • Knows and aligns instruction to the achievement goals of the local agency and the state, such as with the Iowa Core (Varvel I.A, ITS 1.f, ITS 3.a) • Continuously uses data to evaluate the accuracy and effectiveness of instructional strategies (SREB J.7, ITS 1.c) • Utilizes a course evaluation and student feedback data to improve the course (Varvel VI.F) • Provides and communicates evidence of learning and course data to students and colleagues (SREB J.6, ITS 1.a) 2. Demonstrates competence in content knowledge (including technological knowledge) appropriate to the instructional position (ITS 2) • Meets the professional teaching standards established by a state-licensing agency, or has the academic credentials in the field in which he or she is teaching (SREB A.1, Varvel II.A) • Knows the content of the subject to be taught and understands how to teach the content to students (SREB A.3, Varvel II.A, ITS 2.a) • Is knowledgeable and has the ability to use computer programs required in online education to improve learning and teaching, including course management software (CMS) and synchronous/asynchronous communication t
anonymous

Anant Agarwal Discusses Free Online Courses Offered by a Harvard/M.I.T. Partnership. - ... - 4 views

  • Granted, there are no papers to grade, and assignments aren’t free-form, but how does one professor handle so many students? We had four teaching assistants, and my initial plan was that they would spend a lot of time on the discussion forum, answering questions. One night in the early days, I was on the forum at 2 a.m. when I saw a student ask a question, and I was typing my answer when I discovered that another student had typed an answer before I could. It was in the right direction, but not quite there, so I thought I could modify it, but then some other student jumped in with the right answer. It was fascinating to see how quickly students were helping each other. All we had to do was go in and say that it was a good answer. I actually instructed the T.A.’s not to answer so quickly, to let students work for an hour or two, and by and large they find the answers.
  • Most students who register for MOOCs don’t complete the course. Of the 154,763 who registered for “Circuits and Electronics,” fewer than half even got as far as looking at the first problem set, and only 7,157 passed the course. What do you make of that?
  • EdX operates under an honor code, with no way to verify that the student who registered is the one doing the work. Is that likely to change? It’s quite possible employers would be happy with an honor certificate. We’re looking at various methods of proctoring. We have talked about people going to centers to take exams. There are also companies that use the cameras inside a laptop or iPad to watch you and everything else that’s happening in the room while you take an exam, and that may be more scalable.
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  • And because we will have all this data on how students actually use our materials, there are opportunities for research on learning. We can watch how many attempts students made before they got an exercise right, and if they got it wrong, what they used to try to find a solution. Did they go to the textbook, go back and watch the video, go to the forum and post a question?
Marc Patton

Utah Charter School & Online High School | Open High School of Utah - 0 views

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    I have been to a different school nearly every single year of my life trying to find the "perfect" school. OHSU is my perfect school. This is my second year at OHSU and the teachers here are amazing! They call me weekly just to check up on me and offer to tutor me whenever I am struggling. The courses and curriculum are great. It is easy to navigate and understand the material and if I don't understand something, my teachers are only a Skype call away! I also love OHSU because it is very flexible. It makes school a lot easier to do when I can finish my schoolwork on my own time.
    - Michael D.
anonymous

Week 2: The Quality of Massive Open Online Courses by Stephen Downes | MOOC Quality Pro... - 38 views

    • anonymous
       
      This is a big point
  • People perceive what they are looking for, and often only what they are looking for, and our well-intentioned attempts to guide their cognition could just as easily lead to participants missing the information most important to them.
  • Similarly, we did not attempt to define how participants should interact with each other, but instead focused on supporting an environment that would be responsive to whatever means they chose for themselves.
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  • they would instead reflect the perspective or world view of some organizer telling them what their objectives should be, what they should learn, what counts as success.
  • Participants, for example, could experience the course as a series of lectures, and some did, but many skipped the experience. Others treated the course as project-based, creating artifacts and tangible products. Others viewed the course as conversation and community, focused on interaction with other participants.
  • We were, for example, criticized for offering lectures, because it did not follow good constructivist pedagogy; our response was that connectivism is not constructivism,
  • and that it was up to those who preferred to learn through constructivist methods to do so, but not appropriate that they would require that all other participants learn in the same way.
    • anonymous
       
      How true this is!
  • Openness also applies to the content of the course, and here the idea is that we want to encourage participants not only to share content they received from the course with each other (and outside the course), but also to bring into the course content they obtained from elsewhere.
  • Learning requires perception, not only of the thing, but also of its opposite.
  • In a connectivist course, for example, lurkers are seen as playing as equally important and valuable role as active participants
Martin Burrett

UKEdMag: Mobile phones in lessons? by @MsGlynn2014 - 11 views

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    I used to be a massive advocate of using mobile phones in lessons; the ways they could be used are just endless. I had students use them to research topics; find the answers to a question we didn't know, even as voting devices. I used them just rarely enough that students didn't take it as a given and rarely tried to use their phones for uses other than I intended. I even use them to avoid printing off sheet after sheet of homework, instead having students take a picture on their phone (with the added bonus that they can't lose the sheet).
C CC

Anti-minotaur: The myth of student progress by @mistershankly75 - UKEdChat.com - 12 views

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    This term I have mostly been getting myself in a pickle about measuring student progress. I want to do it with integrity, reliability and validity but I wonder whether all three of these are possible. When considering student progress, I have been i…
taconi12

fractions idea bank - 141 views

  • Fractions are as easy as pigs
  • One way to help students to understand the basics of adding and subtracting fractions (denominators must be the same; add/subtract the numerators; DO NOT add/subtract the denominators) is to teach the students what the parts of a fraction really are: numbers and names. This also helps combat the frequently-taught but incorrect idea that a fraction and a ratio are the same. A ratio may look like a fraction, but it is not a fraction.
  • FRACTIONS ARE AS EASY AS PIGS What is 2 pigs plus 3 pigs? 5 pigs (Write as a fraction: 2/pigs + 3/pigs = 5/pigs) Notice, we do not end up saying the answer is 5 horses.
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  • The top of a fraction is a NUMBER: 1, 2, 3, etc. The bottom of a fraction is a NAME: half, third, fourth, etc. We can add and subtract numbers. We cannot add and subtract names.
  • Fraction Blackjack
  • Ask each student their "denominator." Don't give it away. Ask each one until one finally says their name. Continue through the room... Their name is their denominator. When you practice adding and subtracting fractions with like denominators, actually say "pigs" instead the fraction name. Then say, "Instead of pigs, we are using ..." and let them answer with the appropriate denominator. It is fun when doing subtraction to say, "If we have 5 pigs and eat 3 pigs, besides a stomachache, what is left?"
  • The transition to unlike denominators is automatic. If the names are not the same, you can't add the fractions. 2/pigs + 3 horses is still 2/pigs and 3/horses (unless we discover a "common denominator" -- a common name: farm animals). Once the students know they must have a common name (denominator) in order to add or subtract, they have a reason to learn about common denominators. By the way, I always begin common denominators without worrying about the Least Common Denominator (LCD). Once they can find a common denominator (multiply the denominators), add or subtract, and then reduce, they can be led to finding "easier" denominators to work with. Students who have too much difficulty with LCD can still get the correct answer; they just have more reducing to do. Those who can find a lower common denominator have less reducing. This is a very basic rendering of "Fractions are as easy as pigs." AWP, 10/12/00 on teachers.net math board
  • Denominate means: to name Political parties nominate (name) their candidates. Religious denominations are identified by their names. The denominations of money are the names of the coins and bills.
  • One game that my students enjoy the challenge of is Blackjack 1. You need a set of fraction cards per student (or you can make them from index cards.) The same rules as Blackjack apply. Instead of trying to get to 21, they want to try and get close to 1 without going over. With this game they practice addition and comparing -- it's great. You can also make it more challenging or bring in mixed numbers with Blackjack 2 or Blackjack 3. (Blackjack 2 means to try to get as close to 2 as possible without going over.) I am not sure where to buy fraction cards. I have one set that I received when I took over a classroom. However, I have always had the students create their own sets and we used them for several games. I gave each students a set of index cards (3 1/2 X 5) and they wrote the fractions in pencil so they couldn't be seen through the cards. These are the fractions we included: all fractions with a denominator of 2, 3, 4, 5, 6, 8, 10, and 12. (To challenge the students you may want to use the 7, 9, and 11 denominators as well.) I also had the students include 2 0's such as 0/3 and 0/4 and two 1's such as 3/3 and 4/4. Each game required two sets of cards, so I had the students write their initials in the corner of their set so they would get a complete set back after the game.
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  • Fraction War Fraction War with the fraction cards: It is just like the card game of War, but with the fraction cards instead. This game helps students to compare fractions and encourages them to use number sense in comparison before using the algorithm of making equivalent fractions. Memory Memory with the fraction cards: It is just like the traditional "Memory" game, but any equivalent fractions are considered a match so 1/2 would be a match with 2/4. This game helps them to identify equivalent fractions. You can also play this game with fraction to decimal equivalence by making a set of decimal cards too. Fraction/Decimal Bingo Fraction/Decimal Bingo: The students have game boards with decimals on them. You call out fractions and if they have the decimal equivalence they can mark it on the board. Kimberly, 5/31 and 6/1 on teachers.net math board
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