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Martin Burrett

Number Sense by @digicoled - 24 views

ukedchat.com/...number-sense

maths math number sense adding

shared by Martin Burrett on 28 Feb 17 - No Cached
  • Martin Burrett on 28 Feb 17
     
    3 activities to support developing number sense with children. All can be used across KS1 or KS2 with differentiation and difficulty all adaptable by the teacher.
Misha Miller

Using Groups Effectively: 10 Principles » Edurati Review - 50 views

eduratireview.com/...oups-effectively-10-principles

collaboration groups pedagogy

shared by Misha Miller on 20 May 13 - No Cached
  • Misha Miller on 20 May 13
     
    "Conversation is key . Sawyer succinctly explains this principle: "Conversation leads to flow, and flow leads to creativity." When having students work in groups, consider what will spark rich conversation. The original researcher on flow, Mihaly Csikszentmihalyi, found that rich conversation precedes and ignites flow more than any other activity.1 Tasks that require (or force) interaction lead to richer collaborative conceptualization. Set a clear but open-ended goal . Groups produce the richest ideas when they have a goal that will focus their interaction but also has fluid enough boundaries to allow for creativity. This is a challenge we often overlook. As teachers, we often have an idea of what a group's final product should look like (or sound like, or…). If we put students into groups to produce a predetermined outcome, we prevent creative thinking from finding an entry point. Try not announcing time limits. As teachers we often use a time limit as a "motivator" that we hope will keep group work focused. In reality, this may be a major detractor from quality group work. Deadlines, according to Sawyer, tend to impede flow and produce lower quality results. Groups produce their best work in low-pressure situations. Without a need to "keep one eye on the clock," the group's focus can be fully given to the task. Do not appoint a group "leader." In research studies, supervisors, or group leaders, tend to subvert flow unless they participate as an equal, listening and allowing the group's thoughts and decisions to guide the interaction. Keep it small. Groups with the minimum number of members that are needed to accomplish a task are more efficient and effective. Consider weaving together individual and group work. For additive tasks-tasks in whicha group is expectedtoproduce a list, adding one idea to another-research suggests that better results develop
taconi12

fractions idea bank - 141 views

www.mathcats.com/...ideabankfractions.html

math fractions reference lessonplans games

shared by taconi12 on 10 Mar 12 - Cached
  • 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.
  • ...10 more annotations...
  • 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.
  • games
  • I remembered some
  • other
  • 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
Stan Golanka

Reading and the Web - Texts Without Context - NYTimes.com - 49 views

www.nytimes.com/...21mash.html

shared by Stan Golanka on 08 Feb 11 - Cached
  • It’s also a question, as Mr. Lanier, 49, astutely points out in his new book, “You Are Not a Gadget,” of how online collectivism, social networking and popular software designs are changing the way people think and process information, a question of what becomes of originality and imagination in a world that prizes “metaness” and regards the mash-up as “more important than the sources who were mashed.”
    • Stan Golanka
      Stan Golanka on 08 Feb 11
       
      Core discussion topic? From this, I see a few discussion issues: 1. Do we prize "mash-ups" more than original work? Who is "we" in this? 2. If the answer to #1 is "yes," then the next question is: is this good or bad? 3. Finally, if the answer is "bad" to #2, what place do "mash-ups" have, and how do we help our students see the value in original work?
  • Web 2.0 is creating a “digital forest of mediocrity” and substituting ill-informed speculation for genuine expertise;
    • Stan Golanka
      Stan Golanka on 08 Feb 11
       
      How do teachers help students rise above this "digital forest of mediocrity"?
  • Mr. Johnson added that the book’s migration to the digital realm will turn the solitary act of reading — “a direct exchange between author and reader” — into something far more social and suggested that as online chatter about books grows, “the unity of the book will disperse into a multitude of pages and paragraphs vying for Google’s attention.”
    • Stan Golanka
      Stan Golanka on 08 Feb 11
       
      If Johnson's predictions are true, is this necessarily bad? How much of this concern is "nostalgia"? What would be lost from an academic p.o.v, and what migh be gained?
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  • Instead of reading an entire news article, watching an entire television show or listening to an entire speech, growing numbers of people are happy to jump to the summary, the video clip, the sound bite — never mind if context and nuance are lost in the process; never mind if it’s our emotions, more than our sense of reason, that are engaged; never mind if statements haven’t been properly vetted and sourced.
    • Stan Golanka
      Stan Golanka on 08 Feb 11
       
      Should teachers "fight" this, or embrace it? Can summaries/sound bites ever be appropriate for academic discussions?
  • And online research enables scholars to power-search for nuggets of information that might support their theses, saving them the time of wading through stacks of material that might prove marginal but that might have also prompted them to reconsider or refine their original thinking.
  • Digital insiders like Mr. Lanier and Paulina Borsook, the author of the book “Cyberselfish,” have noted the easily distracted, adolescent quality of much of cyberculture. Ms. Borsook describes tech-heads as having “an angry adolescent view of all authority as the Pig Parent,” writing that even older digerati want to think of themselves as “having an Inner Bike Messenger.”
    • Stan Golanka
      Stan Golanka on 08 Feb 11
       
      Can teachers moderate this attitude? Does our (adults) use/non-use of technology help breed this attitude?
  • authors “will increasingly tailor their work to a milieu that the writer Caleb Crain describes as ‘groupiness,’ where people read mainly ‘for the sake of a feeling of belonging’ rather than for personal enlightenment or amusement. As social concerns override literary ones, writers seem fated to eschew virtuosity and experimentation in favor of a bland but immediately accessible style.
    • Stan Golanka
      Stan Golanka on 08 Feb 11
       
      Does this ring true to educators? Are social concerns and literary conerns opposites? How does web publishing affect "literary" publishing, as opposed to "non-literary" publishing?
  • However impossible it is to think of “Jon & Kate Plus Eight” or “Jersey Shore” as art, reality shows have taken over wide swaths of television,
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