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Bonnie Breeden

Solvr - 96 views

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    Solvr is a free to use website that lets us post a problem and then share that URL with our friends whom we want to ask the solution from. This can be helpful when we want to reach a solution as group. The approach is that of an online forum but dedicated to problem solving.
Kathy Favazza

WebMath - Solve Your Math Problem - 3 views

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    WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by-step solution. Covers arithmetic, algebra, geometry, calculus and statistics.
Roland Gesthuizen

Incompetent Research Skills Curb Users' Problem Solving (Jakob Nielsen's Alertbox) - 95 views

  • In general, we almost never see people use advanced search. And when they do, they typically use it incorrectly — partly because they use it so rarely that they never really learn how it works.
  • or many problems, the actual answer is right there. But the concept that you might have to sometimes go beyond search listings is getting lost
  • any problems, the actual answer is right there. But the concept that you might have to sometimes go beyond search listings is getting lost
  • ...1 more annotation...
  • Sadly, when one approach is so easy (and works much of the time), users never develop the research skills needed to try or even consider other approaches.
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    "Today, many users are so reliant on search that it's undermining their problem-solving abilities. Ironically, the better search gets, the more dangerous it gets as people increasingly assume that whatever the search engine coughs up must be the answer."
anonymous

Students Use Graphic Organizers to Improve Mathematical Problem-Solving Communications - 54 views

  • Our four corners and a diamond graphic organizer has five areas: What do you need to find? What do you already know? Brainstorm possible ways to solve this problem. Try your ways here. What things do you need to include in your response? What mathematics did you learn by working this problem?
    • anonymous
       
      Questions to flesh out the Essential Question.  This would be a great way to implement student blogs in a math class!
  • teachers reported dramatic improvements in students' mathematics scores on open-response items after implementing the four corners and a diamond graphic organizer.
  • ...1 more annotation...
  • The teachers saw that their lower-ability students, who normally would not have attempted problems, had now written partial solutions.
Rachelle Garton

nrich.maths.org :: Mathematics Enrichment :: October 2010 Front Page - 126 views

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    A great site for mathematical problems. Interactive resources available as well. Teacher notes as well for solving particular problems.
Deborah Baillesderr

Math Shake on the App Store on iTunes - 58 views

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    "We all know that students find it far more challenging to answer word problems than simple equations. In Math Shake, learners practise the vital skill of solving word problems in a fun, focused way. Learners engage their critical thinking skills as they use the keywords to change word problems into equations and use interactive learning tools to visualise, image and work out their answer. Not only do learners have a range of learning tools at their fingertips, they can share their thinking by recording their working.Teachers and parents can also use Math Shake to teach learners with the interactive tools; including tens frames, number matrixes, fraction parts, number lines and counters. "
Jay Swan

Problem-based Learning in Science - 43 views

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    From site: "The best way for students to learn science is to experience problems that challenge science, and the thought, habits of mind and actions associated with trying to solve them. This implies opportunities for authentic, inquiry-based learning. Problem-based learning (PBL) is a powerful vehicle for this, in which a real-world problem becomes a context for students to investigate, in depth, what they need to know and want to know (Checkly, 1997). It is a robust, constructivist process, shaped and directed primarily by the student, with the instructor as metacognitive coach."
Judy Robison

Shout! Explore. Connect. Act. - 64 views

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    Shout, will help teachers integrate project-based learning to develop students' problem-solving skills by having them team up with their peers around the globe to solve real-world challenges.
Robert Alford

Home - public - Global Challenge Award - 5 views

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    Global Challenge Award's mission is "to provide high school students worldwide, the tools and confidence to solve global problems together" We do this by providing students with "authentic project-based learning experience" working in small global teams to solve climate change issues.
Nigel Coutts

Encouraging Persistence - The Learner's Way - 5 views

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    "Nothing in this world can take the place of persistence. Talent will not; nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not; the world is full of educated derelicts. Persistence and determination alone are omnipotent. The slogan Press On! has solved and always will solve the problems of the human race." ― Calvin Coolidge Growing up, I had a copy of this quote on my wall. It is one of those things that stuck with me over the years. For a long time I might not have truly appreciated its wisdom. Now as a teacher in times of volatility, uncertainty, complexity and ambiguity, its significance seems to have grown. When we can instantaneous consumers of the all of the worlds information, as we access anything and everything at the speed of light, how do we learn the value of persistence?
alexis alexander

What's the "problem" with MOOCs? « EdTechDev - 18 views

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    "What's the "problem" with MOOCs? In case the quotes didn't clue you in, this post doesn't argue against massive open online courses (MOOCs) such as the ones offered by Udacity, Coursera, and edX. I think they are very worthy ventures and will serve to progress our system of higher education. I do however agree with some criticisms of these courses, and that there is room for much more progress. I propose an alternative model for such massive open online learning experiences, or MOOLEs, that focuses on solving "problems," but first, here's a sampling of some of the criticisms of MOOCs."
Sigrid Murphy

Five U.S. innovations that helped Finland's schools improve but that American reformers now ignore - 64 views

    • anonymous
       
      Interesting Top Five
    • anonymous
       
      Answer explanation is almost as important as mathematic problem solving.  If we really want to know if a student understands ANY concept, we need to ask him/her to write their explanation.  Sometimes the understanding comes from the thinking required to do the writing - writing to make it make sense!
    • anonymous
       
      Why don't we consider relating almost every lesson to everyday life?  Seems like an obvious thing to do to me!
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    • anonymous
       
      Wow!  I think the concept of doing less of something in order to make time for experimentation is a fabulous idea!  Do you mean there are different aspects of student assessment and testing beyond a bubble sheet?  :)
  • Most of them have studied psychology, teaching methods, curriculum theories, assessment models, and classroom management researched and designed in the United States
    • anonymous
       
      Finland's successful practices are something they learned here in the U.S.  So, why aren't our teachers here in the U.S. employing those same practices successfully?
  • Professional development and school improvement courses and programs often include visitors from the U.S. universities to teach and work with Finnish teachers and leaders.
  • in an ideal classroom, pupils speak more than the teacher
    • anonymous
       
      Hooray!
  • the entire Finnish school system looks like John Dewey’s laboratory school in the U.S.
  • cooperative learning has become a pedagogical approach that is widely practiced throughout Finnish education system
  • Finnish teachers believe that over 90 percent of students can learn successfully in their own classrooms if given the opportunity to evolve in a holistic manner.
  • After abolishing all streaming and tracking of students in the mid-1980s, both education policies and school practices adopted the principle that all children have different kinds of intelligences and that schools must find ways how to cultivate these different individual aspects in balanced ways.
  • it is ironic that many of these methods were developed at U.S. universities and are yet far more popular in Finland than in the United States. These include portfolio assessment, performance assessment, self-assessment and self-reflection, and assessment for learning methods.
    • anonymous
       
      Alternative assessments!  Performance, portfolio, self-assessment, self-reflection, and assessment of learning methods...
  • Peer coaching—that is, a confidential process through which teachers work together to reflect on current practices, expand, improve, and learn new skills, exchange ideas, conduct classroom research and solve problems together in school
    • anonymous
       
      Working together and reflecting on current practices - Reflection helps to expand, improve, and provides an opportunity to learn and exchange ideas to solve problems
  • the work of the school in the United States is so much steered by bureaucracies, test-based accountability and competition that schools are simply doing what they must do
    • anonymous
       
      Sadness Abounds!  We are teaching folks what works best.  Then, they enter the classroom and get wrapped up in bureaucracies and test-based accountability to the point that teachers are just going through the motions instead of facilitating quality learning
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    Pasi Sahlberg Blog Finnish education reform Originally published in Washington Post, 24 July 2014 An intriguing question whether innovation in education can be measured has an answer now. The Organization of Economic Cooperation and Development in its recent report "Measuring Innovation in Education: A New Perspective, Educational Research and Innovation" measures Innovation in Education in 22 countries and 6 jurisdictions, among them the U.S.
Glenn Hervieux

KSI as a Leading Model for Developing Critical Thinking and Problem Solving Skills - Unleashing Conscious Entrepreneurs - 43 views

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    "The Committee for Economic Development, a Washington DC-based business organization, recently released a survey on "Which skills are most important on the job and which skills are in short supply?" "
anonymous

Gaming Gains Respect | District Administration Magazine - 17 views

  • If what most observers say is true, we’re at the beginning of a serious shift in the way we think about and employ video games and simulations in learning situations. Students will learn not just the content of the traditional curriculum, but, more importantly, the skills and learning dispositions they need to create, to solve problems, and to collaborate throughout their lives.
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    " If what most observers say is true, we're at the beginning of a serious shift in the way we think about and employ video games and simulations in learning situations. Students will learn not just the content of the traditional curriculum, but, more importantly, the skills and learning dispositions they need to create, to solve problems, and to collaborate throughout their lives."
Roland O'Daniel

Reading is a Problem-Solving Process. Why Not Try the Thumb Method? « Co-Creating Solutions: A Blog by CTL - 60 views

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    Reading is a Problem-Solving Process. Why Not Try the Thumb Method? New blog post by Denise Finley about supporting students while they learn to read scientifically!
meghankelly492

Project MUSE - Learning from Masters of Music Creativity: Shaping Compositional Experiences in Music Education - 7 views

  • n contrast to others who are not as prone to divulge their feelings about their creative process
  • "Variation in style may have historical explanation but [End Page 94] no philosophical justification, for philosophy cannot discriminate between style and style."3
  • The testimonies of the composers concerned bear on questions about (a) the role of the conscious and the unconscious in music creativity, (b) how the compositional process gets started, and (c) how the compositional process moves forward
  • ...39 more annotations...
  • It is hoped that the themes that emerge by setting twentieth and twenty-first century professional composers' accounts of certain compositional experiences or phases of their creative processes against one another will provide a philosophical framework for teaching composition.
  • Furthermore, the knowledge of how professional composers compose offers the potential of finding the missing link in music education; that is, the writing of music by students within the school curriculum
  • Such involvement may deepen their understanding of musical relationships and how one articulates feelings through sounds beyond rudimentary improvisational and creative activities currently available
  • raw philosophical implications for music composition in schools from recognized composers' voices about their individual composing realities
  • It is hoped that the direct access to these composers' thoughts about the subjective experience of composing Western art music in the second half of the twentieth and the beginning of the twenty-first century may also promote the image of a fragmented culture whose ghettoization in music education is a serious impediment to the development of a comprehensive aesthetic education.
  • n other words, there is a striking unanimity among composers that the role of the unconscious is vital in order to start and/or to complete a work to their own satisfaction.
  • I need . . . to become involved, to come into a state where I do something without knowing why I do i
  • This is a complex problem and difficult to explain: all that one can say is that the unconscious plays an incalculable rol
  • Nonetheless, these self-observations about the complementary roles of the unconscious and conscious aspects of musical creativity do not cover the wide range of claims in psychological research on creativity
  • I strongly believe that, if we cannot explain this process, then we must acknowledge it as a mystery.25 Mysteries are not solved by encouraging us not to declare them to be mysteries
  • When Ligeti was commissioned to write a companion piece for Brahms' Horn Trio, he declared, "When the sound of an instrument or a group of instruments or the human voice finds an echo in me, in the musical idea within me, then I can sit down and compose. [O]therwise I canno
  • Extra-musical images may also provide the composer with ideas and material and contribute to musical creativity.
  • ome composers need to have something for it to react against.38 Xenakis, however, asserted that "all truly creative people escape this foolish side of work, the exaltation of sentiments. They are to be discarded like the fat surrounding meat before it is cooked."
  • as, as these examples show, dreams can also solve certain problems of the creative process.
  • In other words, to compose does not mean to merely carry out an initial idea. The composer reserves the right to change his or her mind after the conception of an idea.
  • n sum, self-imposed restrictions or "boundary conditions"55 seem to provide composers with a kind of pretext to choose from an otherwise chaotic multitude of compositional possibilities that, however, gradually disappears and gets absorbed into the process of composition which is characterized by the composers' aesthetic perceptions and choices.
  • Therefore, it is not surprising that influences from the musical world in which the composer lives play an important role in the creative process
  • Thereby the past is seen as being comprised by a static system of rules and techniques that needs to be innovated and emancipated during the composers' search for their own musical identity.
  • I strongly suggest that we play down basics like who influenced whom, and instead study the way the influence is transformed; in other words: how the artist made it his own.
  • Nothing I found was based on the "masterpiece," on the closed cycle, on passive contemplation or narrowly aesthetic pleasure.61
  • Furthermore, for some composers the musical influence can emerge from the development of computer technology.
  • In sum, the compositional process proceeds in a kind of personal and social tension. In many cases, composers are faced with the tensive conflict between staying with tradition and breaking new ground at each step in the process. Thus, one might conclude that the creative process springs from a systematic viewpoint determined by a number of choices in which certain beliefs, ideas, and influences—by no means isolated from the rest of the composer's life—play a dominant role in the search for new possibilities of expression.
  • If a general educational approach is to emerge from the alloy of composers' experiences of their music creativity, it rests on the realization that the creative process involves a diversity of idiosyncratic conscious and unconscious traits.
  • After all, the creative process is an elusive cultural activity with no recipes for making it happen.
  • n this light, the common thread of composers' idiosyncratic concerns and practices that captures the overall aura of their music creativity pertains to (a) the intangibility of the unconscious throughout the compositional process,68 (b) the development of musical individuality,69 and (c) the desire to transgress existing rules and codes, due to their personal and social conflict between tradition and innovation.70
  • In turn, by making student composers in different classroom settings grasp the essence of influential professional composers' creative concerns, even if they do not intend to become professional composers, we can help them immerse in learning experiences that respect the mysteries of their intuitions, liberate their own practices of critical thinking in music, and dare to create innovative music that expresses against-the-prevailing-grain musical beliefs and ideas.
  • Therefore, it is critical that the music teacher be seen as the facilitator of students' compositional processes helping students explore and continuously discover their own creative personalities and, thus, empowering their personal involvement with music. Any creative work needs individual attention and encouragement for each vision and personal experience are different.
  • After all, the quality of mystery is a common theme in nearly every composer's accoun
  • Failing this, musical creativity remains a predictable academic exercise
  • Music teachers need to possess the generosity to refuse to deny student composers the freedom to reflect their own insights back to them and, in turn, influence the teachers' musical reality
  • Indeed, it is important that music teachers try to establish students gradually as original, independent personalities who try to internalize sounds and, thus, unite themselves with their environment in a continuous creative process.
  • Music teachers, therefore, wishing student composers to express and exercise all their ideas, should grant them ample time to work on their compositions,
  • n sum, music knowledge or techniques and the activation of the student composers' desire for discovery and innovation should evolve together through balanced stimulation.
  • While music creativity has been a component of music education research for decades, some of the themes arising from professional composers' experiences of their creativity, such as the significance of the unconscious, the apprehension towards discovering ones' own musical language, or the personal and social tension between tradition and innovation, among others, have not been adequately recognized in the literature of music education
  • By doing this, I strongly believe that musical creativity in general and composing in particular run the risk of becoming a predictable academic exercise
  • which merely demands problem-solving skills on the part of the student composers (or alleged "critical thinkers").
  • . On the other hand, only few music educators appear to draw their composer students' attention to the importance of the personal and social conflict between staying within a tradition or code, even if it is the Western popular music tradition, and breaking new ground at each step in the creative process and, possibly, shaping new traditions or codes.
  • Culture is a precious human undertaking, and the host of musics, arts, languages, religions, myths, and rituals that comprise it need to be carefully transmitted to the young and transformed in the process."85
  • Nevertheless, further research is needed in which women's voices can be heard that may offer an emancipatory perspective for the instruction of composition in education which will "challenge the political domination of men."
Marianne Hart

The Creativity Crisis - Newsweek - 48 views

  • there is one crucial difference between IQ and CQ scores. With intelligence, there is a phenomenon called the Flynn effect—each generation, scores go up about 10 points. Enriched environments are making kids smarter. With creativity, a reverse trend has just been identified and is being reported for the first time here: American creativity scores are falling.
  • “Creativity can be taught,”
  • it’s left to the luck of the draw who becomes creative: there’s no concerted effort to nurture the creativity of all children
    • Brian C. Smith
       
      Students are labeled as "creative" if they display a knack for art or music, and sometimes in writing, however, they are rarely recognized as creative in math or science where a lot of creativity is not only needed, but excellent for learning within those very two disciplines.
    • Bill Genereux
       
      This is precisely why creativity education is important. It is needed everywhere, not just in the arts. Those teaching outside of arts education need to start recognizing the importance of creative thinking as well.
  • ...23 more annotations...
  • When faculty of a major Chinese university asked Plucker to identify trends in American education, he described our focus on standardized curriculum, rote memorization, and nationalized testing. “After my answer was translated, they just started laughing out loud,” Plucker says. “They said, ‘You’re racing toward our old model. But we’re racing toward your model, as fast as we can.’ ”
  • The argument that we can’t teach creativity because kids already have too much to learn is a false trade-off. Creativity isn’t about freedom from concrete facts. Rather, fact-finding and deep research are vital stages in the creative process.
  • When you try to solve a problem, you begin by concentrating on obvious facts and familiar solutions, to see if the answer lies there. This is a mostly left-brain stage of attack. If the answer doesn’t come, the right and left hemispheres of the brain activate together. Neural networks on the right side scan remote memories that could be vaguely relevant. A wide range of distant information that is normally tuned out becomes available to the left hemisphere, which searches for unseen patterns, alternative meanings, and high-level abstractions. Having glimpsed such a connection, the left brain must quickly lock in on it before it escapes. The attention system must radically reverse gears, going from defocused attention to extremely focused attention. In a flash, the brain pulls together these disparate shreds of thought and binds them into a new single idea that enters consciousness. This is the “aha!” moment of insight, often followed by a spark of pleasure as the brain recognizes the novelty of what it’s come up with. Now the brain must evaluate the idea it just generated. Is it worth pursuing? Creativity requires constant shifting, blender pulses of both divergent thinking and convergent thinking, to combine new information with old and forgotten ideas. Highly creative people are very good at marshaling their brains into bilateral mode, and the more creative they are, the more they dual-activate.
  • those who diligently practice creative activities learn to recruit their brains’ creative networks quicker and better
    • Ed Webb
       
      Surely, "more quickly"?
  • Creativity has always been prized in American society, but it’s never really been understood. While our creativity scores decline unchecked, the current national strategy for creativity consists of little more than praying for a Greek muse to drop by our houses. The problems we face now, and in the future, simply demand that we do more than just hope for inspiration to strike. Fortunately, the science can help: we know the steps to lead that elusive muse right to our doors.
    • Brian C. Smith
       
      Likely because it was out of necessity and the hardships of life. Not that we don't have hardships and necessities, but innovation has solved a lot of problems and automation has made skills and tasks easy.
  • What’s common about successful programs is they alternate maximum divergent thinking with bouts of intense convergent thinking, through several stages. Real improvement doesn’t happen in a weekend workshop. But when applied to the everyday process of work or school, brain function improves.
    • Brian C. Smith
       
      Everyday process of work or school... over time, consistent and non-prescriptive.
  • kids demonstrated the very definition of creativity: alternating between divergent and convergent thinking, they arrived at original and useful ideas. And they’d unwittingly mastered Ohio’s required fifth-grade curriculum—from understanding sound waves to per-unit cost calculations to the art of persuasive writing. “You never see our kids saying, ‘I’ll never use this so I don’t need to learn it,’ ” says school administrator Maryann Wolowiec. “Instead, kids ask, ‘Do we have to leave school now?’ ” Two weeks ago, when the school received its results on the state’s achievement test, principal Traci Buckner was moved to tears. The raw scores indicate that, in its first year, the school has already become one of the top three schools in Akron, despite having open enrollment by lottery and 42 percent of its students living in poverty.
  • project-based learning
  • highly creative adults frequently grew up with hardship. Hardship by itself doesn’t lead to creativity, but it does force kids to become more flexible—and flexibility helps with creativity.
  • When creative children have a supportive teacher—someone tolerant of unconventional answers, occasional disruptions, or detours of curiosity—they tend to excel. When they don’t, they tend to underperform and drop out of high school or don’t finish college at high rates. They’re quitting because they’re discouraged and bored, not because they’re dark, depressed, anxious, or neurotic. It’s a myth that creative people have these traits. (Those traits actually shut down creativity; they make people less open to experience and less interested in novelty.) Rather, creative people, for the most part, exhibit active moods and positive affect. They’re not particularly happy—contentment is a kind of complacency creative people rarely have. But they’re engaged, motivated, and open to the world.
  • solutions emerge from a healthy marketplace of ideas, sustained by a populace constantly contributing original ideas and receptive to the ideas of others
  • The age-old belief that the arts have a special claim to creativity is unfounded.
  • When scholars gave creativity tasks to both engineering majors and music majors, their scores laid down on an identical spectrum, with the same high averages and standard deviations. Inside their brains, the same thing was happening—ideas were being generated and evaluated on the fly.
  • The lore of pop psychology is that creativity occurs on the right side of the brain. But we now know that if you tried to be creative using only the right side of your brain, it’d be like living with ideas perpetually at the tip of your tongue, just beyond reach
  • those who diligently practice creative activities learn to recruit their brains’ creative networks quicker and better. A lifetime of consistent habits gradually changes the neurological pattern.
  • The home-game version of this means no longer encouraging kids to spring straight ahead to the right answer
  • The new view is that creativity is part of normal brain function.
  • “As a child, I never had an identity as a ‘creative person,’ ” Schwarzrock recalls. “But now that I know, it helps explain a lot of what I felt and went through.”
  • In China there has been widespread education reform to extinguish the drill-and-kill teaching style. Instead, Chinese schools are also adopting a problem-based learning approach.
  • fact-finding
  • problem-finding
  • Next, idea-finding
  • there is one crucial difference between IQ and CQ scores. With intelligence, there is a phenomenon called the Flynn effect—each generation, scores go up about 10 points. Enriched environments are making kids smarter. With creativity, a reverse trend has just been identified and is being reported for the first time here: American creativity scores are falling.
  •  
    For the first time, research shows that American creativity is declining. What went wrong-and how we can fix it.
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