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Nigel Coutts

Thinking throughout the Inquiry Cycle - The Learner's Way - 9 views

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    If we believe that all learning is a consequence of thinking, then we should consider what types of thinking our learners are likely to benefit from at each phase of their inquiry. This is where the Understanding Map, developed by Ritchhart, Church & Morrison offers useful guidance. By contemplating the demands of each phase of our chosen inquiry model, we can plan for how we might scaffold thinking moves which will enhance our learners' learning.
Nigel Coutts

Are we there yet? Are we there? - The Learner's Way - 6 views

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    This much-maligned question seems so appropriate for education's recent history. All that was normal, everything that was routine, all of our structures, have been turned upside down and hurled into the wind of COVID19. From having spoken of a future dominated by volatility, uncertainty, complexity and ambiguity (VUCA), we have found ourselves living in it. Innovation and creativity became the new normal as we "Apollo 13" schooling into a model that met the demands of emergency remote learning. The pressure, the workload, the demands on our time and the cognitive load have all been immense, and so it seems fitting to ask "Are we there yet?".
Nigel Coutts

What if questions are the way to the solution - The Learner's Way - 13 views

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    Adults love to ask "What if...?" questions too. It is a model that can be a catalyst for change when used in the right way and when combined with some other questions. 
meghankelly492

Mental skills for musicians: Managing music performance anxiety and enhancing performance. - 1 views

  • In asurvey of 2,212 classical musicians, 40% re-ported that anxiety interfered with their perfor-mances (Kirchner, Bloom, & Skutnick–Henley,
  • , see Kenny (2005) andMcGinnis and Milling (2005
  • Few studies have investigated whether a cog-nitive intervention can reduce anxiety and en-hance performance in musicians (Lehrer, 1987;Steptoe & Fidler, 1987)
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  • did notreturn any recent studies investigating the effec-tiveness of a purely cognitive intervention in thetreatment of MPA; consequently, research inthis particular area is needed
  • Past re-search has focused on combined interventions;however, often these programs run for over 6weeks and it is unknown which aspects of theintervention are most effective (e.g., Nagel,Himle, & Papsdorf, 1989)
  • State–Trait Anxiety Inventory (STAI).The STAI is widely used in anxiety researchand is considered to be a valid and reliable scale(Kenny, 2006).
  • The PAI (Nagel, Himle, & Papsdorf, 1981) isbased on the STAI and is a music inventoryassessing the three-systems model of anxiety
  • heart rate at 10 min, 5
  • Signs of anxiety included trem-bling knees, lifting shoulders, stiff back and/orneck, trembling hands, stiff arms, face deadpan,shaking head, moistening and/or biting lips, dis-tressed facial expressions, and sweating.
  • Nagel et al.reported that the average preintervention scorewas 55 and the average postintervention scorewas 38, with a score of 39 or less indicating a
  • person has few problems with performance anx-iety
  • Researchers have found that MPA af-fects instrumentalists and vocalists of all agesand abilities, including students, professionals,amateurs, and children (Brotons, 1994; Kenny,2006; Liston, Frost, & Mohr, 2003)
  • Few studies have investigated whether a cog-nitive intervention can reduce anxiety and en-hance performance in musicians (Lehrer, 1987;Steptoe & Fidler, 1987)
  • Few studies have investigated whether a cog-nitive intervention can reduce anxiety and en-hance performance in musicians (Lehrer, 1987;Steptoe & Fidler, 1987
  • The cognitive intervention had no significanteffect on anxiety levels. Sweeney and Horan’s(1982) study indicated that a cognitive restruc-turing program may be helpful in the treatmentof MPA; their program, featuring cognitive re-structuring, significantly reduced anxiety.
  • d it is unknown which aspects of theintervention are most effective (e.g., Nagel,Himle, & Papsdorf, 1989)
  • The STAI is widely used in anxiety researchand is considered to be a valid and reliable scale
  • Performance Anxiety Inventory (PAI)
  • cognitive, behavioral, and physiological fac
  • and has beenwidely used in treatment outcome research
  • Behavioral Anxiety Index (BAI)
  • igns of anxiety included trem-bling knees, lifting shoulders, stiff back and/orneck, trembling hands, stiff arms, face deadpan,shaking head, moistening and/or biting lips, dis-tressed facial expressions, and sweating
  • Participants were then taught howthoughts, behaviors, and feelings interact andinfluence performance
  • practical exercise, how people waste their en-ergy trying to control uncontrollable factors,thereby impairing performance
  • This exercise wasdesigned to demonstrate how thoughts cansometimes be irrational and can be changed inlight of new evidence
  • how to use self-talk effectively and how touse cues
  • Participants practiced how to identify negativethoughts, stop the thoughts, and use cues to helpthem overcome the negative thoughts.
  • Imagery is a mentalexercise that can help athletes maintain concen-tration, decrease anxiety, and improve confi-dence; thus, it may also be helpful for somemusicians (Gregg & Clark, 2007).
  • Participants in the wait-list controlgroup waited 3 weeks until their second perfor-mance, which was on the same night as theirfirst worksho
  • MPA is a pervasive problem affecting musi-cians of all ages and abilities. As compared withthe research on mental skills training in athletes,relatively little is known about the assessment,treatment, and theoretical underpinnings ofMPA
  • Kenny (2006) suggested that improving perfor-mance quality will have a positive, self-reinforcing effect on the musician and enhanceconfidence in future performances.
  • We predicted that anxiety levels would de-crease in the treatment group from pre- to post-test. This hypothesis was partially supported.Specifically, there was a significant reductionon the PAI in the treatment group. Although theparticipants improved after the intervention,they were still not within the optimal rangeaccording to Nagel et al. (1981
  • Although the decrease in anxiety was notas large in our study, our participants droppedfrom the high performance anxiety category tothe moderate performance anxiety category
meghankelly492

The association of music experience, pattern of practice and performance anxiety with playing-related musculoskeletal problems (PRMP) in children learning instrumental music - Sonia Ranelli, Anne Smith, Leon Straker, 2015 - 0 views

  • Music inexperience, changed pattern of practice and performance anxiety are associated with playing-related problems in child instrumentalists and are therefore important issues for music education.
  • Research on adult musicians has adopted these models and identified individual intrinsic factors such as age and gender, music performance anxiety and enjoyment, extrinsic factors such as music practice habits and type of instrument played and intrinsic–extrinsic interaction factors such as playing posture, technique and student–teacher interaction which influence the development of PRMP.
  • The aim of this study was to describe the music practice of child instrumentalists and determine their associations with playing-related musculoskeletal problems (PRMP), accounting for gender and age
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  • Symptoms of performance anxiety are generally categorized into cognitive (e.g. catastrophic thoughts), behavioral (e.g. avoidance of performance/auditions) and physiological (e.g. dry mouth, shaking arms/hands, increased heart rate) (Plaut, 1990; Salmon, 1990).
  • Shoup (1995) reported performance anxiety negatively affected performance in 55% (234/425) junior high and high school instrumentalists.
  • Over a third of students (36%, 263) reported they experienced the feeling of butterflies most times to always when playing in a concert or competition (Table 1).
  • There was a significant association between gender and the experience of butterflies (χ2 = 32.32, df (4), p < .001) with more females reporting the experience of butterflies than males. There was a significant association between age and reported experience of the feeling of butterflies (F = 9.012, df (3), p < .001), with older children reporting the experience of butterflies more than younger children.
meghankelly492

Music performance skills: A two-pronged approach - facilitating optimal music performance and reducing music performance anxiety - Susanna Cohen, Ehud Bodner, 2019 - 1 views

  • music performance anxiety (MPA)
  • The concept of “flow”, describing the subjective psychological state in which a person is completely immersed and fully concentrated in an activity which is enjoyable and rewarding, is often associated with optimal functioning
  • Anxiety is generally regarded as having an antithetical relationship with flow
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  • The clinical implications of this negative association between MPA and flow suggest that a two-pronged approach focusing on facilitating flow and positive functioning as well as reducing pathological MPA may bring about improvements in the performer’s subjective performing experienc
  • Seligman’s (2011) most recent model of well-being, from the field of positive psychology, understands well-being as comprising five elements: Positive emotion, Engagement, Relationships, Meaning and Achievemen
  • There is a substantial body of Music Performance Anxiety (MPA) research providing evidence that MPA is a debilitating phenomenon (Kenny, 2011) which can affect musicians at any stage of their careers, from highly experienced professional performers (Fishbein, Middlestadt, Ottati, Straus, & Ellis, 1988; Kenny, Driscoll, & Ackerman, 2014) through to child beginners
  • Anxiety is often described as having an antithetical relationship to the experience of flow (Csikszentmihalyi, 1975), and it has been suggested that fostering techniques for facilitating flow may provide a powerful tool for reducing MPA and encouraging optimal performance
  • “when performance anxiety was highest, flow was lowest and vice versa … the presence of one minimises the magnitude of the other” (Fullager et al., 2013, p. 251), and a recent study found evidence of a strong, significant negative association between flow and MPA amongst 200 professional orchestral musicians (Cohen & Bodner, 2018), supporting Kirchner et al.’s (2008) earlier findings with music students
  • Investigations of the efficacy of existing methods for treating MPA indicate that Cognitive Behavioural Therapy based interventions are most effective (for an overview, see Burin & Osorio, 2016).
  • However, evidence suggests that pharmacological methods, particularly beta-blockers, are most commonly used, often in the absence of medical supervision (Cohen & Bodner, 2018; Kenny et al., 2014) and that the subject of MPA is still stigmatised, with many musicians and teachers unwilling to talk openly about it
  • Csikszentmihalyi’s nine dimensions of flow as follows
  • Although there was an increase in flow over time, this was not significant, F(1, 20) = 4.27, p > .05, η2 =.18, and there was no evidence of a significant interaction between group and time, F(1, 20) = 0.56, p > .05, η2 = .03, indicating that the hypothesis that there would be an increase in self-reported levels of flow in the intervention group, was not supported.
  • Figure 4. Judge-rated musical performance quality and signs of performance anxiety in the intervention group.
  • These results support the fourth hypothesis that there would be an increase in judge-rated PQ and a decrease in judge-rated SPA.
  • Results showed evidence of a significant negative association between MPA and flow, and three out of the four study hypotheses were supported: the music performance skills intervention was found to be effective in reducing pre-/post-test MPA in the intervention group compared to the wait-list control group; there were significant improvements in positive and negative affect and state anxiety associated with the performance situation in the intervention group; and there were significant improvements in judge-rated PQ and behavioural signs of performance anxiety. However, there was no significant change in pre-/post-test measures of flow. These findings will now be discussed in more detail.
  • This supports the understanding of MPA as a specific type of anxiety, where the performer suffers from MPA without necessarily being generally anxious or impaired in any other areas of his/her life (Clark & Williamon, 2011; Hoffman & Hanrahan, 2011) and corresponds to Kenny’s (2011) description of the first and most mild of three types of MPA (for full coverage of this issue, see Kenny, 2011).
  • Thus, the absence in improvement in levels of flow in the current study could also be due to the low average hours of daily practice reported
  • The increases in participants’ positive affect and decreases in negative affect after the second simulated performance compared to the first indicate that the intervention was effective in facilitating positive emotion, the first component of Seligman’s (2011) PERMA model of well-being
  • Evidence of improvements in judge-rated performance quality indicate that the intervention was also effective in facilitating the fifth (Achievement) component of the PERMA model.
  • “Ironically, it may be that the last people to receive some benefit from the therapeutic value of music may be the musicians themselves” (Brodsky, 1996, p. 95).
  • Hopefully, such an approach will enable developing musicians to acquire the skills necessary to enjoy satisfying, successful and healthy lives as performing musicians, in which the threat of debilitating MPA and the need to recourse to beta-blockers are a thing of the past.
  • Cohen, S., & Bodner, E. (2019). Music performance skills: A two-pronged approach – facilitating optimal music performance and reducing music performance anxiety. Psychology of Music, 47(4), 521–538. https://doi.org/10.1177/0305735618765349
Martin Burrett

Book: Making every maths lesson count by @MccreaEmma via @CrownHousePub - 4 views

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    "Making Every Maths Lesson Count is underpinned by six pedagogical principles - challenge, explanation, modelling, practice, feedback and questioning - and presents 52 high-impact strategies designed to streamline teacher workload and ramp up the level of challenge in the maths classroom. Throughout this book, Emma McCrea (through extensive research and practice) explores how to manage mathematical misconceptions with practical ideas on many areas of the required curriculum. The six pedagogical principles mentioned above form the heart of the book, with metacognitive questioning given space in developing cognitive strategies with pupils. "
meghankelly492

Music That Represents Culture: Selecting Music with Integrity: EBSCOhost - 4 views

  • The term authenticity has been applied to music in various ways. It might be used to describe a piece of music (recorded, notated, performed); the process by which the music is taught and learned ( through recordings, live models, notation); or the manner in which it is performed (venue, dress, behaviors).
  • In other words, authenticity lies within the perceptions of the individual.
  • Anthony Palmer, who teaches music education at Boston University, has said that music with "absolute authenticity" is performed (a) by and for members of the culture; (b) in a typical setting, as determined by the members of the culture; (c) with instruments specified by the creator(s) of the music; and (d) in its original language.[ 8] Inarguably, and as Palmer recognizes, attaining this level of authenticity is impossible in a school music program (unless we consider "school music" residing within a unique culture of its own). In school, music is separated from its primary source many times over. Music is passed from its primary source (composer, grandmother) to an intermediary (arranger, performer, notation, recording) and channeled through a publisher or presenter to the teacher and finally to students. To confound matters, there are variants of melodies, lyrics, dances, games, and performance styles.
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  • Ethnomusicologist Bruno Nettl explains that "societies differ, however, in their attitude toward musical stability; to some it is important that a song remain stable and unchanged, while in others individual singers are encouraged to have their personal versions."
  • but he believes educators must determine at what point that musical experience is no longer acceptable as representative of that culture.
  • Having clear visions of educational goals and the broad curriculum is vital to making these determinations.
  • Bennett Reimer states, "Those inner workings are themselves the project of cultural systems, so they must be revealed in their contexts, historical, cultural, and political, in order to be grasped appropriately; that is, 'knowing about' becomes an essential ingredient of artistry and of listening."[ 15] For example, children might not fully understand the meaning of "Take Me Out to the Ball Game" unless they understand what baseball is or realize that the song is traditionally sung at baseball games.
  • text in an unfamiliar language should include a translation so students understand the meaning of the words.
  • However, a culturally valid work is not necessarily bias free; and conversely, bias-free music is not necessarily culturally valid.
  • Selecting the best music to represent a culture in an unbiased manner is a process of discovery. You will first need to educate yourself before you can educate others.
meghankelly492

"Can't We Just Change the Words?": EBSCOhost - 1 views

  • The idea of wanting to be true to the music of a culture, to the people of that culture, and to one's students in teaching is at the heart of the discussion of authenticity.
  • However, teaching music without attention to its cultural context is a problem in several respects: it risks misrepresenting the musical practice being studied, it fails to take advantage of the potential benefits of culturally infused music teaching, and it promotes a conception of music as isolated sonic events rather than meaningful human practices.2 Discussion about this struggle to balance accurate performance practice with accessibility has focused on the concept of authenticity
  • The definitions of authenticity represented in the music education literature fall into four models: the continuum model; the twofold historical/personal model; the threefold reproduction, reality, and relevance model; and the moving-beyond-authenticity model.
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  • how does each author use authenticity as a strategy for making or justifying decisions in music education?
  • authenticity enhances an aesthetic experience; for others, authentic musical encounters enhance student motivation
  • since the original loses some of its essential qualities in a simplification.5
  • His view of historical authenticity calls for knowing the intentions of the composer, the performance practice of the time, using period instruments, and being musically creative within the boundaries of the composer's intentions
  • Peter Kivy's twofold model of authenticity. Focusing on historical authenticity in performance, Kivy explores two main aspects of authenticity: historical (attention to the intent, sound, and practice of the original) and personal (interpretation and expression of the performer).
  • Swanwick writes: "'Authentic' musical experience occurs when individuals make and take music as meaningful or relevant for them"
  • Swanwick's emphasis on the importance of personal relevance yields different choices for a music teacher than Palmer's position does.
  • Another example is found in the work of music educator and researcher Kay Edwards, who also reached the conclusion that attention to authenticity increases student response to learning. In her qualitative study of the response of children to a unit on Native American music, she found that the group using instruments of the Navajo, Hopi, Apache, and Yaqui peoples generated more journal responses overall (her criterion measure) and more responses about instrument playing than the groups with the inauthentic (traditional music room) instruments.
  • Using indigenous instruments, original languages, and involving culture bearers in instruction benefits student involvement and interest as well as helps them develop musical skills. Connecting the story of a piece of music to students' own experiences and encouraging students to create new music in the style of music being studied help facilitate meaningful experiences for students.
  • "World music pedagogy concerns itself with how music is taught/transmitted and received/learned within cultures, and how best the processes that are included in significant ways within these cultures can be preserved or at least partially retained in classrooms and rehearsal halls.
Chema Falcó

Reconsider the Use of the SAMR Model - 26 views

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    If we look closely at the fundamental presupposition of SAMR model use then we will see that there are serious issues in how the model can enhance learning.
Kim Loeffen

A Personalized Learning Backlash -- THE Journal - 11 views

    • Kim Loeffen
       
      Elementary school Summit backlash includes concerns on data usage and other issues
  • personalized instruction is getting renewed attention as schools in the northeast consider calling their experiments in the instructional model a failure.
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  • there's "little evidence for the effectiveness" of personalized instruction delivered through technology.
    • Kim Loeffen
       
      Student protest of an online Facebook driven learning "experience" causes the NY DOE to drop the program in grades 11-12
Martin Burrett

Mecabricks - 16 views

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    "Build models of virtual lego and share with your pupils. Great for creating objects for your lessons. Browse/edit the bank from other users."
Nigel Coutts

How might we develop self-regulated learners? - The Learner's Way - 17 views

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    A common question is how do we facilitate the development of independent, self-regulating learners. With an increased focus on the development of dispositional models for learning where the skills and mindset of the learner are crucial, how do we ensure that our learners move from requiring external regulation to a model of internal regulation?  
mrshathaway

Evaluating a Website or Publication's Authority - Web Literacy for Student Fact-Checkers - 25 views

  • most of us would like to ascribe authority to sites and authors who support our conclusions and deny authority to publications that disagree with our worldview
  • Wikipedia’s guidelines for determining the reliability of publications. These guidelines were developed to help people with diametrically opposed positions argue in rational ways about the reliability of sources using common criteria.
  • defined by process, aim, and expertise.
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  • fact-checkers of all political stripes are happy to be able to track a fact down to one of these publications since they have reputations for a high degree of accuracy, and issue corrections when they get facts wrong.
  • a reliable source for facts should have a process in place for encouraging accuracy, verifying facts, and correcting mistakes
  • Process
  • researchers and certain classes of professionals have expertise, and their usefulness is defined by that expertise
  • Expertise
  • while we often think researchers are more knowledgeable than professionals, this is not always the case
  • Reporters, on the other hand, often have no domain expertise
  • Aim
  • Aim is defined by what the publication, author, or media source is attempting to accomplish
  • One way to think about aim is to ask what incentives an article or author has to get things right
  • In general, you want to choose a publication that has strong incentives to get things right, as shown by both authorial intent and business model, reputational incentives, and history
Nigel Coutts

Thinking in the Wild - Thinking routines beyond the classroom - The Learner's Way - 21 views

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    Despite this being a 'thinking' conference, despite us all being advocates for structured and scaffolded models of thinking, not one group had applied any thinking routines, utilised a collaborative planning protocol or talked about applying an inquiry model or design thinking cycle. It wasn't that we didn't know about them. It wasn't that we don't know how to use them. It wasn't that we don't value them. We had all the knowledge we could desire on the how to and the why of a broad set of thinking tools and anyone of these would have enhanced the process, but we did not use any of them. Why was this the case and what does this reveal about our teaching of these methods to our students?
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.
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