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Archive for the ‘Growth Mindset’ Category

MindsetLockBrian

The concept of a “growth mindset” is so wildly popular these days that it has spread into mass culture and creeps into many supposedly cutting-edge leadership development presentations.  Having a “growth mindset” means believing that you can improve your intelligence through effort and the use of effective strategies, whereas having a “fixed mindset” means accepting your limitations. It is now virtually the ‘New Age’ elixir for the ambitious in 21st century times.

Since the publication of Stanford University psychologist Carol Dweck’s 2006 book Mindset: The New Psychology of Success, the whole notion gained widespread currency. Her TED Talk attracted 10 million views and the mindset approach spread from elementary and secondary education and was applied in stress and mental health research, in conflict resolution, and in corporate boardrooms. School systems in Canada and around the world began to promote the teaching of growth mindset as a learning technique, and educational companies jumped on the bandwagon, generating sets of mindset materials for teachers and parents.

Millions of dollars went into funding mindset research until the first studies appeared five years ago calling into question the legitimacy of the fashionable psychological theory. Dweck’s claims and those of her research collaborator, David Yeager of the University of Texas at Austin, were challenged in a March 2018 study by Case Western Reserve University researchers. Two meta-analyses, replicating Dweck’s most-cited papers, reported “little or no support for the idea that growth mindsets are beneficial for children’s responses to failure or school attainment.”

Overhyped educational panaceas tend to underdeliver when subjected to evidence-based analysis and mindset theory is no exception. While some mindset-based interventions produced good results, the Case Western Reserve team found others had no effect on student outcomes.  Aside from a few methodological quibbles, the biggest criticism was that mindset research fell well short of its promise.

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Schools tend to be fertile ground for the latest psychological theories and learning experiments. From Brain Gym to learning styles, a succession of innovations promoted by curriculum and pedagogical consultants have been implemented by classroom teachers, only to be abandoned or simply disappear when shown to be largely a gimmick rather than a genuine breakthrough.

Unlike most educational ‘fads,’ Dweck’s ‘growth mindset’ did emerge out of some sound initial research into brain plasticity and was tested in actual case studies with students in the schools. University College London education researcher Dylan Wiliam, a renowned student assessment expert, even lent his support to the Growth Mindset movement when he embraced Dweck’s findings, codified the approach as  Talent = Hard Work + Persistence, and applied it to building ‘feedback’ into student assessment.

From 2015 to 2017, Dweck and her research associate Susan Mackie alerted researchers and education policy-makers to the spread of what was termed a “false growth mindset”  in schools and classrooms in Australia as well as in the U.S. and the UK. Too many teachers and parents, they pointed out in an influential 2016 article in The Atlantic, had either misinterpreted or debased the whole concept,.

Dweck discovered that in many classrooms it had been reduced to simple axioms like “Praise the effort, not the child (or the outcome).” In most cases, it was educational progressives, or parents, looking for alternatives to “drilling with standardized tests.” “Growth mindset disciples,” Dweck acknowledged, had reverted to praising students rather than taking “the long and difficult journey” and showing “how hard work, good strategies, and good use of resources lead to better learning.”

Defenders of mindset research now concede that the concept was disseminated far too fast. “Any popular idea in education gets spread way ahead of how ready the science is,” David Yeager told Scientific American in August 2019. Much like Dweck, he acknowledges that growth mindset is far more complex and subject to misinterpretation in schools and misapplication in classrooms.

Yeager, Dweck and members of their Mindset Scholars Network have fought back against the skeptics.  A massive study, based upon a randomized control trial of 12,000 students from across the United States, published in August 2019 in Nature demonstrated that mindset interventions can work in certain contexts. In this case, at the grade 9 level, and with lower-achieving students.  Exposure to two short, low cost online programs led to higher grades for lower-achieving Grade 9 students (an average improvement of 0.1 grade point) and many students chose more challenging math courses in the next grade. While showing positive signs, critics questioned whether, given the investment of resources, a 0.1 point boost was meaningful and whether the claims for such programs are inflated by the marketers.

Growth mindset may not have been debunked but the psychological theory has lost its lustre.  Successful implementation of mindset interventions appear to require finesse in the classroom. The national study showed that it could work with Grade 9 students supplied with study materials designed for that purpose. The latest 2022 research study on “Teacher Mindsets” in Psychological Science identifies where and why growth-mindset interventions do and do not work.  At the risk of oversimplifying, it essentially comes down to this: first year high school students supported by mathematics teachers with more highly-developed growth mindsets perform better. That is, to say the least, hardly earth-shaking.

What’s the litmus test for successful educational interventions? The bar, we now know, is set relatively low.  What is clear: Growth mindsets have proven very hard to instill and harder than its inventors ever imagined. It requires a laser-focused growth mindset to persevere and overcome the next set of obstacles. Even modest effects, Yeager confessed in March of 2018 in Wired Magazine, are “somewhat amazing” given the fact that “many, or even most very extensive and expensive educational programs have no effect at all.”

Why are school change theorists and system leaders so susceptible to the latest panacea?  How did “Growth Mindset” achieve its exalted status in North American K-12 education?  What happened to undercut its legitimacy?  How have lead proponents Carol Dweck and David Yeager responded to shore up support for the theory?  What does the whole controversy over “mindset theory:  teach us?

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Two of North America’s better known school change theorists, Andy Hargreaves and Dennis Shirley, have just published a fascinating article in Education Canada (December 2018) entitled “Well-being and success: Opposites that need to attract.” Looking back over Ontario’s implementation of the ‘Student Well-Being Agenda’ since 2014, the two Boston College consultants hired to both guide and review that agenda sound wistful but they do identify a few of the potential pitfalls. The article’s sub-title even hints at the now visible contradictions.

From 2014 to 2018, Hargreaves, Shirley and their Boston College research team were hired by the Ontario Directors of Education (CODE) to work with ten of Ontario’s 72 school boards to “understand the work they were doing on the ground” to implement the Ontario Ministry of Education’s educational change agenda.

The mandated provincial reform agenda embraced “four pillars”: achieving broadly defined excellence; securing equity for all students; promoting well-being (and positive feelings about learning); and establishing public confidence in the system.  Their mandate was to assess how the four pillars were being implemented and not whether they represented the right direction for the province. 

Hargreaves and Shirley are very skillful promoters of Ontario’s public school system. They are leading education change theorists and Ontario under the Kathleen Wynne Government might be described as “their baby.” “Canada is a global leader” in educational change, they confidently state, and that is why Ontario and Alberta are Exhibits A and B at education summits around the world. The latest iteration of Ontario educational boosterism even comes with a newly-minted slogan – “Leading from the Middle” (LfM)  It is, we are informed, spreading worldwide to Singapore, New Zealand, and Scotland.

The notion that Canada’s education leaders, including Education Deputy Ministers and Regional Superintendents, “lead from the middle” is quite a stretch.  So is the claim that “LfM” was “invented in Ontario” because the two leading promoters were professors at Boston’s Lynch School of Education.

“Leading from the Middle” is hard to pull-off when you are the CEO of a school system.  You can talk that way and spout the right words. Schools and school districts embracing “LfM,” we are told, do not just ” join up the dots” between policies at the top and practice at the bottom.” Instead, they lead “from the middle” with “shared, professional judgement, collective responsibility for initiating and implementing change” with “systemic impact that benefits all students.”

Ontario, Hargreaves and Shirley would have us believe, is moving from an “Age of Achievement and Effort” to an “Age of Learning, Well-being and Identity.”  That conclusion was reached after interviewing some 222 educators and Ministry officials implementing that agenda.  There was no hint in the CODE report (issued early in 2018)  of a coming storm (the Doug Ford hurricane)  let alone an upheaval that would stall this movement in its tracks.

Hargreaves and Shirley, based upon their Ministry-approved research, offer a number of conclusions, presented as incontestable truths: 1) Improved well-being increases achievement; 2) Academic achievement is crucial for well-being; and  3) Well-being has its own value and complements academic achievement. In sum, their research confirms the wisdom of Ontario Ministry directives from 2014 to 2018.

Most of the research actually cited in the Education Canada article is that conducted by advocates for, or contributors to, the Student-Well Being agenda. No one will be surprised to see the approving citations to work of Carol Campbell and others in Empowered Educators in Canada (2017), Carol Dweck’s Mindset: The new psychology of success (2007); and Leah M. Kuypers, Zones of Regulation (2011).  All conform nicely with the prevailing policy trends from 2014 to 2018.

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Dark clouds are spotted on the otherwise sunny horizon. The two CODE consultants sense that marrying student well-being with academic achievement may appear, to some, as contradictory. Then comes a warning : “In testing times, be wary of cheap shots that are easily made against well-being or achievement. On one hand, we don’t want a school system that is obsessed with well-being to the point where young people live in a superficial and self-indulgent world of undemanding happiness. That path leads to a nation of narcissistic adults who feel that success and earned expertise are unimportant., and all that matters is the needs and opinions of themselves and others who happen to agree with them.”

That passage concludes with a telling comment: “True well-being doesn’t come without sacrifice and struggle, perseverance, and empathy for others.” That’s quite an admission from two of the chief proponents of the Ontario “Student Well-Being agenda.’

The warning is counterbalanced by an obligatory reference to the wisdom of pursuing student achievement and well-being together. Unless I’m wrong, there’s also a grudging acknowledgement that student achievement still comes first and when it doesn’t educators default to more comfortable habitats – whether it’s worshiping the “god of self esteem” (1968 to 1992) or the new secular religion of “mindfulness” and “self-regulation” (2009-2018).

The prophecy that ends the Hargreaves-Shirley research summary is already coming to pass in Ontario education. The Well-Being policy agenda is now imperiled.  “Back to fundamentals” education and heavy investments in student well-being initiatives do not mix. “When budget cuts loom,” they note, “initiatives in yoga or meditation, or support roles in counselling and similar areas” are seen as dispensable, compared to literacy and math.

What are Andy Hargreaves and Dennis Shirley really saying in their retrospective on Ontario’s recent obsession with “Student Well-Being” and “Success for All”? Did Ontario really “invent” Leading from the Middle? How plausible is it for Regional Superintendents to “lead from the middle’?   If student achievement is paramount, then why not cite the academic literature that demonstrates its primacy? How much of the Dalton McGuinty-Kathleen Wynne education policy agenda will actually survive the Ford Revolution in Ontario politics? 

 

 

 

 

 

 

 

 

 

 

 

 

 

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A recent New York Times commentary by American engineering professor Barbara Oakley has, once again, stirred up much public debate focused on the critical need for “Math practice” and why current “Discovery Math” methodologies are hurting students, and especially girls. “You and your daughter can have fun throwing eggs off a building and making paper-mache volcanoes, “ she wrote,but the only way to create a full set of options for her in STEM is to ensure that she has a solid foundation in math.”  Mathematics is “the language of science, engineering and technology,” Oakley reminded us. And like any language, she claimed, it is “best acquired through lengthy, in-depth practice.”

That widely-circulated commentary was merely the latest in a series of academic articles, policy papers, and education blog posts to take issue with the prevailing ideology in North American Mathematics education, championed by Professor Jo Boaler of Stanford University’s School of Education and her disciples.  Teaching the basics, explicit instruction, and deliberate practice are all, in Boaler’s view, examples of “bad math education” that contribute to “hating Math” among children and “Math phobia” among the populace. Her theories, promulgated in books and on the “YouCubed” education website, make the case that teaching the times tables and practicing “multiplication” are detrimental, discovering math through experimentation is vital, and making mistakes is part of learning the subject.

Boaler has emerged in recent years as the leading edu-guru in Mathematics education with a wide following, especially among elementary math teachers. Under the former Ontario Kathleen Wynne government, Boaler served as a prominent, highly visible member of the Math Knowledge Network (MKN) Advisory Council charged with advancing the well-funded Math Renewal Strategy.” Newsletters generated by the MKN as part of MRS Ontario featured inspirational passages from Jo Boaler exhorting teachers to adopt ‘fun’ strategies and to be sensitive to “student well-being.”

While Boaler was promoting her “Mathematics Mindset” theories, serious questions were being raised about the thoroughness of her research, the accuracy of her resources, and the legitimacy of her claims about what works in the Math classroom. Dr. Boaler had successfully weathered a significant challenge to her scholarly research by three Stanford mathematics professors who found fault with her “Railside School” study. Now she was facing scrutiny directed at YouCubed by cognitive science professor Yana Weinstein and New York Math teacher Michael Pershan.  Glaring errors were identified in YouCubed learning materials and the research basis for claims made in “Mistakes Grow Your Brain” seriously called into question. The underlying neuroscience research by Jason S Moser and his associates does not demonstrate the concept of “brain sparks” or that the “brain grows” from mistakes, but rather that people learn when made aware of their mistakes. 

Leading researchers and teachers associated with researchED are in the forefront of the current wave of evidence-based criticism of Boaler’s theories and contentions.  Australian teacher-researcher Greg Ashman, author of The Truth About Teaching (2018), was prompted by Jo Boaler’s response to the new UK math curriculum including “multiplication practice” to critically examine her claims. “Memorizing ‘times tables,’ “she told TES, was “terrible.” “I have never memorised my times tables,” she said. “I still have not memorised my times tables. It has never held me back, even though I work with maths every day.”  Then for clarification:” “It is not terrible to remember maths facts; what is terrible is sending kids away to memorise them and giving them tests on them which will set up this maths anxiety.”  

Ashman flatly rejected Boaler’s claims on the basis of the latest cognitive research. His response tapped into “cognitive load ” research and it bears repeating: “Knowing maths facts such as times tables is incredibly useful in mathematics. When we solve problems, we have to use our working memory which is extremely limited and can only cope with processing a few items at a time. If we know our tables then when can simply draw on these answers from our long term memory when required. If we do not then we have to use our limited working memory to figure them out when required, leaving less processing power for the rest of the problem and causing ‘cognitive overload’; an unpleasant feeling of frustration that is far from motivating.”

British teachers supportive of the new Math curriculum are now weighing-in and picking holes in Boaler’s theories. One outspoken Math educator, “The Quirky Teacher,” posted a detailed critique explaining why Boaler was “wrong about math facts and timed tests.” Delving deeply into the published research, she provided evidence from studies and her own experience to demonstrate that ‘learning maths facts off by heart and the use of timed tests are actually beneficial to every aspect of mathematical competency (not just procedural fluency).” “Children who don’t know their math facts end up confused,” she noted, while those who do are far more likely to become “better, and therefore more confident and happy, mathematicians.”

Next up was University of  Pennsylvania professor Paul L. Morgan, Research Director of his university’s Center for Educational Disabilities. Popular claims by Boaler and her followers that “math practice and drilling” stifle creativity and interfere with “understanding mathematical concepts” were, in his view, ill-founded. Routine practice and drilling through explicit instruction, Morgan contended in Psychology Today, would “help students do better in math, particularly those who are already struggling in elementary school.”  Based upon research into Grade 1 math achievement involving 13,000 U.S. students, his team found that, of all possible strategies, “only teacher-directed instruction consistently predicted greater first grade achievement in mathematics.”

Critiques of Jo Boaler’s theories and teaching resources spark immediate responses from the reigning Math guru and her legions of classroom teacher followers. One of her Stanford Graduate Education students, Emma Gargroetzi, a PhD candidate in education equity studies and curator of Soulscrutiny Blog, rallied to her defense following Barbara Oakley’s New York Times piece.  It did so by citing most of the “Discovery Math” research produced by Boaler and her research associates. She sounded stunned when Oakley used the space as an opportunity to present conflicting research and to further her graduate education.

Some of the impassioned response is actually sparked by Boaler’s own social media exhortations. In the wake of the firestorm, Boaler posted this rather revealing tweet: “If you are not getting pushback, you are probably not being disruptive enough.” It was vintage Boaler — a Mathematics educator whose favourite slogan is “Viva la Revolution.”  In the case of Canadian education, it is really more about defending the status quo against a new generation of more ‘research-informed’ teachers and parents.

Far too much Canadian public discourse on Mathematics curriculum and teaching simply perpetuates the competing stereotypes and narratives. Continued resistance to John Mighton and his JUMP Math program is indicative of the continuing influence wielded by Boaler and her camp. Doug Ford’s Progressive Conservative Government is out to restore “Math fundamentals” and determined to break the curriculum gridlock.  The recent debate over Ontario Math education reform on Steve Paikin’s TVOntario program The Agenda featured the usual competing claims, covered familiar ground, and suggested that evidence-based discussion has not yet arrived in Canada.

What explains Professor Jo Boaler’s success in promoting her Math theories and influencing Math curriculum renewal over the past decade? How much of it is related to YouCubed teaching resources and the alignment with Carol Dweck’s ‘growth mindset’ framework? Do Boaler’s theories on Math teaching work in the classroom? What impact, if any, have such approaches had on the decline of Math achievement in Ontario and elsewhere?  When will the latest research on cognitive learning find its way to Canada and begin to inform curriculum reform?

 

 

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Developing a Growth Mindset in students and their teachers is perhaps the hottest trend in the education world outside of Canada. Originating in psychological science research conducted by Carol S. Dweck, starting in the late 1980s , and continuing at Stanford University, it burst upon the education scene in 2006 with the publication of Dweck’s influential book, Mindset: The New Psychology of Success.  The next great thing, growth mindset, became an instant buzzword phrase in many education faculties and professional development sessions.

The so-called Mindset Revolution, like most education fads, has also generated its share of imitations and mutations. Two of the best known are  the Mathematical Mindset, promulgated by Mathematics educator Jo Boaler, and a more recent Canadian spin-off, The Innovator’s Mindset, the brain-child of George Couros, a division principal of  Teaching and Learning with Parkland School District, in Stony Plain, Alberta, Canada. While Growth Mindset 1.0, got little traction in Canada, the second generation iteration dreamed up by Couros is increasingly popular among technology-savvy Canadian and American educators.

CarolDweckBannerLegions of professional educators and teachers in the United States, Britain, and Australia, have latched onto GM theory and practice with a real vengeance. One reliable barometer of ‘trendiness,” the George Lucas Educational Foundation website, Edutopia, provides a steady stream of short vignettes and on-line videos extolling the virtues of GM in the classroom. The growing list of Growth Mindset pieces @Edutopia purport to “support students in believing that they can develop their talents and abilities through hard work, good strategies, and help from others.”

What is the original conception of the Growth Mindset?  Here is how Carol Dweck explained it succinctly in the September 22, 2015 issue of Education Week: “We found that students’ mindsets—how they perceive their abilities—played a key role in their motivation and achievement, and we found that if we changed students’ mindsets, we could boost their achievement. More precisely, students who believed their intelligence could be developed (a growth mindset) outperformed those who believed their intelligence was fixed (a fixed mindset). And when students learned through a structured program that they could “grow their brains” and increase their intellectual abilities, they did better. Finally, we found that having children focus on the process that leads to learning (like hard work or trying new strategies) could foster a growth mindset and its benefits.”

GrowthMindsetModelDweck’s theory of Growth Mindsets gained credibility because, unlike most educational ‘fads,’ it did emerge out of some sound initial research into brain plasticity and was tested in case studies with students in the schools. Leading education researcher Dylan Wiliam, a renowned student assessment expert, lent his support to the Growth Mindset movement when he embraced Dweck’s findings and applied them to building ‘feedback’ into student assessment.  He adopted this equation: Talent = Hard Work + Persistence (A Growth Mindset) and offered this endorsement: “The harder you work, the smarter you get. Once students begin to understand this “growth mindset” as Carol Dweck calls it, students are much more likely to embrace feedback from their teachers.”

Ten years on, cracks appeared in the Growth Mindset movement when some of the liveliest minds in education research began to probe more deeply into the theory, follow-up studies, and the supposed evidence of student success. An early skeptic, Disappoined Idealist, hit a nerve with a brave little commentary, December 5, 2014, wondering whether the Growth Mindset described a world as we wanted it to be, rather than one as it is, and likened it to “telling penguins to flap harder( and they would be able to fly like other birds).  Self-styled ‘education progressives’ have taken their cue from American writer Alfie Kohn who weighed in with a widely-read Salon commentary in which he argued that Dweck’s research had been appropriated by “conservative” educators trying to “fix our kids” when we should be “fixing the system.”

The Growth Mindset ‘magic dust’ is wearing thin in the United Kingdom. British education gadfly David Didau,The Learning Spy, initially “pretty psyched” by Dweck’s theory, has grown increasingly skeptical over the past year or so. In a succession of pointed commentaries, he has punched holes in the assumption that all students possess unlimited “growth potential,” examined why more recent GM interventions have not replicated Dweck’s initial results, questioned whether GM is founded on pseudoscience, and even suggested that the whole theory might be “bollocks.”

Intrepid Belgian education researcher, Pedro De Bruyckere, co-author of Urban Myths About Learning and Education,  has registered his concerns about the validity of research support, citing University of Edinburgh psychologist Timothy Bates’ findings. Based upon case studies with 12-year-olds in China, Bates found no evidence of the dramatic changes in Dweck’s earlier studies: “People with a growth mindset don’t cope any better with failure. If we give them the mindset intervention, it doesn’t make them behave better. Kids with the growth mindset aren’t getting better grades, either before or after our intervention study.”

For much of the past two years, Dweck and her research associate Susan Mackie have been alerting researchers and education policy-makers to the spread of what is termed a false growth mindset” in schools and classrooms in Australia as well as Britain and the United States. Too many teachers and parents, they point out, have either misinterpreted or debased the whole concept, reducing it to simple axioms like “Praise the effort, not the child (or the outcome).” In most cases, it’s educational progressives, or parents, looking for alternatives to “drilling with standardized tests.”

GrowthMindsetFalsityDweck’s greatest fear nowadays is that Growth Mindset has been appropriated by education professionals to reinforce existing student-centred practices and to suit their own purposes. That serious concern is worth repeating: ” It’s the fear that the mindset concepts, which grew up to counter the failed self-esteem movement, will be used to perpetuate that movement.” In a December 2016  interview story in The Altantic, she conceded that it was being used in precisely that way, in too many classrooms, and it amounted to “blanketing everyone with praise, whether deserved or not.”

A “false growth mindset” arises, according to Dweck, when educators use the term too liberally and simply do not really understand that it’s intended to motivate students to work harder and demonstrate more resilience in overcoming setbacks. She puts it this way:  “The growth mindset was intended to help close achievement gaps, not hide them. It is about telling the truth about a student’s current achievement and then, together, doing something about it, helping him or her become smarter.” Far too many growth mindset disciples, Dweck now recognizes, reverted to praising students rather than taking “the long and difficult journey” in the learning process and showing “how hard work, good strategies, and good use of resources lead to better learning.”

One of Dweck’s most prominent champions, Jo Boaler, may be contributing to the misappropriation of Growth Mindset theory in her field.  As an influential Stanford university mathematics education professor, Boaler is best known as an apostle of constructivist approaches to teaching Mathematics in schools. She saw in Dweck’s Growth Mindset theory confirmation that a “fixed mindset” was harmful to kids convinced that they “can’t do Math.” It all fit nicely into her own conception of how children learn Math best – by exploration and discovery in classrooms unleashing childrens’ potential. It became, for Boaler, a means of addressing “inequalities” perpetuated by “ability groupings” in schools. It also served to advance her efforts to “significantly reposition mistakes in mathematics” and replace “crosses” with “gold stars” and whole-class “opportunities for learning.”

The Canadian mutation, George Couros’ The Innovator’s Mindset, seeks to extend Carol Dweck’s original theory into  the realm of technology and creativity. Troubled by the limitations of Dweck’s model and  its emphasis on mastery of knowledge and skills, he made an “awesome” (his word) discovery –that GM could be a powerful leadership tool for advancing “continuous creation.” In his mutation of the theory, the binary “fixed” vs. “growth” model morphs into a more advanced stage, termed the “innovator’s mindset.” In his fertile and creative mind, it is transmogrified into a completely new theory of teaching and learning.

GrowthMinsetCourosModelTaking poetic licence with Dweck’s research-based thesis, Couros spins a completely different interpretation in his fascinating professional blog, The Principal of Change:

As we look at how we see and “do” school, it is important to continuously shift to moving from consumption to creation, engagement to empowerment, and observation to application. It is not that the first replaces the latter, but that we are not settling for the former. A mindset that is simply open to “growth”, will not be enough in a world that is asking for continuous creation of not only products, but ideas. “

Promising educational theories, even those founded on some robust initial research, can fall prey to prominent educators pushing their own ‘pet ideas’ and pedagogical theories. While a 2016 Education Week report demonstrates the GM initiatives produce mixed results and British education researchers are having a field day picking apart Carol Dweck’s research findings, another version of her creation is emerging to make it even harder to assess her serious case studies being replicated around the world.

Which version of Carol Dweck’s Growth Mindset theory and practice are we assessing – the original conception or the “false” conception?  How and why did an educational theory intended to motivate students, instill a work ethic, and help kids overcome obstacles get so debased in translation into classroom practice?  Is the fate of the Growth Mindset indicative of something more troubling in the world of education research? 

 

 

 

 

 

 

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