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For instance, how often do most adults encounter a situation in which they need to solve a quadratic equation? Do they need to know what constitutes a “group of transformations” or a “complex number”? Of course professional mathematicians, physicists and engineers need to know all this, but most citizens would be better served by studying how mortgages are priced, how computers are programmed and how the statistical results of a medical trial are to be understood.

Imagine replacing the sequence of algebra, geometry and calculus with a sequence of finance, data and basic engineering.

Traditionalists will object that the standard curriculum teaches valuable abstract reasoning, even if the specific skills acquired are not immediately useful in later life. A generation ago, traditionalists were also arguing that studying Latin, though it had no practical application, helped students develop unique linguistic skills. We believe that studying applied math, like learning living languages, provides both useable knowledge and abstract skills.

In math, what we need is “quantitative literacy,” the ability to make quantitative connections whenever life requires (as when we are confronted with conflicting medical test results but need to decide whether to undergo a further procedure) and “mathematical modeling,” the ability to move practically between everyday problems and mathematical formulations (as when we decide whether it is better to buy or lease a new car).

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

a burst at the start and top-ups through company training—is breaking down. One reason is the need for new, and constantly updated, skills.

The 19th and 20th centuries saw stunning advances in education. That should be the scale of the ambition today

It is easier to learn later in life if you enjoyed the classroom first time around: about 80% of the learners on Coursera already have degrees. Online learning requires some IT literacy, yet one in four adults in the OECD has no or limited experience of computers. Skills atrophy unless they are used, but many low-end jobs give workers little chance to practise them.

WHEN education fails to keep pace with technology, the result is inequality.

Continuously upgrade educators' classroom technology skills as a pre-requisite of "highly effective" teaching

Home Advocacy Top Ten in '10: ISTE's Education Technology Priorities for 2010 Through a common focus on boosting student achievement and closing the achievement gap, policymakers and educators alike are now reiterating their commitment to the sorts of programs and instructional efforts that can have maximum effect on instruction and student outcomes. This commitment requires a keen understanding of both past accomplishment and strategies for future success. Regardless of the specific improvement paths a state or school district may chart, the use of technology in teaching and learning is non-negotiable if we are to make real and lasting change.  With growing anticipation for Race to the Top (RttT) and Investing in Innovation (i3) awards in 2010, states and school districts are seeing increased attention on educational improvement, backed by financial support through these grants. As we think about plans for the future, the International Society for Technology in Education (ISTE) has identified 10 priorities essential for making good on this commitment in 2010: 1. Establish technology in education as the backbone of school improvement . To truly improve our schools for the long term and ensure that all students are equipped with the knowledge and skills necessary to achieve in the 21st century, education technology must permeate every corner of the learning process. From years of research, we know that technology can serve as a primary driver for systemic school improvement, including school leadership, an improved learning culture and excellence in professional practice. We must ensure that technology is at the foundation of current education reform efforts, and is explicit and clear in its role, mission, and expected impact. 2. Leverage education technology as a gateway for college and career readiness . Last year, President Obama established a national goal of producing the highest percentage of college graduates in the world by the year 2020. To achieve this goal in the next 10 years, we must embrace new instructional approaches that both increase the college-going rates and the high school graduation rates. By effectively engaging learning through technology, teachers can demonstrate the relevance of 21st century education, keeping more children in the pipeline as they pursue a rigorous, interesting and pertinent PK-12 public education. 3. Ensure technology expertise is infused throughout our schools and classrooms.  In addition to providing all teachers with digital tools and content we must ensure technology experts are integrated throughout all schools, particularly as we increase focus and priority on STEM (science-technology-engineering-mathematics) instruction and expand distance and online learning opportunities for students. Just as we prioritize reading and math experts, so too must we place a premium on technology experts who can help the entire school maximize its resources and opportunities. To support these experts, as well as all educators who integrate technology into the overall curriculum, we must substantially increase our support for the federal Enhancing Education Through Technology (EETT) program.  EETT provides critical support for on-going professional development, implementation of data-driven decision-making, personalized learning opportunities, and increased parental involvement. EETT should be increased to $500 million in FY2011. 4. Continuously upgrade educators' classroom technology skills as a pre-requisite of "highly effective" teaching . As part of our nation's continued push to ensure every classroom is led by a qualified, highly effective teacher, we must commit that all P-12 educators have the skills to use modern information tools and digital content to support student learning in content areas and for student assessment. Effective teachers in the 21st Century should be, by definition, technologically savvy teachers. 5. Invest in pre-service education technology

Old vendor relationships may no longer be as critical, and you might end up dealing with anyone from Amazon to Apple, players who only recently began to play in the enterprise space.

Clearly, one of the best things we can do for students is to require them to write—a lot.

Require lots of writing. As the management guru Peter Drucker argued, communication is the one skill required of all professionals, regardless of field. "As soon as you take one step up the career ladder," he said, "your effectiveness depends on your ability to communicate your thoughts in writing and in speaking."

Focus on critical thinking. A common complaint of employers, as reflected in the NACE survey, is that many workers have difficulty thinking for themselves. They may be thoroughly trained, having mastered all of the concepts in the textbooks, but, inevitably, situations arise that weren't covered in the books. When that happens, the ability to think critically, independently, and creatively becomes indispensable.

Bring the real world into the classroom. Another strategy we can adopt, if we want our courses to be more relevant, is to make our class discussions, case studies, experiments, and assignments as real-world-based as possible. For example, in my composition courses, I not only allow students to choose their own essay topics, but I also encourage them to write about issues related to their prospective majors. I also assign reading (in addition to the old textbook standbys) from newspapers, popular magazines, even the Internet.

Make the connection. Take advantage of every opportunity to connect what students are doing in class with what they will be doing some day as employees. My students hear the term "the real world" so much that, by the middle of the term, they're starting to roll their eyes. But it's important for them to understand that the work we're doing now in class isn't just a series of meaningless exercises, another set of hoops for them to jump through on their way to a degree. They're going to have to do these things for real one day—describe processes, do research to find solutions, draw comparisons—and my course may be the last time anyone ever actually teaches them how.