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THE GROWTH MINDSET – THE POWER OF YET

One of the more talked-about topics in psychology and especially in educational psychology is Carol Dweck’s idea of the “growth mindset”, a concept she discusses in her book Mindset: The new psychology of success. Growth mindset isn’t something that Dweck invented and is now teaching us all how to attain. It is a distinctive trait she observed in people who are happier and more successful, which led her to seek ways to help develop and nurture it in people who do not share this predisposition.

So what actually is growth mindset?

While working as a young researcher, Dweck noticed that some children face challenges in a much more “positive” way than others. They would say things like “Oh, I love a challenge” or “I expected this to be informative”, instead of having tragic and catastrophic thoughts when faced with difficulties. Dweck coined the term “fixed mindset” for children who shrink before obstacles, and “growth mindset” for those who seek challenges and become even more engaged when faced with obstacles. Of course, these two mindsets apply to us all, and it is important to note that whereas we can’t have a growth mindset in every area of our lives, we sure can try to develop it.

To show what growth mindset really is, let’s try to contrast it further with the fixed mindset. People with a fixed mindset think that their characteristics are carved in stone and can never be changed. They firmly believe that intelligence, creativity, and personality are things we are born with and can hardly be something we develop. People with a growth mindset believe we can cultivate these characteristics through effort and that the process of cultivating them is more important than the actual outcome. A fixed mindset, on the other hand, wants results right away and doesn’t care as much about the process as it does about the outcome. Of course, Dweck doesn’t deny that people differ from the get-go, but she claims that we can all “change and grow through application and experience” (Dweck, 2006).

Another thing that differentiates these two mindsets is how they perceive and react to failure. People with a fixed mindset are more likely to believe they can fail and that by doing so their abilities will be questioned. Just the act of hitting obstacles would prove to them that they aren’t capable of overcoming them. People with a growth mindset, on the other hand, don’t really see failure as on option – obstacles are just perceived as opportunities to improve and learn, and by being faced with them and, generally something new, we get smarter.

Dweck illustrates this difference further with an interesting remark about language and how we use it to rate success. She mentions how saying “not yet” to students instead of saying they failed a class is a much better way to show them that even if they have difficulties overcoming something now, the time will come when they will succeed, if they continue tackling the obstacle from different angles. The use of “yet” shows that there is a learning curve, and points to the process, not the outcome. This also tells children that they aren’t being taught to learn simply for grades, but for their future and it encourages them to dream big and think about what they want to do with their lives, instead on focusing only on what they are currently achieving in school.

This entire idea of the power of yet and growth mindset isn’t just something Dweck came up with and wrote overnight. She (and many others) actually did research and showed time and time again that if a growth mindset is encouraged, children earn better grades and achieve better results than they did before – even better than some of their peers from much more affluent schools, which shows that growth mindset is a great path to achieving a more equal education system.
This research illustrates two important facts about growth mindset: it does work and it can be developed. It is not something we are born with.

What is a false growth mindset?

Before we dive into the exciting topic of how a growth mindset can be developed, we need to do some myth-busting. As with any other trending topic in education, it is hard nowadays to avoid the words “have to”, “need to”, and “all” when reading about growth mindset. It is often declared that we should all have to develop growth mindsets because they are just so much better, which ignores the principle behind the concept. Firstly, a growth mindset isn’t something you can just achieve overnight. It takes a lot of work and develops over time. Secondly, it isn’t a get-out-of-jail-free card you can use whenever you’re faced with difficulty. Dweck points out that we are a mixture of both growth mindset and fixed mindset, and at different times and in different areas of our lives either one can predominate.

Another point she makes is that people often claim they have a growth mindset when they actually don’t, or use the concept of a fixed mindset to excuse why someone is failing, when the only failure is actually not providing the context in which a growth mindset can be achieved. It is also easy to think that simply by encouraging children and praising their effort, we are developing their growth mindsets. It’s a bit more complicated than that – it is not just about praising, it is about praising the right way.

So how is a growth mindset developed?

Developing a growth mindset is a complex process, but it is not unattainable and can actually serve as a great first obstacle on which to practice our mindsets.

The main point that Dweck makes is that a growth mindset is developed through praise, but not the usual after-the-fact praise which focuses on outcomes, but the praise that focuses on the process of learning. This isn’t about blanketing children in praise for any of their efforts, but about praising the strategies they used and the entire process that lead to outcomes. A simple example of this would be saying “I love how you tried all these different strategies while solving this problem until you got it” instead of saying “Great job. I knew you’d get it, you are smart!”

That example showcases another point that Dweck makes; we should praise the process, not the abilities. Praising abilities encourages the fixed mindset that these things are set in stone, which definitely doesn’t promote change or development. Rather, it makes children think that what they can do is what they can do and the same applies for what they can’t do.

Another reason why Dweck insists “it is not the outcome, it is the effort that counts” is ineffective is because it lets students believe that if they try hard enough, they will succeed no matter their strategies. In effect, it can bring them to repeat the same futile strategies over and over again. On the other hand, insisting on the process or the use of multiple strategies until the obstacle is overcome, and praising that effort, teaches them that they need to change their strategies in order solve the problem. It also shows them they can use all the resources available and ask for help when they need it.

And finally, Dweck points out that even failure should be addressed as something that enhances learning. We can ask children “What is this teaching us? What should we do next?” instead of either praising the effort or protecting them by saying things like “Don’t worry, not everyone can be good in everything. You are not the only one that failed.” In both cases we are developing a fixed mindset and letting children know that we believe they can’t do better, while a switch in mindsets would help them achieve so much more and help them in their future lives.

If you are already thinking of implementing these ideas while raising your child, there is more encouraging news. The growth mindset isn’t something we can start developing only in early childhood, Dweck says it is never too late for change, so why not try it on yourself, too, and see how it goes.

Resources:

  1. Dweck, C. S. (2006). Mindset: The new psychology of success. New York: Random House.
  2. Dweck, C. S. (2012). Mindset: How you can fulfill your potential. Constable & Robinson Limited.
  3. Dweck, C. S. (2014). Developing a Growth Mindset.
  4. Dweck, C. S. (2016). What Having a “Growth Mindset” Actually Means.
  5. Gross-Loh, C. (2016). How Praise Became a Consolation Prize.
  6. Romero, C. (2015). What We Know About Growth Mindset from Scientific Research
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MATH THAT EXCITES AND MOTIVATES? YES, IT’S WITHIN YOUR REACH

Our founder has a long history of interest in mathematics. Here, he reflects on how, congruent with the Growth Mindset [1] approach to teaching, interest, and motivation awakened by teachers and parents, and not innate ability, led to his efforts and achievements. Mathematics, including statistics, is a foundational element in navigating life well and excelling in many careers. The founder details techniques parents and teachers can use to help students of all abilities activate their interest and maintain their motivation for learning mathematics. We have found that these techniques help create mathematically accomplished learners.

The Challenge for Parents and Teachers – How to Excite and Motivate

My first recollection of being interested in mathematics comes from second grade. We had a self-paced mathematics workbook and I found myself competing against a classmate named Wally to see who would finish first. I don’t remember now who won, but I realize that, even as a second grader, that feeling of competition pushed me to try harder and do more. Reflecting back, I am guessing that I was guided by a wise teacher who knew how to get the most out of me while also keeping me out of trouble.

Parents and teachers today are challenged with exciting and motivating their students, with their varying levels of abilities and motivations, to achieve in mathematics and other subjects. Today, I find myself the coach of a math team comprised of amazing students of varying levels, all really interested and excited about mathematics, and I wonder how their learning path led them to join the math team. Psychologists tell us that, to understand this subject, we should take a step back and review motivation for cognitive tasks such as learning and, even before motivation, understand how an interest in a subject starts.

Why the focus on interest and motivations? Because it matters. While, for years, America has focused on the teachers’ capabilities and depth of knowledge in the materials they are teaching, no surprise, students’ own beliefs and motivations form a significant part of effective learning. Carol Dweck’s Growth Mindset research shows that, like compound interest, differences in attitude can accumulate to significantly different accomplishments over time. This research holds true across different ability levels, cultures, and socio-economic groupings.

First, Activate Interest

Researchers, such as Paul Silva from the University of North Carolina, have been making progress on examining the science of interest, understanding what interest is, determining how topics become interesting and learning how we can cultivate interest in ourselves and those around us [2]. Interest helps the brain to focus and can drive everyone to think more clearly, focus better and achieve more in any particular area, regardless of their ability.

Paul Silva’s research details how, for a subject to be deemed interesting, it must be novel, complex, but still comprehensible. The tools to help make math interesting can take many forms, including:

  • Make mathematics relevant to the family [3]- Can you estimate how much money is needed to purchase a group of items? Which is cell phone plan right depending on how much data everyone uses? What is the effect of just a 0.2% expense charge on your retirement after compounding for 30 years?
  • Mathematics through logic puzzles and workbooks – A huge array of math and logic puzzles and workbooks is available for all levels. Browse in the library or bookstore and bring home what captures your student’s attention. These are some of the founder’s favorites: https://goo.gl/d66ji4.
  • Amazing Results, Paradoxes & Fallacies [4]- How much is $0.01 doubling each day for a month [5]? Prove that 1 = 2 [6]. And, consider this favorite of my nephew Mitchell, prove that 1+2+3+… infinity = -1/12 [7].
  • Crazy Math Challenges [8]- How many marshmallow bags would we need to fill up your brother’s room? How fast must Santa be traveling to deliver presents to all those homes within 24 hours?
  • Math using projects – This is probably the most useful form of instruction as the retention rate for hands-on learning achieved through projects is very high. Consider this example: If you built a marshmallow cannon, how fast would the marshmallows have to travel to go up two stories [9]? How high must a track’s starting point be to accomplish a 2’ diameter loop-de-loop for the racers [10]?

To make these activities novel and complex, present content from a wide variety of sources and levels to see what engages students and challenges them. For classroom teachers, this means having items at all levels available. Parents can more precisely gauge their child’s interest and abilities by trying different content at different levels.

As parents and educators, we soon find the delicate balance in keeping content comprehensible. We must encourage persistence and innovative thinking, but not frustrate the student at the same time. We can subtly monitor progress and ask our students leading questions, and help them understand the material while not taking away from their achievements. While the student may need hints to reach the right solution, the key is that the student can approach the problem on their own.

Then Maintain Motivation

“If Kids Don’t Want to Learn You Probably Can’t Make ‘em” – Jack Frymier

My wife, a very talented classroom teacher, sees her job, at the beginning of each school year, as getting to know each child, discovering what motivates them and then using that knowledge to teach them more effectively during the year. As humans, parents, and teachers, evolution has left many of us with instinctual approaches to motivation better suited for motivating physical tasks and encouraging behavioral modification, e.g. take out the garbage or you don’t get your allowance. While effective for simple tasks, this form of motivation falls short in motivating us in highly cognitive tasks such as learning. We need to take care. Pressure, unfair competition, threats, or punishments can all disrupt the learning process. Teachers and parents can accelerate the learning process by weaving in techniques such as autonomy, rewards for effort and achievement, and the delivery of more positive than negative feedback. Students respond well to our genuine interest in their learning pursuits and our reinforcement of the relevance of their study materials too [11].

James Middleton goes a bit further and details how, to maintain interest, the student must continue to see how the activity provides continued stimulation while also remaining in their control [12]. In practice, that means letting the student choose. All parents and teachers know how addictive and enticing electronic devices can be; so, for most students, all this must be accompanied by some sort of non-electronic relaxation time, where playing Call of Duty on your phone or texting friends is not an option.

A very useful tool for parents can be to utilize the Pomodoro technique and combine study time, e.g. study for the first 45 minutes of the hour, and use the remaining 15 minutes for non-electronic relaxation and explore some of the learning activities explained above. Teachers can ask students to select from these activities during these breaks from structured learning. Even though it’s the equivalent of asking your child: “would you like to take a bath or go to bed?”, it still allows them to retain control.

Parents and teachers may want to try some of these motivational tools:

  • Learning Gamification – Reward for progress and efforts – While sourced from the mortal enemy of learning, gaming, the techniques work just as well in incentivizing learning as they do in encouraging gaming addictions. In this case, at least, the student might find him/herself hooked on something useful [13].
  • Reward Systems that work in a student’s home – A properly designed reward structure can help bring focus to students who find it hard working for longer-term goals (e.g. ADHD/ADD). Teachers can convey home the students’ awards while parents can deliver the actual reward. These rewards can take the form of money, screen time (with limits), or even tasks performed by the teacher/parent such as doing the dishes at home or cleaning up their students’ desks.
  • Drawing practical inferences – Students can benefit from periodically linking the learned material back to real-world applications, e.g. using probability to determine if you should bother checking Google Maps for traffic on the way to school.
  • Project-Based Learning [14]- A huge subject beyond the scope of this article, it’s been shown that accomplishing learning through projects is one of the most important elements in maintaining motivation. The theory is that the project learning helps link the learning to practical inferences.
  • Demonstrate genuine interest in their learning – We need to show a genuine interest in what our students are learning. This recognition and attention will provide much-needed reinforcement for students.
  • Engage in well-matched competitive efforts – Competition is a motivator. When engaging our students in a competition, we need to make sure that both students believe that, with effort, they could succeed. This could be tiered competitions in the classroom, competitions formed through a website like chesskids.com, or even employing a system of handicaps so that the less accomplished learner can still win.
  • Engage/relate items they are already interested in – This could be as simple as labels. E.g. How many phases does it take to burn a …
  • Encouraging revision and learning from initial mistakes – This is quite simple to do at home, but a real challenge for the traditional classroom environment. Allowing students to revise their work is a significant learning and motivational tool.
  • Value/Reward/Recognize the knowledge acquisition itself – Have acknowledgments in the family or classroom for knowledge progress regardless of level. Psychologically, it is quite simple to fall into the pattern of always recognizing the most accomplished students, but implementing some tools that help force you to spread the praise can combat this tendency, and motivate the students who really need it.
  • Address anxiety surrounding tests or studying – Sometimes, anxiety due to previous failures, whether perceived or real, can interfere with future progress. Work with a teacher, coach or other professional to help with organizational abilities and study habits. Addressing anxieties and providing encouragement can go far in removing this blocker of motivation.

Summary

Teachers and parents have many available tools to activate interest and maintain motivation for learning in students. Research shows that applying just a few of these techniques regularly can result in a significant difference in student engagement and, ultimately, accumulated learning. Teachers can engage parents to educate through these tools and activities and personalize them for their children while parents can assist teachers in complementing classroom efforts. Parents and teachers must keep a constant eye on the tools they deploy, ensuring they stay positive and work well with encouraging cognitive tasks while being specific to the motivators of each student.

While these tools can be used to activate, or re-activate, a learner, regardless of level, in any subject area, the focus on math is because of its criticality for other subject learning, the long-term usefulness of education in life and careers, and the history of math in being a source of challenges. Not learning the state capitals has few long-term effects, but not knowing your multiplication tables can trip you up for life.

The astronomer Galileo Galilei observed in 1623 that “[the entire universe] is written in the language of mathematics” and that science and society are governed by mathematical principles and ideas. From counting and sets to systems theory and practice, understanding mathematics helps us, as humans, overcome our genetic programming, and function better as a society.

Postscript and Thanks to …
In writing this article, I did a little self-reflection on my own mathematics learning journey. I was lucky to have parents, teachers, and colleagues who gave me many of the above items. Here are a few key people that I could remember who helped me on that journey:

  • 2nd Grade – Ms ??? for letting me compete with Wally P. to finish that workbook first.
  • 3rd Grade – Scott S. for being a worthy, nearly unbeatable competitor in “around the world”.
  • 7th Grade – for Ms.??? for working with me 1:1, and encouraging me to compete in and study for the county math exam.
  • 9th Grade – Dr. Zalewski – For allowing me to earn my first C in math [15] and teaching me to work hard at math again. I also remember waking up in class after being hit by chalk. I guess I knew he cared and knew I could do better.
  • 10th Grade – Mr. Philips – For “bet A points”, “minus B”, and more contagious enthusiasm contained in one teacher than I thought was possible.
  • 11th Grade – Ms. Potrikus – For 3/11 day, having purple as my favorite color again and an understanding of how Newton got to inventing calculus.
  • 12th Grade – To the ‘ov people’. I took the AIME exam that year and got clobbered by all these people whose last names ended in ‘ov’ (e.g. Kasparov) from the New York City area. I began to think about how a whole culture can bring about an accomplishment.
  • High School – Dr. Swanson for encouraging my efforts at leadership on the math team. We really managed to get kids excited about math and make it a team sport.
  • The entire MAA/AIME/Mathematics Olympiad team that created the tests every year that I would get excited about. Yeah… I was that kid and still have a stack of the old tests.
  • Stevens Institute of Technology – Dr. Roger Pinkham – For introducing me to Apostle’s Calculus book, deep mathematical thinking and an appreciation for how math describes the universe. Ohh.. and to Vivek and Henry L. who showed me what real math-smart people could accomplish.

References:

  1. https://www.edutopia.org/article/growth-mindset-resources
  2. Silvia, P. J. (2005). What is interesting? Exploring the appraisal structure of interest. Emotion, 5, 89-102.
  3. http://illuminations.nctm.org/uploadedfiles/activities_home/familyguide_fulltext.pdf
  4. Some favorite paradoxes, fallacies, and amazing results:
  5. http://www.bloomberg.com/news/videos/b/92966fc7-c54d-4405-8fa6-cbefd05bbd6f
  6. https://www.math.toronto.edu/mathnet/falseProofs/fallacies.html
  7. https://www.youtube.com/watch?v=w-I6XTVZXww
  8. E.g. http://www.eduplace.com/kids/mhm/brain/gr6/index.html
  9. http://community.homedepot.com/howto/DiscussionDetail/Marshmallow-Cannon-9065000000008MO
  10. This was used by the founder to teach his son calculus
  11. https://www.edutopia.org/blog/strategies-helping-students-motivate-themselves-larry-ferlazzo
  12. James A. Middleton, “A Study of Intrinsic Motivation in the Mathematics Classroom: A Personal Constructs Approach,” Journal for Research in Mathematics Education, Vol. 26, No. 3, pages 255-257.
  13. https://www.lynda.com/Higher-Education-tutorials/Gamification-Learning/173211-2.html
  14. https://www.edutopia.org/project-based-learning-guide-importance
  15. This sentence initially read “..gave me my first C..”. My teacher wife corrected it. 🙂

FLIPPING VHS TAPES, THE CLASSROOM & WHAT CAN WE FLIP NOW?

by Andrew Sachs

Learning, motivation and the future of education

In education today, flipping classrooms and instruction is getting a lot of attention lately. The promises include increased motivation, mastery of content and not grades, an applicability of the approach to all types of learners, and an unmatched pace of learning. In this post, our founder details his first experiences with flipped instruction 30 years ago, and his more recent experiences: his daughter’s self-study for an AP Calculus exam, as well as his wife’s challenges in flipping a public school classroom. Finally, he details a method for families with high school students to try, by implementing flipped instruction principles, using AP exams.

Learning from books while skipping class

In the late 80s, while attending college for electrical engineering, I mastered learning from a textbook, mostly as a survival technique. I attended my early college lectures, because I had to, even though my college professors would just lecture what was in the textbook. They mandated my attendance and supplied test hints and homework assignments I could not miss, during their lectures. As an undiagnosed ADD learner, I would get bored or fall asleep in the lectures, and I accidentally discovered that I learned more quickly when studying the book directly; so, I started doing just that. Thanks to my friend Jessica, who shared her outstanding notes from my few classes that didn’t mandate attendance, I learned efficiently and effectively and preserved my grades, all while skipping class.

Resorting to lures or mandating class attendance always struck me as particularly inefficient. Why not just make the classes more interesting? I realized, only later in life, how impossible it is to make classes interesting to all students at all times. I know now that my professors were really trying to help the core body of students by doing what they felt was in our best interest.

Flipping VHS tapes and Learning at Light Speed at Stevens Institute of Technology

In 1988, I had an opportunity to take a self-paced particle physics class. The class consisted of workbooks, a textbook, chapter exams, advancement after mastery, lectures on VHS tapes and a room of talented physics teaching assistants; Sal Khan would have been excited (1). This was the flipped classroom – 20 years before Sal Khan made his now-famous YouTube videos for his nieces and nephews. To electrical engineers, the class was quite interesting because it covered the actual physics occurring at the subatomic level, which dictated the behavior of semiconductors. Effectively, the class covered the Legos of the electronics world.

The flipped class structure of the particle physics course seemed particularly suited to my learning style, and it seemed efficient too. I could attend excellent lectures, consume the content from the book, practice on modules, lean on teaching assistants when I was stuck, and progress after I mastered the material, even while I was sleeping if I wanted to. Like many engineering classes, the modules built upon each other, to give the student a comprehensive understanding of a complex subject. There was an added benefit too if you could remain focused: By taking so many modules in one day, you didn’t forget content between the modules, which allowed you to make quick progress through the content. Heck, if you wanted to, you could complete the class within just three days, which is exactly what I did.

My motivation had more to do with efficiency than anything else. I wanted to learn the material as quickly as I could, take the final exam, and be done with it. I knew I was not the brightest student, not by a long shot, but after three 12-hour days, alternating my existence between the TA room, my bed and a spot in the library, I finished the course material, took the final exam and scored the highest final exam grade in my class of a few hundred students. I credit my time-crunched life, a well-structured course, and great teaching assistants for my ability to learn at light speed.

Fast forward nearly 25 years, and my daughter was working on some AP Calculus material as a high school freshman doing self-study. She had some tutoring, and mastered most of the material within 3 days, intermittently asking her online tutor and me for help. While she only scored a 3.0 GPA on the exam, she showed how much could be learned quickly in a “flipped environment” – provided the resources and motivation were present.

Trying to flip the American Classroom, lots of stakeholders

Sal Khan, the Khan Academy, and his backers deserve all the credit for bringing the notion of a “flipped classroom” into our lexicon and making it something we could strive toward. The Khan Academy model gives us a student-centered learning model where students are not pushed ahead before they master the information; they are allowed to move at their own pace. With accessible content, exercises, and assistants, students spend their time learning and closing their knowledge gaps, not waiting for others to close theirs while their thoughts drift away in boredom or confusion. In flipped instruction, each member of the class moves along at his or her own pace. It lifts the bar on the rates at which students can learn, and this results in greater mastery of content. Students can accomplish learning and not just grades. They can find and maintain their motivation (2).

While schools nationwide work to adopt flipped classroom models, the challenges are significant for the many different stakeholders. My wife is dedicated to improving education, and this has afforded me a nearly first-hand visibility into the challenges facing teachers trying to flip classrooms. The challenges come from many areas including:

  • Mandated state or district tests with particular timings – This goes against the notion of self-determined progress. Also, taking a test covering material you learned two months earlier is difficult.
  • The shift from grades to mastery – Parents, teachers, administrators and even colleges still have “grades on the brain” and will require time before they see objective proof of mastery as a substitute for grades and class ranking. If a child finished the material in 4 weeks, does that make it an “A”?
  • Non-universal access to broadband and equipment to watch content at home – Without supplying the equipment and services to those in need, the digital divide increases, and students cannot accelerate equally.
  • Change is hard – Yes, it is. Different administrations, schools, departments and teachers will make uneven progress toward what is, quite possibly, the biggest change in education since the schoolhouse.
  • Content for your curriculum – It is no small task to amass the content needed for your school’s curriculum. In a flipped classroom, it must all be available online, allowing unrestricted progress for all students.

While there are barriers and challenges, it is clear that this reinvention of the classroom holds incredible potential and will be a key part of a reinvented educational system.

How can a student or family take advantage of the technology now?

While we wait for our schools to flip, what can parents and families do now to take advantage of these resources and these new accelerated ways of learning? Clearly, leaning on these resources to augment normal instruction is great (3). However, how can a student use these resources to accomplish the whole course learning at an accelerated pace? The answer is embedded in the cost of college classes for Americans.

Almost all colleges accept Advanced Placement (AP) exams for credit from incoming freshmen. These are college-level courses, taught in high school, and credit is given based on scores earned on the final (AP) exam supplied by the College Board. Due to the unavailability of instructors in many school districts, and a push to have the exams widely available, it is not a requirement that a student takes the class in order to take the test. They can self-study, take the final and, with a four or five out of five on the exam, get credit at most colleges, thereby saving costly tuition that would have been spent if the respective class had been taken at college. AP classes, exams, and credit are great ways for families to accelerate college, make it a bit easier, and potentially save money.

So, self-studying for an AP exam is a great way to take advantage of these flipped resources. A high school student could, during a break or even during the year, self-study and take the exam for credit. Depending on the level of independence, the student might also wish to use a tutor to help with learning acceleration and a coach to help with motivation. Many students start with great intentions, but tracking progress and maintaining motivation to accomplish the goal is a critical element in actually finishing the material and earning a good score on the exam.

Conclusion

While we will certainly see flipped classrooms are most certainly where we will end up, the switching costs needed to implement this educational model are significant for many public education institutions. This progress, unlike learning, is not likely to be realized at light speed. However, either through enrichment or, as outlined above, with college credit AP exams, families can take advantage of these new learning techniques and help their students realize real progress on their learning journey.

There are many other aspects of reinventing learning that we do not touch on in this post. Self-directed learning, project-based learning, and mastering your own learning processes are just a few of the areas that promise continuing efficiencies in our learning organizations. My next post will focus on self-directed, project-based learning that helps activate, not just maintain, student motivations.

Resources

For those wishing to learn more about flipped classrooms and how to accelerate these changes, please visit these resources:

  1. www.khanacademy.org
  2. http://www.jonbergmann.com/
  3. https://www.cte.cornell.edu/teaching-ideas/designing-your-course/flipping-the-classroom.html