Tag Archives: Math

Common Core meme provocation and response – 9 ways to Go Faster!

The “Angry Mother Destroys Common Core” internet meme got my goat when I browsed the comments section. I grant that the actual meme problem was overbearing (it’s the “write a letter to Jack”  about subtraction error using the number line). But in the comments I saw a lot of complaints about how the number line approach was not the fastest way to the answer, and thus a confusing waste. Not those commenters’ faults in a way; they are just sticking with the one-right-way paradigm about math they were taught back in the day.

So I yielded to temptation and uploaded a response comment on the meme’s thread, sharing here for (I hope) your amusement:

Apparently to many folks, the Fastest way to get to The Answer is the Point of math. Here are 9 ways to go faster:

1) Memorize lots of formulas – as many as you can.
2) Once it seems to you like one of your formulas can be applied, run it.
3) Even for addition, use a calculator (We all have one in our phones, sweet!)
4) Download a powerful calculator that has lots of formulas pre-coded for you to just punch in a few #’s. Less memorizing!
5) Have your mom do the problem for you (that’s faster, right?)
6) Have your mom just give you the answer (now we’re getting fast!)
7) Have your smartphone solve it (it knows more than Mom!) http://www.nydailynews.com/…/new-photomath-app…
8) Don’t answer the question – heck what difference does it make if you answer someone else’s canned math question anyway?
9) Don’t even bother taking a math class and save yourself years of grief – other people know how to do the math that you can’t do with a calculator or app anyhow, right? And aren’t there lots of people to tell you they never broke out a binomial or even an ‘x’ in their worklife, ever, so what a waste?

Oh, and now that speed has been served, please enjoy your trip into the real world after school, where people get good pay if they can solve real problems via pattern recognition, efficient problem abstractions, and a myriad of hierarchical solution methods, using logical thinking. Within a few months of hiring on, managers know who can solve problems and who is weak. Calculators don’t cut it.

Oh yeah one more thing: in the real world there is no 1 right answer in the back of the book.

My kids will see your kids out in the world competing for jobs. Good luck to them all!

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The Digital Learning Revolution is not Glossy. (Or LTE.)

The Digital Learning Revolution Will Not Be Glossy. Or LTE.

First posted on Sums&Solutions blog.
Part one of a multi-part series

The true Digital Learning Revolution has not yet arrived. If you go into a classroom and see every student with an iPad on wifi, full 1:1, you are not necessarily seeing a Digital Learning Revolution. Counting what type and how glossy and how many are the digital devices is not how you tell.

Because the Digital Learning Revolution is not about digitizing conventional learning. Nor even about increasing access.

It’s not about digitized problem sets – even if they are gamified. Not even if the problems are scored instantly; nor even if the problem sequence can be varied based on responses (aka “adaptive learning”). Textbook-like problems presented digitally, no matter how entertainingly wrapped in back-story, music, interesting side-bar links, procedural hints and immersive 3-D exploration, are still just this: use previously memorized patterns and procedures to get THE right answer.

It’s not about digitized asynchronous lectures. By their nature they are not interactive. They are passive. Yes, even if talking heads and filmed overhead grease pen scrawls have moved from VHS-access in the 70’s to YouTube-access 40 years later, lectures are not the Digital Learning Revolution.

And it’s especially not about the advent of the latest digital hardware vehicles. Tsunamis of digital hardware have washed into many classrooms, many times. From Apple IIe’s in the 1980’s to Apple iPad II’s in the teens. With interactive whiteboards somewhere in between. First off, the change in how most subjects were taught day to day was minimal. Worse, it did not become the “new normal” for students or teachers to even just use them day to day. There was no killer app. No deep penetration. No Digital Learning Revolution – yet.

Of course, revolutionizing the learning itself depends on the content IN the digital vehicles, a point powerfully made in this excellent white paperChoosing Blindly, Instructional Materials, Teacher Effectiveness, and the Common Core, from the Brown Center on Educational Policy’s Chingos and Whitehurst.  And if that content is just a digitization of the conventional, then no matter how glossy and retina-resolution the screen, no matter how anywhere or anytime or speedy the access, the learning will still be “conventional” learning. By the way, how well has a focus on conventional learning, a focus where the content is considered a commodity, done over the last four decades?

Note moreover, that a narrow view of digital content + student, without taking into account the teacher’s interaction with new content and a new learning process, is also not the Digital Learning Revolution. Because as Chingos and Whitehurst point out, the Digital Learning Revolution occurs at the intersection of the student, and the content, and the teacher. So new digital vehicles, even conveying radically different content (such as interactive videogames), or, rather, especially when carrying radically different content, will not achieve the Digital Learning Revolution … without a comprehensive re-tooling of teacher understandings, processes, and goals.

Beyond Hardware

What about the other major digital game-changer of the 21st Century, you say – what about digitized access? Searchable access to the world’s libraries of content? Anywhere anytime access to the cloud through cheap personal hand-held devices?

You are a participant in that access revolution. So, look around you, what is your experience? Have you experienced, or seen a Digital Learning Revolution? A communication revolution to be sure – connectivity is off the charts. And it’s certainly a revolution in “find something, cut, and paste”. A plethora of small, disconnected written nuggets delivering instant gratification for quick trivia questions. Consumption from the cloud is off the charts. But, when you are looking for depth, you have not yet seen a revolution of learning. As I blogged here re speed v. depth, and here re googling.

The digital access revolution did not bring the Digital Learning Revolution along for the ride.

Again, the key is content. And that a Learning Revolution must involve three interacting components: student, content, and teacher. As I blogged here re blended learning. A Learning Revolution requires the teacher for social, evaluative, motivational, and yes, human communication. The Digital Learning Revolution will require humans. The best sort of humans: teachers who help others grow and improve

In the next installment: well anyhow, we should expect digital content for free, right?

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Digital 1-2-3s Make Math Sense for Preschool Kids

Every parent can see that birth to 5 is a whirlwind of learning. Many parents strive to include informal learning activities like the ABC’s.  But you may be surprised to learn that no aspect of early education is more important to a child’s academic future than mathematicsResearch from Greg Duncan at the University of California, Irvine shows that early math skills in 5 year-olds are the single greatest predictor of later achievement.

So at a recent early childhood education conference in Chicago, I was excited to see policy leaders, researchers, corporations and foundations rallying around the importance of supporting our youngest learners, including in math.  Their vision for accomplishing it … well, I found that less exciting as the only presentation focused on digital content for 4 year olds was my own.

Understandably. The vast majority of digital content “out there” for kids is of low educational quality. I enjoy Sponge-Bob, if not Disney princesses, as much as anyone. But having a 4 year old gesture her way through random edutainment apps is hardly the “transformation” of learning you’ve been hoping for. And yet, digital content is ideal for rapid scale-up, and every year we “wait” for a non-digital solution to reach scale, we miss out on yet another cohort of 4 million more 4 year-olds in the U.S.

So how do you judge digital program quality? First, look for a program that is radically different. Second, look for early, consistent, rigorous results. At the K-5 level, there is a digital, neuroscience-based math program —  MIND Research Institute’s ST Math, that has shown potential for radical transformation of learning. ST Math has successfully doubled and tripled annual growth in math proficiency for Grade 2-5 students on state tests, as it presents math concepts as a full in-school curriculum of visual, language-free puzzles of virtual onscreen manipulatives.

If there exists a proven math program that teaches math visually, without requiring language proficiency or even reading skills, then what better age to apply it to than pre-readers – especially ones who don’t necessarily speak any English! ST Math is currently being piloted in select teacher-led, site-based Pre-K classrooms in Los Angeles. Imagine a teacher working with a 4-year old digital native, who is using a tablet to get literally “hands-on” with number sense.

If we want to level the education playing field before traditional schooling even starts, and lay a solid foundation across the nation for lifelong success in STEM fields, we need to start young and be bold. Digital, unconventional, deeper-learning tools like ST Math may be the transformation you’ve been looking for.

A version of this blog was published in the September issue of District Administration.

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Transforming the Education Market: Look to Non-Profits

This piece was originally published on the Huffington Post on May 3.

The convergence in the last 20 years of advancements in computer, cognitive & neuro-sciences has made game-changing educational programs a possibility. In the area of mathematics education, inventors can now see a path to give teachers powerful yet easy to use, radically different digital tools to get all students to be proficient in math and even algebra. The breakthroughs go beyond math for math’s sake, beyond proficiency on tests, to the fundamental purpose of math education for all students: every person possessing the powerful thinking, analytic and problem-solving skills that mathematical literacy promises. To put a number it, a 2011 Organisation for Economic Co-operation and Development study estimated that even modestly increased student math skills would add over $40 trillion to the U.S. economy over current students’ lifetimes.

But the K-12 education market is a poster child for unhealthy markets. Products are developed to politicized market specifications, which are far below their potential. Digital solutions from the past 30 years have not worked, so expectations are low. Curriculum is treated as a commodity, and not even evaluated. Not only do most educators not seriously expect teacher tools or content to make a game-changing difference, but K-12 purchasers are looking for approaches familiar to what they experienced in school. The market even lacks understanding of the indicators of program quality and effectiveness necessary to meet the market spec of standardized test success, so simple or secondary features hold sway instead.

In this market, I believe the leaders achieving radically higher educational goals are mission-driven, not-for-profit organizations. Non-profits, almost by definition, need support beyond current market forces. Visionary and savvy business social investments, though relatively small change to $1B businesses, can be and should be vital support for continuous invention and prove-out.

Many business leaders are looking to “help education” through their corporate social responsibility strategies. Unfortunately, based on my experience inside a non-profit education researcher and publisher, what most businesspeople will be looking for is just marginal improvement. There is an unconscious acceptance of the familiar, of “inch deep” learning rather than breakthrough deeper learning. There is a focus on increasing speed and reducing cost. There is a lack of appreciation for the vital role of the teacher.

So, for those visionary businesses and foundations interested in accelerating a quantum leap forward for all teachers and students in K-12 education outcomes (their future workforce/customers), I’d like to suggest that the following considerations are crucial:

1)  Look for non-profits pursuing radically different approaches. Digitizing existing content and approaches is just more of the same, even if ported onto a glossy-screened touch-tablet. People are actually inventing new learning tools, content and processes — like inventing powered flight. Real transformation is going to use teaching and learning models that seem and look and feel radically different from how you learned. Search for that.

2) Look for truly scalable approaches. These three questions will help you evaluate a program’s scalability:

i) Are they applicable to all teachers and students, from gifted to struggling to English learners?

ii) Are they aimed at the heart of the problem right now: at all schools and teachers and training processes as-is? Think Los Angeles, New York, Chicago, Houston and D.C. public schools?

Don’t just focus on and invest in the fringes of the school market, which will take years if ever to reach the majority of students in the community, and the nation. Each year, 4 million more children are passing through an untransformed pipeline.

iii) Can they scale up fast and without limit, driven ultimately by non-philanthropic funds? That is, do the economics of the solution enable eventual demand and resources from the main market, i.e. government public schools, to adopt, scale and sustain?

While some non-profits aimed at breakthrough transformation will be in the early stages of research and invention, you can also look for others with solid evidence that their program delivers results, and that there will be market demand and that it is economically scalable.

There are examples of businesses following all of these principles in their social investment in education. Corporate foundations, CEOs and chairs of Cisco, Broadcom, Emulex, Microsemi, PwC, Bank of America, Chevron and others  have come together to support a breakthrough math program using instructional software to tap students’ visual reasoning. You would not recognize math taught this way, it is that different.

The lowest performing elementary schools in Orange County were provided grants to launch this math program. Over 80% of those schools are now participating. A 45,000-student district serving predominantly economically disadvantaged English learners, Santa Ana Unified, went district-wide and closed its “achievement gap” with the California state average. And the targeted schools at a county-wide level are greatly outpacing similar schools in Academic Performance Index growth. The proven results have attracted district funding at over 1,000 additional sites. Over 500,000 students are being served, and scale-up is economical.

For any company interested in helping education, keep an eye out for the pioneering non-profits that fit this profile. Your social investment will then be poised to go beyond “help,” to transform and scale to millions.

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“There’s no achievement gap in videogames” – Quentin Lawson

I don’t want to learn how to play most videogames. By videogames I am thinking involved console games like Call of Duty, or MLB the Show. As a 50-something, that may not be surprising as I’m past the “shoot-em-up” or “race-car” ages (well maybe not real race cars). But truthfully, I would enjoy being able to give my my teenage sons a decent playing partner. The thing is, I know there would be a long and challenging learning curve. Because the learning is discovery/exploratory. And it’s not trivial or short, there is a lot to pick up. For me, it would be both mentally challenging and take significant amounts of time. And I already feel I have enough mental challenge-per-week to sink a battleship. I’m not looking for more. And I can’t afford to have significantly more time, or energy, sucked out of my days.

My point is: learning a console videogame like these is not easy, it takes focus, it takes effort, it takes mental agility, it takes perseverance, it takes time. Sorta like learning anything complex.

And here’s the point of this blog post: it would be ludicrous for anyone to propose that there’s an achievement gap for children to learn videogames. It would also be ludicrous to say that there is an engagement issue – at least for males with the games I mentioned. And it would be beyond incredible to say that kids have a lack of perseverance at solving the game’s problem scenarios.

I attribute this observation to Quentin Lawson, Executive Director of NABSE, the National Alliance of Black School Educators. I was demo’ing for him how all math concepts could be introduced a visual puzzles on a computer, which could be interacted with and animated to understand how to, for example, add fractions. He saw how this was like a videogame and, with young Black male students in mind, noted in an offhand way that “there’s no achievement gap in videogames,” so this could level the playing field. I have been quoting Quentin ever since.

Because how could anyone imagine that success for any child in learning any videogame could depend on:

  • their parents’ education level
  • their parents’ wealth
  • their neighborhood
  • the quality of their friends
  • how much their parents could “tutor” them on the game
  • their own success in school so far
  • the language they speak at home
  • or any other “subgroup” factor

It would be ludicrous; at the least I can’t imagine any such attributes being used by anyone as excuses why children couldn’t win at the game.

So, if productively engaging with challenging core content, like algebra, in a deep and mathematically rigorous way, that requires learner interaction and experiential learning, that starts easy and is gradually scaffolded, that develops problem-solving, perseverance, and confidence in ability to “win”, can be made into a videogame-like experience, then teachers can build-upon, cement and interconnect that mode of learning into deeper understanding and skills, without concern for any digital content achievement gap.

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Instructional Software: Just a Cleanup Activity after Ineffective Teaching??

How instructional software is positioned in the minds of many educators and others is outdated, and misleading.

The conventional model of instructional software (I am thinking “core” subject like mathematics) began, naturally, as a digital extension of conventional teaching. So: practice problems, read onscreen, with multiple choice answers, instant grading and perhaps with some gamification of scores. But if you didn’t “need” the “extra teaching,” you didn’t “need” the instructional software. So it was optional: for some students, some of the time.

There were two logical models for deciding for whom and when to use instructional software: use it for remedial students, or periodic diagnostic tests (eventually also online) for everyone, to determine which skills the student needed more practice in; then assign instructional software just for those specific skills. The metaphor is “filling the holes in the Swiss cheese.”

Implicit in those models was that some students did not need any instructional software: those who learned sufficiently from the standard, no-software-involved, teaching. The instructional software served a role of “cleaning-up” whatever gaps were left unfilled or incomplete after the normal teaching. By observation then,  the regular teaching on its own was ineffective in achieving the learning goal for some students some of the time. (The reason it was ineffective could include many things outside of the teacher’s control, of course.)

Despite the recent emergence of “blended learning” as a desirable future model of combining digital content with teacher & chalkboard learning, at present the preponderance of students still use zero instructional software in their studies. And frequently, even in 2013’s “state-of-the-art” blended learning examples, the role of the digital content is still essentially more practice, like a digitization of homework reps, albeit with intelligent sourcing of problems and with instant scoring.

Similarly, in many 2013 RFP’s the instructional software is specified for RTI tier 2 interventions for struggling students only. This means that not only do the RTI tier 1 “OK” students not need any digital component in the normal course of their learning, it’s not even seen as a way to prevent “OK” students from slipping into tier 2.

All of the above makes sense if you see the role of instructional software as just enabling “more.” More of what teachers ideally, technically “could,” but in the real world can’t, deliver because of the constraints of scarce time, and thus the impossibility of differentiating teaching to productively engage each learner and suit the pace of each learner. So the instructional software provides more time for those students and situations who just didn’t get enough time from conventional teaching.

But consider: more time for students has been tried, and tried, and doesn’t get game-changing results. By game-changing I mean ensuring that every student understands and gains content mastery and confidence in a subject – like math. If more of the same did work for challenging situations, then the mere, but very expensive, application of additional teacher time (double-block, repeated courses, pull-outs) would be shown to “fix” the problem. Which in math, certainly, it doesn’t — not at a scale and cost which can be universal and sustained (i.e. beyond a one-on-one tutorial). So instructional software’s role to give “more of the same” is not a fix.

This pigeon-holing of instructional software as for “clean up” is too limiting. If that’s your model, you wouldn’t even think of buying — or making — instructional software that has fundamental and vital value for every student. Fundamental and vital is how we view… textbooks. Lawsuits are filed and won to ensure that every student has a textbook. When the day comes that a lawsuit is filed, fought and won to ensure that every student has effective instructional software we will know that the pigeon-holing is over.

Here’s an analogy of this positioning problem to the world of exercise and health. It’s as if instructional software is seen as physical therapy, rather than as physical conditioning. It’s as if it’s just for those who are in some way injured, or chronically weak, rather than for everyone who wants to get in shape. You get diagnosed for your injury, perhaps a shoulder tweak, you do your therapy reps with rubber bands, and one happy day you’re healthy enough to quit doing the P.T., forever.

The future, additional role of instructional software is as a vital component of the learning environment, for every student and teacher. It’s like joining and then diligently using a gym’s facilities and moreover its trainers, motivation and social aspects. Properly designed and trained and supported, it’s a gym program that gets everyone more fit. No one gets to “test out”. No one gets to work “just on their weaknesses.”

And it’s not implicit that “ineffective teaching” is the raison d’etre for instructional software. This is turned completely inside-out: instructional software, in the hands of a teacher, makes teaching and learning more powerful and effective generally, throughout the school year: differentiating to reach every student (including the strongest), engaging and motivating each student at an appropriate level and pace, and providing multiple opportunities for the teacher to assess, diagnose, and consolidate student learning.

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Successful tool? 3 Signs of Impending Rapid Adoption

This post appeared originally on GettingSmart as a guest blog.

The future will bring amazingly better instructional content for teacher and student use. If the market notices key signs of this, then more effective, comprehensive content will be broadly and rapidly adopted, to the benefit of teaching and learning.  I believe there’s three signs the market should be looking for.

My optimism is based on a decade inside a digital content developer and publisher, focused on K-5 math, deployed in a blended in-school “rotation” model, and representing how math works with visual, dynamic interactive puzzles. You might think that developing early math content, like say place value, would be easy — but I can confirm that making high-quality, effective digital content for this “easy” subject is very, very hard. Most of what’s historically been out there just doesn’t cut it. But high-quality content is doable and more is coming.

So how can you tell what’s quality? Rather than trying to drill into intrinsic content and instructional design attributes, I’m going to pull way back and suggest an operational definition: What events in the market indicate high quality instructional content?

Here then are three signs to watch for:

1. Results show up on state standardized assessments. That is to say, teachers and students using the content in question outperform “business as usual.” Quality, effective content, with a feasible implementation process, that facilitates teachers to radically improve student learning will produce positive results, no matter what assessment is used. And the deeper the assessment, the better this signal is. I certainly hope the Common Core assessment consortia manage to go deeper as envisioned.

In other words, for high quality content there will be no need to shy away from state assessment yardsticks — to the contrary, success on those high stakes measures is a pre-requisite to broad, rapid scale-up in schools. Nothing that fails to move the needle on state assessments is going to cross the chasm into the main market. Note that to “take credit” for affecting end-of-course assessments, the content syllabus will have to cover a whole course or grade. Small stand-alone learning objects, like individual apps, can’t expect to move the needle on summative assessments.

2. Results show up repeatedly at scale starting in year one of implementation. Large-scale and district-wide deployments at 10 or more sites will in aggregate show significant and positive test results. This means that on average, results are being realized across varied groups of all teachers, and all their students. In other words, success stories will not be limited to single sites. Quality instructional tools will demonstrate relatively consistent results despite the wide real-world variability among teachers, students, and implementation. Results will be repeatable over multiple years, across student cohorts, and at a large number of sites.

3. Rapid scalability: The program design will enable straightforward implementation and earn an element of passionate teacher embrace. Both are vital to broad scale-up. In order to scale rapidly, use of the content will not require significant shake-up of existing school setups: it will work with the existing people, facilities, time and resources. The startup/sustaining cost all-in, including training time, will fit within instructional materials and professional development budgets and time. Put another way, to achieve broad reach and rapid scale-up, the program will show it can reach millions of students in just a few years, limited only by district decision-making.

So, please, let’s discount signs of “success” which are marketing hype, or this quarter’s popularity contest winners, until proven out. Let’s also not get confused crediting learning success mostly to platforms, or back-end features, or school structures. What is relevant to learning are of course the impactful moments of instructional interactions between student, content, and teacher – interactions that will become eminently more successful as better instructional content becomes available.

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What’s that in your Blender? 5 Key Factors of Digital Content

This is the first of I hope many guest blog posts for my friends at Getting Smart. About me: I’m observing the education market conversation from the perspective of a non-profit digital content publisher with a focus on math. I’ve had the luxury for the past 10 years of laser-focus on how to make what’s now known as “blended learning” work on just one subject area. While we’ve grown to serve over 450,000 students and 14,000 teachers, we’ve drilled down to a pretty deep perspective I would like to share.

What’s your main purpose for blended learning? Is it improving learning resources efficiency/cost and time/access? Or is it improving the learning itself? Much of the attention and excitement about blended learning is on the former, with time-and-motion descriptions of where the teacher, the student, and the computer exist during the day.

The addition of digital content to the mix of place and time is a rich area of innovation and practice. In 2012, the Innosight Institute’s Heather Staker and Michael B. Horn revised their pioneering taxonomy of blended learning, classifying blended learning implementations. The attributes include modality (digital or face-to-face), location (lab, class or home), time (fixed schedule/pace vs. fluid), and content (fixed or customized). The 11 derived types of blended learning are school-centric: labels are exemplified by specific school examples. Explanatory diagrams show physical layouts of computers, teachers and students. And from these diagrams the potential for raising efficiency in use of learning resources — clock time, student time, and teacher time — is readily apparent.

Yet as a digital content publisher, my organization is focused on the other potential for blended learning: dramatically improving the learning itself. I mean more comprehension and sense-making, better transfer of knowledge and higher retention of new information.

This requires us to add another perspective on what’s being blended, specifically on instructional interaction as described by Matthew M. Chingos and Russ Whitehurst in their recent report from the Brown Center on Education Policy. They succinctly remind us that where the rubber hits the road in learning is the student’s direct interaction with the teacher and/or instructional materials. The instructional materials used by the teacher greatly influence the teacher/student interaction. Here is where the digital ingredient in the blender can be a game-changer when it comes to the quality of learning. Curriculum is not a commodity; quality and efficacy of curriculum is highly variable. Chingos and Whitehurst dramatically point out the “scandalous lack of information” at all user-levels, as if the instructional materials used are irrelevant.

So, let me briefly introduce five key factors to consider for blended learning, from this learning-centric perspective of instructional interaction between teacher, student, and digital content.

Note that instructional interaction doesn’t “care” where or when it is. It’s about “what” it is. One modality is the student interacting directly with digital content (i.e. without the teacher). For web-delivered digital content, which I will assume, clock and location drop out of the picture – the interaction is the same whether the access is during or after school, in classroom or lab or home or library. Another modality is the student-to-teacher interaction, which could be either a conversation face-to-face during a scheduled time, or an ad hoc conversation over Skype. The point is the students and teachers are engaged in a conversation around learning, not the time or place.

Factor 1: By its 1:1 nature, student interaction with digital content is self-paced. Even essentially passive interactions like studying a digital textbook on a tablet or viewing a video on YouTube can be more valuable because they can be paused and reviewed by the student. Of course active interactions like games add an additional self-pace dimension of correctly solving a problem to proceed in the game.

Factor 2: Digital content can be much more than conventional-practice-on-a-computer of previously introduced procedures. It can be a way to introduce and explain concepts, whether in advance of, in parallel with, or even after they are introduced by a teacher. Yes, from my perspective of seeking better learning, there is always also a teacher ingredient in the mix. As Bob Wise, Alliance for Excellent Education President said at the SIIA Ed Tech Business Forum last November, to get better learning, “High Tech requires High Teach.”

Factor 3: Digital content can be highly interactive. Of course interactive means more than clicking a “next scene” arrow. Interaction means the student needs to respond to some problem-solving scenario, then see the results of her response. For example, that could be solving a math puzzle. Given appropriate strategy and quality of the digital content, this is a “minds-on” interaction about the academic subject matter, not just gameplay.

Factor 4: Digital content can provide immediate feedback. The quality of that feedback can vary widely. At the low end, but still a quantum improvement over text/paper/pencil, is the standard “red x” wrong or “green checkmark” right. At the high end, digital content can be used to provide immediate instructive feedback – an explicit explanation of why a solution was wrong, or why it was right. This instructive feedback facilitates a student’s learning (whether confirming a solution or showing what-to-correct) from each posed answer.

Factor 5: Digital content can provide an adaptive or custom sequence of learning objects for each individual. This can range from a beginning of year pre-assessment determining a grade-level syllabus, to real-time on-the-fly adjustment up or down of difficulty levels as needed, to longer term pattern recognition of student misconceptions, assigning specific corrective content.

Finally, consider this recently released IES report about math problem-solving. Aimed at curriculum developers as well as educators, its recommendations emphasize the teacher’s role in promoting deeper learning. I agree. A vital ingredient in the digital blender, to raise learning quality, is the teacher. The same content students are using 1:1 can inform and be used by the teacher, at the point of instructional interaction. The potential impact is enormous. As Chingos and Whitehurst say, “We can expect both theoretically and based on existing research that instructional materials either reduce the variability in performance across teachers, raise the overall performance level of the entire distribution of teachers, or both.”

Along with all the excitement and buzz around blended learning, to go beyond learning efficiencies, keep an eye out for game-changing aspects of digital content, for student and teacher use, to achieve deeper learning.

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Ixnay the Disruption: A Least Disruption Strategy to Scale Fast in Schools

Q: Which education startup (company with less than $10MM in funding / revenue) will be the most disruptive in the coming decade and why? (Quora.com post)
A: My vote for Least disruptive provider, and why least disruption is a strategy to Scale Fast in schools (disclosure: the shop I work at): MIND Research Institute. Least disruption: any district/site/teachers/students can weave a revolutionary program easily into the same pedestrian way they do business now (including videogaming by students). In other words, a program that can technically scale nationwide in a few years – governed only by district uptake.
Leverage point: the instructional materials teachers and students use. Instructional materials (old-school: textbooks) are teachers’ tools to help students achieve their objectives. Provide a vastly more powerful, highly engineered, modern tool (picture: swap out hand-saws for electric chain-saws at the urban tree farm) along with a systems-process for integrating and using that tool (picture: don’t forget recharging stations, safety training & goggles, saw maintenance). A revolutionary tool can:
  • be simple for teachers to learn to use, and, can deepen teacher’s content knowledge as they use it,
  • be universally accessible by and productive for any student;
  • enable immersively interactive experience-based learning (consider: what is happening at the moment the student is learning and how interactive is that moment),
  • ensure that students can not just cram and memorize meaningless, disconnected fact-trivia or monkey-typing-procedures.

So, given minimized system disruption, but the addition of an easy-to-use, powerful tool and simple process changes, the bulk of a slow-to-change market can change quickly. MIND Research makes supplemental K-pre-algebra digital math content for 1:1 and teacher direct instruction in schools, delivered thru workstation/tablet/whiteboard. The digital content is visual (no language at first) interactive animated math puzzles, videogames as courseware

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