Bad bargain: Why we still ask kids to factor polynomials and how we fix it — from gettingsmart.com by Tom Vander Ark

Excerpt:

OK, we cut a bad deal 20 years ago and it’s time to fix it.

Kids are still factoring polynomials and that’s just dumb. Requiring every student to pass a course on regurgitated symbol manipulation (Algebra 2) is torturous for many students and why some dropout. It’s an inequitable barrier to college and careers.

“The tragedy of high school math,” said venture investor and education advocate Ted Dintersmith (who has a Ph.D. in math modeling), “is that less than 20% of adults ever use algebra. No adult in America still does integrals and derivatives by hand – the calculus that blocks so many from career paths. It remains in the curriculum because it’s easy to test, not important to learn.”

Math educator Dan Meyer told the We’re Doing It All Wrong Podcast that algebra 2 is “arcane gibberish…not useful knowledge”…

Now, rather than the plug and crank of symbol manipulation, we should be teaching computational thinking. As mathematician Conrad Wolfram said, we should be teaching math as if computers existed.

Rather than a separate symbol language, Wolfram argues, math should be taught as computational thinking and integrated across the curriculum. That starts with problem finding–spotting big tough problems worth working on. Next comes understanding the problems and valuables associated–that’s algebraic reasoning. But rather than focusing on computation (including factoring those nasty polynomials), students should be building data sets and using computers to do what they’re good at–calculations.

To fix the problem, states that require Algebra 2 should swap it out for a course in coding and computational thinking. Colleges and college entrance exams should drop Algebra 2 requirements. They should start by asking young people about their contributions to solving big problems.

 

From DSC:
This posting reminded me that, just the other day, I took the picture below…it’s outside a local mall. The annotated picture below gives you some of my thoughts on this ridiculous setup. 

 

Are some of our educational systems setup like this stop sign outside an abandoned, old store that's no longer being used?!

 

 

 

Cambridge library installation gives readers control of their sensory space — from cambridge.wickedlocal.com by Hannah Schoenbaum

Excerpts:

A luminous igloo-shaped structure in the front room of the Cambridge Public Library beckoned curious library visitors during the snowy first weekend of March, inviting them to explore a space engineered for everyone, yet uniquely their own.

Called “Alterspace” and developed by Harvard’s metaLAB and Library Innovation Lab, this experiment in adaptive architecture granted the individual control over the sensory elements in his or her space. A user enters the LED-illuminated dome to find headphones, chairs and an iPad on a library cart, which displays six modes: Relax, Read, Meditate, Focus, Create and W3!Rd.

From the cool blues and greens of Relax mode to a rainbow overload of excitement in the W3!Rd mode, Alterspace is engineered to transform its lights, sounds and colors into the ideal environment for a particular action.

 

 

From DSC:
This brings me back to the question/reflection…in the future, will students using VR headsets be able to study by a brook? An ocean? In a very quiet library (i.e., the headset would come with solid noise cancellation capabilities build into it)?  This type of room/capability would really be helpful for our daughter…who is easily distracted and doesn’t like noise.

 

 

Huge study finds professors’ attitudes affect students’ grades — and it’s doubly true for minority students. — from arstechnica.com by Scott Johnson

Excerpt:

Instead, the researchers think the data suggests that—in any number of small ways—instructors who think their students’ intelligence is fixed don’t keep their students as motivated, and perhaps don’t focus as much on teaching techniques that can encourage growth. And while this affects all students, it seems to have an extra impact on underrepresented minority students.

The good news, the researchers say, is that instructors can be persuaded to adopt more of a growth mindset in their teaching through a little education of their own. That small attitude adjustment could make them a more effective teacher, to the significant benefit of a large number of students.

 

Along these lines, also see:

 


 

 

 

Jennifer Gonzalez on the Aerodynamics of Exceptional Schools | SXSW EDU

 

Using arts education to help other lessons stick — from nytimes.com by Perri Klass
The arts can be a source of joy in a child’s day, and also come in handy for memorizing times tables.

Excerpts:

Arts education in schools has introduced many children to great painters and great music, and helped them through their first dance steps or tentative musical endeavors. It can serve as a bright spot in the schoolchild’s day or week, a class that brings in beauty, color and joy, and which is not about testing.

These subjects are often under threat either from budget cuts or from the inexorable demands of academic testing and “accountability,” but insights from neuroscience suggest that arts education can play additional important roles in how children learn.

Arts education encompasses many disciplines: “I’m talking about everything from music, drama, dance, design, visual arts,” Dr. Sowden said. And the goal goes beyond the specific subjects, he said: “You’re looking for opportunities in the arts education context to encourage children to ask questions, to use their imaginations, but also to approach their work in a systematic, disciplined way.”

 

 

Math Visuals — from mathvisuals.wordpress.com

Examples:

 

 

 

 

 
 

The information below is from Deb Molfetta, Outreach Coordinator at EdDPrograms.org


EdDPrograms.org helps educators and administrators research doctoral education opportunities. Their organization’s work in education began in 2008 with projects ranging from a new teacher survival guide to their own teacher education scholarship program. More recently they realized that there weren’t any websites dedicated to professional development through Doctor of Education (EdD) programs, which is why they created their own – EdDPrograms.org. It covers a lot of ground, but here are a few sections they think administrators will appreciate:

EdDPrograms.org is owned and operated by a group that has been creating post-secondary education resources since 2008. According to Deb, they have a history of providing students with objective, fact-based resources.

 

 

 

Is Teaching an Art or a Science? New Book Takes a Fresh Look at ‘How Humans Learn.’ — from edsurge.com by Jeff Young

Excerpts:

Eyler: That is the perennial question. We actually wrote a post for our Teaching Center’s blog with that title, “Is teaching an art or a science?” It has by far been read more than any other blog post that we’ve written.

My answer might be a little unfulfilling because I think it’s actually both. I think there is a scientific element to teaching. The book is about understanding the science of how we learn, how learning has evolved over time, and the social interactions that shape teaching. And the best teachers also often approach teaching and teaching issues scientifically. They have a hypothesis of what they think will help students learn, and they’re going to test it out and then learn from it and revise.

But if we focus too much on the science, we lose the human element of teaching—what I think of as the art of teaching.

What’s the thing that surprised you most in your research or putting this book together?

Much of what surprised me most makes up a lot of the final chapter, which is on failure. As teachers, we don’t get trained to think of failure as a positive thing in any way, even though as researchers we know that failure is a part of the learning process. No one walks into a lab right away and comes up with the Nobel Prize-winning discovery. It’s an iterative cycle.

We have these educational systems that are set up to move in exactly the opposite way. We give students really high-stakes assignments and assessments with very few opportunities to do them.

 

 

 

 

From DSC:
For anyone out there who thinks that teaching and learning is easy and who agrees with the uninformed saying that goes “Those who can’t do…teach”…might I recommend a few potential to-do’s for you to try out…?

  1. Try teaching 30-35 students yourself for at least 4-6 weeks about a topic that you just found out that you’ll be teaching and one that you don’t know much about. (And see if you enjoy the process that some teachers sometimes have to go through…putting down the tracks right in front of the trains that are rapidly moving down the tracks right behind them.) Also, you must have at least one student in your class who requires an Individualized Education Program (IEP) as well as 4-5 students who constantly cause trouble and who don’t want to be in school at all.
    .
  2. Identify each student’s strengths, weaknesses, and learning preferences — and their Zone of Proximal Development — then customize the learning that each of your 30-35 learners receives (with the goal of keeping each student moving forward at their most appropriate pace, while staying encouraged and yet appropriately challenged).
    .
  3. Attend Individualized Education Program (IEP) meetings and work with other IEP team members to significantly contribute to the appropriate student’s (or students’) teaching and learning environment(s). For a real challenge, at least one of those students will be someone who is struggling, but is very much hanging in there — someone who is “right in the middle of the pack,” so to speak. (My guess is that if you did this, you would never think of teaching, nor teachers, nor other specialists in quite the same way again. My guess is that you would develop a whole new appreciation for how complex teaching and learning really is.)

Regarding that last item about at least one of your students requiring an IEP, here are some questions that might come up:

  • What specialized services are needed this year?
  • What do the teachers need to know about this student’s cognitive processing/executive functioning?
  • How has the student been doing with the specialized services and teaching and learning strategies that have been attempted since the last IEP meeting? 
  • If their scores are going down, how are you going to address that issue (especially given limited resources)?
  • How is the student’s motivation level doing? Is attending school still a positive experience? Or are things starting to become negative and/or downright painful for the student? Are they starting to get bummed out about having to come to school?
  • How are they relating with and collaborating with other students? If poorly, how are you going to address that issue? How are you going to handle group-related projects (especially after reading all of those articles that assert which skills the workplace values these days)?
  • What do you do with grades and assessments? Do you treat the student differently and give them higher grades to keep them encouraged? But if you do that, will your school system back you up on that or will someone come down hard on you for doing that? Or, perhaps you will find yourself struggling internally — trying to figure out what grades are really for and wondering if they are helpful in the first place. In fact, you might find yourself wondering if grades aren’t really just a mechanism for ranking and comparing individuals, schools, and even entire school systems (which, as we know, impacts property values)? 
  • What do grades really produce — game players or (lifelong) learners? It won’t surprise you to know that I would argue that the former is what gets “produced.”  Grades don’t really produce as many learners as they do game-players (i.e., students who know the minimum amount of work that they need to do and still get that all important A).

So, as you can hopefully see here, learning is messy. It’s rarely black and white…there’s a lot of gray out there and a lot of things to consider. It’s not a one-size fits all. And teaching others well is certainly NOT easy to do! 

RELEVANT IDEAS:

While I’m thinking about related ideas here…wouldn’t it be great if EVERY. SINGLE. STUDENT. could have their own IEP and their own TEAM of specialists — people who care about their learning?

What if each student could have their own cloud-based learner profile — a portion of which would be a series of VoiceThreads per student, per period of time (or per mastering a particular topic or area)?  Such VoiceThreads could include multimedia-based comments, insights, and recommendations for how the student is doing and how they best learn. Through the years, those teams of people — people who care about that student’s learning — could help that student identify their:

  • strengths
  • weaknesses
  • passions/interests
  • their optimal learning strategies and preferences
  • potential careers

The students could periodically review such feedback.

 

 

For every single student, we could build a history of feedback, helpful suggestions, 
and recommendations via audio, video, text, graphics, etc.

 

 

Online curricula helps teachers tackle AI in the classroom — from educationdive.com by Lauren Barack

Dive Brief:

  • Schools may already use some form of artificial intelligence (AI), but hardly any have curricula designed to teach K-12 students how it works and how to use it, wrote EdSurge. However, organizations such as the International Society for Technology in Education (ISTE) are developing their own sets of lessons that teachers can take to their classrooms.
  • Members of “AI for K-12” — an initiative co-sponsored by the Association for the Advancement of Artificial Intelligence and the Computer Science Teachers Association — wrote in a paper that an AI curriculum should address five basic ideas:
    • Computers use sensors to understand what goes on around them.
    • Computers can learn from data.
    • With this data, computers can create models for reasoning.
    • While computers are smart, it’s hard for them to understand people’s emotions, intentions and natural languages, making interactions less comfortable.
    • AI can be a beneficial tool, but it can also harm society.
  • These kinds of lessons are already at play among groups including the Boys and Girls Club of Western Pennsylvania, which has been using a program from online AI curriculum site ReadyAI. The education company lent its AI-in-a-Box kit, which normally sells for $3,000, to the group so it could teach these concepts.

 

AI curriculum is coming for K-12 at last. What will it include? — from edsurge.com by Danielle Dreilinger

Excerpt:

Artificial intelligence powers Amazon’s recommendations engine, Google Translate and Siri, for example. But few U.S. elementary and secondary schools teach the subject, maybe because there are so few curricula available for students. Members of the “AI for K-12” work group wrote in a recent Association for the Advancement of Artificial Intelligence white paper that “unlike the general subject of computing, when it comes to AI, there is little guidance for teaching at the K-12 level.”

But that’s starting to change. Among other advances, ISTE and AI4All are developing separate curricula with support from General Motors and Google, respectively, according to the white paper. Lead author Dave Touretzky of Carnegie Mellon has developed his own curriculum, Calypso. It’s part of the “AI-in-a-Box” kit, which is being used by more than a dozen community groups and school systems, including Carter’s class.

 

 

 

 

The Lesson You Never Got Taught in School: How to Learn! — from bigthink.com by Simon Oxenham (from 2/15/13)
Psychological Science in the Public Interest evaluated ten techniques for improving learning, ranging from mnemonics to highlighting and came to some surprising conclusions.

 

Excerpts:

Practice Testing (Rating = High)
This is where things get interesting; testing is often seen as a necessary evil of education. Traditionally, testing consists of rare but massively important ‘high stakes’ assessments. There is however, an extensive literature demonstrating the benefits of testing for learning – but importantly, it does not seem necessary that testing is in the format of ‘high stakes’ assessments. All testing including ‘low stakes’ practice testing seems to result in benefits. Unlike many of the other techniques mentioned, the benefits of practice testing are not modest – studies have found that a practice test can double free recall!

Distributed Practice (Rating = High)
Have you ever wondered whether it is best to do your studying in large chunks or divide your studying over a period of time? Research has found that the optimal level of distribution of sessions for learning is 10-20% of the length of time that something needs to be remembered. So if you want to remember something for a year you should study at least every month, if you want to remember something for five years you should space your learning every six to twelve months. If you want to remember something for a week you should space your learning 12-24 hours apart. It does seem however that the distributed-practice effect may work best when processing information deeply – so for best results you might want to try a distributed practice and self-testing combo.

 

Also see:

 

 

 

 

Per Willingham (emphasis DSC):

  • Rereading is a terribly ineffective strategy. The best strategy–by far — is to self-test — which is the 9th most popular strategy out of 11 in this study.  Self-testing leads to better memory even compared to concept mapping (Karpicke & Blunt, 2011).

 

Three Takeaways from Becoming An Effective Learner:

  • Boser says that the idea that people have different learning styles, such as visual learning or verbal learning, has little scientific evidence to support it.
  • According to Boser, teachers and parents should praise their kids’ ability and effort, instead of telling them they’re smart. “When we tell people they are smart, we give them… a ‘fixed mindset,’” says Boser.
  • If you are learning piano – or anything, really – the best way to learn is to practice different composers’ work. “Mixing up your practices is far more effective,” says Boser.

 

Cumulative exams aren’t the same as spacing and interleaving. Here’s why. — from  retrievalpractice.org

Excerpts (emphasis DSC):

Our recommendations to make cumulative exams more powerful with small tweaks for you and your students:

  • Cumulative exams are good, but encourage even more spacing and discourage cramming with cumulative mini-quizzes throughout the semester, not just as an end-of-semester exam.
  • Be sure that cumulative mini-quizzes, activities, and exams include similar concepts that require careful discrimination from students, not simply related topics.
  • Make sure you are using spacing and interleaving as learning strategies and instructional strategies throughout the semester, not simply as part of assessments and cumulative exams.

Bottom line: Just because an exam is cumulative does not mean it automatically involves spacing or interleaving. Be mindful of relationships across exam content, as well as whether students are spacing their study throughout the semester or simply cramming before an exam – cumulative or otherwise.

 


From DSC:
We, like The Learning Scientists encourages us to do and even provides their own posters, should have posters with these tips on them throughout every single school and library in the country. The posters each have a different practice such as:

  • Spaced practice
  • Retrieval practice
  • Elaboration
  • Interleaving
  • Concrete examples
  • Dual coding

That said, I could see how all of that information could/would be overwhelming to some students and/or the more technical terms could bore them or fly over their heads. So perhaps we could boil down the information to feature excerpts from the top sections only that put the concepts into easier to digest words such as:

  • Practice bringing information to mind
  • Switch between ideas while you study
  • Combine words and visuals
  • Etc. 

 

Learn how to study using these practices

 

 

Executive Function Deficits Determine Student Achievement — from thejournal.com by Sara Friedman
A new report finds the achievement gap tends to widen with students having academic difficulties in math and science starting in kindergarten.

Excerpt:

Difficulties in math and science learning in the early grades can have lasting consequences for students who have impairments in executive functions, according to a new report from Penn State researchers published in the Early Childhood Quarterly journal. The research looks back at executive functions related to working memory, cognitive flexibility and inhibitory control to determine when problems begin in early STEM education.

The study analyzes data from 11,010 students who participated in the U.S. Department of Education’s National Center for Education Statistics Early Childhood Education Study, which measures childhood development, school readiness and early childhood experiences. The report data comes from students who started kindergarten in the 2010-2011 school year through the spring of third grade.

 

From DSC:
One of our daughters has issues involving executive functioning…we’re told that she has to work twice as hard as the other students to process the information coming at her. Thus, mini breaks are really helpful for her. For example, if she can walk something to the office, that’s really beneficial for her.

 

 
Per Jon Bergmann:
We now know exactly what we need to do to effectively reach every student, so we are kicking off 2019 with a new series to help you reflect on each element daily.
The series is called Do This, Not That.” In less than 90 seconds daily, we’ll cover one of the elements in the Global Elements of Effective Flipped Learning and point to things you’ll want to start doing, stop doing, or continue doing to reach every student in every class every day.

 

 

The series as of today includes these videos/topics:

#1 Explain How – Global Elements of Effective Flipped Learning (2019)

#2 Microconversations – Global Elements of Effective Flipped Learning 2019

#3 Embracing Failure in Education – Global Elements of Effective Flipped Learning (2019)

#4 Choice of Utilization- Global Elements of Effective Flipped Learning (2019)

#5 Differentiation – Global Elements of Effective Flipped Learning (2019)

#6 Use Bloom’s Taxonomy to Plan – Global Elements of Effective Flipped Learning (2019)

#7 Barriers to Change – Global Elements of Effective Flipped Learning (2019)

#8 Chunk Media – Global Elements of Effective Flipped Learning (2019)

#9 Appropriate Media – Global Elements of Effective Flipped Learning 2019

#10 Big Ideas – Global Elements of Effective Flipped Learning (2019)

 

 

Addendum on 1/21/19:

 

 

 

‘Is it ever OK to lecture?’ — from chronicle.com by David Gooblar

Excerpts:

All of which leaves many newcomers to teaching — and some classroom veterans — wondering: Can’t instructors just lecture sometimes? Can’t we ever just tell students what we know?

Of course we can, but it’s important to know what telling is good for — and what it’s not. If we can better understand the problem with relying too much on lecturing — or “continuous exposition by the teacher,” as Derek Bruff, director of Vanderbilt University’s teaching center, called it — then we can better situate lectures within a mix of teaching practices.

When to “tell,” and when not to.

Telling is an excellent method of communicating specific information, and there are plenty of occasions when our students need specific information. To communicate important facts, to illustrate a concept with a story of its application, to explain the historical origins of a conflict, you can take the easiest route from A to B and just tell (i.e., lecture) your students.

What telling is not good for: teaching students complex ideas, conceptual knowledge, or difficult skills.

It’s also true that the best students — ones who have developed good note-taking skills — can learn quite a lot from a lecture. But to reach more than just the best students, we need to do more than just tell the class information and expect everyone to understand and put it to use.

 

A short lecture on those very topics will be that much more effective after students first try to solve the puzzle on their own. Naïve tasks work well because they reveal to students the gaps in their knowledge — gaps that your lecture can fill. 

 

Or take a page from the naïve-tasks concept and have students attempt the quiz before the lecture, thus revealing to them all that they don’t know. Then give students a chance to change their answers as they learn from your lecture.

 
© 2024 | Daniel Christian