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Showing posts from 2016

Student Engagement & Learning - Connected to Teaching Intentionality

I read an article this morning from Nira Dale  entitled "Why Instructional Design Must Focus on Learning Outcomes, Not Learning Activities" . While the article was focused on edtech tools and making sure the games, devices and activities used to engage students also focused on learning goals, the message actually pertains to all education activities, whether technology is involved or not. It reminded me of when I was working in Virginia Beach, where the whole district was working with creating lessons using the Understanding By Design framework from Jay McTighe and Grant Wiggins.  The key message, that I have continued to utilize in all my work, is that engaging activities for the sake of having a 'fun' thing to do with students does NOT enhance student learning unless the activity chosen connects directly to the learning goals and desired student outcomes. Seems obvious of course - but, you would be surprised at how many teachers create wonderful, fun, engaging exp

Lifelong Learning - It's About Finding Pathways and New Adventures

Wow - can't believe I haven't posted since May.  Crazy.  Of course, I do post weekly on my other blog, so I am going to plead busy!! It has been busy these last few months.  I have been doing some very diverse things, all related to math education. It's one of the benefits of going out on my own and being "independent" - I get to try new things and do a variety of math and technology related activities which keeps me interested and on my toes.  Here's just a few things I have been doing since May: 1) Working for Casio - so blogging, Tweeting , Facebooking and doing research on technology, BYOD, testing etc. 2) Working for the Dana Center at UT, Texas and DoDEA (Department of Defense Education Activities) as an International Fellow supporting their adoption of College and Career Ready Standards. I went to Austin, Tx for some training and just got back from England, doing training at LakenHeath Air Force Base.  Such a marvelous experience! Heading to

Poor Math Questions and Misunderstandings

My daughter sent me this article, Parents are Freaking Out Because They Can't Answer a 7-year Olds Exam Question,  the other day concerning a Twitter posting about a math problem that was frustrating students, parents, and lots of people on Twitter obviously. Here's the problem: The issue is there are two answers that could be correct: 65, if you use the 'work backwards' method, subtracting out the 17 that just got on from the 63 and then adding back the 19 that got off.  The other answer is 46, which results from simply subtracting out the 17 that just got on from the 63 currently on the train.  The teachers exam rubric/'test key" stated the correct answer as 46.  Hence - all the confusion, because that would mean the 19 was an unneeded number. The real problem here, and it is NOT an isolated situation, is that this question is very poorly worded, and thus open to both interpretations. The work-backwards approach assumes that the question is asking

Algorithms and Losing Control

On my way to the gym this morning I listened to yet another story on NPR about the FBI/Apple controversy surrounding accessing the iPhone of the San Bernardino terrorists. Quick synopsis - Apple refused, FBI found a 3rd party who was able to create their own algorithm to hack into the phone, FBI dropped case against Apple. But - everyone is worried.  Will the FBI share this code-breaking algorithm with other law enforcement? Will we all be vulnerable now to some outside person accessing the privacy of our smartphones?! Legal issues aside, what I find interesting is the fact that an algorithm unlocked the information. Or algorithms created the 'locked phone' in the first place. As a math person, it's always  fascinating to think about how algorithms create so much of what is around us, and while I don't understand it myself, there are people out there who do.  People who can create a code to break into a locked phone. Or an algorithm to pick stocks or predict weather

Common Core is NOT the same as Standardized Testing

I have read a couple articles of late that have kind of pissed me off.  Mainly because they perpetuate the ideas that 1) The Common Core State Standards are handed down from the Federal Government, and 2) that the CCSS are the driving force behind Standardized Testing.  While there are connections, both claims are a complete disservice to the purpose behind and the reason for The Common Core State Standards. And they completely ignore the fact that Standardized Testing is actually controlled by testing companies and publishing companies. I've already posted on this before - " What People Think Is Common Core ISN'T"  and "Common Core, It's NOT the Devil"   so I apologize now for being repetitive. One article I read last night, entitled " What's the largest number you can represent with 3 digits? Nope. It's not 999."   is a great article. I agree with everything the author said and applaud his sticking by his daughter, the second teache

What is the "Math Path" We Should Encourage Students to Take?

I read this article the other day by Dana Goldstein , "Down with Algebra II!" , which describes professor Andrew Hackers views on mathematics, and how the push for STEM, higher math like Algebra II, is actually creating a the failure and dropout rates we are seeing because it is pushing students into mathematics that is not necessary for their future endeavors and "destroying a tremendous amount of talent". The math requirements in high school and college are "highly irrational". And then my friend sent me the same exact article via Facebook and asked my opinion. (This is what happens when your friends know you are a math person!). So - what is my opinion? I have to say, I completely agree with Andrew Hacker. In fact - I have written about it before a few times: Math Curriculum - What should we be teaching?;  Financial Literacy - Real-world math, REALLY ; Let's teach probability & Statistics - We need it!   Don't get me wrong - I think Al

Sketchpad & TinkerPlots - Still Out There, Still Awesome!

NCTM is coming up in April and is in San Francisco, which has me very excited because I get to have a Key Curriculum reunion (i.e. my colleagues from my years working for Key Curriculum mostly live in the SF area).  It's hard to describe the amazing connection those of us who worked with Key, (Keysters, as we fondly refer to ourselves) have, and I have yet to find another place or another group of people that I so deeply connect to on both a professional and personal level. With this math conference and potential to see so many of my former colleagues, I have been a bit nostalgic about some of the things I loved from Key - i.e. Sketchpad and TinkerPlots to name a couple.  Sketchpad , now owned by McGraw-Hill, is still around thank goodness, but without the support and push in math education it deserves.  Thankfully, some former Key folks are still out there making a difference with Sketchpad - check out Daniel Scher and Scott Steketee's most recent article in The Mathematics

OER Commons - A Good Place for Common Core Aligned Resources

There are a lot of Open Educational Resources out there, which is exciting if you are a teacher, as you can find myriad of lessons and ideas.  The big issue with OER is of course the quality of what you find, does it really align to your instructional goals, and naturally, do you have the time to search through possibly hundreds of resources to find that perfect fit. In my recent work, I have been exploring The OER Commons website, which is a digital library and network of Open Educational Resources. It allows you to search, with a search feature that really lets you refine down to exactly what you are looking for - whether that be full lesson plans, videos, full units of study, online courses, etc. You can also review and comment on resources, which is a nice feedback feature that allows for others to gain from those who have used a resource. You can create your own content to share or link to others and collaborate. Fig 1 What I particularly like, as a certified Common Core

Parlez Vous HTML? Coding as a Foreign Language

Yes, there is some thinking-differently going on, at least in Florida. There is a bill in the Florida House of Representatives to make in-person and virtual computer-science classes count as Foreign Language credits towards graduation.  THAT. IS. AWESOME! I am all for changing the way we teach and what we teach and where we teach in this country. I would love for us to break out of our traditional classrooms of desks in rows and teachers as sages, and let students have more choice in subjects they, and have more options of courses.  For example, not every student needs calculus, but EVERYONE needs Personal Finance - and yet, it is not an option in most school districts, or if it is, it is often an add on. (See my previous posts on Financial Literacy if interested....1)  Math Curriculum - What Should We Be Teaching 2)  Financial Literacy - Bring It Back to School!  and  3) Financial Literacy -  Real-World Math, Really! ) Math itself is a foreign language, so the idea to make co

Libraries, BookBots and Algorithms

I was listening to NPR this morning, as usual, during my workout. The Pulse did their entire hour on the Rebirth of the Library .   As an avid reader, this was of great interest to me. I love books. I have a crazy collection of books, all down in my basement now since I live in a tiny house with little room for my shelves and shelves of books. But - I don't have the heart to get rid of them, and I do reread them - it's like coming home to old friends.In fact, I just reread over the holidays The Lord of the Rings Trilogy (an annual tradition)...which can only be done correctly with a the actual book that allows me to flip back to the maps a million times. NPR's many stories related to the library included many things about how libraries of today are still relevant, and how many libraries are changing. I would suggest reading/listening to the different stories. The one that really sparked my mathematical interest however was the one by Peter Crimmins entitled Will BookBo