Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Wednesday, September 26, 2012

Lecture, Direct-Instruction or Talk - There's the Confusion!

In yesterday's weekly #edchat Twitter collaboration the discussion focused on the flipped classroom, where, naturally, there was quite a bit of debate around the idea of video lectures. What became apparent was the many different interpretations of the term 'lecture'. This came to the forefront for me when I offered up the idea of TED Talks as one option for learning rather than a teacher's video lecture, and someone said "TED talks are just lectures, so how is that better?"

This stumped me as I have never thought of a TED talk as a lecture, which is funny, because now, forced to think about it, I guess they could be construed as lectures, depending on your definition. Which of course has led me to this post!  Obviously, my perception of a lecture is not the same as others.

What is MY definition of a lecture?

Perhaps it's my many years of being both a student and a teacher, but for me a 'lecture' has rather negative connotations, as I envision a lecture as someone standing at the front of the room giving out information and facts that are to be written down, learned and/or memorized.  When I think lecture, I think teacher/person talking, students/people listening (or sleeping) and absorbing the information, whether that be through just listening or taking notes.  Little interaction/engagement or back-and-forth. As a student, this is what I remember most from my high school and early college days (and thankfully not so much the case in my current doctoral studies which are much more collaborative).  Think huge lecture halls with a professor talking at us.  Lecturing. Spewing information that at some point we need to regurgitate. In my mind, a lecture is a stand-and-deliver form of imparting information. Sit and get, as we say, and not terribly engaging.

Lecture is often misconstrued with direct-instruction. My definition of direct-instruction is also someone with the "knowledge" giving out information, but I think perhaps the difference might be that direct-instruction involves more how-to type information.  Many lectures involve direct-instruction components, but I do think you can have direct-instruction that is not a lecture.  For example, in math, a teacher can use direct-instruction to show the steps in solving an equation, which would not be a lecture by my definition. But, you could be lecturing on what an equation is and the different types of equations, and then show the how-to of solving an equation, which I then would construe as a lecture with direct-instruction. (Neither of which I think is a great way to teach math, by the way).

Now, back to a TED Talk.  I think that right there sums up what I see these as - talks.  Not lectures, not direct-instruction, but talks.  Which, while very similar to a lecture, also very different in my book.  A talk imparts knowledge and information but interweaves that knowledge and information with stories or contextual applications and connections. A talk makes a concerted effort to engage the audience/students.  Engagement, whether through questioning and interacting with the audience/students or simply by providing visuals or real-world applications and examples or models, is to me the difference between a lecture and a talk. There are plenty of teachers who talk to, and with, their students rather than lecture at them and to me, that makes a world of difference in learning.

Here are examples of what I am defining as lecture, direct-instruction, and talks.  Which one would you be more engaged by?

Lecture (this is LONG...but the first few minutes will give you the idea):

 

Direct Instruction:

 

Talk:



Of course, this is all my own personal take on the differences between lectures, direct-instruction and talks. In the context of the #edchat discussion yesterday about the flipped classroom, my point was that I believe there is too much reliance on video lectures and direct-instruction videos. If you are going to use the power of technology to flip your classroom, then go beyond the traditional methods of teaching and look at all possible online resources, such as TED talks, or real-world stories (see mathalicious.com for one example of this).  It's NOT the videos that make flipped classrooms effective, it's the engagement, collaboration, discovery, ownership and ability to explore anything, anyway, anytime and then come back together in the classroom to share, discuss, and learn together. So - no more lectures and direct-instruction. Start talking!

Wednesday, September 12, 2012

The Daily Show and Math

I apologize for the lack of posts of late - I have had a slightly crazy, busy life of late and have not had the time or motivation.  I have been working on my dissertation proposal and defense, which, I will admit is causing me much angst and frustration.  I definitely understand why many folks who get to the ABD (all but dissertation) phase of a doctorate quit.  It is time consuming, especially when working full time and traveling every week for work, not to mention having a family to take care of.  I can't tell you how many times it crosses my mind to stop doing this.  But then, I remember, I am not a quitter. I have come this far, and need to keep going and see this through till the end. What kind of role model would that be for my daughters if I quit so close to the end? So...persevere I must, even if it causes me sleepless nights, crying fits, and little free time!

But, I digress.  I do feel guilty about the fact I have not posted something for over a week now, but, as I mentioned above, I have not been motivated, or maybe I should say, I haven't been inspired. Too tired! But, I do remember getting a flash of inspiration while watching The Daily Show with Jon Stewart last week.  I love that show - always good for a giggle and a "I can't believe they said that" reaction.  I was really pleased to see his 'math' comparison from the two political conventions. Hilarious. This is what I want to share today in my post - some humor and some math. As a math educator, it scares me to hear and see all these statistics bandied about with little fact or understanding behind them, and I hope that math educators are using these opportunities to help their students understand the use and misuse of math in the real-world.

So - enjoy.  Fast forward to 2:35 to get to the section about math.  As Jon says "Math. Numbers. Facts. Oh, I never thought I'd say this, but I have missed you so much math!"



The Daily Show with Jon StewartMon - Thurs 11p / 10c
Hope and Change 2 - Bill Clinton's Math
www.thedailyshow.com
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Saturday, August 4, 2012

An Educational Journey

I found out on Wednesday that the math company I work for, Key Curriculum, had been acquired by McGraw-Hill Education. In the span of less than an hour I went from Key employee to McGraw-Hill employee.  Needless to say, it's been quite a week!

In the world of math education and publishing, this acquisition is a big deal. Key Curriculum has long been seen as a maverick in math education, representing inquiry math with their Discovering Mathematics textbook series (now a part of Kendall Hunt Publishing), Integrated Math Program and of course, amazing dynamic mathematics software, Sketchpad, TinkerPlots and Fathom. Employees and authors of Key are known for their authenticity, with those working directly with textbooks, software and training being former classroom math teachers.

However, this acquisition appears, to some, to represent Key selling out to "the man" or the big bad corporate world, as if somehow the quality and authentic mathematical content and teaching practices that Key represents will now be gone. I received several responses to my personal announcement to the consultants and moderators that work for me asking  if I was really okay with the change, or if I was already towing the company line and had to say this is a good move for Key.

I am not towing the company line.  Heck, I don't even know what the company line is yet!

I truly believe this acquisition is going to be a great thing for Key Curriculum (we will keep the brand name), the software and products we take with us, the people who are going forward with McGraw-Hill, as well as  math education and education in general. Sounds lofty, I know. Perhaps the the best way to explain my feelings about the future with McGraw-Hill is to take you on my personal educational journey.

I started teaching middle school mathematics in 1989. Despite a first year where I was a floating teacher (i.e. no classroom), teaching large classes with the 'toughest' population (typical for new teachers), and getting both sexually harassed by one student and hit by another, I stuck with it because I was determined to be a great teacher. I wanted students to LOVE math because I did. When the chance came along to join a special middle school math masters program under the direction of Dr. John Van DeWalle  and Dr. Ena Gross, focused on inquiry math teaching and student-centered learning, I signed on right away. My teaching changed dramatically during the three years I was in the program, focusing on using collaboration, hands-on manipulatives,and  real-world applications. It is here where I first discovered Key books and resources and began using these in all my classes. With the push of John and Ena, I also began sharing things I was doing at local math conferences, then state math conferences and eventually, the national math conferences.

Let's admit it - I became addicted to creating new and interesting ways to teach math and even more addicted to sharing what I was learning with others - in my school, in my district, and around the country. Why wouldn't EVERYONE want to teach math in an inquiry, hands-on way where students were engaged? My mission led me on a typical path in education leadership - I became a math department chair and a district professional development presenter, even as I moved to different school districts and cities. I saw each step up as a way to expose more teachers to great mathematics resources and teaching strategies and as a result, inspire more students to love math. I eventually ended up as a district math specialist, supporting over 200 secondary math teachers through modeling, coaching and providing professional development.

In this 17 year journey, I was constantly looking for new ideas and resources to bring to my teaching, which is how I of course discovered all things Key Curriculum.  The Discovering Mathematics Series for Algebra and Geometry became my bible, Sketchpad became my daily technology tool and I did whatever I could to use these and other hands-on resources with my students in all the middle schools and high schools I taught and supervised.  Let's face it - it was a love affair with Key.

During my time as a district leader, I started a doctorate program in education technology. I am fascinated by the ability of technology to enhance and expand students understanding, not just in mathematics, but in any subject.  As always, my goals were to reach even MORE teachers and, in turn, more students. These goals were always on my mind, so when two years into my district leadership and doctorate work I was given the opportunity to join Key Curriculum as their professional development coordinator, I jumped at the chance. Work with the products I love, spread the joy of these products to teachers around the country, and work with amazing educators? You bet!!

(I have to admit, as a certified Key groupie (math teachers will totally relate to this), meeting the folks at Key was a little like meeting the Rolling Stones or Coldplay.  Rockstars!)

My time with Key has been an amazing journey.  Being on the other side of the publishing world, the provider vs. the receiver, was an eye opening experience. It's a tough business out there, and competing against much larger companies with a lot more money and resources was really hard. Convincing a textbook committee that Discovering Mathematics was the best choice for their students in a 20 minute presentation against much larger companies with many more resources is something I had to do on a regular basis and it was like going into battle every time.  Really tough. But, I, and all of Key's employees, believed in our products, which is what spurred me on every time. But, last year, when we sold our textbooks to Kendall Hunt publishing, and our company became a much smaller (around 42 employees) company focused on our dynamic mathematics software, I have to admit, I breathed a sigh of relief. 

The books were going to a company with the resources to bring them to a wider audience, so good for the books and good for Key. As someone in education technology, I realize the future is going digital and so Key's move to focus just on our technology was music to my ears.  And it's been a fun year - a crazy year, with changing our name, getting a new website up and going, and working with a smaller staff where everyone was doing the job of about five people, but a fun year.

I love technology. I love the possibilities that technology brings to education. In my doctorate program, I have focused on how to help teachers of any subject integrate all kinds of technology (social media, podcasts, software, etc.) into their teaching. The goal is to help them engage students in learning and expand learning opportunities. Having a year to really focus on Key's amazing software and share the joy of learning mathematics with expansive tools has been a blast. But - Key is small.  And while we have great ideas about what we want to do to improve our technology, create new technology (like our iPad app, Sketchpad Explorer), enhance STEM education, and provide quality support and professional development to teachers through online courses, free resources, and webinars, we are limited.

We are 42 people. Eventually, you reach a point where you need help to keep your vision and goals moving forward. This is that point. The acquisition of Key by McGraw-Hill Education is, in my opinion, a partnership and helping hand. In my research of my new company, I find they are just like Key, with many former teachers who work towards trying to get great teaching resources and teaching strategies out there so students can learn more and learn better. Granted, they are much, much bigger than Key. After meeting several of the folks I will be working with, I am hopeful because I sense in them and in the company overall, the same goals that have guided me for 22 years of education: the desire to make teaching better so students love learning.

So, I am ready to start the next adventure in my career. To my friends, colleagues, fellow math teachers, education leaders, and other Key groupies who question whether this is a good move, I say yes. I do truly think the McGraw-Hill/Key venture is a great thing. Key's entire existence has been based on creating engaging mathematics curriculum and resources for students to learn math and support teachers. My entire career has been about learning ways to improve teaching and student learning and share those with educators. I think with a much bigger company and a lot more people working towards those same goals, there will be more opportunities to make the impact we've been striving for all these many years. How can that be a bad thing?

Am I sad?  Absolutely - my Key family is splitting up.  But many of my friends and colleagues are joining in this next phase, so that's some comfort. Am I worried? Maybe a little. Am I scared? Heck yes!  My future has suddenly become a little shaky and unclear. But, I am hopeful.  I am excited. And I am ready to face the challenge. This is change, and change is hard, but if we don't try to change, how can we expect anything to be different or better? I for one am striving for better and this is the next step in that process. Onward.....