Conversation: Differences Between Dance & Whole Body Movement

Starting the Conversation: Meaningful Movement and Math Learning

I had an interesting conversation on Twitter today with Christopher Danielson about body knowledge (Papert) in relation to mathematical knowing and learning. I've Storified it now but here's what showed up in my in box later in the day -- perfect timing, as they say.

Some thoughts before you watch:

1. This is the first dance/math video I've seen that I've not been grumpy after watching it. I think I also finally understood statistics. That being said...

2. Could these concepts be illustrated effectively in some other way, meaning without the moving human bodies?

3. What, if anything, have we learned about dance in the process of watching this video?

4. What, if anything, could be learned by turning this into a dance lesson?  Would we understand anything more or differently after creating a dance based on the ideas in this choreography?

5. Would the dancing make sense without the text on the screen before and after the dancing?  Would the math in the dancing make sense without the text?



If we are serious about using movement, or a specific dance form, in our math classrooms, I think it's worth thinking and talking about these kinds of questions. I'm not sure I have good answers for all of them, and I will weigh in, but I'm curious to hear your perceptions and thoughts first!

Friday (Video) Fun: This is How We Fly on RTE

The fabulous Nic Gareiss and the rest of This is How We Fly.  Feet visuals at around one minute in.  Enjoy!

OK Go....See This Amazing Video!

How much math can you find?  Ready, set....OK go! 

To Each its Own: Targeting My Professional Development Workshops

In the last couple months I've had whole bunches of fun presenting professional development workshops in a variety of settings, to a variety of people.  Let's see...math teachers from all over the U.S., PE teachers from across Indiana, classroom teachers from Indianapolis, fellow Teaching Artists from a variety of disciplines, and arts education administrators from Young Audiences affiliates from around the country. 

Each session bore the title 'Math in Your Feet' and was a combination of big picture information and hands-on experience, but that is where the similarity ended and my job got really interesting!

For the classroom teachers I started by focusing on the challenges of using movement in a classroom setting.  As they started to move and experiment with foot-based percussive patterns they became more comfortable and sure in their own movement.  This approach usually leads to a greater willingness to embrace, sometimes for the first time, the possibility of leading their own students in movement-based learning.  To some extent I am also encouraging them to have fun with math, many for the first time.  I consider the 'doing and making' of percussive dance patterns in this program the same as the 'doing and making' of math so, in every teacher workshop I do, I walk them step by step through the intersection where math and dance meet.  We're so used to focusing on the symbolic, static realm of mathematics that we don't always recognize when we see math happening in front of our eyes.  It helps to have a guide.

For the self-identified math teachers at the NCTM annual meeting I also started with a message of 'anyone can lead movement in the classroom and here are some tools' but then quickly moved toward 'here is an opportunity for your students to represent their math understanding in a new way within the kinesthetic realm'.  I also drew their attention to the fact that the processes of solving a problem in both math and dance (choreography) are often similar -- question, understand what tools it might take to answer the question, experiment with ideas, use your resources, find an answer that seems to work, evaluate and then ask more questions. 

The group of 80 or so PE teachers was a new one for me simply because there was not one bit of trepidation or reluctance to get up and move!  Not all of them were comfortable with the idea of dance, at least initially, but they were definitely game.  I was only with them for about an hour, and I couldn't go very deep, so I stuck with active modeling of the bridge between my particular brand of movement with an academic content area.  If I had had more time with them, I would have focused on the  process for moving the dance to the page -- speaking the words that describe aspects of our movement as we move, writing those words down, turning these words into symbols, and graphing foot positions on a coordinate grid.  I did the point that Math in Your Feet can be a collaboration between classroom and specials teachers, just like it is when I lead my residency.  The concrete movement and math activities can be done in PE or music class which then build the bridge to the formal, written, symbolic realm of math back in the regular classroom.

At their conference the arts education administrators were focusing on how to add the A in arts to STEM topics (STEM to STEAM).  I gave a general overview of the program and laid out my process for building the program and integrating the dance with the math.  The most important issue for me is that when you are thinking about integrating any art form with another content area you really need to be honest with yourself and ask 'is it a good fit?'  If the answer is no then it is not worth forcing the issue.  If you think 'maybe' then do a little more work to explore the connections.  In the end, though, the connections need to be more than skin deep.  Just because we count our beats in this program doesn't mean I consider that a good example of what math and dance have in common.  I also gave a similar account of how I combined math and dance to my fellow Teaching Artists.

My favorite moments while teaching teachers are when they ask me questions that show me they are imagining how they will do this work with their own students.  It's similar to house hunting, I suppose.  The minute you start imagining where you're going to put your furniture the realtor knows you might really be serious!  I love hearing all the different ways engaged and caring education professionals imagine tailoring my ideas for their own particular learning environments. 

Link: Resources for Integrating Dance with Curriculum

Hey y'all!  Look what I found this morning -- a beautiful and thoughtful blog from a dance specialist in the Seattle Public Schools. 

I really wanted to share because this is the real deal.  I don't know for sure, but I think many of my readers are curious about how dance and/or movement fit together with math, and maybe other subjects as well.  There's a lot to sort through out there in web-world, so I was excited to find this. 

Here's a great link from her blog with a list of resources for integrating dance with curriculum.  You might also like the big picture of her work here.

Math & Movement Lesson: Basketball Court Pathways

Ooooh, I just had an idea!  Last year I developed a preschool math/movement program by creating simple pathways through an empty space with different colored tape on the floor, and adding locomotor movements down the different paths.  Within a couple months the kids could follow more complex pathways using combinations of locomotor movements.
 

Look at all those lines!

I've been thinking recently that what I did with four year olds could be adapted for the K-2 set.  The problem is that putting down tape can take a long time.  However...

Most public schools and sports centers have a gym.  A gym with lines already on the floor.  Basketball court kinds of lines.  Lines that are straight and curved.  (It's hard to make curved lines with tape. Really hard.)  To take advantage of all these lines and all the open space, here's an idea to use with five-to-eight year olds that I came up with that merges an exploration of space with locomotor movements. 

The lesson, below, is definitely in the 'map is not the territory' category.  I've had the idea, I've based it on previous experience, I've mapped it out for you to try, but we won't know how it works until someone tries it out.  That's one of the reasons I am sharing this lesson, because I probably won't have a chance in the near future to try it out with kids and it seems like such an exciting idea!

The lesson is more like a whole unit of activities and you'll need to decide how to break it up into manageable chunks.  Also, since repetition is the key to learning, I encourage you to repeat a lesson until it's clear that everyone understands it physically and cognitively.  In even smaller chunks it could also serve as a movement break when needed in the course of a learning day. 

Finally, this lesson starts out looking a lot like dance, and it will build dance skills.  As you build those skills, the more math you'll be able to explore.  If you try out any aspect of this lesson I'd really love to hear how it went and if you have any suggestions or questions.  And, I'd love to hear from you because I'll have questions for you, too!  Leave a comment here or e-mail me at: malke (dot) rosenfeld (at) earthlink (dot) net! 

Basketball Court Pathways
©2010 Malke Rosenfeld, http://www.mathinyourfeet.blogspot.com/ and http://www.mathinyourfeet.com/
Users of this lesson have permission to share it with others with proper acknowledgement, copyright notice, and website links (as above).  If you want to share this lesson with forums, educational groups, wiki sites, etc. please consider sending me a message to let me know where you put it.  You can e-mail me at:  malke (dot) rosenfeld (at) earthlink (dot) com

LESSON OVERVIEW:
After exploring a variety of paths around a basketball court by following the lines, 5 to 8 year olds will:

• decide on a pathway that has a clear beginning, middle and end;
• create a pathway that includes both straight and curved lines as well as directional interest and some repetition;
• decide on two to three locomotor movements  (skip, hop, run, walk, slide, gallop, hop, leap, jump) to use while moving down the pathway and which part of the pathway gets what movement;
• map out the pathway on paper, including color coding and notating when and where to do their movements.

LEARNING GOALS:
Children will:

• Use intentional, meaningful movement to gain experience and competency with spatial relationships, a foundation for mathematics understanding; 
• Make creative choices about the length, shape, direction and design of the pathway;
• Express creative choices with appropriate math and dance terminology;
• Bring their kinesthetic experience to the symbolic realm on the page by creating a simple map of their dance; and, 
• When appropriate, integrate the concept of scale and coordinate systems when mapping the pathway. 

VOCABULARY:
Locomotor Movements: skip, hop, run, walk, slide, gallop, hop, leap, jump
Other Movements & Attributes: turn, smooth, sharp, slow, quick, big, small, long, short, high, low
Spatial/Directional Terms: left, right, on, around, curve, straight, forward, backward, corner, on, off, double, single, length (time and distance), intersecting lines


MOVEMENT ACTIVITIES:

1. Start by playing follow-the-leader around the gym to introduce kids to the different combinations of straight and curved pathway choices.  Start by walking on the lines -- as long as you stay on a line you're playing the 'game' right.  Model the idea of a starting and ending location by saying "We'll start at this corner, where should we finish our path?" and "Now we have finished this path, where should we start the next one?"
2. As you play this introductory game, start giving kids choices about which locomotor movements to use (skip, hop, run, walk, slide, gallop, hop, leap, jump).  You can stay in the lead or give kids turns taking the lead which will help keep the game fresh.  Spend as long as you like on this, and perhaps even repeat the activity a few times a week for a couple weeks.  You can vary this 'game' by giving different challenges such as:  'How slowly can we move this time?' or 'How smoothly can we move?' or 'When we turn a corner, let's make it a sharp turn!' or 'Let's make our movements big on the straight lines and small on the curved lines.'  Keep it playful!
3. After you're sure they have the 'follow the lines' concept, put on some music (examples below) and let the kids experiment with the lines to find their own pathways.  At this point it should just be about the path, not the movements. The goal is that eventually every person should have their own unique pathway.  After they've experimented for a couple minutes, have them 'freeze' and reinforce this goal as well as the... 
4. Rules of the Road: If they cross paths or eventually share part of a pathway with another child, challenge them to be 'good drivers' and share the road.  Also, remind them that they need: a starting point and an ending point, to use at least 1/4 of the gym, and to include repetition (for example, two trips around a circle, or double back down a line).
5. Let them work for two minutes then gather them in a group and see who wants to share their work.  Ideally, pick a kid who looks like s/he already has a pathway and is able to repeat it.  Get a couple kids to show first then send everyone back out to finalize a pathway they can repeat the same way every time. 
6. Make sure every kid gets to show his or her pathway before moving on.  Use this time to give feedback; you'll want to make evaluative comments like "The lines you've chosen are all straight lines.  I wonder what it would look like if you added a curved line to your path?" or anything else you've noticed about their work.  Because this is a creative activity, there is no completely wrong answer/path, just decisions to make.  So, try to pose questions that will help the child become conscious of the decisions s/he is making.  When everyone has shared their work, this may be a good time to stop the lesson for the day.  Or, it may be a good time to go directly to the Mapping Activities section and complete Activity #1.
7. Once everyone has a pathway, take some time away from the paths to review basic locomotor movements by saying, "Who knows what a gallop looks like?  Who would like to show me what a gallop looks like?  That's right, one foot in front of the other!"  Have one child at a time illustrate the different locomotor movements, naming each one as you go.  This is essentially a mini-lesson focusing on locomotor movements where kids get a chance to practice their locomotor movement skills by follow one of the lines on the court instead of a more complicated pathway.  That's a good way to assess where their skills are at.  You can never do too much of this kind of cross-lateral movement, which is why this is good for a movement break as well as a dance/math lesson.
8. By now, you should have decided on your own pathway too.  The next step is to add locomotor movements to the pathways, so model for them what you are going to do with your path.  The best bet is to have one choice of movement per line and then change to a different movement when the line changes (straight to curved, or after you turn a corner.)
9. Some final reminders for the pathways: turn all corners sharply, and find smoother movements for moving on the curved lines, which will enhance the attributes of a curve. 

MAPPING ACTIVITIES:

1. Have kids review their pathways.  Using black marker, pen or pencil, have them draw their pathway as best they can on a piece of unlined paper.
2. Make a little key of the movements used while traveling the pathway.  Write the moves down (i.e. skip, run, hop) and assign a color to each move.
3. Redraw the pathway on a second piece of paper, this time using the assigned colors to create each section of the pathway.  An alternative would be to color the existing black-lined map using the assigned colors.   
4. If you think it would work (7 or 8 year olds) have the kids trade maps and see if they can recreate the other person's pathway.

EXTENDING THE ACTIVITY:
Remember, the movement itself is furthering spatial understanding and this experience (up through the mapping, above) may be enough for five to eight year olds.  However, if you think your kids are ready, here are some additional suggestions to further the exploration of math concepts:

1. Have the kids assign a certain number of skips, hops, gallops, etc. to each section of their pathway.  Make sure it can be danced first, and then transfer to the page.
2. Measure the space and the length of the lines and then create a scale drawing/map of the pathway.
3. Using the measurements of the space (above), create a scaled-down version of the pathway using an x and y coordinate grid.  The intersection of x and y would be oriented to the center of the space your path runs through.

To further the movement/rhythm concepts (some of which turn out to be math related!) try these suggestions:

1. Develop beat competency.  Using one of the music selections below, work on moving 'to the beat' while moving on the pathway.
2. Basic phrasing.  Each line segment in the pathway will have a certain length which can accommodate a certain number of steps.  Kids can figure out how many hops they can do on the line before getting to the corner or the start of the curve and then mark that on their map.  Which brings up another point...
3. How many small hops on the line?  How many if you do your hops bigger?  An issue of scale, I suppose.  Lots of experimentation and questions (from you and the kids) along with a 'let's try it' kind of attitude can bring out some amazing math connections that none of us know are there yet!  Let me know what you find out!

MUSIC SUGGESTIONS:
This music is essentially for background color during the creative work.  Dancing to the beat is a whole other ball of wax, so please just start out using the music as inspiration for the creative work time.  That being said, you can spend some parts of your dancing time just on locomotor movements, and that would be a good time to work on dancing to/with the beat.

Artist/Album/Song -- all on iTunes
Chiwoniso/Rebel Woman/Listen to the Breeze (Modern African)
Vishten/Live/Figeac (Traditional Canadian)
Solas/Sunny Spells/paddy taylor's (Traditional Irish)