A Pre-K Project

A Pre-K Project

Tonight I’m finishing up gathering supplies for the first day of what is always my most challenging, and most satisfying, school visit of the my teaching-artist season. I have been visiting schools in the Adirondacks for many years, but I have spent the most time in this one particular school. I get to work with nine grade levels, pre-K through 7th grade.  I need to create nine completely different projects, which will go from beginning to completion over six days, spread out through the month of March.

In the interest of finishing up the details, and getting to bed (last night, daylight savings time kicked in, so getting up tomorrow morning will be a challenge) I am going to list the nine projects for the nine grade levels, then I’m going to try to write about them over the course of the month.

Here goes.

PreK: the teachers asked that we do a project with the students’ names. We’ll thread beads and cover weight papers on to shoelace-tipped yarn, write a letter on one side of the card, and a picture which starts with that letter on the back. See photo above,

Kindergarten: Accordion Book with pockets, a variation of structure in the picture below.

An Accordion Book with Pockets for Kindergarten Sight Words

An Accordion Book with Pockets for Kindergarten Sight Words

First Grade:  A  folding triptych about Alaska and an  animal that lives in Alaska. Will include a pop-up, a pocket to hold research papers, and a poetry page. We’ll color the sky with Northern Lights.

Second Grade: A book that folds up like a valise, that has pockets within for a “passport,” a folding map, postcards, a boarding ticket, and little books with information about a country that the student is studying.

Third Grade: We’ll make a journal for the students to use however they want.

Fourth Grade: This is the class that will be making a Zero to One Fractions  book that I’ve been writing about

Fifth Grade: I still have some planning to do on this project, but it will likely be a social studies based project made from units of an Origami Base, which opens and closes in a dynamic way.

Sixth Grade: This group will use tabloid size papers, folded in half, and bound, in four separate sections, with large rubber bands. The students will use these with their English teacher, between now and the end of the year, as a memory catcher.

Seventh Grade: We’ll fold down and trim a large, 35″ x 23 ” paper into an 8.75″ x 5.75″ pamphlet, which students will sew, glue in to a hinge piece, add soft covers, and decorate. The book will go with them to their English class, for content to be added between now and the end of the school year.

I keep everything organized ( I hope) in a notebook that I can make in about five minutes, that looks like this.

How to Bind Loose Leaf Papers by Paula Beardell Krieg

Hopefully I will be posting all of these projects. But now it’s time to wrap things up for the night.

Envelope Number Line Book, Paula Beardell Krieg

Number Line Book, closed

I like the number line.

The number line is all about relationships: I can look at the number line and actually see and measure the chasm between two quantities, even when, as in the case of negatives, those quantities don’t even exist.

As an adult I’ve realized that I had some misconceptions about the number line, and I have discovered subtleties about it that surprise me.

envelope Number Line Book, Paula Beardell Krieg

Unpacking the Number LIne

I’ve been toying with number lines for quite a while. In my opinion the number line needs to be toyed with. The images that I see of it are not captivating. I’m wanting to rigorously play with this arrangement of symbols in way that captures some of its nuances. I intend to try to investigate numerous bookish solutions which means that I suspect that this topic will keep coming up.  I hope this will be an ongoing bookmaking/discovery journey. I’m not sure exactly where I will be going with this.

But I do know that a few nights ago , after a disappointing evening of cutting and folding, a way of proceeding finally presented itself, but I was too tired to grab hold of it. The inspiration teased me all night, and before 7 am the next  morning I was tending the coffee pot while working out my construction. I’m very pleased with how this particular structure worked out. It was so unexpected and delightful that I am excited to be sharing it.

Number Line Book, expanded, Paula Beardell Krieg

Number Line Book, expanded

It’s built from envelopes, the kind we think of as regular envelopes, though, technically, they are called “No. 6 3/4” envelopes.

Number Line,with negative numbers, Paula Beardell Krieg

Number Line, showing negative numbers too

Here’s are some of the things I like about this piece:

  • it’s a zig-zag
  • it has pockets
  • it scales
  • the structure suggests infinity since it can keep going in either direction
  • it can fold up into a polite accordion-like book.

The pockets are the most distinguishing feature of this number line. These pockets hold cards, which are printed with different sets, or sequences of numbers. This means that the labeling, or the scaling, of the line is always in flux, subject to the whims of whichever algorithm that’s called for.

Number LIne by 10's

Number LIne by 10’s

That’s the crux of it: the flux.

As students proceed through their grasp of numbers, the labeling of the number line constantly changes in scale as needed. Eventually the number gets integrated into the coordinate plane, and becomes the x-axis. I remember seeing the little graphs in math books, and I thought that when I got to grown-up math that the lines would get longer. It never occurred to me that it would be the scale that changed, not the size of the line.

Number LIne in Flux

Number LIne in Flux

You can see that there’s intermediate markings between the numbers. These can be interpreted differently depending on which scale is being used. For instance, when counting by tens, the small lines can be counted as ones, when the number line is increasing by one’s, the intermediate lines become tenths. In my mind, the point of doing this is to drive home the concept that the very same line can morph into whatever one needs it to be for the visuals of the relationship at hand. The maker becomes the master of the line.

Folded Number Line

Folded Number Line

Then the maker gets to fold up the number line into this accordion-like square. Just my style.

Over the next few days I will be working on designing a set of instructions on how to put this line together. It’s likely, however, that if you picked up some envelopes you ‘d  figure this out for yourself.

 Addendum Here’s the link to the tutorial: https://bookzoompa.wordpress.com/2014/11/03/the-envelope-number-line-tutorial/

Regular Hexagon

Regular Hexagon

One of my all-time favorite paper moments was when I learned how to fold a regular hexagon. Many times, with  protractor or compass in hand,  I had tried to draw hexagons, but  they never worked out just right. This post, which features a tutorial page, is something that I have been wanting to do for a long time, but I needed to stumble upon just the right random instant of blog time. Recently, while musing about life, the universe and everything, well it seemed like the right time to finally put these drawings and steps down on paper. After all, the six goes neatly into 42.

Paper Folding and the Regular Hexagon by Paula Krieg

Paper Folding and the Regular Hexagon

 

Now, if you go ahead and make a hexagon for yourself, which of course you will because who could possibly resist trying this, you might notice a few splendid things. Then again, you might not notice them, so I will point them out.  First, you will notice that a preliminary step towards hexagonism is that you create an equilateral triangle , which is just the first of the many perks of this activity. The second, most extraordinary flash will be when you realize that the intersection of the three folded lines within your triangle is actually the center of the triangle. The reason that this is so remarkable is that this intersection point in no way looks like it’s at the center of the triangle. It just looks wrong as a center, and you might not believe it. But when you bring the tips of the triangle in to meet the intersection, well, let’s just say you will believe. 

Silently folding a hexagon drawn by Paula Krieg

Silently folding a hexagon

Just for fun, I decided to include this set of directions, too, because, really, it’s a much more attractive page than the one with all the writing on it. And there are plenty of people who will try it out without reading a thing, so here you have it.

Now after you’ve noticed that you’ve made a big equilateral triangle, there are few more shapes to uncover.  First of all, there are all sorts of little equilateral triangles inside of the hexagon. And if you fold the hexagon in half, well, you will have made an isosceles trapezoid. Now, think back, when is the last time you actually held an isosceles trapezoid in your hands? Next, fold back a third of the trapezoid, and there you have a rhombus. And if you can’t remember what any of these shapes are it’s probably because you never learned to spell them. Really, what it is it with this terminology? Wouldn’t these all these shapes be more memorable if we called them lollipops or kiwis?

A special nod here to Christopher Danielson. math teacherblogger who recently had way too much fun using hexagons in his classroom, so I wanted to add something to the virtual hexagon mix. And I want to acknowledge Steve Morris,  who kept me thinking way too long about the edges and shape of the universe: I no long think that the universe is shaped like a hexagon. That was just silly. Now I think it’s the shape that’s made when hexagons and pentagons are fitted together, -but don’t be looking for a post about that. I think I need to get back to making books. Rectangular books.

Anticipating Spring In First Grade

Anticipating Spring In First Grade

One of the best parts of being a guest teaching artist in schools is the relationships that I have with the teachers that I work with. Most of the work that I do is with teachers that I have worked with before.  This means that year after year, as we get to know each other better, we can develop bookmaking projects that can dynamically align to the mandates of the curriculum.  Each year  the projects that I present generally are either repeat projects that are continually refined to serve the classroom needs better, or they are projects that are designed anew, to fit shifting interests of the teachers.

Proposal Sketches for a Healthy Snack Book

Proposal Sketches for a Healthy Snack Book

This past week I started a completely new project with Margo’ s second grade class. I have worked with Margo for years, but this is the first time that she is the primary teacher in the second grade. She said that she wanted to do some research with her students and that she wanted there to be a “global” feel to the project. After brainstorming a bit, we decided that we would reach for the global connection through the children’s snack bags.  Each day for a week the class logged their snacks and noted where they came from. Pineapple from Thailand, bananas from South America, celery from California, Mandarin oranges from Florida, via Chinese origins. We had the concept, then I had to come up with a design that would work in her classroom. What I came up with is illustrated in the drawing above: it includes a pop-up (the snack popping out of the lunch bag), a window to peek through at the habitat of the snack, and two pages for writing. We started the bookmaking yesterday. I look forward to posting images when the books are done!

Alaskan-Animals-book-Sketch

Alaskan-Animals-book-Sketch

Last year I worked with Mrs. Kavney’s first grade class, making a  Dinosaur  Diorama. I loved this project and was looking forward to repeating it. This year, however, Mrs. Kavney wanted the book to be more of this world. She worked up a spectacular unit on following the Iditarod in Alaska, incorporating geography, math, and science. She wanted to have our bookmaking project put another spin on this unit, and she had her eye on studying animals and habitat in Alaska.  She liked the Diorama book that we did last year, so I so I reworked the basic design. The animal is now central, a pocket is included that can  hold standard size paper, which will contain the sentences that the first graders will write about their animals, and there is an area to showcase a haiku that students will write. Of course I couldn’t resist the opportunity to somehow incorporate the Northern Lights…which, when I mentioned this to the students, they responded by telling me that these lights are also known as the aurora borealis. I am learning not to talk down to these students…This project was also started this week.  My next post will likely be on the aurora borealis part of the project, and I look forward to seeing how the rest of it goes.

Now, back to prepping.

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