Showing posts with label logic. Show all posts
Showing posts with label logic. Show all posts

Friday, December 22, 2023

Homeschool Time Fillers That Aren't Busy Work (Even for High Schoolers!)

My high schooler would be horrified to know this, but I do sometimes assign her work that's more of a time-filler than it is a substantive assignment.

Sometimes, it's because she has a busy week and I want to keep her on schedule but not add to her stress.

Sometimes, it's because *I* have a busy week and I want to keep her on schedule but not add to *my* stress.

Sometimes we've finished up a big unit of study but it's not the perfect time to start the next one, or one of us isn't feeling 100%, or we've got an appointment or some other thing that would interrupt her flow, but I still want her learning that day.

Essentially, time fillers work well for all those times and gaps when you want your student doing something educational, but you also want it to be low-stakes for both of you. The student is using her mind but not wracking her brain, and YOU don't have to review, edit, correct, or evaluate!

Here's some of my favorites from my collection of high school-level time fillers that are educational but low-stakes:

Board Games

Sometimes teenagers just need a break from book work and screen work. Reading textbooks and solving problems and filling in answers is also just one limited, specific type of learning, so I don't like that to be all my high schooler does for school all day. 

We don't have a formal logic study currently, but logical thinking is an extremely beneficial skill, so I encourage a lot of logic games that I file as math enrichment. We play word games, association games, and creativity games for English credit, and historical games like Senet, Mancala, and Go for history/geography credit. Occasionally, I'll even find a game that we can play in my high schooler's target language.

Here are some of my favorites:


We've got some made-up games that we can play anywhere, as well, most notably the Wikipedia Game and Dictionary Definitions, and once in a blue moon I'll go to the trouble of downloading and printing an online-sourced game like Phylo, especially if it fits into a niche in a subject that we're studying. 

Documentaries

I already see the public library as my personal streaming service, so it doesn't feel like a big deal for me to do a quick catalog search whenever I'm planning the next few weeks' studies and just go ahead and request any documentaries that are on-topic and look interesting.

Documentaries about a topic of study build depth and context, and now that we're all such ipad babies, focusing on a piece of content for a whopping one hour really is something that we need to do every so often to stay in practice!

My immediate go-tos for documentaries are anything PBS, National Geographic, or BBC. Independent films and documentaries produced by news publications are also good, but I usually avoid anything else you might find on cable (TLC is most definitely NOT!) as being less in-depth than I want for a high schooler. The teenager and I are currently in the middle of a two-part PBS special on uranium, which I'm counting as enrichment for her Honors Chemistry study, but here are some other documentaries we've watched for high school:


Although they aren't quite documentaries, there are also a ton of lectures, presentations, and streams available on YouTube. Q&A sessions give me secondhand cringe, so we don't watch that part, meaning that the actual run-time is shorter than listed. This is also a good place to find performances that enhance liberal arts or language studies; my homeschoolers and I have watched lots of plays on YouTube, and lots of TV shows performed in whatever target language they're studying at that time:


Podcasts

We listen to a lot of audiobooks for the teenager's English credits, mostly while she works on her studio art and I do a handicraft and we chat. I don't want to give up that precious stitch-and-bitch time even when we're not burning through a 14-hour tome, though, so in between books I'll often fill in that space with a podcast. 

You can usually find a dozen different podcast episodes on any topic, so it's not hard to find something that fits into the teenager's current studies, but vetting new ones to see if they're good or if they're trash can take some time. We've also got favorite podcasts that are educational without necessarily being on-topic; here are a few:

 

Puzzles and Solitaire Games

We loooove our puzzles, with my teenager spending as much time working sudokus as my partner and I spend working crossword puzzles. Just in the last year or so the teenager seems to have mostly grown out of (or just mostly completed!) all of our in-house hands-on logic puzzles, but here are some of the favorites that she particularly enjoyed from childhood through the first couple of years of high school:



These days, if I want to assign her a short time-filler puzzle that's something fun, I'll have her do the daily Wordle, Murdle, or Set online. All three update daily, so there's always a new puzzle!

Process-Oriented Projects

I think that sensorial knowledge is still important to continue building, even into these older kid years. It's also important to continue building one's creativity and to remain comfortable with play, experimentation, and the concept of doing something simply to experience the process. 

To encourage my teenager to stay creative and experimental, I'll sometimes surprise her with an assignment like finding a new cookie recipe to bake, or creating a sticker design based on something we've been studying, or flipping through a stack of books I got from the library with her in mind, etc. Basically, I just want to stretch her out of her comfort zone of what she normally likes to bake or draw or read. Or maybe I'm just craving cookies but don't want to make them for myself! 

The art/math combo is my favorite focal point for building sensorial knowledge and experimenting with process. Over her high school years, the teenager has been compiling a portfolio of geometric art, and adding to it is a great way to bake some low-stakes math enrichment into the school week. Making things like mandalas, polyominoes, and tesselations put sensorial math knowledge into use, and build on geometry process that she's learned. 

Also, I'm obsessed with the spirograph!

In the lead-up to a holiday, there are all kinds of sneakily educational, mathematically sophisticated holiday crafts to create. There's a lot of beautiful math involved in wire-wrapping beads to make stars, or folding precisely symmetrical paper ornaments, or stitching felt mandalas or snowflakes. 

When there's not a holiday on the horizon, sometimes we'll just do something random like check out an origami or paper airplane book, or buy ourselves a DIY kit and decide to learn how to crochet. I'm currently low-key obsessed with a friendship bracelet loom that I made out of corrugated cardboard, so there's a lot of weaving going on around here.

As we move into the Spring semester of the teenager's Senior year, I can't decide if we're going to be doing more of these types of assignments, or less. On the one hand, I'm not opposed to ending one's high school career with a whimper rather than a bang, so as the teenager starts to finish her last units of study one-by-one, I don't want to necessarily replace them with equal amounts of puzzles and documentaries. But on the other hand, I do think that most of us need a goodly amount of productive work most days, so I definitely don't want a teenager to finish up all her learning and then sit around on my couch for several months actively not learning, ahem. 

Perhaps I'll see if there's a larger, more culminating-type project that the teenager would be interested in working on during those increasingly free school hours further into Spring? Or perhaps we'll get very, VERY good at crochet!

P.S. Want to follow along with my craft projects, books I'm reading, homeschool projects, road trips, and other various adventures on the daily? Find me on my Craft Knife Facebook page!

Saturday, November 4, 2023

DIY Corrugated Cardboard Tower of Hanoi

 

This tutorial was originally published on Crafting a Green World.

Tower of Hanoi is a super simple, surprisingly fun logic game suitable for early elementary through adults.


I have a weakness for solitaire games, especially logic puzzles. I’ve built up a respectable collection thanks to thrift stores and yard sales, but there’s always room for one more puzzle in my life, especially one that’s NOT made from plastic!

This Tower of Hanoi is NOT made from plastic! Instead, it’s made from that likely-looking piece of corrugated cardboard hanging out there in your recycling bin. Cut it up, add some decorations, and you’ll have yourself a brand-new version of a 140-year-old logic game.

Here’s everything that you’ll need to DIY your own Tower of Hanoi:

  • corrugated cardboard. Since the pieces are manipulatives, I prefer the thicker, sturdier corrugated cardboard over the thinner kind for this project.
  • measuring and cutting tools. You’ll need circles of varying diameters to use as templates for your Tower of Hanoi pieces. Look around, and I bet you can scavenge these circles from your existing bottles, cups, caps, etc.
  • embellishment supplies (optional). You don’t *need* to embellish the pieces, but since when did that stop anyone from making something pretty?

Step 1: Measure and cut the pieces.


You can play Tower of Hanoi with three or more pieces, but I think seven or eight pieces are a good total number to have. You can always subtract pieces from a larger set to make a round easier!

To make the complete puzzle look like a lovely tower, select circle templates with different diameters, ideally ones that will give a nice graduated look from smallest to largest when you stack them. As you can see from the above photo, you should be able to find all of these circle templates around your house. My smallest circle template is an eensy SodaStream flavoring bottle cap, and my largest is the top of a plastic drink cup from my favorite pizza place–I also used the bottom of the cup to make a different circle!

Trace all the circles onto corrugated cardboard, then cut them out by hand with sturdy scissors.

If you like the way the undecorated Tower of Hanoi looks, you’re done! However, I think the game looks a LOT cuter with some embellishment…

Step 2: Decorate the pieces.


With seven pieces to my puzzle, how could I NOT make a rainbow?

One of the many amazing things about corrugated cardboard is that it takes all kinds of embellishment like an absolute dream. I painted these circles with Liquitex acrylics, but Sharpies or even Crayola markers all show up well. Use Mod Podge to decoupage scrapbook paper, or paint plus paint pens to make more detailed artworks on these tiny canvases.

Step 3: Play!


The rules of Tower of Hanoi are simple:

  1. Start with the tower stacked with the circles in descending order, smallest to largest.
  2. You have three total spaces in which you can work, and you start with the stacked tower sitting on one space. Younger players might benefit from having a play mat on which you’ve drawn out three spaces for them, but it’s unnecessary for older players.
  3. The objective of the game is to reassemble the tower on another space. The reassembled tower must again be stacked with the circles in descending order, smallest to largest.
  4. You may move one circle at a time between any of the three spaces.
  5. You may NOT stack a circle on top of a circle that is smaller than it. Circles can only be put on empty spaces or stacked on top of circles that are larger than them.




The above photos illustrate a few different moves in the game. I don’t want to give you too many moves so that I don’t spoil your fun, but you can see from the photos the three working spaces, and the circles that are placed on a space or on top of a larger circle.

Remember that you can’t move an entire stack of circles at once–you can move only one circle at a time!

If you want to see the game in action, check out this online playable version.

If you’re a mathy kind of person, there IS a mathematical solution, and a pattern, to this puzzle. Figuring out how to record your moves is also a great introduction to analog coding, for those of you interested in STEM enrichment.

Want to give someone you love a sneakily educational gift? A beautifully embellished Tower of Hanoi inside a lovely little carrying case is just the thing!

Know a kid who’s high-energy and always seems to need more gross motor activity? Upscale this to a giant 3D version that they have to use their whole bodies to stack! Exercising their brain will make them just as tired as exercising their body, so you might even get a full night’s sleep!

P.S. Want to follow along with my craft projects, books I'm reading, dog-walking mishaps, encounters with Chainsaw Helicopters, and other various adventures on the daily? Find me on my Craft Knife Facebook page!

Thursday, February 16, 2023

So Many Cooks in the Kitchen: All the Ways We've Homeschooled with Educational Cooking Projects

King cakes from scratch!

 As I was writing the other day about my kid's experiences with baking throughout her childhood, I got interested in trying to remember what-all we actually had cooked together as part of her homeschool education. 

Spoiler alert: it's been quite a lot!

Projects like these have been such a part of the pattern of our days that I couldn't remember off-hand more than a few notable ones: the cookie map of Ancient Egypt. The cookie Solar System. Mason jar butter. Experimenting with yeast.

Fortunately, THIS is why I've been a blogger for 15-odd years--it's so I don't have to lose my precious memories because of my terrible memory!

I had SO much fun going through my blog archives to find all the times we incorporated a specific cooking project into our homeschool. I didn't count the times that we did stuff solely for fun (even though that's all educational, too!), like our cookie bake-offs and our dyed rainbow waffles and cupcakes, or the food that we made together just as part of life, like yogurt popsicles and applesauce and endless DIY pizzas and quick breads. In this master post, I'm just counting specific projects that we did that were for specific topics of study. I wish I could go back and do them all over again with those magical little kids!

ART


  • sculpture: bread sculptures. Bread dough is edible clay! It's also interesting to kids to see the transformation in their sculpture that comes from baking the bread. Of course, bread dough is just one more interesting sculpture medium that all kids should be exposed to, along with all kinds of clays and papier mache and anything combined with a good hot glue gun. You could also incorporate bread sculptures into subjects like math and literacy, sculpting bread dough snakes into shapes and letters and baking them into breadsticks. 

GEOGRAPHY


  • Japan: homemade mochi ice cream. Try making your own awesome Japanese treat! Cooking and tasting Japanese cuisine is a great way to build context in a kid who loves anime and manga. If kids are interested, the library usually has kid-friendly cookbooks of Japanese cuisine, and I feel like most places have Japanese restaurants. It's a great segue into a study of Japanese culture. 

  • local geography: locavore food prep challenge. Kids learn first-hand about the local food movement and what foods are grown and currently being harvested in their location as they collect ingredients and make a dish consisting entirely of local foods. If kids are really interested in local foods, you can spend spring through fall visiting every u-pick farm in driving distance, and look for places like independent dairies, local breweries, honey farms, and other local food providers who offer tours and workshops. Learning how to preserve those food products is a great next step! You can do also similar cooking challenges anywhere--collect ingredients and make a fun meal at an Asian or Mexican grocery; set a budget for kids to shop for a meal at the grocery store and then cook it independently; find all the Fair Trade items, etc. Even younger kids can play by finding foods with specific colors or something new they want to taste or something that starts with a certain letter, etc.

  • New Orleans, Rio de Janeiro, Venice: king cake. Mardi Gras/Carnival is a great time to dip into a geography unit study of New Orleans, Rio de Janeiro, and/or Venice. Not only is there the local cuisine of each area, but also the local music, the costumes, the dances, the parades--so much for every sense! If kids love that kind of thing, there are all kinds of nation- and region-specific holidays you can explore throughout the year to build geography and cultural knowledge. If kids just like baking, you can actually learn quite a lot of American history just through baking cakes!

  • map skills: cookie map. This is one of my favorite homeschool projects to do with young children. We've made cookie maps of every place imaginable, from the United States as an Independence Day project to various countries that we've studied to places that illustrate historical events. Kids can use frosting and candies to embellish the map and add features, and can make flag labels out of paper and toothpicks. The possibilities are endless! 


  • Taiwan: bubble tea. If your kid is into bubble tea, this could be the first restaurant-quality food that they learn to cook at home, because it's a SUPER accessible recipe. It fits great into a unit study of Taiwan or the entire continent of Asia, or expand the geographic interest by making or tasting special drinks from all over the world while studying those places. Take it in a new direction with more exploration of the mathematics of spheres or the science of polymers. Boba is also another preschool-friendly sensory material, although it's a choking hazard for under-threes. 

HISTORY


  • Ancient Mesopotamia: Gingerbread Cuneiform. See what it's like to write cuneiform... and then see how delicious it is to eat it! Other great Ancient Mesopotamia enrichment activities could include building models of a ziggurat or the Temple of Ishtar and listening to The Epic of Gilgamesh. Take the gingerbread cuneiform in a different direction by having a kid use the stylus to draw maps or diagrams or spelling words, or premake a gingerbread moveable alphabet to practice word building.

  • Neolithic Great Britain: gingerbread Stonehenge on a cookie cake. Kids get their hands on this Neolithic henge monument by building it in gingerbread on a cookie cake base. This one is mostly just for fun, so it would be a good thing to make as a little celebration when finishing up the relevant unit study. It also almost certainly ties into ancient astronomy, so you have a ready segue into the history of science. Gingerbread is also just a great structural material, so you could have a go at building pretty much any architectural creation with it--how fun would a gingerbread Eiffel Tower or Egyptian Pyramid be for Christmas-time?!?

  • Ancient Greece: cookie and Jello map. Here's your assurance from me that your kids' cooking project does not have to look perfect, or even attractive... or even not gross. I think this cookie and Jello map of Ancient Greece that the kids made looks SO gross, but they put a ton of research into it, worked really hard on it, and learned what I wanted them to learn. And they said it was delicious! 

  • pioneer studies: Mason jar butter. You'll probably come to this project inspired by reading Little House in the Big Woods or visiting a living history museum. It's an especially good activity when it's miserable outside, because it gets little bodies moving and occupies them for quite a while--and then you can have a snack! Contextualize the activity by visiting a humane dairy farm or getting a 4-H kid to let you milk their cow, or doing other living history projects. It pairs well with the picture book Fry Bread, which also includes a cooking project!

LANGUAGE AND LITERATURE


  • J.R.R. Tolkien: Lord of the Rings feast. Themed dinner and movie nights are my absolute favorite thing! After we read each of the books in the Lord of the Rings trilogy together (Matt has read SO MUCH TOLKIEN out loud in his life!), we had a movie night with a themed dinner to watch the associated film. It's very fun for kids to remember their favorite details from the book and figure out recipes to represent them. Sometimes they like to make foods written about in the book, like seed cakes or rabbit stew, and sometimes they like to make foods that represent other part of the book, like these Ring of Power doughnuts, above. You can make a themed dinner about ANYTHING, and it's always educational for the kids to research what they want to make, shop for the ingredients, and cook it.

  • children's books: Amelia Bedelia Bakes Off. The kids thought that Amelia Bedelia was SO FUNNY, and I still remember how absolutely thrilled my kid was when we finished Amelia Bedelia Bakes Off, she turned the page, and found a recipe there for Amelia Bedelia's cake! All praise to that author, because my kid could make the cake right then, using ingredients we already had on hand. Making recipes from children's books is such a great literacy connection. It builds context to the real world, and it makes reading feel even more fun than it already is. We also own and have really liked cooking from the Green Eggs and Ham Cookbook and The Little House Cookbook--any literary cookbook written around a children's book is probably going to have kid-friendly recipes.

   MATHEMATICS


  • fractions: Rice Krispy Treat fractions. Make Rice Krispy Treats, pour into a square or round cake pan, then when they're set have a lot of fun cutting them into various fractions. You can use any food that can be set in a round or square pan, but Rice Krispy Treats work particularly well because they cut cleanly without a lot of crumbling. Combine it with all the other hands-on ways that you can explore fractions, because it builds a kid's number sense by seeing the same concept illustrated multiple ways. Rice Krispy Treats are also a good sculpture tool for all kinds of art and model-making projects.

  • geometry: heart-shaped cake. Making a heart from a square and circle is a neat little trick--and it's delicious! You can extend the geometry play with paper geometric figures that kids can pattern and make pictures with. If you're feeling really ambitious, you could then bake a cake of whatever picture they've created with their shapes!

  • logic: edible chessboard. My kid and I baked this blondie and brownie chessboard during a time when chess was of high interest to her, and it was so fun! There was some good patterning and ordering involved, but things really got wild when we started removing squares from the board and figuring out how to play around them. Kids who like puzzles and games or are at all creative or mathy can get really into chess, and there are a lot of kid-friendly chess enrichment activities around. These two matching brownie and blondie recipes would also lend themselves to even more fraction exploration, patterning, and, if you frost them with letters, moveable alphabet play.


  • telling time: clock cake. This is more fun than educational, but it does require practical knowledge of how a clock face is organized and the ability to write the numbers. You could expand this lesson by cutting the cake to demonstrated elapsed time, or instead writing fraction divisions on it. 

PRACTICAL LIFE


  • reading comprehension/following directions: Jello. As soon as a kid can read pretty well, I think it's so educational for them (and SO fun for you to watch!) to be given any variety of easy-prep packaged food and encouraged to read the directions and make it all by themselves. Jello is perfect for this because the only cooking required is hot water, and it's very hard to mess up Jello! Instant puddings, canned biscuits and sweet rolls, and boxed cake mixes are also easy enough for a young independent reader to make.

  • how it's made: homemade peanut butter. This requires a high-powered blender, but kids find it fascinating to see how easy it is to make their own nut butter. My kid did not prefer this freshly-blended, peanuts-only peanut butter (even though the peanut butter I bought her at the time was also peanuts-only, sigh), but found it VERY fun to blend other delicious things into it. You can blend in honey, maple syrup, jam, and even more creative ingredients like spices and whole fruits. Cinnamon honey peanut butter was DELICIOUS! If a kid gets into the "how it's made" part, they might LOVE the TV show, much of which is free on YouTube. If they get into the blender part, introduce them to making their own smoothies and hummus and other nut butters. Blenders are VERY fun!

SCIENCE


  • astronomy: cookie Solar System. This is an all-day or multi-day project, but it is SO MUCH FUN! It requires calculation, geometry, a lot of research, and a lot of problem-solving, but the result is a tasty collection of cookie planets with correct relative size. My kids had a lot of fun reading about each planet so they'd know what color scheme to frost it and how many mini M&M moons to give it. It goes great with any other Solar System activities, many of which are equally hands-on. If you get a good cookie recipe that doesn't spread, you can also bake cookies to represent mathematical concepts like arrays and area models and larger map projects--can you imagine an entire cookie map of the world, with a different cookie for each continent?!?


  • cell cycle: states of meiosis cookie models. Reinforce the stages of meiosis by building an edible model. You can turn just about any diagram into a cookie or cake model with enough creativity! Plant and animal cells also lend themselves well to being made of cookies or cake, and I have seen an AWESOME cake model of a World War I trench.

  • fungi: yeast bread. The day that my kid learned that yeast is alive is one of my favorite days of homeschooling. She was so interested that we put aside whatever else we'd been planning to do and instead did some experiments with yeast, watched an educational video about fungi, looked at yeast through the microscope... and baked yeast bread! This would be a great intro to all kinds of kid-friendly yeast baking projects, including collecting wild yeast and making sourdough. 

  • chemistry: gelling and spherification. Learn how polymers work by creating gelatin juice spheres. Other hands-on ways to explore polymers include making milk plastic and slime. Or continue with edible states of matter by playing with non-Newtonian fluids, densities in liquids, and ice. These taste-safe spheres also make a good sensory material for babies on up! 

  • polymers: authentic homemade gummy candies. If you've got a kid who adores gummy candy, don't fall for those DIY kits or tutorials that essentially use just unflavored gelatin and juice or Kool-Aid. They do not taste like authentic gummies, and your kid will not be fooled! You really can make authentic gummies, though, that really do taste awesome, and your kid can get some hands-on experience working with polymers while you're at it! Kids who like this might enjoy other DIY food kits. There are SO many, from growing your own mushrooms and window gardens to making your own cheese and chocolate and gum.

  • properties of matter: density cake. This an easy and kid-friendly recipe that kids can run when they're learning about the properties of matter and density. Kids can do some similar experimentation to make a liquid density tower, although that one's not edible. If mix-ins seem to encourage your kids to try new foods, you can expand that into all kinds of bake-offs and cooking play. 
I wish I'd taken better photos of the kids doing all this magical cooking, because I'd love to write a book of educational cooking enrichment projects, but now I don't have anymore mini models! Maybe my teenager could help me with some illustrations to use instead...