Workshop Wednesday: Freebie Magnets

Magnets are a wonderful learning tool for tactile learners. There is something about that magical, magnetic connection that appeals to fingers of all ages. Fortunately, most of us have a ready supply of free advertising magnets from the pizza place, the hairdresser, the auto mechanic, the new phone directory, and every politician who marches in a summer parade. Peel your collection off the refrigerator, and let’s turn them into some great learning aids. I’ll list several possible uses and some basic how-to’s for the magnets. You’ll want to analyze what topic your students are struggling with or where they need the most help, and then focus your efforts there. Students can also help make magnetic learning aids, and helping to make them means the learning begins right away.

Stickers are probably the easiest things to turn into magnets, since you just have to stick them onto a magnet and cut around the stickers with scissors or a razor knife (such as an X-Acto). I have used scrapbooking stickers that looked like Scrabble letter tiles, foam letter stickers that were shaped like small jigsaw puzzle pieces, and 3-dimensional plastic stickers with raised animal shapes. The puzzle piece stickers were slightly tricky because of their irregular shapes, but I cut the magnets into squares small enough to fit in the center of each sticker, and then (after attaching the magnets) dusted the surrounding sticky edges with baby powder, using a dry artist’s paintbrush. It took two rounds of dusting powder to get the foam pieces to stop sticking to each other, but I’ve had no problems with them since then. With regularly shaped stickers, it is fairly simple to line them up next to each other (as many as will fit on the magnet), press them down securely, and then cut them apart. If your stickers have rounded corners, cut them apart as squares first, then round off each corner with scissors. There may be a strip of magnet left at the side that is too narrow to hold more stickers, but hang onto that piece—you’ll cut it up and use it later.

Once upon a time, my kids had some puffy stickers that they wanted to be able to save and reuse. Magnets to the rescue! I covered the backs of the stickers with adhesive plastic, then attached a magnet to each one. Those cartoon character magnets became a great quiet toy for imaginative play.

Craft foam sheets allow you to make your choice of subject matter by writing on the foam with a permanent marker, such as a Sharpie. (Some foam sheets can even be purchased with a magnetic backing already attached!) I had some magnetic strips that were adhesive on one side (leftovers from a weather-stripping project), so I cut squares of craft foam the same width as the magnetic strip, stuck them on, and cut the magnetic strip between the squares. Adding numbers to each square produced magnetic manipulatives for math! I drew arithmetic operation symbols on a few more squares to complete the set.

Laminated placemats have been featured in a previous Workshop Wednesday article, but I will mention them again here for good measure. That example showed a periodic table of elements placemat that I turned into magnets, but any subject matter will do. If a placemat doesn’t lend itself to a building block format (such as the periodic table) or a map (USA, etc.), perhaps you can cut it into a simple jigsaw-style puzzle to entice your kids to play with the magnetic pieces and learn the information.

I have also used the plain (back) side of a thick foam-like vinyl placemat by cutting it into the desired shapes and attaching a small piece of leftover magnet to the back of each piece (formerly the front of the placemat). Adhesive squares made for scrapbooking, card making, and other popular paper crafts work great for attaching magnets (without the mess and hazards of hot glue guns). These vinyl-foam placemats are a bit heavier than craft foam and are made of a material that is not subject to the static electricity that can leave you covered in bits of craft foam for the rest of the day. Yes, that is a magnetic map of Iowa’s 99 counties, made from the backside of an orange jack-o-lantern placemat, but please don’t feel you have to try something quite so ambitious as your first project (that thing was tricky!).

A USA jigsaw puzzle (cut on state borders) received new life as a magnetic puzzle with the addition of a magnet square to the back of each puzzle piece.

Letter game tiles were repurposed with the addition of a magnet on the back of each tile.

Sandpaper cut into small squares can be glued to cardstock for added strength and then attached to a magnet. Grab your Sharpie marker again and write or draw letters, numbers, symbols, etc. for magnetic manipulatives with a bonus tactile texture. I made some in 1” squares, but don’t let that limit your imagination!

Funny facial features (eyes, eyebrows, noses, mouths, mustaches, ears, etc.) drawn on cardstock and attached to magnets become a fun game for preschoolers (I saw that idea on Pinterest, but I don’t know who originated it; someone deserves the credit!). Now what if you used the same principle for body parts and made interchangeable heads, bodies, legs, feet, arms, and tails for a magnetic build-a-monster activity? Build-a-bug, build-a-robot, build-a-car, build-an-animal, build-an-alien—the possibilities are endless! Your older students may have fun creating these magnets for their younger siblings, and they’ll learn some great problem-solving skills in the process. I wonder if we can make these small enough to fit in this empty Altoids tin? Hmmm… then Mom could keep it in her purse for Timmy to play with in church or while waiting in a restaurant!

So let’s review: we’ve discussed making magnets for letters to use for phonics and spelling practice, numbers and operation symbols for math, chemical elements for science, and states for geography. Need more ideas? How about geometric shapes, colors, incrementally-scaled pieces for number value (make them match the size of other math blocks you may own), fraction pieces, or pattern blocks. Have a struggling reader? Use the “magnetic poetry” type of word magnets (purchased or home-made) to focus on reading one word at a time, then adding them together to build a sentence. Have a struggling writer? Those same magnetic words can help him write sentences, stories, or poetry, since it can be much easier to rearrange someone else’s words than it is to think up new words from your own head. Pick up a small, inexpensive, cardboard skeleton party decoration, cut it apart into individual bones or groups of bones (such as the rib cage, hands, feet, etc.), attach some magnets, and you have an anatomy learning aid. Plastic or cardboard coins can become magnetic money manipulatives (say that three times really quickly).

When you have accumulated a large supply of educational magnets, the traffic in front of your refrigerator may get overly congested. Solution: steel cookie sheets or steel pizza pans are lap-sized and much more portable than the refrigerator door. If you need to shop for steel pans, you may want to take along a small magnet in your pocket for testing purposes. (That nosy store clerk will leave you alone when you explain that you’re obviously shopping in the kitchen section for educational materials.)

Now before I forget, there is one other accessory that makes magnetic learning aids even more beneficial: paper. I drew a Sudoku grid large enough to hold our number magnets and placed it on the cookie sheet, using the magnets to hold it in place. Ta-da, magnetic Sudoku can take the visual puzzles from a book or newspaper and turn them into a tactile masterpiece. A worksheet with fill-in-the-blank problems could hold magnets on those blanks instead of written answers. Your kids might choose to color an underwater background picture to place behind their letter magnets, just because they are learning to spell the names of ocean creatures.

Learning isn’t limited to books, life doesn’t happen between the pages of a workbook, and we learn what we enjoy. Magnets get fingers involved, and fingers love to learn! So what are you waiting for???

See also:
What Is the Missing Element?
Placemats + Magnets = Educational FUN!

Workshop Wednesday: Building Blocks for Success in Spelling

Spelling, like math, is a subject that requires several foundational skills learned in sequential order, as shown in the diagram, beginning at the bottom and building up, one skill upon another. No one is born knowing how to spell correctly, but the individual steps to spelling proficiency can be somewhat tricky to identify by those who have already been reading for many years.

Skill #1 is the first building block: learning to recognize letters both by their names and by the sounds they represent. Since vowels can represent multiple sounds, depending on their combination with other letters, it is simplest to use their names and the short vowel sounds during the recognition phase. I preferred to teach my children upper case letters first, since that provides fewer opportunities for reversals (such as confusing b and d). Once the child knows the upper case alphabet well, the lower case letters can be introduced as the “little brothers” of the first set. Pairing the big brothers and little brothers together also helps avoid reversals, even when they don’t look that much alike—because kids easily understand the concept of siblings who belong together but aren’t identical.

Skill #2 is vital: correct pronunciation of each letter sound, leading to correct pronunciation of words as reading begins. A child must hear and speak the sounds correctly to be able to match those sounds to the appropriate letters. Some children may have already formed bad habits of mispronouncing certain sounds as toddlers (for example: difficulty with l’s, r’s, or w’s, lisping with a th-sound instead of an s, or dropping the initial s from sc-, sl- or sw-blends), but the visual application of learning the letters that represent those sounds can help straighten out the mistakes. However, if family members mimic the youngster’s incorrect pronunciation habits on a routine basis, confusion will follow, since the child who is learning to read won’t know which sound is correct! Take the time to instruct the child slowly and thoroughly so that he can learn to make the sounds properly. It is much better to learn correct methods in the loving security of home and family than to continue incorrect, juvenile habits into adulthood. Elmer Fudd’s manner of speaking may have been funny in cartoons, but if Elmer had been an actual person, his speech may have caused him to be taken less seriously in real life. Some local dialects can also twist the pronunciations of words away from their actual spellings, which is why television news reporters are encouraged to minimize regional forms of speech and learn to speak without a local accent.

Skill #3 consists of learning common patterns of letter combinations and the sounds made those combinations, known collectively as phonics. This level includes many different phonics patterns, from long and short vowels to vowel blends, consonant blends, and digraphs (the new sounds created by certain combinations, such as ch, ph, sh, th, and wh). Silent letters add another twist, but those are usually predictable, since they occur within specific combinations. (The ABC’s and All Their Tricks  is a wonderful reference book, explaining the origins of spelling patterns, giving examples of words using each pattern, and answering the spelling questions that had stumped my teachers throughout my education.)

Skill #4 comes after the phonics patterns are mastered: syllable division is the next logical skill to achieve. Knowing how words separate into predictable syllables helps the student tackle new, longer words and get the pronunciation correct, usually on the first try.

The #5 building block skill for spelling success is learning prefixes and suffixes and being able to recognize them from the root word. We kept our large dictionary handy that showed the meanings of the individual components of each word—a fascinating study. My students loved compiling lists of words that were all based on a common root and seeing how the prefixes related to the words’ definitions—instruct, destruct, construct, etc. We played the Rummy Roots card games to learn common Greek and Latin roots that have become part of our everyday vocabulary. The mastery of roots, prefixes, suffixes, and other syllables was proven by accurately reading the list of chemical ingredients on a shampoo bottle!

As my children conquered each of these skills, I encouraged them to “hear the sounds in order” in each spoken word, so they could then write those sounds in the correct order for accurate spelling. It takes careful listening to spell words correctly, and the visual skills attained through these building blocks will work together with the sounds heard to achieve success.

See also:
ABC Flashcards
Letter and Number Recognition
What Is the Missing Element?
When Children Mispronounce Words
A New Approach to Spelling-Word Lists

Workshop Wednesday: Building Blocks for Success in Math

Math is called a foundational subject for good reason: if you don’t have a solid foundation, anything you try to build on top of it is in danger of falling apart. Math is also called a sequential subject, meaning that math skills must be mastered in sequence, each skill building on the skills before it. This picture represents my view of math skills and the order in which they should be mastered, starting at the bottom and building up, one skill upon another.

No one starts teaching math by instructing their preschoolers in differential calculus. The first math skill we teach is Sorting: Which ones match? Is this one like that one? We may start the sorting process with colors or shapes, but Sorting is still the basic skill being learned. Sorting is the #1 most important math skill, used from recognizing number value to solving the most complex equations. Counting is an extension of sorting, assigning a number name to each different quantity. We “know our numbers” when we can group the correct quantity of pieces to represent any given number. We have mastered counting when we can recite the quantities in ascending order. The ability to count backwards is preparation for further skills yet to come.

Place Value might be considered to be an extension of Sorting by placing 1-digit numbers together in one group, 2-digit numbers as another group, yet another with 3-digit numbers, 4-digits, and so on. Children who are learning to count past 10 are learning place value, even though they are not yet adding or subtracting large enough quantities to require carrying or borrowing. Those skills work hand-in-hand with addition and subtraction, but an understanding of place value has to come first. Using a large quantity of identical small manipulatives, such as toothpicks, you can demonstrate the quantities represented by numbers in the ones column and numbers in the tens column to show how and why we write numbers the way we do. As your student gains skill with addition, you can revisit Place Value to demonstrate carrying into the tens, hundreds, thousands, and as many columns as your child wishes to add.

The next natural step after Place Value is Addition. Your child may already be using his counting skills to inform you that since he already has 1 cookie, if you would just give him 2 more cookies, then he would have 3 cookies! He may not recognize 1+2=3 on paper, but he certainly understands cookie quantities! Addition facts are best learned through using real-life objects, manipulatives, or even diagrams, rather than just expecting a young mathematician to transfer immediately to written problems. Hands-on practice makes subtraction easily evident as the un-doing process for addition, thereby taking away the stigma that subtraction is yet another new skill to learn. If a student knows addition facts to the point of quick recall, that same student will be able to perform subtraction. Therefore, a student who struggles with subtraction is a student who has not mastered addition facts.

Multiplication is often presented as one more new skill to master, but when presented as a “short-cut” to repeated addition, the student will see multiplication facts as a convenient tool, not as an obstacle to further learning. Multiplication facts can be demonstrated with a large quantity of small manipulatives that can be grouped into repeated rows (½” squares of heavy paper or cardboard work very well). Some quantities of manipulatives can be rearranged to show various factors which result in the same amount, such as 1×12, 2×6, 3×4, 4×3, 6×2, and 12×1. Grouping and regrouping the manipulatives will give your student a deeper understanding of multiplication facts as he sees the groups (visual), arranges them with his own fingers (tactile), and repeats the facts aloud (auditory). A kinesthetic learner will prefer standing or kneeling to do this activity, providing yet another sensory element.

Why isn’t Division listed in these Building Blocks? Simply because Division is un-doing Multiplication, just as Subtraction is the un-doing of Addition. The only tricky part to Division is that sometimes things don’t come out completely even, and we get “left-overs”—but every child who has tried to share 5 cookies with 3 friends understands that concept already. Division uses the quick recall skills for multiplication facts to regroup as evenly as possible, and the “left-overs” will be dealt with in more detail later on as these skills progress even further into the concepts called fractions and decimals. By the way, fractions, decimals, and percents are all “nicknames” for the same amounts—they are just different ways of looking at the same quantities, such as ½, .5, and 50%, and those all mean that you and I are sharing equal amounts of the same cookie!

The final Math Building Block to be mastered is Logic. Logic means making sense of things, so they come out right. Logic may come in the form of “If/Then” statements, such as the block in the picture shows: If all cats have 4 legs, and Fido has 4 legs, does that then mean that Fido must be a cat? Fido might be a cat, but we also know that other animals besides cats have 4 legs, so we cannot assume that Fido is a cat until we have more information. That is logic: using information to prove a point, but sometimes you realize that you don’t have enough information yet, and the point you prove could be wrong. Another use of logic is in balancing equations. A very simplified example is 7-2=5; if we add 2 to each side, we’ll see 7-2+2=5+2 or 7=7, a true statement. What we do to one side of an equation must also be done to the other side to keep it balanced, as if the equals sign was the pivot point on a balancing scale.

If your student is struggling with any of these building block skills, back up and practice the previous block’s skills until they are mastered. Recall of these facts should come as easily as a reflex action before the student is ready to move on successfully to the next building block. Don’t worry that other students may be moving ahead already—they may not be ready either, and their “progress” will soon result in more struggles. Remember that a student who cannot do division does not know multiplication facts well enough. A student who struggles with multiplication does not know addition facts well enough, and neither does the student who struggles with subtraction. A student who has trouble with addition does not understand place value or number values well enough. Success in math is achieved by mastering skills in sequence and building a solid foundation with each skill before attempting more challenging skills.

For more tips, see also:
Looking for the “Hard Part”
Why Does Math Class Take SO LONG?

Workshop Wednesday: Dot-to-Dot Skip-Counting

I bought a dot-to-dot coloring book, which was much harder to find than I had anticipated (this one is from School Zone Publishing). Their pictures only used numbers from 1-25, so I dug out some small white stickers, grabbed my scissors and a black fine-point Sharpie, and went to work. I cut the stickers into pieces small enough to cover the numbers on the picture and re-numbered the drawing using skip-counting. Sometimes the pictures are complicated enough that it’s important to only do one number at a time (cover previous number with a sticker, write new number on the sticker, then move on to next number), just so you don’t lose your place and mess up the whole thing. With more complex drawings, my stickers sometimes overlapped the lines of the picture, so I just re-connected those lines, drawing right across the sticker.

Click on photo for larger image.

I changed the directions at the bottom of the page to correspond to the new, improved numbering system: Count by 2’s; Count by 3’s; Count by 10’s; Count by 12’s; and so on. I made the skip-counting harder as the difficulty of the pictures progressed. To make things even more challenging, I changed some of the directions to say “Start at 3. Guess the rule?” so that the pictures didn’t always begin at 1 and the student would have to analyze the numbers to determine which one came next. I made some pictures start at 2, 3, 4, 5, 50, 55, 101, etc. and vary in increments. Some pages counted by 2’s on even numbers; some counted by 2’s on odd numbers. Some counted by 5’s, 10’s, or 100’s—a wide variety of skip-counting experiences.

Skip-counting is good practice for multiplication, and following the numbers of a dot-to-dot puzzle helps your students learn what interval comes next by connecting them in numerical order. The complexity of the numbering system quickly overtakes the simplicity of the picture, providing a worthy challenge to math students who might feel silly doing the simple dot-to-dot coloring page in its original version. Following the random order of the numbers on the page provides more interest and more challenge than if the student had just written out a skip-counting series, and the student can easily self-check his work by judging whether or not the picture has been completed correctly.

BONUS TIP: After you’ve gone to all the trouble of changing the numbers, wouldn’t it be nice to have this last longer than once-through-and-done by your little smarty-pants student? Cut the pages out of the book, slip a page into a plastic page protector, and let your child use a dry-erase marker on the plastic. Wet-erase markers (also called “transparency markers”) will work great, too, and they don’t rub off instantly whenever a stray sleeve crosses the page. A quick wipe with a wet tissue will clean up wet-erase markers and prepare the page for the next use. You could even use enough plastic page sleeves to hold all the pages from the entire coloring book and put them all into a 3-ring binder. Give your child the binder, some markers in assorted colors, and a couple of tissues, and you won’t hear from him for a very long time!

Workshop Wednesday: Placemat + Magnets = Educational FUN!

Find a placemat with educational information you’d like your students to learn: states & capitals, U.S. Presidents, whatever you can find. I’ve used both the laminated plastic placemats and the thicker, foam placemats. The former placemat in this photo was a laminated periodic table of elements, proving that educational manipulatives DO work for kids older than five. Notice the element in the lower right corner that is flipped over to show the magnet on its back. The placemat cost me about $3, which is an amazing price for educational gadgetry of this quality!

Periodic Table of Elements

Cut the placemat apart into its various components; scissors will usually work, but you may want to use a razor-knife or X-Acto blade for accurate cuts on thicker materials. Don’t worry about leftover pieces—you can throw them away. The thicker, foam placemat pieces are good for more projects that we’ll cover in a later post (think of them as craft foam that is not subject to static electricity), so you might choose to hang onto those for a while.

Now is a good time to rid your refrigerator door of all those freebie magnets you’ve collected from the pizza guy, hairdresser, auto mechanic, insurance agent, and every politician who marched in last summer’s parades. I always accept freebie magnets when offered (regardless of political affiliations)—they are my favorite homeschool supply! Using your scissors again, cut the magnets into pieces about ½” square or whatever size will fit easily onto the back of the placemat pieces you cut in the last step.

The next step may require a trip to the scrapbooking department of whatever store is near you, unless you are already an avid scrapbooker…er, bookscrapper…uh, person who documents life events in keepsake albums with pretty papers, ribbons, and all variety of cutesy add-ons. I’m not one of them, but I do recognize the homeschooling value of all those fabulous supplies! What you need right now is a box of the adhesive squares that are used for mounting photos or other items onto scrapbook pages. Stick one of those double-stick-tape squares onto the printed side of the little magnets you just cut up, then stick the other side of the tape to the back of your placemat piece. Don’t go all perfectionist in trying to line things up, just smack it on there and move on to the next one—you’ve got a lot of these to make. When each placemat piece has a magnet on its back, stick them all to a steel cookie sheet, pizza pan, or other flat metal item that will hold magnets and is more portable than the refrigerator door.

BONUS TIP: Let your kids help you with any of these steps and they won’t be able to wait until it’s all done to play with it. Now turn them loose and pretend you really don’t care if they learn what’s printed on this new magnetic educational gadget. Your kids will think they are just playing, but you’ll know they will learn from it, even if they think they are building houses or roads or flowers with the magnetic pieces. [wink]

Workshop Wednesday: Dominoes Make Great Tactile “Flashcards”

Wouldn’t it be wonderful to have a single set of simple math learning aids that could help your students learn everything from basic number values to fractions, decimals, and percentages? It already exists, and you may even own a set: dominoes. Ordinary flashcards appeal to the student who learns best through visual means: seeing and reading. Saying the flashcard facts aloud will work best with the student who learns well through auditory means: hearing and saying. For the student whose fingers must connect with the lesson in a tangible way for him to truly lock the facts away in the deep recesses of his mind, dominoes make ideal flashcards!

Dominoes make great tactile “flashcards”!

Dominoes are wonderfully tactile, whether they are the smooth, heavy plastic ones that look like imitation ivory or the pressed wood versions with a decorative design embossed on the back side. The dots are usually carved out, and the depressions are filled with bright colors of paint. There is also usually some physical attribute serving as a divider between the two halves of the domino, either a carved or embossed line. All of these features work together to provide textural interest to the fingers that get to hold them – much more interesting than flat, boring, cardstock flashcards. Flipping through a stack of thin cards is one thing; stacking up dominoes, as one masters the facts they represent, is quite another thing. Dominoes appeal to many senses and learning styles with their bright colors, heavy thickness, and the wonderful sound they make as they clink together.

Let’s look at the wide variety of math exercises, from beginner level to more advanced skills, that can be performed with a set of dominoes.

Number Value

Count the spots. Say the number, or write the number. Repeat as needed for practice until the student knows how many seven is and can identify a group of dots with the appropriate number. Substitute a matching number of candies, blocks, or toy cars for the dots and repeat the counting exercise until the student understands that numbers can apply to more than just small colored dots in orderly patterns. Once the student has mastered the number relating to each distinct pattern of dots, arrange the same number of objects in different patterns to show that each number can occur in various types of groupings (e.g. four objects in a straight line is still four, even though they do not form a square, as on the domino).

Smaller v. Larger

When the student understands the principle of assigning values to digits, that same student can begin to differentiate smaller groups from larger groups. Since each domino conveniently displays two number groupings, use them to practice smaller v. larger numbers: help the student decide which group of dots represents the smaller number and turn that side to be on the left, leaving the larger number group on the right side. Repeat as needed for practice until the student can tell at a glance which number is smaller and which number is larger. Practice saying the numbers and deciding which is smaller and which is larger, and then count the dots, if necessary, for confirmation.

Two-Digit Numbers

Once again, each domino represents two digits. Help the student learn to read and write the two-digit numbers shown on each domino’s face. For example, if a domino shows a two and a six, that domino may be read as 26 or as 62. Dominoes that have no dots on one side can be read as a one-digit number and a two-digit number (e.g. 3 and 30). The smaller v. larger exercise can then be repeated with these two-digit numbers.

Addition

Students can begin simple addition problems by adding the two numbers represented on a domino and then counting the total of all dots for confirmation.

Subtraction

By holding a domino vertically with the larger number on top and the smaller number on the bottom, the student can begin learning to write and perform subtraction problems. More advanced students, who have learned the concepts of positive and negative numbers, can reverse the domino, placing the smaller number on top, and proceed with the subtraction exercise.

Multiplication

Dominoes can be used as multiplication flashcards by attempting to multiply the two numbers represented. If the student is unsure of an answer, it is advisable to consult a reference chart for the correct answer, rather than merely guess. Seeing the correct answer time after time will help the student memorize it by sight, and the student will eventually trust his memory instead of taking the time to look at the chart for the answer. (A calculator may also be used to check answers, but pressing a wrong button can deceive the student into believing a wrong answer.)

Division

Holding the dominoes horizontally can represent the numbers in a division problem. The student can write those numbers down on paper to practice dividing. The beginning student should only divide small numbers into larger numbers, until his knowledge of decimals allows him to practice dividing larger numbers into smaller numbers.

Manipulatives

Turn the dominoes face-down, so the dots are not visible. Practice counting, adding, and subtracting. Subtraction is merely undoing the addition process, and this can be easily illustrated by grouping and re-grouping the dominoes. Arrange groups of dominoes into rows to illustrate multiplication facts, and discuss how dividing is just undoing multiplication, but sometimes with leftovers called “the remainder.”

Fractions: Proper & Improper, Simplifying

Holding a domino vertically, the two numbers can represent the numerator (top) and denominator (bottom) of a fraction. Proper fractions always have the larger number in the denominator, while improper fractions always have the larger number in the numerator and can be simplified into a mixed number fraction. When reading the domino as a fraction, the student can decide if the fraction can be simplified and what that new fraction should be. Advanced students may select two dominoes and attempt to add them together as fractions, converting them to common denominators as needed. Subtraction, multiplying, and dividing fractions may also be practiced by selecting random dominoes to use as the fractions in each problem. Students should always be encouraged to write math problems in a notebook — when needed for reference, the student can easily look back at his previous work to see how he solved similar problems.

Fraction, Decimal, & Percentage Equivalents

Students with a working knowledge of fractions may move on to the decimal equivalents of fractions. Percentages are another form of fractions. Fraction, decimal, percentage, and ratio can all be thought of as “nicknames” for equivalent amounts. Arranging face-down dominoes to illustrate the problem, writing out the problems, and drawing diagrams will all help the students understand how the amounts are equivalent. Then the student may wish to use face-up dominoes as flashcards again, using the two numbers shown as a fraction and determining the decimal and percentage equivalents.

Perimeter, Area, & Volume

Using the dominoes face-up, a student can build “fences” to illustrate perimeter, or the distance around the outside of a specific shape. Count only the edges of each domino, and count each half of the long sides as a separate unit: a domino at a corner would count as 3 units: one for the short end on one side of the corner, and two along the long side of the domino on the other side of the corner. Filling in that shape solidly with “floor tiles” relates to the concept of area. Again, count each half of a domino (each separate section of dots) as one “floor tile.” Stacking multiple layers of dominoes can illustrate the 3-dimensional concept of volume. For example, an area represented by two rows of three dominoes each will contain six dominoes. Stack up several identical layers to show that each layer contains six dominoes. Multiply the area of six times the number of layers to determine the total number of dominoes used.

Play Domino Games

What better way to show that math is valuable in everyday life than to play a game of dominoes? Advanced players might enjoy the competitive element of keeping score, but those playing just for the fun of the game can proceed more quickly by simply playing their dominoes on the matching numbers and moving on to the next turn. There are a variety of domino games, so expand your knowledge base and learn several.

Line Dominoes Up on Edge for Physical Science Domino Effect

No one should go through life without lining up dominoes in curvy lines or intricate patterns and then gently pushing over the first one in line to watch all the others tumble in turn. Setting up the dominoes on end is good for honing the fine motor skills of small hand muscles — great care must be used to ensure that the dominoes don’t fall too early! Repeat as often as possible and search You-Tube for massive domino displays to enjoy!

Top 10 Things I Wish I’d Known When I Began Homeschooling

Whether you are beginning homeschooling after removing your children from an institutional school or are starting by simply not sending your little ones to preschool or Kindergarten, I can offer you some valuable been-there-done-that advice. File this under “If we’d only known…”

10.       The “classroom model” is counter-productive to learning.
Seating students in tidy rows of individual desks is only beneficial if the teacher needs to maintain control over a crowd of students by herself. Ditto for periodic testing. Double ditto for asking permission to speak or to use the bathroom. Let them do science in the backyard; let them draw while lying on the floor; let them read in the treehouse; let them compare prices and quantities as math while grocery shopping. Demanding attention, waiting for silence in the room, waiting for all eyes forward, waiting in line—all are dehumanizing tactics meant for crowd control or to break the spirit of the individuals. These methods are used with new recruits in the military—and in prison. Exploration is the birthplace of genius, but when was the last time anyone turned loose a classroom full of students to randomly discover their hidden genius?

9.         Schedules are made for faculties, not families.
Who in their right mind would put constraints on learning? What parent would tell their child “No, I’m sorry, Sweetie, but I can’t let you learn any more today”? Schools insist that learning must take place between the hours of 8:30 a.m. and 3:30 p.m. on Monday through Friday, September through May—and then they are disappointed that the students’ skills diminish over summer break. Homeschooling parents can sneak in “stealth” lessons on trees or flowers or bugs during a family picnic. Homeschoolers can browse an antique store during a weekend outing and turn it into an impromptu history lesson. Homeschooling students can help Dad change the oil or re-grout the bathtub or trim an elderly neighbor’s bushes… and get credit for learning valuable lessons at the same time. Learning opportunities abound every moment and every day. Never stop learning, and never stop looking for the “teachable moments.”

8.         Reading and lecturing alone are insufficient teaching methods.
Textbook directions and diagrams only went so far in helping my kids learn. I soon found myself drawing different diagrams (if only bigger or more colorful), explaining concepts in multiple ways, or using borrowed game pieces as manipulatives to illustrate concepts. We did lessons outdoors; we did lessons on the floor; we used board games as lessons; we used videos as lessons. We acted things out; we made up rhymes; we used sign language to help us remember things. We added bright colors; we built models; we made flashcards; we invented games to help in practicing new skills. I had my kids teach difficult concepts back to me to be sure they understood them correctly. We used every possible method we could think of for illustrating and demonstrating lessons—and it worked. It worked very well.

7.         Every homeschool is different. Don’t let anyone convince you otherwise.
Each family will need to use the methods and materials that fit their own children’s needs. It’s supposed to work that way; it has to work that way; that is why we are homeschooling in the first place. It is beneficial to share with others what has or has not worked and why, but each family needs to run that input through their own filter. Trying to mimic what others have done is a trap destined for failure. Borrow their idea, if you really like it, but adapt it to your own family’s tastes. If it works well, continue to adapt it and keep changing it as your needs change. If it doesn’t work well, either make enough changes that it will work or toss it back and try something else. You have your own preferences, you have your own values—build your homeschool around those, and ignore the Homeschooling Joneses. Two (or more) families can use identical materials, but still use enough variations in supplemental activities that their lessons will look nothing alike.

6.         Students need academic success to build their self-confidence.
I didn’t realize that my (former public school) kids would need to see that they were capable of learning on their own… without the collective input of two dozen other kids backing them up. They needed to learn that they could move on to the next concept as soon as they had mastered this one. They also needed to learn that I would not push them to move on until they had mastered each concept, whereas classrooms move on with as little as one correct answer and, at most, one-third of the room understanding. Most of our first year of homeschooling was spent in learning how to learn and learning that they could learn. Once they had acquired confidence in their own abilities, things progressed much more quickly and much more smoothly.

5.         The price of the materials has nothing to do with the amount of knowledge your students will gain.
We found used materials at book swaps and garage sales. We used hand-me-down materials from relatives and found great learning games and toys at thrift stores and flea markets. We made our own cheap versions of fancy educational gadgets from cereal boxes and tape and glue. I even made up my own lessons when I couldn’t find suitable materials to purchase. Purchases of popular, highly recommended, expensive materials often turned out not to be a good fit for us. We often learned more from the inexpensive items than we did from the pricey ones. Shiny boxes and high price tags do not automatically equal success.

4.         Fit the materials to your students’ preferences and expectations.
My daughter’s former school did not have enough books, and they treated workbooks like textbooks, requiring every student to copy lessons into personal notebooks. One thing my daughter reallyreallyreally wanted from homeschooling was to have her very own personal workbooks that she could write in and decorate with gold star stickers. Done: I ordered a workbook. One thing my daughter reallyreallyreally didn’t ever want to see again was a red pencil mark on her papers. Done: I used bright orange and lime green and sky blue colored pencils to correct her work. Problems solved. Focus on the learning.

Find out what your kids expect homeschooling to be like. Find out what they do want and what they don’t want. Ditto for yourself and your spouse. Homeschooling should not be about one parent’s dream to play school with desks in a row and maps on the walls (although desks and maps are wonderful learning tools, they should not be the primary focus); homeschooling should be a learning adventure for the whole family. It’s okay to keep some parts of the school model, if what your family really wants and needs is that consistency. It’s okay to scrap all preconceived ideas and start over from scratch, if what your family really wants and needs is an Opposite Day educational experience. It’s also okay to use this method for this student and that method for that student, if that is what they really want and need.

3.         Finding gaps in foundational skills is proof of academic success. (just fix ’em before moving on)
I was under the mistaken assumption that I could just begin teaching where the school had left off. I was also naive enough to think that the public school teachers had made sure my kids had understood everything… correctly. I was wrong on both counts. We had been homeschooling for only a few weeks when we hit our first educational pothole. The math book expected my child to work with fractions, and my child was horribly confused about fractions and what to do with them. I ordered some workbooks that focused solely on fraction math and put the regular math lessons on hold until my child was confident in handling fraction problems. These workbooks made fractions very simple to understand, but my child became incredibly angry and frustrated—but not at learning fractions—she understood those concepts very quickly, once they were explained adequately. Her anger and frustration came from seeing how simple fractions were to understand and remembering how difficult and complicated her teachers had told her fractions were.

We found materials to fill in each gap of missing knowledge, and then we moved on. Regular lessons in any given subject were suspended until that particular pothole was filled (the time varied from minutes to days to weeks), but once we could resume the lessons, the progress always came faster. We found numerous potholes during that first year, but by the end of that year, my children were learning with confidence and gaining ground rapidly. Every pothole proved to us that we were learning—if we hadn’t been making progress, we would never have discovered the potholes.

2.         Play is learning, and learning should be fun.
Children work diligently at playing, whether they are building sand castles, playing dress-up, or roller-blading on the driveway. Kids wear themselves out having fun, and they learn important lessons from their playtime. They learn that moist sand packs best; they learn that long skirts and high heels don’t combine well with stairs; they learn that balance is very important in skating as well as in life.

Do you remember being eager to get your driver’s license? Do you ever hate waiting for a new movie to come out after you’ve seen the trailer for it? Have you ever called a friend to tell them all about your latest accomplishment? That is the excitement of learning!

What you do in your leisure time is your version of fun, whether that means reading a book or watching TV or painting your toenails or fishing for The Big One. If it wasn’t fun, you would do something else with your leisure time. Now look at what your children do during their leisure time—and find a way to incorporate those methods into their lessons for some really motivated learners.

1.         Mom = Teacher = Mom (or Dad)
The first time Mom answers her student’s question, a miraculous transformation takes place: the student realizes that Mom knows stuff. Each answered question builds that reputation, and answering “I don’t know, but let’s try to find out together” increases the thirst for knowledge.

Parents have a unique advantage over traditional classroom teachers, in that parents can admit they don’t know all the answers. Homeschooling parents can use a bunny-trail question as the next teachable moment without disrupting an entire room full of students or getting hopelessly off a pre-set schedule.

Parents have a dynamic relationship with their children that allows snuggling during particularly difficult lessons. Learning to read is a magical milestone that should be celebrated with hugs and kisses and shouting and dancing, not relegated to the far corner of the room and conducted in hushed voices. Parents know instinctively when their child can be encouraged to try one more time and when that same child will benefit most from taking a break. Parents see their children day and night, weekday and weekend, season after season, year after year, on good days and bad days, in sickness and in health. Parents know what their children want and what their children need—and they will move heaven and earth to provide for them

Teachers are motivated by a paycheck and a sense of duty; parents are motivated by love. When a random child acts out in a classroom, the teacher seeks to make the disruption stop, even to the point of removing that child; when a parent’s own child acts out at home, the parent seeks to determine the cause of the problem and remove the problem, not remove the child. No one can know any given child to a greater degree than that child’s parent, no one will love a child more than that child’s parent, and no one can be a better teacher for a child than that child’s parent.

 

As homeschoolers, the most important thing to focus on is learning. If something is getting in the way of the learning, it becomes a stumbling block and is probably not all that important. Do things in a different order, try another method, or set that material aside for a time and see what happens. Homeschooling should be about learning, not about following in someone else’s precisely spaced footsteps. We made the most significant progress when we focused on what we were learning and stopped worrying about how we were learning it. Focus on the learning, and watch it happen!

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