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!

How to Adapt Lessons to Fit Your Student’s Interests and Make Learning Come Alive

A GFHS reader wrote to me, concerned about her student’s lack of interest in doing homeschool lessons, although he showed a wide capacity for learning and retaining facts about sports. The mom was frustrated as to how to get any actual lessons accomplished, since their days were an endless series of disagreements and strife. This is when out-of-the-box thinking can really pay off. Taking the lessons out of the box and away from the textbooks can make a huge difference and ignite the spark of learning in a “reluctant” learner such as this student. The examples given here will relate to football (this particular child’s passion), but you can easily adapt these ideas to wherever your students’ interests lie.

When a child is keenly interested in football or other sports, that can be used as an “in” for other subjects. For instance, put a map of the USA on a bulletin board and have him stick a pin in the approximate places where his favorite NFL players were born. Then have him place another pin in the city where each player went to college and connect the two pins for each player with a piece of yarn. Suddenly he’ll be up to his elbows in a fascinating research project and geography lesson that doesn’t feel like schoolwork to him at all!

Take this in a slightly different direction by challenging him to do some research on the NFL teams, making a chart showing when each team was founded, where it began, and if or where it has moved. Have some of the teams’ names or colors or mascots changed throughout the years? Now he’s found a history lesson that he can really enjoy! Give him more pins for the map (and a different color of yarn) to show the movements of the teams. A little more research can reveal what important world events coincided with significant team events or crucial games for more history, this time linking football to other events. Find inventions or products that were introduced during the years that match up to his favorite events regarding games, teams, or players, and that can bring in some science lessons. Look at how football uniforms, pads, helmets, and other equipment have changed over the years and why for some more science and history.

Challenge him to research the backgrounds of a few favorite players and write “color commentary” that could be used by a sportscaster, and you’ll have a writing assignment he’ll be eager to do! Challenge him to write his own sports “column” or read and critique the sports columns or blogs by professional sports writers, and he’ll have reading material, comprehension studies, and analytical writing assignments that hold his interest. To round out the language arts lessons, focus on his content first, then work on helping him correct spelling, punctuation, and grammar — always examining the rules for each change, not just criticizing his writing without reasons. He may even learn to spot spelling and grammar errors in the professionals’ columns for an important lesson in why accuracy matters!

Players’ statistics can be analyzed for some practical, real-life applications in math. Calculate the total yards of passing or rushing, the percentage of completed passes, or how a player’s averages have improved or declined over his career. Math practice is math practice, regardless of whether it uses random problems on a worksheet or real-life statistics. When the real-life applications mean something to the student, he will have motivation to complete the work. Learning one fact will spur curiosity to learn more facts, and before long, the student will be knee-deep in new information and hungry for more.

The homeschooling mom mentioned earlier took this advice and began adapting lessons to her son’s interest in football. When his curriculum focused on poetry, they searched the internet for poems about football—and were delighted with their results. One poem prompted a discussion, which led to further studies and more topics. This simple substitution transformed a struggle over a single, uninteresting lesson into a day filled with curiosity, researching, exploring, and learning.

Lessons that are based on real-life interests will combine several academic subjects all at once, rather than following the institutional school model of working on each individual subject for forty minutes before switching to the next unrelated subject for the next forty-minute period. Your student can research a given topic, study and analyze the reading material, pursue more research as to the geography, science, or history related to the topic, perform some math calculations to gain better understanding of the data, create a timeline of events, and express his conclusions and personal opinions in a variety of formats. The analysis of the information is conveyed, whether it takes on the form of a formal essay, a news story, editorial column, a poem, song, or rap, or even a personal journal entry. My own student who was reluctant to read assigned stories outside his field of interest became a voracious reader when the subject matter fed his curiosity. (How many adults would waste valuable time reading things in which they have no interest?) Adapting lessons to your students’ interests teaches those students how to learn from every facet of life and sets them firmly on the path to life-long learning.

See also:
The Value of Supplemental Activities
10 Ways to Improve a Lesson
How Can I Teach Out-of-the-Box Thinking?
Is Learning Limited to Books?
Every Day Is a Learning Day, and Life Is Our Classroom

Outdated Excuses for Why You Could Never Homeschool

The following article was written by Jennifer Morrison Leonhard, a light-hearted homeschool graduate who believes life is what you make it. What she usually makes it is funny!

“I’m not smart enough to homeschool my kids.” A typical answer from me is that you do not need to have the encyclopedia memorized, and you do not have to be a former valedictorian — you can simply learn right along with your kids. You start with colors and shapes and letters and from there you grow one day at a time. Lessons are usually fully explained in their textbooks, so you can read along and learn it all just ten seconds before your student does! It is now 2011, and I could argue that yo’ momma and her smartphone could homeschool your kids. (Bet you weren’t expecting a good momma joke, were you?) You do not have to buy a single book or even own a library card anymore. Like the popular commercial says “There’s an app for that” — whatever it is that you want to know or do. Science? My phone can take my pulse through the camera! Or try Google Sky Map to learn the stars. Music? I have a drum kit on my touch phone, and I’ve never had so much fun with an instrument! Not to mention that Pandora allows me to experience a wide variety of music styles. Learning directions is no longer something you have to do with a laminated “placemat” map and crayon (yep, that’s how I learned when I was still in public school) — now you can use Google Maps on your phone. For teaching math there are applications to teach formulas, offer practice math problems, flash cards, and math games. You can get an application for reading ebooks, search random questions with your browser, and document your findings with a “notepad” application and your camera feature. My mom always told us that as long as we knew how and where to find information, there are very few situations in life that require you have everything memorized.

“I do not have the time to homeschool my kids.”
Yeah, you’re probably too busy telling them to stop texting, get off that computer, and put away that video game. Again, in an electronic age, if your biggest hurdle is getting them away from electronics, you can probably find ways to substitute actual learning into those same gadgets — gadgets that frequently fit into a pocket and go everywhere anyway. It really doesn’t require a lot of time to homeschool. Once you cut out standing in line for this and that, waiting for the other students to catch up, or waiting for everyone to be quiet, you can see that only a few hours of real learning time are necessary. Unschooling is currently popular, so if electronics aren’t something your family indulges in, you can simply learn from Life. You can’t exactly avoid Life, and there are plenty of lessons to be learned each day, with or without 21st century electronic assistance.

“I could not stand to spend that much time with my kids.” Fine, send them to their rooms, and then Facebook friend-request them, and message their lessons to them. No face to face contact needed. They can chat with you when they need individual help, and message back or post photos and videos of their work. You, in turn, can post back their grades using the “Comment” feature, or for pass/fail there is a “Like” button included. The “Like” button would also give you feedback from their peers and other parents if you felt that you needed an outside opinion on a subject in which you are not an expert. Your children can also use the privacy features offered on Facebook to prevent certain friends and family from seeing their schooling, if that option is preferred. The Facebook photo albums are also a handy way to maintain homeschooling records if your state requires a portfolio for legal reasons. There it is: photographic documentation, all neatly packaged, and no fear of fire, flood, or other natural disaster wiping it all out, such as you would have had in the age of paper records only. And it all stores much more neatly, too. For added security, you can back up your files on flash-drives or with Carbonite.

“Socialization.” Did I mention electronic devices? Smartphones? Facebook? I think I did. Oh, and if you prefer actual human contact, go outside. There are still a few people left out there who aren’t busy on Facebook or their smartphones. There may also be some out there that are probably still on their smartphones and Facebook, so please drive defensively.

Bottom 10 Worst Parts of Homeschooling

Seriously.

We all know that nothing could be as consistently rosy as the way magazine photo-spreads try to paint homeschooling or as unfailingly cheerful as the above-average homeschooler’s daily blog entries.

For those who are genuinely investigating homeschooling for their children’s education, I would be remiss if I did not caution you in advance about the uglier moments of homeschooling: the dark days that inevitably occur and that no one wants to confess. Forewarned is forearmed, as the old saying goes, so take this list to heart and prepare yourselves as much as possible to prevent these stumbling blocks from stopping you in your tracks.

10. Sibling warfare. It will happen, and it will happen when you least expect it and are least prepared for it. From making faces at each other to kicking under the table, from stealing pencils to full-on hurling books… or worse. It may be momentary or it could be an on-going problem. Even in the calmest of families, even in the most serene households, even between the best of friends-as-siblings. It’s a consequence of the day in, day out continuous routine that causes boredom, weariness, restlessness, and disillusionment. A closely related side-issue is whether or not students will cooperate with a parent-teacher and a mixed-ages homeschooling atmosphere, particularly if these students have previously attended “real” school.

Coping strategies: Take breaks as often as necessary to break the negative patterns before they gain a firm foothold and to refresh everyone’s heart, mind, and body. Use multiple study areas, if possible, giving your students enough physical separation to allow each one to focus on his own work. (Siblings as Best Friends offers a more in-depth look at conquering this trouble spot. Also be sure to check out Respect Must Be Earned, Disrespectful Kids, and Troublesome Students.) Chores can be interspersed with learning to provide quick exercise breaks while maintaining productivity. This can be extremely helpful for separating restless siblings — send one off to do a chore or two while the others continue to work at lessons. A strategically chosen task can make sitting down to a lesson much more attractive! And while we’re on the subject of chores…

9. Chores. Taking out the trash, cleaning the bathrooms, tidying the living areas. Feeding the dog, sweeping the floor, shoveling the front walk. Did you remember to do your job? Did you finish every step? Whose sock is that? Did you brush your teeth? Did you make your bed? Whose turn is it to empty the dishwasher?

Coping strategies: Use reminder lists or charts to teach your children the responsibility of getting things done without prompting. Mom, you have more important things to do with your time than constantly reminding your children to do their jobs. My rule-of-thumb was to save my energies for the higher skilled jobs that only Mom could do, and get over my perfectionist tendencies relax my standards so that anyone else could do the lower skilled jobs. Use The Biblical Model of Discipleship to ensure each person knows how to do their chores, then walk away, and let them handle it. Tell yourself as often as necessary: it doesn’t need to be perfect, it just needs to be done.

8. Housework. Cook, clean, wash, iron. Meals, dishes, laundry, vacuuming. Buy the food, freeze the food, thaw the food, cook the food. Gather the dirty laundry, shuffle the loads through the laundry process, restock the cleaned laundry. When is there time to teach? Plan a lesson? I’m supposed to plan lessons???

Coping strategies: Lower your Suzy Perfect Homemaker standards enough to allow your family members to help with all of the daily work. Treat yourselves to quick, easy meals on paper plates when your schedule gets crazy. Spread out the responsibility for chores and share the duties (re-read #9 above). Lessons don’t need to be planned down to the tiniest, word-for-word details. Spontaneous lessons will often be the most memorable ones. (Using Your Household Staff contains practical tips for squeezing more out of your busy, busy day. A Day Without Lessons shows how education lurks in the most unlikely places.)

7. Clutter. Books, books, and more books. Workbooks, worksheets, test papers, and writing assignments. Textbooks, teacher’s manuals, reading books, reference books. (When you envisioned your ideal homeschooling set-up, you didn’t picture this extensive home library, did you?) Pencils, erasers, scissors, rulers, markers, crayons. Art supplies, craft supplies, math manipulatives, maps, charts, and posters. Where can you possibly put it all, and how will you find what you’ve got when you need it?

Coping strategies: We started with a “cigar” box for each student’s personal writing supplies (my pencils, etc.). We purchased build-it-yourself bookcases and storage cupboards as our needs (and budget) increased. We added a few inexpensive plastic multi-drawer units to help control the growing collection of arts-and-crafts supplies. Basically, you’ll want to adapt each year as your needs change. I found a week at the start of summer to be a good time for sorting out what we wanted to keep from the past year and a day or two at the end of summer to be a good time for re-evaluating our needs for the upcoming year. The kids and I worked together to sort and toss and discuss what we had all learned, then rearrange and make plans and get prepared and excited for what would come next. Working together was key for us: the kids often had great ideas to try in our small porch-turned-schoolroom. Plus, the longer we were away from the public school atmosphere, the less we felt the need to separate his things from her things, and the more we felt the community, teamwork, and sharing spirit of family. (See Homeschool Gadgets: An Investment in Your future or a Waste of Money? for a unique look at what you do or don’t need.)

6. More clutter. Salt dough castles, vinegar and baking soda volcanoes, and eggshell mosaics. Oatmeal and salt box drum sets, tin can telephones, and paper plate clocks. Butterfly and moth specimens, leaf and wildflower collections, and rock and mineral displays. The educational value is undeniable, but does it need to occupy the entire kitchen table?

Coping strategies: Remember that a photo can be kept in a much smaller space than the actual salt-dough castle took up (or stashed invisibly in a computer file). My children were much more willing to take apart their fantastic K’Nex creations once we had taken photos of them. Digital cameras were not a part of our early days of homeschooling; now they seem like must-have equipment! Above all else, remind yourselves that the learning is the most important part of education, not the meaningless handprint art, not the endless worksheets filled with twaddle, not the vapid writing assignments given solely for the purpose of creating time-consuming busywork. Some lessons are learned at the first reading or the first explanation, freeing both student and teacher to move on to the next thing with no further ado. (People LIVE in This House offers encouragement to those of us who do not live inside magazine pictures! I Give One Grade: 100%–But You Get to Keep Trying Until You Get It points out that learning is learning, no matter how long it takes.)

5. Most clutter. Mounds of clean socks and underwear that haven’t yet been sorted. Last season’s clothing that needs a place to live until the weather changes back again. Outgrown clothing and that nagging pile of mending.

Coping strategies: I used my own chores as times to wean my students off of my constant attention and teach them to teach themselves. You work on this lesson while I go sew these buttons back on your shirts, and I’ll come check on you when I’m done. Kids can learn to do most household chores and be able to help out when needed — remember, many hands lighten the load. As for storing out-of-season items, you may want to consider adding storage shelves in the basement or garage, or evaluating which things really need to be kept. Teaching my children to donate good, usable items to thrift shops created a habit they have continued as adults. (Teach Your Students to Teach Themselves will give them more confidence and independence in their own lessons and give you a bit more time for switching laundry, starting supper, or visiting the bathroom… alone!)

4. Desperation. There will come a day around February or March when every member of the family has coughed, hacked, and sniffled his or her way right out of your heart. And that may also have been accompanied by vomiting, diarrhea, and fever. Mother Teresa herself would have been ready to throw in the towel, if it meant she could escape your home’s infirmary to a peaceful oasis free of sticky dishes, stinky laundry, smelly diapers, and drippy noses, even for a mere eight hour shift of answering someone else’s telephone, shuffling someone else’s papers, and just plain dealing with someone else’s dilemmas.

Coping strategies: Calling off school for a few days or a week can give everyone a blessed relief as you all try to recuperate. Get your strength back before you try to pick up the books again. Even if the latest virus is not to blame for your collective malaise, a day or two away from lessons can perk up spirits. Do a little spring cleaning, indulge in some retail therapy, declare a family game day, or call for a video marathon – whatever it takes to clear your heads and jump-start the enjoyment again. (See Reschedule, Refocus, Regroup for tips on perking up your schedule. Sick Days, Snow Days, and Other Interruptions offers welcome relief from the nagging feeling that you can’t stay home from homeschooling.)

3. Regrets. I shouldn’t have yelled. I should have been there. I should have left earlier. I shouldn’t have grounded him. I should have done a better job. I really should go. I should have taken them a casserole. I should have called her. I didn’t do enough. I did too much.

Coping strategies: Remind yourself that no one is perfect, then Do the Best Job You Can and Pray for God to Clean Up the Rest. Giving yourself a few moments to think before you make each decision can really improve the quality of those decisions and help you on the way toward Living Your Life with No Regrets.

2. Isolation. The other side of the socialization coin has to be endless days of seeing no one but your own family members. Tempers will flare without warning, boredom will soar to new heights, and lessons that seemed relatively simple will go misunderstood for no apparent reason. You will find yourselves waiting eagerly for a glimpse of the letter carrier’s face, delightedly anticipating a trip to the grocery store, and chatting like a giddy madman with total strangers in check-out lanes, just because you are amazingly grateful for the sound of another human voice and a new face to gaze upon, if only for a few seconds.

Coping strategies: You may need some fresh lesson ideas. See 10 Ways to Improve a Lesson and Back to Homeschool with New Ideas. Or it may be time to recognize The Value of Supplemental Activities. If you are forcing yourselves into isolation because you think you are required to spend every school day from 8am to 3pm indoors with your noses in books, please read “Why Aren’t You in SCHOOL?”

And finally, the absolute worst, most discouraging facet to homeschooling—

1. Lack of guidance. Parents who remove their children from institutional schools will feel this more acutely than any others. How do I learn how to homeschool? What do my children already know? What do they not know? How can I tell the difference? Which math program is best? How well does he read? What about grammar? Should I teach history chronologically, geographically, or alphabetically?

Coping strategies: No one can (or should) give you a blanket summary of buy this program and it will fulfill all of your educational needs forever, since each of your children is different from the others, and they each have varied learning needs and academic interests which may change somewhat over time. Careful observation and good Mommy-instincts should tell you when a student is struggling to understand and when he is just plain bored and ready to move on because he already understands this material and it contains no challenge for him. Simple supplemental activities can adapt your present curriculum to your students’ learning styles, enabling each student to learn the lessons through his unique processing abilities. Answers to all other questions (well, many of them anyway) can be found here at Guilt-Free Homeschooling. Start with these articles:
So You Think You’re Not Smart Enough to Homeschool
Questions from a First-time Homeschooler
Surviving the First Year of Homeschooling After Leaving Public School
Curriculum Choices and Shoe Shopping, an Analogy
Meatball Education: Filling in the Potholes of Public School
Every Day Is a Learning Day, and Life Is Our Classroom
10 Ways to Ease into Homeschooling

Despite these downside aspects, homeschooling is absolutely the best thing you will ever do for your family! The intense contact of homeschooling will not just benefit your children, it can strengthen the entire family unit. Don’t let a few negative things keep you from trying the biggest positive of all, putting your children’s education on the right track.

Why Does Math Class Take SO LONG?

Homeschooling families often have this lament: My child takes f-o-r-e-v-e-r to do math each day! Can anything be done??? Let’s consider for a moment exactly what the student is being asked to do, to see if we can understand why it takes so much time. (Please note: I will use he/him/his as generic pronouns; all of this applies equally to girls and boys.)

Beginning students are learning the fine art of manipulating numbers to learn the processes of adding, subtracting, multiplying, dividing, and learning new number-languages called fractions, decimals, percentages, measurements, and on and on. You, the parent/teacher, are probably performing calculations with a minimum of fifteen to twenty years’ experience, quite likely much more. What seems incredibly plain and simple to you may in reality be incredibly confusing to your student.

Nearly every math lesson will present the student with a new concept, or at least an expansion of a previously learned concept. This means that the student must 1) study the new idea to grasp its meaning, 2) compare this new information to his previous knowledge to see how they relate to each other, 3) experiment with a few sample problems to test out the new concept and prove his understanding of it, 4) proceed to complete the remainder of the lesson’s required problem set, which may include both problems from today’s new concept and problems from previously learned lessons as review material. Steps 1-3 can be prolonged and repeated through discussions with the teacher (you) to insure that the student understands the new material fully. Examples may be drawn on paper, chalkboard, or whiteboard. Manipulatives may be used for grouping and regrouping. Graphs, charts, geometric figures, angles, and other mathematical illustrations may be incorporated. Teaching a math lesson in a way that your student will understand it completely can take time. Once the lesson has been understood, the student must mentally review the concepts again with each problem to make sure he understands the process as he is working his way through all of the day’s assigned problems.

In contrast, a grammar lesson may ask the student to write a sentence using an action verb, and the student looking for shortcuts may respond with “Jim sat.” It has a subject and a verb, it shows action, and it meets all the requirements. However, math requires exactness. There are few, if any, shortcuts to be taken in math. Mathematical calculations have concrete solutions: one and only one answer. Every operation must be exact, every digit must be accurate, and every calculation must be done completely, in order for the outcome to be correct.
4321
+765
___6Wrong. Shortcuts do not work in math.

Some may argue that calculators provide shortcuts, but I will counter that calculators should not be used until higher math, and then only as a time-saving device by the student who is fully capable of doing the work accurately without the aid of a calculator. In the words of my favorite college math teacher, “[Calculators] are stupid. They are machines that can only do exactly what you tell them to do.” The student who accidentally pushes the wrong button will get the wrong answer. I know. I did it. On a final exam. My paper showed that I had executed the problem correctly, but in my haste to complete the problem quickly, I hit the wrong button on a very, very, very simple calculation and achieved the wrong final answer. My gracious teacher gave me partial credit for using the correct process, but his point was made forever that using a calculator does not automatically provide success. Every keystroke must be verified by an alert mind. My haste ruined what would have been a perfect score on my final — disappointing, to say the least.

Back when I was plugging my way through elementary math, I had a teacher who required perfection, not merely correctness. She was a bitter old shrew of a woman who had been encouraged to stay in a classroom long past her prime and had lost all compassion for the children placed under her authoritative control; but I digress. A math problem can be solved correctly without perfectly formed digits or immaculately aligned numbers, and the existence of erasure marks on the paper has little to do with the accuracy (or inaccuracy) of the answers. When my children began doing math problems that included multiple columns of numbers, I bought them spiral notebooks of graph paper to use for their daily assignments. They could write one digit in each quarter-inch box, and the boxes kept the digits perfectly aligned. My students could focus on the place values as they copied the numbers for the problems, and then successfully solve the equation without being sidetracked by wondering if a wayward digit rightfully belonged in the tens’ column or the hundreds’ column.

Math is a sequential subject: each lesson builds upon each lesson before it. If foundational skills have been rushed and are not fully understood, each subsequent lesson will become harder and harder to grasp. Do not push your youngsters to make progress in math simply for the sake of turning pages. Be certain that each student knows what he is doing before allowing him to move on to the next concept. However, many enjoyable games and activities can be used to reinforce math concepts and provide practice with fun — and using math means learning math, even if you are playing a game and having fun.

Let’s focus for a moment on your particular student. Does his learning style allow him to absorb new information easily when he reads it the first time? Or does your student benefit from an oral discussion with you and some Q & A about the subject matter? Perhaps your student is more hands-on and doesn’t really get the concept until he can play with some math manipulatives, moving them around, grouping and regrouping, sorting and re-sorting, counting and recounting? (That’s why they’re called “manipulatives,” by the way, because you can manipulate them.) And let’s not forget that kinesthetic student whose brain goes numb when his seat makes contact with the chair’s seat — he may need to be on his feet, stretching his muscles through every minute of his math lesson, but that physical action guarantees that his brain is revved up and tuned in — not at all what classroom models need you to believe. A student whose learning style is not being utilized will be a student who is easily distracted from the subject at hand. Touch his learning style and you will gain his attention.

One last consideration is the amount of work set forth in your student’s textbook. All textbooks are not created equal, and especially not math texts. The number of problems required with each day’s lesson may change from day to day in certain books, and it will surely change from year to year, but it especially changes from publisher to publisher. When my high school student was using a math textbook that assigned 30 problems per day, her friends’ math textbook from a different publisher assigned 100 problems per day for the same grade level. I repeat: All textbooks are not created equal, and especially not math texts. Our book’s daily 30-problem set offered a variety of problems, using a method of continual review over past concepts. The 100-problems-per-day book offered no such variety: all 100 problems were of the exact same type. Is it any wonder that students can become bored and tired of doing math?

Math does take time. Math will probably be the subject that eats up the largest segment of your homeschool day. However, if your student is sitting idly, hour after hour, staring at a math lesson but not completing it, there are most likely several causes at work.

1) A lack of foundational arithmetic skills. A child who cannot recognize specific digits for their representative amounts cannot perform addition. A child who does not know addition facts cannot perform subtraction or progress on to multiplication. A child who does not know multiplication facts cannot perform division. A child who does not know multiplication facts will not fully understand fractions and, therefore, will also not understand decimals, percentages, or measurements.

2) The student has not understood the lesson concepts or is confused by them. This is often due to the student’s learning style. This is not a disability, just a difference in how each of us takes in and processes information. Some people take in information through their eyes, some through their ears, others through their fingers, and still others through their larger muscles of arms and legs. Seriously. Touch his learning style and you will grab his attention.

3) The textbook may be too aggressive (moving too quickly for the student’s pace) or just plain too boring in how it presents the material. While much of math is often taught through drill, drill, drill, I do not know anyone who would choose to learn anything through repetitive and boring drills if there was a more interesting alternative available.

Allow enough teaching time and a variety of teaching methods to be sure your student understands each lesson concept completely. Allow your student to talk things out, work with manipulatives, or run a lap after every problem to keep his muscles-to-brains connection engaged. Allow your restless student to take breaks while working his math problems, knowing that you, too, would break up a long and tedious task into shorter segments, if it did not hold your rapt attention. Math does take time, but the flexibility of Guilt-Free Homeschooling allows you to conquer it with the methods that work best for your family.

For more tips, see also —

Looking for the “Hard Part”

10 Fun Math Exercises from a BINGO Game

Sugar Cube Math

Alternate Methods for Teaching Math

Topical Index: Math

Topical Index: Learning Styles

10 Ways to Improve a Lesson

Sometimes we all need help teaching a lesson. The lesson may be too confusing, too short, or just plain boring. Your student may need a more complete explanation or just want to delve more deeply into the subject. You may need to expand the lesson to include an activity to fit your student’s learning style. No matter what the reason, here are a few suggestions for how to improve a lesson.

  1. Make it bigger. — Suppose your child is learning fractions, and the book’s diagrams are rather small. Draw similar diagrams using an entire sheet of paper for each one — sometimes bigger IS better! Simple drawings and diagrams do not demand precision: children are good at pretending, and they can pretend along with you that your drawing is accurate.
  2. Take it outside. — Fresh air and elbow room can improve anyone’s ability to think. Even reading a favorite storybook outdoors can give it new perspective.
  3. Add color. — Say good-bye to black-and-white; say hello to understanding. Use colored pencils or markers, highlighters, construction paper, or colored index cards. For example, write each step of a complicated math problem in a different color to help clarify the progression.
  4. Add texture. — Go beyond flat and give your fingertips a chance to enjoy themselves. Form ABC’s with Play-Doh, cut letters out of sandpaper, or draw with chalk on the sidewalk.
  5. Let your student play with it. — Exploration is the birthplace of genius. Go beyond the lesson plan and indulge your student with his own session of free experimentation, whether with math manipulatives, Scrabble letter tiles, vinegar and baking soda, etc. Playing is learning.
  6. Add more details. — Why strain to understand a single example, when ten examples will make it crystal clear? Suppose your child is trying to learn the letter A; show the child many examples of what A looks like, from several ABC books, from newspaper headlines, on packages in your pantry; draw A with crayons and markers, in shaving cream smeared on a window, in dry cornmeal poured in a baking pan; arrange small items into an A shape: pennies, pipe cleaners, pencils, building blocks, toy cars, fingers, etc. — after all of these examples, your child will better understand how to recognize an A!
  7. Discuss it. — Skip the one-sided lecture and the interrogation-style Q & A session; try an open and honest give-and-take, valuing your student’s opinions, reactions, and ideas. How would you react if those opinions were coming from your friend, instead of from your child?
  8. Build it. — Cardboard, scissors, and tape are the stuff that feeds imagination. Projects don’t have to be constructed well enough to last forever, just long enough to illustrate the concept.
  9. Research it (together). — Expand two great minds at the same time. The teacher doesn’t always have to know the answers before the student does — your student will develop new respect for you as he sees you willing to learn with him.
  10. Make it personal. — Use a personal application to your student’s own life, activities, or possessions, and he’ll never forget it. Instead of math manipulatives, use the student’s building blocks, toy cars, baseball cards, Barbie doll shoes, etc.

The specific examples given above might be either too simple or too advanced for your current needs, but you can adapt them to your student’s situation. Even if you think some of these ideas may not help with your particular struggles, dare to give them a try anyway. You may be pleasantly surprised at the results!

Sugar Cube Math

Are you looking for some fun activities to keep your students’ math skills sharp over the summer break? Do your students need help to achieve mastery of math concepts? Sugar cubes can provide just what you need! One of these activities each week may be enough to boost their math thinking skills, but your students just might want to keep playing and experimenting on their own!

A friend once asked me how I used sugar cubes in math. She had visualized the children just eating the sugar and becoming too hyper for any actual learning! Math manipulatives are nothing more than little things used to illustrate a math lesson, and sugar cubes are fairly inexpensive things that just happen to come in perfect little cube shapes, making them ideal for stacking. However, sugar cubes must be handled with some special care to get them past more than one lesson: do not expose them to moisture (not even wet fingers) and keep them on a jelly-roll pan (large cookie sheet with sides) to collect the crumbs of sugar that will inevitably fall off. Handle the cubes gently to prevent crushing them, but do not be too alarmed when a few of the cubes crumble no matter how gently you touch them. (Life is like that: some of us just can’t take as much pressure as others can.) When lesson time is over, your students can carefully place the sugar cubes back into their box to use them again another day. You will probably want to reserve these sugar cubes for math lessons only — they can become a little too soiled with repeated handling for plunking into your morning coffee! The following suggestions will work with any cube-shaped objects (Cuisenaire Rod 1-units, ABC blocks, dice, etc.), as long as all of the cubes are the same size. A box or two of sugar cubes provides a large number of identical cubes for a small investment, and their plain white sides allow the student to focus on the cubes as units, rather than on any decorative details.

Stack them up, pile them up, square up the piles and see how much fun you can have building walls and tiny forts with sugar cubes. Make checkerboard designs or pyramids. Lessons can be much more than boring drill, and you can learn from play! Below are some more structured lessons to try after a free play session. Some parents may need to do these experiments with their children; other parents may need to get out of the way and just let their child experiment to his heart’s content!

Addition is very simply illustrated through counting the total number of cubes that results from combining this group of cubes with that group of cubes. Take this operation to its next logical level and un-do the addition of cubes for a simplified lesson in subtraction. A student who can see that subtraction is nothing more than backwards addition will not be confused into thinking that subtraction is a new and confusing mathematical concept. Illustrate how addition and subtraction are linked together by discussing both concepts with one set of math facts: 2 cubes in this group plus 3 cubes in that group equals 5 cubes all together: 2 + 3 = 5. Therefore, taking 3 cubes away from 5 cubes leaves us with 2 cubes again: 5 – 3 = 2. Switch the numbers around to show that 3 + 2 also equals 5, and 5 – 2 = 3. Experimenting with just those 5 cubes, the student will quickly see that 1 + 4 = 2 + 3, and so on. Repeat these experiments with other groupings of cubes, always focusing on undoing the addition to prove that the subtraction facts are just another way to state the matching addition facts.

An important part of math is learning about prime numbers. Start with just 1 cube and by adding 1 more cube at a time, we will experiment with making different arrangements of the cubes. Any number of cubes that can make only 1 row is called a prime number — it has multiplication factors of only itself and 1. (One by itself does not count as a prime, because it has no factors at all — it’s just one.)

If you have arranged cubes into two equal rows, that means you have at least 4 cubes. Those can be arranged into 1 row of 4 cubes (or 4 rows of 1 cube each), or 2 rows of 2 cubes each. These are also the multiplication factors of 4: 1 x 4, 4 x 1, and 2 x 2.

Add 2 more cubes, 1 to each row, for a total of 6 cubes. Those can also be arranged into 1 row of 6 cubes (or 6 rows of 1 cube each) or 2 rows of 3 cubes each. Now rearrange the cubes into 3 rows of 2 cubes each to prove that 2 x 3 makes the same size and shape of rectangle as 3 x 2, but just turned the other direction.

Add 2 more cubes, for a total of 8 cubes. Arrange these into 1 row of 8 cubes, then 2 rows of 4 cubes each, and also 4 rows of 2 cubes each. Factors of 8 are: 1 x 8, 2 x 4, 4 x 2, 8 x 1.

So far, an odd number of cubes has not been able to make any even arrangement of rows except for 1 row of cubes. Add 1 more cube to your grouping, for a total of 9 cubes. This is the first odd number that has other factors besides itself and 1: 1 x 9, 9 x 1, and 3 x 3. Arrange the 9 cubes into 3 rows of 3 cubes each.

Show your student that his experiments have now proved that an odd number times an even number equals an even number (3 x 2 = 6). An even number times an even number equals an even number (2 x 4 = 8), and an odd number times an odd number equals an odd number (3 x 3 = 9). Those principles will remain true no matter which odd or even numbers are used — encourage your student to experiment with his sugar cubes to prove this fact.

As the child continues adding more cubes and rearranging them into factor groups, have him make a list of the factors for each number, seeing how many different ways each number can be factored. Which number (of the ones he has tried so far) has the most factors? Multiplication is nothing more than a short-cut to addition, and multiplying can save a lot of time that would be spent adding. Multiplying with bigger numbers will be much faster than adding those numbers over and over and over.

This process can also be done in reverse to illustrate division. Take a random number of sugar cubes and arrange them into rows. Can you make several rows with an equal number of cubes in each row, or do you end up with a few leftover cubes? Try several different arrangements of rows and numbers of cubes in each row. Keep trying until 1) you can come out with a square or rectangular arrangement with no leftovers, or 2) you prove that you have a prime number of sugar cubes, with no other factors than this number and 1. Whether you are multiplying or dividing, the factors remain the same — proving that division is just un-doing multiplication. The only difference is that when dividing, sometimes you can end up with a few leftovers, called the remainder.

Area is basically the same as a set of factors. It can also be thought of as floor tiles by looking straight down on top of the cubes so that only their tops can be seen. By moving the cubes around, the student can demonstrate how 1 x 12, 2 x 6, 3 x 4, 4 x 3, 6 x 2, and 12 x 1 all have the same area (they all use exactly 12 cubes). Area of a square or rectangle is determined by multiplying two connecting sides together, just like the two factors.

Perimeter can be related to how many sections of “fence” it would take to go around the outside of a certain area. The cubes’ edges can be counted as individual fence sections for an easy way to prove how many fence sections are required. Notice that each corner-cube has two exposed edges for fences. Perimeter is usually determined by adding the totals of the sides together, but multiplication can be used as a shortcut for perfect rectangles: 2 times the shorter side, plus 2 times the longer side. (Note that in a single row of cubes, the cube at each end will have 3 exposed sides to be counted.)

Experiment with various arrangements of the same group of cubes and compare the area to the perimeter. Can you change the perimeter without changing the area? What is the largest or the smallest perimeter you can make while keeping the same area?

Volume can be thought of as area in several levels. First, think of area as being a flat concept, like floor tiles, and volume being a 3-dimensional concept, like the solid sugar cubes. Arrange 2 rows of 3 cubes each, making an area of 6. Now arrange 6 more cubes in exactly the same pattern. If you stack one group on top of the other group, you can easily see 2 layers of 6 cubes each. Two rows times 3 cubes times 2 layers equals a volume of 12 cubes: 2 x 3 x 2 = 12. Try this with other groups. Multiply to find the volume: the number of rows times the number of cubes in each row equals the area of that layer. Now multiply the area times the number of layers to find the volume. How many more cubes does it take to increase the total volume of the stack of cubes?

Once your student has mastered calculating volume, combine it with measurements. Have him measure the side of one sugar cube, and then substitute that measurement in his calculations of perimeter, area, and volume. Now have him measure the sides of the large stack of sugar cubes to see if his calculations were correct. Substitute 1 inch for the measurement: if the sugar cubes measured 1 inch on each side, how large would the stack be now? How large would a stack be with 10 layers of 10 rows of 10 sugar cubes in each row? How about a stack that had 100 cubes each direction? How about 1,000? Or a million? Or a billion? (This leads directly into the study of exponents, because a square of x-number of sugar cubes is x2 and a cube of x-number of sugar cubes is x3.) How many sugar cubes would it take to make a large cube (all 3 sides equal) the approximate size of a card table? Or as tall as your house? Or as wide as a football field? Your students may need to use a calculator to check their math on these problems, but getting to use the calculator is their reward for having fun with math!

By the time your student has completed all of the activities listed above, he has probably also thought of some other activities to try with the sugar cubes. Try them–experimenting is how we learn!

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