Wednesday, July 6, 2016

Custom Homeschooling on a Shoestring

While homeschooling is a slight tangent from my usual topic, it's the time of year when some parents are seriously considering whether it might be a beneficial option for their children.

There are many reasons people might consider homeschooling, and many ways of accomplishing it. This post is for those of you who have decided that, while homeschool is the best option for your family's needs, your budget is limited.  You may have researched various homeschool packages from Sonlight, Timberdoodle, Alpha-Omega, Calvert, etc., and found the prices out of reach.  Perhaps you looked into the free online public school options such as K-12 or Connections Academy, but don't feel that these would suit your family's needs.  You're thinking DIY is the way to go.  So now you're wondering, "Where do we start?"

You don't need some high-dollar curriculum package (although those are nice!), or even the free online public school set-up, to give your child a great education.  What you really need is time to invest in your child.  First, there is the time to plan and find the materials you need, but most importantly is the time you actually spend with your child.  You will be the one to know if she has trouble with her multiplication facts, or if she needs more work on handwriting, or is so excited about geology that you could spend a whole year reading, writing and learning about rocks.

Here's a basic DIY tutorial:

1. Investigate the homeschooling requirements of your state (assuming U.S. readers here, but whatever laws apply).  They vary considerably.  For example, in Virginia you may be required to submit a course description at the beginning of every year and evidence of progress at the end of every year, whereas in Arizona you simply file an Intent to Homeschool once.  There may also be required subjects, standardized tests, or other boxes to check.  You can find this information online ("homeschool requirements in the state of ___") or by calling your state department of education. Another good source is the  Home School Legal Defense Association, which has the latest information for each state.

2. Map out what you want your child to learn.  Depending on your goals for and philosophy of homeschooling, you may have specific ideas of what you want your child to study.  Do you want her to fall in love with literature, develop an understanding of the world, learn a foreign language, excel in math and science, think critically, write well, express herself through the arts?  What about this specific school year-- what period(s) of history do you want to study, and how much geography?  What areas of science, and what works of literature?  Art? Music?

If that sounds intimidating, don't worry.  Common Core aside, there are no set rules about what a child must cover at any certain grade level.  There are topics and approaches that are more appropriate than others, of course, for each age and stage.

You might find age-appropriate ideas in What Your ___ Grader Needs to Know, or your local school's curriculum, or a classical homeschooling plan such as amblesideonline.org.  If you like the idea of unit studies,  Five in a Row is a popular program that builds a week's worth of academic learning around classic children's literature.  There is even a program based on the Little House series. Discovering what you like, and what you don't, will make it that much easier to create your own custom homeschool.

Consider what your child's individual needs are, and where his strengths/weaknesses and interests lie. For example, if your 4th grader is a struggling reader, you might want to offer many high-interest, low difficulty books to build up his fluency instead of texts that might cause frustration. If your child is obsessed with Pokémon, walruses, or vacuum cleaners, there are ways to incorporate these interests into math, science, and just about any other subject.  Bear in mind that the older the child is, the more important it is to include his input in this planning stage.

The idea of what and how much you might want to cover in a year is called the "scope" of your lesson plans.  Educators call the complete list of what you plan to teach, and the order you plan to teach it, the "scope and sequence."  Depending on your state laws, this may actually be a required document that you submit to the officials.  Obviously, if you are using a commercial curriculum for one or more subjects that is already planned out, your scope and sequence will be pre-determined and you don't have to mess with it.  However, if you're coming up with your own plan, most people find it helpful to write out some kind of parameters to keep in mind as they go through their year.  By no means is it set in stone; the beauty of homeschooling is its flexibility.

Linked below is a very basic scope and sequence for a fictional 4th grader.  It is based on a 3-term school year, so assuming a traditional 36-week school year, that would be about 12 weeks each.  You may prefer to break your year down into 9-week, 6-week, or semester (18-week) segments. Whatever works for you is great!  Please note that this example is only one way to write out the information; you might do it differently.  For instance, some of my entries are written in unnecessarily vague educational jargon just because it's late as I type this and I'm too tired to use real English.  And there are also more subjects listed than a real 4th grader would be likely to need.  It could also be that I'm missing one that you plan to include, such as vocabulary or geography.  But I think you can get the general idea.  In case you want to try it yourself, I'm including a printable template:
sample scope and sequence
scope and sequence template

3. Determine your resources.  If you want your child to learn history and geography, do you have anything now that you could use to teach that?  You may already have certain educational materials collected at home: maps and globes, books on history and science, fiction books, educational DVD's, games, equipment and supplies. When we began homeschooling, we already had large wall maps of the world and the U.S.A., and a generic Illustrated World History Encyclopedia from the Barnes and Noble bargain shelf.  The book was enough to introduce each historical topic that we studied, and we used the maps to locate each country or event site as we got to it.  You might have other items, or none at all.  But for each subject you teach, there may be more available resources than you realize.

These may be community offerings: people you know who are experts in a particular field, libraries, museums, historical sites, theater groups and symphonies, universities, extra-curricular clubs, parks and recreation classes, churches, or homeschool support groups.  Maybe the local parks and rec offers a children's art class, or the children's museum downtown has some great science exhibits.  And there is a wealth of online educational resources, and even educational apps.

But what about actual curriculum? There might be a math text or spelling program that you have heard of and are dying to try out.  Ask around!  Homeschooling friends are often happy to loan out reusable curriculum that their children have finished with.  If you join a co-op or homeschool support group, there are often opportunities to share items.  Used bookstores, Ebay, Facebook, Craigslist, Amazon and online forums are also places that can help you score a ganga deal.  Be sure to do your research and know what the cost of the new item would be before shelling out anything for the used version.

 What if you know what you want to teach, but don't know how to start?  There are all kinds of books and websites available to help you.  Ruth Beechick's You Can Teach Your Child Successfully has helped countless families on their homeschooling journey.  Teach Your Child to Read in 100 Easy Lessons is a classic that gives parents a sequential, simple method of teaching their child to read.  Another favorite of mine is Reading Reflex, which I have discussed before.  There are articles on websites (here's an example), and online programs such as starfall, readingbear, bookadventure, and readtheory for reading, and Khan Academy for math.  A good librarian can help you find what's available on the shelves, and Googling "free reading curriculum" or something similar will get you started online.

It's a good idea to make a list of available resources before you need them.  Here's an example of a resource list, and a template you might use to create your own:
sample homeschool resources
homeschool resources template

You might notice that the resource form has a space for an electronic scheduling system. I have used both Homeschool Tracker and Homeschool Planner over the years; while not absolutely necessary, these programs allow the parent to keep a neat and immediately updatable record of everything their child has done, which can be invaluable if they ever need a transcript or some other documentation of their work.

4.  Divide and conquer.  Once you have gathered your resources, use your scope and sequence to come up with a daily/weekly plan.  Think of the old riddle, "How do you eat an elephant?  A bite at a time!"  Your scope and sequence is the elephant; your daily plan is the bite at a time.  So for every subject, look at your resources and determine how each could be reasonably spread out over the designated time period.  For example, if you want your child to listen to fifteen Newberry award books plus a collection of short stories and a book of poetry over the year, you might plan to cover five novels, a short story and twenty poems per 12-week term.  The daily plan would then be determined by the amount of reading your child can comfortably listen to in a single sitting.  Depending on the length of the chapters, you might decide to read and discuss a chapter a day of the novel along with a poem, or a short story and a poem.  A long chapter might be split over two days, while a couple of short chapters might be read together.  (Incidentally, reading aloud to your child is an excellent way to develop her vocabulary and listening skills, but a follow-up discussion of what you are reading is critical so she doesn't begin to tune you out.)

For history, you might work on one historical event per week.  On Monday you could read about it in a history encyclopedia and locate the appropriate places on a map; the next day your child might watch a You-tube clip about it.  Wednesday might involve a hands-on project.  On Thursday you might find more information about the event on child-appropriate website, and Friday you might have your child draw a small representative symbol on a timeline at the appropriate date.  By the way, if your literary selections are related to the history being studied at the time, your child can experience a greater understanding of the people and events.  For example, you might select titles such as Johnny Tremaine or American Girl's Felicity while studying the American Revolution.  Adding in special activities such as museum visits,  listening to music of the period, cooking and craft activities, and dramatic play also increase engagement.

Your math resource(s) may be online or text-based.  If you are using something like Khan Academy, you won't have a certain number of pages to assign, so you would set a daily time limit or a certain number of activities instead.  A twenty- to thirty-minute session of math might be as much as your child can absorb in a sitting, but you can plan to do a lesson introducing a concept (such as two-digit addition) early in the day, and then provide time for independent practice later on.  A third, short session of fact drill (using flash cards or online games) might be scheduled during another part of the day.

Older students who are highly motivated, but prefer a less structured style, might work better given a weekly assignment list instead of a daily one.  We found a daily assignment list worked well for us; my kids felt a sense of accomplishment as they completed each item.  When they dumped me for public high school, they hit the ground running and never once had to be reminded to do their homework.

As you plan each day or week, notice that there are at least three different types of school activities.  There are the oral activities, such as read-aloud and discussion items; the guided practice where you are actively helping your child with hands-on or pencil-and-paper work; and there is the independent work in which your child is working on an assignment by himself.  Silent reading, math problems, handwriting practice, and computer-based activities would fit in this category.  I found that having an even balance of all three types of learning worked best for us.

What is a good amount of time to spend on school each day?  It depends on the age of the child, of course, but it is unlikely to be anywhere close to what is needed in the classroom.  So much time there is spent on crowd control (lining up, getting supplies, transitioning from one activity to the next) and administrative tasks (collecting and passing out papers, taking attendance, making announcements)-- besides the fact that teaching one-on-one is far more efficient than one-on-twenty-five-- that finding your child done by noon should be a normal occurrence at the elementary level.  By middle school, my kids were more likely to stretch things out until 4 or even 5pm, but that included a break in the day for band or music lessons, cooking their own breakfast and lunch, and a pretty heavy load of academics.

Here is a sample week that gives ideas for doable daily assignments in a number of subjects.  Bear in mind that you would probably not want to start out doing all of this at once!  And every family's/child's needs are different; you might prioritize, add or eliminate different subjects based on your own scope and sequence.

sample homeschool week
homeschool week templateht

And a sample daily schedule, showing how everything might work in detail:

sample day's schedule
homeschool day template

Note: if you have more than one child that needs to be scheduled, and also want to figure out how to get your stuff done, I heartily recommend Managers of their Homes as a way to keep everything organized.  I've seen it used on Amazon for less than $10, but it's well worth the $25 price brand new. Here is a MOTH- inspired schedule for a family including a 9, 5, and 1-year old:

sample schedule for multiple children
multiple children schedule template

5. Adjust as you go.  Remember, the most common mistake new homeschoolers make is trying to do too much.  Many veterans recommend starting out slowly-- just a few subjects the first week, then gradually adding more in until you find your balance.  And don't try to plan too far in advance.  By using your scope and sequence, you can focus on planning just the chunk you need.  When I was doing this, I rarely scheduled out more than six weeks ahead in any kind of detail.  And what I did write was in pencil, always subject to change.

I'll leave it at that for now.


Friday, April 22, 2016

Homemade Stress Balls

Jelly Beadz stress ball.
Next time your child is studying the concept of volume, or maybe air pressure, why not make a stress ball?  It's an easy and fun way to work with measurement, and the result is a great sensory tool for kids who need to fidget with something while they work.

The easiest and cheapest stress balls are made by simply filling a balloon with flour, cornstarch, or sand, and tying it off.  Depending on the size of the balloon, you might need about a cup of filling material.

It doesn't work to just pour the material straight into the balloon-- there's not enough pressure to make the latex stretch.  Instead, use a funnel to pour the material into an empty water bottle.  (If the neck of the funnel is very narrow,  try stirring the flour in the top of the funnel, and/or poking a pencil through the hole until it all goes through.) Then blow up the balloon to about 1/4 of its full size.  Hold the neck of the balloon shut at the base, leaving as much of the neck free as possible.  Twist the neck once or twice to hold it, then carefully stretch the open end of the balloon over the mouth of the bottle.  Hold the balloon on the bottle while you turn the bottle over, letting the flour (or sand) flow into the balloon.  (It may not "flow" quickly; you may need to keep tapping the bottle till it all gets in the balloon.) Once all the flour is in the balloon, separate the balloon from the bottle, gently let all the remaining air out of the balloon, and tie off the neck of the balloon.

A more expensive, but much cooler,  version of the stress ball is made from water-absorbing Jelly Beadz.  I found mine online, a 1 lb bag for $17.  You only need 1/2 teaspoon of beads to make a stress ball, though, so a smaller bag would work fine.  Here's how it works:

Materials:

  • 1/2 teaspoon Jelly Beadz (dry)
  • 1 round balloon, about 12"
  • 1 cup water
  • measuring cup and spoons
  • empty water bottle
  • funnel
Procedure:

  1. Place 1/2 teaspoon of Jelly Beads in water bottle, using funnel.*
  2. Pour 1 cup of water into water bottle.  
    Air-filled balloon
    attached to water bottle.
  3. Blow up balloon to about 1/4 its full size.
  4. Hold the neck of the balloon shut at the base, leaving as much of the neck free as possible.  Twist the neck once or twice to hold it, then carefully stretch the open end of the balloon over the mouth of the bottle.  
  5. Hold the balloon on the bottle while you turn the bottle over, letting the water and beads flow into the balloon.  You may need to swish the water in the bottle to loosen the beads.  If any beads stick to the bottle, let a bit of water back into the bottle from the balloon and keep going back and forth until the bottle is empty.

    Pouring water into
    the air-filled balloon.
  6. Once all the water and beads are in the balloon, separate the balloon from the bottle, gently let all the remaining air out of the balloon, and tie off the neck of the balloon.  
    Air removed,
    balloon is ready to tie off.

  7. Set the balloon aside for 3-4 hours to allow the beads to absorb the water.  When it is all absorbed, you have a very squishy, soothing stress ball.  
    These balls are all filled with Jelly Beadz.  The one on the left
    is made with a clear balloon; the others are regular colored balloons.
    *Note: another option is to pour the dry beads into the balloon before you blow it up, but I hesitate to try that with kids lest they inhale the beads.
Now, try these questions with your student: if you're studying volume,  try measuring the volume of the stress ball.  It was originally filled with 1 cup of water, plus a few tiny beads-- what should the approximate volume be?  Does the volume change after the beads absorb the water?  Why or why not?  How would you measure that?  (What would happen if you poured one cup of water into a two-cup measuring cup, and then dropped in the stress ball?)  What is the metric equivalent?  And why can't you just pour the water directly into the balloon without blowing it up and sealing in onto the water bottle?

Thursday, April 21, 2016

Free On-Line Interactive Learning

Sorry, this is just a screen shot, not a real video.
 Want to learn math?  Try Khan Academy.  Want to learn a new language?  Check out Duolingo.

Both of these sites are well-thought out, free and interactive, offering user-friendly courses that guide you (or your student) through learning new material at an individualized pace.

Khan Academy is a non-profit educational site that offers K-12 math all the way through Calculus; it even has a math level with basic counting, addition, and subtraction.  It probably works best for kids who already have the basics down, however.   The site includes video lessons, practice problems (with hints and answers) and mastery challenge tests, and allows students to earn points and badges as they work through various levels.  It can be used for supplementary help (when homework just doesn't make sense), review, or as the basis for a homeschool math curriculum.  Parents, teachers, or tutors can create an account and add their children in classes so that they can monitor their progress, or the students can work on their own either using their own account or just accessing the lessons as needed the website.


If the wedsite is used as the basis for a homeschool math course, I would recommend the student be provided with additional practice on paper, a variety of drills, as well as real-world math activities.  For example, a student learning his multiplication facts would likely need practice outside of the website, whether flashcards, games, songs, or whatever matched her learning style.  A student learning to measure would need actual hands-on tools-- rulers, measuring cups, and scales-- and real things to measure.  Learning about angles would require having an actual compass to measure actual angles.  Even the occasional pencil-and-paper worksheet (free to download from many sites) helps the brain process the material in a way that the computer screen can't always match.

Duolingo provides instruction in your choice of 16 different languages.  (Mostly European-- there is Russian, Turkish and even Esperanto, but sorry, no Chinese or Arabic at this point.) After creating an account, you can also download an app for your mobile device for lessons on-the-go.  You can start from the beginner level, or take a placement test to see where you should start.  Your progress is tracked through many different lessons.  You can set daily goals of 5, 10, 15, or 20 minutes of daily practice.  As you progress through the lessons, you earn "lingots" to spend in the virtual store.  From the look of the progress chart on my screen, the lessons appear to cover the equivalent of a first-year course-- possibly two years at the high school level-- in a foreign language, at least as far as grammar is concerned.  I can't tell at this point how much vocabulary is involved.  Of course, if i were using the site as the basis for a homeschool foreign language course, I would supplement with additional reading, writing, listening and speaking opportunities.  Teacher's Discovery has a wealth of resources for the foreign language student, including beginning level readers, dvd's, music, games, etc.

I have just started using the Duolingo site myself, but it reminds me somewhat of Rosetta Stone in that it begins with pictures to identify.  Unlike RS, however, the lessons have you translating instead of learning by immersion.  For example, in the first few lessons of RS, you would hear the word in the target language along with a picture, and then later you would select the correct picture when you saw the word.  With Duolingo, I was asked to choose the word that meant "the woman," from several pictures labeled in the target language.  When I clicked on the correct photo, I heard the word.  Later, it asked me to translate the phrase and I typed in "the woman,"  then to label the picture, and I typed in the correct phrase in the target language. Obviously, this would not be the ideal program for someone who is a careless speller, but it was kind of fun.  And I like that the grammar is explicitly taught-- the lack of grammar is a common complaint with Rosetta Stone, or at least it was when I was using it years ago.  (Many people prefer RS precisely because it uses the immersion approach, which is the natural way that young children absorb language.  As an older learner, however, i like to know the grammar behind what i am learning so I can connect what I'm learning to what i already understand. Different strokes for different folks.)

So if you are looking for enrichment opportunities for you or your child, you might give these a try!  They are free and fun.

Wednesday, April 13, 2016

"Smart but Scattered"-- when your child isn't reaching his potential.

Procrastination.  Disorganization.  Immaturity.  Laziness.  Lack of focus.  Lack of persistence.  Low frustration tolerance.  No self-control.  Does your child seem to struggle with any of these?  Does it drive you up the wall?

Executive functioning skills are the "adulting" abilities that allow a person to begin and finish tasks,  manage time, and handle stressful situations calmly.  When children have glaring deficits in one or more of these skills, a parent may be at a loss as to how to help.  Dr. Peg Dawson and Dr. Richard Guare have developed a series of books that guide parents through not only helping their children and teens, but also to work on weak areas in their own executive functioning that might be interfering with their success.

Dawson and Guare list the following as executive functioning skills:


  • response inhibition (impulse control)
  • working memory (keeping track of things)
  • emotional control
  • task initiation (not procrastinating)
  • sustained attention (focus)
  • planning/prioritizing
  • organization
  • time management
  • flexibility
  • metacognition
  • goal-directed persistence
  • stress tolerance


We all have different strengths and weaknesses in these areas.  As we grow older, most of us either strengthen our weak areas or find ways to compensate for them.  For example, "working memory" is something I have less and less of these days.  To compensate, I write lists, leave notes, use electronic reminders, or put trigger items in a place where I know I will see them.  Task initiation is another weakness of mine.  While I fight procrastination daily, I manage it in various ways.  Dawson and Guare suggest starting small, and building in achievable rewards.  For example, when I find myself putting off cleaning the house, I can decide to clear off two tables and vacuum for 10 minutes, and then reward myself with a cup of fresh-brewed coffee and my favorite creamer.

In some cases, weak executive functioning skills go hand-in-hand with learning disabilities, but once the skills are addressed and strengthened, the student is better able to compensate for his learning issues.  Soberingly, Dawson writes, "weak executive functioning puts (students) at risk for compulsive, addictive behaviors, including substance abuse, unprotected or random sex, gambling, eating disorders, self-mutilation, preoccupation with appearance, emotional difficulties such as mood swings, suicidal thoughts and aggressive behaviors, and poor academic planning and success." (See more here.)  So waiting for your child to grow out of his problems and magically acquire the skills he needs is not always a safe way to go.

Part of good parenting is helping our children build competence in executive functioning skills, so that they can eventually live on their own and keep a job successfully. Some parents have the same strengths and weaknesses their child has, while others have very different ones; either way, there is help.  For parents of elementary through middle school age students, Smart but Scattered is an excellent resource.  Then there is Smart but Scattered Teens.  Smart but Scattered Guide to Success is for the adult who would like to improve his own executive functioning.  All of these are available on Amazon kindle, or in hard copy from the publisher.

In these books, the authors explain that there are basically three ways to help a person with weak executive functioning:  change the environment, teach the skills, and provide incentives.  For example, if your child has trouble keeping her room clean, you could:

1) Change the environment by providing specific organization and storage helps in the room-- a laundry basket, labeled toy bins, bookshelves, closet organizers, and school supply caddies.

2) Teach the skills of organizing, task initiation and item management by first showing the child (or helping him develop) a step-by-step process for cleaning: make the bed, put dirty clothes in hamper, clean clothes in designated closet or drawers, put trash in trash can, place toys in designated storage, dishes and other stray objects in appropriate places, books/papers/school supplies in designated places, vacuum floor.  Provide (or help child make) a checklist, set of task cards, picture board, or whatever suits his level of maturity.  Finally, provide reminders and support until the child is able to complete the task consistently on his own.

3) Provide your child with incentives that are both appropriate and motivating.  A four year old might be spurred on by, "Let's pick up your toys, so we can go to the park and play!"  A fourteen year old might be more motivated by, "When your room is clean, you may go to the movie with your friends." Different children are motivated by different things, and these books provide suggestions for tailoring the incentive to the child.

You may know adults whose specific executive functioning weaknesses have been crippling, sometimes leading to financial ruin, job loss, divorce, and other disasters.  Others may just be frustrated by their own disorganization or procrastination tendencies.   The skills of competent adult behavior can be taught, and these books can help parents do just that.

Tuesday, February 16, 2016

Singapore math diagrams: word problems you can see

I was looking at a word problem this week, and the operation that I knew I was supposed to do on it just didn't look right.  The problem went something like this:


Betty crocheted 5/6 of a blanket, then her cat came along and unraveled 3/5 of what she had done.  What part of the whole blanket did the cat undo?

I knew this was a multiplication problem, but it just didn't feel right-- I couldn't see the logic of what was happening.  I know "of"-- as in 3/5 "of"  5/6 -- generally translates to multiplication, but my comprehension broke down somewhere between having 5/6 and then talking about the whole blanket.  Happily, I have years of experience using Singapore math models, so I knew exactly how to draw it out so I could make it make sense.

One of the strengths of Singapore math is that students use models to work a problem.  With these models, even young, concrete-thinking children are able to solve problems that normally require the use of algebra or complicated algorithms.

Here's how it works:

1. Betty crocheted 5/6 of a blanket   Draw a bar that represents the blanket and divide it into 6 pieces.



Now identify the part that was crocheted.

2. ...then her cat came along and unraveled 3/5 of what she had done.  

Looking at the bracketed sections, we notice there are five.  So 3/5 of the five sections is three sections, which we color in:




3. What part of the whole blanket did the cat undo?

Now it's fairly obvious that the cat unraveled half of the whole blanket.

So, now I can go back to the original problem and see if multiplication gives us the same answer:




Hooray!  It does-- 15/30  reduces to 1/2  (or by cross-reducing in the first place, I would have ended up with 1/2 right off.)  So multiplication was the way to go, whether it made sense at first or not.

Another example, one that would normally require algebra, might go something like this:

Betty has twice as many cookies as Freya had last night.  This morning, Freya ate five of her cookies, but Betty ate none.  Now, Betty has four times as many cookies as Freya.  How many cookies does Betty have?

So, again, we start with a bar.

We can model the first sentence like this:

Betty has twice as many cookies as Freya had last night. 



Here, the top divided bar represents the number of Betty's cookies. The bottom bar represents Freya's cookies.  We draw a line in the middle of Betty's bar, exactly in line with the end of Freya's bar,  to show that it is twice the value of Freya's.

We can color in Freya's bar or leave it blank.





The next two sentences go together:

This morning, Freya ate five of her cookies, but Betty ate none.  
Now, Betty has four times as many cookies as Freya.



Betty's bar is still the same size, because she still has the sam number of cookies.  But now we divide it into four equal pieces to show that it is four times the number of Freya's current number of cookies.

We keep Freya's bar the same size, to show what she started with.  But now, we use the 1/4 piece of Betty's bar to measure what's left of Freya's cookies.  Here, we colored in the remaining value for Freya's cookies.  And since we know that Freya ate 5 of her cookies, we know that the difference between the original length of Freya's bar and the new length is 5.

Since we see by the diagram that the 5 cookies turned out to be half of Freya's original amount of cookies, we can fill in each segment with the quantity of 5.

So, Betty has 20 cookies!


To solve this algebraically, we would have done something like this:

Betty has twice as many cookies as Freya had last night.  This morning, Freya ate five of her cookies, but Betty ate none.  Now, Betty has four times as many cookies as Freya.  How many cookies does Betty have?

F = the number of Freya's cookies.
B = the number of betty's cookies


Betty has twice as many cookies as Freya had last night.     B = 2F

This morning, Freya ate five of her cookies, but Betty ate none.  
Now, Betty has four times as many cookies as Freya.                          4(F-5) = B


And solve for F by substitution:  

2F = 4(F-5)
2F = 4F - 20
2F-4F = 4F-4F - 20
-2F = -20
-2F/-2 = -20/-2
F = 10

Then solve for B:

B = 2F
B = 2(10)
B = 20

Yeah, I'm liking those math diagrams!


Tuesday, January 19, 2016

Spelling and Grammar Analysis

Some students appear careless in their writing and spelling, using random capitalizations, omitting punctuation, and spelling words as if they are just throwing the letters at the paper in any order.  I've seen this even in high school students.  My suspicion is that they are reading and writing (and thinking) so fast that they don't see the details.  And since writing instruction these days rarely gives children a solid foundation in "conventions" (another post, some day), students may not think these things are not important.

But of course they are.

When students analyze the spelling and grammar of selected passages, it helps them slow down long enough to notice the details.  You start by giving the students a short passage of good writing (a paragraph is fine), appropriate to their reading level.  Here's how it works:

1. For spelling analysis:  Have them choose 5-15 specific words from the passage: animal words, nouns, verbs, words with four or more letters, or two or more syllables-- whatever fits the passage and their ability.  As they list the words on a separate sheet of paper, have them divide the words into syllables.  Finally, have them underline each sound in the word with an alternating color.

Example:    e x      a m      p le               sh ee t

2. For grammar analysis, choose a specific skill/rule the student needs to work on and have the student analyze the passage for the use of that rule. For example, to practice capitalization, the student can divide a blank sheet of paper in two columns, labeling one "First Word in Sentence," and the other, "Proper Nouns and Titles."  Then he just finds every capitalized word in the passage and writes it in the appropriate column.  Note: when a proper noun begins the sentence, it goes in both columns.

Example:  My brother Rob is older than I am.  Rob lives near Grand Rapids, Michigan.

Any other grammar issue can be analyzed in this way.  If the student needs to work on subject verb agreement, have her find the subject and verb of each sentence and list them in the columns.  If she needs to work on punctuation, give her a list of punctuation rules that are followed in the passage and have her label each one.

Here's an example with the rule list and the labeled passage:


The main point of this analysis method is to have students pay attention to the mechanics of good writing.  The more they notice, the more they will process, and it will begin to show up in their own writing.


Sunday, January 3, 2016

Beginning to write and read with Letter Stories

I came across a resource last week that I would love to try out-- but alas, I have no pre-readers to try it out on!  Jill Pike's Printing With Letter Stories  ($19, Institute for Excellence in Writing) is a set of reproducible, ready-to-go lessons for teaching letters.  Each letter is introduced with a funny picture and a "story" (one or two lines) that cleverly helps the student remember how to form the letter as well as a sound that it represents.  From the IEW website:  Example: The letter c is the happy letter, because he is a cookie that someone bit: c, c, cookie! The letter o is the sad letter, because he is a cookie that nobody bit. He says, “Ah,” (short o sound) “nobody took a bite out of me!”

The little stories in this program remind me of Times Tales, a resource for for memorizing multiplication facts.  One of my students said Times Tales made the facts "sticky," so they would stay in her brain.  I suspect Letter Stories will make learning to read "sticky" for many currently frustrated children.

Printing with Letter Stories includes a lesson for each new letter, and after every few letters there is a review.  Initially, the letters are copied into squares-- which I think is a super idea, much easier than trying to form the letters on a line or a group of lines.  The lesson plans include introducing secondary sounds and capital letters, and there are games along the way. By lesson 20, the student begins copying simple words (and since he knows the sounds of the words, he can easily read them), and later transitions into writing on lines.  By the end of the book (lesson 45), students are writing complete sentences.

This resource is not necessary for every child, of course-- many learn their letters and sounds effortlessly simply by being read to-- hearing Dr Seuss' ABC over and over, for example-- and have little trouble writing the letters once their hands can hold a pencil.  However, for those who could use some fun infused into their early literacy endeavors, I heartily recommend this resource!

As a follow-up to this program, I would advise checking out Reading Reflex, a wonderful hands-on program which will introduce sounds represented by two or more letters, words with two or more syllables, and longer stories for your child to read.  The two programs combined are less than $40 and, in my opinion, take a child from complete beginner through at least the second grade reading/writing level, if not further.