Monday, May 23, 2011

Academic Rigor

How would you define "academic rigor"?  It is something I always thought I wanted for my children: academic rigor.  One of my favorite homeschool resources (WTM forums) has discussions often about Academic Rigor. It is usually seen as a good thing.  I looked up the word "rigor" on Dictionary.com, and here are some of the definitions of rigor:

1. strictness, severity, or harshness, as in dealing with people.
2. the full or extreme severity of laws, rules, etc.
3. severity of living conditions; hardship; austerity: the rigor of wartime existence.
4. a severe or harsh act, circumstance, etc.
 
Rigor even describes plants living in an unsuitable environment for growth:  inactivity, stagnation, inertia.
Rigor can mean stiffness and an inability to move.
Yikes!
I'm re-thinking this Academic Rigor idea... 
 
 

Monday, May 16, 2011

Ages and Stages

I've noticed a certain trend in learning during ages and stages of development.  Either it's genetic and that's why I see the trend, or it is a common event for a large number of children:)

Age 4-6  Learning happens naturally as a part of life.  They seem to soak things in and ask a lot of questions. For some kids, K-1st gr material will be very easy, as if they already know these things and don't really need to be formally taught.  Innocent and optimistic, the world is full of wonder to be explored.

Age 6-8  Suddenly, they seem aware of what the outside world thinks of them.  They seem hyper-sensitive to criticism and joking.  The workload gets harder and more academic, but the child doesn't quite have the study skills yet to adjust.  This new sensitivity coupled with the increasing challenge of academics creates a real rough patch in the 2nd/3rd-4th grade years.

Age 9 or 10  The "Real" Child emerges.  They come out of that volatile stage.  The parent begins to see a vision of where the child might be headed, his/her strong characteristics, interests, and natural talents. The child enters the "logic" stage, and has a deeper understanding of how things work.  He begins to question, and thinks of the world more critically, challenging ideas. 

That's all I have so far - I haven't seen anything past age 10 yet!  I'd love to hear your experience with your own children. 

Thursday, May 12, 2011

Simple Equations - Horizons' Style

Basic Equations with Variables, in Horizons Math (starting 2nd or 3rd Grade)


Horizons Math teaches Equations, and I think they start this in 2nd grade.  Many math curriculum teach equations with variables, but not quite like Horizons!  I'll give an example:

Most Math curriculum will teach something like this:
x + 6 = 11;
The next step, according to other Math programs is to turn the addition problem into a subtraction problem:
11 - 6 = x;
Then 6 is subtracted from 11 to get 5
5 = x

Horizons Math shows the algebraic step missing in other programs.  Here is Horizons' method:
x + 6 = 11;
Next step is to subtract 6 on both sides of the equation.  This cancels the 6 on the left side, and gets the 6 onto the other side.  It also gets the variable alone, which is what we want;
x + 6 = 11
    -6    -6
--------------
Here, the 6s cancel on the left, and you can subtract 6 from 11 on the right.
x       =  5

I would suspect that many kids have the same reaction as my child: why do it that way?  It doesn't make sense!  I can do it the first way intuitively, and I get the answer just fine.  Why subtract from both sides?  Today I showed it with blocks, and I think it made more sense.  See the video above to see how I explained it with the blocks.  The example problem is
n + 5 = 9

Hopefully, this is enough to get the pattern.  After I explained it this way, my daughter was able to apply the whole "subtract on both sides" idea to her math problems.  Thankfully, she automatically made the connection that she'd use the opposite sign when confronted with this kind of problem:
y - 2 = 8
It seemed intuitive to her to add 2 to both sides.  Thank goodness, because I was having a hard time figuring out how I'd show that with blocks!  Looking online, the explanations get into some pretty big concepts: negative numbers and making 0.  It's not that my daughter couldn't get those concepts, I just hate to pile on too many new concepts all at once:)
Want more?  Here's a Khan Academy video that shows the same thing (without the blocks):
http://www.khanacademy.org/video/solving-one-step-equations?playlist=Developmental%20Math

Friday, May 6, 2011

Curriculum Finds


The slideshow shows all of the good deals I found at the local library. A homeschool parent must have donated the books for the library sale, and for some reason, the library accepted them (they don't usually accept textbooks). I'll list the books here:
Fallacy Detective
Story of the World Books 1 & 2
Oak Meadow 5th Gr History/English & Teacher's Guide
Apologia Exploring Creation with Biology, Exploring Creation with Chemistry (2nd ed), General Science (Chem & Gen Sci both have the answer keys booklet)
Calvert Famous Americans
Calvert Gods of Greece
Spelling Power
Vocab Classical Root Words book B
Elements in the Periodic Table
BJU Geometry Teacher's Guide 1 & 2
World Geography
Life on Earth Teacher Box & Study Guide
Last photo is some of the amazing photos from the Life on Earth Teacher box

I spent about $13 for all of these books!  I like to have a lot of resources on hand for whenever I'm inspired in any given direction.

Saturday, April 30, 2011

Filling the bucket

"We are shut up in schools and college recitation rooms for ten or fifteen years, and come out at last with a bellyful of words and do not know a thing."
Ralph Waldo Emerson

"The only thing that interferes with my learning is my education."
Albert Einstein

“It is a miracle that curiosity survives formal education.”
Albert Einstein

“Education is not filling a bucket, but lighting a fire.”
William Butler Yeats

Ask most homeschool moms for their ultimate educational goal, and they will answer, "I just want my kids to have a lifelong love of learning".  We have a fear that by using textbooks, workbooks, paper and pencil we are killing the joy of learning, and developing children that run screaming from anything remotely interesting.  And so, the circus begins.  We ditch curriculum and pick up something "fun". We implement projects with lots of coloring, cutting, and pasting. We practically stand on our heads in order to make learning fun, and make it stick with our children for a lifetime.  Every heavy sigh, or complaint "I hate..." (science, math, reading, etc.) is taken as our personal failure.  There you go again, Mom: you just killed their love of learning!

The advice typically is: "back off and let them develop their own interests".  How long should a parent wait?  One month?  One year?  Five years?  Twelve?  We don't want to fill their buckets, we want to light their fire for learning.  This is coming from a homeschool mom that has had the same fear, heard the same anti-educational rhetoric, and read the same advice over and over again.  And now I'm ready to challenge that idea.  It's wrong, and I'm not going to sit idly by hoping that some spark gets caught between here and age 18.  I'm also not going to stay up until 4am recreating a rainforest in my livingroom, so that my kids can learn about the Amazon (as cool as that sounds...)

I have enough to worry about as a homeschool mom.  Can I set any expectations at all for my children?  Should I not ask them to think or work or study at all?  It's bad news, but on a shopping trip, most children would rather look at the entertaining boxes of cereal than calculate which deal is better: 2 for $5 or 3 for $6.  Most children do not want to apply themselves, challenge their current level, and put forth work to go farther in their studies.  That's what the parent is for.

Mom (Dad, Legal Guardian, or Personal Tutor) need to set some goals.  These can be co-operative goals, or completely parent enforced.  You decide what needs to be learned; you decide what needs to stick.  And you decide how much those things need to be enforced, or reinforced.  You also pick the materials, and you stick to it (by golly!)  It's OK.  Most likely, you aren't killing anything, even if your child's complaints sound like the neighbor's cat is being skinned alive. 

Go forth and fill that bucket!  (And maybe a fire will get lit along the way...)

Wednesday, April 27, 2011

The Reward System

At one time or another, the homeschool parent will try offering a reward for learning or in order to encourage a type of behavior in their child.  The reward system is supposed to motivate children to do what their parent wants them to do: but it is typically not something the child would do on his own.  The reward is supposed to offer the incentive necessary to motivate the child, when the thing itself is not very motivational.

I used the word "supposed" a few times.  Some parents have found a lovely gem of a tool to use over and over again.  Other parents have thrown up their hands and said "nothing motivates my child!"  In the documentary, Freakonomics, the reward system is disproved as a valid method for motivating *most* children.  In the documentary, they explain the results of a study put out by a university, in which low performing students in a high school are offered a large sum of money to boost their grades.  The study results were disappointing: far less students made the effort to study then expected.  The money was nice, but it wasn't enough to make a change in many students' behaviors. 

One of the authors of Freakonomics describes his experience with potty training his daughter with M & Ms as the reward system.  His results were very much the same that I experienced:  a child able to manipulate the system for M & Ms, but not actually willing to become potty trained.

I've given the reward system a bad rap over the years, and did not believe it to be a good option for my own children, until recently.  I think I've hit upon the secret of using the reward system successfully.  First, I'll share a story:

Over a year ago, I realized the need to teach my children their multiplication facts.  I had had a baby and was incredibly busy changing diapers, doing laundry, and catching up on sleep with cat naps.  This did not make a good homeschool teacher.  I recognized this need and hoped to encourage some independence in my children.  Afterall, the facts had to be memorized, one way or another.  I offered a reward, with the hopes that they would take a month, learn their facts, and happily take what I offered.  At first, my oldest (then age 9) was motivated and began studying her facts.  She memorized 2s, and a little bit of her 3s before giving up.  When I asked her about it, she blamed me: I wasn't providing the activities she needed to learn them.  I explained that this was her job: if she really wanted to learn them, she would devote the time and effort to studying them.  She shrugged mysteriously, and that was that. 

One year later, I decided that if I waited for her to become motivated, she would never learn her facts.  I set up timed drill and enforced practice every single day.  In less than 2 months, she had 0-5s memorized.  She earned the first half of her reward: lunch at a fast food restaurant.  The second reward will be given once she can complete 0-9s.  Through this story, I learned that the reward system CAN be used successfully, but not in the way you might think...

Set up very clear expectations. 
"Learn your multiplication facts" is not a clear enough goal.  If your child can come up with the answer to 9x9, but makes 2 erroneous guesses first, or it takes 30 seconds to figure out the answer, is it truely mastered?  I researched typical expectations for the task and maturity level and came upon this goal:  Math facts are mastered when each fact can be answered in 3 seconds.  If my daughter can complete a 100 problem worksheet in 5 minutes, with 0 incorrect, she has the facts truely mastered.

Don't expect it to motivate or change behavior
Unfortunately, if you want it to happen, you're the one that needs to move heaven and earth to make sure that it does.  Enforce the learning, making certain that progress is being made.  The reward itself is not enough to motivate most students.  You provide the structure and ensure that your student is working toward the goal.  If left to be done independently, don't be surprised if your student lacks motivation.  Once you've seen the goal met, don't forget to reward yourself, too! (Afterall, teaching is hard work).

If I'm doing so much work, what is the purpose of a reward, then?
Even though you're overseeing the work and making sure that it gets done, there are definite benefits to using a reward to encourage your student.
  1. It provides more than just "because I said so".  It offers another reason to meet the goal. 
  2. Finally meeting the real goal gives your student a sense of success and accomplishment. 
  3. The reward offers a tangible way to see that the goal was accomplished and is a way to celebrate. 
  4. You're training your child to learn how to set goals, work toward goals, and set rewards for themselves when they are older.
In conclusion -
The reward system can offer real benefits to your child; however, do not expect that to be enough.  Your child may not show the independence and work ethic that you are hoping to see.  If the task is valuable enough to you, you'll need to see it through to make sure that your child does it.  Set realistic and clear expectations so that both you and your child can measure their progress and know when a goal has been met.  You will need to enforce the task and make sure that it is being worked on regularly.  Give the reward once the task has been completed.  This can give your child a real sense of accomplishment, is a way to celebrate the goal in a fun way, and can teach your child how to set their own goals and rewards in the future.

Sunday, April 17, 2011

Successful Education (links) and a commentary

As a follow-up to my earlier link, Finland's Education Success, I thought I would post some other "finds".  These links were originally posted on The Well Trained Mind forums, a site dedicated to Classical Education.

How Do Successful Schools Treat Teachers?  From Huffpost Education

Your Child Left Behind from the Atlantic, an article that challenges our excuses for falling behind (our diverse culture and teaching non-English speaking immigrants, and that our culture simply cannot be compared fairly to Finland)

So....what does this mean for us homeschooling parents? 

I am conflicted by this question.  As a homeschool mom, I want my children to develop self-study skills, independence in their education, and I want them to own their education.  My oldest daughter is only ten; I never excelled at Algebra and Geometry, so I have this hope that she is able to own this subject as she matures.  Reality is, she'll probably have questions and lack understanding (just like she does now, which is pretty normal for most kids). 

However, the teacher is important.  How can we homeschool parents build our own skills as home educators?  How can we be better teachers?
  • we can study and learn about the subjects we teach
  • homeschool parents can mentor each other, offering support and help
  • we can try different strategies in our teaching so that our children understand
  • we can learn about good teaching techniques and implement these techniques where it makes sense in the homeschool (not all good teaching strategies in a school setting will work in a home setting)
  • we can recognize the advantage we have as parents: we know our children, love them, and have a relationship with them.  This naturally adds to our "teaching skills" and we can use this knowledge and caring to be good teachers.