Category: Math for Teachers

  • Wooden Sandals: A math lesson

    Wooden Sandals: A math lesson

    When I was a teenager in the 1980s, I wanted a pair of tan Dr. Scholl’s sandals so badly I could taste it.  Each time my mother took us to the Eckerd drug store, I made sure to stroll down that aisle to check them out.

    “Those are the dumbest shoes I’ve ever seen in my life,” Mom said, and she flat out refused to buy them for me.

    Today, I’d have to agree.  With hard, wooden soles and an adjustable strap that featured a gold buckle and grommets, these were not what Tim Gunn would consider classic fashion pieces.

    But I wanted those shoes dearly.

    They cost $14.95—pricy for a kid with no job and a $1 a week allowance.  My mom suggested I save up my own money for them.  But savings from my February birthday was long gone, and by the time I saved enough allowance, summer would be over.  These shoes were definitely not fall footwear.

    So, my mother came up with another idea: to ask my father for a loan. And that’s exactly what I did.

    Both of my parents were educators—my mother an elementary school librarian and my father a division chair and sometimes-teacher at the local community college.  It’s fair to say that the man never missed an opportunity to give me a lesson about money management.  And these lessons also often included a little bit of math.

    The Dr. Scholl’s loan was no different.

    Instead of giving me the money outright and keeping my allowance for the next 15 weeks, I got a simple-interest loan that was to be paid within a certain time period.  I don’t remember how long the term or what the interest rate was. But I did continue to receive my weekly allowance and paid a portion of that amount each week for the loan.  Dad even helped me calculate how much more I’d be paying for the sandals with the interest.

    As a kid who only wanted her hands on a pair of fad sandals, I thought this was overly complex.  But my desire for those shoes was great, and this was the only way I’d get them.  So I agreed.  I signed the contract he wrote out by hand and paid off that loan, plus the interest, bit by bit.

    Today, as the parent of an 11-year-old daughter, I’m amazed by my father’s foresight.  It really is a brilliant little trick, and one that has served me very, very well.

    Six years later, my dad took me down to the Bank of Speedwell to get a loan for my first car—a 1984 Toyota Camry that I bought from my aunt for $2,000.   This time he explained compound interest, just before he cosigned for the loan.

    And that lesson didn’t stop with me.  Two years later, my sister gave me the most amazing gift when I graduated from college—an upright piano that she purchased from a neighbor.  She paid Bud and Ginia Cabell $20 a month for I don’t know how long.  (And now my daughter plays Mozart waltzes on that very instrument.)

    Dad with my niece Addison in 2006

    The thing that I know about my dad is that he wasn’t afraid to delve into the tough stuff with us—including managing our money.  That often required a few calculations, and I often resisted his lessons.

    When it came to these little real-world lessons, I’m sure I was a royal pain in the you-know-where, but in the end, those experiences were much more meaningful than anything I learned in school—and they were less expensive than anything I could learn on my own.

    My daughter hasn’t asked for her version of ugly, wooden sandals, but I’m waiting for that moment.  And when she does, I’ll be ready with a contract and a little lesson in simple interest and regular payments.

    Did you get any surprise lessons like this one when you were little?  Or do you have plans to do something similar with your own kids — or grandkids, nieces, nephews, neighborhood kids?  Share your stories in the comments sections below.

  • Film Friday: The amazing abacus

    Photo courtesy of andreas.rodler

    So, I’ve seen an abacus (or the plural, abaci), but until this video, I’d never seen one in action.

    Now, I’m not a big fan of speed in math, but I have to admit this is pretty darned cool — especially when the kids imagine the abacus to solve problems without it.

    But how does an abacus work?

    There’s a great (though complex) explanation here.  But here’s the really cool thing: to use an abacus, you have to have a really strong, knee-jerk sense of numeracy.  So, it’s not so much a shortcut as a demonstration of a great understanding of math basics.

  • Homework Help: 4 middle school math facts you probably forgot

    Photo courtesy of .raindrops.

    Every so often, at around 7:00 p.m., I’ll get a call from someone I know.  “I don’t understand my kid’s math homework,” they’ll say.

    These folks aren’t dumb or bad at math.  But almost always, they’ve hit a concept that they used to know, but don’t remember any more.  And those things can trip them up — big time. So, I thought it might be helpful to review 4 middle school math facts that may give parents trouble.

    Every number has two square roots.

    This is the question that prompted this blog post.  I got a call from a friend who didn’t understand this question in her daughter’s math homework: “Find both square roots of 25.”  Both?

    Most adults have probably forgotten that each number has two square roots. That’s because we are typically only interested in only one of them — the positive one.

    Yep, the square roots of 25 are 5 and -5.  In other words:

    sqrt{25} = 5 and -5

    It should be pretty easy to see why this is true.  (You just have to remember that when you multiply two negative numbers, your answer is positive.)

    5 · 5 = 25

    -5 · -5 = 25

    1 is not prime.

    This question came up in my own daughter’s homework last week — a review of prime and composite numbers.  Remember, prime numbers have only two factors, 1 and the number itself.  So, 7 is prime.  And so are 13, 19 and even 3.  But what about 1?

    Well, it turns out the definition of a prime number is a little more complicated than what we may assume.  And I’m not even going to get into that here.

    But there is a way for less-geeky folks to remember that 1 is not prime. Let’s look at the factors of each of the prime numbers we listed above:

    7: 1, 7

    13: 1, 13

    19: 1, 19

    3: 1, 3

    Now, what about the factors of 1?

    1: 1

    Notice the difference?  Prime numbers have two factors, 1 and the number itself.  But 1 only has one factor.

    0 is an even number.

    This idea seems to trip up teachers, students and parents.  That’s because we tend to depend on this definition of even: A number is even, if it is evenly divisible by 2.  How can you divide 0 into two equal parts?

    It might help to think of the multiplication facts for 2:

    2 x 0 = 0

    2 x 1 = 2

    2 x 2 = 4

    2 x 3 = 6 …

    All of the multiples of 2 are even, and as you can see from this list, 0 is a multiple of 2.

    Anything divided by 0 is undefined.

    Okay, this gets a little complex, so bear with me.  (Of course, if you want, you can just memorize this rule and be done with it.)

    First, we can describe division like this:

    r={a/b}

    Using a little bit of algebra you can get this:

    r · b = a

    So, what if = 0?

    r · 0 = a

    That only works if is also 0, and 0 ÷ 0 gives us all kinds of other problems.  (Trust me on that.  This is where things get pretty darned complicated!)

    So how many of you have thought while reading this, “I will never use this stuff, so what’s the point?” You may be right.  Knowing that 0 is an even number is probably not such a big deal.  But at least your kid will think you’re extra smart, when you can help him with his math homework.

    What are your math questions?  Is there anything that’s been bugging you for ages that you still can’t figure out?  Ask your questions in the comments section.  I’ll answer some here and create entire posts out of others.

  • Film Friday: Extreme tidying

    Film Friday: Extreme tidying

    I’m not sure I could live with Ursus Wehrli.  A Swiss artist and comedian, his ideas of order are a bit extreme.  You’ve probably seen his carefully arranged bowl of alphabet soup:

    This is basic set theory — and we started learning how to do it in kindergarten.  But take a closer look.  While Wehrli decided to put his letter-shaped pasta in alphabetical order with the carrots at the bottom, he could have chosen something different — say vowels first or grouping all of the letters with curves.  (Psst… this is one of those times when math is neither right nor wrong.)

    While it’s easy to see how he arranged elements in sets for this picture, some of his other endeavors are a bit more complex.  See for yourself in this week’s Film Friday clip:

    Now, what do you think?  What is the criterion for each set?  Give me your take in the comments section.

  • Math Secret #4: You do use algebra

    Photo courtesy of .raindrops

    It’s the No. 1 question asked of math teachers: “When will I ever use this stuff?”

    And in terms of upper-level math — conic sections, radicals, differentiation and the quadratic formula — the answer may very well be, “Not much.”  (Unless you’re in one of those jobs with top-paying degrees.)

    As I hope you know by now, basic math is ubiquitous.  We encounter percents, fractions, formulas, the order of operations (Please Excuse My Dear Aunt Sally) and geometry pretty regularly.  But algebra?  When was the last time you solved for x?

    Algebra describes the relationships between values, and how those values change when we introduce variables.  In short, algebra is based on equations or expressions:

    3+x

    x2+4x-7

    y=5x+9

    (Are your hands sweating or have your eyes glazed over? Hang in there.  I promise this won’t be overwhelming.)

    In its simplest form, algebra can be described as the process of solving for a variable.  And you probably did that with random equations for a good portion of your high school math education.

    Boring.

    Except for word problems, none of the equations had much to do with real life, which is one way that we math educators have sucked all of the life out of math.

    But I’m guessing that at least some of you use algebra pretty darned regularly–without even knowing it.  Let me show you how.

    As a freelance writer, I’m responsible for maintaining my business records, which for me include expected and actual income, invoices and goals.  I could purchase accounting software for this or hire someone to do the work for me, but to be honest, my business is pretty small.  I have a lot of experience with spreadsheets, and so six years ago, I built one that I still use to track all of my business finances and goals.

    Why does this work?  Formulas.  One formula gives me the total of all of my invoices for each month and and another spits out the percent those are of my monthly goal.  I have created formulas that give the percent of my income that is generated from each of my revenue streams.  And because of formulas, I can instantly see how much income has been invoiced but not received.

    But maybe this isn’t such a great example.  Most small businesses or self-employed folks use ready-made accounting programs for these tasks.

    Meet my good friend, Rebecca.  Like many of us in my neighborhood, Rebecca’s family gets milk delivered once a week by a local dairy.  (I know!  Cool, right?)  But unlike me, she shares her delivery with her next-door neighbor.  And that requires a little bit of math.  Here’s how she explains it:

    As you know there are bottle deposits, bottle charges, delivery charges and of course milk (or other product) charges. The charges go to only one credit card. Keeping track of these is a challenge if you don’t want to have to write a check to your neighbor every week – and who wants that? So we have worked out a “kitty” (nice, eh, milk – kitty. ha ha) system where we pay a lump sum to the person whose credit card is being charged. But then we have to know when the kitty is running out.

    In other words, each of the families contributes to the kitty, and those funds are used to pay the milk bill on one family’s credit card account.  Rebecca uses a spreadsheet to keep up with how much money is in the kitty at any given time.  When the kitty runs low, she knows to ask her neighbor for a contribution.

    Rebecca’s milk delivery spreadsheet

    Why doesn’t Rebecca ask for the same monthly payment in the kitty?  Well, this is where the algebra comes in.  Not only can we order milk, but also yogurt, meats, eggs and cheese. That means the weekly orders vary.  And — here’s where you can use that English degree — when elements vary, they’re called variables.

    Ta-da!  Algebra in real life.  (Gosh, I’m so proud!)

    These spreadsheet formulas are so useful that algebra teachers are using them to demonstrate how algebra is indeed useful in everyday situations.

    So, when was the last time you used a spreadsheet?  Did you create a formula?  Did you know you were using algebra?  Tell us about it in the comments section.

  • Film Friday: When will I ever use this stuff?

    It’s the perennial question from students of all ages: “When will I use this stuff?” So when tutor, Ryan faced this query (probably for the upteenth time), he took to the streets to find the answer.  What he found is in the video below:

    And of course I have some thoughts — for teachers and students.

    It is absolutely true that series (that’s what the funny looking E — an uppercase sigma — means in this problem) are not the stuff of ordinary folks in non-science fields.  But they’re not as difficult as they seem.  It’s the notation that’s confusing.

    Skip this part, if you don’t really want to do any algebra today.

    A series is just the sum of a sequence (or list) of numbers.  That’s it.  Nothing more, nothing less.  So when you have

    sum{n=1}{7}{3n-1}

    you’re simply saying, “Find the sum of the first 7 values of 3n-1, where the first value of n is 1.” In other words: 2 + 5 + 8 + 11 + 14 + 17 + 20 = 77.

    Now back to my opinions.

    Okay, so I don’t need to know what a series is in order to visit the grocery store or get a good deal on a car or even figure out how much I earned this year over last year.  But here’s what I wish some of those folks who were interviewed for this video had been able to say:

    “That funny-looking E is a Greek letter, right?”

    “Doesn’t this have to do with adding things together?”

    “Hey, I dated a girl from {Sigma}{Sigma}{Sigma} once!”

    And second, this tutor did pick a humdinger of a problem to focus on.  Series (and their brothers, sequences) are not the main focus of any mathematics course.  But honestly, they wouldn’t be taught if they weren’t useful somewhere.  And boy-howdy are they useful!

    So, here are a few ways that real people do use series in their real jobs (courtesy of Algebra Lab and Montana State University:

    1.  Architecture:  “An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats. How many seats are in the theatre?”

    2.  Business: “A company is offering a job with a salary of $30,000 for the first year and a 5% raise each year after that. If that 5% raise continues every year, find the amount of money you would earn in a 40-year career.”

    3. Investment Analysis: “A person invests $800 at the beginning of each year in a superannuation fund.  Compound interest is paid at 10% per annum on the investment. The first $800 was invested at the beginning of 1988 and the last is to be invested at the beginning 2017. Calculate the total amount at the beginning of 2018.”

    4. Physics: “The nucleii of a radioactive isotope decay randomly. What is the total number of nucleii after a given period of time?”

    And this brings me to some additional news of the week.  Sol Garfunkel (Consortium for Mathematics and Its Applications) and David Mumford (emeritus professor of mathematics at Brown) made a bit of a splash on Wednesday, with an editorial in the New York Times: How to Fix Our Math Education.

    Their proposal is that we teach tons of math that applies to everyday life — and focus on those applications. (Yay!) And we ditch “highly conceptual” math for folks who won’t need it for their jobs. (Boo!)

    Hopefully, you’ve already identified the problem: How do we know if a kid won’t decide to go into physics or engineering or high school math education? Hell, how do we even attempt to lure them into these fields, if they don’t see the math at all?  (And by the way, physics, engineering and applied mathematics were recently identified as the top-paying degrees in the U.S.)

    Look, I empathize with the student who isn’t interested in what any of the Greek letters mean in math class.  And I think it’s true that most folks won’t use these skills at all after high school.  (It is worth mentioning that everyone depends on series in their daily lives–they just don’t see the math.) But my response to the kid who asks, “What’s this good for?” is to tell him where it can be applied.

    And if he says he won’t be going into any of those fields, I would say, “Suck it up, cupcake, because you’re too darned young to know for sure.”

    Please share your thoughts in the comments section.  Do you agree that these concepts should be taught in high school, even though most kids won’t use them in their everyday lives? How do you think we should encourage more students to go into science, technology, engineering and math (STEM) fields? 

  • Top 10 Highest Paying Degrees

    Estimated reading time: 1 minute, 31 seconds

    Photo courtesy of gadgetdude

    “Holy crap!”

    That’s what I indelicately exclaimed when I saw the list of 10 highest-paying degrees, as determined by the PayScale College Salary Report.  I didn’t expect to see American Literature or Elementary Education, but I also didn’t expect this.

    1. Petroleum Engineering

    2. Chemical Engineering

    3. Electrical Engineering

    (Seeing a trend here?)

    4. Materials Science and Engineering

    5. Aerospace Engineering

    6. Computer Engineering

    (What do these things have in common?)

    7. Physics

    8. Applied Mathematics

    9. Computer Science

    10. Nuclear Engineering

    Dang, that’s a lot of math there.  Here’s some more: The typical entry level salary for someone with a petroleum engineering degree is $97,900.  The typical entry level salary for someone with a degree in, oh let’s say, English is $30,968.  The English major can expect to earn about 32% of what the petroleum engineering graduate earns.

    So, I’m not breaking my promise that you don’t have to be BFFs with math.  But I do want to point out that math-intensive degrees are getting a lot of attention from employers, who are willing to pay big bucks.  If I had to guess–and this is just a guess–some of the reason that engineers, physicists and applied mathematicians earn so much is because there aren’t many of them.  At least compared to the number want ads in these fields.

    So, if you’re a parent or a high school kid or a college student thinking of changing your major, consider the sciences (for your kid or yourself).  If you’re afraid of the math, learn to cope with your anxiety.

    Or at least don’t diss these geeks.  Their bank accounts are probably bigger than yours.

    Don’t know what a physicist or applied mathematician might do?  Over the weekend, I interviewed a physicist who helped develop a math model that can predict how a tumor will grow and metastasize.  Save

  • Feeling Anxious about Math? Here’s how to cope

    Photo courtesy of Sasha Wolff

    Earlier this week, I provided a guest post about math anxiety and kids for Imp3rfect Mom.  I wasn’t surprised to get a comment from a reader asking about how to deal with her math anxiety.

    My son is an adult so my question concerns me. I’m almost 60 and I’ve been mathphobic (big time) since I was in 6th grade. At that point math just crashed and burned for me and I struggled for the rest of school. Now I am self studying for a designation related to my job (the job itself doesn’t require math ability) but I have to learn some equations for the Time Value of Money for the last exam. I look at that chapter and just freeze. I actually am telling myself “well, if I just skip that part and study real hard, I’ll still pass the test.” This is ridiculous! How do I conquer 50 years of Fear of Math?

    I’m sure you can hear the frustration in her writing.  (Do you ever feel the same way?)  I anxious about certain things–making difficult phone calls, traveling to places where English is not the predominant language, or asking someone for help when I’m lost.  (That last one is so silly, isn’t it?)

    I’ve talked about the roots of math anxiety–the insistance that the goal is the right answer, timed calculations and an expectation of perfection–but now it’s time to share some ways to cope.

    Allow yourself to fail. This is not so easy when you’re dealing with your finances or preparing to take a test.  But when you’re learning (or relearning) something, you will make mistakes.  Heck, even when you have something down cold, you can screw up.  If you’re feeling anxious about math, set up low-stakes scenarios when failure isn’t a big deal.  Try things on your own, for example, and allow someone you trust to check your work.

    Ask yourself, “How hard can it be?” I’ve said this before, if I can do this stuff, so can you.  I don’t have the typical “math brain.”  I can’t do mental calculations, and sometimes I forget really basic facts like 6 x 7.  And believe me, if a fourth grader can do these tasks, so can you.

    Make it fun.  I swear, I’m not violating math secret #3 (You Can Skip the Love). You don’t have to have fun or love math to be good at it.  Still, if you’ve read my book, you know what I mean.  Too often, math is cut-and-dry, boring numbers.  When it’s presented or explored using real-world stories with funny characters, it’s a lot more tolerable.  So, whether you’re studying for a test or trying to explain a concept to your kid, try making up problems using Sesame Street characters or your crazy Aunt Miriam who has 76 cats and wears a fedora. The sillier the better.

    Find resources that work for you. I’m a big DIYer.  And everything I know about sewing, painting, renovations and carpentry, I learned from Google.  I promise.  Besides my book, there are amazing resources out there for folks who need a little refresher.  You can even find videos on YouTube or Flickr tutorials.  But be careful: sometimes mathematicians think they’re being really helpful, when they’re not.  Don’t let yourself be overwhelmed by minute details or unrelated tangents.  Click through these resources quickly until you find what you need.

    Trust your gut. Just because a textbook or a friend has the information you need, doesn’t mean you need to follow that advice or process.  This is the beauty of being a grownup–we don’t have to follow the rules that a teacher sets out for us.  Think about when you feel comfortable with math.  Is it in the kitchen? When you’re gardening?  When you’re doing your budget? What is it about that process that is less threatening?  Use what you know about yourself–and your learning style–to step into these other, scary places.

    So I’d love to hear from you now.  What tricks have you used to conquer your anxiety or fear–about anything?  If you have dealt with math anxiety in the past, what has helped? Share your ideas in the comments section.

  • Get the Anxiety Out of Math

    “Math is fun power” Photo courtesy of dtweney.

    Things that make many kids anxious: a new school, big dogs, the deep end of the swimming pool, bees, strangers, nightmares, math.

    Did you notice something there?  For many children, math and bees are equally frightening or at least nerve-wracking.

    Not all kids have math anxiety, but it’s not uncommon for elementary, middle or high school students to express nervousness about learning math or taking math tests.  At the same time, these students may also feel less confident in their math skills or even say that they hate math.

    Want to know how to eleviate math anxiety–for your kids and yourself? Check out my guest post at Imp3rfect Mom.  You could win a free copy of Math for Grownups!Would you like me to guest post at your blog?  Or do you know of a blog that I would fit right in with? I’ve got lots of ideas to share with anyone who will listen! And I promise I’m a good guest.  I wipe out the sink after I brush my teeth and don’t mind if the cat sleeps on my pillow.  Get the details here.

  • Early Math for Babies and Parents

    Turn “Goodnight Moon” into a math book by counting selected items on each page.

    When my daughter was born more than 11 years ago, I knew a few things: Physically connecting with her would help us bond, breastfeeding is best, and reading to her—even at a very young age—was critical for later language development.

    Even when she was a mere four months old, she had an established bedtime ritual, which included at least 10 minutes of reading.  But no one mentioned math.  Apparently, infants can appreciate Goodnight Moon, but not Euclid.

    My kid was lucky, though.  With a math educator for a mom, she got a great foundation in math well before she could even walk.  I didn’t have special plans to introduce math early; I just did it.But what’s a non-mathy parent to do?Find out in my guest post at One Mama’s Daily Drama. (Psst… it’s not hard at all!)Would you like me to guest post at your blog?  Or do you know of a blog that I would fit right in with? I’ve got lots of ideas to share with anyone who will listen! And I promise I’m a good guest.  I wipe out the sink after I brush my teeth and don’t mind if the cat sleeps on my pillow.  Get the details here.What kinds of math activities have you done with your kids?  Share your ideas in the comments section!

  • The Arithmetic of Allowance

    Photo courtesy of webflunkie

    You probably find it pretty darned easy to encourage literacy. In fact, there are countless magazine articles and books and workshops out there on this very subject. And so all good parents read to their kids every night, play word games with them, give them magnetic letters for the fridge.

    But what about math? If you’re like most parents, the idea of working math into the day probably seems down right daunting. Scary even.

    It’s not as hard as you think, especially if you’re willing to give into your children’s demands for a regular allowance. Money is an instant math lesson—and can motivate even the most reluctant student (adult or child).

    Want to know how? Read my guest post on Simply Budgeted.

    Would you like me to guest post at your blog?  Or do you know of a blog that I would fit right in with? I’ve got lots of ideas to share with anyone who will listen! And I promise I’m a good guest.  I wipe out the sink after I brush my teeth and don’t mind if the cat sleeps on my pillow.  Get the details here

  • Math Secret #2: You Were Born This Way (take 2)

    Photo courtesy of woodleywonderworks.

    All summer long, we’ve seen some pretty amazing research on math ability and education.  We’ve been told that understanding geometric concepts may be innate and that elementary-aged students with a good sense of numeracy do better in math by the 5th grade.  And yesterday news of another study hit the internet.

    According to the headlines, we were born either good or bad at math.  At least that’s how this study is being interpreted by bloggers and news outlets.  Except that’s not necessarily what the study concludes.

    This makes me mad.  Really mad.  I have not read the full study, but nothing in the abstract–or even the stories and blog posts about this study–suggests that people are born with or without math ability.  Instead, it seems that the cheeky headlines were just too good to pass up.

    Here’s what the study author, post-doctoral student Melissa Libertus, does say:

    The relationship between ‘number sense’ and math ability is important and intriguing because we believe that ‘number sense’ is universal, whereas math ability has been thought to be highly dependent on culture and language and takes many years to learn… Many questions remain and there is much we still have to learn about this.

    And here’s the nitty gritty on the study itself.  A group of 200 children, with an average age of 4 years old, was given a number sense test. (You can take the exact same test here).  These children were then asked to perform a variety of age-appropriate math tasks, including counting, reading numbers and computations.  The results make a lot of sense: children who performed well on the number sense test did better on the math tests.[pullquote]No one says that we’re born good or bad at reading.  We’re all expected to learn to read–and read well. So why do we say that about math?[/pullquote]

    But the results seem to be misrepresented by media and others.  These kids were selected precisely because they haven’t had any formal math education.  They’re preschoolers.  So, according to many news reports, kids are either born with number sense or get it from formal education.

    Rubbish.

    If you had a child in the last 10 or 15 years–or know someone who has–you are probably familiar with the big, big push for early literacy. Parents are encouraged to read to their kids, even when they’re babies, which research has shown helps the children develop age-appropriate literacy skills. In fact, kids who have had access to pre-reading experiences as infants, toddlers and preschoolers do much better with reading in elementary school.  (This is one of the tenets of Head Start programs around the country.)

    No one says that we’re born good or bad at reading.  We’re all expected to learn to read–and read well. So why do we say that about math?

    Just like the researcher, I think this study raises more questions.  And here’s the really big one: What can parents do to boost their kids’ numeracy before formal education begins? (I actually wrote about this earlier this week.)

    I still maintain that we are born with an innate understanding of math–just like we’re born knowing something about language.  But without stimulating this understanding, kids can fall behind their peers or at least not reach their full potential.  We read to little children so that they can learn to read on their own.  And we should be doing something similar with kids so that they can do math.

    A friend and fellow math blogger, Bon Crowder has launched an amazing program she’s calling Count 10, Read 10. It’s a simple idea: Parents should spend 10 minutes each day reading to their young kids and 10 minutes doing some sort of math with them.  But nobody is saying flash cards, worksheets or chalkboards are necessary.  The trick is to sneak the math into everyday activities, which can be as simple as counting the steps your new walker takes.

    So here’s what I think happened with the news reports of this study: reporters, editors and bloggers simply tapped into their own misconceptions about math–and even their own math anxiety–and distorted the message.  For many people, it’s a “fact” that some people are just naturally bad at math.  I hope you’ll help me challenge that notion.

    Meanwhile, be careful what you read.

    P.S. A great math educator, David Wees has also chimed in on this topic, and shares–more eloquently–some of the same concerns I have.  Read it!

    So what do you think? Are people born good or bad at math? Can parents help develop numeracy in their children?  How?  Share your ideas in the comments section.