Tag: parents

  • Mathematician Parent: David Chandler

    Mathematician Parent: David Chandler

    Most parents aren’t professional mathematicians. But there are a few. This is the first in a series of interviews with mathematician parents with the goal of helping parents integrate math teaching into parenting. See the list of interviews here.

    I had the privilege of interviewing David Chandler, a physics and math teacher. He runs Math Without Borders, an ongoing project to supplement high school math textbooks with Home Study Companions, to make them useful for homeschoolers and adults for self-teaching.

    Last week I published an article about mazes that was inspired by some of his work with homeschoolers. He does some really cool things!

    MathFour: Thanks for taking the time to answer some questions, David. First, what’s your degree and career? And how long have you been in math?

    David: I have a BS in physics (1970), an MA in education (1975), and an MS in mathematics (applied math) (1997). I have taught physics and math (high school, Jr. college, some K-12) since 1972 and done other math-related projects on the side (inventions, design projects, publishing, curriculum innovations).

    MathFour: Tell me about your family – how many kids do you have and how old are they? Are any of them more or less interested in math than the others in the family?

    David: Two daughters born in 1974 and 1979, making them currently 37 and 32. B1, my older daughter, went through Alg II. She had some excellent teachers and some rather poor teachers. She would freely come to me for help and discussion. My younger daughter, B2 didn’t want the discussion. She tended not to come to me because she just wanted to know how to do the immediate problem at hand and got irritated when I said any more. As an adult she went back for more math as a prerequisite to other course work (involving logs, trig, etc.) and got tutoring from me over the phone. She values the explanation thing more now. My wives have not been mathematicians.

    MathFour: Did you have any worries about your daughters academically? In particular, did you think they would do better in math than in other subjects because of your influence?

    David: I think they both got the point that math is about understanding and problem solving and creativity. Both are academically well rounded.

    MathFour: How did you play with your girls? How do you play with your grandchildren? Did/do you view playtime as different in any way than other “non-mathematician” parents?

    David: I engage in a lot of banter that is probably math-influenced. When they say to me “Happy Birthday” I say back to them, “Happy Birthday to you too,” in the sense that she can be happy on my birthday. This year B1 sent a Facebook message, “Happy Birthday to us all.” That’s not explicitly mathematical, but it is the kind of thing Sheldon might say. I came up with a song that eliminates the asymmetry of l-m-n-o-p so you could sing the alphabet both forward and backward and taught it to my grandkids. Every rainbow we see is a physics excursion into dozens of phenomena. Theme park rides are, of couses, a learning experience. We have lots of “shared learning experiences.” Whenever something triggers a new insight in me, they are definitely exposed to the excitement it generates. They know what it is like to experience the world through eyes informed by physics/math awareness.

    Screenshot from David’s Algebra II with Trigonometry Home Study Companion

    MathFour: Do you think you speak with your daughters or behave differently than other parents because you have a math background?

    David: I don’t talk down to them, but I don’t overwhelm them in jargon either. I wonder about a lot of things out loud. I critique the world with a quantitatively informed (and order of magnitude informed) crap detector in their presence. I model inquisitiveness and observation and show appreciation when it is a shared endeavor. I think that attitude has rubbed off on both of them, possibly genetically as well as environmentally.

    MathFour: Have you ever had either of the girls express negative thoughts about math?

    David: Not really, except for B2’s impatience for my explaining in too much detail, and a tendency to go on too long when her attention has already shifted.

    MathFour: Have you ever disagreed with one of your daughter’s math teachers?

    David: Yes. B1 took Alg II in India where I was teaching at an international school. Her teacher was a young, very traditional Indian woman who spent a week or so teaching them how to read log tables, including interpolation, funky work-arounds for logs of numbers less than 1, etc. It was a total turnoff to the class, all of whom had calculators by then, and seeing this drove me up the wall.

    MathFour: What happened; how did you handle it?

    David: I discussed with B1 how all of this was now outdated and how using logs to solve exponential equations, using log paper, modeling perceptual phenomena with log scales (dB’s, astronomical magnitude scale, octaves, etc.) was really where it was at. I approached the teacher about this issue, as tactfully as I knew how. She listened politely, and didn’t react in an overtly negative way, but she may have been overwhelmed by me. She didn’t change what went on in class. I taught B1 a lot of things not in the book, and better ways to do things, but this didn’t generally lead to direct interactions with the teachers.

    MathFour: Now to change direction a little to a more worldview of math. What do you see as the biggest challenge in math education today?

    David: Getting kids to quit memorizing things and start digging for understanding. Also seeing math not so much as a body of knowledge as a mindset.

    MathFour: What do you see great happening in the world of math education?

    David: Internet communication for discussions like these. New insight-generating computational tools (Geogebra, Geometer’s Sketchpad, Tracker, spreadsheets, etc.) and their use in the classroom. What goes on in my (and presumably a lot of other) classrooms despite regressive influences like high stakes testing, minimum standards which become maximum standards, etc.

    MathFour: What advice can you give to non-mathematician parents that might help them raise their kids to like and appreciate math.

    David: Learn some math, engage in problem solving, problem posing, observation of the world, cultivating a sense of wonder, taking curiosity a step further and digging a little, model these for your children, etc.

    MathFour: Thank you for taking the time to answer our questions, David!

    How about you – do you have any questions for a mathematician parent? Share them in the comments – we’ll see if we can get David in here to answer them!

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  • How to Quit Saying “I Hate Math”

    How to Quit Saying “I Hate Math”

    Is changing how you feel about math like changing who you are?

    My Little Brother is a licensed professional counselor. He often tells me that you can change your attitude by changing your behavior.

    Apparently the behavior-attitude door swings both ways. If you don’t want to do something because you feel frustrated, do it anyway and that will clear up the frustration.

    So that’s how you can get your attitude and your child’s attitude aligned with positive feelings of math.

    Stop saying angry math things.

    I’ve pointed out that the real place kids learn math is at home. And I’ve discussed why grown-ups should quit talking about hating math. But until now, I’ve never said how to do this.

    Because it’s easier said than done right? When you’re frustrated, or your children are frustrated, you’ve gotta say something. So you can’t “just stop.”

    HOW do you quit saying “I hate math” (when you really do hate math)?

    First, make a list of all the math things you do (download the handy helper here). Here’s a starter list for both you and your children:

    • I know how long it takes to get dressed and so I can calculate when I have to wake up in the morning.
    • I can figure out if our car is getting good gas mileage.
    • I can figure out if I have enough money saved to by a nice toy.
    • I know what I have in savings and if that’s enough to buy the fancy shoes I want.
    • I know how many minutes it takes me to walk to my friend’s house.
    • I know that riding my bike to my friend’s house is faster than walking.
    • I know that in the past I couldn’t reach the middle of the dinner table, and now I can – because my arms are longer.
    • I can figure out how much I’ve grown in the past year by looking at my growth chart.

    Copy your list and put it on the refrigerator, in the bathrooms, on the front door and next to your bed. When you find your child or yourself wanting to say, “I hate math,” instead say, “I can do math because __” and fill in the blank with something from the list. If you need to, continue like this:

    This particular math problem I’m working on is more challenging than what I already know, but it isn’t hard. I just have to figure it out. And since I’m smart enough to do all that other math, I can figure this out!

    The behavior of changing what you say will have a positive affect on how you and your children feel about math!

    Try it. Let me know how it goes!

    This article was previously part of a We Are That Family “Works for Me Wednesday” post.

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  • How to Tell if Your Child Is a Top-Down Learner

    How to Tell if Your Child Is a Top-Down Learner

    Does your child struggle when you put him down in front of his math book? Are you frustrated in your attempts to get him to do math classwork or homework?

    Maybe he’s a top-down learner. If so, you might not know based on his current “regular” work. It will help in his education if you know he needs the big picture before the details – or the big theories before the steps.

    I remember learning to do derivatives when watching the foster kids that lived with us. I was eight. I’m a top-down learner. Here’s how to find out if your child is one too:

    How the “green beans” con works.

    My mom used to leave green beans open in a can on the table. We would walk by and eat them. If she put them on our plate, we would refuse them. So she got us to eat vegetables without asking us to, by just making them available.

    You can use the “green beans” con as a test.

    For math, put out the harder stuff. Find some books at Half Price Books or someplace cheap in your area. Open up the book. Sit and do some of the math yourself while mumbling aloud. Then walk away.

    If he sees his folks (or older sibs) working through those problems, he might be interested. Watch to see if he goes up to the book to check it out (steal a green bean). Be available to answer questions if he asks.

    If he can grasp some of  that “higher level” stuff, he’s probably be a top-down learner. He won’t want the building blocks until he sees the plans for the whole house. This could be the cause of some of the struggle and frustration – he’s been given the building blocks instead.

    Let him have the big stuff – start “allowing” him to do more of the advanced books. He’ll back up on his own to learn the “lesser” stuff so he can understand the big stuff better. You won’t have to force the work on him anymore.

    Share your experience with your top-down or bottom-up learning in the comments!

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  • Birthday Math: How to Celebrate with Math

    Birthday Math: How to Celebrate with Math

    Do you try to integrate math in everything? Would you like to? How about integrating it into birthdays?

    It’s Husband’s birthday today. He’s 42. But instead of just saying, “Husband’s 42,” I can say he’s 13.37pi years old. (At that site you can also find an “exact” pi birthdays in case you want to celebrate at some other time.)

    He’s also 15,340 days oldThis site calculates months, hours and seconds too.

    He’s 2×3×72 \times 3 \times 7 years old. His age is also the second sphenic number. What’s that? I’m not sure – but if you click on your child’s age on this Wikipedia page, you’ll get some fun sounding words for their number that they can use all day! Here are some for your kids:

    He can go here to find out that he was born in MCMLXIX. This nifty birthday math trick will result in the number 4.22 (April 22 – his birthday!). Or this one which will result in 42269 (also his birthday).

    For some fun birthday math, he (and you) can check out The Birthday Problem – also known as the birthday paradox.

    How will you celebrate a family member’s next birthday? Will you use birthday math? Share your thoughts in the comments.

  • The Real Place Kids Learn Math

    The Real Place Kids Learn Math

    Where did you learn math?

    I’ll bet the first answer you have is, “in school.”

    In my recent research of different types of math teaching, including dancing, literature and gaming, it’s occurred to me that I didn’t learn math in school. I learned arithmetic, I learned algorithms, but math?

    I learned math at home.

    My dad is an engineer, and by nature not a teacher. But we did puzzles. Cryptograms from GAMES magazine, computer-based role-playing games and TV-based video games. He wasn’t one for shoot-em-up or beat-em-up games (although swords were essential). Everything we did had logical thinking.

    My mother was an English major. She encouraged memorization of both prepositions and multiplication facts. And she played word games with me.

    Puns have a special kind of logic to them. As she was punning around with me, I was learning a unique set of skills.

    Of both of them, I was allowed to ask questions. Any questions. And I did. And they answered them.

    Everyone learns math at home.

    As a parent, your daily actions impact your child mathematically. It’s not your skills with pencil and paper that help you teach math, but who you are.

    You connect with your children and understand them because of your similarities to them. Remember how you learned math. Not how you learned arithmetic and algorithms, but math. The art of math.

    That’s your key to helping your kid learn math.

    How did you learn math? Can you use this to help your children? Teachers – how can you help parents tap into this side? Share your thoughts in the comments.

  • How to Check if a Number is Divisible by 3 or 9

    How to Check if a Number is Divisible by 3 or 9

    This is a trick that everyone should learn in the 3rd grade. If not, then at least by the 9th grade.

    If you’re in the dark on this one, no big deal. Now’s the time to learn. If you’re a parent – this trick will win you points like crazy. Especially if you get to it before the teacher does.

    So here’s how it works. For both 3 and 9, start by adding up the digits in the number. If the result is divisible by 3, then so’s the original number. If the result’s divisible also by 9, then… you guessed it… so’s the original number.

    If your result is way to big to tell, do it again. Check out the videos for both:

    Questions or comments? Leave them in the comment section below.

  • Why Grown-ups Should Shut Their Traps about Hating Math

    Why Grown-ups Should Shut Their Traps about Hating Math

    A big thanks to @dansmath at DansMath.com for this post suggestion.

    1. Do you hate math?
    2. Do you really hate math?
    3. Do you have kids?

    If you answered yes to any of the above questions, this post is for you.

    I’m not here to convince you to love math. I’m not even here to help you not hate it. But if you’ve got kids around, you gotta do something about your vocalization of this.

    We want the next generation to be better than the previous generation – in everything. That’s our nature as parents and people.

    In order to improve the next generation, the previous generations must either die or shut their traps. This is the case with racism, sexism, creed-ism and sexual orientation-ism. And it’s the case with anti-mathism, as well.

    You certainly don’t want to die before your children finish their eduction, so you gotta learn to keep quiet.

    Zip your lip for yourself.

    Southwest Airlines tells you to put on your own oxygen mask before you help others put on theirs.

    Your first step is to get yourself out of the habit of saying negative math things. This will make it easier when refraining from talking bad about math in front of kids.

    If you’re math phobic, start doing this when you’re pregnant. If you will never have kids, do it anyway. Children are everywhere – you might’ve noticed.

    The more you say it, the more you believe it. Which makes you say it even more.

    Use this to your advantage, not your disadvantage. Every time you say, “I’m bad at math,” you get worse. You are the smartest person you know and you should believe whatever you say. Which means whatever your tell yourself will be true.

    So tell yourself that math is okay. And if you can’t muster this, tell yourself something you are good at.

    Don’t let your friends do it either.

    If your friends say they hate math in front of your children, correct them. Treat this behavior just as you would if your friend said the F-word.

    Give them “the look.” Correct them with other words like, “Math has always been an interesting challenge for Aunt Sophie… right?

    Be an example.

    Your children take to heart what you say. They want to be like you. If you hate math, they want to hate math too. Even if they really don’t.

    So when you feel the words coming toward your lips, force something good to come out. If you can’t say, “Math is fun” without cringing, tell them something you are good at. Anything works. Even if it seems lame.

    Instead of:

    Kiddo: Awww! I have to do fraction homework today. I hate fractions.
    Grownup: I know, sweetheart. I never liked math either.

    Try this instead:

    Kiddo: Awww! I have to do fraction homework today. I hate fractions.
    Grownup: Well, I’m good at cooking chicken!

    Kiddo will think you’re nuts, but won’t associate any negativity to math. And since he already thinks you’re nuts, you’re good to go.

    Use distraction.

    If finding something you’re good at doesn’t come quick enough, scream some random swearword and say, “Oh my goodness I can’t believe I forgot…” and run out of the room. Compose yourself, prepare a short  sentence or two and go back into the room.

    Some sentences to consider are:

    • Where were we Kiddo? Oh right, fractions. Well, fractions help us share things. If you, your dad and I want to share a pizza, we need fractions in order to divide it up. If you do your homework with fractions, I’ll let you divide up the pizza that we get at Chuck E Cheese’s on Saturday!
    • Fractions are interesting because they have two parts – a top and a bottom. You have a top and a bottom! Do your fractions and then we’ll wash your top and your bottom in the tub before dinner.

    Avoid statements like, “Fractions are good for you.” Math shouldn’t be equated to vegetables. They’re good for you but you have to tolerate them. That may be your opinion, but remember were trying to improve the next generation.

    So…

    When negative math-speak comes to your tongue, say something else, anything else. Do it for you, do it for the children. Don’t die, but do shut your trap.

  • How to Subtract Using Reverse Addition

    How to Subtract Using Reverse Addition

    This was requested by Jake’s Mom. Since she was taught to borrow, she was dumfounded at what Jake brought home. Happily, Jake is young enough and unscathed enough to not balk at a “different” method than what his mom was taught. He got it right away.

    But Jake’s mom, on the other hand, is struggling.

    If your kiddo is being taught this, here’s a way to look at it that might help you understand what’s going on.

    First, a brief review on the relationship of subtraction to addition:

    Here’s what “reverse addition” looks like in relation to our old friend “borrowing,” using the same example:

    And here’s an example:

    Another example (along with a special tip for you):

    And a final example, just to help you get the hang of it.

    Still have questions? Post them in the comments.

    Thanks, Jake’s Mom, for the question!