Math for Parents – Math for Grownups https://mathforgrownups.com Books to improve your math Sat, 27 Jun 2020 11:08:35 +0000 en-US hourly 1 https://wordpress.org/?v=5.4.4 Math at Work Monday: Colleen the Academic Advisor https://mathforgrownups.com/math-at-work-monday-colleen-the-academic-advisor/ Mon, 23 Mar 2015 10:43:13 +0000 https://mathforgrownups.com/?p=1555 For students these days, GPA is everything — so you’d better get it right! Today I interviewed Colleen Angaiak who has been an academic advisor for eight years. She helps kids calculate their GPA, set goals for the future, and much more. I found her math journey very interesting. Can you explain what you do for [...]

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For students these days, GPA is everything — so you’d better get it right! Today I interviewed Colleen Angaiak who has been an academic advisor for eight years. She helps kids calculate their GPA, set goals for the future, and much more. I found her math journey very interesting.

Can you explain what you do for a living?

I work with undergraduate students, mostly freshmen and sophomores, to help them navigate the world of higher education. My primary task is to help students choose and register for classes each semester, but because our office focuses on Alaska Native and rural Alaskan students, we provide what we call comprehensive advising. This means that we help students with financial aid, including completing the FAFSA and applying for scholarships; deciding on housing and dining options; assisting with career development, including resume writing, applying for jobs, and long-term planning; and social and personal support as well.

When do you use basic math in your job?

The primary area in which we use math is financial aid. Federal and institutional requirements for financial aid eligibility include the GPA (grade point average) and a completion rate. We help students calculate their future (or potential) GPA as well as their completion rates. This primarily involves finding an average (GPA) and a percentage (completion rate). In addition, we use very basic math (addition and subtraction) to help students determine how much they owe the university and how much payment plan payments will be (balance due divided by the number of payments). When we talk with other university departments, we are sometimes asked for simple statistics, such as the persistence rate of our students or number of graduates. Sometimes we receive that information from our department of Institutional Research, but other times we gather the data ourselves.

Do you use any technology (like calculators or computers) to help with this math? Why or why not?

I almost always use a calculator for computing GPA and completion rate as well as determining payments or balance due. This is because I want to be completely accurate when giving information to a student. In addition, I use the calculator on my computer and show the student as I do it so they can see how I reach the figure I share with them. Some GPA calculations are complicated, such as when a student is repeating a class and the new grade will replace the old one in the GPA calculation. For this and a few other instances, our university provides an online tool to determine GPA, and I do use this tool as well.

How do you think math helps you do your job better?

Our office takes pride in the fact that we make every effort to answer as many of a student’s questions as possible without sending them to multiple departments. Because I have the tools to calculate GPA and completion rate, I can help a student right in my office rather than sending them off to the financial aid office. And because I understand how these numbers are calculated, I can do a better job of explaining to students what they need to do next and how long it will take them to meet the standards set by the university or their own goals.

How comfortable with math do you feel? Does this math feel different to you?

I’m not entirely comfortable with math, but averages and percentages are calculations I’ve worked with before. My previous job included teaching GED preparation to adult students, including math, and that experience increased both my math skills and my math confidence. I am very thankful, though, to have calculators and online tools to assist me, and I do sometimes check will colleagues to determine the accuracy of the math I’ve done. I never help students with math homework or taxes, even if they beg!

What kind of math did you take in high school? Did you like it/feel like you were good at it?

I went to a VERY small high school that offered very little math. I was part of a group of 3-5 students who were on the college prep math track, and we took Algebra I, Geometry, and Algebra II, with Geometry and Algebra II being nearly independent study (the teacher was in another room teaching a larger group and checked in on us 2-3 times per class). I enjoyed Algebra and really disliked Geometry.

Did you have to learn new skills in order to do the math you use in your job? Or was it something that you could pick up using the skills you learned in school?

Averages and percentages are pretty commonly used in life. Like I said, my previous experience teaching GED math helped a lot, and I didn’t need a lot of review to pick up what I need for my current position. There is a learning curve with GPA calculation, especially when dealing with special cases and predictions based on multiple possible outcomes, but I do think high school Algebra would probably be enough for anyone attempting to do the math I am required to do.

Anything else you want to mention?

When we talk to high school students who are planning to attend college, we always encourage them to take as much math as they can while in high school, and to not take long breaks between math classes. The more you use math, the less you lose it!

Interested in learning more about Colleen’s work? Ask your questions in the comments section.

Photo Credit: BdwayDiva1 via Compfight cc

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Get the Party Started: Celebrate Pi Day! https://mathforgrownups.com/get-the-party-started-celebrate-pi-day/ Wed, 11 Mar 2015 10:43:18 +0000 https://mathforgrownups.com/?p=1558 If you have the kind of Facebook or Twitter newsfeed that I have, you have likely figured out that March 14, 2015 is pretty darned special. And at 9:26 a.m., there’s even more reason to celebrate. That exact time is the ultimate for us math geeks who are also fond of π. If you write [...]

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If you have the kind of Facebook or Twitter newsfeed that I have, you have likely figured out that March 14, 2015 is pretty darned special. And at 9:26 a.m., there’s even more reason to celebrate. That exact time is the ultimate for us math geeks who are also fond of π. If you write this date and time using only numbers (and strategically placing a decimal point to the right of 3), you get:

3.1415926

And that’s the longest expression of pi we’ve seen in 100 years on Pi Day.

So forget making pies. We here at Math for Grownups are going to be celebrating bigger! And better! From today through midnight on Pi Day (that’s this Saturday, by the way), you’ll have a chance to win great prizes!

π Plates

I’m thrilled to partner with Uncommon Goods, one of my most favorite online retailers for unique gifts and crafts, to offer one lucky winner a set of these clever pie plates. (“i eight sum pi,” they say.)

T-shirt

I designed this shirt just for this celebration. You’ll want to remember this momentous occasion — you know, share it with your grandchildren. The t-shirt is 100% cotton, and you can order it in standard or ladies cut.

Mug

Have a little Pi Day with your coffee or tea? Sip away, while letting your math geek flag fly!

Math for Grownups and Math for Writers

Of course, some lucky winner will take home one of my books Math for Grownups or Math for Writers.

Free Online Learning

And last, but not least, I’ll be offering one person the opportunity to take my new online course, “Stats for Writers,” at no charge.

So how can you win? If you already receive my newsletter, you are already in the drawing. If you’re haven’t signed up? Just complete the form below. After midnight on March 14, I’ll have my computer randomly select the winners. I’ll post their names here and contact them directly.

So what are you waiting for? Sign up for my bi-weekly newsletter, and get a bonus, just because! My guide to overcoming math anxiety: Multiply Your Math Moxie: A Painless Guide to Overcoming Math Anxiety.

Let’s get this Pi Day party started! Sign up below!

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Math at Work Monday: Amy the Pastry Chef https://mathforgrownups.com/math-at-work-monday-amy-the-pastry-chef/ Mon, 09 Mar 2015 07:18:20 +0000 https://mathforgrownups.com/?p=1448 Yummy, yummy in my tummy… the old saying goes. Amy Hassler has been a pastry chef for more than 10 years, and just interviewing her made my mouth water. What a fun job she has!  I guess she’s a great example of someone who needs to know math to do her job and a great example [...]

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Yummy, yummy in my tummy… the old saying goes. Amy Hassler has been a pastry chef for more than 10 years, and just interviewing her made my mouth water. What a fun job she has!  I guess she’s a great example of someone who needs to know math to do her job and a great example of when math can be fun and have big rewards… like a tasty apple pie at the end!

Can you explain what you do for a living?

During my career, I’ve worked for restaurants, retail bakeries, country clubs, and even grocery stores. I make bread and pastries, usually from scratch, decorating cakes and cookies, as well as making candy.

When do you use basic math in your job?

The math I use ranges from the very basic: using measurements like volume, weight, time and temperature, to more common: figuring out food costs in order to determine appropriate price points, scaling recipes, converting measurements when making substitutions, and determining how much of each item needs to be produced in order to meet demand.

Most professional pastry recipes are written by measuring ingredients by weight instead of by volume in order to make scaling more foolproof. For example, if you ask ten different people to measure 1-3/4 cup of flour, you will likely get ten different actual amounts of flour, due to the amount of air left in the measuring cups they used. Depending on whether someone packs the flour or scoops or pours into the cup, each of these results in slightly different amounts of flour. When you work on a small scale, as a home baker does, these differences might not be significant enough to notice. But when instead of making 2 dozen cookies, you’re making 40 dozen, suddenly that discrepancy can make a big difference in the consistency of the finished product. So instead of measuring by volume, we measure by weight. 12 ounces of flour is much easier to multiply by 20 on the fly than 1 3/4 cups!

Do you use any technology (like calculators or computers) to help with this math? Why or why not?

Calculators may be found in some kitchens, but it’s not common, due to the difficulty of keeping them free of contamination while working with food, and it’s difficult to wash a calculator or sanitize it thoroughly once it’s become dirty. We use tools like thermometers and scales for our measurements, though, and it’s very important to keep those tools properly calibrated. Often times, as ovens and other cooking equipment get older, their temperature calibrations may be off, and you need to make adjustments to time or temperature settings to offset the difference. Similarly, a mis-calibrated thermometer can ruin recipes using yeast, chocolate or boiled sugar as all of these behave differently at different temperatures. If a thermometer is off by even just a single degree, it can result in chocolate candies that won’t harden properly.

How do you think math helps you do your job better?

Math equals accuracy! In the food business, food costs can be the difference between a thriving business and bankruptcy. Always knowing how much it costs to produce a finished product based on the cost of the ingredients you use is necessary to make sure that the business is charging the correct price for that product. And proper measurements, including properly scaled recipes when increasing/decreasing batches, means less waste. I’ve seen enormous amounts of food go to waste because someone couldn’t bother to figure out how many trays of cookies they’ll need to fill an order properly!

How comfortable with math do you feel? Does this math feel different to you?

I’m very comfortable with “everyday” math. When it’s used in practical applications, it’s easy for me to grasp. Theoretical math is a whole different story!

What kind of math did you take in high school? Did you like it/feel like you were good at it?

I took an Algebra and a Geometry course in high school, and I barely passed. I was horrible at it and found it very difficult to see the usefulness of it at the time. It wasn’t until I was in college that I gained an appreciation for it.

Did you have to learn new skills in order to do the math you use in your job? Or was it something that you could pick up using the skills you learned in school?

Luckily for me, my culinary degree included a math course designed specifically for foodservice. It focused on the types of tasks we see most often: scaling recipes (taking a recipe written for 2 dozen cookies and changing it to make 10 dozen, or one for 4 pies into one for just one pie), substitutions and conversions of recipe ingredients or measurements, calculating food costs, calculating supplies based on final production target, etc.
I’m pretty sure I’d have figured all of these things out on my own eventually but having the class helped and made it easier.

Anything else you want to mention?

I heard the jokes about pastry chefs a lot in culinary school, and I’ve found it to be true in the real world as well: there is an enormous personality difference between pastry chefs and the standard “culinary” chef. A chef making a soup or pasta dish, for example, can change his mind halfway through the cooking process and add ingredients, or change cooking methods (assuming the chef is skilled enough). Pastry does not work that way. Pastry chefs tend to be quite a bit more scientific and calculating because our products must be perfect before the baking process begins, or it will be ruined. A chef is able to taste his soup and add salt, but if my pie crust needs salt, I have to start over! This difference in styles means different personality types are definitely drawn to one specialty over the other.

If you want to be like Amy, buy the book that will help you with cooking math here. In the meantime, go bake a cake… with correct measurements, of course.

Photo Credit: Canadacow via Compfight cc

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Algorithms: Good for machines, bad for people https://mathforgrownups.com/algorithms-good-for-machines-bad-for-people/ Wed, 25 Feb 2015 07:15:56 +0000 https://mathforgrownups.com/?p=1443 This headline is a lie. It’s not that I think algorithms are bad. They’re not. Honestly, I think that’s how many of us move through our days without killing ourselves or someone else. We habitually take the medications prescribed by our doctors; we cook our eggs (and avoid salmonella); we follow the steps for safely [...]

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This headline is a lie. It’s not that I think algorithms are bad. They’re not. Honestly, I think that’s how many of us move through our days without killing ourselves or someone else. We habitually take the medications prescribed by our doctors; we cook our eggs (and avoid salmonella); we follow the steps for safely backing our cars out of the driveway; we put on our socks before our shoes.

Even certain mathematical algorithms are very useful, like the order of operations (or PEMDAS).

But in the end, I think that dictated algorithms are not so great for people, especially people who are learning a new skill, and especially when the algorithm has little to no meaning or context.

Don’t know what an algorithm is? Check out my earlier post defining algorithms. 

People Aren’t Machines

There are many different educational philosophies that drive how we teach math. For generations, teachers worked under the assumption that young minds were tabula rasas or blank slates. Some educators took this to mean that we were empty pitchers, waiting to be filled with information.

This is how teaching algorithms got such a strong-hold on our educational system. Teachers were expected to introduce material to students, who were seen as completely ignorant of any part of the process. Through instruction, students learned step-by-step processes, with very little context.

In recent years, however, our understanding of neurology and psychology has deepened. We understand, for example, that children’s personalities are somewhat set at birth. And that their brains develop in predictable ways. We are also beginning to realize that certain types of learning and teaching promote deeper understanding.

The result is a better sense of students as individuals. Instead of a class filled with homogeneous little minds, we know now that kids (and grownups) are wildly different–in the way they digest information and approach problems. (To be fair, this is closer to John Locke’s original theory of tabula rasa, in which he states that the purpose of education is to create intellect, not memorize facts.)

In terms of a moral, there’s not much I recommend in this Pink Floyd video, but I can certainly identify with the kids’ anger at being treated like cogs in the educational system. Besides, it’s cool.

A Case for Critical Thinking

Certainly critical thinking is not completely absent in the teaching of algorithms. It’s marvelous when kids (and adults) make connections within the steps of a mathematical process. But critical thinking is much more likely, when the process is more open-ended. Give kids square tiles to help them understand quadratic equations, and they’ll likely start factoring without help. Let students play around with addition of multi-digit numbers, and they’ll start figuring out place value on their own.

You can’t beat that kind of learning.

See, when someone tells us something, our brains may or may not really engage. But when we’re already engaged in the discovery process, we’re much more likely to make big connections and remember them longer.

That’s not to say that learning algorithms is bad. But think of the way you might add two multi-digit numbers without a calculator. Instead of stacking them up and adding from right to left (remembering to carry), you might do something completely different, like add up all of the hundreds and tens and ones — and add again. In many ways, you’re still following the algorithm, but in a deconstructed way.

And in the end, who cares what process you follow–as long as you get to the correct answer and feel confident.

Teaching Algorithms is Easier, Sort Of

So if discovering processes is so much better, why does much of our educational system still teach algorithms? Well, because it’s more efficient in a lot of ways. It’s easier to stand in front of a group of kids and teach a step-by-step process. It’s harder–and noisier–to let kids work in groups, using manipulatives to answer open-ended questions. It might even take longer.

But I say that based on what we now know about kids’ personalities and brains, we’re not doing them much good with lecture-style classes. So in the long run, it’s easier to teach with discovery-based methods. Kids remember the information longer and get great neurological exercise. This allows for many more connections. At that point, the teacher is more of a coach than anything else.

In the end, we all use algorithms. But isn’t it better when we decide what steps to follow, through trial and error, a gut instinct or discovering the basic concepts underlying the process? That’s where we have a big edge over machines. After all, humans are inputting the algorithms that machines use.

Photo Credit: teclasorg via Compfight cc

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Math at Work Monday: Matt the Quality Control Specialist https://mathforgrownups.com/math-at-work-monday-matt-the-quality-control-specialist/ Mon, 23 Feb 2015 07:13:42 +0000 https://mathforgrownups.com/?p=1439 Quality in our car parts is important, would’t you say? I don’tknow about you, but I don’t want to drive down the road using mis-manufactured car parts. Today I had the pleasure of interviewing Matt Case who has been a with American Honda Motor Company for more than 15 years. He is a quality control specialist. Let’s hear [...]

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Quality in our car parts is important, would’t you say? I don’tknow about you, but I don’t want to drive down the road using mis-manufactured car parts. Today I had the pleasure of interviewing Matt Case who has been a with American Honda Motor Company for more than 15 years. He is a quality control specialist. Let’s hear about how he uses math at work.

Can you explain what you do for a living? 

I work as a quality control specialist for American Honda Motor Company, correcting supplier and packager errors. A supplier error results when we receive a notification from a supplier or dealer that a car parthas been mis-manufactured, meaning it wasn’t produced to Honda specifications, or that their is an error in the part’s packaging. My job is to investigate problems stated by dealer analysts and report my findings to them. I also give the recommendation for how to handle the mis-manufactured parts and packaging errors.

When do you use basic math in your job?

I use math when creating end-of-month reports using Excel. I also have to measure parts when investigating the claims. I compare the part to the manufacturer’s drawing detail by detail. I need to know how to find diameters and measure in millimeters as well as use calipers. At times I have to convert mm into inches.

Do you use any technology (like calculators or computers) to help with this math?  Why or why not?

I use Excel, calculators, and of course, a computer. I use a multiplication formula on my computer to do conversions.

How do you think math helps you do your job better? 

Math helps me ensure that parts are acceptable. If I didn’t have basic math skills, I wouldn’t know how to read the manufacturer’s drawing and compare it to the actual measurements of the part.

How comfortable with math do you feel?  Does this math feel different to you? 

I feel comfortable with basic math like addition, subtraction, multiplication, and division. I’m not comfortable using algebra or more advanced math. Math doesn’t make me nervous at work or anything.

What kind of math did you take in high school?  Did you like it/feel like you were good at it?

In high school, I pretty much took basic math classes. During junior and senior year, I went to a trade school (Miami Valley Career Technology Center) where my math correlated with my trade which was engine rebuilding and machining. I can’t say that I liked math, but I did feel that I was competent in it.

Did you have to learn new skills in order to do the math you use in your job? Or was it something that you could pick up using the skills you learned in school?

I already knew how to do the math that I use at work.  Going to the trade school helped me learn how to use the tools that I use in my current position.

Anything else you want to mention?

Even though math may not be the most enjoyable subject, it is important to pay attention and understand the basics of math in order to further your skills as an adult and have a career.

Photo Credit: NiePhotography via Compfight cc

Interested in finding out more about this type of work?  Let me know any questions you have for Matt.

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What is an Algorithm? https://mathforgrownups.com/what-is-an-algorithm/ Wed, 11 Feb 2015 10:35:46 +0000 https://mathforgrownups.com/?p=1541 For years I’ve been telling people that allowing people to discover mathematical concepts is way better than teaching an algorithm. And a few months ago, a smart friend of mine asked, “What’s an algorithm?” Duh. I should probably explain that part, right? It wasn’t that she didn’t have a vague sense of what algorithm means. But in [...]

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For years I’ve been telling people that allowing people to discover mathematical concepts is way better than teaching an algorithm. And a few months ago, a smart friend of mine asked, “What’s an algorithm?”

Duh. I should probably explain that part, right?

It wasn’t that she didn’t have a vague sense of what algorithm means. But in some ways, I was using the term as educational jargon. That’s not cool, so I’m here to correct my bad habit.

Is it better to show kids a step-by-step process for solving problems? Or should we give kids the space to discover mathematical concepts and how to apply them?

In its most basic sense, an algorithm is a set of steps. These steps might be followed by a computer or by a person, depending on the situation. In some cases, you can think of an algorithm as a formula.

Algorithms in Everyday Life

You encounter algorithms all the time. On Facebook, an algorithm determines which posts and advertisements you’ll see in your feed. In Weight Watchers, an algorithm outputs the points value for the food you eat and another spits out your weight loss trajectory. Google uses algorithms to determine search rank. (The more popular the site, the higher its rank.)

Algorithms can make your life easier (or harder, depending on how you look at it).

In these cases, you might consider the algorithms to be formulas. And they are proprietary. There’s no way Facebook, Google or Weight Watchers is going to share these processes.

At the same time, these algorithms can make your life easier (or harder, depending on how you look at it). Certainly, before computers, crunching these kinds of numbers was way more tedious.

Take the enigma decryption project during World War II. (This is the story told in The Imitation Game, a new movie starring Benedict Cumberbatch as the mathematical genius, Alan Turing.) Enigma was a rather brilliant German code that was considered impossible to break. That’s because the code changed every day. Before it could be cracked, the code was altered slightly, always leaving the allies a little bit behind.

Once Turing built his code-breaking machine, the process sped up considerably. With a few standard clues, his invention could spit out the decoded messages in a matter of minutes. Suddenly, the allies had an advantage, which ultimately saved millions of lives.

But Turing likely had a greater effect on our modern lives. He published a paper considering the reliability of certain algorithms–an underpinning of Google’s search algorithms. Turing was one of the first to see the benefits of building machines to follow algorithms that were too complex or tedious for humans.

Algorithms in Math Education

But as a math educator, I’m not so keen on algorithms. That is, I don’t think that teaching certain algorithms is very productive in the classroom. And this right here is one of the cornerstones of the Math Wars: Is it better to show kids a step-by-step process for solving problems? Or should we give kids the space to discover mathematical concepts and how to apply them?

I would say that we need both, but we should rely more heavily on discovery.

So what is an algorithm in the math classroom? The classic example is long division. Most grownups have this process down cold. But it’s incredibly difficult to explain to young students. In fact, it takes most students several years to really internalize the steps.

So what’s the problem? Well, the algorithm isn’t intuitive, and it doesn’t have meaning. That’s no big deal when a machine is doing the calculation–or when the algorithm is so ingrained that the human brain goes on auto-pilot to find the solution. But that doesn’t happen quickly during the learning process. It’s like learning a new language through rote memorization.

In addition, division is a tool that allows us to solve more meaningful problems. When the tool is difficult to learn how to use or must be learned completely out of context, we risk losing kids’ attention in the process.

I’m not completely against teaching mathematical algorithms. I’ve certainly employed long division from time to time as a grownup. But I’m more likely to give that task to the little computer in my smart phone. And at some point, kids should too.

Photo Credit: andywalton7 via Compfight cc

What do you think? Can you describe any mathematical algorithms that you use in your everyday life? When do you let the machine do the work? And when do you do the calculations by hand? Share your ideas in the comment section.

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Math at Work Monday: Audrey the Birth Doula https://mathforgrownups.com/math-at-work-monday-audrey-the-birth-doula/ Mon, 26 Jan 2015 10:35:50 +0000 https://mathforgrownups.com/?p=1544 As a woman, I know there is nothing more life-changing than giving birth to a child. It’s a time when you most need the support of people around you. You need encouragement. I had the pleasure of interviewing Audrey Kalman for this week’s Math at Work Monday. She’s been a birth doula for twelve years [...]

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As a woman, I know there is nothing more life-changing than giving birth to a child. It’s a time when you most need the support of people around you. You need encouragement. I had the pleasure of interviewing Audrey Kalman for this week’s Math at Work Monday. She’s been a birth doula for twelve years so she’s been the support for countless women (and watched a lot of lives enter the world!). What does this have to do with math?  Let’s find out!

Can you explain what you do for a living?

I support women who are giving birth and their families as a birth doula. Birth doulas are non-medical support people, hired by families, who provide informational, emotional, and physical support before and during birth. I meet with families before their babies are born to find out what they’re hoping for; I help ease anxieties and point them to resources. Once a woman goes into labor—or thinks she’s in labor—she contacts me. I then join her at her home or at the hospital and stay with her and her partner until a couple hours after the baby comes. That could be a few hours… or a few days. I do everything from reassuring her (and the dad!) that everything is fine to massaging her back to talking her through a particularly painful or challenging moment. I often describe my role as a “professional sister.” I have up-to-date training and come without the “baggage” of a family member, but I bring the same kind of caring and compassion you might expect from a close relative.

When do you use basic math in your job?

Because I’m self-employed, math is part of the equation (pardon the pun) that helps me figure out how to set my rates and how many clients I need to work with to meet my income goals. For example, when recently deciding whether to raise rates, I researched living wages in my area. I then calculated how many births I would need to attend to make a living wage, looked at fees charged by doulas just starting out, and used a multiplier developed by another doula to account for my years of experience. Then there’s all the lovely arithmetic that goes into tax calculations, though I use a tax calculation program for that.

Do you use any technology (like calculators or computers) to help with this math? Why or why not?

I don’t know where I’d be without Excel spreadsheets. Since I also serve as the administrator for a small group of doulas (we back each other up), I’m responsible for maintaining a spreadsheet to track all of our clients and tallying up who owes what to whom at the end of each quarter. We serve about fifty couples each year so this can get complicated. Using a spreadsheet is the only way to keep track of everything—not only who owes what but also other information like due dates.

How do you think math helps you do your job better?

I absolutely think it helps me do my job better. The hands-on work of being a doula is very intuitive, but the rest is like running any other business. I believe it’s important to be professional which includes creating contracts and invoices for which basic math is certainly required.

How comfortable with math do you feel? Does this math feel different to you?

I’ve always felt comfortable with math. (My mother was a college professor who taught physics and mathematics.) The math I use now feels somewhat pedestrian—it’s really just glorified arithmetic. What’s interesting to me is using problem-solving concepts to help me figure out big-picture questions (as with the rate-setting example I gave above).

What kind of math did you take in high school? Did you like it/feel like you were good at it?

I have always really enjoyed math. I had an unusual education in that I attended an early college now known as Bard College at Simon’s Rock so I took only algebra in high school. I went on to do some interesting math in college, including systems dynamics, but I didn’t pursue higher level math since I was a creative writing major. I did take statistics for my graduate degree in journalism. I think all citizens should be required to take basic statistics!

Did you have to learn new skills in order to do the math you use in your job?

I definitely picked up my spreadsheet skills post-school since nobody was using personal computers when I went to college, but the big-picture thinking and problem-solving skills which I consider to be part of math were definitely something I honed in school and have used ever since.

Anything else you want to mention?

I want to mention another kind of “math” that is related to birth. I think of it as “intuitive math.” It’s what allows me to “feel” whether a woman’s contractions are getting closer together and longer (a sign that labor is progressing). It also allows me to help women through contractions by counting their breaths. Perhaps this doesn’t have much to do with what we typically think of as math, but part of math is all about patterns and cycles—and those are definitely relevant to the process of giving birth.

Intuitive math.  Pretty cool!  I’ve never even thought about that. I hope you enjoyed this interview as much as I did. If you have any questions for Audrey, please let me know.

Photo Credit: phalinn via Compfight cc

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Math at the Movies https://mathforgrownups.com/math-at-the-movies/ Wed, 14 Jan 2015 07:27:58 +0000 https://mathforgrownups.com/?p=1462 I love the movies. If I could, I would watch one every single day. I’m also a bit of a movie snob. I like films that surprise me or make me think. And while I don’t seek out movies that feature math, some of the best movies out there do. Here are a few of [...]

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I love the movies. If I could, I would watch one every single day. I’m also a bit of a movie snob. I like films that surprise me or make me think. And while I don’t seek out movies that feature math, some of the best movies out there do. Here are a few of them.

Good Will Hunting (1997)

Written by Ben Affleck and Matt Damon, Goodwill Hunting won the Oscar for Best Writing, Screenplay. Damon plays Will Hunting, an MIT janitor and math prodigy. Psychologist Sean Maguire (Robin Williams) finally breaks through Hunting’s defenses, helping him to leave his past behind.

Pi (1998)

If you’re looking for something surreal, Pi is it. Filmed in moody black and white, the movie follows mathematical genius, Max (Sean Gullette) , as he searches for patterns in mathematics. At the same time, he’s being pursued by two groups who want his results: a powerful Wall Street firm and a Hasidic cabalistic sect.

 A Beautiful Mind (2001)

Based on the true story of Nobel Prize winner, John Nash, A Beautiful Mind won four Oscars, including Best Picture. Nash (Russell Crowe) is a brilliant mathematician, who has troubling relationships with a former college roommate, a young girl and a Department of Defense agent.

Proof (2005)

As her successful mathematician father, Robert (Anthony Hopkins) descends into madness, Catherine (Gwyneth Paltrow) begins to question her own sanity and mathematical abilities. Proof is based on the Pulitzer Prize winning play by David Auburn.

Moneyball (2011)

The ultimate answer to the question, “When am I ever going to use this stuff?” Moneyball  tells the true story of Billy Beane, the Oakland A’s beleaguered manager, played by Brad Pitt. Given a tiny budget for salaries, Beane games the recruiting system, using a sophisticated statistical analysis program. His methods ultimately change the way all baseball teams build their rosters. Jonah Hill plays Peter Brand, the brains behind the plan.

 The Imitation Game (2014)

Based on the life of one of them most fascinating mathematicians in history, The Imitation Game is the most recent math-centric films to hit theaters. Alan Turing (Benedict Cumberbatch) is the great mind who broke the Nazi’s enigma code, ultimately shortening the war by several years and saving thousands of lives.

With a list like this, you might think that Hollywood is has a great relationship with math. Never fear, this mashup tells the truth. Like much of the rest of society, the movies and television hate or are scared of math. Take a look.

What is your favorite movie or television program about math? What do you think of the movies I’ve listed? Post your comments below!

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Math at Work Monday: Susan Weiner the Chartered Financial Analyst (CFA) https://mathforgrownups.com/math-at-work-monday-susan-weiner-the-chartered-financial-analyst-cfa/ Mon, 12 Jan 2015 07:25:41 +0000 https://mathforgrownups.com/?p=1459 One of the things that excites me the most is seeing someone make a living out of their passion.  I had the privilege of interviewing Susan Weiner today.  She has been in her profession for more than 20 years and is living her passion.  She’s a freelance financial writer and author of Financial Blogging: How to Write Powerful [...]

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One of the things that excites me the most is seeing someone make a living out of their passion.  I had the privilege of interviewing Susan Weiner today.  She has been in her profession for more than 20 years and is living her passion.  She’s a freelance financial writer and author of Financial Blogging: How to Write Powerful Posts That Attract Clients.  She blogs atInvestmentWriting.com/blog. I highly recommend that you check out her work. First, let her tell us a little bit more about what she does and how it involves math.

Can you explain what you do for a living? (Be specific!)

I write and edit white papers and investment commentary for financial firms. You know how some people have great ideas but lack the time or skill to put them into writing? I interview them—and use their data—to put their ideas into persuasive writing. Some of their data include numbers generated using math.

When do you use basic math in your job? 

I use math when I write investment portfolio performance commentary. If you own a mutual fund, you receive semiannual reports about your fund’s performance. Some of that commentary is based on data called attribution analysis. It identifies which investments contributed to positive returns and which investments detracted. This data is reported in percentages.

Let’s consider an example. A stock fund increased in value by 5% over one year. Where did that come from? How much of that was from specific stocks that the fund manager bought or sold? How much was from overall market growth or the performance of a specific industry? The percentages generated by the attribution analysis software explain which decisions helped and hurt the fund. By looking at lots of these numbers and finding patterns among them, I develop an objective basis to write about why the fund performed as it did.

Do you use any technology (like calculators or computers) to help with this math? Why or why not?

I sometimes use Excel spreadsheets to rearrange the attribution numbers to make them easier to analyze. For example, I may sort the list of stocks so that the largest contributor to performance is at the top, followed by other contributors in descending order.

How do you think math helps you do your job better?

Without math, I wouldn’t have any objective data to inform my understanding of fund performance. With math, I can form and test hypotheses by looking at the data. When I get a chance to interview the fund manager, I can ask questions that test and expand on my hypotheses. The numbers don’t tell the entire story, so it’s important to get input from the professionals who manage a fund.

How comfortable with math do you feel? Does this math feel different to you? (In other words, is it easier to do this math at work or do you feel relatively comfortable with math all the time?)

I don’t love math, but I like how numbers make my job easier by providing insights. I do what’s necessary to obtain those insights.

What kind of math did you take in high school? Did you like it/feel like you were good at it?

I stopped after algebra and geometry. I did not take calculus, although now I wish that I had forced myself to struggle through it. Math did not come easily to me.

Did you have to learn new skills in order to do the math you use in your job? Or was it something that you could pick up using the skills you learned in school?

The skills that I had to learn weren’t mathematical. When I studied to earn my credential as a chartered financial analyst, a credential held by many fund managers, I learned about financial analysis. I also learned about Excel spreadsheets, which help me format the numbers to make them easier to analyze.

Anything else you want to mention?

Don’t underestimate the power of learning to write well about the numbers generated by math. That got me one of my first job offers in college, when my statistics professor asked me to help students in his class. Today, writing about numbers helps me to help my clients communicate better.

It sounds like even if you don’t love math, you can learn to respect it and get along with it like Susan does.  Interested in knowing more?  Let me know, and I will make a connection with Susan for you.

Photo Credit: humbert15 via Compfight cc

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We Learn Math Best Through Discovery — And Failure (Video) https://mathforgrownups.com/we-learn-math-best-through-discovery-and-failure-video/ Wed, 07 Jan 2015 07:24:29 +0000 https://mathforgrownups.com/?p=1457 What’s the best way to learn new math ideas? The answer might surprise you. But like learning a foreign language or that the little brake light on your dashboard means get to the mechanic — now! — getting the hang of math may require a little bit of discovery, rather than listening to boring lectures [...]

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What’s the best way to learn new math ideas? The answer might surprise you. But like learning a foreign language or that the little brake light on your dashboard means get to the mechanic — now! — getting the hang of math may require a little bit of discovery, rather than listening to boring lectures or reading books. And getting your Christopher Columbus on means failing a few times too. Here’s how discovery and failure play an important role in math education.

More videos are coming, so please subscribe to my YouTube channel: mathforgrownups.  Also, I hope you’ll share this video on Twitter, using #failureisok and #discovermath and post it on your Facebook page. Share the Math for Grownups love!

As always, I’d love to hear what you think. Ask your questions or share your feedback in the comments section. Were you surprised by anything in the video? What do you think about having to fail in order to learn? Share in the comments section!

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