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Real estate appraisers: whether you love them or hate them, they’re a necessity.  Sometimes we may disagree with their figures, but as Tim Lane shows us, the facts are the facts.  And how does Tim get to those facts? Math of course.  This math has a purpose, backed by meaning, and it’s hands-on.  Tim shows us some of the inside scoop in the field of real estate appraisal.

Can you explain what you do for a living?

The job of a real estate appraiser is to determine what the property is that is being appraised: is the property a single family home, a duplex, an apartment building or something else? As well, what is the home in terms of age, size, construction quality, bedroom/bath count, and other features? Once this has been determined, the appraiser’s job then shifts to the task of analyzing the market area. This includes an analysis of the area on a large scale (city wide) relating to economics and the economic base, then a second analysis of the specific neighborhood within the city to determine what is happening in that neighborhood with real estate price trends, supply and demand, and what features or amenities are most important at this time. Finally, all the data comes together into a 30-40 page report in which all the data is given to the client. Contrary to what most people think, appraisers do not set the value of a property, we simply report what is going on in the area, and what a property is likely to sell for based on other recent sales in the area that are as similar as possible to property being appraised.

When do you use basic math in your job?

From start to finish. Initially, we have to use math to determine simple things such as how much time it takes to get from one property to another, what is the distance between them, and how many hours of daylight we have to work with to get everywhere we want or need to be in a day’s time. Math continues when looking at economic statistics to determine market trends ranging from basic issues such as determining if the area has an oversupply of available real state as compared to what the market has demonstrated can be sold in a given time frame, determining how much of a decline a market may see based on different rates of oversupply, using statistics such as regression analysis to determine a market’s reaction in terms of real dollars to different features or lack of a feature in a home. Math is used to determine the living space of a home, the size of the lot, to determine fractional increments of return on the dollar for investments made in a property.  If the property is income producing, we use math to determine an investment rate of return for dollars investments, sinking fund factors, future value of a dollar, and to help determine what type of funds need to be set aside each month for repairs of items such as roofs, HVAC systems, water heaters and other components of a home. Finally, appraisers use math to determine the cost to build a home.

Do you use any technology to help with this math?

We do use calculators and computers heavily. Calculators such as an HP-12C has been the industry standard for the real estate and finance industry for 25+ years. Software providers in the industry do all they can to calculate as many equations as possible so that we can cut down the time it takes to produce a report. Software such as Excel make complex equations much easier. However, if anyone wants to be an appraiser they are still required to be able to do all the math–much of which is very complex–with a simple pencil and paper, in order to be certified by a state and the federal government.

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

Math certainly helps appraisers do our jobs better. Most appraisers are very adept at being able to simply see a property, and know what it is likely to sell for. However our clients such as banks, accountants, lawyers, and tax courts simply will not accept a quick email with a value. Everything the appraiser says has to be backed up with provable facts; this is always rooted in math. Whether it is the size of a room, the size of a home, the size of a lot, the value of an additional bath, or the value of an additional quarter acre of land, it all has to be proven to our clients beyond any shadow of a doubt. Math is the only way to accomplish this level of proof.

How comfortable with math do you feel?

Initially, as I began to get into appraising, I wasn’t comfortable at all. Algebra and geometry play heavily into real estate appraisal, and I was never a standout in math class. Just sitting around doing math problems over and over, with no real purpose to the questions was extremely monotonous. However, once I began to actually see a purpose and a reason to do math, and had a real reason to apply the knowledge to something concrete, it became much easier. Never in my wildest dreams would I have ever believed I would use any math beyond basic addition, subtraction, multiplication and division, but I do every day now.

What kind of math did you take in high school?

I avoided math like the plague. I was forced to take Introduction to Algebra, which was the worst year of my life at the time. I later took Algebra I, which turned out to be even worse! Then geometry, which I loved! But still, math was math and that was all I was required to take, so that is all I took.

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

Yes, I did have to learn some new skills to do my job; and in some cases I had to simply relearn what I had assumed I would have no reason to remember. Real estate appraisal obviously has roots in real estate, and just as much in finance, investments and banking as well. No basic public schooling teaches this type of math. Some math skills transfer well such as word problems, or some geometry, but much of what is needed is more complex financial based math that relates to business math, statistics, projections, finance, and investments.

Questions for Tim?  Let me know, and I’ll see if he can squeeze in an answer between calculations.

It’s been a long while since I’ve posted a new Math at Work Monday interview. But this feature remains one of the most popular here at Math for Grownups. Perhaps that’s because teachers and parents like to prove to their kids, “See, you will use this stuff one day!” And I imagine that others stumble upon it while looking for career advice. At any rate, it’s been an eye-opening experience for me, too. And here are a few lessons learned.

People don’t know they’re doing math

I’ve intentionally  focused on careers that are not traditionally STEM related — from a textile designerto an FBI profiler to a children’s book author. And almost everyone says the same thing: “I don’t use much math in my work.” Then they follow up with a revelation – they do more math than they think!

People do the math they want to do

This makes a lot of sense. Why go into a career that requires skills you don’t have? Those folks who really dislike calculus are most likely not going to become physicists. Folks who hate statistics avoid careers in research. And people who have a disdain for geometry aren’t likely to become carpenters or architects. At the same time, when someone feels drawn to a career, they’re willing to whatever it takes to be successful. That often includes a little bit of math.

People do a lot of mental math

While most folks I interview say that they check their work with a calculator or good old back-of-the-envelope calculations, a fair amount of math is being done in their heads. This may be as simple as using fractions to mix the perfect hair color to deconstructing formulas so that the math can be done in the field, say on a fish hatchery.

People also depend on technology

When it comes to money, especially, or critical situations, like healthcare, a computer, spreadsheet or calculator is often a necessary tool. But often these require a clear understanding of the math going on. It’s not enough to give someone some software. These folks must know how the math works in order to use their technological tools.

People often don’t have a good relationship with math

This is kind of sad to me, but it’s been very true: I rarely meet someone in a non-STEM field who says that they really understood math in school and now feel really confident in their skills. Yet, all of the folks I interview for Math at Work Monday do use math. That says to me that their issues with math are often in their head – and probably not really their fault. The reality is that our educational system and other adults often fail us in this regard. It’s not about making math fun. It’s about making math useful.

I’d like to keep Math at Work Monday going, but I need your help. Do you know someone who would be interested in being interviewed? Think of basic fields: home improvement, medicine, the arts, law, public service and more. Does your partner use math in his work? What about your next door neighbor or your sister? The answer is yes, and I’d like to interview them. Shoot me a line at llaing [at] comcast [dot] net, and I’ll reach out to them.

What have you learned from the Math at Work series? Have you been surprised by anything? Share your thoughts in the comments section.

P.S. I wanted to explain why I was so silent last week. Because of the horrific events in the U.S., I felt it would be trite to post about Math Awareness. Clearly our national attention was needed elsewhere, and so aside from a Boston-related post, I made the decision not to post. My thoughts continue to be with everyone in Boston and West, Texas.

I’ve been dying to have a fashion designer in this spot for a very long time. So when designer Sole Salvo‘s message arrived in my inbox on Friday morning, I was thrilled! As an avid sewer — who doesn’t like using patterns — I am fascinated with the process of fashion design. I know there is a lot of math involved. Some of it has to be a gut instinct — how will this angle work on a human body? And some of it is very calculated — what do I need to add in order to get a 5/8″ seam allowance?

Sole has been working as a designer for nine years, currently working for a large clothing company in New York. Here’s how she uses math in her job.

Can you explain what you do for a living? 

I design women’s clothing. I sketch new styles then give the specs (measurements of the garment, like length, waist measurement, neck drop etc) to the tech designer or pattern maker to make a sample. I pick out fabrics, colors and trims, like buttons and thread, to complete the look of each garment. Once my seasonal collection is complete, I review it with my merchant team who decided what to buy for the store.

When do you use basic math in your job?

Math is important for design. We have to measure our sample garments to know where we need to add or subtract fabric to make the garment fit well. Additionally a strong understanding of geometry is important for understanding how the flat pattern shape will make up into a 3D garment as well as what part of the flat pattern to change to fix the fit.

Do you use any technology (like calculators or computers) to help with this math?

I usually don’t use technology for this myself because the calculations I have to do are usually simple, like adding 1/4″ here and 1/8″ there, but my cross functional partners on the tech team do use a computer program to digitally manipulate the flat garment pattern. I use Illustrator to draw my flat sketches — these are the detailed sketches that the factory pairs with the measurement specs to make up the sample. These drawings have to be very accurate and clear so the factory can see each detail of stitching and seaming, as well as the overall proportion and look of the garment.

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

Without math it would be impossible to keep sizes consistent, and it would be impossible to draft a garment pattern. In addition it would be impossible to create trim pages — the list of trims required to make a garment. We use numbers on those as well to tell the factory how many buttons to use on each shirt. The factory must multiply the number of buttons by the number of shirts they are making to order enough buttons. It becomes very important when ordering because if you make a little mistake on a style that has 100,000 pieces on order, all of a sudden you could wind up with 100,000 too many buttons!

How comfortable with math do you feel?

I feel very comfortable with math in what I do. I deal with whole numbers and simple fractions for the most part.  I also have a strong sense of geometry. I can visualize what a pattern piece would look like if it is draped on the body, and this helps me design and also helps me make comments in my fittings.

What kind of math did you take in high school?

I took algebra, geometry and calculus.  Algebra was manageable, geometry I could do with my eyes closed. I can essentially reander 3D models in my head, so anything that involves shapes and how to manipulate them comes naturally to me. Calculus was more of a challenge. When it came to doing more complicated problems, I struggled. I did ok in the end, but I had to really study in calculus.

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

Knowing how to add fractions comes in handy every day.  Also area is important. If you are working on a garment, sometimes the size might be right, but the fabric is just distributed in the wrong place. To fix it, you might have to keep your total area the same, but just shift it around to make it lay flat or to drape just the right way.

Thanks so much, Sole! If you have questions for her, ask them in the comments section. 

While we’re on the subject of museums, I thought I’d introduce you to Cecilia Meisner, who is the Director of Grants and Government Relations at the Baltimore Museum of Art (BMA). In short, she’s a fundraiser, specializing in writing grants (rather than asking folks like you and me for donations). These grants may come from foundations or government agencies or corporate funding divisions. 

And with a newly renovated contemporary art wing, the BMA can use all of the funds it can get. Naturally, Cecilia uses quite a bit of math in her job. Here’s how.

Can you explain what you do for a living?  I oversee fundraising from foundation, corporate, and government sources to support The Baltimore Museum of Art.  A lot of my work is writing (grant proposals, reports, letters of inquiry or acknowledgement), but I also do a lot of work with creating grant budgets, tracking grant-funded expenses, and reporting back to the funders.

When do you use basic math in your job?  It can be as simple as applying a percentage to a salary to show the value of staff benefits in a grant proposals, and as complicated as tracking hours worked on a project for dozens of employees over the course of two years.

Do you use any technology to help with this math?  I NEVER do math in my head: I always use an old-fashioned adding machine with a paper tape for quick calculations, and I loooove spreadsheet programs for creating budgets and tracking expenses.  The first one I ever used was Lotus 1-2-3 but now I use Excel.  I have been working in this job long enough that I used to use huge binders full of ledger paper to track expenses with pen on paper – hence the need to run a paper tape on everything: they didn’t add up automatically, unlike computerized spreadsheets!

How do you think math helps you do your job better?  Funders don’t want to give money unless they feel secure that it is enough to get the job done, and that the recipient will manage the money carefully.  And since we are audited every year by an outside auditing firm, it is a lot easier to make sure everything is done right the first time, rather than having to go back and make a lot of end-of-year journal entries in the organization’s books.

How comfortable with math do you feel?  I am very comfortable with the math I use in my work: basic functions plus percentages (which a surprising number of people do wrong, I find as I review draft grant budgets).  That being said, I am utterly incapable of helping my 10th grader with his Algebra II/Pre-Calc, Trig, Probability & Statistics, or Physics homework.

What kind of math did you take in high school?  I didn’t take any math after 9th grade “pre-Geometry.”  I was very intimidated by math, and I took enough science courses (Chemistry, Physics, Geology) to fulfill my high school’s joint math/science requirement. Because I got a high enough grade on the ACT test math portion, I was able to exempt out of Freshman Mathematics in college. I didn’t need any additional math as a requirement for my major. I escaped math in high school and college, but it caught up with me in the work world, and it turns out that it isn’t so bad after all! I wish I had Math for Grownups when I was in high school and college – I might not have been so intimidated!

Did you have to learn new skills in order to do the math you use in your job? I was totally set with the basic addition-mulitplication-subtraction-division-percentages skills, but I did need to learn how to use spreadsheet and double-entry accounting, and how to use the specific spreadsheet software programs.

Do you have questions about grant writing and administration? If so, ask in the comments section, and I’ll let Cecilia know!

I’ve known Mary Helen Dellinger my whole life. That’s because she’s my cousin, born a whole two months before I was (a fact she never let me forget when we were kids). Growing up in Virginia as we both did, it was darned near impossible to avoid a history lesson at every turn. And while I never really caught the bug, Mary Helen got it bad.

She’s been a history museum curator for 22 years now, the last year in a new position as curator for the City of Manassas Museum System, where she has overseen exhibits that include photographs of the Civil War and a collection that features a rare, surviving “John Brown Pike,” or spear, with which abolitionist Brown had intended to arm sympathizers in an aborted raid at Harper’s Ferry.

Yeah, this is cool stuff. And much to Mary Helen’s chagrin, her job includes quite a bit of math. She’s not shy about expressing her disdain for the Queen of Sciences, but like most grownups, she has learned to get along just fine.

Can you explain what you do for a living? 

There are two major aspects to my with the Manassas Museum System. First, I am in charge of maintaining the Museum’s collection of objects. This includes meeting with prospective donors and accepting new donations for the collection, making sure the collection is properly stored and that a proper environment is maintained at all times (stable temperature and humidity at acceptable levels), and that adequate security is always in place. There is a lot of paperwork that goes along with this – Deed of Gift forms for donors, thank you letters, conservation reports, tax forms for those objects that are really valuable. Everything has to be photographed and entered into the Museum’s collection database. The entire collection numbers over 10,000 pieces – most of it in off site storage. Much of the work I described above is backlogged from the past eight years, so there is always something to keep me busy.

The second aspect of my job is running the Museum’s exhibition program. Exhibit schedules are usually created 2-3 years out. So right now, I am scheduling shows for 2015. For exhibits that we do “in-house” I select objects from our collection and negotiate loans from private collectors and other museums. I also have to write labels, work with exhibit designers and (if necessary) conservators, and do things like select paint colors, make object mounts, etc. – basically come up with the look and feel of the gallery space. The final step in all of this is the installation process – which is the most fun of all.  It’s a very creative process and neat to see it all come together in the end. On occasion, I will rent a traveling exhibition that was put together by another museum. When I do that, it is just a matter of unpacking it and installing it.

When do you use basic math in your job? (And what kind of math is it?) If you can offer a very specific situation when math is important, that would be great.

Math is very important when creating any exhibition. First, I have to keep in mind what the square footage is in the gallery, and how much space the objects in the exhibits will take up. This includes spaces on the floor, inside cases, and on the walls. Large objects take up lots of floor space but also cover the wall space behind them. Cases have to hold the objects AND the labels. Framed pieces go on the walls. My design must include measurements of all the major components that include height, width and depth. This allows me to make sure everything will fit and yet allow space for visitors to move through the exhibit. During the design process we are constantly measuring, re-measuring and moving things around to get the most out of the space. For complicated exhibits we use floor plans and sketch in everything including measurements to help us understand the relationships between the pieces and if we are leaving enough space. You don’t want to get to installation and realize you don’t have enough room for a key piece of the exhibit. There is some geometry involved here (understanding angles and lines) but most of it is basic addition, subtraction, etc.

Secondly, each exhibit has an individual budget that I am responsible for creating at the outset of the project. I have to include designer time, materials, the cost of creating graphics, prepping the gallery space, etc. Each budget has a contingency built in for those unexpected things that inevitably crop up. I have to carefully track expenses to make sure I don’t overrun my budget.

In addition to the exhibitions, I am in charge of the annual budget for my part of the department. In fact, we are in the middle of creating the budget for FY 2014 right now. Using last years’ budget as a base, I have to project (using the aforementioned two-year exhibition schedule) how much money I am going to need in the next fiscal year. This requires me to know how much contractors charge per hour and how many hours I am going to need them, the cost of supplies, shipping schedules, etc. The math used here is addition/subtraction/multiplication/division – but it can be complicated because you are working with a lot of assumptions.

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

I use calculators when doing the budget. For exhibit design, we use basic rulers and calculators. Nothing fancy.

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

Math enables me to design exhibits that are affordable, and work within the spaces that we have.

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 have NEVER been comfortable with math, not even today, 22 years into my career. Budgets, especially, make me nervous because if we don’t get it right, that will impact future expenditures and our ability to do other projects. So while the math I use in my job is familiar to me, because it is something I do every day, I don’t think I will ever be comfortable with it.

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 took Algebra I and II (barely passing both) and Geometry (did okay in this). I absolutely hated math, and only took it because I had to. Despite my best efforts, going to all the extra tutorials, studying every night, etc. I never could get it. The abstract concepts were not something I could ever wrap my mind around. Put me in a history class with definable dates, facts, and people to learn about and I was fine. I never had to “show my work” in history.

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 math skills I learned in elementary/high school are enough for me to do my job. I have not had to learn anything new.

Meet Wendy Lawrence, a real, live astronaut who has logged more than 1,225 hours in space. Cool, huh? From 1995 until 2005, Lawrence took four trips into space, including the last Shuttle-Mir docking mission on Discovery. She also took rides in Endeavor and Atlantis. 

And, duh, she used lots and lots of math as an astronaut. She breaks it down below.

Wendy Lawrence

Can you explain what you do for a living?

As a NASA astronaut, first and foremost, your job is to support NASA’s human spaceflight program. For example, one of my jobs in the Astronaut Office was to oversee the training of astronauts who would spend five to six months on the International Space Station (ISS). In this job, I had to work closely with representatives of the other participating space agencies to determine the specific content and length of the training flow.

Certainly, the highlight of being an astronaut was having the opportunity to be assigned to a mission! I was very fortunate to have the opportunity to fly on the space shuttle four times. On my first flight, STS-67, we performed astronomical observations with the three telescopes that we had in the payload bay. My next two flights, STS-86 and 91, went to the Russian space station Mir. My last flight, STS-114, was the first shuttle flight after the Columbia accident and we went to the ISS.

When do you use basic math in your job?

Astronauts use math regularly. We often fly in the T-38 jet for crew coordination training and to travel to other locations for mission training and support. Before every landing, the crew (front seat pilot and back-seater) needs to calculate the landing speed. This requires basic addition, subtraction and division. We subtract 1000 from the current amount of fuel and then divide that number by 100. We then add the result to the basic landing speed (155 kts or knots). Here’s an example:

2000-1000 = 1000

1000 ÷ 100 = 10

Landing speed is 155 + 10 = 165 kts

We also have to use math when we fly the space station robotic arm. This arm was built by the Canadian space agency. They used centimeters to measure distances and centimeters are displayed on the control panel. When NASA astronauts ride on the arm during a spacewalk, they typically measure distances in inches and feet. For example, the space-walker may say that he or she needs to move 12 inches to the right. Knowing that there are 2.5 centimeters per inch, the robotic arm operators can make the conversion to 30 centimeters (typically done in our heads) and then fly the arm to that new location (based on the numbers displayed on the control panel).

Do you use any technology to help with this math?

Typically, we when fly in the T-38 jet or fly the station robotic arm, we don’t use calculators or computers to help us with this math. When your hands are on the controls of the jet or the robotic arm, it is hard to use a calculator!

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

When we fly the T-38, it is a matter of safety. We could quickly get ourselves into trouble if we don’t land the jet at the proper speed.

How comfortable with math do you feel?

I studied engineering in college, so I do feel very comfortable with math.

What kind of math did you take in high school?

I took geometry, algebra II, trig and pre-calculus in high school. I did enjoy math, but I did feel like I needed to work hard to be good at it.

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

Basically, for the situations that I have already described, I could use the math skills that I learned in school.

No surprise that Wendy uses lots of math, right? But I was a little surprised that she used so much mental math. And I didn’t expect her to say that she had to work hard at math in high school. What surprised you? Share in the comments section.

When I was really young, I wanted to be a nurse. Those who know me now are probably laughing. It’s not that I’m squeamish about blood, but I absolutely cannot handle any other, um, bodily fluids. Ick. Thank goodness for people like Beth Hanes, who have made a career of caring for others who are sick or undergoing surgery. [Editors note: Since this interview appeared a year ago, Beth has decided to freelance write full time.Now that I can identify with!]

Beth Hanes is a registered nurse in a plastic surgery center.  She takes care of patients before, during and after their surgeries.  And, of course, she uses math everyday.

What kind of math do you use in your job?

I use basic math for a lot of things, but probably the most important calculations are the ones related to medication use. Sometimes I dilute medication before giving it. For example, Promethazine needs to be diluted before it’s given in an IV. Using a 10mL syringe, I draw up 1mL of Promethazine and then add 9mL of normal saline (0.9% sodium chloride) to create a 10% Promethazine solution.

I also use basic math to determine, based on body weight, how much medication to administer. Medications are generally given on a milligram per kilogram basis. So, I convert a person’s weight in pounds to weight in kilograms (divide pounds by 2.2 to obtain kilograms), then I multiply this number of kilograms by the number of milligrams per kilogram to get the correct dosage. For example, Lidocaine might be ordered as 1mg/kg. A 220-pound patient weighs 100kg, so the correct dosage is be 100mg of Lidocaine.

How do you do your calculations?

I do use calculators because they’re typically faster, but I think it’s important to know how to do math by hand. I usually don’t have a calculator on hand in the operating room! Also, it’s critically important for me to have basic formulas memorized (such as how to convert pounds to kilograms). Without that knowledge, having a calculator or not is irrelevant.

Why is math important for your job?

Math skills help me ensure patient safety. There was a highly publicized case a few years ago in which actorDennis Quaid’s infant twins were administered a very high dose of Heparin. This error occurred for many reasons, but one key factor was doing the math involved. This is a classic case of calculating dosage based on weight, and obviously errors were made in that calculation. In nursing, if you misplace a decimal point, you can kill someone.

When it comes to math in nursing, I think the main thing is to be very careful about calculations, double-check them, and then have someone else double-check them. No matter how good you may be at math, anyone can misplace a decimal point when calculating on-the-fly. It’s much better to take the extra seconds to have someone review your calculations and keep patients safe than to have any sense of ego about your math ability and endanger a patient.

What kind of math did you take in high school?

I had a rather sketchy math education, because my parents moved around a lot, and I only made it through Algebra II. On the other hand, advanced math was not yet common at the high school level when I was that age. Calculus, for example, was a college course. I did not feel I was good at math in high school. However, this “low math esteem” led me to focus on practicing real-world math skills.

These days, I am fairly comfortable with math, in general, though I frequently have to think through conversion problems, which are common in nursing. I find I often want to divide when I should multiply, for instance, so I have to be careful about that! Once I have a formula memorized, however, I feel very comfortable substituting variables with real values and arriving at the correct answer.

If you have questions for Beth, ask them in the comments section. Read other Math at Work Monday entries in the archive.  And if you or someone you know wants to be interviewed for this regular, Monday feature, let me know.

When I started doing Math at Work Monday interviews, I thought of it as a little experiment. Would people I talk to actually recognize the math they do? Would they feel confident in their math skills? Would the the math they need to succeed in their careers get in the way? I had a theory: Most people don’t realize that they’re doing much of the math they need for an average day.

Now that I’ve got about a year of Math at Work Monday interviews under my belt, it’s a great time to take a closer look. Did my hypothesis stand up? Reading through these interviews again, I’ve noticed five interesting themes.

1. Everyone does math in their jobs. Okay, that’s a duh conclusion, right? But when you consider the number of school kids who ask, “When will I ever use this stuff?” it’s not necessarily a foregone conclusion. In other words, if kids think that by avoiding science, they’ll avoid math in their careers, they should think again.

Kiki Weingarten, a NYC-based executive, corporate and career coach uses math to help her clients understand the financial implications of a career change. Criminal profiler Mary Ellen O’Toole looked for patterns and used statistical analysis to help solve crimes.

2. Many folks don’t know that they’re doing so much math — until someone asks them about it. This has come up over and over again. I’ll ask someone to do a Math at Work Monday interview with me, and they’ll say, “Why would you want to talk to me? I don’t use math in my job.” But once they think about it — even a little — many of them are surprised by the sheer number of numbers in their jobs. From managing their business to practicing their passion, math is everywhere.

Painter Samantha Hand said that she didn’t realize how much math she uses, until we talked about it — then she started making big connections, including using proportions to help paint to scale. When I asked my sister, Melissa Zacharias to participate, she first said that she didn’t really use math. She soon discovered plenty of places that math is useful in her job as a speech therapist who works with adults.

3. Math is particularly prevalent in the visual arts. So much for the myth that people are either artistic or mathematically minded! In fact, math is required in a variety of different aspects of art, from working with materials to managing sales to envisioning the final design. That’s one of the reasons that I devoted an entire month to math in the arts. (And we didn’t even scratch the surface!)

From noted jewelry artist Shana Kroiz to glass artists Ursula Marcum and Beth Perkins, it became clear that the connection between math and art is undeniable. Even museum curator Ann Shafer uses math.

4. Using math tools is fine, but many people depend on their brains. I expected people to tell me that they depended heavily on computers or calculators to do the math they needed. But most folks admitted that they do a heck of a lot of mental math — from basic addition to finding percents.

Kim Hooper uses a calculator to check some figures, but as a copywriter, she also does “margin math,” a grownup version of showing her work. Executive vice president, Gina Foringer uses mental math to quote labor percents for new contracting jobs.

5. People generally like the math they do at work. Of course they don’t always think of the math they do as math (see #2), but the folks I interview feel confident in the skills they need to perform their jobs well. This includes those who say they didn’t do well in school math classes or that they feel like they’ve never really “gotten it.”

Costume designer, Katie Curry says that she doesn’t feel comfortable with math outside of the calculations she needs to draft a creative design (though she can balance her checkbook, of course). When hair stylist Nikki Verdecchia opened her salon a few years ago, she worried that the math would get in her way, but she quickly became comfortable with the calculations she needs to make her business work.

So there you have it — the unscientific results of my unscientific experiment. As I suspected, people don’t mind doing the math in their jobs, and that’s because they don’t even realize that they’re doing math. We’ll see if that trend continues in the upcoming year of Math at Work Monday interviews.

What about you? Do you like the math that you do at work? Are you now realizing that there’s more math than you originally thought? Share your ideas in the comments section.

We’re rounding out our month of nesting today and Wednesday. What’s cozier than a cup of hot coffee?  If you’ve ever wondered where your morning cup of Joe comes from, meet John Curry, owner of Buona Caffe, an artisan coffee roaster.  

Can you explain what you do for a living?

I roast and sell specialty coffee.

When do you use basic math in your job?

I use math to figure out how much coffee I need to roast for our orders. When coffee is roasted, it loses about 18% of its weight. I have to take that into account in my calculations. On my blends, I have to calculate proportions of coffees, whether it’s for a 12-ounce retail bag or a 5-pound bag for a restaurant. We also use math for brewing coffee – different brewing methods require different amounts of grounds and ratios to water.

We have to consider shipping weights when we order green coffee beans. And I use basic math for running the business – tracking sales and outstanding invoices, forecasting sales, that kind of thing.

I use math is just about every aspect of roasting and selling coffee. Math is a very important part of running your own business. Money is all numbers!

Do you use any technology to help with this math?

Yes. I use a calculator to do proportions for blends. Accuracy is very important.

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

Without it, I couldn’t be sure of any of my measurements. Since we sell a food product, it’s very important that our product weighs what the label says it weighs and that our proportions are accurate. If we don’t do the right math every time, our coffee won’t taste as good as it should!

Upperline

How comfortable with math do you feel?

I feel relatively comfortable with math all the time. I use it with hobbies as well, such  as woodworking. I also use math with spreadsheets.

What kind of math did you take in high school?

That was a long time ago! I know I took geometry. I didn’t take any higher level math. I did not like math, and I was not good at it. I was better at geometry than other kinds of math. I feel more comfortable with math now than I did then.

Did you have to learn new skills to do this math?

I didn’t have to learn new skills to do this math. I do a lot of percentages and ratios.

So what are your big questions about roasting coffee?  Ask John!

Because of the 4th of July holiday here in the states — and because this is so darned cool! — I’m veering a little from the normal Math at Work Monday topic.  We’re going to get a little geeky today with Andy Testa, a simulations and analysis engineer for NASA.

Andy Testa, simulation and analysis engineer

Okay, I don’t even know what a simulations and analysis engineer is, but yeah, Andy uses lots of math in his job–but not the way you think.  He operates a robotic arm for the Space Shuttle, which will enjoy its last launch later this month.

So get your geek on, and enjoy a little independence from any math fear or anxiety you may have.  Andy has a cool job that’s worth reading about!

Can you explain what you do for a living?

I work at NASA’s Johnson Space Center as a support engineer for the Space Shuttle’s robot arm, known as the Remote Manipulator System or Canadarm. I’m responsible for running computer simulations of the arm performing new tasks or moving new payloads and am also an expert on the arm’s control software running on the Shuttle’s computers. [pullquote]It isn’t efficient to do advanced math all the time. The hard stuff is built in to the simulators and special software that we develop one time. The day-to-day work is much more basic.[/pullquote] The simulations are usually to make sure that planned operations won’t stress the arm beyond what it’s designed to handle, which is surprisingly easy to do. I do troubleshooting when something doesn’t work right during a mission, whether that’s a software glitch, a mechanical failure, or an unplanned procedure that has to be simulated. Much of the time I’m working on backup plans for how to complete a mission if any number of potential failures happen.

When do you use basic math in your job?

When I describe my job to most people they respond with “I could never do that!” They imagine that I do a lot of advanced math, but the reality is that it isn’t efficient to do advanced math all the time. The hard stuff is built in to the simulators and special software that we develop one time. The day-to-day work is much more basic.

So, I use basic math every day. When working with robots like the Shuttle arm you’re constantly having to think about two things: the position of the tip of the arm in space, and the angles of all of the joints.  These are related by geometry and trigonometry. I spend a lot of time working out geometry problems relating to the payloads that the arm moves. Each payload, like satellites or a piece of the Space Station, has to have a lot of numbers generated to allow the robot’s computer software to move them correctly. I need to calculate where the arm attaches itself, where the mass is centered, where the docking ports are located, and the direction the arm should move in when the astronauts move the controllers. Trigonometry is also used quite heavily, since I spend a lot of time worrying about angles and rotations, whether for each individual joint on the arm, or coordinated rotations of the payload as a whole.

Do you use any technology to help with this math?

That’s the robotic arm. (Photo courtesy of NASA)

Yes, we use computers constantly to help with the math, especially when we have to calculate trigonometry problems. Many of the problems I work on are similar enough that I can make a template for them in a spreadsheet, and use that over again with new payloads. For example, I frequently have to calculate a specific set of rotations to define how the arm attaches to payloads. By doing the calculations once and storing them in a spreadsheet, I can use it again just by inputting the unique geometry of each new payload. It saves a huge amount of time and effort, and lets me send all of the calculations to other people by sharing the files.

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

Not just better; without math my job would not be possible. Everything about spaceflight, including the Shuttle robot arm, is completely dictated by math. Knowing math not only allows me to continue to solve the problems we know about right now, but it also gives me the tools I need to figure out how to solve new problems.

How comfortable with math do you feel?

I feel quite comfortable with the level of math I use on a daily basis. I will frequently use similar math at home for hobbies or entertainment, for example, finding out exactly how much bigger a new widescreen TV is than my old tube TV.

What kind of math did you take in high school?

I took mostly standard college prep math classes in geometry and algebra. I didn’t take calculus until college. I was relatively good at math in high school, but I didn’t really understand it well until after a few years of practice in college.

Did you have to learn new skills in order to do this math?

Much of the math I use daily could be easily taught to someone with good high school math skills. Using the geometry and trigonometry to build descriptions of payload and robot motion is a skill that was developed more in college physics classes, though. That doesn’t mean it’s harder, just that it’s a specialized way of using the basic math that is being taught in high school. But the meat of what I do, hand calculating angles, areas, and sines and cosines, are straight out of basic high school math.

Thanks so much for playing, Andy!  Readers, if you have questions, please feel free to post them in the comments section.

If you’ve ever visited the website of a prescription medication or picked up a brochure from your doctor’s office, you’ve seen the kind of work that Kim Hooper does.  And she’s proof that math and writing are not mutually exclusive endeavors.

As a senior copywriter for an advertising agency, Kim writes brochures, websites and other copy that helps promote a brand or a product.  Since her agency’s primary client is a pharmaceutical company, much of her writing is science-based.

When do you use basic math in your job?

Much of my job involves scanning through research papers about specific drugs and interpreting clinical data in a “sexy,” Madison Avenue way. This tends to involve a bit of math. For example, let’s say we want to point out that our drug is really successful with women over 40 years old. I will look through the demographic tables in the clinical study to create a compelling factoid. Let’s also say that out of 100 women, 60 are over 40 years old. So, when writing a piece, I may have a big headline that says something like, “60% of women in the clinical study were over 40 years old.”

Most of the math I do involves basic addition or subtraction and percentage calculations. Very often, I’ll do percentage calculations for side-effects data. So if 3 patients out of 150 in the clinical study experienced side effects, I’ll take this fact and make sure to call out that 98% of patients did not experience side effects.

Do you use any technology (like calculators or computers) to help with this math?

I do use the calculator built into my PC to double check my work. But I almost always have to do “margin math,” meaning I show my calculations on paper so the client’s regulatory committee can review them.

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

Math keeps my left brain strong. In advertising, the right brain is very important. This is a creative business. We’re trying to find interesting, compelling ways to communicate product messages that may not be that thrilling at first glance. My left brain can help make the messages thrilling. Numbers are very appealing to consumers. If they can see information broken down into easy-to-understand percentages, for example, they may be more likely to try our medication over another one.

How comfortable are you with math?

I’ve always been a bit of a math nerd, and I went all the way through Advanced Placement Calculus in high school. In fact, it was really difficult for me to choose a major in college because I loved math and science and I also loved the arts. For a short time, I double-majored in genetics and psychology. I ended up majoring in communications, which seemed broad enough for me to explore a number of career options. I just happened to fall into a career that makes use of both sides of my brain, which I love. I really enjoy sifting through data and doing the math necessary to make facts come to life.

I think we all get a little rusty if we don’t use math regularly, but it’s been part of my job for a number of years now. There’s no way I could do calculus again, but I have no problem doing basic math. I enjoy it.

Kim Hooper is an advertising copywriter by day, novelist by night. Get to know her work at KimHooperWrites.com.

Do you have questions for Kim?  If so, ask them in the comments section!

Elizabeth Hanes, RN

Beth Hanes is a registered nurse in a plastic surgery center.  She takes care of patients before, during and after their surgeries.  Here’s how she uses math everyday.

What kind of math do you use in your job?

I use basic math for a lot of things, but probably the most important calculations are the ones related to medication use. Sometimes I dilute medication before giving it. For example, Promethazine needs to be diluted before it’s given in an IV. Using a 10mL syringe, I draw up 1mL of Promethazine and then add 9mL of normal saline (0.9% sodium chloride) to create a 10% Promethazine solution.

I also use basic math to determine, based on body weight, how much medication to administer. Medications are generally given on a milligram per kilogram basis. So, I convert a person’s weight in pounds to weight in kilograms (divide pounds by 2.2 to obtain kilograms), then I multiply this number of kilograms by the number of milligrams per kilogram to get the correct dosage. For example, Lidocaine might be ordered as 1mg/kg. A 220-pound patient weighs 100kg, so the correct dosage is be 100mg of Lidocaine.

How do you do your calculations?

I do use calculators because they’re typically faster, but I think it’s important to know how to do math by hand. I usually don’t have a calculator on hand in the operating room! Also, it’s critically important for me to have basic formulas memorized (such as how to convert pounds to kilograms). Without that knowledge, having a calculator or not is irrelevant.

Why is math important for your job?

Math skills help me ensure patient safety. There was a highly publicized case a few years ago in which actor Dennis Quaid’s infant twins were administered a very high dose of Heparin. This error occurred for many reasons, but one key factor was doing the math involved. This is a classic case of calculating dosage based on weight, and obviously errors were made in that calculation. In nursing, if you misplace a decimal point, you can kill someone.

When it comes to math in nursing, I think the main thing is to be very careful about calculations, double-check them, and then have someone else double-check them. No matter how good you may be at math, anyone can misplace a decimal point when calculating on-the-fly. It’s much better to take the extra seconds to have someone review your calculations and keep patients safe than to have any sense of ego about your math ability and endanger a patient.

What kind of math did you take in high school?

I had a rather sketchy math education, because my parents moved around a lot, and I only made it through Algebra II. On the other hand, advanced math was not yet common at the high school level when I was that age. Calculus, for example, was a college course. I did not feel I was good at math in high school. However, this “low math esteem” led me to focus on practicing real-world math skills.

These days, I am fairly comfortable with math, in general, though I frequently have to think through conversion problems, which are common in nursing. I find I often want to divide when I should multiply, for instance, so I have to be careful about that! Once I have a formula memorized, however, I feel very comfortable substituting variables with real values and arriving at the correct answer.

If you have questions for Beth, ask them in the comments section.  Oh, and today, June 20, is her birthday!  So take minute to wish her a happy day!

Read other Math at Work Monday entries in the archive.  And if you or someone you know wants to be interviewed for this regular, Monday feature, let me know.