Search Results for “algebra 1” – Math for Grownups https://mathforgrownups.com Books to improve your math Mon, 16 Nov 2020 10:55:26 +0000 en-US hourly 1 https://wordpress.org/?v=5.4.4 What, Where and How to do Mathematics https://mathforgrownups.com/what-where-and-how-to-do-mathematics/ Mon, 16 Nov 2020 10:55:23 +0000 https://mathforgrownups.com/?p=1775 What, Where and How to do Mathematics What and Where is Mathematics….? Everyone is aware with the word math. But no one try to define what math is. If you are thinking that what the rubbish question is it, everyone knows what math is, then you are wrong. If we ask someone what math is? [...]

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What, Where and How to do Mathematics

What and Where is Mathematics….?

Everyone is aware with the word math. But no one try to define what math is. If you are thinking that what the rubbish question is it, everyone knows what math is, then you are wrong.

If we ask someone what math is? He probably said addition, subtraction, multiplication of numbers etc. or someone said solving algebra is mathematics. A few people can tell us exactly what mathematics is. It is not their fault. There is a fault of our systems, who do not develop the books properly. Some of teachers try to clear concept of mathematics but some of them not.

That is why many of us dislike the subject mathematics and suppose it to be hard or tough subject, but it is not. Mathematics is very easy subject if we found a teacher who try developing our concept. I taught by a teacher who never try to answer my question whether he always give me these questions as assignment from home. So, I never try to make question in front of him. But every time it is not the fault of our teachers, we are also wrong many times, we never give the proper time to mathematics, even not try to find something new. So today we try to understand definition of mathematics.

Every word has proper definition like Physics (Study of energy and motion), chemistry (study of molecules and chemicals), and biology (study of human and living things). But mathematics has not proper definition. Many philosophers try to introduce definition of mathematics. Some of said math is abstract science of numbers, some of said math is mother of sciences.

The math is too huge and cannot summarize in few words. Many philosophers claim that mathematics is a language of science which help each science branch to speak. Without mathematics every science field is mute. Like medical tell us about blood pressure but it cannot measure without the help of mathematics. Physics tells us about speed, but it cannot be measured without the help of mathematics.

Mean in every field you must use mathematics, even you cannot but a bus ticket without using mathematics. You cannot cock delicious food without using mathematics, you always put salt according to taste and quantity of food.

That is why philosophers said mathematics is a language, without it we cannot make conversation like other English French etc.

Imagine you are on the grocery shop and you are asked to buy 1 kg rice. How you tell the shopkeeper that you want to buy 1 kg rice? You look like a deaf. You have not any other way to tell him without using mathematics.

You can never think to live without mathematics. Mathematics is a necessary tool of life.

Once I was reading the history of mathematics, that how numbers were introduced? I read the story of Egyptians who invent the numbers first time 5000 BC. A herdsman compared sheep of his herd with a pile of stones when the herd left for grazing and again on its return for missing animals. In the earliest system probably the vertical strokes or bars such as I, II, III, IIII etc. were used for numbers 1, 2, 3, ….

After reading this story I come to know the exact meaning of “Necessity is the mother of invention”. But the mathematics is the mother of sciences said by mathematicians. But now a day mathematics is growing up as a language.

If we talk about painting, even mathematics is here. Exact amount of two colors makes a new color.

How to do Mathematics….?

We always listen from our math teacher if you want to perfection in mathematics then do practice, practice, and practice. Are you ever think that how to do practice? Many of us think practice mean do one question again and again. No…. Its not mean this. Its mean does practice of your concept.

How to practice of your question? When ever you learn a new question then first make question on it with teacher. Ask the teacher,

what is the purpose of this?

Why we are doing it?

At each step ask why we do as and why not?

We have a typically question with the math teacher to repeat the question. This is not a way to improve your math skills.

After getting the answers to your question,

open your note book any start solving this question

According to your thought and complete it in any cost

Even you are doing wrong

When you finish it then match your solution with the correct solution

Match the step where you did wrong

After pointing out each mistake in your solution go to math teacher

Asked him why we cannot do as I do

He will explain your mistake

Now start again a new question

Now at each wrong step your mind jerks you that it Is not write because you have taught by your math teacher that it is wrong.

When we made mistake by own hand and then get explanation of mistake, and then whenever try to make same mistake again, our mind never with us. Which is the sign of our mistake.

That is called practice. When each time you do new question by yourself by understanding each step, that why I am doing it or why not. Never hesitate to ask question by your teacher, if you are feeling hesitation you are not going to learn new things. Develop your habit to ask questions and always try that your question start with why, which, how etc. never say repeat it.

The last thing always sees the solution after the completion of your question. If you see solution at each point where you stuck, you are not going to learn new thing. When you make mistake, it will be resolved and you learn it, when you start copy paste you never get confidence to learn.

We always learn by our mistake.

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Math at Work Monday: Julie the Digital Marketing and Communications Professional https://mathforgrownups.com/math-at-work-monday-julie-the-digital-marketing-and-communications-professional/ Tue, 12 Mar 2019 11:15:23 +0000 https://mathforgrownups.com/?p=1582 Today’s interview showcases my talk with Julie Pippert of Artful Media Group who has been in the business of marketing and communications for over 20 years. For the past 4 years she has been doing it digitally which is really exciting. I loved my interview with her not only because I find her job fascinating [...]

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Today’s interview showcases my talk with Julie Pippert of Artful Media Group who has been in the business of marketing and communications for over 20 years. For the past 4 years she has been doing it digitally which is really exciting. I loved my interview with her not only because I find her job fascinating but also because she is passionate about math, and that wasn’t always the case for her. It gives me hope that everyone can learn to do math well.

Can you explain what you do for a living?

I help create strategies and tactics–and sometimes execute these–for clients to promote their product or information to people via the many channels of the Internet. Within this we manage relationships with our community (who may also be customers or potential customers). I don’t use the word “customer” very often because most of my work is nonprofit so it is advocacy, thus we work with members, volunteers and the community. The wonderful thing about modern marketing and PR is that we are able to be very specific in who we reach and how we reach them. For example, for $5 I can reach nearly 30,000 people who I know for a fact are interested in this specific topic. That’s much more cost effective than getting a list of 1 million for tens of thousands of dollars and hoping a few in there might want or need what we’re offering. I have also built influencer programs (people who have highly engaged large communities who are interested in what we do), done trainings, spoken at large conferences, and created tons of online content of all sorts.

When do you use basic math in your job?

Everybody has heard about big data. Well, I rely extensively on that to do my job, do it well, and review if I did my job well. I use formulas in spreadsheets to evaluate rankings and ratings of campaigns and influencers. I measure results through different analytics tools and review results across time to see patterns and trends. I do a lot with means, medians and modes as well as percent and statistics. I have to use basic math to add and subtract as well as multiply and divide numbers to find true meaning. I then take the analysis of the data and report it back to my clients. This is how we measure effect and success.

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

Of course! Oh my gosh I’d be lost without spreadsheet formulas (many of which other people developed and set out for free use), analytics tools, and calculators. I also dredge up old algebra to figure out how to calculate some final needed numbers.

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

I would have no idea if I was reaching my goal and achieving the results I needed without math! Math is how I evaluate how well my words, and where and how I used them, work!

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

I hate hate hated math in school. I moved frequently and suffered large gaps in my learning which always set me behind. It’s much easier to make that up in other subjects, but continuity is crucial for learning math well. Math and numbers are not my strength, anyway. By the time I hit the job market, I had decided now that I was done with school, I was also done with math! No such luck! It turns out that was a good thing. I’ve learned to appreciate and even like applied math. On a scale of 1-10 (most comfortable), I’d say I hover at a 6-7 on comfort level. I’ve never completely rebuilt my confidence, and I still get some formulas backwards. I have figured out that I can calculate in my head. In fact, modern math curriculum would have done me a world of good. Applied math in my job feels very comfortable, though, and I think math is great now. I am so pleased to see numbers and find ways to add them up to something meaningful. You can’t measure without math!

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

I quit math class the second I reached my final credit. In high school I went up through the second year of algebra which I took in summer school so I could get it over with quickly. In college I took a liberal arts math. I felt like an utter disaster at everything except geometry. I did do well with that but feel it hasn’t come up too often in life. I also had a fantastic teacher who noticed I needed a little extra help and was willing to help me. It was the first time ever with math that I had this sense of wonder and awe of “oh wow I GET it, I totally really GET IT,” and it was great.

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 use the basics of what I learned in school with the math I do in my job, but a lot of it is new. I seriously wish I’d studied statistics  and might do that now.

Anything else you want to mention?

Yes, and I think this is SUPER important. You know how we all accept the fact that kids come into reading at different ages? Where is that understanding for math? Some kids are ready for multiplication in 2nd grade and others not until 4th or even 5th. Math is so prescribed. I think that’s why so many kids hate it and feel such an utter hopeless failure at it. You must achieve this level of math by this age whether your brain is ready or not — and it is so quick and easy to label kids as dumb at math when they don’t fall into that model. We have got to offer more paths of progression for math, just like we do for reading.

What we have finally gotten right is allowing different paths for solving math problems in education. Unfortunately, teachers have got that mixed up, and kids are so confused because they’re expected to master EVERY method of problem solving and demonstrate that mastery on exams, sometimes using the multiple methods for the same problems. Why have different methods for different sorts of kids and brains and then expect all of them to do well?

Have comments or questions for Julie? Let me know!

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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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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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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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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 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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Decoding Geeky T-Shirts, Episode 1 https://mathforgrownups.com/decoding-geeky-t-shirts-episode-1/ Wed, 17 Dec 2014 10:06:09 +0000 https://mathforgrownups.com/?p=1519 We’ve all seen them. Mathy t-shirts, mugs and social media graphics that offer a fun phrase for those who can decode the message. But have these ever made you feel a little, well, not so mathy? Me too.So let’s unlock the mysteries of these inside jokes. I’ve gathered a few of the most common t-shirts featuring math [...]

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We’ve all seen them. Mathy t-shirts, mugs and social media graphics that offer a fun phrase for those who can decode the message. But have these ever made you feel a little, well, not so mathy? Me too.So let’s unlock the mysteries of these inside jokes.

I’ve gathered a few of the most common t-shirts featuring math symbols. One by one, I’ll interpret them for you. Of course if you have any ideas to share, feel free. And if you disagree with my analysis, by all means, let me know!

Here’s to feeling much smarter.

Math is fun!

We’ll start with a doozy and break it down bit by bit.

M = M     One of the shortcuts that these t-shirts take is simply inserting letters as variables. Or you could make an argument that the M in this example stands for mass.

This one took me a few moments to figure out. It’s based on the Pythagorean Theorem — solving for a. Here’s a quick rundown:

This is the Ideal Gas Law, which I know nothing about. But there’s some algebra to get from the law itself to this representation.

H = H  Seems to me that this is simply the variable H, which could stand for just about anything. (If you have another suggestion, let me know in the comments section.)

I love this one! You may remember that you cannot take the square root of a negative number. And then you may remember that there is a very special number for the square root of -1. That number is the imaginary number — or i. It’s crazy to think that we can have imaginary numbers, but there you have it. It was important enough to create a whole new system of numbers so that we could deal with the square root of -1. (And yet, we still can’t divide by zero!)

If you were a Greek during college or remember a little bit of your Algebra II class, you’ll remember that this symbol is the Greek letter sigma. It’s used to denote summations — not the legal kind; the math kind. When you want to find the sum of a set of numbers, you can indicate it by using the letter sigma.

The last clue is a little bit of a fudge, I think. First the f and parentheses. In math-speak this represents a function, and you probably remember seeing it written like this: f(x). In this form, it means a function in terms of x. But — and here comes the not-so-accurate part, in my opinion — u raised to the nthpower is not something you would see in function notation. And u raised to the nth power doesn’t really translate to –un.

And that’s how you get “math is fun” from all of those symbols. Not too bad, eh? Next time, we’ll have some pie!

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Adam the Solar Energy Meteorologist https://mathforgrownups.com/adam-the-solar-energy-meteorologist/ Mon, 15 Dec 2014 10:06:10 +0000 https://mathforgrownups.com/?p=1520 This week I had the privilege of interviewing Adam Kankiewicz who has been a solar energy meteorologist for 16 years!  Some occupations use math more than others, and meteorology is one of those that relies heavily up on it.  Not only does Adam know his math skills but also seems to enjoy it.  Let’s learn more [...]

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This week I had the privilege of interviewing Adam Kankiewicz who has been a solar energy meteorologist for 16 years!  Some occupations use math more than others, and meteorology is one of those that relies heavily up on it.  Not only does Adam know his math skills but also seems to enjoy it.  Let’s learn more about what he does…

Can you explain what you do for a living?

I work with numerical weather prediction models and satellite data to estimate the energy output of PV (photovoltaic) solar systems. These estimates are used to plan projects ranging in size from home rooftop panels to large plants that cover several square miles. I also develop forecasts used by existing solar plants to predict energy production.

When do you use basic math in your job?

I use statistics when estimating long-term solar energy output. I analyze 15+ years of solar energy data to calculate an average year’s energy output based on the statistical mean. We also factor in year-to-year variability using more advanced statistical methods, such as correlation.

We use simple addition to calculate an annual sum of energy produced. The “annual sum” is a common way to report solar energy output.

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

Yes, we use sophisticated computer algorithms to make our calculations. We also use Excel sheetswhen computing annual sums. Because we make hundreds of calculations a year, it wouldn’t be practical to work by hand. Also, using computers significantly reduces the margin for human error. This doesn’t mean we just push a button and get a finished result. We physically review all data and results for consistency and to make sure they’re within expected range. We also write reports interpreting the numerical results.

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

I couldn’t imagine doing my job without math. My job is very math-intensive and wouldn’t exist without math. Meteorology, in general, relies heavily on math.

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

I feel very comfortable with all aspects of math and especially enjoy applied math (as opposed to theoretical). I look forward to the daily challenge of working with solar energy data.

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

I took algebra, statistics, geometry, and trigonometry. Yes, I liked all my math classes and felt math was my best area.

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 did not have to learn new skills to do the math I use at work. My college math classes were intense and were enough preparation for the math aspects of my job.

Anything else you want to mention?

Thank you for interviewing me!

Interested in learning more?  Adam has written a blog post for SolarToday magazine.  You can find that here. And you can also see maps of monthly PV energy generation here. I don’t know about you, but I really enjoy learning more about these not-so-traditional professions.

Photo Credit: Lauren Manning via Compfight cc

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Math at Work Monday: Mary the Non-Profit Principal https://mathforgrownups.com/math-at-work-monday-mary-the-non-profit-principal/ Mon, 03 Nov 2014 09:57:50 +0000 https://mathforgrownups.com/?p=1504 Today’s interview is with Mary Cahalane, Principal of the non-profit company Hands-On Fundraising, LLC.  Mary knows this business well as she has been working in nonprofits for 30 years, 26 of those years as a fundraiser.  She is especially proud of this newest venture which is only 4 months old.  When we talk funds, we’re talking numbers so [...]

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Today’s interview is with Mary Cahalane, Principal of the non-profit company Hands-On Fundraising, LLC.  Mary knows this business well as she has been working in nonprofits for 30 years, 26 of those years as a fundraiser.  She is especially proud of this newest venture which is only 4 months old.  When we talk funds, we’re talking numbers so it wasn’t a surprise to me that math is a part of what she does.

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

I help nonprofit organizations improve their fundraising programs. I focus particularly on annual giving, copywriting and donor communications and improving donor retention.

When do you use basic math in your job? 

Fundraising is a funny combination of art and science. I could write the best appeal in the world, but I couldn’t judge it as such until I saw the results. We need to track donations and donor behavior. There are some measurements used all the time: Total dollars, Average gift, Response rate, Retention rate, for instance. All of those things require some math. Setting up and working with donor databases is another area. Information has to be quantified and categorized in order to be useful. How much to weigh this kind of information against that kind? What’s the hierarchy?

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

Oh heavens, yes. I no longer trust my brain to do even simple calculations on the fly. That’s what Excel and calculators are for!

But if you don’t understand what it is you’re looking for, all the machines in the world won’t really help. So I need to have a theoretical grasp before resorting to the calculator to do the arithmetic for me.

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

Too often, fundraising can be grounded in instinct. That can work if you’ve got very good instincts. And for the people side of fundraising, good personal skills are critical. Can you connect with people? How are your relationship-building skills? That can be very subjective.

But to measure success, it always comes down to the numbers. Did this appeal work? If your board chair loved it, but it raised very little money, then it did not work. Conversely, if it was so corny it made you cringe, but your donors responded well – it worked. It’s not subjective. It’s all about the numbers.

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

I’m pretty comfortable with math at work. I’m in my element there. Outside work, I don’t feel quite as adept. I often grab the calculator to tally the checkbook.

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

Math was definitely NOT my subject in high school. I believe our course schedule was Algebra I, Geometry, and Algebra II/Trig and then if you were a glutton for punishment, you could take Calculus senior year.

I was not a glutton for punishment. Geometry wasn’t too bad. The logic was probably verbal enough for me. I still get hives at the thought of trigonometry, however.

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?

It’s funny. My first job out of college was so dull. I worked in the import office of a huge retail organization. This English major spent her days hovering over boring import documents and adding long lines of figures. Doing that day in and day out vastly improved my ability to add and subtract in my head. I was also a whiz at using my left hand on the calculator and my right on the phone. Unfortunately, those haven’t been highly sought after skills.

Anything else you want to mention?

Just thank you for the interview. This was fun!

It sounds like Mary sure knows the ropes when it comes to fundraising and math.  She may not have confidence in all areas of math, but she has sure honed the areas she needs to make a large impact in the non-profit world.  Have a question for Mary?  Let me know, and I’ll be glad to get in touch with her again.

Photo Credit: Tracy O via Compfight cc

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