Financial Education in the Math Classroom

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NCTM 2013, Denver: When reasoning matters: using mathematical thinking to make financial decisions

by Valerie
April 19th, 2013

The consumer education movement aims to teach people how to seek out, use and evaluate consumer information so that they can improve their ability to purchase or consume the products and services they deem most likely to enhance their well-being. It seeks to teach consumers how to interact in the marketplace in a way that allows them to make the best consumption choices for themselves, given their values and lifestyles. (p. 33)                                              Bloom  & Silver, Harvard Business Review, 1976

In 2006, the Financial Literacy and Education Commission (FLEC) published: “Taking Ownership of the Future: National Strategy for Financial Literacy,” which defined the purpose of financial literacy as to: “empower consumers to be better shoppers” (p. v), to help deal with a “market place that is constantly changing” and to “understand and select the products and services that best suit their needs” (p. vii).

Learning to Read the fine Print: We have to find ways to help students learn to care about the details – learn to ask questions, learn to think it’s worth investigating financial agreements

Show Students the Fine Print (see examples below):

  • Let them read it
  • Let them make what sense they can of it
  • Let them ask questions about it and explore outcomes

Credit Card Examples:

APR or “annual percentage rate” is an annualized interest rate. Different APRs may apply to different balances on your account, such as your purchase balance or your cash advance balance. We use the APR that applies to each balance to calculate the interest that you owe us on the account.

The bill we send you will state your due date and the minimum amount that you must pay us by that date. This amount is your minimum payment. If you do not pay the minimum payment by the due date, we may charge you a late payment fee. You will also be in breach of the contract.

You may pay all or part of your account balance at any time. However, for each bill, you must pay at least the minimum payment by the due date stated on that bill.

Sample problem from the Math Forum’s Financial Education focus:

Choosing Charity

In the wake of the recent tsunami, a company decided to donate to a disaster relief fund. The company started by pledging a certain amount of money. To encourage their 60 employees to make individual contributions, the company pledged to also donate an additional fixed amount for each employee who made a personal donation to the fund.

The company treasurer determined that if one-third of the employees chose to make a donation, the company’s part of the total donation would be $7000. If 50% of the employees donated, the company’s part of the total donation would be $7750.

Find an equation that expresses the company’s part of the total donation in terms of the number of employees who donate.

If every employee chose to donate, what would the company’s part of the total donation be?

If the company’s part was $8875, what percent of the employees chose to make personal donations?

Tools to Start Conversations & Develop the Practices of Financial Decision Making:

Living Wage Calculator

Council for Economic Education’s National Standards for Financial Literacy

CFPB’s Credit Card Contract Definitions

How long will it take to pay off my credit cards

True Cost to Own a Car

What is my employee total compensation package worth?

National Endowment for Financial Education — resources for educators, check out the High School materials

Charity Navigator

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Mathalicious Lessons: Real World Conexts that Truely Explore Math & Finance

by Valerie
July 27th, 2011

Mathalicious (follow on twitter @Mathalicious) is committed to providing engaging lessons based in real-world contexts. Mathalicious has a couple great lessons that explore mathematical ideas using a real-world financial context. What I like about these lessons are that they are a true marriage of mathematical ideas (they are all aligned to the Common Core State Standards) and genuine exploration of the financial concepts as well.

One example great example is Big Foot Conspiracy, in which students examine the pricing structure of shoes by looking at the cost of children’s vs. adult’s shoes and if it makes sense that a size 6 shoe should really cost the same as a size 11 shoe. Through this exploration students plot data, look at linear and non-linear relationship and compare unit pricing by weight. This lesson helps potential entrepreneurs think about setting prices based on the cost of materials and whether or not potential customers might respond well to various pricing schemes.

A couple others I like are: Go Big Papa in which you explore how good pizza deals really are and iCost which explores whether or not the pricing scheme of apple products is linear. Also keep an eye out for Tip Jar which will be back up shortly, but is being updated as we speak. In Tip Jar, students explore the mathematical concepts of proportional relationships using tables, graphs and equations, solve ratio and percent problems and they also explore not just how to calculate a tip, but also how tipping works in different countries in terms of the percentage of the wait-staff’s salary that is based on tips. Too often I have found that many real world based lessons stop at the tip calculation, the lessons on this site dig deeper and offer opportunities to make real connections between mathematics, financial options and financial decision making.

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3rd Graders and Financial Edcuation

by Valerie
July 13th, 2011

I have asked teachers I know who are teaching financial concepts in their classrooms to contribute their stories to this blog, this is the first of what I hope will be many to come, courtesy of Maria, a 3rd grade teacher.

My students are third graders and we had a great time using a tool from The Math Forum. It illustrated the difference between gross and net pay by showing the students how to calculate deductions for federal income tax, social security and medicare. The outcome that I was aiming for was twofold:

1. I wanted my students to understand that you don’t get to take home all of the money that you make and

2. The money that is taken out of our pay goes toward running the city and to take care of us when we are older.

It was very exciting for them because they didn’t have any prior knowledge about payroll deductions. They were actually a bit upset and angered because they didn’t want to part with any of their money. This led to another interesting conversation about how the city has bills to pay. First we talked about how their parents have to pay bills and then it segued into the city. We started talking about how tax dollars go towards repairing roads and streets and bridges and tunnels and city workers. The connection to their parents and bills really helped them to understand that the city has bills to pay. This also led to a question: How does the city make its money? From here, we talked about how collecting taxes from people is not the only way the city makes money. I asked if they had any ideas how the city could make money besides charging taxes. One student said, “The city could charge a fee for using the stores.” Then I asked them if they ever crossed a bridge or went through a tunnel and what they had to do either at the beginning or the end of it. Here, they had an “a ha” moment and said in unison, “Paid a toll”. We could have gone on all day with this one activity as it opened up so many sub-topics and conversations. I hadn’t expected it to go this far but was pleasantly surprised by it.

Even though my students are very young, I feel that it is so important to introduce them things that they will have to do as adults.

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Looking at the math in a financial literacy quiz

by Valerie
January 4th, 2011

Below is another quiz to look at skills related to financial literacy, this one was developed by the FINRA Investor Foundation, as part of their Financial Capability Study. Recent reports note that 85% of Americans got at least on question wrong on this quiz. In this case, most questions are connected to mathematical thinking and understanding, although some are about specific products. What strikes me, in this quiz, as it did in the last one, is that the mathematical questions are really about basic numbers sense and understanding – do things getting bigger or smaller when certain relationships are in place. Often, in math classrooms, we are so focused on kids practicing skills that we leave out discussions about what’s happening and these discussions can be particularly rich when we ask kids to make predictions about what will happen and defend those predictions based on what they know about mathematics and relationships.

For example, in the case of the first questions in this survey, what if instead of posing that questions as it is, you gave your students the following information:

Suppose you have $100 in a savings account earning 2 percent interest a year. What do you think would happen after 5 years?

There are lots of opportunities to take financial education content and work it into math classrooms in ways like this – getting kids talking about money (investments or debt) and the ways it might grow – linearly and exponentially – and what happens over time and how long those times frames might be. This can help to create awareness of the different types of financial products available and what those difference might really be about.

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Connections between Mathematical Understanding and Financial Actions

by Valerie
January 3rd, 2011

The connection between math skills and financial decisions does not seem like a stretch. Recent research has made some nice connections between individuals’ understanding of mathematical concepts, like percents, interest and the impacts of those of those on long-term costs for a consumer and individuals’ behavior with respect to their mortgage payments.  Numeracy and the Subprime Crisis, an article in the Economist based on research by the Federal Reserve Bank of Atlanta examined the numeracy skills of subprime borrowers to try to determine how math skills connect to one’s likelihood of defaulting on his or her mortgage. They used a quiz like this, to examine individuals’ math skills:

I found the quiz in this article to be particularly interesting not only because it make a strong connection between common middle school mathematical concepts (percents, fractions, etc) and financial decisions, but it also raised for me a less discussed notion that people need not just understand these ideas, but  they must be able to make sense of them quickly and in potentially stressful situations. At times of large purchases, like homes or car purchases, or for that matter, college, people often may not have a concrete idea what they are getting into as compared to what they can really handle (as evidenced by the recent US housing crisis). People tend to think of purchases like this at fixed monthly expenses, but in truth the decisions are even more complicated. One is not just buying a house and incurring a mortgage payment, he or she needs to know what they would do if the roof leaked, if the washing machine broke, etc. These decisions are complex beyond being able to calculate a sale price based on a percentage discount or the likelihood of winning the lottery (although those kind of calculations and understandings are important to financial decisions).

This raises questions for me about two things, first – how can we help students build fluency (that is their ability to do mathematical calculations quickly and accurately in their heads) with the concepts  presented in this quiz in meaningful ways beyond (or in addition to) repetitive practice with contexts they think they will never use (or without context at all); and second – are there ways we can use the math classroom to help students make more sense of these kinds of decisions and how to model the true costs of home ownership, car ownership,  the penalties (costs) of not making timely payments and other realistic scenarios.

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Financial Decisions & Problem Solving

by Valerie
November 11th, 2010

There seems to be strong evidence that there is a connection between mathematical thinking and financial decision making. In a recent study conducted by the Federal Reserve Bank of Atlanta, for example, the researchers connected individuals’ “numerical ability and economic literacy” with their likelihood of defaulting on a subprime mortgage. To assess individuals’ numerical ability, they used a quiz like this.

The question that brings up for me is: how do we use the classroom setting to help prepare students to make informed and thoughtful financial decisions?  In the context of financial education, I think we need to look to problem solving as an important tool to model and make financial decisions. Problem solving in this context means we want students to learn to articulate and see: the problem, their options, their assumptions about the behavior and outcome they want, and to then explore the paths to get to their desired outcome and choose from among those paths recognizing the trade-offs they may be making. As we explore this type of problem solving with students, it’s important to stress that based on the given problem, individuals options may vary and thus their potential solutions might as well.

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Welcome!

by Valerie
November 3rd, 2010

Welcome to our Financial Education in the Math Classroom Blog! We at the Math Forum want to help create and aggregate useful resources for teachers that will help students see how important math is in understanding money, monetary decisions and money management. We recognize there is a big push for financial education in schools these days and a great deal of concern that students are leaving school lacking skills that are related to money. We also recognize that teachers need to have resources for their classrooms and for themselves, since in most teacher education programs there was was a minimal focus on teaching financial education to students. As we develop our resources, we want to include as much teacher feedback and advice as possible because we feel that teachers are the best judge of what will be useful for them in their classrooms.

What can you expect to see here?

  • Relevant and recent articles on financial education topics
  • Ideas for classroom activities and where they might fit into common math topics
  • Links to Math Forum resources that might be of use
  • Resources that seem useful from other people/sites/organizations
  • And more…as it seems relevant

Thanks for visiting, hope to see you again soon.

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