Why study Quantitative Literacy?

Most students sign up for this course to fulfill a general education mathematics requirement. And this text is certainly aimed at that general audience. But by the time the course is completed, the authors hope that you will have developed some appreciation for the usefulness and elegance of the subject. Without doubt, some level of competency and comfort in working with numerical data is needed to navigate the modern world; and we have tried to cover topics that can be used in day to day life.

In this book, we will focus on problem solving and critical thinking skills. Our goal is not to prepare you just for the next math class, but to equip you with the necessary tools so that you can apply basic mathematical reasoning to a wide variety of commonly encountered problems. Along the way, we will learn basic logic, how to work with percentages and units, the basics of consumer finance, and how to use and interpret basic statistical data.

This task presents a real world application of finite geometric series. The context can lead into several interesting follow-up questions and projects. Many drugs only become effective after the amount in the body builds up to a certain level. This can be modeled very well with geometric series.

This art history video discussion looks at Thomas Couture's "Romans of the Decadence," 1847, oil on canvas. (Musée d’Orsay, Paris).

Seminar provides an overview of quantitative and qualitative research methods in the social sciences. Topics covered include: hypothesis formulation and theory construction; data collection techniques (experimental, survey, and observational); ethical issues in research; and how to prepare a research proposal. Goal is to provide students with the methodological skills to evaluate existing studies and to select appropriate methods for use in their own research.

This class provides an overview of some of the techniques used in creating costume pieces that are crafted rather than sewn. We will use a variety of materials and techniques to create specific costume pieces while at the same time exploring alternative applications possible for each material/technique.

This art history video discussion examines Lucus Cranach the Elder's "Adam and Eve", 1526, oil on panel (Courtauld Gallery, London).

Students learn about the physical force of linear momentum movement in a straight line by investigating collisions. They learn an equation that engineers use to describe momentum. Students also investigate the psychological phenomenon of momentum; they see how the "big mo" of the bandwagon effect contributes to the development of fads and manias, and how modern technology and mass media accelerate and intensify the effect.

In this lesson, students find their location on a map using Latitude and Longitudinal coordinates. They determine where they should go to be rescued and how best to get there.

In this activity, students learn about astronomical phenomena we can see in the universe and create their own music inspired by astronomical images. By performing original musical improvisations, students enhance their knowledge of what astronomical phenomena are represented in images and experiment with creative ways of representing these using music. This activity engages students in first hand exploration of music and astronomy connections.

You are preparing your family’s emergency kits in case there is a need to leave your home quickly, or stay in your home without electricity or water. You need to be able to create an emergency supply kit that includes a lightweight water filtration device that is low cost. This will provide you with clean water regardless of your water source.

In this project, you will gain knowledge of natural disaster preparedness through the Red Cross Pillowcase project. You will research and experiment with the water cycle to learn how water is naturally filtered. You will then design and build a water filtration device that could filter water in an emergency situation.

Students put their STEAM knowledge and skills to the test by creating indoor light fixture “clouds” that mimic current weather conditions or provide other colorful lighting schemes they program and control with smartphones. Groups fabricate the clouds from paper lanterns and pillow stuffing, adding LEDs to enable the simulation of different lighting conditions. They code the controls and connect the clouds to smart devices and the Internet cloud to bring their floating clouds to life as they change color based on the weather outside.

In this activity students create a "magic lantern show," or presentation that illustrates how African American defined freedom for themselves after emancipation and the challenges and threats they faced. Students use primary sources from the Reconstruction period. This activity can accompany a viewing of the filmDr. Toer's Amazing Magic Lantern Show: A Different View of Emancipation.

In this activity, students construct their own pinhole camera to observe the behavior of light.

Students learn about the role engineers and mathematicians play in developing the perfect bungee cord length by simulating and experimenting with bungee jumping using washers and rubber bands. Working as if they are engineers for a (hypothetical) amusement park, students are challenged to develop a show-stopping bungee jumping ride that is safe. To do this, they must find the maximum length of the bungee cord that permits jumpers (such as brave Washy!) to get as close to the ground as possible without going "splat"! This requires them to learn about force and displacement and run an experiment. Student teams collect and plot displacement data and calculate the slope, linear equation of the line of best fit and spring constant using Hooke's law. Students make hypotheses, interpret scatter plots looking for correlations, and consider possible sources of error. An activity worksheet, pre/post quizzes and a PowerPoint® presentation are included.

In this activity students learn about the people and places, and the social rules that governed them, in San Francisco's Chinatown in the 1800s. Students develop a character based on the real people who lived in Chinatown, and then create a walking tour of what life was really like in "their" neighborhood. Students analyze photographs and read short background texts to gather information for their tours.

In this activity, students familiarise themselves with asteroids. They discuss and build their own model asteroids. They learn how asteroids are formed in the Solar System. At the end of the activity, each student has their own model asteroid made from clay.

Students’ background understanding of electricity and circuit-building is reinforced as they create wearable, light-up e-textile pins. They also tap their creative and artistic abilities as they plan and produce attractive end product “wearables.” Using fabric, LED lights, conductive thread (made of stainless steel) and small battery packs, students design and fabricate their own unique light-up pins. This involves putting together the circuitry so the sewn-in LEDs light up. Connecting electronics with stitching instead of soldering gives students a unique and tangible understanding of how electrical circuits operate.

Student teams design and then create small-size models of working filter systems to simulate multi-stage wastewater treatment plants. Drawing from assorted provided materials (gravel, pebbles, sand, activated charcoal, algae, coffee filters, cloth) and staying within a (hypothetical) budget, teams create filter systems within 2-liter plastic bottles to clean the teacher-made simulated wastewater (soap, oil, sand, fertilizer, coffee grounds, beads). They aim to remove the water contaminants while reclaiming the waste material as valuable resources. They design and build the filtering systems, redesigning for improvement, and then measuring and comparing results (across teams): reclaimed quantities, water quality tests, costs, experiences and best practices. They conduct common water quality tests (such as turbidity, pH, etc., as determined by the teacher) to check the water quality before and after treatment.

Students create silver nanoparticles using a chemical process; however, since these particles are not observable to the naked eye, they use empirical evidence and reasoning to discover them. Students first look for evidence of a chemical reaction by mixing various solutions and observing any reactions that may occur. Students discover that copper and tannic acids from tea reduce silver nitrate, which in turn form silver. They complete the reaction, allow the water to evaporate, and observe the silver nanoparticles they created in plastic dishes using a stereo microscope. Students iterate on their initial process and test to see if they can improve the manufacturing process of silver nanoparticles.

Student teams investigate the properties of electromagnets. They create their own small electromagnet and experiment with ways to change its strength to pick up more paper clips. Students learn about ways that engineers use electromagnets in everyday applications.