# Flu Math Games

Richard C. Larson
Mitsui Professor of Engineering Systems
Massachusetts Institute of Technology
Cambridge, Massachusetts 02139 USA

Sahar Hashmi
Massachusetts Institute of Technology
Cambridge, Massachusetts 02139 USA

Mai Perches
Wellesley College
Wellesley, Massachusetts 02481 USA

Lesson vetted and approved by CPALMS

This video lesson shows students that math can play a role in understanding how an infectious disease spreads and how it can be controlled. During this lesson, students will see and use both deterministic and probabilistic models and will learn by doing through role-playing exercises. There are no formal prerequisites, as students in any high school or even middle school math class could enjoy this learning video. But more advanced classes can go into the optional applied probability modeling that accompanies the module in a downloadable pdf file. Materials needed for the lesson include paper or cardboard, plus scissors and tape or staples, for making green, red and blue-colored hats for each student. These supplies are also needed for making numbers to draw out of a hat. The primary exercises between video segments of this lesson are class-intensive simulation games in which members of the class 'infect' each other under alternative math modeling assumptions about disease progression. Also there is an occasional class discussion and local discussion with nearby classmates.

Online Animations, visit the Accompanying Online Animations for a selection of animations and/or simulations designed in coordination with the BLOSSOMS video flu games and intended to supplement the ideas covered in the BLOSSOMS module. These resources were developed by e-Learning Arabia.

このビデオ授業は、生徒たちに、数学が伝染病の拡散の仕方に関わっていて、数学が伝染病の管理の仕方において一翼を担うことを示します。この授業で、生徒たちは決定論的モデルと確率モデルの両方を使い、ロールプレイで練習しながら学びます。どの高校生も中学生でさえもこのビデオ授業を楽しめますので、授業取得において特に決まった前提条件はありません。しかし、もっと発展的なクラスは、ダウンロード可能なPDFのファイルとしてこのモジュールに添付されている、オプションの応用確率モデリングに進むこともできます。この授業に必要な材料は、各生徒に緑と赤と青の帽子を作るための紙、ダンボール、ハサミ、テープ、ホッチキスです。また、これらの材料は、帽子の中から引く数字を作るために必要です。このビデオ授業の合間の主な練習課題は、クラスで集中的に行うシュミレーションゲームです。このシュミレーションでは、生徒たちが、病気の進行についての別の数学モデルの仮定のもとにお互いを感染させるのです。さらに、クラス全体の討論と小グループでの討論も行われます。

オンラインのアニメーション BLOSSOMSのインフルエンザゲームに合わせて制作し、BLOSSOMSのモジュールでカバーした概念を補足するアニメーションとシュミレーションについては付属のオンラインアニメーションをご覧ください。こうしたリソースはe-ラーニングアラビアによって制作されました。

シュミレーション１：指数関数的成長、交換をしないサンプリング

シュミレーション２：交換をするサンプリング

シュミレーション３：スーパー・スプレッダー

シュミレーション４：R0 =1.5

シュミレーション５：初期免疫

シュミレーション６：統計的インフルエンザ拡散シュミレーションツール

Dr. Larson's specialty is Operations Research, an interdisciplinary field that uses mathematics and the scientific method to improve decision-making in industry and government. His current major research project is pandemic influenza, in particular focusing on steps that individuals can take to reduce the chances of becoming infected with the flu virus. Click here to read a full bio.

Sahar Hashmi is an MD from Pakistan and is interested in healthcare management. She is currently an MIT graduate student, first in MIT's System Design and Management program and now in the Ph.D. program of the Engineering Systems Division, who is doing research on pandemic flu spread and its relation to behavioral changes using non-pharmaceutical interventions (NPI's).

Mai Perches is an undergraduate student at Wellesley College majoring in both Economics and Cinema and Media Studies.

This resource is a paper co-authored by Professor Richard Larson that discusses the importance of non-pharmaceutical interventions in preventing the spread of influenza.
http://blossoms.mit.edu/sites/default/files/Article.pdf

In this interactive, provided by NOVA, a player must use basic methods of field epidemiology to solve the medical mystery of a recent disease outbreak.
http://www.pbs.org/wgbh/nova/typhoid/detective.html

Is Epidemiology In Your Future? This site presents a promotional video webcast showing the many sides, and the many career opportunities, of this critical health profession.
http://www.rwjf.org/pr/product.jsp?id=26931#content

This site, sponsored by the Yale University-New Haven Teachers Institute, provides a curriculum unit that aims to provide students with background knowledge for the study of mathematical content that can be applied to the biological sciences, and attempts to connect relevant topics from the high-school mathematics content to the concepts in microbiology that affect real-life situations.
http://www.yale.edu/ynhti/curriculum/guides/2009/5/09.05.08.x.html

This site, sponsored by the Yale University-New Haven Teachers Institute, presents a cross-discipline mathematics unit designed for students in Algebra 2 or beyond. It incorporates functions with statistics to illuminate the useful nature of functions in translating data into models.
http://www.yale.edu/ynhti/curriculum/guides/2009/5/09.05.06.x.html

This site presents “The Great Flu Game” in which a player has to manage a worldwide outbreak of a new influenza virus, before it turns into a pandemic.
http://www.thegreatflu.com/

This educational software/game illustrates the consequences of allowing the flu to spread in an interactive graphical simulation. It is intended to inform people of the reasons to take measures that will help prevent further spreading of the flu. Funded by the biomedical research charity, WellcomeTrust.ac.uk.
http://www.miniclip.com/games/sneeze/en/

This site, provided by the Florida Department of Health, provides useful information on the importance of hand-washing and “careful” coughing in preventing the spread of flu.
http://www.fifthguy.com/handwashing.htm

This site provides resources to help hospital administrators and state and local health officials respond to the H1N1 flu pandemic.
http://www.cdc.gov/h1n1flu/tools/

This educational video describes flu viruses, how they infect the human body, and how researchers are finding vaccines for influenza.
http://www.ndep.us/Tracking-the-Flu

Title Language Format
Flu Math Games (English-Arabic Subtitles, MPEG 4) English-Arabic SubtitlesEnglish-Arabic Subtitles MPEG 4 Download
Flu Math Games (Portuguese Subtitles, mp4) English-Portuguese SubtitlesEnglish-Portuguese Subtitles MPEG 4 Download

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April 19, 2012 at 1:32 pm

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