Students use latex tubes and bicycle pumps to conduct experiments to gather data about the relationship between latex strength and air pressure. Then they use this data to extrapolate latex strength to the size of latex tubing that would be needed in modern passenger sedans to serve as hybrid vehicle accelerators, thus answering the engineering design challenge question posed in the first lesson of this unit. Students input data into Excel spreadsheets and generate best fit lines by the selection of two data points from their experimental research data. They discuss the y-intercept and slope as it pertains to the mathematical model they generated. Students use the slope of the line to interpret the data collected. Then they extrapolate with this information to predict the latex dimensions that would be required for a full-size hydraulic accumulator installed in a passenger vehicle.

This task gives a variet of real-life contexts which could be modeled by a linear or exponential function. The key distinguishing feature between the two is whether the change by equal factors over equal intervals (exponential functions), or by a constant increase per unit interval (linear functions).

This art history video discussion provides an introduction to Filippo Brunelleschi's experiment regarding linear perspective, c. 1420, in front of the Baptistry in Florence.

Students complete an exercise showing logarithmic relationships and examine how to find the linear regression of data that does not seem linear upon initial examination. They relate number of BMD scanners to time.

This task asks students to consider the linear and quadratic functions appearing on a coordinate plane.

This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly abstract, fourth graders can understand infinity in an informal way.

This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry.

This task is intended for instruction, providing the students with a chance to experiment with physical models of triangles, gaining spatial intuition by executing reflections.

This course studies the development of bilingualism in human history (from Australopithecus to present day). It focuses on linguistic aspects of bilingualism; models of bilingualism and language acquisition; competence versus performance; effects of bilingualism on other domains of human cognition; brain imaging studies; early versus late bilingualism; opportunities to observe and conduct original research; and implications for educational policies among others. The course is taught in English.

This course is a detailed examination of the grammar of Japanese and its structure which is significantly different from English, with special emphasis on problems of interest in the study of linguistic universals. Data from a broad group of languages is studied for comparison with Japanese. This course assumes familiarity with linguistic theory.

The primary goals of this text are to acquaint prospective teachers of English with certain aspects of the history, structure, and use of the English Language. Through considering the nature of the English language; how language and culture are interconnected as well as how it is acquired and how and why it changes, readers will come to a fuller understanding of sociolinguistics. This text discusses the nature of language, as well as how it is acquired; how and why languages change, and how the English language in particular has changed (and continues to change); why different varieties of English have developed, and why they continue to be used; how linguists have attempted to account for the (ir)regularities of English; how language and culture are related; and how linguistics can be used as a tool in the classroom. This text presents important topics for English teachers to know: the relationship between “standard” and “nonstandard” dialects, how and why language varies, how we can make informed decisions about what is “right” and “wrong” in language use, and generally how a sound knowledge of how language works can inform and benefit the pedagogical strategies needed to develop as a teacher. Ultimately, I want readers to think about language in ways not thought of before: objectively, passionately, critically, analytically, and logically. This allows readers to move beyond memorization of facts to original thought (which is sort of like the difference between knowing how to add and subtract, and being able to balance a checkbook).

Students use next-generation air quality monitors to measure gas-phase pollutants in the classroom. They apply the knowledge they gained during the associated lesson—an understanding of the connection between air pollutants and their possible sources. Student teams choose three potential pollutant sources and predict how the monitor’s sensors will respond. Then they evaluate whether or not their predictions were correct, and provide possible explanations for any inaccuracies. This activity serves as a simple introduction to the low-cost air quality monitoring technology that students use throughout the associated activities that follow. Three student handouts are provided.

The most important festival in the Chinese calendar is the New Year or Spring Festival. One of the annual events used to commemorate the festival is a colorful parade complete with animated dragon and lion figures.

In the first activity the student will learn the major differences between Eastern and Western dragons and discover why Eastern dragons are associated with Chinese New Year. They will hear a story about how the dragons came to rule major rivers of China. In the second activity, they will also learn about the Chinese New Year Dragon Parade and discover why firecrackers are used to drive off evil spirits, especially one called the Nian. In the third activity the students will see images of parading dragons, including sound-enhanced video and read poems about the New Year. In the fourth lesson the students will discover that the Chinese lion has imaginary characteristics similar to the dragon. They will view images of the lion and hear about how this highly stylized beast once fought the ferocious Nian. They will learn about the lion dancers in the New Year parade and compare them to the dragon dancers. Finally they will make their own lion masks.

This art history video discussion examines Fra Fillippo Lippi's "Portrait of a Man and Woman at a Casement", tempera on wood, c. 1440 (Metropolitan Museum of Art).

A seven-week module for high intermediate ESL students who need to develop better listening comprehension and oral skills. The workshop involves short speaking and listening assignments with extensive exercises in accurate comprehension, pronunciation, stress and intonation, and expression of ideas.

Students create arrangements of a melody and listen to recordings contrasting in style and genre.

Students brainstorm strategies to guide their listening as they describe and label music of different genres.

Introduction to "soft" consumer research methods, useful for getting quick customer input into decisions on product design and development, strategic positioning, advertising, and branding. Covers interview techniques, observational methods, Voice of the Customer, focus groups, and analyses suitable for qualitative data. Introduces new information-gathering methods in development at MIT.

This short video and interactive assessment activity is designed to teach fourth graders about listing common multiples.