The GeometricTransformations
Many times in mathematics and in geometry in particular,
visualization of the concepts that are being taught is difficult for
students. This problem can be avoided with the use of a tool such as
Geometers Sketchpad. One of the best attributes of this program is that it is not a drill and practice program, but instead it requires the
students further develop their understanding of mathematical concepts. This lesson was designed to help make the concepts of translations, ro

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Fractals in the Body
Fractal patterns turn up everywhere in biology, from the irregular rhythm of the heart to basic eye function. The fractal nature of such physiological processes, which obey simple mathematical rules, offers hope of better diagnosis and treatment of problems as well as new insights into how such processes work. Running time 10:15

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Following Children's Ideas in Mathematics
An unprecedented long-term study conducted by Rutgers University
followed the development of mathematical thinking in a randomly
selected group of students for 12 years - from 1st grade through high
school - with surprising results. In an overview of the study, we look
at some of the conditions that made their math achievement possible.

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Amazing Equations
Using the day of the month, first- and second-graders investigate the
concepts of addition and subtraction as they share story problems that relate to the date.
Teams use everyday language and experiences to connect to the
mathematical language and symbolism for operations. NCTM standards: concepts of whole number operations, whole number computation, communication, connections.

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Domino Math
First- and second-graders investigate number relationships and explore the concept of addition in a part-whole model using dominoes. They develop mathematical communication as they represent mathematical ideas with physical materials, words, diagrams, and symbols. NCTM standards: concepts of whole number operations, whole number computation, problem solving, communication.
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The Law of Falling Bodies
With the conventional wisdom of the Aristotelian world view, almost everyone could see that heavy bodies fell faster than lighter ones. Then along cam Galileo. His genius deduced that the distance a body has fallen at any instant is proportional to the square of the time spent falling. From that, speed and acceleration follow with the help of a mathematical tool called a derivative.
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Sound Waves and Mathematics
Uses a graphing calculator to explain sound (sinusoidal) waves through advanced mathematical formulas. Color and sound, but mostly shows views of graphing calculator and equations. Grades 10-12. 9:17 min.
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Lost Civilization - Maya - 1 of 6
Narrated by Sam Waterston, this documentary focuses on the history of Mayan civilization. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This documentary is suitable for older middle and high school students.
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Lost Civilization - Maya - 2 of 6
Narrated by Sam Waterston, this documentary focuses on the history of Mayan civilization. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This documentary is suitable for older middle and high school students.
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Lost Civilization - Maya - 3 of 6
Narrated by Sam Waterston, this documentary focuses on the history of Mayan civilization. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This documentary is suitable for older middle and high school students.
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Lost Civilization - Maya - 4 of 6
Narrated by Sam Waterston, this documentary focuses on the history of Mayan civilization. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This documentary is suitable for older middle and high school students.
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Lost Civilization - Maya - 5 of 6
Narrated by Sam Waterston, this documentary focuses on the history of Mayan civilization. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This documentary is suitable for older middle and high school students.
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Lost Civilization - Maya - 6 of 6
Narrated by Sam Waterston, this documentary focuses on the history of Mayan civilization. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This documentary is suitable for older middle and high school students.
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Who Killed The Maya? The History Channel 1/5
This documentary explores the reasons for this society's demise. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This History Channel documentary is suitable for older middle and high school students.
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Who Killed The Maya? The History Channel 2/5
This documentary explores the reasons for this society's demise. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This History Channel documentary is suitable for older middle and high school students.
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Who Killed The Maya? The History Channel 3/5
This documentary explores the reasons for this society's demise. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This History Channel documentary is suitable for older middle and high school students.
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Who Killed The Maya? The History Channel 4/5
This documentary explores the reasons for this society's demise. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This History Channel documentary is suitable for older middle and high school students.
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Who Killed The Maya? The History Channel 5/5
This documentary explores the reasons for this society's demise. 'The Maya is a Mesoamerican civilization, noted for the only known fully developed written language of the pre-Columbian Americas, as well as its art, architecture, and mathematical and astronomical systems.' (Maya Civilization, Wikipedia, 2009). This History Channel documentary is suitable for older middle and high school students.
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In Pursuit of the Salesman: Mathematics at the Limit of Computation - December 16, 2009
Lunch 'n Learn presentation: The traveling salesman problem, or TSP for short, is easy to state: given a number of cities along with the cost of travel between each pair of them, find the cheapest way to visit them all and return to your starting point. Easy to state, but difficult to solve! Despite decades of research by top applied mathematicians around the world, in general it is not known how to significantly improve upon simple brute-force checking. It is a real possibility that there may n
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6.253 Convex Analysis and Optimization (MIT)
6.253 develops the core analytical issues of continuous optimization, duality, and saddle point theory, using a handful of unifying principles that can be easily visualized and readily understood. The mathematical theory of convex sets and functions is discussed in detail, and is the basis for an intuitive, highly visual, geometrical approach to the subject.
Author(s): Bertsekas, Dimitri

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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative C