This is an assignment that focuses on to Demonstrate knowledge of the historical development of calculus. The paper also explains how the video supports the standards.
Demonstrate knowledge of the historical development of calculus
This assignment contains a hyperlink titled Derivatives Video. I wrote the link address next to the title. Please let me know if there is trouble accessing this link. Derivatives Activity Pre-Viewing This video illustrates the concept of differentiation, using real world applications to help you understand the concept. Prior to viewing the video complete problems in your Calculus textbook on the topics listed to refresh your familiarity with the concepts. View the Video As you view the video, observe how derivatives describe real world situations. Be sure to notice how the applications illustrate the various rules of differentiation.
Choose #3 Derivatives. Derivatives Video at: www.infocobuild.com/education/learn-through-videos/physics/TheMechanicalUniverse/lecture-03.html Post-Viewing Exploration The NCTM Connections Standard for Grades 9-12 states that “Instructional programs from pre-Kindergarten through grade 12 should enable all students to: recognize and use connections among mathematical ideas; understand how mathematical ideas interconnect and build on one another to produce a coherent whole; recognize and apply mathematics in contexts outside of mathematics.” NCATE, the National Council for Accreditation of Teacher Education, requires that candidates for teacher certification in quality programs at institutions of higher learning must” Demonstrate knowledge of the historical development of calculus including contributions from diverse cultures.” How does the video support the standards above?
The following quote is from the video:
True knowledge is written in this enormous book which is continuously open before our eyes, I speak of the universe, but one can’t understand it unless one first learns to understand the language and recognize the characters in which it is written. It is written in the language of mathematics. Additionally, to prepare to read the book of the universe, we must first learn the symbols and the language of mathematics. It is the language of precision and poetry and also even of music. How do the ideas of the video support these ideas?
Lastly, in a well written 1–2 page essay (using Times New Roman, 12-point font, single spacing, and 1-inch margins). respond to the questions listed in the above Post-Viewing Exploration, relating your ideas to the video, and explaining how you might incorporate all or part of this video into a particular calculus class. In your essay be certain to explain how this lesson supports both the CCSS Mathematical Practices and the NCTM Standards. Be specific and cite examples.