Mathematics Homework Help

1 Assignment InformationThree prompts are provided, and you are to choose one on which to compose a well-written essay. You are encouraged to consult with sources (beyond our textbook); you are also encouraged to compile your references in a standard, APA-formatted bibliography but this is not strictly required.When you turn this assignment in to be graded, please include a copy of this first page with allinformation completed.

Essay 1 Prompts

PROMPT A(between 1 and 2 pages). A model of Eucliden Geometry is what most teachers andstudents engage with in a typical, American Geometry course. Specifically (and as can be seen in ourown geometry textbook), the model is that of a “flat sheet of paper” where “points” are tiny dotsand “lines” are familiar-looking objects one can draw using a ruler. Do you think there is a place fora discussion of logic (statements, negation,∧,∨,⇒, Deduction, etc.) in such a course? If not, whynot? If so, how would you go about incorporating such a topic in an elementary-level classroom? Amiddle-school class?

PROMPT B(between 1 and 2 pages) Watch this video(and/or read the article transcription) andthen compose an essay in which you contemplate the strengths or weaknesses of “New Math” and/or“Common Core Math.” What teaching choices might you make in your math classroom, and how arethey informed by what you learned in this video? How might they be different or the same?

PROMPT C Design and describe an activity appropriate for a math classroom (for a particular gradebetween 4th and 8th) like the one(s) we engaged in during our second meeting. Specifically, designand describe a new (and hopefully simple) Axiomatic System that your students can explore. Whattheorems might they be able to discover from your system? What benefits might this activity offeryour students?