Rubric for Mathematics History Portfolio Mathematics History Portfolio: This semester you will

Rubric for Mathematics History Portfolio

Mathematics History Portfolio: This semester you will create a portfolio to research select topics on the historical development of mathematics. It has three parts as follows.

Part 1: For each of the eight math content areas (Number and Quantity, Algebra, Geometry, Trigonometry, Statistics, Probability, Calculus, and Discrete Mathematics), you need to submit one double-spaced typed page for each to give eight pages in all for this section of the portfolio. You are free to choose which area of the topic you would like to research (e.g., historical figure contributing to that topic, significant discovery, etc.). You should include the contributions from diverse cultures throughout your portfolio (e.g., Africa, Pre-Columbian Americas, Asia, Middle East, etc.). While contributions from diverse cultures should appear throughout, you must include diverse contributions in at least four of the mathematics content areas.

Part 2: Additionally, you will provide one page each explaining how to represent numbers in the following three numeral systems to have an additional three pages total: Egyptian, Babylonian, and Maya.

Part 3: Finally, you will provide one page each for a proof of the Pythagorean Theorem and the proof that the square root of two is irrational to provide an additional two pages total.

The total assignment is 13 pages in all with an additional page each for your cover sheet and your reference page to provide 15 pages total including cover sheet and reference page.

Note: Please place the entire project into a single Word or PDF document. Separate attachments will not be accepted. Please place the portfolio in order (Part 1, Part 2, and Part 3). Also, keep to the order of content areas found below in the rubric (e.g., Part 1: Number and Quantity, Algebra, etc.; Part 2: Egyptian Numbers, Babylonian Numbers, etc.; Part 3: Pythagorean Theorem, Square Root of 2 is irrational). Label each page with the content area that you are addressing (e.g., Number and Quantity, Algebra, etc.). For Part 1, while you are free to choose which area you want to address, each content area must be addressed (Number and Quantity, Algebra, Geometry, Trigonometry, Statistics, Probability, Calculus, and Discrete Mathematics). Remember that Part 1 is flexible and your choice, while Parts 2 and 3 are more specifically assigned.

Mathematics History Portfolio Rubric

Mathematics History Portfolio

Exemplary (3 points)

Satisfactory (2 points)

Developmental (1 point)

Unsatisfactory (0 points)

Number and Quantity

An historical analysis of number systems is thoroughly addressed.

An historical analysis of number systems is satisfactorily addressed.

An historical analysis of number systems is developmentally addressed.

An historical analysis of number systems is not addressed or is addressed in an unsubstantial manner.

Algebra

An historical analysis of algebra is thoroughly addressed.

An historical analysis of algebra is satisfactorily addressed.

An historical analysis of algebra is developmentally addressed.

An historical analysis of algebra is not addressed or is addressed in an unsubstantial manner.

Geometry

An historical analysis of Euclidean and non-Euclidean geometry is thoroughly addressed.

An historical analysis of Euclidean and non-Euclidean geometry is satisfactorily addressed.

An historical analysis of Euclidean and non-Euclidean geometry is developmentally addressed.

An historical analysis of Euclidean and non-Euclidean geometry is not addressed or is addressed in an unsubstantial manner.

Trigonometry

An historical analysis of trigonometry is thoroughly addressed.

An historical analysis of trigonometry is satisfactorily addressed.

An historical analysis of trigonometry is developmentally addressed.

An historical analysis of trigonometry is not addressed or is addressed in an unsubstantial manner.

Statistics

An historical analysis of statistics is thoroughly addressed.

An historical analysis of statistics is satisfactorily addressed.

An historical analysis of statistics is developmentally addressed.

An historical analysis of statistics is not addressed or is addressed in an unsubstantial manner.

Probability

An historical analysis of probability is thoroughly addressed.

An historical analysis of probability is satisfactorily addressed.

An historical analysis of probability is developmentally addressed.

An historical analysis of probability is not addressed or is addressed in an unsubstantial manner.

Calculus

An historical analysis of calculus is thoroughly addressed.

An historical analysis of calculus is satisfactorily addressed.

An historical analysis of calculus is developmentally addressed.

An historical analysis of calculus is not addressed or is addressed in an unsubstantial manner.

Discrete Mathematics

An historical analysis of discrete mathematics is thoroughly addressed.

An historical analysis of discrete mathematics is satisfactorily addressed.

An historical analysis of discrete mathematics is developmentally addressed.

An historical analysis of discrete mathematics is not addressed or is addressed in an unsubstantial manner.

Egyptian Numbers

Demonstrates how to represent numbers using the Egyptian system that is substantive and correct.

Mostly demonstrates how to represent numbers using the Egyptian system that is substantive and correct.

Partially demonstrates how to represent numbers using the Egyptian system that is substantive and correct.

Does not demonstrate how to represent numbers using the Egyptian system that is substantive and correct.

Babylonian Numbers

Demonstrates how to represent numbers using the Babylonian system that is substantive and correct.

Mostly demonstrates how to represent numbers using the Babylonian system that is substantive and correct.

Partially demonstrates how to represent numbers using the Babylonian system that is substantive and correct.

Does not demonstrate how to represent numbers using the Babylonian system that is substantive and correct. .

Maya Numbers

Demonstrates how to represent numbers using the Maya system that is substantive and correct.

Mostly demonstrates how to represent numbers using the Maya system that is substantive and correct.

Partially demonstrates how to represent numbers using the Islamic system that is substantive and correct.

Does not demonstrate how to represent numbers using the Islamic system that is substantive and correct.

Pythagorean Theorem Proof

The proof is completely correct.

The proof is mostly correctly

The proof is partially correct.

The proof is incorrect.

Square Root of 2 Proof

The proof is completely correct.

The proof is mostly correctly

The proof is partially correct.

The proof is incorrect.

Diversity

The first eight pages of the portfolio has at least four of the eight areas with diverse contributions.

The first eight pages of the portfolio has three of the eight areas with diverse contributions.

The first eight pages of the portfolio has two of the eight areas with diverse contributions.

The first eight pages of the portfolio has one or none of the eight areas with diverse contributions.

Writing Quality, Cover Page, and Reference Page

Portfolio is well written and presented. There is a cover page and reference page included and is in APA format or another acceptable format.

Portfolio is satisfactorily written and presented. There is a cover page and reference page included and is in APA format or another acceptable format.

Portfolio is somewhat well written and presented. There is a cover page and a partial reference page.

Portfolio is not well written and presented. There is not a cover page or missing reference page.