This week we were to post an entry that shows a series of links. The links could have some sort of a common theme. Second, we are to make a list entry. This list could be a list of any topic. As professor Barbour described it, a top ten list is an example. Finally, we were to post a discussion question entry. The purpose of this type of entry is to encourage the beginnings of a conversation with others on your blog.
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
a system of algebra based on given axioms. plural noun: algebras
Some numbers, such as your phone number or your Social Security number, are decidedly more important than others. One of the cornerstones of Algebra, frankly all of mathematics, is numbers! Here is my list of some of the most important numbers in Algebra:
1) Of course the first number must be: 1!!
The number one is far more special than a prime! It is the unit (the building block) of the positive integers, hence the only integer which merits its own existence axiom in Peano’s axioms. It is the only multiplicative identity (1.a = a.1 = a for all numbers a). It is the only perfect nth power for all positive integers n. It is the only positive integer with exactly one positive divisor. But it is not a prime.
source: Primes FAQ
2) Archimedes’ Constant (Pi): 3.1415…
Archimedes’ constant, or “Pi,” is the name given to the ratio of the circumference of a circle to the diameter, but it’s actually so much more than that.
Greek mathematician Archimedes is credited with the first theoretical calculation of Pi, which he estimated was between 3 10/71 and 3 1/7 — or 223/71.
Pi is now defined as 3.1415926535… etc
Application: Pi is the key constant in any equation that involves circular or harmonic motion. It’s one of the most essential relationships in mathematics.
Imaginary Unit: i
“i” equals the square root of -1, which means that i squared is equal to -1.
Application: Negative numbers don’t have square roots. Math had advanced to the point where saying “there is no square root of negative numbers” was holding back a lot of progress.
Solutions of some polynomials have both real solutions that we could use in real life as well as solutions that involved the square root of a negative number, which can be discarded.
Did you know that there is an easy way to share all of your favorite links?
Check our Symbaloo! Symbaloo is a personal startpage that allows you to easily navigate the web and compile your favorite site all in to one visual interface. Save your bookmarks in the cloud and access them from anywhere with any device. Symbaloo is a visual bookmarking tool that makes it simple and fun to organize the best of the web. You and your students will have all your favorite websites at your fingertips. With an account you and your students can access your bookmarks from everywhere with any device and share online resources with others. Create your personal startpage for the web and connect your social media and read RSS feeds! Your students can easily find all the resources you set up for them in one location!
I have put together my favorite Algebra links here
Week 4: – Blogging in the Classroom. This week we are exploring different types of blog entries. We are coming up with a thematically way to link all of these entries, so we are not just posting on random things.
The readings this week were interesting but after reading the article by Stephanie Sandifer, 7 Days – Day 1: Blog Layout & Design for Readability & Usability, I knew I needed to start by answering the following questions:
- What is the purpose of my blog?
- What do I want readers/learners to get when they visit my site?
- Consider your answer to the last question and then ask yourself: Does my blog layout and design emphasize what it is that I want my readers/learners to get when they visit? Is that information included in a visually prominent way when someone first visits my blog, or is it hidden in a list of links or on some other page?
I am a high school and college level mathematics tutor so it makes sense for me to create a “theme” for my blogging around math! My favorite topic in mathematics is Algebra! I love solving equations, graphing, and factoring. The purpose of my blog “section” (in this case since my WordPress is dedicated to the MET program my blog will refer to the EdTech 537 and reflection section) is to provide a valuable resource to my students for all things Algebra!
I want my readers or my students to be able to easily find extra help or inspiration while working through their online courses in Algebra. I hope to focus this theme throughout the remainder of this course and use it to eventually build an entire blog dedicated to my love of Algebra.
The last question posed above is difficult to answer. Ideally my entire blog would be dedicated to one topic; however, reality will not allow this. I have a family, a job (even in the summer), and I am taking two classes this summer. I will try to make the appropriate postings easy to find by tagging “algebra” and “math” but this will only help … not solve the problem. I believe that by dedicating a section with a single focus will serve the purpose I seek.