New Chemistry Video Series

We have the first two videos up for our chemistry video series. Check them out below! You can view the whole chemistry playlist here. Don’t forget to like and subscribe!

Refactoring Introductory Calculus, Part 1

Our latest video is Refactoring Introductory Calculus, Part 1.

In computer programming, the word “refactoring” refers to taking a process apart and putting it back together with the components slightly shifted in order to make the result both easier to understand and use while simultaneously being more powerful. This is the first episode in a series about rethinking the way that calculus is taught and communicated in order to do the same thing – simplify the foundations while increasing the power of those foundations.

In this part, we will talk about how focusing on differentials instead of derivatives makes the process of calculus easier, giving a unified set of rules for single-variable, implicit, and multivariable derivatives. Additionally, the process given here removes the need for the chain rule, which simply follows naturally from the process rather than having to be some special rule.

Unfortunately, YouTube doesn’t allow arbitrary links, so we are linking all of the YouTube cards in the video to this post. Here are the links to the items discussed in the YouTube cards:

  1. Simplifying and Refactoring Introductory Calculus. This is the paper that serves as the basis for the video series.
  2. To see how this works with higher-order differentials, see the paper Extending the Algebraic Manipulation of Differentials.

Two New Books from Jerry Bergman

Bartlett Publishing is proud to release two new books from author Jerry Bergman. Bergman is a prolific author and his previous book, Fossil Forensics, is one of out bestselling titles.

This fall, Bergman release two new titles – Poor Design: An Invalid Argument Against Intelligent Design and Useless Organs: The Rise and Fall of a Central Claim of Evolution. These two books are a stunning combination of physiology, philosophy, and natural history. They knit together the details of the systems of the human body together with the understanding of what they mean in the context of modern claims about the nature of humanity.

Bergman skillfully shows that the things that we used to think were junk (or poorly designed) were, to a large extent, a testimony to our ignorance about those systems rather than evidence of their poor design or lack of function. Biology is best understood in the context of well-organized systems, and these books show why this conception is better than the alternatives.

These are perfect books to read on their own. However, they should also be considered for use as supplemental material for homeschool biology and anatomy courses.

YouTube Channel – BPLearningTV

We are getting serious about our YouTube channel, youtube.com/BPLearningTV. We just uploaded the first video in a long time on the Hyperreal Number System! Check out the video, and don’t forget to like and subscribe to the channel.

Introducing Calculus from the Ground Up

BP Learning is pleased to announce our most recent title – Calculus from the Ground Up!

This innovative approach to calculus can be used within both classroom and self-learning environments, and in both high school and early college. The book retails for $34.95.

Book Description

Calculus is one of humanity’s greatest achievements. With calculus, you can analyze the infinitely large, the infinitely small, and everything in-between. Calculus gives you the tools to develop your own mathematics, your own formulas, and, most importantly, your own imagination. Calculus is not just a subject. It is an invitation to think differently about the way that the world works.

Calculus has a reputation for being a dry, dreary, difficult subject. However, the problem generally lies with tedious, lifeless books that present calculus with all the vigor of a wilted salad. Calculus was not discovered as a series of dull proofs about the real number line. It was discovered by curious people who took the time to look at the world in a new way.

Calculus from the Ground Up invites readers to not just read about mathematics but to become active participants–making numbers and symbols the servants of their minds as they grow their imaginations in ways they didn’t think possible.

Calculus from the Ground Up isn’t your typical mathematics book. It is a guidebook for students to learn not only the bare subject of calculus, but also to discover how its artistry impacts other areas of life. Calculus from the Ground Up includes sections on how to solve impossible problems, how to break problems into manageable sizes, how to develop new mathematical formulas, and even how to live a more ethical life, all through lessons gained from calculus.

A Solution Guide ($24.95) is also available.

The Need for a New Computer Algebra Software System

I have been intrigued and amazed by computer algebra systems since I first did simple algebra problems on an Apple II (I don’t remember the name of the program, though). The set of systems that we have available is quite amazing, yet, I think that we are missing some important tools.
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Tulsa Homeschool Expo – How and Why to Teach Computer Programming

This weekend was the Tulsa Homeschool Expo – thanks to everyone who came out to see us! We had a great time, and got to share with homeschooling parents our vision for how they can better raise the next generation of adults.
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Fossil Forensics is Currently Amazon’s #1 New Release in Paleontology

We are proud to announce that our recent title, Fossil Forensics: Separating Fact from Fantasy in Paleontology is currently Amazon’s #1 New Release in Paleontology! Have you ever wondered what is real and what is hype regarding the various fossil finds described in the media? This book has your answers.

You can currently purchase the book from Amazon or Barnes and Noble.

Get New Programmers Start Here with an Amazon Discount Code

It’s Prime day! You can buy New Programmers Start Here or any other book from Bartlett Publishing today for $5.00 off of the everyday price at Amazon.com. Click on the link below and enter in the discount code of PRIMEBOOKS17 during checkout to receive your discount!

Click on any of the products below to order from Amazon.com:

New Programmers Start Here at Rainbow Resource

We are happy to announce that Rainbow Resource, one of the leading providers of homeschool educational materials, is now carrying our programming book, New Programmers Start Here!

New Programmers Start Here is an introduction to computer programming that is specialized to the needs of homeschool students in junior high and high school who have no prior computer programming experience. It teaches the history of computers, the basics of how the Internet, the web, and HTML works, and how to program the computer using the JavaScript programming language.

The New Programmers Start Here website contains numerous resources to go with the book, including videos and handouts.

Rainbow Resource maintains an inventory of only the highest quality classroom materials, and we are honored that they are carrying our products.

See New Programmers Start Here at Rainbow Resource