### Buy My Second Novel!

In the U.S., you can purchase it here.

### Buy my first novel!

*Maki and the Bolide.*

*Maki and the Bolide*is available as a Kindle Direct Publication from Amazon.com by clicking either of the links.-
### Recent Posts

### Archives

- November 2018
- September 2018
- August 2018
- May 2018
- April 2018
- March 2018
- February 2018
- January 2018
- December 2017
- November 2017
- October 2017
- September 2017
- August 2017
- July 2017
- June 2017
- May 2017
- April 2017
- March 2017
- February 2017
- January 2017
- December 2016
- November 2016
- October 2016
- September 2016
- August 2016
- July 2016
- June 2016
- May 2016
- April 2016
- March 2016
- February 2016
- January 2016
- December 2015
- November 2015
- October 2015
- September 2015
- August 2015
- July 2015
- June 2015
- May 2015
- April 2015
- March 2015
- February 2015
- January 2015
- December 2014
- November 2014
- October 2014
- September 2014
- August 2014
- July 2014
- June 2014
- May 2014
- April 2014
- March 2014
- February 2014
- January 2014
- December 2013
- November 2013
- October 2013
- July 2013
- June 2013
- May 2013
- February 2013
- August 2012
- December 2011

### Categories

- A Journey back in time
- A Series about learning
- About the Internet
- About this blog
- Agent Orange
- Ann Althouse
- Ann Althouse v. Instapundit
- APL and J
- Art
- Asteroid strikes
- Astronomy
- Aunt Eleanor and Uncle Ed
- Bob Epstein
- Bolide Strikes
- Bring back the shop classes
- Bureaucracy and the size 8 shoe
- California drought
- Celebrating the holidays
- Christmas
- Chuck Cecil
- Chuck Niles -KBCA-FM-LA
- Contemporary Music
- Cousin Larry
- Current events
- Dick Zimmerman
- diet
- Disaster Survival
- Do It Yourself Learning
- Don Brown Jazz Man Record Shop and Cobweb Corner
- Dr. Kenneth Iverson
- Earthquakes
- Edward Hopper
- Eyesight
- False Equivalence
- Finding your own path in life
- Formal Eductation
- French Language
- Geography
- Geology
- Hearing
- Helen Borgers KLON-FM
- Higher Education
- Humor
- Instapundit
- K-12 Implosion
- Learning a Second Language
- Learning Math
- Learning the Piano
- Learning the trades
- Learning through Apprenticeship
- Living in the desert
- Maki and the Bolide
- Making a whole new thing
- Meteor strikes
- Mose Allison
- movies
- Old Music Made New
- Old Time Radio
- Painting
- Plate Tectonics
- Political Ideology
- Politics
- Post Apocalypse
- rational planned solutions
- Rationality versus Custom
- Rewriting History
- Ring of Fire
- Science and logical argument
- Second Langauge
- Self Education
- Spanish Language
- Swedish Language
- talented animals
- The Big Shut Up
- The Catrobat
- Tragedy
- Uncategorized
- Volcanoes
- Walter Gabrielson
- War
- Weather
- World War II

### Meta

# Category Archives: Do It Yourself Learning

## Children Learning on their own

On a happier note, this is an old story now, but I think it bears repeating. In this linked article from some years ago by Nicholas Negroponte, he writes about children in Ethiopia who were given tablet computers to … Continue reading

Posted in Do It Yourself Learning, Finding your own path in life, Instapundit, Making a whole new thing
Comments Off on Children Learning on their own

## Common Core Follies

The video of an Arkansas woman protesting Common Core math is blocked but it is amazing to me and it is only one of a great many out there on the follies of Common Core math. The woman is addressing … Continue reading

Posted in APL and J, Do It Yourself Learning, Learning Math
Comments Off on Common Core Follies

## Signed numbers, Negative numbers

Negative numbers create problems for many math learners, and really, for good reasons. We don’t really encounter negative numbers in real life that often. If we somehow bounce a check, buy something that declines in value, or suffer a loss … Continue reading

Posted in APL and J, Do It Yourself Learning, Dr. Kenneth Iverson, Learning Math
Comments Off on Signed numbers, Negative numbers

## Simple Division and Rational Numbers aka Fractions

Let’s return to simpler math for this post; middle school math to be exact. J has some unique features that make it an excellent tool for teaching division, fractions, and decimals. Most calculators and computer programs have historically made … Continue reading

Posted in APL and J, Do It Yourself Learning, Dr. Kenneth Iverson, Learning Math
Comments Off on Simple Division and Rational Numbers aka Fractions

## Much Simpler Matrix Operations. Addition, Subtraction, and Scalar Multiplication.

Multiplying a matrix by a scalar (a single number) is a much simpler matter than multiplying a matrix by a matrix. In the example below you just multiply each number in the matrix times 3: … Continue reading

Posted in APL and J, Do It Yourself Learning, Dr. Kenneth Iverson, Learning Math, Uncategorized
Comments Off on Much Simpler Matrix Operations. Addition, Subtraction, and Scalar Multiplication.

## Determinants – The 3×3 Matrix.

Once again, we’ll take a problem from Kelley’s Algebra pg. 122-123, Problem 6. This is a 3 x 3 Matrix, still a square matrix but the calculation of the determinants is not as straight forward as the 2 x 2 Matrix. Both … Continue reading

Posted in APL and J, Do It Yourself Learning, Dr. Kenneth Iverson, Learning Math, Uncategorized
Comments Off on Determinants – The 3×3 Matrix.

## Determinants – How to Calculate the Determinants for a 2×2 Matrix

In order to calculate the determinant for a matrix, it must be a square matrix, with equal rows and columns. The easiest square matrix to find the determinant is one that is 2×2. See Kelley’s Algebra pg. 121-122. Below, … Continue reading

Posted in APL and J, Do It Yourself Learning, Dr. Kenneth Iverson, Learning Math, Self Education
Comments Off on Determinants – How to Calculate the Determinants for a 2×2 Matrix

## Determinants in Matrix Algebra: Why are they important?

I had a difficult time making sense of this topic. Good mathematicians frequently have trouble teaching math—I’m guessing—because they have mastered the art of thinking in numbers but are unable to translate that into English. Or perhaps—I’m also guessing—a subject … Continue reading

Posted in APL and J, Do It Yourself Learning, Learning Math, Self Education
Comments Off on Determinants in Matrix Algebra: Why are they important?

## Matrix Multiplication Algebra

I wouldn’t wish pencil and paper matrix multiplication algebra on my worst enemy. Well, on second thought…… Anyway, Michael Kelley describes it as, “The trickiest thing you’ll need to do with matrices.” In Kelley’s Algebra, Chapter 9, pg 118-120, he … Continue reading

Posted in A Series about learning, APL and J, Do It Yourself Learning, Dr. Kenneth Iverson, Learning Math, Self Education
Comments Off on Matrix Multiplication Algebra

## Skip Cramer’s Rule and just do Helzer’s Matrix Divide in J

In the last post, we demonstrated the use of Cramer’s Rule as explained by Michael Kelley in Algebra Chapter 9. We saw that Cramer’s Rule works in J, but in this post and in a previous post using Matrix Divide … Continue reading

Posted in APL and J, Do It Yourself Learning, Dr. Kenneth Iverson, Self Education
Comments Off on Skip Cramer’s Rule and just do Helzer’s Matrix Divide in J