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### Recent Posts

- Chet Atkins and Merle Travis– I’ll See You In My Dreams — 1974
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# Category Archives: Learning Math

## David McCullough’s The Wright Brothers

I’ve done my share of reviewing of books and music on Amazon’s site, but I’ve been giving more attention lately to my site. I’ve also been busy writing my own book. This book was a gift, so I’ll give it … Continue reading

Posted in A Journey back in time, A Series about learning, Bring back the shop classes, Do It Yourself Learning, Finding your own path in life, Learning Math, Learning the trades
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## Polynomials

I have concluded after trying to make sense of how this topic is taught in Algebra classes, that it should be a separate subject like Trig or Geometry. Instead, I get the impression not only from W. Michael Kelley’s books, … Continue reading

Posted in Do It Yourself Learning, Learning Math
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## Further thoughts on Photomath

In a previous post, I linked to a video on Photomath, the ipod Algebra app. I also posted the above picture showing an equation and its solution. I have some further thoughts about Photomath after I took the … Continue reading

Posted in Do It Yourself Learning, Learning Math
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## Photomath

I haven’t been blogging as regularly as I would like and there is no one reason (or excuse.) I’m working on another book and when the story calls, I answer because otherwise I lose it. The only reason I’ve gotten … Continue reading

Posted in Learning Math
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## 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
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## 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
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## 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
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## 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
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## 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
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## 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
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