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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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