Tag Archives: reverse engineering

Operators, Functions, and Properties – part 43

In the last several posts in this series, we’ve looked at cyclical patterns of behavior of numbers and operators.  For example, in the previous post we saw that when counting up, the last digit of a number consistently repeats after … Continue reading

Posted in Uncategorized | Tagged , , , , , | Leave a comment

Operators, Functions, and Properties – part 42

In this series, we’ve been looking at black boxes, where you put something in and something comes out.  From looking at its behavior, you can often propose a model for what is happening inside.  If you build the model, and … Continue reading

Posted in Uncategorized | Tagged , , , , , | 2 Comments

Operators, Functions, and Properties – part 40

In this series, we’ve spent considerable space playing with operators, which we’ve pictured as black boxes with inputs and outputs, often as part of a machine with state.  In more recent posts, e.g. this one , we’ve looked at operators … Continue reading

Posted in Uncategorized | Tagged , , , , , | 3 Comments

Operators, Functions, and Properties – part 37

In this series we’ve looked at boxes that take certain inputs and then produce an output.  We’ve called such boxes operators, and we’ve thought of them in many different ways.  In some cases, the boxes perform arithmetic; in other cases, … Continue reading

Posted in Uncategorized | Tagged , , , , , , , | Leave a comment

Operators, Functions, and Properties – part 34

In the previous post in this series, we looked at some operators that take in two numbers and produce some kind of pair of numbers, an ordered pair, in a way that can be reversed. Here’s another way to produce … Continue reading

Posted in Uncategorized | Tagged , , , , , , | 1 Comment

Operators, Functions, and Properties – part 33

In this series we have looked at various examples of operators, and most of our attention has been on operators where what comes out is a number, and what comes in is one or two numbers.  Some examples of two-numbers … Continue reading

Posted in Uncategorized | Tagged , , , , , , | 1 Comment

Operators, Functions, and Properties – part 32

In this series, we’ve been looking at a model for presenting and analyzing operators with an intention for it to have applications for students learning math in school.  In recent posts, we’ve looked for  interesting aspects of school math that … Continue reading

Posted in Uncategorized | Tagged , , , , , , | 1 Comment