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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...

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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...

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Mathematical Notation and Schools: The Series

Here’s a summary of the series (thus far) of posts on mathematical notation, with links. This allows you to read them in order, from oldest to most recent. In this series, I’m investigating variations...

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Mathematical Notation and Schools – 2

Notations For Multiplication In the first part of this series, I looked at the practice in American schools to use a raised minus sign for negative numbers: e.g. ⁻7 for negative seven, in contrast to...

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Mathematical Notation and Schools – 9

Expressions and Formulas: Standard Notation In this series, I’ve been exploring issues of mathematical notation and their impact on student learning in school.  In the last installment I veered a bit...

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Mathematical Notation and Schools – 11

Expressions and Formulas: A Larger Deviation from the Standard Notation In this series, we’ve done a review of mathematical notation, with an eye on how each notation helps or hinders student learning....

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Mathematical Notation and Schools – 12

Functions:  Standard Notation and Schools In this series, we’ve done a review of mathematical notation, with an eye on how each notation helps or hinders student learning.  The focus here is modest: on...

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Mathematical Notation and Schools – 13

Functions:  Standard Notation and Schools, Continued In this series, we’ve done a review of mathematical notation, with an eye on how each notation helps or hinders student learning. In the previous...

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Mathematical Notation and Schools – 14

Functions:  Variant Notations In this series, we’ve done a review of mathematical notation, with an eye on how each notation helps or hinders student learning. In the prior posts, we started to explore...

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Mathematical Notations and Schools – 15

“Scientific Notation” – Variants on the Standard In this series, we’ve done a review of mathematical notation, with an eye on how each notation helps or hinders student learning. In the prior posts, we...

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