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Tag Archives: education
Mathematical Notation and Schools – 5
The Overloaded Equals Sign: Equivalence In this series about mathematical notation and its impact on the learning of mathematics, the previous post started to look at the overloading of the equals sign – so many different meanings and uses cramped … Continue reading
Mathematical Notation and Schools – 4
The Overloaded Equals Sign: “Do This Now” In this series about mathematical notation and its impact on the learning of mathematics, we’ve looked so far at the raised minus sign for negative numbers, the various ways of denoting multiplication, and … Continue reading
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 the “-” in 10 – … Continue reading
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 of standard mathematical notation, with an … Continue reading
Mathematical Notation and Schools – 1
Notations for negative numbers This blog entry marks the start of a series about mathematical notation and its uses in school. I intend to look in detail at aspects of the standard mathematical notations, and how these help or hinder … Continue reading
First, Do No Harm
Wouldn’t that be a great stricture for Math Education to adopt, just like medical professionals do? Whatever else you do, make sure you do no harm. You’d think that this would represent a really low standard of math education: that … Continue reading
The Whole and the Parts – The Series
I’ve written a number of posts where the main theme is a whole that is more than just the sum of the parts. Whenever you have a whole, it is worth looking to see if the nature and the behavior … Continue reading
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Tagged education, models, naming, reverse engineering, whole vs. parts
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Math in the Comics: The Series
In this series, I have collected comic strips that reveal, whether intentionally or unintentionally, something interesting about how our culture views mathematics and mathematics learning. Here are the entries thus far: 1 – a Foxtrot comic on solving equations. For … Continue reading
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Tagged education, math in the comics, series on math learning
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Groupings, Shopping Lists, Vectors: part 17
In this post I will show a full-fledged matrix multiplication done in a spreadsheet, Excel. (This series starts here; two recent posts part 15 and part 16 introduce vector inner products done in Excel.) Above you see one approach, though … Continue reading
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Tagged education, extending patterns, matrix multiplication, models, naming, representations, whole vs. parts
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Groupings, Shopping Lists, Vectors: part 5
In the previous post, I introduced vector addition in terms of combining two piles of stuff, while keeping track of what kind of stuff is in our piles, and how many of each of the stuff we’ve got. In this … Continue reading
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Tagged education, math class, models, representations, whole vs. parts
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Learning and Unlearning Math 