Tag Archives: naming

Mathematical Notation and Schools – 4

Posted on 2011/06/10 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged education, math class, naming, notation | 4 Comments

Mathematical Notation and Schools – 2

Posted on 2011/05/28 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged education, math class, naming, notation, representations | 5 Comments

Mathematical Notation and Schools: The Series

Posted on 2011/05/25 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged education, math class, naming, notation, representations | 15 Comments

Mathematical Notation and Schools – 1

Posted on 2011/05/25 by Bert Speelpenning

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 →

Posted in Uncategorized | Tagged education, math class, naming, notation | 7 Comments

Operators, Functions, and Properties – part 39

Posted on 2011/01/07 by Bert Speelpenning

In this series, we’ve been looking at operators in various settings, and looked for ways to use them to shine a different colored light on some aspects school math. In the last four posts, we’ve explored the notions of equivalence … Continue reading →

Posted in Uncategorized | Tagged black box, denominations, equivalence, extending patterns, invariants, look-up, models, naming, recurrence relationship, representations | 1 Comment

Operators, Functions, and Properties – part 32

Posted on 2010/12/02 by Bert Speelpenning

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 denominations, extending patterns, invariants, models, naming, representations, reverse engineering | 1 Comment

Operators, Functions, and Properties – part 31

Posted on 2010/11/22 by Bert Speelpenning

In the prior post in this series, we looked at the kind of operators typically encountered in school (K-12), whether or not they are called operators. Many of them are single number input – single number output, but not all. … Continue reading →

Posted in Uncategorized | Tagged black box, equivalence, models, naming, reverse engineering, whole vs. parts | 1 Comment

Operators, Functions, and Properties – part 23

Posted on 2010/09/16 by Bert Speelpenning

In this series, we’ve been looking at operators as something that modifies the state of some machine or device, usually triggered by the pushing of a button. We’ve looked quite a bit at operators that operate on numbers, for example … Continue reading →

Posted in Uncategorized | Tagged black box, equivalence, extending patterns, invariants, models, naming, recurrence relationship, representations, reverse engineering, whole vs. parts | 2 Comments

Operators, Functions, and Properties – part 16

Posted on 2010/08/03 by Bert Speelpenning

In this series, we’ve been playing with operators in an attempt to make some models for an introduction to algebra that may fit modern kids’ ways of thinking better than some traditional models. A key entry point for us has … Continue reading →

Posted in Uncategorized | Tagged black box, deferred computation, denominations, extending patterns, models, naming, representations, reverse engineering | 1 Comment

Operators, Functions, and Properties – part 14

Posted on 2010/08/01 by Bert Speelpenning

In earlier parts of this series, we’ve looked at operators that take a number coming in, and produce a number coming out. We’ve looked at stringing these operators together in a chain, and we’ve looked at combinations of operators that … Continue reading →

Posted in Uncategorized | Tagged black box, deferred computation, denominations, extending patterns, models, naming, reverse engineering | 2 Comments