Top Posts
-
Click here to be notified of new posts in this blog -
Recent Posts
- Mathematical Notations and Schools – 15
- Mathematical Notation and Schools – 14
- Mathematical Notation and Schools – 13
- Mathematical Notation and Schools – 12
- Mathematical Notation and Schools – 11
- Mathematical Notation and Schools – 10
- Mathematical Notation and Schools – 9
- Mathematical Notation and Schools – 8
- Mathematical Notations and Schools – 7
- Mathematical Notations and Schools – 6
- Mathematical Notation and Schools – 5
- Mathematical Notation and Schools – 4
- Mathematical Notation and Schools – 3
- Mathematical Notation and Schools – 2
- Mathematical Notation and Schools: The Series
Blogroll
- attribution black box deferred computation denominations discoverable education embedding equivalence extending patterns gauntlet graded hurdles invariants look-up math class math in the comics matrix multiplication models naming notation puzzle recurrence relationship representational proof representations reverse engineering selection series on math learning sieve sorting standing on nothing state unlearning whole vs. parts
Archives
- July 2011
- June 2011
- May 2011
- April 2011
- February 2011
- January 2011
- December 2010
- November 2010
- October 2010
- September 2010
- August 2010
- July 2010
- May 2010
- April 2010
- March 2010
- February 2010
- January 2010
- December 2009
- September 2009
- August 2009
- July 2009
- June 2009
- May 2009
- April 2009
- March 2009
- February 2009
- January 2009
- December 2008
Monthly Archives: September 2010
Operators, Functions, and Properties – part 26
In the previous post in this series, we linked two state machines together, weakly, by arranging to press their Start buttons at the same time and to press their Next buttons at the same time. As a result, we got … Continue reading
Posted in Uncategorized
Tagged black box, equivalence, extending patterns, models, recurrence relationship, representations, reverse engineering
2 Comments
Operators, Functions, and Properties – part 25
In this series, we’ve looked at operators in various ways. Recently, we’ve looked at state machines that invoke the same operator repeatedly, and generate a sequence of numbers in doing so. Conversely, sequences of numbers can often be modeled as … Continue reading
Posted in Uncategorized
Tagged black box, equivalence, extending patterns, invariants, recurrence relationship, representations
1 Comment
Operators, Functions, and Properties – part 24
In the previous post in this series, we started to model recurrence relationships with state machines: The idea is that we have a device with two buttons and a screen; after we press the Start button, we can press the … Continue reading
Operators, Functions, and Properties – part 23
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
Groupings, Shopping Lists, and Vectors: The Series
This is a series on vector algebra, but it hasn’t wrapped up yet. Here are the installments as of now: Quantity – Different Kinds of Numbers: Vectors – it really all started with this post. But I didn’t know it … Continue reading
Operators, Functions, and Properties – part 22
In this series, we’ve lately been modeling a four-function calculator as a state machine. A state machine moves from state to state based on operators that are invoked through button presses. Operators take their input, do something with it, and … Continue reading
Posted in Uncategorized
Tagged black box, equivalence, extending patterns, models, representations, reverse engineering
2 Comments
