Top Posts
-
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
Author Archives: Bert Speelpenning
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 started to explore function notation, and … Continue reading
Posted in Uncategorized
Tagged education, extending patterns, math class, notation, representations
1 Comment
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 function notation, which in middle school and … Continue reading
Posted in Uncategorized
Tagged black box, deferred computation, denominations, education, equivalence, math class, models, naming, notation, representations
Leave a comment
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 post, we started to explore function notation, which in … Continue reading
Posted in Uncategorized
Tagged black box, education, equivalence, math class, naming, notation, recurrence relationship, representations
2 Comments
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 what teachers can do, even if their … Continue reading
Posted in Uncategorized
Tagged education, math class, naming, notation, recurrence relationship, representations
1 Comment
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. The focus here is modest: on what teachers … Continue reading
Posted in Uncategorized
Tagged education, equivalence, math class, naming, notation, representations
Leave a comment
Mathematical Notation and Schools – 10
Expressions and Formulas: Slight Variations 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. The focus here is on what teachers can do, even … Continue reading
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 from the straight path and showed a way to … Continue reading
Mathematical Notation and Schools – 8
Subtraction: The Dot For “Borrowing” Can Also Denote Negative Numbers In this series, I’m looking at the impact of mathematical notation on student understanding and student learning. In the previous installment, I looked at a notation for “long subtraction” different … Continue reading
Mathematical Notations and Schools – 7
Subtraction: The Dot For “Borrowing” In this series, I’ve been exploring notational issues and their impact on student learning. So far, I’ve been hesitating dealing with the standard subtraction algorithm as taught in the USA for two reasons: 1. I’m … Continue reading
Mathematical Notations and Schools – 6
The Overloaded Equals Sign: Solving Equations and Checking Solutions In this series about mathematical notation and its impact on the learning of mathematics, the previous post looked at the use of the “=” sign to indicate equivalence or identity, and … Continue reading