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- Tally Marks and Roman Numerals
- General Purpose and Special Purpose Tools
- Notes on Representation - Tally Marks
- Notes on Representation - Large Numbers
- Math in the Comics - part 1
- Math in the Comics - part 2
- Notes on Deferred Computation - the Pythagorean Spiral
- Notes on Representation - Tally Marks Ho!
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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
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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
