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Monthly Archives: June 2011
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
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Tagged education, math class, naming, notation, recurrence relationship, representations
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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
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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
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 – 3
Notations for Sequencing and Nesting (Parentheses) In this series, I’m exploring mathematical notation as it is used in schools, and how these notations help or hinder students’ understanding of mathematics. In the first installment of this series, I spoke positively … Continue reading
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