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Tag Archives: math class
Groupings, Shopping Lists, Vectors: part 13
In prior posts in this series we have seen two completely different kinds of applications for the idea of matrix multiplication: in part 11 we looked at pricing out an order, and in part 12 we looked at drawing a … Continue reading
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Tagged denominations, extending patterns, math class, matrix multiplication, models, naming, reverse engineering, whole vs. parts
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Groupings, Shopping Lists, Vectors: part 11
Let’s look some more at matrix multiplication, which we introduced in part 10 of this series. We showed three rectangular arrangements, and called each a matrix, and called one the product of the other two. (The accepted plural of matrix … Continue reading
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Tagged denominations, extending patterns, math class, matrix multiplication, models, naming, reverse engineering, whole vs. parts
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On Discoverability and Conventions
Chances are that if I asked you to add 1756678 and 99810023 together without using a calculator, you would have a way to accomplish that. This is already pretty interesting, if you think about it, in that it is likely … Continue reading
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Tagged discoverable, extending patterns, math class, models, naming, representations
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Groupings, Shopping Lists, Vectors: part 9
In earlier parts of this series we’ve looked at shopping lists as both an example and a model for something that in math class is called a vector. We’ve looked at the sum of two vectors by imagining you join … Continue reading
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Tagged denominations, extending patterns, math class, models, naming, representations, whole vs. parts
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Groupings, Shopping Lists, Vectors: part 7
In part 6 of this series, I introduced an operation called inner product between two vectors, as a way to find the total price of an order using a price list. In this post, I want to give a bunch … Continue reading
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Tagged denominations, lookup, math class, models, naming, representations, whole vs. parts
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Groupings, Shopping Lists, Vectors: part 5
In the previous post, I introduced vector addition in terms of combining two piles of stuff, while keeping track of what kind of stuff is in our piles, and how many of each of the stuff we’ve got. In this … Continue reading
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Tagged education, math class, models, representations, whole vs. parts
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Groupings, Shopping lists, Vectors: part 3
The previous installments in this series can be found here and here. What I am after is a natural way to develop the usefulness of the idea of a vector, and in the previous post I suggested that a shopping … Continue reading
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Tagged denominations, math class, models, naming, representations, whole vs. parts
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Groupings, Shopping Lists, Vectors: part 1
There is a surprisingly versatile part of mathematics that deals with groupings and collections of things. The main ideas involved are really quite easy and practical. If you can make sense of a shopping list written by a spouse or … Continue reading
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Tagged denominations, math class, models, naming, representations, whole vs. parts
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Representations – Processes and Snapshots
When we talk about representation in mathematics, it is surprising how often we limit ourselves to looking at formulas. Pictures, diagrams, graphs and tables are also part of how you can represent mathematical ideas and mathematical thinking. Most representations of … Continue reading
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Tagged extending patterns, math class, models, naming, representations
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