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Title: Between Arithmetic and Algebra
Url: http://www.maa.org/editorial/knot/between.html
Creator: Bogomolny, Alexander
Publisher: Mathematical Association of America
Description: What is the difference between the arithmetic 3+5 = 5+3 and the algebraic a+b = b+c? One is a specific fact, another is a pattern valid in a multitude of situations. While arithmetic may hint at some regularities, algebra, as a language, gives expression to acknowledgement of patterns as such. How did people express general ideas before the advent of algebra in the 15th-17th centuries? A discussion of patterns and number systems with a Java applet showing Addition and Multiplication Tables in Various Bases. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right answer to an as yet unstated problem should be easy to surmise. Also at http://www.cut-the-knot.com/ctk/between.html.
LC Classification: Science -- Mathematics -- Algebra -- Special topics, A-Z -- Electronic data processing
Science -- Mathematics -- Elementary mathematics. Arithmetic
Science -- Mathematics -- Elementary mathematics. Arithmetic -- Algebra and arithmetic
Science -- Mathematics -- Elementary mathematics. Arithmetic -- Numeration, number concept, numeration systems -- History
Science -- Mathematics -- Elementary mathematics. Arithmetic -- Numeration, number concept, numeration systems -- Number concept (Elementary)
Science -- Mathematics -- Elementary mathematics. Arithmetic -- Study and teaching
Science -- Mathematics -- Elementary mathematics. Arithmetic -- Study and teaching -- Problems, exercises, examinations
Science -- Mathematics -- Tables -- Multiplication tables
GEM Subject: Mathematics
Mathematics -- Technology
Mathematics -- Instructional issues
Mathematics -- Algebra
Mathematics -- Arithmetic
Key Concept: Mathematics -- Algebra
Key Concepts Complete: Yes
Date Issued: 1998-01
Resource Type: Auto-Instructional Aids
Instructional Materials
InteractiveResource (DCMI Type Vocabulary)
Mathematics Materials
Overviews
Tables (Data)
Text (DCMI Type Vocabulary)
Format: html
java
Audience: Higher Education
Secondary Education
Students
Teachers
Technical School First Cycle
Technical School Second Cycle
University First Cycle
Language: English
Rights: Alexander Bogomolny
Access Rights: Free access
Subject: Basic Operations
Number Theory
Patterns/Relationships
Date Of Record Release: 2007-12-31 03:00:01 (W3C-DTF)
Date Last Modified: 2013-06-11 15:02:30 (W3C-DTF)
Source: Math Forum
Full Record Views: 134
Resource URL Clicks: 18
Cumulative Rating: NOT YET RATED
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