Towards Deep Understanding Of Elementary School Mathematics: A Brief Companion For Teacher Educators And Others
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A01=Sergei Abramovich
Addition Table
Additive Decomposition of Integers
Author_Sergei Abramovich
Category=JNLC
Category=JNU
Category=PB
Category=YPMF
Coin Tossing
Combinations
Conceptual Knowledge
Conceptual Shortcut
Die Rolling
Egyptian Fractions
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Equivalence
Experimental Probability
Fibonacci Numbers
Geoboard
Geometer's Sketchpad
Histogram
Informal Geometry
Invariance
Line Plot
Long Division
Mathematics
Mathematics Education
Mean
Median
Metacognition
Misconceptions
Mode
Multiplication Table
Number Line
Order of Operations
Pascal's Triangle
Patterns
Percent
Permutations
Pick's Formula
Problem Posing
Problem Solving
Procedural Knowledge
Pythagorean Triples
Ratio
Sample Space
Spreadsheets
Stem And Leaf Plot
Teacher Education
Technology
Tessellation
The Rule of Product
The Rule of Sum
Theoretical Probability
Tree Diagram
Trial and Error
Unit Fractions
Visualization
Wolfram Alpha
Product details
- ISBN 9789819824465
- Publication Date: 15 Jul 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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The book is intended to serve as a brief companion for mathematical educators of elementary teacher candidates who learn mathematics within a college of education both at the undergraduate and graduate levels. Being informed by mathematics teaching and learning standards of the United States, Australia, Canada, Chile, England, Japan, Korea, Singapore, and South Africa, the book can be used internationally.The teaching methods emphasize the power of visualization, the use of physical materials, and support of computer technology including spreadsheet, Wolfram Alpha, and the Geometer's Sketchpad.The basic ideas include the development of the concepts of number, base-ten system, problem solving and posing, the emergence of fractions in the context of simple real-life activities requiring the extension of whole number arithmetic, decimals, percent, ratio, geoboard geometry, elements of combinatorics, probability and data analysis.The book includes historical aspects of elementary school mathematics. For example, readers would be interested to know that two-sided counters stem from the binary system with its genesis in the 1st millennium BC China of which Leibnitz (17th century) was one of the first notable proponents. The genesis of the base-ten arithmetic is in the Egyptian mathematics of the 4th millennium BC, enriched with the positional notation with the advent of Hindu-Arabic numerals in the 12th century Europe.
