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Taylor, Wendy; Stacey, Kaye – Australian Mathematics Teacher, 2014
This article presents "The Two Children Problem," published by Martin Gardner, who wrote a famous and widely-read math puzzle column in the magazine "Scientific American," and a problem presented by puzzler Gary Foshee. This paper explains the paradox of Problems 2 and 3 and many other variations of the theme. Then the authors…
Descriptors: Mathematics Instruction, Problem Solving, Probability, Mathematical Concepts
Warren, Elizabeth – International Group for the Psychology of Mathematics Education, 2004
The teaching and learning in algebra has been much debated. Traditionally early algebra has relied heavily on arithmetic. Recently our focus has changed to teaching algebraic thinking with arithmetic thinking. This paper explores the models that assist young students generalise the patterns of arithmetic compensation. A teaching experiment was…
Descriptors: Mathematics Instruction, Teaching Methods, Arithmetic, Algebra