icon-based equations can provide multiple entry points into algebraic thinking
and formal algebraic notation.
Four components of a project (research, design, oral
presentation, and technical report) teach students to interact better with the
material and improve their technical communication skills.
Shortcomings in the traditional PEMDAS approach to teaching
the order of operations suggest a classroom-tested alternative, suitable for advanced
students, that conforms more closely to the intuitions of experienced
practitioners of mathematics.
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