Abstract

Is algebraic manipulation important for students' mathematical understanding? Will students be crippled in subsequent, more advanced courses in mathematics and science if most, or all, algebraic manipulation is removed from high school algebra courses? Champions of the full and unrestricted use of computers and calculators to do algebraic manipulation (e.g., MuMath, Macsyma, HP 28C) argue for a substantial reduction of the time spent teaching algebra manipulation. They would use this time to teach new, modern numerical topics and techniques that foreshadow the study of statistics and computer science. But is the old mathematics bad mathematics? Many conservative mathematicians and mathematics educators argue for the status quo. But have we no way to improve on the old mathematics with new technology? Is it fair to keep students in the dark about modern developments in the field of mathematics.

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