decreasingattimet5.5.Studentsshouldhaveevaluatedboththevelocityandtheacceleration functionsatt5.5;becausev5.50anda5.50,theparticle’sspeedisincreasing.Part(b) ()() askedfortheaveragevelocityoftheparticleduringthegiventimeinterval.Thiscanbecomputedasan
carried it had to wait nearly eighteen centuries until the use of algebraic symbols and techniques a standard part of mathematics. The elementary algebra that is familiar to most high-school students today was completely unknown in Archimedes’ time, and it would have been next to impossible to ...
When we use symbolic representations, there is a mediating role, the symbols providing a means through which we can perform mathematical actions, such as multiplying, equation- solving or graphing. As Moreno-Armella and Sriraman assert: Bcomputers have made feasible a new way of looking at ...
as with “Something isFand isG.” These are, respectively, thetautologous,inconsistent, andcontingentsentences of the predicate calculus. Certain tautologous sentence types may be selected as axioms or as the basis for rules for transforming the symbols of the various ...