(added bottleneck about derivative and proportionality) |
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{{DISPLAYTITLE:DecodingWork:From Derivative to Proportionality}} | |||
===Description of Bottleneck=== | ===Description of Bottleneck=== | ||
Students have difficulties to use derivative to calculate the change of function value. They believe the derivative is a magic transformation of one formula into another, e.g. x^2 into 2 | Students have difficulties to use derivative to calculate the change of function value. They believe the derivative is a magic transformation of one formula into another, e.g. <math>x^2</math> into <math>2 \cdot x</math>. They do not have an idea of "derivative=slope" and "change of function value=slope*change of argument" | ||
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===People interested in this Bottleneck=== | ===People interested in this Bottleneck=== | ||
Inna Mikhailova | |||
[[Category:Bottleneck]] | [[Category:Bottleneck]] | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
[[Category:Calculus]] | |||
Revision as of 20:57, 21 July 2024
Description of Bottleneck
Students have difficulties to use derivative to calculate the change of function value. They believe the derivative is a magic transformation of one formula into another, e.g. <math>x^2</math> into <math>2 \cdot x</math>. They do not have an idea of "derivative=slope" and "change of function value=slope*change of argument"
Desired learning outcome: given that f(1)=2 and f'(1)=3 the students should be able to make an estimation of f(1,01) as f(1)+f'(1)*0,01=2.003
People interested in this Bottleneck
Inna Mikhailova
