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David Srebnick's avatar

I am a middle school math teacher. I think that it is important for students at this level to do math on paper, possibly with the assistance of a scientific (but not graphing) calculator. When students use online tools that give problems and ask students to input answers, they often try to do all problems in their heads without writing very much down. I feel like if they are not used to showing work for the simple problems they won't develop the skill to show work for harder problems.

I think that graphing equations (with relatively simple numbers) by hand on paper is an aid to learning and helps (at least some students) make connections between equations and graphs that they would not make if they worked exclusively with automated graphing tools

Having said that, DeltaMath was useful for teaching skills when students were at different levels of expertise. It turned out to be a good way of differentiating.

I also think that being able to solve and rewrite equations by hand is important even when using automated tools like Mathematica or Matlab. There have been times where I've solved a problem by hand, then used Mathematica, and the answer that Mathematica gives is in a different form. I sometimes needed to do some work by hand to convince myself that the soutions were equivalent.

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