Category Archives: Conceptual v Procedural

Euler’s Elements of Algebra Gaps in Logic

http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ElementsAlgebra.html Paragraph 19 is where Euler defines the natural numbers as adding one starting from zero. http://web.mat.bham.ac.uk/C.J.Sangwin/euler/ElementsAlgebra.html#tth_sEc1.1 19.   In the same manner, therefore, as positive numbers are incontestably greater than nothing, negative numbers are less than nothing. Now, we obtain positive … Continue reading

Posted in Conceptual v Procedural, Confusing area and rational numbers, Euler 1765 Elements of Algebra, Euler's Fallacies, Euler's Lies | Leave a comment

#mtt2k 2012 math wars procedural v conceptual v object oriented

In programming languages like C++, a class or object has its own data and procedures or methods that use its own data. Natural numbers, signed integers as a sign and a natural number, rational numbers as a pair of signed … Continue reading

Posted in #mtt2k Khan Academy Videos Procedural v Conceptual, Conceptual v Procedural, Confusing area and rational numbers, Khan Academy, Leonhard Euler, Number classes, Object oriented concepts, Procedural Mathematicians, Rational Numbers, Uncategorized | Leave a comment

#mtt2k Khan Academy Poor procedural lessons can hinder learning study?

The mtt2k discussion started by math professors John Golden and David Coffey has found many videos by Khan Academy that are poorly done.  This goes beyond just errors to sloppiness and fuzziness in the lessons themselves.  The KA videos are … Continue reading

Posted in #mtt2k Khan Academy Videos Procedural v Conceptual, Conceptual v Procedural, Khan Academy, Khan Academy Charges, MTT2k Prize | 4 Comments

#mtt2k Khan Academy videos procedural v conceptual repeated addition

This is a continuation of the discussion of procedural v conceptual in the context of Khan Academy videos. It also brings in the Keith Devlin initiated debate on multiplication as repeated addition for natural numbers as opposed to an operation … Continue reading

Posted in #mtt2k Khan Academy Videos Procedural v Conceptual, Conceptual v Procedural, Conceptual v Procedural videos, It Ain't No Repeated Addition, Keith Devlin Stanford, Let's Play Math, MTT2k, Procedural Levelism, Procedural Mathematics, Recursive Mathematics, Sphaghetti Proceduralism, Uncategorized | 2 Comments

#MTT2k Khan Videos Conceptual v. Procedural

Readers are invited to comment on their answers to the following questions. Are Khan videos procedural but not conceptual? All videos are procedural? All videos are non-conceptual? Khan videos are non-conceptual? Is procedural non-conceptual? Is conceptual non-procedural? A concept is … Continue reading

Posted in Conceptual v Procedural, Conceptual v Procedural videos, Khan Academy, MTT2k, MTT2k Prize, Mystery Teacher Theatre 2000, Uncategorized | 9 Comments