Category Archives: Pre-Service Teacher Math Education

Simple Natural Number Geometric Measure Length

The number first geometric measure second approach is discussed here in terms of natural numbers.  We consider the case of length first. We are dealing only with natural numbers. No fractions and no signs.  We have a number line with … Continue reading

Posted in Jennifer Asmuth, Lance Rips, Length for Pre-Service Teachers, Length of Natural Number Point Sets, Math Ed Psychology, Natural Number Point Sets, Number classes, Object oriented concepts, PCK dependence on math foundations, Pedagogical Content Knowledge, Pre-Service Teacher Math Education, Uncategorized | Leave a comment

re: Alexandre Borovik Why is arithmetic difficult?

Math professor Alexandre Borovik has a post on understanding why arithmetic is difficult to learn.  It is because it has a greater conceptual structure than is realized.  He points out this complexity goes from hidden to explicit by use of … Continue reading

Posted in Addition Proofs, Alexandre Borovik, Christian Spannagel, Folge der natürlichen Zahlen, Peano Axioms for Pre-Service Teachers, PH-Heidelberg Teacher Education Math, Pre-Service Teacher Math Education, Proof and Works | Leave a comment