Category Archives: PCK dependence on math foundations

Fractions first then definition of length

Suppose we have defined fractions algebraically and worked out their rules including for adding fractions with different denominators.  Now we are ready to apply this algebraic construct to length.   We consider a function from point sets on the fraction number … Continue reading

Posted in Confusing area and rational numbers, Confusing length and rational numbers, Number classes, Object Oriented Rational Number, PCK dependence on math foundations | Leave a comment

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