Teaching Fractions Through Situations: A Fundamental Experiment (mathematics Education Library)
by Guy Brousseau /
2013 / English / PDF
3.2 MB Download
This work presents one of the original and fundamental experiments
of Didactique, a research program whose underlying tenet is that
Mathematics Education research should be solidly based on
scientific observation. Here the observations are of a series of
adventures that were astonishing for both the students and the
teachers: the reinvention of fractions and of decimal numbers in a
sequence of lessons and situations that permitted the students to
construct the concepts for themselves. The book leads the reader
through the highlights of the sequence's structure and some of the
reasoning behind the lesson choices. It then presents explanations
of some of the principal concepts of the Theory of Situations. In
the process, it offers the reader the opportunity to join a lively
set of fifth graders as they experience a particularly attractive
set of lessons and master a topic that baffles many of their
contemporaries.
This work presents one of the original and fundamental experiments
of Didactique, a research program whose underlying tenet is that
Mathematics Education research should be solidly based on
scientific observation. Here the observations are of a series of
adventures that were astonishing for both the students and the
teachers: the reinvention of fractions and of decimal numbers in a
sequence of lessons and situations that permitted the students to
construct the concepts for themselves. The book leads the reader
through the highlights of the sequence's structure and some of the
reasoning behind the lesson choices. It then presents explanations
of some of the principal concepts of the Theory of Situations. In
the process, it offers the reader the opportunity to join a lively
set of fifth graders as they experience a particularly attractive
set of lessons and master a topic that baffles many of their
contemporaries.