About the Workshops
- Click on the links below for videos and transcripts.
1 Following Children's Ideas in Mathematics
An unprecedented long-term study conducted by researchers
at Rutgers University followed the development of mathematical
thinking in a randomly selected group of students for 12 years from 1st grade through high school with surprising results.
In an overview of the study, we look at some of the conditions
that made their math achievement possible.
2 Are You Convinced?
Proof making is one of the key ideas in mathematics. Looking
at teachers and students grappling with the same problem,
we see how two kinds of proof proof by cases and proof by
induction naturally grow out of the need to justify and
3 Inventing Notations
We learn how to foster and appreciate students' notations
for their richness and creativity, and we look at some of
the possibilities that early work on problems that engage
students in creating notation systems might open up for students
as they move on toward algebra.
4 Thinking Like a Mathematician
What does a mathematician do? What does it mean to "think
like a mathematician"? This program parallels what a mathematician
does in real-life with the creative thinking of students.
5 – Building on Useful Ideas
- One of the strands of the Rutgers long-term study
was to find out how useful ideas spread through a community
of learners and evolve over time. Here, the focus is on
the teacher's role in fostering thoughtful mathematics.
6 Possibilities of Real Life Problems
Students come up with a surprising array of strategies and
representations to build their understanding of a real-life
calculus problem before they have ever taken calculus.
- Workshop 7 Next Steps (required for those seeking
Participants will review key ideas presented during the workshops
and will consider implications for their own teaching.
Note: There is no video component for
Next > Structure