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OCR for page 245
DISCUSSION SESSION 1
Sa tat rday, 11:00 a.m. - 12:30 pm
Content arc! Learning Issues
1. Read Marcy's Dots and find a
solution. How do you think students
might solve the problem? What errors
do you think they would make?
2. Examine the student solutions.
What observations can you make?
3. Does the problem address an
important mathematical concept?
What mathematical areas are involved?
Should these areas be in the middle
grades curriculum and where? What
mathematical knowledge would stu-
dents need to solve the problem? How
might that knowledge be built in
grades K-6? What follow-up activities
might be used to help students be
successful on such a problem? How
does this problem connect to math-
ematics after grade 8?
4. Read the draft section on algebra
for the middle grades from "Principles
and Standards for School Mathemat-
ics: Discussion Draft." What does
Marcy's Dots have to do with algebra
as content?
DISCUSSION SECTION WORKSHEETS
,`~.~.~.r ''in
DISCUSSION SESSION WORKSHEETS
DISCUSSION SESSION 2
Sa tat rday, 4:00 p.m. - 5:30 p.m.
Participant Sheet
Renect on the videos you saw in the
plenary session and the pane} discus-
sions that followed. Think about your
reactions, particularly in light of the
focus points for the session.
What are the important characteristics
of effective teaching in the mi(l(lle gra(les?
Of effective teaching of mathematics in
the middle grades?
How can instruction in middle grades
classrooms be organize(1 to maximize
learning? How can we tell when learn-
ing is happening?
What tools and strategies wait make a
ifference in how mi(l(lle gra(les stu-
ents learn mathematics?
Observations:
DISCUSSION SESSION 3
Sat n day, 10:30 a.m. - 11:30 a.m.
Participant Sheet
Certain issues are associate(1 with
teaching and learning mathematics in
OCR for page 246
the middle grades. These issues range
from how teachers are prepared to what
students do in the classroom to what the
system and community expects math-
ematics to look like in those grades.
As a group, what statements can you
make about each of the following
issues? You might think in terms of:
· 3 areas of agreement
· 3 challenges/issues needing more
work.
Content arc! learning
mathematics in the micIcIle
gracIes
In particular, as you think about the
issues surrounding content and learn-
ing, some of the points that might frame
· ~
your discussion are:
APPE N DIX 5
1. the role of number, specifically
rational numbers
2. algebra anti linearity as a major
element in the middle grades
3. integration of mathematics con-
tent with other (liscipline areas
4. focusing the mathematics content
without eliminating important math-
ematics for middle grades students
Teaching in micIcIle gracIes
In particular, what can you say about
successful teaching in the mi(l(lle
grades and about successful teaching of
mathematics. Some of the points you
might think about are teaching
5. for thoughtful engagement and
learning with un(lerstan(ling
6. competence without acceleration
an(1 specialization
7. mathematics to young adolescents
8. preparation and certification for
mi(l(lle gra(les mathematics teachers
Representative terms from entire chapter:
discussion session
