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Topic: Announcement: Discussion Group at PME
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Jerry P. Becker

Posts: 13,471
Registered: 12/3/04
Announcement: Discussion Group at PME
Posted: Jun 29, 2014 4:31 PM
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DG_Bofferding.doc (45.5 K)
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Sent at the request of Nicole Enzinger.
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NEGATIVE NUMBERS: BRIDGING CONTEXTS AND SYMBOLS

Laura Bofferding - Purdue University
Nicole Wessman-Enzinger - Illinois State University
Aurora Gallardo & Graciela Salinas - Cinvestav
Irit Peled - University of Haifa

At the latest PME-NA (35), a working group met on the topic of
negative numbers. Groups presented on their research within one or
more categories related to negative integers: role of contexts,
models, historical development, algebra, student understanding, and
teacher knowledge (Lamb et al., 2013). We began a productive
discussion on issues related to each of these categories and would
like to broaden the discussion with the inclusion of members from the
international community. Further we aim to develop research
collaborations around mutual areas of interest.

SESSION 1

During session 1, after introductions, Dr. Laura Bofferding and
Nicole Wessman-Enzinger will present a summary of negative number
research from past PME and PME-NA proceedings, highlighting common
themes, any areas of discrepancy, and theoretical frameworks that
underlie the different research paradigms. Participants will discuss
additional frameworks that support their research around negative
numbers to add to a research categorization document that was started
during an initial working group at PME-NA 35. Participants will
explore the intersection of the categories, in particular how
research on contexts versus symbolic-only problems can inform each
other, and identify gaps in the research.

SESSION 2

During session 2, we will present a summary of the discussion from
the previous day. We will have two presentations focused on the
different uses and conceptions of negatives from Dr. Irit Peled and
Dr. Aurora Gallardo, followed by discussion. Then we will break up
into groups (depending on the interests of the group) to discuss
future research directions and begin preliminary plans for
collaboration. Potential foci could be on exploring the use of the
difference meaning of subtraction, symbolic understanding, RME
models, and contexts to support negative number understanding.
Groups will share out their areas of interest and initial research
ideas to allow others in the group to have the opportunity to join
the collaborations.

Reference
Lamb, L., Bishop, J., Philipp, R., Whitacre, I., Stephan, M.,
Bofferding, L, and others. (2013). Building on the emerging knowledge
base for teaching and learning in relation to integers. In M.
Martinez & A. Castro Superfine (Eds.), Proceedings of the 35th annual
meeting of the North American Chapter of the International Group for
the Psychology of Mathematics Education (pp. 1358-1366). Chicago, IL:
University of Illinois at Chicago.

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