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Teacher learning needs addressed
When presented as a purposeful, active
and social process of meaning-making, gathering and learning
from information has the potential to address many of the
teacher learning needs we identified in Chapter 1. Of course,
the content and source of the information, and even more
importantly, how it is used, determine the extent to which
specific teacher learning needs can be addressed in any
implementation of this kind of professional development
experience:
Developing a vision and commitment to school
mathematics reform. Developing a
vision and commitment to school mathematics reform requires an
understanding and appreciation of what such reform calls for
and its rationale. Therefore, readings and presentations that
explain each recommendation for mathematics reform and that
review research supporting these recommendations can address
this teacher learning need. When teachers also have concrete
opportunities to draw implications from this information for
their own practice, the benefit is even greater. Videos and
stories of reform-oriented mathematics classrooms can also
provide images of what reform is really about. Hearing the
success stories of more experienced teachers may also motivate
some teachers to attempt instructional innovation in their own
classes.
Strengthening one’s knowledge of
mathematics. While reading
mathematics texts should not be the primary vehicle for
teachers to learn new mathematics, this mode of learning has
valuable potential if approached correctly. It should, for
example, occurs in combination with, not as an alternative to,
other experiences. For example, videos or multi-media materials
that take advantage of computer animation can help teachers
visualize and thus grasp specific mathematical concepts more
clearly. Also, by reading mathematical essays on key
mathematical ideas (as those used in the inquiry on the
geometry curriculum reported in Illustration 9) or on the
history and philosophy of mathematics, teachers can learn not
only new mathematical content, but perhaps more importantly,
begin to rethink their beliefs about the discipline of
mathematics.
Understanding the pedagogical theories that
underlie school mathematics reform.
To understand the theories of learning and teaching that inform
school mathematics reform, teachers need readings and
presentations that explain and critically examine these
theories. The effectiveness of this kind of information,
however, depends to a great extent on the experiences organized
to help teachers make sense of this information. For example,
teachers are likely to perceive the information as more
relevant if it is connected to experiences-as-learners or
videos of mathematics lessons that exemplify some of the same
or principles of learning and teaching.
Understanding students’ mathematical
thinking. Reading research on
students’ thinking about specific mathematical topics can
aid teachers in making sense of their own students’ work.
Again, however, these readings are most effective when they are
explicitly connected to other professional development
activities, such as analyzing student work around the same
mathematical topics addressed in the readings. In addition, by
conducting their own action research studies, teachers can
enhance their understanding of the results in other studies, or
they can even contribute new results in less-researched topics.
Conducting such studies also helps teachers develop their
skills in listening to students and interpreting their work.
Learning to use effective teaching and
assessment strategies. Readings
and presentations alone are not likely to help teachers teach
more effectively. However, watching video excerpts of other
teachers modeling innovative practices can be quite powerful in
helping teachers understand what they need to do. Action
research in which teachers monitor and evaluate their own
practice can also help teachers as they begin to try out new
teaching and assessment practices in their classrooms.
Becoming familiar with exemplary instructional
materials and resources. Exemplary
instructional materials have the potential to greatly support
teachers in implementing high quality instructional innovation
in their classes, but only if teachers know what is in them and
how they can find that information. Because most of these
resources provide much more information than traditional
textbooks and have a non-linear structure, teachers need
guidance in using the materials effectively at the beginning.
Presentations about the origin and structure of the exemplary
materials, followed by modeling of how to navigate them, may be
very helpful for teachers as they are first introduced to these
materials. Reading from and about the exemplary materials is essential for
becoming acquainted with these resources. In addition, to
understand what the materials require of students, teachers
often have to do the mathematical tasks themselves first.
Understanding equity issues and their
implications for the classroom.
Readings and presentations about issues of diversity and equity
can be valuable catalysts for discussing what it means to teach
all students equally. Action research may be an
even better way to meet this teaching learning need, as
Illustration 10 shows. By researching their own practice,
teachers can become aware of their own biases and prejudices,
investigate the impact and implications of equity issues in
their own classrooms and schools, and monitor their efforts
toward more equitable teaching.
Coping with the emotional aspects of engaging in
instructional innovation. Stories
of other teachers engaged in reform may help teachers headed in
that direction to recognize in advance emotions they are also
likely to experience. This kind of information can help
teachers set realistic expectations and perhaps even suggest
strategies to deal with the inevitable “emotional
roller-coaster” that accompanies most first attempts at
instructional innovation. An even more powerful variation on
this type of professional development activity is hearing
directly from teachers they know and being able to converse
with them.
Developing an attitude of inquiry toward
one’s practice. Engaging in
any form of action research can contribute very effectively to
addressing this teacher learning need. By definition, action
research means that teachers systematically inquire about
specific aspects of the teaching and learning of mathematics in
their own classrooms.
Summary
Our analysis of information gathering and
interpretation as a type of professional development activity
confirms the value of more “traditional”
professional development experiences, such as reading articles
and hearing presentations, for teachers involved in school
mathematics reform. As we stress in this chapter, however,
these experiences need to be purposeful, engage teachers
actively, and provide opportunities to share and discuss
information with others. They should be combined with other
activities that encourage teachers to use information to draw
personal implications for their own beliefs and practices.
Various forms of data collection and analysis, and action
research in particular, can also enable teachers to gain
valuable and relevant knowledge and skills that help them
become reflective practitioners and life-long learners.
Suggested follow-up resources
With a notable exception in the case of
action-research, there are few published materials to support
teacher educators in designing and orchestrating professional
development experiences within this category – perhaps
because gathering and making sense of information is often not
even considered as a professional development strategy for
which materials, or even guidance, is needed. For teacher
educators interested in promoting and supporting action
research we recommend the following resources, which describe
methods and approaches to conduct sound action research in
educational settings:
Calhoun, E.F. (1993). Action research:
Three approaches. Educational
Leadership 51 (2), 62-65.
Sagor, R. (1992). How to conduct collaborative action research. Alexandria, VA: Association for Supervision
and Curriculum Development.
Loucks-Horsley, S., Harding, C.K.,
Arbuckle, M.A., Murray, L.B., Dubea, C., and Williams, M.K.
(1987). Continuing to
learn: A guidebook for teacher development. Oxford, OH: National Staff Development Council.
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