How to Implement
the New Math Standards, Part IV
by Arlyne LeSchack
In this final article in the series, I will discuss
the performance indicators for The Process Strands within the
new Mathematics Standards. Performance indicators define exactly
what students should be able to do within each strand. |
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The first process strand is the
problem solving strand:
- build new mathematical knowledge through problem solving
- solve problems that arise in mathematics and other contexts
- apply and adapt a variety of appropriate strategies to solve
problems
- monitor and reflect on the process of mathematical problem
solving
The next process strand is the reasoning
and proof strand. Here students should be able to:
- recognize reasoning and proof as fundamental aspects of mathematics
- make and investigate mathematical conjectures
- develop and evaluate mathematical arguments and proofs
- select and use various types of reasoning and methods of proof
The third process strand is the communication strand.
Students should be able to:
- organize and consolidate their mathematical thinking through
communication
- communicate their mathematical thinking coherently and clearly
to peers, teachers, and others
- analyze and evaluate the mathematical thinking and strategies
of others
- use the language of mathematics to express mathematical ideas
precisely
The fourth process strand is the connections strand.
Students should be able to do the following:
- recognize and use connections among mathematical ideas
- understand how mathematical ideas interconnect and build on
one another to produce a coherent whole
- recognize and apply mathematics to contexts outside of mathematics
The fifth process strand is the representation strand.
Students should be able to:
- create and use representations to organize, record and communicate
mathematical ideas
- select, apply and translate among mathematical representations
to solve problems
- use representations to model and interpret physical, social,
and mathematical phenomena
Within in these four articles I have tried to explain the new New
York State Mathematical Standards.
In the meantime
if you have any questions about implementing the new mathematics
standards, please contact me at aleschack@aol.com.
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