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. 

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.
