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Mathematics
Goals
Spring Branch's goals for students of mathematics
K-12 are similar to those of the National Council of Teachers
of Mathematics as stated in the Curriculum and Evaluation
Standards for School Mathematics (March 1989). The intent
of these goals is that students will become mathematically
literate. This term denotes an individual's ability to explore,
to conjecture, and to reason logically, as well as to master
a variety of mathematical methods and use them effectively
to solve problems. By becoming literate, their mathematical
power should develop. Our goals are for student to:
- LEARN TO VALUE MATHEMATICS.
Students should have numerous and varied experiences related to the
cultural, historical, and scientific evolution of mathematics so
that they can appreciate the role of mathematics in the development
of our society and explore mathematics and the disciplines it serves:
the physical and life sciences, the social sciences, and the humanities.
- BECOME CONFIDENT IN ONE'S OWN ABILITY.
As a result of studying mathematics, students need to view themselves
as capable of using their growing mathematical power to make sense
of new problem situations in the world around them. We must endow
all students with a realization that doing mathematics is a common
human activity. Having numerous and varied experiences allows students
to trust their own mathematical thinking.
- BECOME A MATHEMATICAL PROBLEM SOLVER.
The development of each student's ability to solve problems is essential
if he or she is to be a productive citizen. Problem solving should
be the focus of school mathematics. Students need to work on problems
that may take hours, days, and even weeks to solve. Although some
may be exercises to be accomplished independently, others should
involve small groups or an entire class working cooperatively.
Some problems should be open-ended with no right answer, and others
need to be formulated so as to arrive at a right answer.
- LEARN TO COMMUNICATE MATHEMATICALLY.
The development of a student's power to use mathematics involves mastering
the signs, symbols, and terms of mathematics. This is best accomplished
in problem situations where students have the opportunity to read,
write, and discuss ideas in which the use of the language of mathematics
becomes natural. As students communicate their ideas, they learn
to clarify, refine, and consolidate their thinking.
- LEARN TO REASON MATHEMATICALLY.
Making conjectures, gathering evidence, and building an argument to
support notions are fundamental to doing mathematics. A demonstration
of good reasoning should be rewarded as well as a student's ability
to find correct answers. Technology should impact every facet of
mathematics, especially the area of logical reasoning because of
the vast capabilities of computers and calculators to help students
make conjectures, gather evidence and build an argument.
- UNDERSTAND FUNDAMENTAL CONCEPTS AND
PROCEDURES OF MATHEMATICS.
Students must engage in exploring, conjecturing, and reasoning to develop
a clear understanding of fundamental concepts and procedures in arithmetic,
algebra, geometry, and data analysis.
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Goals for Students
of Mathematics
Spring
Branch's goals for students of mathematics K - 12 are those
of the National Council of Teachers of Mathematics as stated
in the Curriculum and Evaluation Standards for School Mathematics
(March 1989). The intent of these goals is that students
will become mathematically literate. This term denotes an
individual's ability to explore, to conjecture, and to reason
logically, as well as to use a variety of mathematical methods
effectively to solve problems. By becoming literate, their
mathematical power should develop. Our goals are for students
to:
1. LEARN
TO VALUE MATHEMATICS. Students
should have numerous and varied experiences related to
the cultural, historical, and scientific evolution of mathematics
so that they can appreciate the role of mathematics in
the development of our society and explore mathematics
and the disciplines it serves: the physical and life sciences,
the social sciences, and the humanities.
2. BECOME
CONFIDENT IN ONE'S OWN ABILITY. As
a result of studying mathematics, students need to view
themselves as capable of using their growing mathematical
power to make sense of new problem situations in the world
around them. We must endow all students with a realization
that doing mathematics is a common human activity. Having
numerous and varied experiences allows students to trust
their own mathematical thinking.
3. BECOME A MATHEMATICAL
PROBLEM SOLVER. The
development of each student's ability to solve problems
is essential if he or she is to be a productive citizen.
Problem solving should be the focus of school mathematics.
Students need to work on problems that may take hours,
days, and even weeks to solve. Although some may be exercises
to be accomplished independently, others should involve
small groups or an entire class working cooperatively.
Some problems should be open-ended with no right answer,
and others need to be formulated so as to arrive at a right
answer.
4. LEARN
TO COMMUNICATE MATHEMATICALLY. The
development of a student's power to use mathematics involves
learning the signs, symbols, and terms of mathematics.
This is best accomplished in problem situations where students
have the opportunity to read, write, and discuss ideas
in which the use of the language of mathematics becomes
natural. As students communicate their ideas, they learn
to clarify, refine, and consolidate their thinking.
5. LEARN
TO REASON MATHEMATICALLY. Making
conjectures, gathering evidence, and building an argument
to support notions are fundamental to doing mathematics.
A demonstration of good reasoning should be rewarded even
more than a student's ability to find correct answers.
Technology should impact every facet of mathematics, especially
the area of logical reasoning because of the vast capabilities
of computers and calculators to help students make conjectures,
gather evidence and build an argument.
6. UNDERSTAND
FUNDAMENTAL CONCEPTS AND PROCEDURES OF MATHEMATICS. Students
must engage in exploring, conjecturing, and reasoning to
develop a clear understanding of fundamental concepts and
procedures in arithmetic, algebra, geometry, and data analysis.
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