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- To a Presentation of Bristol Township’s Reform Math Programs
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- History and Process
- Reasons for Selection: Math in Context
- Reasons for Selection: Core Plus
- How this Program meets the Standards
- Sample Lesson from Math in Context
- Recent Developments
- The Implementation Process
- Question and Answer Session
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- Background:
- During the 1998 school year Joe Merlino, a professor at LaSalle
University, came to the IU and presented Math Reform and the National
Science Foundation (NSF) Grant Program.
- Subsequent to this seminar, Professor Merlino was invited to Bristol
Township to present the Grant Program.
- His presentation to the Curriculum Committee was on March 15, 1998.
- On August 17, 1998 the School Board voted to participate in the
Program.
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- Background:(Continued)
- In October 1998 Tony Campione, an associate of Mr. Merlino, came to
Bristol Township and presented one of the NSF approved Math Reform
Programs.
- On November 18th and 19th several teachers from the District attended a
Math in Context training seminar at the Bethlehem School District.
- After this observation Mr. Merlino and Mr. Campione came to the
District and met several times with our Math teachers to discuss the
reform programs.
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- Background:
- The math teachers narrowed their selection to two programs: Connected
Mathematics and Math in Context.
The two programs were ranked number 1 and number 2 respectively
by the NSF.
- Arrangements were then made to observe Connected Mathematics at the
Pennsauken School District on March 15, 1999.
- On April 28, 1999 the District’s Middle School Math teachers selected Math
in Context (MiC)
- On May 18, 1999 the high school select Core Plus after visitations to
Kensington H.S. and Haddon S.D.
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- User friendly student material
- The student material was logically organized and illustrations were
used to supplement the content.
- More appealing to the students
- Because it is easier for the students to use they should enjoy working
with the books which will promote success.
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- Heavier emphasis on Algebra
- This will enable students to make the transition to traditional Algebra
and Geometry if necessary.
- Inter-disciplinary
- This program uses an inter-disciplinary approach. Students discuss concepts related to
the Number, Algebra, Geometry and Statistics Strands.
- Depth versus Breadth
- This program provides for in-depth investigations and explorations of
concepts. Although the number of
concepts covered will decrease students understanding of what they have
learned should increase.
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- Algorithms are imbedded in many activities.
- Algebra is integrated with statistics, probability and geometry.
- Assessments such as capstone activities match PSSA formats.
- Real-life applications are incorporated into each lesson.
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- Test data indicate that more students score at the average and above
average ranges on the PSSA, IOWA and SAT tests when they have used this
program.
- Positive feedback was evident from visitations.
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- Through a series of three books on standards the National Council of
Teachers of Mathematics (NCTM) provides a blueprint for changing the way
mathematics is taught. The first
of this series is titled “Curriculum and Evaluation Standards for School
Mathematics” and was issued in 1989.
Recently Pennsylvania followed the NCTM’s lead and issued a
comprehensive set of standards which are in line with the NCTM
standards.
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- The NCTM issued their “Professional Standards for Teaching Mathematics”
in 1991. In 1995 they issued the
“Assessment Standards for School Mathematics” in 1995. As previously mentioned MiC was
created with these standards in mind.
The books incorporate numerous recommendations outlined in these
standards. Examples of these will
be discussed later. In addition,
a former chairman from the NCTM developed this program.
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- Dr. Thomas Romberg, the chairperson of the commission for the NCTM
Curriculum and Evaluation Standards was invited by the NSF to develop a
middle-school program that embodied the NCTM standards. This is the program that he and his
staff at the University of Wisconsin created. Given Dr. Romberg’s intimate knowledge
of the standards this program was specifically designed with the
standards in mind.
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- Pennsylvania now gives the PSSA test to all 8th grade students. The test is designed to measure how
well students understand the concepts outlined in the state standards.
- Since Math in Context and Core Plus are Reform Mathematics programs designed with the goal of
meeting the standards. For
example, one activity was virtually identical to a problem that appeared
on a prior PSSA test.
- Students learn concepts through real-life contexts.
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- Students are required to explain their responses in both verbal and
written formats. This improves
the student’s ability to communicate mathematically which is one of the core NCTM
curriculum standards.
- Teachers are provided with a wide variety of assessment methods and
tools to accurate evaluate their students understanding.
- Open-ended questions promote discovery and higher order thinking and
improve the students depth of comprehension.
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- Comparing Quantities: This unit
is part of the programs 6th grade Algebra Strand.
- This activity will deal with Combination Charts
- It is an example of how the series meets the standards.
- Several standards are addressed through this activity . One such
standard is Standard 8-Patterns and Functions from the NCTM’s
“Curriculum and Evaluation Standards”
- Turn to Page 7 in your student booklets and we will complete this
activity
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- Mathematics teachers in the District will attend a summer training
sessions in 1999, 2000 and 2001.
- Each session will provide in depth training on the content of the
program.
- It will also provide us with an opportunity to work through some of the
activities that will be used.
- In addition to the summer session we will receive guidance from LaSalle
University throughout the implementation of the program.
- Partial implementation of the program started in the 1999/2000 school
year (6th Grade only).
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- The NCTM is preparing to release a new set of standards titled
“Principles and Standards for School Mathematics.”
- In this document the NCTM clarifies its’ position on arriving at the
correct answer vs. the approach.
A lot of critics complained the standard placed too heavy an
emphasis on approach and not enough on accuracy.
- With the new standards the NCTM is emphasizing that accuracy, efficiency
and basic skills are important aspects of a math curriculum.
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- Although the MiC program was designed with the old standards in mind it
emphasizes the importance of accuracy.
- Additionally, it is easy to supplement activities with practice
worksheets that emphasize certain skills.
- Therefore, the program can easily be adapted to address the NCTM’s new
standards.
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