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Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 11
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 22
Ron DonovanRon DonovanMathematics Initiative Specialist
[email protected] or 360-480-1477
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 33
Mathematics
• Mathematics is a language and science of patterns
• Mathematical content (EALR 1) must be embedded in the mathematical processes (EALRs 2–5)
• For all students to learn significant mathematics, content must be taught and assessed in meaningful situations
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 44
Learning Mathematics
“Many students don't feel good about math, largely as a result of the way they have been taught. Because of the prevalent belief that classroom mathematics consists of mastering formulas, these students do not understand how mathematics can be meaningful.”
Alan H. Schoenfeld
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 55
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 10
64.5
56.0
49.6 49.1
59.1
48.851.2
21.31997
20.11998
33.01999
Mathematics: Grades 3-8 and 10Mathematics: Grades 3-8 and 10Percent of students meeting standardPercent of students meeting standard
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 66
Learning Mathematics“They do not adequately link symbolic rules
to mathematical concepts--often informally acquired--that give symbols meaning, constrain permissible manipulations, and link mathematical formalisms to real-world situations.”
Lauren Resnick
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 77
• Why are students in high school who score at Level 1 on the WASL struggling with the Mathematics concepts that could help them be more successful?
• What can we do to help students move forward?
• What can students do to help themselves move forward?
Questions
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 88
What Do We Know About Level 1 High School Students In Mathematics?
• Low Mathematics Self-Esteem• See Mathematics as a stand-alone, irrelevant class• 3–5 years below grade-level• Lack the combination of Mathematic skills and
communication skills—the connection• Weak meta-cognition skills—awareness of one’s own
learning or thinking processes• Do not know how to function as independent learners
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 99
What Do We Know About Level 1 High School Students In Mathematics?
• Lack the understanding that Mathematics is more than a set of isolated rules, formulas, and algorithms
• Lack the effort and perseverance• Know only one way to solve problems• Attendance/Behavior/Family Support• Have little or no ability to transfer skills learned—
especially in a contextual scenario• Lack the skills to solve a multi-step problem
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1010
What Problems Do Level 1 Students Experience on the WASL?
• Recognizing the effect of a change in one dimension on area, perimeter, and volume
• Using information from tables and graphs to support a conclusion
• Following ALL directions
• Knowing how to interpret and use stem and leaf plots or box and whisker plots
• Organizing and supporting their answer
• Labeling measurements
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1111
Blank Response Data forHigh School Level 1 Students
0
1
2
3
4
5
6
7
8
Percent of Each Item Left Blank
Nu
mb
er
of
Co
nstr
ucte
d
Resp
on
se I
tem
s
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1212
Learning Mathematics
“There should be as much–or more–emphasis in the mathematics classroom on understanding mathematical concepts and possible mathematical relationships as on accurate computation. Students should be taught to recognize situations in which their mathematical skills can be utilized.”
Richard Lesh
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1313
How Can We Better Engage Students in Learning?
• Students see the connections between what they are learning and the real world.
• Students receive regular feedback on how they are doing and how they can improve.
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1414
Learning Mathematics“Today's youngsters run into difficulty in making inferences, solving
problems, evaluating the reasonableness of results, using references to 'look up' what they need to know, and so on. It is the complex skills, not the basic skills that are deteriorating. What we need is to get back to complexity, where thinking is required in addition to simply knowing some isolated fact or procedure. In realistic situations in which mathematics is used, question asking, information gathering, and trial-answer evaluating are often more important than simple answer giving. Real problems usually require more than simple one-step solutions."
Richard Lesh
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1515
What Is The Purpose Of The Segmented Course?
• Provide an alternative opportunity—still needs to be approved by legislature
– Contextual-based activities
– Active-learning format
• More narrow focus
• Build students’ confidence
• Develop a sense of hope
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1616
Why is This So Important?
“If you lose hope, somehow you lose the vitality that keeps life moving, you lose that courage to be, that quality that helps you go on in spite of it all.”
Dr. Martin Luther King
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1717
• 3 Separate Segments– Segment 1: AS/NS embedded in Process
(approximately 60 days)
– Segment 2: GS/ME embedded in Process (approximately 50 days)
– Segment 3: PS embedded in Process (approximately 35 days)
• An Assessment at the End of Each Segment– Test Map being developed
– Cumulative cut score
What Is The Structure Of The Course?
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1818
• Full year course—Juniors and Seniors• Series of very scaffolded activities that focus on process
with content embedded– Start below grade-level and move forward– Practice assessments developed by the committee
• Support from the teachers in developing test-taking skills• Support from the teachers in developing technical reading
skills• Support from the teachers in developing better
communication skills
What Is The Structure Of The Course?
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 1919
• Our Recommendations:– Not to supplant another Mathematics class
– Very self-contained—limited homework
– Pass/Fail grading
– Focus on competency development rather than material coverage
– Students still take WASL in April
– Use this class to develop Collection of Evidence
– Taught by a certificated or endorsed Mathematics teacher
What Is The Structure Of The Course?
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 2020
Teacher Trainings
• April 30, 2007—Spokane
• May 1, 2007—Richland
• May 2, 2007—Yakima
• May 3, 2007—Wenatchee
• May 7, 2007—Port Angeles
• May 21, 2007—Mt. Vernon
• May 22, 2007—SeaTac
• May 23, 2007—Tumwater
• May 24, 2007—Vancouver
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 2121
What Additional Resources Are Available to Assist The Teachers?
• Computer software possibilities (such as AgileMind, Bridge to Algebra, ALEKS, etc.)
• K–20 video-conferencing
• Classroom materials already
being used
• Local textbooks
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 2222
Mathematics Email Distribution List
Movers & ShakersMovers & ShakersSign-up Now!!Sign-up Now!!
Send Email to: [email protected]
Subject Line: “M & S Sign-up”
Receive pertinent mathematics information, meetings, workshops, and other mathematics
notices on the Movers and Shakers email distribution list!!
Mathematics InitiativeMathematics Initiative
Office of Superintendent
of Public Instruction
Segmented ReviewSegmented Review
March 2007March 2007
Slide Slide 2323
You can do it. We can help.