Transcript
Page 1: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Developing IEPs, Math Strategies, Web Tools and Resources

October 22, 2010

Page 2: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Critical Characteristics of the Gifted Learner On Which Differentiation Is Based

•Precocity•Complexity•Intensity•Creative•Conceptual•Perfectionistic

Joyce Van Tassel Baska 2009

Page 3: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Learner Char. and Corresponding Emphasis in the Curriculum

The Learner

Precocity

Intensity

Complexity

The Curriculum

Advanced Content

Process/product depth

Issues/concepts/ themes/ideas

Page 4: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

The Integrated Curriculum Model

Content Skills – Ideas,issues, themesacross domains of learning

Page 5: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

•Visual/spatial – using mind maps, charts

•Verbal/Linguistic – reading, listening, relating

•Logical/Mathematical – problem solve, show by an equation, If-Then

Page 6: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

But at higher levels of thinking

Brochure

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Cross-CurricularGoal Example

Critical Skill

Timeframe

Condition Behavior Evaluation Criteria

with Procedure

By the end of grade 9

when provided a model for problem solving and conferencing with teacher for each research/PBL project phase

Jane will select 4 resources to plan, develop, organize and deliver a research/PBL project

as measured per project using rubric and a rating of above average or more on final product.

PROCESS

Page 8: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

INDIVIDUALIZED EDUCATION PROGRAM

Page __ of __

_____County Schools

Student’s Full Name __Jane Doe Date _______

PART V: ANNUAL GOALS, Part A

Timeframe Condition Behavior Evaluation Procedure

with Criteria

Mastery/Progress Codes (optional) (per

Grade Period)

By the end of the 2009-2010 school year,

given a community project of her choosing, a variety of resources and support

Jane will develop an informational brochure including justifications of statements

with 100% correct grammatical and mechanical properties in writing throughout the brochure.

By the end of the 2009-2010 school year,

given a variety of resource materials, electronic and non-electronic, and a research model

Jane will plan, develop, organize and deliver a research project, with documented sources, in-text citations to avoid plagiarism and computer-generated graphic aids.

demonstrating a highest level of proficiency on a 4 level research rubric for 3 out of 4 trials.

Product

Page 9: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

INDIVIDUALIZED EDUCATION PROGRAM

Page __ of __

_____County Schools

Student’s Full Name ___Jane Doe Date _______

PART V: ANNUAL GOALS, Part A

Timeframe Condition Behavior Evaluation Procedure

with Criteria

Mastery/Progress Codes (optional) (per

Grade Period)

By the end of the 2009-2010 school year,

given extension activities within the 7th grade social studies curriculum

Jane will communicate her research effectively using spoken, written and visual language for a variety of audiences and for different purposes

at the distinguished level on a teacher-made rating scale for 4 out of 5 trials.

By the end of the 2009-2010 school year,

given support in multi-disciplinary project-based learning model

Jane will apply the steps of a problem-solving model to complete a project or analyze a situation

with the highest level of proficiency on a 4-level problem solving rubric for 3 out of 4 trials.

Process

Page 10: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

INDIVIDUALIZED EDUCATION PROGRAM

Page __ of __

_____County Schools

Student’s Full Name __Jane Doe Date _______

PART V: ANNUAL GOALS, Part A

Timeframe Condition Behavior Evaluation Procedure

with Criteria

Mastery/Progress Codes (optional) (per

Grade Period)

By the end of the 2009-2010 school year,

given access to distance learning and facilitation by the gifted specialist

Jane will complete an on-line Algebra 1 course

demonstrating mastery of the course objectives on an end-of-course exam.

By the end of the 2009-2010 school year,

given printed texts from current real-life issues and concerns, and focusing on key concepts and principles

Jane will use graphic organizers and visualization techniques to interpret information (e.g., charts, graphs, diagrams, non-verbal symbols)

demonstrating completion of 100% of items on a teacher-made checklist for 4 out of 4 .

Content

Above-grade level?

Page 11: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

INDIVIDUALIZED EDUCATION PROGRAM

Page __ of __

_____County Schools

Student’s Full Name __Jane Doe Date _______

PART V: ANNUAL GOALS, Part A

Timeframe Condition Behavior Evaluation Procedure

with Criteria

Mastery/Progress Codes (optional) (per

Grade Period)

By the end of the 2010-2011 school year,

Given/using Jane will

By the end of the 2010-2011 school year,

Page 12: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Services

Special Education Services - a change to the content of the general education curriculum due to the nature of a student’s exceptionality or the unique needs arising from the student’s exceptionality.

Generally, two categories:

Acceleration Enrichment

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Page ____ of ____

County Schools

Student's Full Name: Susie Smith

527/2010 5/22/2011

Direct 5/27/2010 5/22/2011Indirect 5/27/2010 5/22/2011Indirect 5/27/2010 5/22/2011Indirect 5/27/2010 5/22/2011

Direct 5/27/2010 5/22/2011

C. Related ServicesDirect / Indirect

Location of Services

Extent/Frequency _____ per _____

General Education

Environment = GEE

Special Education

Environment = SEE

Other = _________

30 min./day10 min./week10 min./week10 min./week

30 min./week

GEEGEEGEEGEE

SEEMath Acceleration

B. Special Education ServicesDirect / Indirect

RLA EnrichmentMath EnrichmentScience EnrichmentSocial Studies Enrichment

Environment = SEE

Other = _________

Extent/Frequency _____ per _____

Initiation Date m/d/y

Location of Services

General Education

Special Education

Environment = GEE Duration m/y

Initiation Date m/d/y

Duration m/y

DailyWeeklyMonthlyDuring formaltesting

Across all educational environments

Behavior interventionsupport plan

Date: _______________

INDIVIDUALIZED EDUCATION PROGRAM

PART VII: SERVICES

Duration m/y

Initiation Date m/d/y

Extent/Frequency _____ per _____

A. Supplementary Aids, Services / Program Modifications

Location of Services

Part IX: Services

Page 14: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Services

Pull out to Resource Room (SEE)

Special Classes (SEE)

Direct Instruction by the Gifted Specialist in the General Classroom (Co-Teaching) (GEE)

Independent Study

Mentorship

Distance Learning (Gifted Education teacher as facilitator)

Technology – Telecommunication

Seminars

Direct Services (by the special educator):

Page 15: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Services

Consultation

WV Policy 5202 states: §126-136-19.2 Consultative Special Education Teacher. – A special education teacher may serve in a consultative role to content certified and highly qualified general education teachers who are providing direct initial instruction to special education students.

The consultative special education teacher is not the teacher of record for students to who s/he is providing services.” Does not confer the grade.

Indirect Services:

Page 16: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Services

Consultation (continued)

To confer a grade: If the special education teacher of gifted education does not hold the appropriate content specialization, a formal procedure must be developed to show collaboration and inclusion between the special education teacher and the general education instructors who are the teachers of record and who are conferring the grade.

The mere presence in the classroom is not “a formal procedure to show collaboration.”

Page 17: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Environment

Placement Options:

• General Education: Full-Time (80-100%)

• General Education: Part-Time (40-79%)

• Special Education: Separate Class (0-39% in general education)

Page 18: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Overall Gifted Programming

Does it:

• Provide for academic progress• Remediate academic weakness• Enhance psychological adjustment• Provide socialization

Page 19: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Math Strategies for Deeper Thinking

Finding Patterns

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Developmental Phases

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Developmental Phases

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Developmental Phases

Page 23: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Developmental Phases

4. Induction: Moving from an example to a theory that explains all examples; reasoning from the particular to general.

If you inscribe a triangle in a circle so that

one leg lies along the diameter of the circle, it seems to be a right triangle. You might conclude that this is always the case.

Page 24: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Game

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Frayer Model

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Rubric

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Three of These Things Belong Together

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Begin With Manipulatives to Create a Growing Pattern

Pattern Number

Number of Squares Used

1234567

13610...

Explain in words how you would find the 8th triangular number.

Find a formula for the nth triangular number.

n = a (a+1) 2

Dana Johnson, [email protected] College of William and Mary

Page 32: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Describing Functions and Their Graphs

Three situations and two graphs are given below. Match each graph to the situation that it represents.

Situation 1: A car is driving down the street and runs into a tree. Situation 2: Water is draining from a bathtub.

Graph A

Graph B

Dana Johnson, [email protected] College of William and Mary

Label the axes of the graphs with appropriate units.

Page 33: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

From Inductive Reasoning To Proof

Math ≠ Algebra

Other Math Skills:•Numbers and Operations•Geometry•Measurement•Data and Probability

Page 34: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

From Inductive Reasoning To Proof

These two arguments are constructed for this statement: Every odd whole number is the sum of two consecutive whole numbers.

Student A: Student B:1=0+1 Take any odd number, say,3=1+2 17. Because 17 is odd, it is5=2+3 an even number plus 1.7=3+49=4+5 17=16+1= 8+8+1=I tried the first five 8+9and it clearly works!

Student B developed a systematic way to produce all cases.Student A may not hold a key idea.David Yopp (2010). From Inductive Reasoning

to Proof Mathematics Teaching in The Middle School Vol. 15, No. 5.

Page 35: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Analytical ReasoningExample 1Sales manager Phil Forrester is trying to put together a sales team to cover the Los Angeles area. His team will consist of four members – two experiences and two new salesmen. Sam, Fred, Harry and Kim are the experienced salesmen. John, Tim and Dom are new. Sam and Fred do not work together. Tim and Sam refuse to work together. Harry and Dom cannot work together.Question 1. If Sam is made part of the team, the following must be the other members: A. John, Tim, Dom B. John, Dom, Kim C. Tim, Harry, Kim D. Dom, John, Fred E. John, Dom, Harry

From http://arapaho.nsuok.edu/~weaverca/lawanal.htm

Page 36: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Project Ideas

Handout

Law Web Site

Logic Web Sites http://www.logic-puzzles.org/

ACT Practice Sites

Page 37: Developing IEPs, Math Strategies, Web Tools and Resources October 22, 2010

Resources

New Online IEP Form: http://wvde.state.wv.us/osp/forms.html

Policy 2419 at http://wvde.state.wv.us/policies.html

Resources for teachers at http://wvde.state.wv.us/osp/gifted.html

Johnson, Dana [email protected] College of William and Mary

Pink, Daniel (2006) A Whole New Mind, Riverhead Books Published by the Penguin Group. New York, NY

Tomlinson, Carol Ann, & Doubet, Kristina (2006) SMART in the Middle Grades, Westerville, OH, National Middle School Association

Van-Tassel-Baska, Joyce (2003) Content-Based Curriculum for High-Ability Learners, Waco, TX, Prufrock Press, Inc.


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