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SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

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Page 1: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

SYSTEMATIC INSTRUCTION IN MATHEMATICS

Part I—Scaffolding Instruction

2010 Region 3 Education Service Center / Texas A&M University

Page 2: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Objectives

2010 Region 3 Education Service Center / Texas A&M University

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By the end of this training, you will be able to

• define systematic instruction

• describe major approaches used in systematic instruction

• explain how to apply scaffolded instruction in teaching math

• relate the benefits of using scaffolded instruction

Page 3: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Evidence-Based Instruction

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• Systematic instruction is the most substantiated evidence-based instruction (Collins, Kleinert, and Land, 2006)

• Systematic instruction is effective in teaching various math skills to students with moderate and severe disabilities (Browder et al., 2008)

Page 4: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Research Studies

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Systematic instruction has been used to teach

• frequency tally and graphing (Ackerman and Shapiro, 1984)

• addition (McEvoy and Brady, 1988)

• one-to-one correspondence (Lagomarcino and Rusch, 1989)

• use of a calculator and graphing (Lovett and Haring, 1989)

• use of a number line and matching numbers (Copeland et al., 2002)

Page 5: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Research Example

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Teaching students with moderate disabilities to count money by using the sequential prompting strategy (Colyer and Collins, 1996):

1. Show the flash card ($3.75)2. State the price as a cashier (“It is three seventy-

five”)3. Tell the student what to do (“Give me three dollars

and one more”)4. Model, and have the student follow

Page 6: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

What Is Systematic Instruction?

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• Systematic instruction refers to a well-planned sequence for instruction.

• It is designed before the activities and lessons are developed, and it is based on student characteristics.

• It involves a variety of instructional methods, including scaffolded instruction, system of prompts, and reinforcement.

Page 7: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Scaffolding Instruction

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Scaffolding instruction is “the systematic sequencing of prompted content, materials, tasks, and teacher and peer support to optimize learning.”

(Dickson, Chard, and Simmons, 1993, p. 12)

Page 8: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Zone of Proximal Development

• Zone of proximal development (ZPD) is “…the area between what the child can accomplish unaided and the level the same child can accomplish with assistance.”

(Beed, Hawkins, and Roller, 1991)

• Scaffolding provides the support as needed and leads to independent task performance.

(Graves and Braaten, 1996)

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Page 9: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Scaffolding Instruction

“The goal of scaffolding is to support students until they can apply the new skills and strategies independently.”

(Larkin, 2001)

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Page 10: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Scaffolding Instruction for Mathematics

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“The purpose of scaffolding instruction is to provide students who have learning problems a teacher supported transition from primarily seeing and hearing the teacher demonstrate and model a particular math concept/skill to performing the skill independently.”

(http://fcit.usf.edu/mathvids/strategies/si.html)

Page 11: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Procedures

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• Teacher initially describes/models the concepts/skills several times.

• Teacher models the skill with the students’ input (for example, with questions and answers).

• Teacher gradually fades directions as students demonstrate increased levels of competency in performing the skill.

• Teacher monitors students to perform the skill with few or no prompts.

Page 12: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Scaffolding Instruction Procedures

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(Beed et al., 1991)

Teacher modelingTeacher modeling

Modeling with student inputModeling with student input

Cueing specific elementsCueing specific elements

Activity #1

Cueing specific strategiesCueing specific strategies

Providing general cuesProviding general cues

Page 13: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Teacher Modeling

1

2

3

4

5

1

2

3

4

5

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Page 14: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Modeling with Student Input

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Page 15: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Cueing Specific Elements

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Page 16: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

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(Beed et al., 1991)

Handout #1

Activity #2

Page 17: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Video

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Watch the video and reflect on how the teacher implemented the Scaffolding Instruction.

Click to play the video

Page 18: SYSTEMATIC INSTRUCTION IN MATHEMATICS Part I—Scaffolding Instruction 2010 Region 3 Education Service Center / Texas A&M University

Closure

Take out your Change of Practice Plan. Think about what you learned in this module and relate it to your classroom. Write down some ideas of what you want to start to use in your classroom.

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