Evidence Based Mathematics Strategies

Dr. Erica Lembke

Department of Special Education

University of Missouri

Overview

• What are evidence based practices in mathematics?
• Data based individualization as a model for delivering high quality math instruction
• Designing effective math instruction that embeds evidence based strategies
• Intensification strategies

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evidence-based intervention

evidence-based strategy

Improvement from before intervention

Improvement compared to no treatment students

Multiple researchers

Multiple students

Multiple times

Setting and students similar to your own

promising practice—CAUTION

Assessment data to show results

Replication

Gersten et al. (2009)

Improvement from before intervention

Improvement compared to no treatment students

Multiple researchers

Multiple students

Multiple times

Setting and students similar to your own

Assessment data to show results

Replication

Significant difference from baseline to posttest

Bryant et al. (2016)

Improvement from before intervention

Improvement compared to no treatment students

Multiple researchers

Multiple students

Multiple times

Setting and students similar to your own

Assessment data to show results

Replication

Significant difference between conditions

Fuchs et al. (2009); Krawec, Huang, Montague, Kressler, & de Alba (2012)

Improvement from before intervention

Improvement compared to no treatment students

Multiple researchers

Multiple students

Multiple times

Setting and students similar to your own

Assessment data to show results

Replication

Improvement from before intervention

Improvement compared to no treatment students

Multiple researchers

Multiple students

Multiple times

Setting and students similar to your own

Assessment data to show results

Replication

Improvement from before intervention

Improvement compared to no treatment students

Multiple students

Multiple times

Setting and students similar to your own

Assessment data to show results

Replication

Multiple researchers

Improvement from before intervention

Improvement compared to no treatment students

Multiple times

Setting and students similar to your own

Assessment data to show results

Replication

Multiple researchers

Burns, Kanive, & DeGrande (2012); Jitendra, Hoff, & Beck (1999)

Multiple students

Improvement from before intervention

Improvement compared to no treatment students

Setting and students similar to your own

Assessment data to show results

Replication

Multiple researchers

Multiple students

Multiple times

Improvement from before intervention

Improvement compared to no treatment students

Setting and students similar to your own

Assessment data to show results

Replication

Multiple researchers

Multiple students

Multiple times

Questions about EBPs

Share with someone beside you….

• Why are these important to pay attention to?
• What makes it difficult to identify and implement these practices?

How to Design Your Math Instruction

See WWC practice guides on Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students, for example: https://ies.ed.gov/ncee/wwc/PracticeGuide/20

Let’s focus on this instructional platform. What’s important with the design of math intervention?

INSTRUCTIONAL DELIVERY

INSTRUCTIONAL STRATEGIES

Explicit Instruction

Precise Language

Multiple Representations

Fluency Building

Problem Solving Instruction

Motivation Component

Instructional Platform

This guide has lots of great information about the design of instruction.

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It’s free!

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Use the QR code below to go to the site where this guide and others are posted.

1. Explicit Instruction

1. Explicit Instruction

1. Explicit Instruction

1. Explicit Instruction

More detail about Explicit Instruction

• Consider accessing the tailored, lightboard videos we have created to support your math instruction
• Here is an example on explicit instruction in math

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• https://www.youtube.com/watch?v=A23rVJZLqAQ

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2. Multiple Representations

2. Multiple Representations

2. Multiple Representations

2. Multiple Representations

Multiplying Linear Equations Part 1: �Using Algebra Blocks

Want More Multiple Representations? 

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3. Math Language

3. Math Language

Strategies so far….

• Explicit Instruction, Multiple Representations, Math Language
• Which of these have you used in the past and how effective were they?
• Which would you use in the future and why?

4. Word-Problem Instruction

4. Word-Problem Instruction

5. Mnemonics

5. Mnemonics

The Evidence Based Intervention (EBI) Network—Intervention Briefs

• Briefs that provide overviews of evidence based strategies and packaged interventions.
• Brief on Mnemonic Strategies for solving word problems—
• Take a minute to look through this brief
• How might you use or share these briefs?

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6. Graphic Organizers

6. Graphic Organizers

7. Fluency Building Activities

7. Fluency Building Activities

Rating Strategies

• On a scale of 1 to 5 with 1 being will likely not implement or explore and 5 being will definitely implement or explore, how would you rate the following:
• Explicit Instruction
• Multiple Representations
• Math Language
• Word Problem Instruction
• Mnemonics
• Graphic Organizers
• Fluency Building Activities

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How to Adapt Your Math Instruction

This guide has lots of great information about adaptations to instruction.

It’s free!

Intensifying Instruction

• Think about a student who you have worked with who didn’t respond positively to the instruction or intervention you were providing, despite the use of an evidence based practice, delivered with fidelity, over time.
• Share some examples
• What can we do to enhance instruction in these cases?

Resource Exploration

• Using the links on the resource handout, take a few minutes to explore.
• Consider an area that you hope to strengthen in your mathematics instruction
• What will be your next step in using the information we have discussed today to support your efforts?

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Share out

• Talk to someone next to you about your next steps

Wrapping up….questions that remain?

• What are evidence based practices in mathematics?
• Data based individualization as a model for delivering high quality math instruction
• Designing effective math instruction that embeds evidence based strategies
• Intensification strategies

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Thank you!

• Please email if you have further questions…
• Erica Lembke—lembkee@missouri.edu