Published using Google Docs
KVEC Math Child Find Intervention Tool.docx
Updated automatically every 5 minutes

       Kentucky Valley Educational Cooperative

         Math Child Find Intervention Tool                                                

Intervention Tool Directions 

The Math Intervention Tool will provide you with strategies and resources to address deficits in the areas of math.   This instrument provides a continuum of interventions for math calculation and math reasoning and application. 

                                                         Kentucky Multi-Tiered System of Supports

Tier 1

The foundational or universal level of support. All students receive high-quality, evidence-based instruction aligned to grade-level standards, school wide behavioral expectations and key social-emotional competencies. In sustainable systems, at least 80% of students have their needs met through this universal level of support. Impacts everyone across all settings. Regular, proactive support that emphasizes teaching core learning..

(Whole Group), High Quality Core Instruction

GUIDELINES FOR  MATH INSTRUCTION

  1. Choose High Ceiling Task                                                               4.  Emphasize Mathematical Patterns.                        
  2. Present Information at three levels. (CSA)                         5.  Teach Math Facts to a high Level of Automaticity.                 
  3. Teach the “Big Ideas” Explicitly  in Mathematics.                 6.  Use Novelty to Build on Students’ Strength.                        
  1. Focus on Critical Content                                 7.  Teach Algorithms Explicitly.
  2. Break down Complex skills                                8.  Teach to Both Brain Hemispheres and Learning Styles
  3. Provide Systematic Instruction                                        a.    Logical/Mathematical
  4. Provide Judicious Practice (0.79)                                  b.    Musical
  5. Elicit Frequent Responses                                        c.    Spatial
  6. Carefully Monitor Responses                                                    d.   Interpersonal
  7. Provide Specific Corrective Feedback                                e.    Naturalistic
  8. Maintain a Brisk Pace                                        9.   Scaffold the Student Practice.

Tier 2

Practices and systems that provide targeted support for students who are not successful with Tier 1 supports alone. The targeted or supplemental level of support is intended for some students who require more opportunities for practice and feedback or enrichment beyond Tier 1. In sustainable systems, 10-15% of students access this level of support in addition to the universal level. Tier 2 supports are often provided to groups of students with similar targeted needs. Frequency and duration will increase while group size will decrease.

*Tier 2 is in addition to Tier 1.

Example: A small group (0.47) of 5 students receives an intensive intervention twice a week for 20 minutes in addition to Tier

Tier 3

The most intensive level of support.Practices and strategies that are more intensive and individualized implemented to improve academic needs of students who have not responded to Tier 1 or Tier 2 strategies. It is intended for students with the most significant and persistent needs extending well beyond the reach of the Tier 1 level. In effective systems, 1-5% of students need access to this level of support. Tier 3 is characterized by increased intensity and individualization of instruction and targeted supports. Frequency and duration will increase while group size will decrease.

*These strategies are in addition to Tier 1 and Tier 2 strategies.

Example: A group of 2 students receives intensive intervention 4 days a week for 30 minutes in addition to Tier 1 and Tier 2 supports.

Mathematics Calculation 

The knowledge and retrieval of mathematical facts and the application of procedural knowledge in computation.

Problem or Concern

Measurable, observable, and objective – see it, count it, describe it

Tier 1, Tier 2, Tier 3

Intervention Strategies

Intervention/strategy must address  the discrete skill deficit.

Note: If interventions are not showing improvement, then change the intervention - look at multiple data points *Hattie Effect Size

Evidence

What will the staff do to ensure the intervention is being implemented? What tools do staff need to implement strategy?

Student Data Collection

Method of Measurement identifies how data will be gathered to measure progress.  

 

a

  • An inability to subitize (without counting)
  • Inability to count backward
  • Have difficulty remembering previously encountered patterns

a

  • Lesson Plans
  • Student Work Samples
  • Analysis of Data Collection
  • Anecdotal Notes
  • Mind Maps
  • Flow/KWL Charts
  • Math Probes
  • Student Interviews
  • Graphic Organizers
  • Criterion Referenced Assessments
  • Authentic Assessment
  • Formative Assessment

b

  • Problems with place value that involves understanding the base ten system.
  • Problems with all aspects of money
  • Difficulty with reading clocks or telling time.

b

  • Use of Manipulatives (0.50)
  • Direct instruction in Organization (0.75)
  • Direct instruction in Hundred Chart for coins (0.75)
  • Coin Antennas or Hairy Math (0.59)
  • Repetitive Corrective Practice (0.79)
  • Color Code the Clock (0.50)
  • Scaffold the teaching of time and money. (0.82)

c

  • Misaligning numbers when copying problems from a chalkboard or textbook, not able to copy problem correctly
  • Lose his or her place while working on math problems

c

  • Give a copy to the student at the desk to copy from.
  • Use a spacer for the student to apply to the textbook when copying.
  • Use of cut out notecards for movement on paper or book. (0.50)
  • Direct instruction in visual/spatial skills to align numbers (0.60)
  • Identifying similarities and differences (1.61)

d

  • Have difficulties maintaining precision during mathematical work.
  • Ignoring decimal points that appear in math problems

d.

  • Turn paper sideways to align problems with decimals.  
  • Highlight Decimals and any mathematical sign or color code them before working problems. (0.50)
  • Underline, circle, or highlight (0.50)
  • Draw out the problem
  • Use visual organizers/graphic organizer (0.64)

e.

  • Computational weakness
  • Difficulty identifying signs and their meaning (e.g. +,-,X,<,>,=,%, or variable)
  •  Incomplete mastery of number facts and commutative property
  • be unable to recall basic math facts, procedures, rules, or formulas
  • be very slow to retrieve facts or pursue procedure
  • Solving multi-digit calculations that require borrowing (subtraction) or carrying (addition)
  •  be entangled in multiple steps or elements of a problem
  • Memory problems to recall the steps needed to solve difficult word problems, solve algebraic equations and to remember what specific symbols mean.

e.

  •  Use of Manipulatives (0.50)
  • Direct instruction in Organization (0.75)
  • Direct instruction in Hundred Chart for coins (0.75)
  • Coin Antennas or  Hairy Math (0.59)

Math Reasoning and Application

 The ability to apply mathematical concepts and understandings to real-world situations through word problems. It is the functional combination of computation knowledge and application knowledge, and involves the use of mathematical computation skills and fluency, language, reasoning, reading, and visual-spatial skills in solving problems. It is applying mathematical knowledge at the conceptual level.

Problem or Concern

Measurable, observable, and objective – see it, count it, describe it

Tier 1, Tier 2, Tier 3

Intervention Strategies

Intervention/strategy must address  the discrete skill deficit.

Evidence 

What will the staff do to ensure the intervention is being implemented? What tools do staff need to implement strategy?

Student Data Collection

Method of Measurement identifies how data will be gathered to measure progress.  

a

  • confused by language in word problems
  • weaknesses in learning and identifying math vocabulary
  • Difficulty understanding the relationship between  number symbols and words
  • Difficulty with representing a problem in an equation

a

  • Instruction in math problem sentences/words into numbers and equations.
  • Numberless word problems
  • Have students explain their strategies when problem solving to expand solving options (0.68)
  • Convert word problems to visual representation.
  • Repeat skills and vocabulary (0.67)
  • Pre-teach vocabulary (0.67)
  • Explicitly teach vocabulary (0.67)
  • Rephrasing questions (0.48)
  • Identifying Similarities and Differences (1.61)
  • Content Scaffolding Progression

  • Lesson Plans
  • Student Work Samples
  • Analysis of Data Collection
  • Anecdotal Notes
  • Mind Maps
  • Flow/KWL Charts
  • Math Probes
  • Student Interviews
  • Graphic Organizers
  • Criterion Referenced Assessments
  • Authentic Assessment
  • Formative Assessment

b

  • Not able to identify salient aspects of a mathematical situation, particularly in word problems or other problem solving situations where some information is not relevant
  • Not able to identify irrelevant information is included or when information is given out of sequence

b

  • Solve word problems using structured organizers (0.64)
  • Display mathematical thinking in a variety of ways (illustration, graphs, diagrams) (0.64)
  • Graphic representation of word problem schema
  • Highlight or color code signs/keywords (0.50)
  • Word problem map (0.69)
  • Display Learning Walls: anchor charts, visual cues
  • Use multiple representation (0.69)
  • Schematic diagrams anchored instruction
  • Reduce the number of problems at one time
  • Have student repeat directions

c

  • Has difficulty telling when tasks can be grouped or merged and when they must be separated in a multi-step math problem
  • Difficulty switching between multiple demands in a complex math problem
  • Difficulty with determining the best solution to a word problem

c

  • Model problem solving through talking aloud (0.68)
  • Have students explain their strategies when problem solving to expand solving options (0.68)
  • Provide graphic organizer (0.64)

d

  • Lose appreciation of the final goal and over emphasize individual elements of a problem and determining best solution
  • Unable to appreciate the appropriateness or reasonableness of solutions generated and estimate

d

  • The Polya Process
  • Make a model
  • Draw it out
  • Act it out
  • Work backwards
  • Reinforcing Effort and providing Recognition (0.80)
  • Setting objectives and providing feedback (0.61)

e

  • Difficulty transferring knowledge (applying math skills in different areas.
  • Difficulty understanding relationships between new concepts
  • Difficulty generalizing or making connections between new material and acquired knowledge
  • Limited problem solving skills in new and everyday situations
  • Difficulties seeing the big picture and how they relate to each other.
  • Problems understanding and evaluating opinions/views of others (Math Talks)

e

  • Explicitly teach multiple approaches to solving problems
  • Define relationships and connections between ideas in a concrete way
  • Provide analogies and real world scenarios that the student can relate to
  • Provide opportunities to sort, classify, and categorize
  • Make use of graphic organizers to assist in unifying information and breaking information apart (0.64)
  • Teach problem-solving strategies
  • Use cooperative groups and reciprocal teaching to help with perspective taking and exposure to different problem solving methods (0.68)
  • Model problem solving through talking aloud (0.82)

f

  • Difficulty interpreting maps and understanding geometry.
  • Difficulties interpreting and manipulating geometric configurations
  • Difficulties appreciating changes in objects as they are moved in space
  • difficulty interpreting charts, graphs, and diagrams

f

Mathematics

 The following problems and concerns are found in both areas of Math Calculation and Math Reasoning.

Problem or Concern

Measurable, observable, and objective – see it, count it, describe it

Tier 1, Tier 2, Tier 3

Intervention Strategies

Intervention/strategy must address  the discrete skill deficit.

Evidence

What will the staff do to ensure the intervention is being implemented. What tools do staff need to implement strategy?

Student Data Collection

Method of Measurement  identifies how data will be gathered to measure progress.  

a

  • Difficulty with the vocabulary of math

a

the Vocabulary (0.67)

  • Engage Prior Knowledge and Interest (0.93)
  • Structured Notes
  • Math Reference Notebook

  • Lesson Plans
  • Student Work Samples
  • Analysis of Data Collection
  • Anecdotal Notes
  • Mind Maps
  • Flow/KWL Charts
  • Math Probes
  • Student Interviews
  • Graphic Organizers
  • Criterion Referenced Assessments
  • Authentic Assessment
  • Formative Assessment

b

  • Making Connections
  • Difficulty noticing patterns
  • difficulty interpreting number, fractions, and percents
  • Difficulties sequencing multiple steps
  • trouble ordering the steps used to solve a problem

b

c

  • Difficulty explaining and communicating about math, including asking and answering questions

c

  • Cognitive and Meta-Cognitive Strategies (0.60)
  • Visual (Graphical) Representation (0.64)
  • Graphic Representation or word Problem Schema (0.64)
  • Worked Examples (0.37)
  • Immediate Corrective Feedback (0.70)
  • Solving Word Problems Using Structured Organizer
  • Direct/Explicit Instruction (0.60)(reteaching) in the content and misconception

d

  • Weakness in spatial orientation
  • Weakness in Directional (left/right)(up/down)

d

e

  • Slow processing speed
  • weakness with short or long term memory
  • forget what he or she is doing in the middle of a math problem

e

f

  • Difficulties with handwriting that slow down written work or make it hard to read later
  • feel overloaded when faced with a worksheet full of math exercises

f

  • Limit any visual clutter.
  • Provide copies of notes
  • Provide adequate and uninterrupted wait/think/work time.
  • Use Vertical Line or Graph paper for organization (0.75)
  • Reduce the number of problems at one time.

Resources

Additional Resources:

www.kyabri.com/math - resources and strategies to develop effective intervention strategies and systemic interventions with fidelity.

www.interventioncentral.org - Provides teachers, schools and districts with free resources to help struggling learners and implement RTI and attain the Common Core State Standards.  

KVEC EC Google site managed by KVEC special education consultants that provides resources/trainings in Math, ELA, Behavior, Due Process, and HI/VI.

IRISThe IRIS Center offers a wide variety of resources and services to suit a diverse set of instructional needs and circumstances. In this section, you will learn more about those services and resources, including how they are created and disseminated to IRIS users and educational programs in the United States and around the world.

Kentucky Numeracy Project - Homepage for the Kentucky Numeracy Project

 High Logic Math Evidence Based Practice -Evidence Based Math Teaching Practice  for teaching and the Evidence strength.  The source for them.

RTI Processing and Planning

RTI document Full Text.pdf  - Georgia Department of Education - This document helps with bridging behavioral and mathematics gaps.

Georgia Numeracy Project - Developing a plan for RTI for students - Implementation Resources

http://www.rtinetwork.org/toolkit - planning tool and resources for implementation of RTI

http://www.rtinetwork.org/essential/tieredinstruction/tier2/mathintervention - Mathematics Intervention at the Secondary Prevention Level of a Multi-Tier Prevention System: Six Key Principles

Numeracy and Consultants:  Numbers are all we do - Free Math Intervention Program and Resources

Designing and Delivering Intensive Interventions Toolkits - Texas designed toolkit provides activities and resources to assist practitioners in designing and delivering intensive interventions in reading and mathematics for K–12 students with significant learning difficulties and disabilities.

Screeners and Assessment

Universal Screeners for Number Sense - Forefront K-5 Universal Screeners for Number Sense

Acadience Math Materials Download - Acadience Learning- Math Hub for Assessment, Benchmarks and Progress Monitoring materials for grades k-6

MATH U SEE  - Math placement test for grades -12

Math Mammoth - These free diagnostic tests help you discover your student’s level in math, and to find out exactly where they have gaps in any.  

LifePAC - Diagnostic testing for math 1-8 grades

North Carolina Skill Based Assessments - Assessments for grades k-5

Activities, Games, and Instruction

https://elemath.hallco.org/web/interventions-progress-monitoring/ - Resources for instruction, math content, and RTI

Numeracy Project Tasks and Activities by Stageracy Project - Georgia Department of Education Activities designed to improve fluency.

National Center on Intensive Intervention - Series of Mathematics Lessons, Strategies, and Activities, to supplement mathematics intervention.

Tier 2 & 3 Math Resource Toolkit for all Grade levels in math instruction

Inclusive Practices in Math -These free materials contain 23 modules that are focused on different mathematics content and are designed for grades 2 through 8.  

Standards and Supports

Integrating SEAD with KAS for Mathematics Grade Levels - KDE Support for Social, Emotional and Academic Development with Kentucky Standards

LDs in Mathematics:  Evidence - Based Interventions, Strategies, and Resources - Interventions and SDI for students struggling in Mathematics

IEP and Lesson Plan Development Handbook - This page contains guidance documents for the development and creation of Individualized Education Programs.

Articles

Encouraging Girls in Math and Science - Institute of Education Sciences - Article for Engaging Girls

6 Research Backed Ways to Close the COVID Learning Gap

What Works Clearinghouse:  Teaching Math to Young Children

What Works Clearinghouse: Developing Effective Fractions Instruction for K- 8th grade

What Works Clearinghouse:  Improving Mathematical Problems Solving in Grades K-8

Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle Schools

Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students

Instructional Scaffolding to Improve Learning