Dyscalculia Gap Analysis

Systematic identification of critical gaps in dyscalculia support across tools, instruction, assessment, and technology.

Framing Note: This analysis treats dyscalculia as a neurodevelopmental cognitive disorder � a persistent difference in numerical processing architecture (Butterworth core deficit theory; Menon et al. 2025) � not merely a learning disability that resolves with sufficient instruction. Gaps are evaluated against both the legal/educational framework (IDEA, Section 504) and the cognitive neuroscience evidence. The most critical gaps are those where current practice assumes the deficit is temporary and remediable, when the evidence shows it is persistent and requires lifelong accommodation alongside targeted remediation.

The Eight Critical Gaps

Gap 1: No Structured Math Equivalent to Structured Literacy

Problem: While dyslexia has well-established structured literacy frameworks (Orton-Gillingham, Multisensory Structured Language), dyscalculia lacks a comparable, widely-adopted, standardized remediation approach.

Manifestation:

• Math instruction varies wildly across schools; no consensus on core methodology
• CRA (Concrete-Representational-Abstract) is evidence-based but underutilized compared to traditional computation drill
• Teachers often follow state standards without explicit attention to foundational number sense
• Intervention programs for dyscalculia are fragmented and lack theoretical coherence

Impact:

• Students with dyscalculia receive inconsistent instruction quality
• Interventions may be ineffective due to poor methodology alignment
• Training and certification for teachers is minimal compared to dyslexia training

Gap Analysis Recommendation:

• Develop and standardize a dyscalculia remediation framework equivalent in rigor to Orton-Gillingham
• Include explicit scope and sequence for number sense, computation, fluency, reasoning
• Provide teacher certification pathway for dyscalculia instruction

Gap 2: Missing Number Sense Visualization Tools

Problem: While reading has letter-formation cards, sight-word flashcards, and decodable readers, math lacks comparable visual tools for number sense development.

Manifestation:

• Limited digital tools for subitizing practice (instant quantity recognition)
• Few accessible magnitude comparison visualizations
• Inadequate quantity decomposition models (part-whole understanding)
• Finger-counting strategies under-supported despite evidence for effectiveness

Impact:

• Students with weak number sense don't have adequate practice opportunities
• Transition from concrete to representational is abrupt and often unsuccessful
• Digital platforms offer computation drill but minimal number sense development

Gap Analysis Recommendation:

• Design and validate subitizing apps with adaptive difficulty progression
• Create open-source magnitude comparison visualizations (number lines, Rekenrek animations, comparing sets)
• Develop animated part-whole models for decomposition
• Support finger-based strategies through adaptive tracking and feedback

Gap 3: Inadequate CRA-Based Digital Platforms

Problem: Most digital math interventions skip or rush the concrete stage, moving too quickly to abstract symbolic work.

Manifestation:

• Apps focus on computation drills without manipulative support
• When manipulatives are shown, they're pictures (representational) rather than interactive (concrete)
• No system for tracking concrete stage mastery before advancing
• Limited integration between physical and digital manipulatives

Impact:

• Students move to abstract work before neural pathways are established
• Digital interventions feel disconnected from classroom manipulative work
• Teachers have no visibility into concrete stage competency for progress monitoring

Gap Analysis Recommendation:

• Create digital platforms with full concrete-representational pipeline
• Develop AR/haptic interfaces that simulate concrete manipulation
• Implement mastery-based gating (student must demonstrate concrete competency before advancing)
• Provide real-time visualization of student work with physical manipulatives

Gap 4: Math Anxiety Not Integrated with Remediation Tools

Problem: While instructional programs address computation, they ignore the emotional and motivational barriers (math anxiety) that impair performance.

Manifestation:

• Timed fluency drills increase anxiety and avoidance
• Remediation programs use performance pressure similar to causes of anxiety
• No systematic anxiety assessment or management within intervention tools
• Anxiety treated separately (counseling) rather than integrated into instruction

Impact:

• High-anxiety students may fail interventions despite having ability
• Anxiety worsens with negative feedback on performance
• Avoidance patterns established during intervention continue long-term

Gap Analysis Recommendation:

• Integrate low-stress, high-support assessment into remediation tools (untimed, mastery-based)
• Design intervention interfaces for psychological safety (growth mindset messaging, effort recognition, privacy)
• Include anxiety assessment and monitoring alongside progress monitoring
• Provide teacher professional development on math anxiety management

Gap 5: Poor Math-Specific Assistive Technology

Problem: While reading disabilities have extensive AT support (text-to-speech, dyslexic fonts, reading pens), math AT is minimal and underdeveloped.

Manifestation:

• Calculators for computation but minimal other tools
• No accessible equation editors or symbolic math tools
• Limited speech-to-text for showing mathematical work
• Graphing technology often inaccessible for students with spatial difficulties
• No AT specifically designed for dyscalculia (vs. general accessibility features)

Impact:

• Students with dyscalculia cannot independently solve complex problems
• High-stakes testing accommodations limited to time and reduced items
• Career pathways in STEM appear closed due to lack of AT support

Gap Analysis Recommendation:

• Develop dyscalculia-specific AT standards (similar to dyslexia standards)
• Design accessible equation editors and symbolic notation tools
• Create math-specific speech-to-text for problem-solving
• Develop alternative representations for spatial/geometric math

Gap 6: Fragmented Tool Ecosystem

Problem: Tools, programs, and platforms don't interoperate; schools must manually import/export data and reconcile progress across systems.

Manifestation:

• Classroom math curriculum separate from special education intervention programs
• Progress monitoring data exists in multiple systems with no unified view
• IEP goals documented in one system; data in another
• Manipulative tracking, assessment, and instruction disconnected
• No standard data exchange format for dyscalculia assessment

Impact:

• Teachers lack unified view of student progress across settings
• Data entry burden reduces likelihood of consistent progress monitoring
• Discontinuity in instruction due to incomplete information sharing
• Limited research on intervention effectiveness due to fragmented data

Gap Analysis Recommendation:

• Develop interoperability standards for dyscalculia data (assessment, progress, IEP, classroom performance)
• Create data exchange protocols (API specifications for assessment platforms)
• Build unified dashboards for multi-source data integration
• Establish common terminology and coding schemes

Gap 7: Disconnected Progress Monitoring

Problem: Progress monitoring is inconsistently implemented; schools often rely on quarterly assessments rather than responsive, data-based decision-making.

Manifestation:

• Progress monitoring data collected infrequently (quarterly or annual)
• No protocol for responding to inadequate progress
• Decisions to continue/modify interventions based on informal observation rather than data
• Data entry burden prevents real-time analysis and feedback
• Teachers untrained in interpreting progress monitoring data

Impact:

• Students in ineffective interventions continue for months without adjustment
• High-responders to intervention not advanced to next level
• Low-responders not identified early for more intensive support
• Intervention effectiveness difficult to establish due to weak progress monitoring

Gap Analysis Recommendation:

• Establish progress monitoring standards for dyscalculia (weekly minimum; multiple measures)
• Develop decision rules (if progress < X, then adjust intervention)
• Create automated progress monitoring systems with decision support
• Train teachers on data interpretation and responsive instruction
• Build feedback loops to modify instruction in real-time based on progress data

Gap 8: Teacher Implementation Support Gap

Problem: Teachers lack training, resources, and ongoing support to implement evidence-based dyscalculia instruction effectively.

Manifestation:

• Minimal teacher training on CRA methodology, number sense, dyscalculia characteristics
• Limited curriculum resources aligned with CRA approach
• Insufficient manipulative availability in many classrooms
• No coaching or mentoring for teachers implementing new programs
• Unclear implementation fidelity standards (how much does implementation vary?)
• Teacher confidence in dyscalculia instruction often low

Impact:

• Programs implemented with low fidelity; outcomes poor
• Teachers feel unsupported; burnout and continued use of ineffective approaches
• Student outcomes vary widely by teacher expertise
• Difficulty scaling effective interventions due to training burden

Gap Analysis Recommendation:

• Develop comprehensive teacher training modules on dyscalculia and CRA
• Create implementation guides with fidelity checklists
• Provide ongoing coaching and professional learning communities
• Develop resource libraries for CRA-aligned manipulatives and lessons
• Establish teacher certification pathway for dyscalculia specialists

Gap 9: Cross-Linguistic Assessment Tool Availability

Problem: Dominant dyscalculia assessment instruments (KeyMath-3, TEMA-3, WRAT-5) are normed on English-speaking populations and cannot be validly applied to French or Spanish learners. French- and Spanish-normed instruments exist but are under-known by international practitioners and under-integrated in EdTech.

Assessment tool gap by locale:

Manifestation:

• Practitioners cross-using assessments without locale-appropriate norms (e.g. KeyMath-3 with a French-speaking student) → invalid scores
• EdTech platforms default to English-normed thresholds for diagnostic claims
• Internationally-mobile families struggle to find assessments valid in their new country

Gap Analysis Recommendation:

• Cross-Linguistic Math Assessment Tool Selector (locale-aware practitioner guide)
• International equivalency matrix mapping FR/ES instruments to US references
• EdTech locale-awareness scorecards including assessment validity claims

Gap 10: French Number-Word Irregularity Impact Not Quantified in Intervention Tools

Problem: French has uniquely irregular number-words in the 60-99 range (soixante-dix, quatre-vingts, quatre-vingt-dix). This imposes substantial extra transcoding load on dyscalculic French learners — load not present in English or Spanish. Yet most digital dyscalculia tools either ignore the issue or apply English-centric models.

Manifestation:

• French-language dyscalculia apps that don't measure or train transcoding in the 60-99 range
• Fluency benchmarks imported from English without adjustment for French complexity
• Cross-linguistic studies treat "number-word retrieval" as a uniform skill across languages

Gap Analysis Recommendation:

• French Number-Word Transcoding Intervention Module (digital tool spec)
• French-specific fluency norms accounting for 60-99 lexical complexity
• Belgian/Swiss French (septante/huitante/nonante) regular-form exposure as a meta-cognitive bridge

Gap 11: Spanish Fluency-First Intervention Tools Underdeveloped

Problem: Spanish has a transparent base-10 system (-enta suffix). Dyscalculic Spanish-speaking learners typically present with fluency deficits, not accuracy deficits. Most digital dyscalculia tools target accuracy first (English/French model), leaving Spanish learners under-served on the fluency dimension that matters most for them.

Manifestation:

• Spanish dyscalculia apps that drill accuracy when fluency is the bottleneck
• PAU exam accommodations focused on accuracy when extended time for fluency is what's needed (RD 534/2024 now forbids any adaptation lowering the grade, which removes one excuse for accuracy-only designs)
• Smartick (the dominant Spanish adaptive math platform) is fluency-aware but few specialized dyscalculia-focused alternatives exist

Gap Analysis Recommendation:

• Spanish Reading/Math Fluency Goal Bank (operations-per-minute targets by grade)
• Fluency-First Intervention Framework for transparent orthographies (transferable to Italian, Portuguese)
• Spanish dyscalculia-specific adaptive practice tools building on Smartick patterns

Gap 12: Cross-Jurisdiction Plan Portability for Internationally Mobile Families

Problem: Families who relocate between countries (US expats in France, French families in Spain, etc.) have no systematic guide for translating their child's existing math accommodation plan to the new jurisdiction. The 504 → PAP, IEP → PPS, ACNS → 504 translations are nontrivial and currently navigated independently.

Manifestation:

• Families re-establishing accommodations from scratch in new country
• Calculator-authorization status lost during transition
• Assessment-pathway mismatch (US schools want IDEA evaluations; French schools want bilan orthophonique)
• Workplace adults: ADA Title I → RQTH → certificado de discapacidad transitions opaque

Gap Analysis Recommendation:

• International DYS Plan Portability Guide (specifically math-accommodation focus)
• Assessment Translation Matrix (which results are portable, which need re-administration)
• Adult Workplace Disability Status Portability Map (ADA / RQTH / RDL 1/2013)

Cross-Linguistic Gap Analysis

When conducting gap analysis across locales (US, FR, ES), apply this extended workflow on top of the base Gap Analysis Process below.

Cross-Linguistic Scope Questions

• Number-word morphology: How regular is the target language's number system in the 20-99 range? (English: mostly regular with thirteen-fifteen exceptions; French: highly irregular 60-99; Spanish: fully transparent -enta suffix.)
• Primary deficit pattern: Which deficit dominates in this locale's dyscalculic population? (US: mixed; FR: transcoding + computation; ES: fluency.)
• Assessment norm availability: Are validated, locally-normed math batteries available?
• Intervention program availability: Are evidence-based intervention programs available in the target language?
• Professional delivery model: Who delivers intervention? (US: math interventionist; FR: orthophoniste, ~1-2x/week; ES: maestro/a de PT, in-school.)
• Legal framework adequacy: Calculator-policy generosity varies (FR most generous: the circulaire du 6 février 2023 names a calculatrice simple non programmable for dyscalculic candidates even where calculators are banned; US most restrictive in classroom; ES somewhere between).

Cross-Linguistic Comparison Matrix

When evaluating a dyscalculia tool/program across locales:

Known Locale-Specific Gaps

France-specific:

• No widely-adopted DIBELS-Math equivalent with French norms
• TEDI-MATH Grands (secondary version) is less widely used than TEDI-MATH primary
• French number-word irregularity training tools are scarce
• Bilan orthophonique 1-2x/week intensity is below research-supported levels for severe dyscalculia

Spain-specific:

• No nationally standardized fluency norms for Spanish-language math facts
• Discalculia-specific tools less developed than dyslexia tools (PROCALCULO good but limited ecosystem)
• Bilingual region (Cataluña, País Vasco, Galicia, Valencia) tools are scarce; Castilian-only is the default
• Adult-normed Spanish-language math batteries are limited

Cross-locale:

• No protocol for translating IEP / PAP / ACNS during international moves
• No consensus on adult dyscalculia assessment in any of the three locales
• No standardized portability of workplace disability status across ADA / RQTH / RDL 1/2013

Gap Analysis Process

Step 1: Define Audit Scope

• What are you assessing? (Tool, curriculum, program, school system, etc.)
• What domain(s)? (Instruction, assessment, AT, professional development, etc.)
• What standards will you apply? (CRA fidelity, NCTM, IDEA compliance, UDL, etc.)
• What questions will guide the audit? (Is CRA implemented? Is progress monitoring adequate? Are accommodations provided?)

Step 2: Conduct Content/Program Audit

Use the Dyscalculia-Friendly Content Audit Checklist (below) to evaluate the program across dimensions.

Step 3: Apply Dyscalculia UX Heuristics

Evaluate the tool/program for usability and accessibility specific to dyscalculia using heuristics adapted from Nielsen's 10.

Step 4: Identify Gaps

For each standard or heuristic not met, document:

• Which gap(s) from the Eight Critical Gaps does it map to?
• Severity (Critical, High, Medium, Low)
• Impact on student outcomes

Step 5: Specify Remediation

For each gap, design a solution:

• What would excellent in this area look like?
• What resources/effort are needed?
• What timeline is realistic?
• How will you know when the gap is addressed?

Step 6: Prioritize

With stakeholders, prioritize gaps by:

• Severity and impact
• Effort and resources required
• Feasibility and timeline
• Strategic alignment

Dyscalculia-Friendly Content Audit Checklist

Use this checklist to evaluate any math instructional content, tool, or program for dyscalculia-friendliness.

Foundational Number Sense

• Explicit subitizing instruction and practice (quantities 1-5)
• Magnitude comparison activities (which is more? by how much?)
• Quantity visualization exercises (imagine 7 pennies)
• Counting and cardinality emphasis (last count = quantity)
• Part-whole relationships explored (decomposition, composition)
• Finger gnosia and finger-counting supported as valid strategy
• Number line as central representation tool
• Rekenrek or similar structure-based counting tool featured

Concrete-Representational-Abstract Progression

• Concrete stage: Physical manipulatives (blocks, counters, beads, objects) explicitly used
• Concrete stage: Multiple lessons per concept; mastery demonstrated before transition
• Representational stage: Pictorial models, diagrams, sketches bridge concrete and abstract
• Representational stage: Gradual reduction of manipulative support as representational competency grows
• Abstract stage: Symbolic/procedural work only after solid representational competency
• Progression pacing is flexible and student-determined, not grade-level bound
• Materials exist for all three stages of each concept taught

Multisensory Instruction

• Tactile: Manipulatives with varied textures (sandpaper, beads, blocks, etc.)
• Kinesthetic: Movement-based activities (walking number lines, body-based magnitude estimation)
• Visual: High-contrast, clear numerals; color-coded place value; animated representations
• Auditory: Counting chants, rhythm-based practice, verbal skip counting
• Proprioceptive: Weighted manipulatives, pressure-based number exploration
• Sensory redundancy: Same concept explored through multiple senses in each lesson

Computation Instruction

• Conceptual understanding of operations emphasized before procedural practice
• Operations taught with manipulatives first (concrete understanding)
• Varied algorithms presented; students choose efficient strategies
• Error analysis used to diagnose conceptual misunderstandings
• Multi-step processes (regrouping, borrowing) explained with concrete models
• Fact fluency NOT emphasized via isolated drill; connected to conceptual understanding

Problem Solving and Math Reasoning

• Word problems presented with visual support (pictures, manipulative models)
• Problem structure made explicit (what do we know? what are we finding?)
• Multiple solution strategies modeled and discussed
• Students explain their reasoning (verbally or written)
• "Talking math" (mathematical language) explicitly taught
• Reasoning before answering valued (not speed)

Assessment and Progress Monitoring

• Progress monitored on number sense fundamentals, not just computation speed
• Subitizing and magnitude comparison progress tracked
• Conceptual understanding assessed alongside procedural fluency
• Formative assessment frequent (weekly minimum for intensive instruction)
• Data-based decision rules trigger intervention adjustments
• Student self-monitoring and goal-setting encouraged
• Assessment low-stress and untimed (unless fluency specifically targeted)

Accommodations and Accessibility

• Manipulatives available for all instruction and practice (never denied as "too advanced")
• Calculator available for computation-heavy work
• Extended time provided for problem-solving and assessment
• Problems presented in simplified language; numbers and operation highlighted
• Graph paper and visual templates provided for written work
• Visual supports (place value charts, operation cards, reference sheets) available
• Alternative response formats supported (verbal, selected response, drawn representations)
• Color, contrast, font, and layout optimized for visual clarity

Math Anxiety Management

• Low-pressure, safe learning environment emphasized (errors are learning)
• Growth mindset messaging embedded ("effort improves ability")
• Positive reinforcement for effort and strategy use
• Speed/fluency NOT emphasized early; understanding valued
• Private assessment and feedback (not public performance testing)
• Student autonomy and choice in tasks/manipulatives offered
• Anxiety explicitly addressed and normalized

Comorbidity Considerations

• If combined with dyslexia: Multisensory numeral formation instruction; auditory counting support
• If combined with ADHD: Shorter tasks, movement breaks, external organization supports
• If combined with dysgraphia: Verbal response and gesture options; typed output accepted
• If combined with spatial deficits: Enhanced visual clarity; structured place value models
• Screening/monitoring for comorbid conditions built into program

Professional Support and Training

• Teacher guidance on dyscalculia characteristics and needs provided
• CRA methodology explicitly explained with examples
• Implementation fidelity checklist or rubric provided
• Lesson plans demonstrate CRA progression
• Professional development resources or training offered
• Coaching or mentoring support available
• Example student work and error analysis provided

Dyscalculia UX Heuristics

Adapted from Nielsen's 10 Usability Heuristics, these heuristics evaluate tools and platforms for dyscalculia-specific usability and accessibility.

1. System Visibility and Navigability

Heuristic: The system should keep dyscalculic users informed through clear, unambiguous feedback and navigation.

Criteria:

• Numerals are large (minimum 16pt), high-contrast, sans-serif font
• Math symbols are clear and consistently sized
• Manipulation feedback is immediate (blocks move when clicked, numbers update)
• Progress toward goals is visible (progress bar, mastery checklist)
• Current location in lesson/lesson sequence is always clear
• Navigation buttons are large and clearly labeled
• Error messages are specific and actionable ("You entered 32; that's not a valid digit; please try again")

Dyscalculia Consideration: Working memory limitations mean visual clarity and immediate feedback are critical.

2. Concrete-Representational-Abstract Alignment

Heuristic: The system should progress through CRA stages systematically and not skip or abbreviate the concrete stage.

Criteria:

• Concrete stage (manipulatives) available and required for all foundational concepts
• Representational stage (pictures/diagrams) available before abstract (symbols)
• Stage progression explicit in design (labeled tabs or sections for "Using Blocks," "Drawing Blocks," "Writing Numbers")
• Mastery gates prevent advancement to next stage without demonstrated competency
• Return to concrete stage is always available (no "you've mastered this, no more blocks")
• Stage duration is flexible and responsive to student performance

Dyscalculia Consideration: Premature advancement to abstract is the primary cause of intervention failure.

3. Multisensory Input and Output

Heuristic: The system should engage multiple sensory modalities to support diverse neural pathways.

Criteria:

• Visual input: Clear colors, shapes, spatial arrangements of quantities
• Auditory input: Sound effects for manipulations, counting chants, verbal feedback
• Tactile/kinesthetic options: Haptic feedback on tablet/touch device, or suggestions for physical manipulative use
• Proprioceptive options: Weighted objects, movement activities suggested
• Color not sole encoding mechanism (dyscalculic students may have color perception issues)
• Animations smooth and not distracting (no flashing, spinning that increases cognitive load)

Dyscalculia Consideration: Single-modality instruction (e.g., abstract symbols only) often fails; multisensory redundancy strengthens encoding.

4. Matching System and Real World

Heuristic: The system should connect to real-world math and manipulatives students encounter.

Criteria:

• Digital manipulatives match physical classroom manipulatives (same base-10 blocks design, same Rekenrek layout)
• Real-world contexts for problem solving (money, measurement, time, familiar objects)
• Transitions between physical and digital manipulatives are smooth and explained
• Student can use physical manipulatives while using digital tool if desired
• Vocabulary matches classroom and real-world math language

Dyscalculia Consideration: Dyscalculic students struggle with transfer/generalization; explicit connections reduce this gap.

5. Number Sense Priority

Heuristic: The system should prioritize foundational number sense before computation.

Criteria:

• Subitizing instruction and practice appears early and frequently
• Magnitude comparison activities integrated throughout
• Counting and cardinality skills explicitly taught and monitored
• Part-whole relationships explored before operations
• Fact families and operation relationships (e.g., 5+3=8, 8-3=5) taught with concrete models
• Computation emerges from number sense, not drill

Dyscalculia Consideration: Weak number sense is the core deficit; tools often skip this to focus on computation, perpetuating cycles of failure.

6. Math Anxiety Support

Heuristic: The system should minimize anxiety and maximize psychological safety.

Criteria:

• No time pressure (untimed completion emphasized)
• Errors framed as learning opportunities ("That's a great try! Let's think through this together")
• Positive reinforcement for effort and persistence
• Private, non-competitive assessment
• Student choice in order of problems, manipulatives to use, visualization type
• Anxiety assessment integrated (student self-report on comfort level)
• Low frustration tolerance accommodated (shorter task lengths, frequent breaks)

Dyscalculia Consideration: Math anxiety significantly impairs performance; addressing it is as important as teaching algorithms.

7. Accessibility and Accommodation

Heuristic: The system should provide accommodations without reducing conceptual demands.

Criteria:

• Keyboard navigation available (not mouse-dependent)
• Screen reader compatibility (for students with visual impairment or dyslexia affecting numeral recognition)
• Calculator available (assessment of reasoning, not computation)
• Extended time built in (untimed by default)
• Large print, high-contrast display options
• Reduced visual clutter; one problem per screen
• Vocabulary appropriate to student reading level (simplified, not dummified)
• Alternative response formats (vocal, selected, drawn)

Dyscalculia Consideration: Accommodations must not reduce mathematical rigor; a calculator assessment of problem-solving ability is valid.

8. Progress Monitoring Transparency

Heuristic: The system should make progress visible and actionable.

Criteria:

• Student progress tracked across multiple measures (not just accuracy)
• Trend data displayed visually (graphs, charts)
• Subitizing fluency, magnitude understanding, computation accuracy all visible
• Data available in real-time (not delayed reports)
• Teacher dashboard shows progress across students
• Automated alerts when progress is insufficient (triggers intervention adjustment)
• Student can see own progress and goals

Dyscalculia Consideration: Without clear progress monitoring, ineffective interventions continue too long.

9. Teacher Support and Implementation Guidance

Heuristic: The system should support teachers to implement with fidelity.

Criteria:

• CRA methodology explained in teacher guide
• Lesson plans demonstrate concrete→representational→abstract progression
• Example manipulative use shown (photos, videos)
• Common errors and misconceptions explained
• Coaching or PD resources available
• Implementation fidelity rubric or checklist provided
• Evidence of effectiveness cited
• Troubleshooting guide for common implementation challenges

Dyscalculia Consideration: Teacher implementation quality is the biggest determinant of student outcomes; support matters.

10. System Reliability and Consistency

Heuristic: The system should function reliably and provide consistent experiences across tasks.

Criteria:

• Zero crashes during instruction or assessment
• Manipulative responses consistent (blocks always move same way, always respond to input)
• Numerals, symbols, layouts consistent across lessons
• Rules of operations consistent
• Feedback consistent (same type of error always gets same feedback)
• Data saves reliably and is recoverable
• Offline functionality available (if internet-dependent)

Dyscalculia Consideration: Unpredictable system behavior increases frustration and anxiety.

New Measure Specification Template

If existing measures don't meet dyscalculia assessment needs, use this template to specify a new assessment measure.

NEW MEASURE SPECIFICATION

Measure Name: [E.g., "Rapid Subitizing Fluency Probe"]

Purpose: [What is this measure designed to assess?]

Target Construct: [Number sense / Computation / Fluency / Reasoning / etc.]

Grade Range: [K-2 / 2-4 / 4-6 / etc.]

Administration Time: [Minutes]

Format: [Multiple choice / Constructed response / Performance / Probe / etc.]

Stimulus Examples:

• [Sample item 1]
• [Sample item 2]
• [Sample item 3]

Scoring Rubric:

• [Scoring rules; point values]
• [Example scored response]

Technical Properties:

• Reliability: [Planned or existing evidence; test-retest, internal consistency]
• Validity: [Evidence for measuring intended construct]
• Sensitivity: [Ability to detect improvement over short periods]
• Benchmark Performance: [Expected performance by grade, time of year]

Interpretation Guidelines:

• Below grade level: [Score range and interpretation]
• Grade level: [Score range and interpretation]
• Above grade level: [Score range and interpretation]

Accommodation Considerations:

• Extended time impact: [Does extended time change score interpretation?]
• Manipulative use impact: [If test includes manipulatives, note any scoring implications]
• Read-aloud impact: [If test involves word problems]

Advantages Over Existing Measures:

• [Specific strength related to dyscalculia assessment]
• [Implementation advantage]
• [Cost/accessibility advantage]

Limitations:

• [Known constraints or appropriate contexts for use]

Gap Analysis Report Template

Summarize gap analysis findings using this format:

GAP ANALYSIS REPORT: [Project/Tool/Program Name]

Date: [Date] | Analyst: [Name] | Scope: [What was analyzed]

Executive Summary

[2-3 sentence summary of major gaps identified and recommendations]

Gaps Identified

Remediation Roadmap

Quick Wins (1-4 weeks, small effort):

• [Action]
• [Action]

Medium-Term Improvements (1-3 months, medium effort):

• [Action]
• [Action]

Long-Term Strategic Work (3-12 months, large effort):

• [Action]
• [Action]

Resource Estimates

Success Criteria

How will you know when each gap is addressed?

• [Gap 1]: [Measurable criterion]
• [Gap 2]: [Measurable criterion]