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Mathematical Science Occupations, All Other

SOC 15-2099.00Job Zone 4 · Considerable PreparationSibling-inferredv.26.05

Context coveredThis framework covers mathematical science professionals applying computational, analytical, and problem-solving competencies across enterprise IT, business analytics, research, and government environments requiring considerable academic and experiential preparation.

Sources:O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.SkillsCrosswalkSkillsCrosswalk — O*NET enrichment + adjacency index. Opens in new tab.
Emerging
Entry / Apprentice
  1. Computer programs and systems — test and monitor under direct supervision following established protocols in an office or lab environment.
  2. Program malfunctions — recognize and document initial symptoms using standard diagnostic checklists on enterprise software platforms.
  3. Staff and end-users — assist with basic computer-related problems by following scripted troubleshooting guides in a support-desk setting.
  4. Database management software — execute routine queries and generate pre-defined reports under senior staff guidance in a business analytics context.
  5. Technical documentation — read and interpret system manuals and procedure guides to support assigned tasks in a mathematical or computational role.
  6. Business problem data — enter, organize, and perform basic analysis using spreadsheet or database tools under direction in a professional services environment.
  7. Web platform development software — perform minor updates and configuration tasks following detailed specifications provided by senior practitioners.
  8. Critical thinking skills — apply structured reasoning to identify likely causes of routine system errors under close supervision in a computing environment.
  9. Cloud-based management software — navigate administrative dashboards and log operational data as directed by lead analysts in a managed-services context.
  10. Written findings — compile brief status reports on system tests and user issues using approved templates in a corporate or government office setting.
Developing
Mid-level / Established
  1. Program and system malfunctions — troubleshoot and resolve common failures with reduced oversight by applying learned diagnostic methods in an enterprise IT environment.
  2. End-user support requests — triage, prioritize, and resolve computer-related problems independently, escalating only complex cases in a mid-sized organizational setting.
  3. Computer installation projects — coordinate and test software installations across departmental systems, ensuring compatibility and minimal downtime in a business environment.
  4. Business problem analysis — apply quantitative and mathematical methods to develop solutions for recurring operational challenges in a professional services or government context.
  5. Database user interfaces — design and refine queries to extract actionable insights, adapting to evolving data structures in a production database environment.
  6. System monitoring routines — maintain scheduled checks and automate alerts for program performance metrics in a cloud-based infrastructure setting.
  7. Technical reports and documentation — author clear written analyses of system behavior and solution outcomes for non-technical stakeholders in a corporate environment.
  8. Active learning practices — evaluate emerging software tools and apply relevant techniques to improve team workflows in a mathematical science or analytics role.
  9. Graphics and document management software — produce and maintain visual and digital deliverables supporting analytical projects in a collaborative office environment.
  10. Judgment and decision-making skills — assess risk and select among competing technical approaches for familiar problem types in a regulated industry setting.
Proficient
Senior / Expert IC
  1. Complex program and system malfunctions — diagnose and resolve non-routine failures autonomously, spanning multiple interdependent platforms in a large enterprise or research environment.
  2. Integrated production and business systems — design and implement mathematical models that drive cross-functional business decisions in a data-intensive organizational context.
  3. Full-scope system testing and monitoring — develop and execute comprehensive test plans, interpret results, and recommend architectural improvements in a production computing environment.
  4. Staff and user problem resolution — handle escalated, ambiguous computer-related issues, applying advanced critical thinking and domain expertise in a complex organizational setting.
  5. Database and data management architecture — evaluate and optimize database management systems for performance, security, and scalability in a cloud or hybrid infrastructure.
  6. Inductive and deductive reasoning — synthesize incomplete or contradictory data to construct valid analytical conclusions for high-stakes business or government projects.
  7. Web platform development software — lead configuration and customization of web-based analytical tools to meet specialized mathematical science requirements in a professional environment.
  8. Cross-functional communication — translate complex quantitative findings into clear oral and written presentations for executive and non-specialist audiences in a corporate or agency setting.
  9. Active learning and continuous improvement — independently evaluate and integrate new mathematical and computational techniques into existing workflows across a full project lifecycle.
  10. Cautiousness and integrity in practice — apply rigorous validation and ethical judgment to ensure accuracy and trustworthiness of analytical outputs in high-consequence decision environments.
Advanced
Lead / Principal / Executive
  1. Organizational technology strategy — set direction for enterprise-wide program and system reliability standards, aligning mathematical science capabilities with long-term business goals.
  2. Analytical solution frameworks — lead the design of scalable, integrated mathematical and computational systems that address novel, organization-level business challenges in complex environments.
  3. Practitioner development — mentor and evaluate junior and mid-level staff on troubleshooting methodologies, analytical rigor, and professional standards across a mathematical science function.
  4. Enterprise knowledge architecture — govern the selection, implementation, and lifecycle management of database management and cloud-based software platforms at organizational scale.
  5. Innovation culture — champion adoption of emerging computational tools and mathematical techniques, establishing research agendas that position the organization at the forefront of the field.
  6. Executive decision support — synthesize outputs from multiple analytical teams into authoritative recommendations, directly informing C-suite or agency leadership on mission-critical issues.
  7. Cross-organizational collaboration — build and lead partnerships with external institutions, vendors, and regulatory bodies to advance shared mathematical and technological objectives.
  8. Competency framework governance — define and continuously update the standards, tools, and training pathways that shape mathematical science practice across the organization.
  9. Risk and quality assurance leadership — establish enterprise-level validation protocols, intellectual integrity standards, and audit mechanisms for all computational and analytical outputs.
  10. Strategic communication — represent the organization's mathematical science capabilities to external stakeholders, policymakers, and professional bodies, shaping industry-wide standards and expectations.

AI-at-Work Competency Framework

Sources:Anthropic Economic IndexAnthropic Economic Index — release_2026_03_24. Opens in new tab.Jadhav & Danve, 2026Skill Automation Feasibility Index — Jadhav & Danve, 2026 (arXiv:2604.06906). Opens in new tab.WEF Skills TaxonomyWEF Skills Taxonomy 2021 — Building a Common Language for Skills at Work. Opens in new tab.
Subscriber feature

Authoritative source data identified for 998 occupations

How a worker at each mastery level uses, directs, and evaluates AI tools in this occupation. Each statement cites its evidence inline; click a citation chip to verify the source.

Emerging
  1. AI-assisted problem lookup — uses LLM chat tools to retrieve explanations of mathematical concepts and error messages, cross-checking results against documentation before applying them to live systems.
  2. Routine query drafting — submits well-scoped, single-step analytical questions to an AI assistant to accelerate initial research on business problem formulations, while validating outputs manually.
Developing
  1. Diagnostic delegation — hands off structured system malfunction descriptions to an AI assistant to generate candidate root causes, then applies critical thinking to triage and test each hypothesis before acting Jadhav & Danve, 2026Skill Automation Feasibility Index — Jadhav & Danve, 2026 (arXiv:2604.06906). Opens in new tab..
  2. Program test scaffolding — directs an AI tool to draft unit test cases for well-specified computational modules, reviewing generated logic against system requirements before integration.
  3. Mathematical model narration — instructs an AI assistant to translate quantitative findings into plain-language summaries for stakeholder reports, editing the output for domain accuracy.
Proficient
  1. Complex problem decomposition — breaks multi-variable business problems into sub-tasks and assigns tractable components to an AI reasoning agent, retaining authorship of the problem framing and solution architecture Jadhav & Danve, 2026Skill Automation Feasibility Index — Jadhav & Danve, 2026 (arXiv:2604.06906). Opens in new tab. WEF Skills TaxonomyWEF Skills Taxonomy 2021 — Building a Common Language for Skills at Work. Opens in new tab..
  2. Integrated production analysis — orchestrates an AI pipeline to process datasets, generate preliminary production models, and flag anomalies, then applies domain judgment to interpret and act on results WEF Skills TaxonomyWEF Skills Taxonomy 2021 — Building a Common Language for Skills at Work. Opens in new tab..
  3. Cross-system troubleshooting — directs an AI assistant through iterative diagnosis of program and system malfunctions, evaluating each proposed fix against test criteria and system logs before deployment Jadhav & Danve, 2026Skill Automation Feasibility Index — Jadhav & Danve, 2026 (arXiv:2604.06906). Opens in new tab..
  4. Decision-quality filtering — evaluates AI-generated analytical outputs against mathematical correctness and business context, exercising judgment to accept, revise, or reject recommendations before presenting to stakeholders Jadhav & Danve, 2026Skill Automation Feasibility Index — Jadhav & Danve, 2026 (arXiv:2604.06906). Opens in new tab..
Advanced
  1. AI workflow architecture — designs multi-step AI agent pipelines that automate data ingestion, mathematical modeling, and anomaly reporting for enterprise systems, setting evaluation criteria and override conditions at each stage WEF Skills TaxonomyWEF Skills Taxonomy 2021 — Building a Common Language for Skills at Work. Opens in new tab..
  2. Automation boundary governance — assesses which critical-thinking-intensive analytical tasks remain human-led versus AI-executable, establishing formal handoff protocols and audit trails that align with organizational risk tolerance Jadhav & Danve, 2026Skill Automation Feasibility Index — Jadhav & Danve, 2026 (arXiv:2604.06906). Opens in new tab. WEF Skills TaxonomyWEF Skills Taxonomy 2021 — Building a Common Language for Skills at Work. Opens in new tab..
  3. Model validation leadership — leads peer review of AI-generated mathematical solutions and system recommendations, codifying domain-specific acceptance standards that junior practitioners use to calibrate their own AI interactions Jadhav & Danve, 2026Skill Automation Feasibility Index — Jadhav & Danve, 2026 (arXiv:2604.06906). Opens in new tab..
Evidence pack
SAFI positioning
Top skill: Critical Thinking
Score: 57.9 / 100
precision: category_estimate
WEF cluster
Artificial Intelligence
artificial_intelligence
Sources:Jadhav & Danve, 2026Skill Automation Feasibility Index — Jadhav & Danve, 2026 (arXiv:2604.06906). Opens in new tab.WEF Skills TaxonomyWEF Skills Taxonomy 2021 — Building a Common Language for Skills at Work. Opens in new tab.

Pathsmith Durable Skills Framework

Sources:Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Subscriber feature

Ten durable-skill domains mapped to four proficiency/role levels for each occupation. Each statement is aligned to the Pathsmith taxonomy, derived from trusted grounding data and mapped to occupation-specific O*NET tasks and skills.

1Communication11 statements
Emerging
  1. Mathematical findings summary — translates basic quantitative results into plain-language reports for non-technical stakeholders in entry-level project settings Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Problem documentation — records computer system malfunctions and mathematical analysis steps in structured written logs during troubleshooting tasks O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Developing
  1. Technical report writing — composes clear written analyses of mathematical models and computational findings for cross-functional audiences with growing independence Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. User assistance communication — explains computer-related problem resolutions to staff using accessible, jargon-free language during support interactions O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Stakeholder briefing — presents intermediate-level quantitative analysis results verbally to business teams, adjusting technical depth to audience expertise Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Applying
  1. Analytical narrative construction — authors comprehensive reports that integrate mathematical conclusions, data assumptions, and business implications for decision-makers in standard project environments Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Cross-disciplinary explanation — translates complex mathematical modeling outcomes into actionable insights during engineering and technology project reviews O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Active listening in requirements gathering — elicits precise problem parameters from business clients through structured questioning during analytical scoping sessions Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Exceeding
  1. Executive-level mathematical communication — crafts and delivers authoritative presentations of integrated production and optimization models that drive strategic business decisions Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Documentation standards leadership — establishes organizational templates and communication protocols for mathematical analysis deliverables across multiple project teams Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Cross-functional translation mastery — synthesizes findings from mathematics, engineering, and computing domains into unified communications that align diverse stakeholder groups O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
2Leadership10 statements
Emerging
  1. Initiative in problem identification — independently flags mathematical or computational anomalies during system monitoring tasks before being directed to act Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Peer guidance — assists colleagues with basic mathematical software tools and program usage during collaborative analysis projects Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Developing
  1. Project ownership — takes responsibility for end-to-end execution of a defined mathematical analysis or system testing assignment with limited supervision Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Junior staff mentoring — guides entry-level analysts through structured problem-solving workflows for computer-based mathematical tasks Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Applying
  1. Analysis team coordination — directs the workflow of a small mathematical science team through problem decomposition, task assignment, and progress monitoring on business optimization projects Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Decision accountability — assumes responsibility for the validity and consequences of mathematical modeling choices that inform business solutions Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Process improvement leadership — leads adoption of updated computational methods or mathematical frameworks within an existing analytical team O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Exceeding
  1. Organizational analytical vision — establishes the strategic direction for mathematical science capabilities within a department, aligning quantitative methods to long-term business goals Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Talent development leadership — designs mentorship and training pathways that grow mathematical and computational competency across an organization Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Cross-departmental influence — leads interdisciplinary initiatives that integrate mathematical modeling with engineering and technology functions to solve enterprise-level problems O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
3Metacognition10 statements
Emerging
  1. Learning gap recognition — identifies personal knowledge deficits in specific mathematical or computational areas and seeks targeted resources to address them Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Solution reflection — reviews own problem-solving steps after completing a mathematical analysis to identify errors and inefficiencies Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Developing
  1. Strategy selection awareness — consciously evaluates which mathematical technique or computational approach best fits a given problem type before beginning analysis Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Progress self-monitoring — tracks personal advancement on complex mathematical projects, adjusting effort allocation when intermediate results deviate from expectations Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Applying
  1. Cognitive load management — structures complex multi-step mathematical problems into manageable components to maintain analytical accuracy under project time constraints Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Assumption auditing — systematically reviews own modeling assumptions before delivering results, distinguishing between conclusions supported by data and those inferred from prior beliefs Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Learning strategy calibration — selects and adjusts self-study methods when acquiring new mathematical or computational techniques based on feedback from applied results Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Exceeding
  1. Epistemic humility in high-stakes analysis — models transparent self-assessment of analytical limitations for team members when presenting results to executive audiences Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Metacognitive coaching — teaches mathematical science colleagues formal strategies for monitoring their own reasoning processes during ambiguous computational problem-solving Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Reflective practice institutionalization — implements structured post-project reviews that embed metacognitive habits into team analytical workflows Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
4Critical Thinking11 statements
Emerging
  1. Error pattern recognition — identifies recurring categories of mathematical computation errors or program malfunctions during routine system monitoring tasks Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Assumption identification — recognizes stated and unstated assumptions in a mathematical problem definition before beginning quantitative analysis Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Developing
  1. Evidence evaluation — assesses the reliability and completeness of input data before incorporating it into a mathematical or computational model Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Root cause analysis — traces computer program malfunctions to their underlying mathematical or logical source through systematic diagnostic reasoning O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Competing solution comparison — evaluates multiple algorithmic or mathematical approaches against defined criteria before selecting a problem-solving method Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Applying
  1. Business problem decomposition — breaks complex organizational challenges into mathematically tractable sub-problems, identifying which analytical techniques apply to each component Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Model validity critique — subjects own and others' mathematical models to rigorous logical scrutiny, identifying boundary conditions and failure modes before deployment Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Judgment under ambiguity — forms defensible quantitative recommendations when data is incomplete or contradictory during business decision-support engagements O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Exceeding
  1. Analytical framework innovation — synthesizes critical thinking across mathematics, computing, and domain knowledge to design novel problem-solving frameworks for previously unstructured business challenges Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Systemic reasoning leadership — guides teams through multi-layered critical analysis of integrated production and optimization systems, surfacing second-order consequences of mathematical decisions Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Peer review rigor — establishes and enforces critical evaluation standards for mathematical deliverables across an analytical organization Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
5Collaboration10 statements
Emerging
  1. Cross-functional participation — contributes mathematical perspective to mixed-discipline project teams while respecting engineering and technology colleagues' domain expertise Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Shared tool adoption — uses common computational platforms and documentation systems aligned with team standards during collaborative analysis work O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Developing
  1. Collaborative troubleshooting — works jointly with IT and engineering staff to diagnose and resolve computer system malfunctions that require combined mathematical and technical knowledge Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Perspective integration — incorporates business, customer service, and technical inputs from diverse team members into a unified mathematical problem framing Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Applying
  1. Interdisciplinary project execution — co-develops and delivers mathematical analysis solutions alongside engineering, business, and computer science professionals in integrated project environments Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Conflict navigation in analysis — resolves methodological disagreements with team members by presenting evidence-based comparisons of competing mathematical approaches Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Shared goal alignment — coordinates mathematical workstream deliverables with parallel project tracks to ensure integrated production models meet joint organizational objectives O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Exceeding
  1. Collaborative architecture design — co-creates organizational frameworks for how mathematical science teams interface with engineering, IT, and business management functions Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Community of practice leadership — builds and sustains collaborative networks of mathematical practitioners within and across organizations to share methodologies and tools Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Partnership brokering — forges productive working relationships between mathematical science teams and senior stakeholders to embed quantitative thinking into organizational decision processes Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
6Character11 statements
Emerging
  1. Analytical integrity — reports mathematical results accurately, including unfavorable outcomes, without distorting findings to meet expected answers Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Professional accountability — accepts responsibility for errors in computational work and initiates corrective action promptly during supervised project tasks Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Developing
  1. Ethical data handling — maintains confidentiality and appropriate use of sensitive business data throughout mathematical analysis and reporting processes Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Consistent follow-through — completes assigned mathematical analysis tasks to full specification even when portions are tedious or technically challenging Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Transparent communication of uncertainty — discloses model limitations and confidence intervals honestly when presenting mathematical findings to business stakeholders Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Applying
  1. Professional judgment under pressure — maintains methodological rigor and ethical standards when organizational pressures push toward expedient but analytically unsound conclusions Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Accountability in system stewardship — takes ownership of the accuracy and reliability of monitored computer programs and mathematical systems without requiring external oversight O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Respect for diverse expertise — acknowledges the contributions of non-mathematical collaborators and treats their domain knowledge as essential to integrated problem solutions Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Exceeding
  1. Ethical leadership in quantitative practice — models and enforces integrity standards for data use, model transparency, and result reporting across an analytical team Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Organizational trust building — consistently demonstrates reliability and honesty in high-stakes mathematical analyses, earning credibility with executive and operational stakeholders Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Professional standards advocacy — champions ethical mathematical science practices within professional communities and organizational policy development Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
7Creativity10 statements
Emerging
  1. Novel approach exploration — proposes alternative mathematical techniques for a defined problem when the standard method produces inadequate results Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Adaptive repurposing — applies a known mathematical or computational tool to a problem domain outside its original intended use Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Developing
  1. Heuristic development — constructs original approximation strategies for mathematical problems where exact analytical solutions are computationally intractable Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Visualization innovation — designs non-standard graphical representations of mathematical analysis outputs to communicate complex patterns to business audiences Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Applying
  1. Integrated solution design — creates original mathematical frameworks that combine techniques from multiple domains to solve novel business optimization problems Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Computational workaround engineering — develops creative technical solutions when standard software tools fail to accommodate the mathematical structure of a complex analytical problem O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Problem reframing — redefines an intractable business challenge in mathematical terms that unlock tractable solution pathways previously unrecognized by the project team Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Exceeding
  1. Methodological invention — develops new mathematical or algorithmic approaches that advance the state of practice for a class of business or engineering problems Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Innovation culture cultivation — creates organizational conditions that encourage mathematical scientists to experiment with unconventional techniques and share creative failures as learning assets Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Cross-domain synthesis — combines mathematical theory, computer science methods, and domain-specific knowledge into genuinely novel analytical tools that generate competitive organizational advantage Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
8Growth Mindset10 statements
Emerging
  1. Challenge acceptance — engages willingly with mathematical problems outside current competency rather than defaulting to familiar but insufficient methods Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Feedback receptivity — incorporates supervisory critiques of analytical work into revised approaches without defensive resistance Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Developing
  1. Skill gap pursuit — proactively seeks training in emerging mathematical techniques or computational tools when existing skills prove insufficient for project demands Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Persistence through complexity — sustains effort on extended mathematical derivations or system debugging tasks even when progress stalls for extended periods Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Applying
  1. Iterative improvement commitment — treats each mathematical analysis project as a source of methodological learning, systematically refining approach based on outcomes Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Constructive failure integration — extracts specific technical lessons from failed computational models and applies them to improve subsequent analytical designs Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Expanding competency boundaries — deliberately takes on assignments requiring unfamiliar mathematical domains or software environments to build professional range Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Exceeding
  1. Growth culture modeling — demonstrates visible intellectual curiosity and learning behavior that inspires mathematical science team members to embrace challenge and continuous development Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Organizational learning leadership — institutionalizes feedback loops and retrospective practices that convert project experience into lasting mathematical science capability improvements Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Field advancement engagement — actively participates in professional communities, conferences, and publications to stay at the frontier of mathematical and computational methods Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
9Mindfulness10 statements
Emerging
  1. Attentional focus maintenance — sustains concentrated attention on multi-step mathematical derivations without losing place or introducing compounding errors Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Stress recognition — notices rising frustration during intractable computational debugging and applies brief self-regulation strategies before continuing Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Developing
  1. Deliberate error checking — pauses methodically at defined checkpoints during mathematical analysis to verify intermediate results before proceeding to subsequent steps Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Emotional regulation in user support — maintains calm and patient demeanor when assisting frustrated staff with repeated computer-related problems Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Applying
  1. Present-moment diagnostic attention — applies full focused awareness to system malfunction symptoms during troubleshooting, resisting premature closure on convenient but incorrect explanations Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Intentional communication — selects words and framing consciously when presenting mathematical findings to business stakeholders, monitoring audience comprehension in real time Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Workload prioritization with awareness — assesses competing analytical demands with clear-headed intentionality, making conscious triage decisions rather than reactive task switching Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Exceeding
  1. Mindful leadership under uncertainty — models composed, deliberate decision-making for mathematical science teams when facing high-stakes analytical ambiguity or organizational pressure Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Attention culture building — introduces structured reflection and review practices into team workflows that reduce mindless procedural errors in complex mathematical computations Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Systemic awareness in analysis — maintains simultaneous awareness of detail-level mathematical precision and system-level implications throughout integrated analysis projects Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
10Fortitude10 statements
Emerging
  1. Persistence through debugging — continues methodical troubleshooting of program malfunctions across multiple failed diagnostic attempts without abandoning the analytical effort Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Ambiguity tolerance — proceeds with mathematical analysis using incomplete problem specifications rather than waiting for perfect information before beginning Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Developing
  1. Sustained effort on extended problems — maintains consistent analytical quality across long-duration mathematical modeling projects that span weeks or months without visible intermediate progress Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Recovery from invalidated models — rebuilds mathematical analysis frameworks from foundational assumptions after discovering that a prior model structure was fundamentally flawed Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Applying
  1. Resilience under analytical failure — reconstructs problem-solving approaches after complete solution pathway failures in complex business optimization engagements, maintaining professional composure Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  2. Courage in unpopular findings — presents mathematically sound conclusions that contradict stakeholder preferences or organizational assumptions without softening the analytical message Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  3. Endurance in high-stakes system monitoring — maintains vigilance and precision during extended computer system monitoring assignments where errors carry significant operational consequences O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
Exceeding
  1. Organizational resilience modeling — demonstrates sustained resolve during major project failures or analytical setbacks in ways that stabilize and motivate the broader mathematical science team Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
  2. Advocacy under resistance — persistently advances evidence-based mathematical recommendations through organizational skepticism or political resistance until findings receive appropriate consideration Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab. O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
  3. Long-horizon perseverance — leads multi-year mathematical science initiatives through repeated technical setbacks, resource constraints, and shifting organizational priorities without loss of analytical integrity Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.
Sources:Pathsmith Durable SkillsPathsmith Durable Skills Framework — America Succeeds + CompTIA. Opens in new tab.O*NET v30.2O*NET Resource Center — Occupational Information Network, v30.2 (Sept 2025). Opens in new tab.
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Source anchors that ground each statement

Related titles
Balance Engineer · Cryptanalyst · Cryptologist · Geometer · Geometrician · Harmonic Analyst · Mathematical Engineering Technician · Mathematical Scientist · Mathematics Technician · Research Analyst · Secret Code Expert · Weight Analyst
RAPIDS apprenticeships
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O*NET skills
Critical ThinkingReading ComprehensionActive ListeningComplex Problem SolvingSpeakingJudgment and Decision MakingWritingActive Learning
Knowledge domains
Computers and ElectronicsEnglish LanguageMathematicsEngineering and TechnologyCustomer and Personal ServiceAdministration and ManagementEducation and TrainingDesign
Abilities
Written ComprehensionOral ComprehensionDeductive ReasoningOral ExpressionInductive ReasoningInformation Ordering
Work styles
Attention to DetailDependabilityIntellectual CuriosityIntegrityCautiousnessInnovation
Technology
Document management softwareGraphics or photo imaging softwareWeb platform development softwareData base management system softwareData base user interface and query softwareCloud-based management software
Tasks · seed anchors for statements
  1. Troubleshoot program and system malfunctions to restore normal functioning.
  2. Provide staff and users with assistance solving computer-related problems, such as malfunctions and program pr
  3. Test, maintain, and monitor computer programs and systems, including coordinating the installation of computer
  4. Use the computer in the analysis and solution of business problems, such as development of integrated producti
CIP education codes
26.110426.119927.010127.030127.030327.030427.030527.030627.039927.999930.080130.300130.490130.5001

Sources: O*NET v30.2 (CC BY 4.0), SkillsCrosswalk.com, LER.me, Anthropic Economic Index, SAFI (Jadhav & Danve, 2026), WEF Skills Taxonomy 2021, Pathsmith Durable Skills Framework. © 2026 EBSCOed.