{"schemaVersion":"1.0","exportedAt":"2026-05-15T12:39:37.695Z","occupation":{"soc":"25-1022.00","title":"Mathematical Science Teachers, Postsecondary","group":"Educational Instruction & Library","sector":"61","jobZone":5,"jobZoneInferred":false},"framework":{"version":"v.26.05","description":"","contextCovered":"This framework covers the full instructional, curricular, assessment, and mentorship responsibilities of postsecondary mathematical science teachers across emerging through advanced career stages in university and college settings.","levels":{"emerging":{"label":"Emerging","statements":["Undergraduate course lectures — prepare and deliver introductory presentations on topics such as calculus or linear algebra under the guidance of a supervising faculty mentor in a university classroom setting.","Examination materials — compile and administer assessments for lower-division mathematics courses using departmentally approved templates and rubrics under faculty supervision.","Student work — evaluate and grade routine homework assignments and quizzes using provided answer keys and grading guidelines in a postsecondary instructional context.","Course syllabi and handouts — prepare standard course materials by adapting existing departmental templates for use in an introductory undergraduate mathematics course.","Student attendance and grade records — maintain accurate logs using university learning management systems under the procedural guidance of senior faculty.","Classroom discussions — initiate and facilitate structured student exchanges on foundational mathematical concepts by following discussion protocols established by the course coordinator.","Office hours — maintain regularly scheduled sessions to provide academic guidance to undergraduate students in a university mathematics department.","Mathematical reasoning problems — apply deductive and inductive reasoning to explain standard proof techniques to students encountering formal mathematics for the first time.","Analytical software tools — use course-approved platforms such as MATLAB or Mathematica to demonstrate mathematical concepts during scheduled laboratory or recitation sessions.","Active listening and social awareness — observe student comprehension signals during lectures and adjust pacing or examples in response, under the mentorship of experienced instructors."]},"developing":{"label":"Developing","statements":["Lecture series for undergraduate and introductory graduate courses — design and deliver coherent instructional sequences on topics such as differential equations and discrete mathematics with reduced supervisory oversight.","Examinations and assessments — compile, administer, and grade course-level evaluations independently, applying consistent grading criteria aligned with course learning objectives in a postsecondary mathematics department.","Student assignments and papers — evaluate written mathematical work with attention to rigor, notation, and logical structure across multiple course sections in a university setting.","Course materials — revise and update syllabi, problem sets, and supplementary handouts based on student performance data and emerging pedagogical best practices.","Curricula review — participate in departmental curriculum evaluation meetings, offering evidence-based suggestions for improving content sequencing and instructional methods.","Student records — manage and maintain complete and compliant attendance, grade, and advising records using university database and scheduling systems with minimal administrative support.","Classroom discussion facilitation — moderate mathematically rigorous Socratic dialogues that develop students' critical thinking and proof-writing skills in an upper-division course environment.","Complex problem-solving instruction — guide students through multi-step, non-routine mathematical problems by applying learning strategies tailored to diverse student preparation levels.","Word processing and spreadsheet software — produce professionally formatted course documents, grade books, and student progress reports independently for departmental records.","Time management planning — coordinate teaching responsibilities, office hours, grading deadlines, and research obligations across a full semester course load in a research-active university."]},"proficient":{"label":"Proficient","statements":["Graduate and upper-division undergraduate lectures — autonomously design and deliver advanced instruction on topics such as real analysis, abstract algebra, or topology, adapting content to diverse learner backgrounds in a doctoral-granting department.","Comprehensive assessment systems — independently develop, administer, and evaluate a full suite of examinations, projects, and written papers that measure both procedural fluency and mathematical reasoning in a postsecondary context.","Non-routine student work — assess and provide substantive written feedback on graduate-level proofs, theses chapters, and research expositions, applying expert judgment about mathematical validity and communication quality.","Curriculum design and revision — independently lead the planning, evaluation, and revision of course content and instructional methods for a mathematics program sequence, incorporating current disciplinary and pedagogical research.","Interdisciplinary course materials — develop innovative syllabi and handouts that integrate computational tools, real-world applications, and primary literature to enhance student engagement and disciplinary depth.","Student academic advising — provide sustained mentorship and guidance to undergraduate and graduate students during office hours and advising sessions, supporting degree planning and research development in a university mathematics department.","Classroom discourse management — facilitate high-level seminar discussions that require students to construct, critique, and refine mathematical arguments autonomously in graduate-level course environments.","Learning strategy differentiation — apply evidence-based instructional approaches to address varied levels of mathematical preparation and learning needs across a heterogeneous student population.","Analytical and scientific software integration — incorporate tools such as Mathematica, R, or Python seamlessly into course delivery and assessment to support computational mathematics pedagogy.","Systems evaluation — assess the effectiveness of instructional methods and course structures by analyzing student performance trends and implementing data-informed improvements across a full academic year."]},"advanced":{"label":"Advanced","statements":["Mathematics program curriculum — lead the comprehensive design, evaluation, and reform of undergraduate and graduate mathematics curricula at the departmental or college level, aligning content with national standards and institutional strategic goals.","Faculty instructional development — mentor junior faculty and graduate teaching assistants in evidence-based pedagogical methods, providing structured feedback on teaching practice within a university mathematics department.","Examination and assessment policy — establish departmental standards and policies for assessment design, grading equity, and academic integrity across all course levels and instructors.","Scholarly course materials and textbooks — author or edit advanced instructional resources, including textbooks, open-access course notes, and problem sets, that contribute to the broader mathematical education community.","Graduate student mentorship — direct the academic and professional development of doctoral students, overseeing dissertation research, qualifying examinations, and career preparation in a research-intensive postsecondary environment.","Institutional curriculum governance — represent the mathematics department on university curriculum committees, advocating for program priorities and leading cross-disciplinary course articulation and policy decisions.","High-level classroom discourse — design and model transformative seminar and lecture formats that cultivate independent mathematical inquiry and scholarly habits of mind among advanced graduate students.","Strategic advising and outreach — build advising frameworks and student-support initiatives that improve retention and degree completion across the mathematics program, coordinating with institutional student success offices.","Technology and learning environment strategy — lead departmental adoption of analytical software platforms, online learning tools, and database systems to modernize mathematics instruction at scale.","Disciplinary leadership and knowledge dissemination — present pedagogical and mathematical research at national conferences, publish in peer-reviewed venues, and serve in editorial or leadership roles that advance the field of mathematical science education."]}}},"sources":{"onet":"v30.2 (CC BY 4.0)","crosswalk":"https://skillscrosswalk.com","generator":"LER.me"},"attribution":"© EBSCOed"}