Introduction to Mathematical Thinking

Stanford University

Micro-CredentialCIP: 27.0101

Develop the mathematical thinking skills required for advanced mathematics.

Program Pathways

Credentials this program stacks toward

No program pathways.

Program Details

Detailed information about this program

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Requirements

What you need to earn this credential

No requirements listed.

Financial Aid

Eligible funding programs

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Scholarships

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My LER

Introduction to Mathematical Thinking

Stanford University

Micro-CredentialCIP: 27.0101

Develop the mathematical thinking skills required for advanced mathematics.

Skills & Competencies

Skills developed through this program

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Skills

Reading ComprehensionCritical ThinkingSpeakingActive ListeningWritingComplex Problem SolvingActive LearningJudgment and Decision MakingMathematicsMonitoringScienceInstructingLearning StrategiesSocial PerceptivenessTime ManagementCoordination

Knowledge

English LanguageComputers and ElectronicsMathematicsCustomer and Personal ServiceEducation and TrainingEngineering and TechnologyMedicine and DentistryBiologyAdministration and ManagementPhysicsAdministrativePsychologyDesign

Abilities

Oral ExpressionOral ComprehensionWritten ComprehensionWritten ExpressionDeductive ReasoningInductive ReasoningInformation OrderingSpeech ClarityProblem SensitivityMathematical ReasoningNear VisionSpeech RecognitionNumber FacilityCategory FlexibilitySelective Attention

Tasks

Prepare students for later grades by encouraging them to explore learning opportunities and to perse
Instruct through lectures, discussions, and demonstrations in one or more subjects, such as English,
Establish and enforce rules for behavior and procedures for maintaining order among students.
Compile, administer, and grade examinations, or assign this work to others.
Evaluate and grade students' class work, assignments, and papers.
Prepare and deliver lectures to undergraduate or graduate students on topics such as linear algebra,
Hire adjunct faculty.
Analyze or manipulate bioinformatics data using software packages, statistical applications, or data
Extend existing software programs, web-based interactive tools, or database queries as sequence mana
Maintain awareness of new and emerging computational methods and technologies.
Troubleshoot program and system malfunctions to restore normal functioning.
Provide staff and users with assistance solving computer-related problems, such as malfunctions and
Test, maintain, and monitor computer programs and systems, including coordinating the installation o
Design and validate clinical databases, including designing or testing logic checks.
Process clinical data, including receipt, entry, verification, or filing of information.
Generate data queries, based on validation checks or errors and omissions identified during data ent
Generate standard or custom reports summarizing business, financial, or economic data for review by
Maintain or update business intelligence tools, databases, dashboards, systems, or methods.
Manage timely flow of business intelligence information to users.
Draw conclusions or make predictions, based on data summaries or statistical analyses.
Analyze clinical or survey data, using statistical approaches such as longitudinal analysis, mixed-e
Write detailed analysis plans and descriptions of analyses and findings for research protocols or re
Analyze and interpret statistical data to identify significant differences in relationships among so
Evaluate the statistical methods and procedures used to obtain data to ensure validity, applicabilit
Report results of statistical analyses, including information in the form of graphs, charts, and tab
Mentor others on mathematical techniques.
Maintain knowledge in the field by reading professional journals, talking with other mathematicians,
Develop new principles and new relationships between existing mathematical principles to advance mat
Perform hydrologic, hydraulic, or water quality modeling.
Analyze storm water systems to identify opportunities for water resource improvements.
Conduct, or oversee the conduct of, investigations on matters such as water storage, wastewater disc
Schedule subjects for appointments, procedures, or inpatient stays as required by study protocols.
Perform specific protocol procedures such as interviewing subjects, taking vital signs, and performi
Assess eligibility of potential subjects through methods such as screening interviews, reviews of me
Hire, supervise, or evaluate engineers, technicians, researchers, or other staff.
Design or coordinate successive phases of problem analysis, solution proposals, or testing.
Plan or direct research, development, or production activities.

Technology

Data base user interface and query softwareAnalytical or scientific softwareDevelopment environment softwareDocument management softwareGraphics or photo imaging softwareObject or component oriented development softwareComputer based training softwareAccess softwareData base management system softwareCategorization or classification softwareBusiness intelligence and data analysis softwareOperating system softwareData mining softwareGeographic information systemElectronic mail softwareCalendar and scheduling softwareWord processing softwareFile versioning softwareEnterprise application integration softwareWeb platform development softwareMedical softwareData base reporting softwareWeb page creation and editing softwareStorage networking softwareCloud-based management softwareProcedure management softwareContent workflow softwareComputer aided design CAD softwareCustomer relationship management CRM softwareAccounting softwareVideo conferencing softwareSpreadsheet software

Tools

Bunsen burnersComputer data input scannersComputer laser printersDesktop computersDigital video camerasDissection scalpelsDocument camerasGlass beakersInteractive whiteboardsLaboratory heating platesLaptop computersLiquid crystal display LCD projectorsMultimedia projection equipmentOptical compound microscopesPencil compassesCarousel slide projectorsCompact digital camerasCompact disk CD playersConference telephonesDigital calculatorsDigital video disk DVD playersHandheld microphonesInteractive whiteboard controllersLaser facsimile machinesComputer clustersComputer workstation setupsHigh throughput screening HTS systemsNetwork file serversNuclear magnetic resonance NMR spectrometersSemiconductor-based sequencers

Work Values

RelationshipsAchievementWorking ConditionsIndependenceSupportRecognition

Career Pathways

Occupations this program prepares you for