Taxonomy of key terms in Mathematics Education
We make available to the Mathematics Education community the taxonomy of key terms in Mathematics Education that UED ( "una empresa docente") has developed for the Funes repository .
Click on the arrows to open the tree branches. Click on the buttons to select terms. The "Delete" button deletes the selected terms. The "Sort" button sorts them alphabetically. The "Copy" button copies the selected terms to the clipboard. To search, click the "Expand all" button and use the search functionality of your browser. The "Collapse all" button leaves only the first level items visible.
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Purpose
Task
Essay
Innovation
Research
Educational level
Kindergarden, early childhood education, pre-school education (0 to 6 years)
Primary education, elementary school (6 to 12 years)
Secondary education, middle school, basic secondary (12 to 16 years)
High school, upper secondary (16 to 18 years old)
Technical education, vocational education, professional training
Continuing education
Higher education, undergraduate education
Postgraduate education
Adult education
All educational levels
No educational level
Other education level
Foundations of Mathematics Education
History of Mathematics Education
From academic disciplines
Epistemology
Pedagogy
Psychology
Semiotics
Sociology
Other
Conceptual frameworks
French didactics
Ethnomathematics
Critical Mathematics Education
Sociological theories
Other
Models
Didactical analysis
Ontosemiotic approach
Socio-epistemological approach
Other
Purposes of Mathematics Education
Cultural
Formative
Socio-political
Other
Research in Mathematics Education
Paradigms
Critical
Empirical-analytical
Interpretative
Other
Types of research
Theoretical
Empirical
Qualitative
Quantitative
Mixed
Other
Methods
Content analysis
Discourse analysis
Meta-analysis
Statistical methods
Types of studies
Comparative
Quasi-experimental
Pre-experimental
Case studies
Exploratory
Descriptive
Documental
Design research
Action research
Other
Other
Sources of information
Surveys
Interviews
Tests
Questionnaires
Classroom observations
Other
Other
Pedagogical notions
Educational system
Educational policy
Educational laws
Curricular documents
Management and quality
School access and retention
Other
Educational center
Management and organization
Center resources
Educational project of the centre
Other
Teacher
Associations
Teacher's knowledge
Teacher development
Peer collaboration
Teacher practices
Training
Initial
Postgraduate
Continuing education
Other
Content
Approaches
Conceptual-theoretical
Functional
Other
Concepts and procedures
Representations
Graphical
Numerical
Symbolic
Verbal
Other
Phenomenology
Uses or meanings
Contexts or situations
Other
Historical evolution of concepts
Other
Learning
Learning theories
Constructivism
Socio-cultural located
Social theory of learning
Objectification theory
APOS
Other
Learning types
Learning goals
Mathematical literacy
Competences
Capacities
Other
Learning limitations
Misconceptions
Difficulties
Errors
Other
Learning styles
Achievement
Other
Cognition
Conceptual change
Knowledge
Metacognition
Cognitive processes
Estimation
Mental calculation
Perception
Visualization
Understanding
Abstraction
Generalization
Reasoning
Deductive
Inductive
Other
Justification processes
Creativity
Other
Problem solving
Formulate
Modelling
Interpret
Communication
Other
Types of mathematical thoughts
Other
Teaching
Curriculum
Notion
Design
Development
Evaluation
Other
Types of methodology
Tasks
Routine exercises
Problems
Problem statement
Solution strategies
Types of problems
Other
Other
Didactic resources
Textbooks
Manipulative materials
Audio-visual media
Software
Electronic devices
Calculators
Computers
Mobile devices
Other
Other
Classroom management
Decision making
Discourse
Socio-cultural norms
Interactions
Other
Reflection on teaching
Teaching modality
Face-to-face
Virtual
Mixed
Distance education
Other
Other
Assessment
Types of assessment
Formative
Summative
Diagnostic
Other
Instruments
Assessment approaches
Standardized
Feedback
Other
Inclusion
Socio-cultural diversity
Socioeconomic aspects
Culture / Religion
Gender
Ethnic-race
Other
Special educational needs
Mathematical talent
Intellectual disability
Sensory or physical disability
Other
Other
Affectivity
Attitude
Anxiety
Belief
Motivation
Other
Other
Mathematical content
Quantity
Numbers
Pre-numerical concepts
Numeration systems
Numerical sets
Natural numbers
Integer numbers
Rational numbers
Irrational numbers
Real numbers
Complex numbers
Other
Arithmetic operations
Addition
Subtraction
Multiplication
Division
Other
Numerical relations
Order
Divisibility
Proportionality
Other
Number theory
Other
Measure
Magnitudes
Units of measurement
Measurement estimation
Measurement calculation
Other
Other
Change and relationships
Algebra
Numerical patterns
Polynomials
Relations
Functions
Types
Exponential
Polynomial
Logarithmic
Trigonometric
Other
Operations
Other
Equations and inequalities
Systems of equations
Abstract algebra
Other
Calculus
Sequences and series
Limits
Derivation
Integration
Other
Differential equations
Mathematical analysis
Other
Space and shape
Dimensions
One-dimensional
Two-dimensional
Three-dimensional
Other
Geometry
Geometric constructions
Geometric shapes
Geometrical transformations
Geometric relations
Theorems
Other
Analytical geometry
Trigonometry
Linear algebra
Topology
Other
Uncertainty and data
Statistics
Descriptive
Data organization and representation
Measures of central tendency
Measures of dispersion
Other
Inferential
Random variable
Correlation and regression
Hypothesis testing
Other
Other
Probability
Combinatorics
Probability calculation
Conditional probability
Probability distributions
Other
Other
Transversal
Mathematical logic
Set theory
Graph theory
Other
STEM
Other
