manipulatives
Hands-on teaching tools
Manipulatives are physical objects used in education, especially math instruction, to help students understand abstract concepts through hands-on exploration.
Blocks, counters, fraction tiles, and base-ten rods are common examples.
Teachers use manipulatives to make ideas like place value or geometric relationships concrete and tangible.
The kindergartners learned addition using manipulatives before moving to written problems.
The term is used almost exclusively in educational contexts.
Obstructs or sections
- countersSurfaces, talliers, or chips
- tangramsSeven flat pieces, endless shapes
- geoboardsPegged boards for shape-making
- diceMarked cubes for chance
dominoes · spinners · flashcards · abacus · pentominoes
Problems designed to challenge
Child-led educational philosophy
- PiagetChild cognition researcher
- constructivismActive knowledge-building theory
- kinestheticRelating to body awareness
- scaffoldingTemporary exterior work platform
cognitive · discovery · exploration · engagement · differentiation · multisensory · experiential
Malleable children's craft material
beans · foam · fidgets · putty · finger-paint · cornstarch · oobleck
Parts expressed numerically
- additionJoining quantities mathematically
- subtractionRemoving quantities mathematically
- multiplicationProduct-finding operation
- divisionSplitting into parts
counting · sorting · grouping · equations · operations · measurement · geometry · patterning
blocks
Obstructs or sections
- countersSurfaces, talliers, or chips
- tangramsSeven flat pieces, endless shapes
- geoboardsPegged boards for shape-making
dice · dominoes · spinners · flashcards · abacus · pentominoes
puzzles
Problems designed to challenge
- beadsSmall pierced ornaments for stringing
- dollsToy human figures
- figurinesSmall ornamental sculptures
puppets · marbles · trains · cars · animals · playset · duplo
Montessori
Child-led educational philosophy
- PiagetChild cognition researcher
- constructivismActive knowledge-building theory
- kinestheticRelating to body awareness
scaffolding · cognitive · discovery · exploration · engagement · differentiation · multisensory · experiential
playdough
Malleable children's craft material
rice · beans · foam · fidgets · putty · finger-paint · cornstarch · oobleck
fractions
Parts expressed numerically
- additionJoining quantities mathematically
- subtractionRemoving quantities mathematically
- multiplicationProduct-finding operation
division · counting · sorting · grouping · equations · operations · measurement · geometry · patterning · sequencing
- teachingteaching, lesson plans, instructing, educating, courses
- math educationmath class, math instruction, math curriculum, math standards, lesson plans
- classroom materialslesson plans, workbooks, worksheets, flashcards, teacher guides
- hands-on learninghands-on learning, hands-on activities, model-making, learning by doing, active learning
- kindergartenkindergarten, kindergarten curriculum, kindergarten teachers, kindergarten enrollment, kindergarten readiness
- Learning Activitiesquizzes, flashcards, drills, practice, experiments
manipulativeslectures
Formal instructional talks
worksheets · textbooks · passive learning · workbooks · printed materials
manipulativesmental math
Numerical computation done internally
algebraic expressions · formulas · equations · algorithms · diagrams
- manipulative intentDesire to influence deceptively