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15
solution
bool
2 classes
[ "Addition", "AdjacentAngles", "AngleCalculation", "AngleMeasurement", "DegreeScale", "ProcedureUnderstanding" ]
false
[ "Addition", "AdjacentAngles", "AngleCalculation", "AngleMeasurement", "DegreeScale", "ProcedureUnderstanding" ]
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[ "Addition", "AdjacentAngles", "AngleCalculation", "AngleMeasurement", "DegreeScale", "ProcedureExecution" ]
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[ "Addition", "AdjacentAngles", "AngleCalculation", "AngleMeasurement", "DegreeScale", "ProcedureExecution" ]
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[ "Addition", "AdjacentAngles", "AngleCalculation", "AngleMeasurement", "DegreeScale", "ProcedureInversion" ]
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[ "Addition", "AdjacentAngles", "AngleCalculation", "AngleMeasurement", "DegreeScale", "ProcedureInversion" ]
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[ "AdjacentAngles", "AngleCalculation", "AngleMeasurement", "DegreeScale", "ProcedureInversion", "Subtraction" ]
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[ "AdjacentAngles", "AngleCalculation", "AngleMeasurement", "DegreeScale", "ProcedureInversion", "Subtraction" ]
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[ "AngleConcept", "AngleMeasurement", "ArchConcept", "Circle", "FractionInterpretation", "Interpretation", "RayConcept" ]
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[ "AngleConcept", "AngleMeasurement", "ArchConcept", "Circle", "FractionInterpretation", "Interpretation", "RayConcept" ]
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[ "AngleCalculation", "AngleConcept", "AngleMeasurement", "DegreeScale", "Interpretation", "Iteration" ]
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[ "AngleCalculation", "AngleConcept", "AngleMeasurement", "DegreeScale", "Interpretation", "Iteration" ]
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[ "AngleConcept", "AngleMeasurement", "Circle", "ConceptDerivation", "DegreeScale", "FractionInterpretation", "UnitFractions" ]
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[ "AngleConcept", "AngleMeasurement", "Circle", "ConceptDerivation", "DegreeScale", "FractionInterpretation", "UnitFractions" ]
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[ "AngleConcept", "AngleMeasurement", "ConceptSpecification", "DegreeScale", "VisualArticulation" ]
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[ "AngleConcept", "AngleMeasurement", "ConceptSpecification", "DegreeScale", "VisualArticulation" ]
true
[ "AngleCalculation", "AngleConcept", "DegreeScale", "ProcedureExecution", "Protractor" ]
false
[ "AngleCalculation", "AngleConcept", "DegreeScale", "ProcedureExecution", "Protractor" ]
true
[ "Addition", "AreaCalculation", "DistributiveLaw", "Multiplication", "ProcedureUnderstanding", "Rectangle", "ShapeDecomposition", "ThreeOperands" ]
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[ "Addition", "AreaCalculation", "DistributiveLaw", "Multiplication", "ProcedureUnderstanding", "Rectangle", "ShapeDecomposition", "ThreeOperands" ]
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[ "Addition", "AreaCalculation", "ProcedureExecution", "Rectangle", "ShapeDecomposition", "VisualDecomposition" ]
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[ "Addition", "AreaCalculation", "ProcedureExecution", "Rectangle", "ShapeDecomposition", "VisualDecomposition" ]
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[ "AreaCalculation", "ConceptClassification", "Equal", "PerimeterCalculation", "Rectangle" ]
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[ "AreaCalculation", "ConceptClassification", "Equal", "PerimeterCalculation", "Rectangle" ]
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[ "AreaCalculation", "Equal", "PerimeterCalculation", "ProcedureUnderstanding", "Rectangle", "VisualArticulation" ]
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[ "AreaCalculation", "Equal", "PerimeterCalculation", "ProcedureUnderstanding", "Rectangle", "VisualArticulation" ]
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[ "Addition", "ArabicNumerals", "Base10", "IntegerNumbers", "NumberNotation", "NumbersSmaller10", "NumbersWithoutNegatives", "NumbersWithoutZero", "PartitionOfCollections", "PhysicalNumbers", "ProcedureUnderstanding" ]
false
[ "Addition", "ArabicNumerals", "Base10", "IntegerNumbers", "NumberNotation", "NumbersSmaller10", "NumbersWithoutNegatives", "NumbersWithoutZero", "PartitionOfCollections", "PhysicalNumbers", "ProcedureUnderstanding" ]
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[ "Addition", "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "NumbersSmaller20", "NumbersWithoutNegatives", "PlausibilityEvaluation" ]
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[ "Addition", "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "NumbersSmaller20", "NumbersWithoutNegatives", "PlausibilityEvaluation" ]
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[ "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "NumbersSmaller20", "NumbersWithoutNegatives", "PlausibilityEvaluation", "Subtraction" ]
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[ "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "NumbersSmaller20", "NumbersWithoutNegatives", "PlausibilityEvaluation", "Subtraction" ]
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[ "ArabicNumerals", "Base10", "Division", "IntegerNumbers", "IntegerRounding", "NumbersSmaller1000", "NumbersWithoutNegatives", "PlausibilityEvaluation" ]
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[ "ArabicNumerals", "Base10", "Division", "IntegerNumbers", "IntegerRounding", "NumbersSmaller1000", "NumbersWithoutNegatives", "PlausibilityEvaluation" ]
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[ "ArabicNumerals", "Base10", "IntegerNumbers", "IntegerRounding", "Multiplication", "NumbersSmaller1000", "NumbersWithoutNegatives", "PlausibilityEvaluation" ]
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[ "ArabicNumerals", "Base10", "IntegerNumbers", "IntegerRounding", "Multiplication", "NumbersSmaller1000", "NumbersWithoutNegatives", "PlausibilityEvaluation" ]
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[ "Addition", "ArabicNumerals", "Base10", "IntegerNumbers", "IntegerRounding", "NumbersSmaller1000", "NumbersWithoutNegatives", "PlausibilityEvaluation" ]
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[ "ArabicNumerals", "Base10", "IntegerNumbers", "IntegerRounding", "NumbersSmaller1000", "NumbersWithoutNegatives", "PlausibilityEvaluation", "Subtraction" ]
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[ "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "MultiplesOf10", "MultiplicationKnownFactDerivation", "NumbersSmaller1000", "NumbersWithoutNegatives", "NumbersWithoutZero", "PlaceValue", "ProcedureUnderstanding", "SingleDigitSmallestOperand", "TwoDigitLargestOperand", "TwoOperand...
false
[ "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "MultiplesOf10", "MultiplicationKnownFactDerivation", "NumbersSmaller1000", "NumbersWithoutNegatives", "NumbersWithoutZero", "PlaceValue", "ProcedureUnderstanding", "SingleDigitSmallestOperand", "TwoDigitLargestOperand", "TwoOperand...
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[ "ArabicNumerals", "Base10", "CommutativeLaw", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureUnderstanding", "TwoOperands" ]
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[ "ArabicNumerals", "Base10", "CommutativeLaw", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureUnderstanding", "TwoOperands" ]
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[ "ArabicNumerals", "AssociativeLaw", "Base10", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureUnderstanding", "ThreeOperands" ]
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[ "ArabicNumerals", "AssociativeLaw", "Base10", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureUnderstanding", "ThreeOperands" ]
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[ "ArabicNumerals", "Base10", "DivisionKnownFactDerivation", "Equation", "IntegerNumbers", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureUnderstanding", "TwoOperands" ]
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[ "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureUnderstanding", "TwoOperands" ]
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false
[ "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "MultiplesOf10", "MultiplicationKnownFactDerivation", "NumbersSmaller1000", "NumbersWithoutNegatives", "NumbersWithoutZero", "PlaceValue", "ProcedureInversion", "SingleDigitSmallestOperand", "TwoDigitLargestOperand", "TwoOperands" ]
true
[ "ArabicNumerals", "Base10", "CommutativeLaw", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureInversion", "TwoOperands" ]
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[ "ArabicNumerals", "Base10", "CommutativeLaw", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller100", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureInversion", "TwoOperands" ]
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[ "ArabicNumerals", "AssociativeLaw", "Base10", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureInversion", "ThreeOperands" ]
false
[ "ArabicNumerals", "AssociativeLaw", "Base10", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureInversion", "ThreeOperands" ]
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[ "ArabicNumerals", "Base10", "DivisionKnownFactDerivation", "Equation", "IntegerNumbers", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureInversion", "TwoOperands" ]
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[ "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureInversion", "TwoOperands" ]
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[ "ArabicNumerals", "Base10", "Equation", "IntegerNumbers", "MultiplicationKnownFactDerivation", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureInversion", "TwoOperands" ]
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[ "Addition", "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "FourOperands", "IntegerNumbers", "NumbersLarger10", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution" ]
false
[ "Addition", "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "FourOperands", "IntegerNumbers", "NumbersLarger10", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution" ]
true
[ "Addition", "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "FourOperands", "IntegerNumbers", "NumbersLarger10", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "ProcedureInversion" ]
false
[ "Addition", "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "FourOperands", "IntegerNumbers", "NumbersLarger10", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "ProcedureInversion" ]
true
[ "Addition", "ArabicNumerals", "Base10", "FourOperands", "IntegerNumbers", "NumbersLarger10", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution" ]
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[ "Addition", "ArabicNumerals", "Base10", "FourOperands", "IntegerNumbers", "NumbersLarger10", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution" ]
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[ "Addition", "ArabicNumerals", "Base10", "FourOperands", "IntegerNumbers", "NumbersLarger10", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "ProcedureInversion" ]
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[ "Addition", "ArabicNumerals", "Base10", "FourOperands", "IntegerNumbers", "NumbersLarger10", "NumbersSmaller100", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "ProcedureInversion" ]
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[ "Base10", "IntegerNumbers", "KilogramScale", "Multiplication", "NumbersSmaller100", "SingleStep", "TextualReception", "TwoOperands", "WeightMeasurement" ]
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[ "Base10", "IntegerNumbers", "KilogramScale", "Multiplication", "NumbersSmaller100", "SingleStep", "TextualReception", "TwoOperands", "WeightMeasurement" ]
true
[ "Base10", "GramScale", "IntegerNumbers", "Multiplication", "NumbersSmaller100", "SingleStep", "TextualReception", "TwoOperands", "WeightMeasurement" ]
false
[ "Base10", "GramScale", "IntegerNumbers", "Multiplication", "NumbersSmaller100", "SingleStep", "TextualReception", "TwoOperands", "WeightMeasurement" ]
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[ "Base10", "GramScale", "IntegerNumbers", "NumbersSmaller1000", "SingleStep", "Subtraction", "TextualReception", "TwoOperands", "WeightMeasurement" ]
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[ "Base10", "GramScale", "IntegerNumbers", "NumbersSmaller1000", "SingleStep", "Subtraction", "TextualReception", "TwoOperands", "WeightMeasurement" ]
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[ "Base10", "IntegerNumbers", "LiquidVolumes", "LiterScale", "Multiplication", "NumbersSmaller100", "SingleStep", "TextualReception", "TwoOperands" ]
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[ "Base10", "IntegerNumbers", "LiquidVolumes", "LiterScale", "Multiplication", "NumbersSmaller100", "SingleStep", "TextualReception", "TwoOperands" ]
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[ "Base10", "Division", "IntegerNumbers", "LiquidVolumes", "LiterScale", "NumbersSmaller100", "SingleStep", "TextualReception", "TwoOperands" ]
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[ "Base10", "Division", "IntegerNumbers", "LiquidVolumes", "LiterScale", "NumbersSmaller100", "SingleStep", "TextualReception", "TwoOperands" ]
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[ "Addition", "Base10", "IntegerNumbers", "LiquidVolumes", "LiterScale", "NumbersSmaller1000", "SingleStep", "TextualReception", "TwoOperands" ]
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[ "Addition", "Base10", "IntegerNumbers", "LiquidVolumes", "LiterScale", "NumbersSmaller1000", "SingleStep", "TextualReception", "TwoOperands" ]
true
[ "Base10", "IntegerNumbers", "KilogramScale", "NumbersSmaller1000", "SingleStep", "Subtraction", "TextualReception", "TwoOperands", "WeightMeasurement" ]
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[ "Base10", "IntegerNumbers", "KilogramScale", "NumbersSmaller1000", "SingleStep", "Subtraction", "TextualReception", "TwoOperands", "WeightMeasurement" ]
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[ "Addition", "Base10", "GramScale", "IntegerNumbers", "NumbersSmaller1000", "SingleStep", "TextualReception", "TwoOperands", "WeightMeasurement" ]
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[ "Addition", "Base10", "GramScale", "IntegerNumbers", "NumbersSmaller1000", "SingleStep", "TextualReception", "TwoOperands", "WeightMeasurement" ]
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[ "Addition", "Base10", "IntegerNumbers", "KilogramScale", "NumbersSmaller1000", "SingleStep", "TextualReception", "TwoOperands", "WeightMeasurement" ]
false
[ "Addition", "Base10", "IntegerNumbers", "KilogramScale", "NumbersSmaller1000", "SingleStep", "TextualReception", "TwoOperands", "WeightMeasurement" ]
true
[ "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "IntegerNumbers", "NumbersSmaller10", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "SingleStep", "Subtraction", "TwoOperands" ]
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[ "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "IntegerNumbers", "NumbersSmaller10", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "SingleStep", "Subtraction", "TwoOperands" ]
true
[ "Addition", "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "IntegerNumbers", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "SingleStep", "TwoOperands" ]
false
[ "Addition", "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "IntegerNumbers", "NumbersSmaller20", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "SingleStep", "TwoOperands" ]
true
[ "Addition", "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "IntegerNumbers", "NumbersSmaller10", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "SingleStep", "TwoOperands" ]
false
[ "Addition", "ArabicNumerals", "Base10", "Equation", "ExpressionOnOneSide", "Formalization", "IntegerNumbers", "NumbersSmaller10", "NumbersWithoutNegatives", "NumbersWithoutZero", "ProcedureExecution", "SingleStep", "TwoOperands" ]
true
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EduGraph Exercises Dataset

EduGraph Exercises is a synthetic ML dataset of math-related visual problems, precisely labeled for training AI models in the education sector.

Every image in this dataset is programmatically generated using the EduGraph Ontology to ensure that visual features are mathematically bound to their pedagogical labels.

Quick Links

Dataset Description

The dataset follows a Label-Driven Generation paradigm. Instead of labeling existing images, the system uses mathematical constraints to generate problems that satisfy specific educational goals.

Example Modules

The dataset currently contains exercises for:

  • Arithmetic: Addition, Subtraction, Multiplication, and Division (Vertical and Box layouts).
  • Counting: Object counting with various shapes and symbols.
  • Comparison: Greater than, less than, and equality of numbers.
  • Time: Analog clock reading at various intervals.

Structure & Metadata

File Layout

The dataset is split into train and validation folders. Each split contains:

  • metadata.jsonl: The primary entry point containing labels and image references.
  • [module]/: Subdirectories containing the actual PNG images.

Metadata Schema

Each entry in metadata.jsonl contains:

  • file_name: Path to the image file (relative to the split root).
  • tags: List of semantic labels from the EduGraph Ontology.
  • solution: Boolean indicating whether the image shows a solved state.

Versioning & Integrity

The dataset version (e.g., v0.6.0-02) is strictly tied to the version of the EduGraph Ontology it was generated with. This ensures that labels like http://edugraph.io/edu/ArabicNumerals have stable, mathematically consistent meanings across all training samples.

License

This dataset is released under the Apache 2.0 License.

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