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WorksheetsECM3260 Exam Revision
Total questions: 247
Worksheet time: 2hrs 4mins
What Are The SCSA Content Strands
Statistics & Probability
Location & Transformation
Measurement & Geometry
Number & Algebra
Data representation & Interpretation
What Are The SCSA Number & Algebra Sub Strands
Number & Place Value
Patterns & Algebra
Fractions & Decimals
Money & Financial Matters
Counting & Operations
What Are The SCSA Measurement & Geometry Sub Strands
Location & Transformation
Shape
Chance
Geometric Reasoning
Data Representation & Interpretation
What Are The SCSA Statistics & Probability Sub Strands
Number & Place Value
Data Representation & Interpretation
Chance
Number & Algebra
Measurement & Geometry
What Are The SCSA Proficiency Strands
Understanding
Reasoning
Problem Solving
Fluency
What Is The Model For Learning Mathematics
Materials → Pictures - Language
Action Before Abstraction
Surface → Deep → Transfer
Pictures/ See → Talk → Representations
Which Is NOT A Recommendation To Make Sense Of Mathematics
Teach to the developmental characteristics of students
Actively involve students
Connect mathematics to real world contexts
Move from concrete to abstract
Use communication to encourage understanding
Which Are The Process For Learning Mathematics
Problem solving
Reasoning
Communicate
Make connections
Symbolic representations
What Are The 5 Views Of Mathematics
Study of patterns
Is an art
Way of thinking
Is a language
Is a tool
Define A Growth Mindset
Don't think you can improve
Belief you can grow and improve
The brain grows through hard work
Belief they just cant do it
Persistence
Define A Fixed Mindset
Don't think you can improve
Belief you can grow and improve
The brain grows through hard work
Belief they just cant do it
Persistence
How Can Your Reduce Mathematic Anxiety
Provide elements of choice
Actively involve students
Connect mathematics to real world contexts
Emphasise meaning and understanding > Memorisation
Encourage competition
Which Is NOT A Measurable Component Of Disposition
Belief in how children learn
Attitudes
Mathematic Anxiety
Confidence with mathematics
Conceptualisation
Define Whole Number
Single numbers
Positive numbers
Symbols used to make numerals
Includes 0
Define Digits
Symbol/ Name that stands for a number
Single number
Positive numbers
Symbols used to make numerals
What Are The 3 Types Of Numbers
Cardinal
Ordinal
Nominal
Digits
Numerals
Define Cardinal Number
Numbers that count
Numbers for position/ Order
Numbers as names/ Labels
Define Ordinal Number
Numbers that count
Numbers for position/ Order
Numbers as names/ Labels
Define Nominal Number
Numbers that count
Numbers for position/ Order
Numbers as names/ Labels
Define Numerals
Symbol/ Name that stands for a number
Single number
Positive numbers
Symbols used to make numerals
Of The Options Below What Do Students Learn First When Quantifying Number
Count using the counting principles
Numeral recognition
Subitise
Compare quantities
Match numerals
When Learning To Quantify Number What Is After Counting Using The Counting Principles
Match numerals
Numeral recognition
Subitise
Compare quantities
When Learning To Quantify Number What Is After Numeral Recognition
Count using the counting principles
Match numerals
Subitise
Compare quantities
When Learning To Quantify Number What Is After Subitising
Count using the counting principles
Numeral recognition
Match numerals
Compare quantities
What Is The Final Thing Students Learn When Quantifying Number
Count using the counting principles
Numeral recognition
Subitise
Compare quantities
Match numerals
Which Comes First Conceptual Or Perceptual Subitising
Perceptual
Conceptual
Define Perceptual Subitising
Small quantities
Breaking up larger patterns into smaller parts
Define Conceptual Subitising
Small quantities
Breaking up larger patterns into smaller parts
How Many Counting Principles Are There
4
5
6
7
Which IS NOT A Counting Principle
One to one correspondence
Stable order
Cardinality
Numeral recognition
Abstraction
Which Is The Missing Counting Principle Out Of - One To One Correspondence, Stable Order, Cardinality, Abstraction
Order Irrelevance
Numeral recognition
Action before abstraction
One to one correspondence
What Is The First Step When Naming Numbers
Recognise and write numbers
Digits
Introduce 10
Numbers 20-99
Introduce teen numbers
When Naming Numbers What Is After Recognising And Writing Numerals
3 digit numbers
Digits
Introduce 10
Numbers 20-99
Introduce teen numbers
When Naming Numbers What Is After Digits
3 digit numbers
4 digit numbers
Introduce 10
Numbers 20-99
Introduce teen numbers
When Naming Numbers What Is After Introducing 10
3 digit numbers
4 digit numbers
Digits
Numbers 20-99
Introduce teen numbers
When Naming Numbers What Is After Numbers 20-99
3 digit numbers
4 digit numbers
Introduce 10
Digits
Introduce teen numbers
When Naming Numbers What Is After The Teen Numbers
3 digit numbers
4 digit numbers
Introduce 10
Numbers 20-99
Digits
What Is The Final Step When Naming Numbers
3 digit numbers
4 digit numbers
Introduce 10
Numbers 20-99
Introduce teen numbers
How Many Counting Stages Are There
4
5
6
7
What Is The First Counting Stage
Rote Counting
Rational Counting
Counting On
Counting Back
Skip Counting
What Is The Second Counting Stage
Rote Counting
Rational Counting
Counting On
Counting Back
Skip Counting
What Is The Third Counting Stage
Rote Counting
Rational Counting
Counting On
Counting Back
Skip Counting
What Is The Fourth Counting Stage
Rote Counting
Rational Counting
Counting On
Counting Back
Skip Counting
What Is The Fifth Counting Stage
Rote Counting
Rational Counting
Counting On
Counting Back
Skip Counting
What Are Some At Home Experiences To Develop Whole Number
Talk about number
Skip counting
Rhymes & Songs
Shopping
Books
What Is The Name Of Our Numeration System
Hindu-Arabic numeration system
Hindu numeration system
Arabic numeration system
Standard number numeration system
Which Is NOT A Characteristic Of Our Numeration System
Place value
Commutative property
Base 10
Use of 0
Additive property
Define Number Sense
Use of estimation
Working with numbers in a way that is meaningful and makes sense
Reflect on the reasonableness of results
Using knowledge of the 4 operations
Meaningful problem solving
What Are The 3 Stages Of Number Sense Development
Pre-number and informal number
Early number development
Number development and counting
Pre-cognition
Visualisation
What Is The First Stage Of Number Sense Development
Pre-number and informal number
Early number development
Number development and counting
What Is The Second Stage Of Number Sense Development
Pre-number and informal number
Early number development
Number development and counting
What Is The Third Stage Of Number Sense Development
Pre-number and informal number
Early number development
Number development and counting
What Is Involved In The Pre-Number And Informal Number Stage
Sorting
Classification
Patterning
Conservation
Comparison
What Is Involved In The Early Number Development Stage
One to one correspondence
Count
Group recognition
Conservation
Comparison
What Is Involved In The Number Development And Counting Stage
Count on and count back
Count objects and events
Group recognition
Skip counting
Establish benchmarks of quantities
What Is Involved In The Number Development And Counting Stage
Place value
Sorting
Classification
One to one correspondence
Conservation
Which Is First In The Sequence For Developing Numeration
1 digit numbers
Thinking in 10's
Place value with 2 digit numbers
Teen numbers
Place value with 3 digit numbers
When Developing Numeration What Is After 1 Digit Numbers
Renaming
Thinking in 10's
Place value with 2 digit numbers
Teen numbers
Place value with 3 digit numbers
When Developing Numeration What Is After Thinking in 10's
Renaming
1 Digit numbers
Place value with 2 digit numbers
Teen numbers
Place value with 3 digit numbers
When Developing Numeration What Is After Place Value With 2 Digit Numbers
Renaming
Thinking in 10's
1 digit numbers
Teen numbers
Place value with 3 digit numbers
When Developing Numeration What Is After Teen Numbers
Renaming
Thinking in 10's
Place value with 2 digit numbers
1 digit numbers
Place value with 3 digit numbers
What Is The Final Stage When Developing Numeration
Renaming
Thinking in 10's
Place value with 2 digit numbers
Teen numbers
Place value with 3 digit numbers
What Place Value Concepts Are Learnt In Preprimary
Counting with order irrelevance
Subitise small groups
3 digit numbers
Connect name, numeral and quantity
Skip counting
What Place Value Concepts Are Learnt In Year 1
Increase/ Decrease by 2,3,5 & 10
Partition 3 digit numbers using place value
Skip counting, counting on and counting back
Use of number lines
Look for number patterns
What Place Value Concepts Are Learnt In Year 2
Increase/ Decrease by 2,3,5 & 10
Play trading games with 4 digit numbers
The position of digits represents its value
Understand 0 as a place holder
Investigate conditions for odd and even
What Place Value Concepts Are Learnt In Year 3
Increase/ Decrease by 2,3,5 & 10
Reproduce 5 digit numbers in words and numerals
Place value renaming and investigate the multiplicative relationship that exists between places
Read and write numbers correctly
Investigate conditions for odd and even
What Is The Nature Of Place Value
Trading experiences
Use of grouped/ Pre-grouped and proportional/ Non-proportional materials
Grouping by 10's
Symbolic representations
Regrouping and renaming
What Are The 2 Key Ideas Of Place Value
Rules are consistently followed
Position of the digit determines the number represented
Multiplicative relationship between places
Making connections between places
What Is Involved When Beginning Place Value
Use the same digit to create different numbers
Understand numbers over 100
Make connections between representations
Thinking of numbers in different ways
Regrouping and renaming
What Is Involved When Consolidating Place Value
Use the same digit to create different numbers
Understand numbers over 100
Make connections between representations
Thinking of numbers in different ways
Regrouping and renaming
What Is Involved When Extending Place Value
Use the same digit to create different numbers
Understand numbers over 100
Make connections between representations
Thinking of numbers in different ways
Regrouping and renaming
What Are The Misconceptions With Place Value
Confusion with teen numbers
Bridging between decades
Forced to symbolise too soon
First introduction to abstraction
Complexity of language
Define Fractions
Equal groupings/ Parts
Division
Includes numerator and denominator
Quotients
Which Is NOT A Meaning Of Fractions
Part-Whole
Quotient
Ratio
Partitioning
What Are The Important Aspects Of Fractions
Part-part-whole
Equal parts
Bigger the denominator → Smaller the parts
Importance of multiple representations
Sharing
What Is First When Developing Fractions
Sharing
Equality
Part-part-whole
Connect symbols and visuals
Halves, quarters and eighths
What Is Second When Developing Fractions
Region model
Equality
Part-part-whole
Connect symbols and visuals
Halves, quarters and eighths
What Is Third When Developing Fractions
Region model
Quarters
Part-part-whole
Connect symbols and visuals
Halves
What Is Fourth When Developing Fractions
Region model
Quarters
Part-part-whole
Eighths
Halves
What Is Fifth When Developing Fractions
Region model
Quarters
Part-part-whole
Eighths
Halves
What Is Sixth When Developing Fractions
Region model
Quarters
Part-part-whole
Eighths
Halves
How Do Children First Make Sense Of Fractions
Part-whole meaning
Region model
Length
Area
Partitioning
Define Conceptual Knowledge
Understanding of meaning
Execution of a series of steps to solve problems
Analysis
Conceptualisation
Define Procedural Knowledge
Understanding of meaning
Execution of a series of steps to solve problems
Analysis
Conceptualisation
True Or False: Strong Conceptual Knowledge = More Successful Memory And Analysis
True
False
How Do Children Develop Conceptual Understanding Of Fractions
Emphasise multiple representations
Compare
Order
Investigate equivalence
Look at fractions as parts of a whole
What Fraction Concepts Are Learnt In Year 1
Half
Equal parts of a whole
Parts of collections
Common uses of half
Parts of wholes
What Fraction Concepts Are Learnt In Year 2
Multiples to complete wholes
Unit fractions
Parts of collections
Common uses of half, quarters and eighths
Parts of wholes
What Fraction Concepts Are Learnt In Year 3
Multiples to complete wholes
Unit fractions
Parts of collections
half, thirds, quarters, fifths and eighths
Parts of wholes
Define Improper Fractions
Numerator is greater than the denominator
Includes the whole and left overs
Whole numeral and the fraction
More complex fraction model
Define Mixed Number Fractions
Numerator is greater than the denominator
Includes the whole and left overs
Whole numeral and the fraction
More complex fraction model
How Can We Help Children Understand Equivalence
Partitioning
Words
Symbols
More complicated models
Have multiple representations
What Are The Misconceptions With Fractions
Not based on everyday experiences
Focuses on the size of parts, rather than parts of a whole
Forced to symbolise too soon
First introduction to abstraction
Complexity of language
When Teaching Fractions What Are Some Implications
Have multiple representations
Have different sized wholes
Describe 1 out of 2 pieces
Define the whole first
Have meaningful and engaging lessons
What Are The 4 Prerequisites For Number Operations
Facility with counting
Experience with a variety of situations
Problem solving
Use language to communicate ideas
Symbolisation
Which Is NOT A Mathematical Property
Commutative
Assositive
Additive
Distributive
Identity
What Number Operation Concepts Are Learnt In Preprimary
Add in practical situations
Share in practical situations
Complete addition problems
Complete subtraction problems
Use a range of strategies
What Number Operation Concepts Are Learnt In Year 1
Building to 10
Counting on
Complete addition problems
Complete subtraction problems
Use a range of strategies
What Number Operation Concepts Are Learnt In Year 2
Building to 10, 10 facts and adding 10
Repeated addition → Multiplication
Complete addition & Subtraction problems
Grouping equal sets → Division
Use mental and written strategies
What Number Operation Concepts Are Learnt In Year 3
Recognise certain combinations always equal the same number
Recall multiplication facts
Partition using addition and subtraction
Grouping equal sets → Division
Use mental and written strategies
When Teaching The Number Operations What Are Some Implications
Complete multiple types of problems
Understand the connections between operations
Consider the multiple ways to perform an operation
Concrete → Pictorial → Abstract
Learnt in meaningful contexts
What Are The 3 Types Of Subtraction
Seperation
Comparison
Part-whole
Equal groupings
Combinations
What Are The 4 Types Of Multiplicative Situations
Repeated subtraction
Areas and arrays
Multiplicative comparisons
Equal groupings
Combinations
What Are The 3 Types Of Division
Repeated subtraction
Areas and arrays
Multiplicative comparisons
Equal groupings
Sharing
What Are The Basic Addition Facts
Addends
Sum
Communicative law
Difference between an addend and the sum
What Are The Basic Subtraction Facts
Addends
Sum
Inverse relationship with addition
Difference between an addend and the sum
What Are The Prerequisite Skills For Addition And Subtraction
Think addition strategy
Mathematical language
Addition properties
Experience with manipulatives
What Are The Addition Properties
Communicative
Associative
Distrobutive
Identity
Define Communicative Property
Rearrangement of numbers
Sum remains the same regardless of grouping
Addends can be multiplied separately
Define Associative Property
Rearrangement of numbers
Sum remains the same regardless of grouping
Addends can be multiplied separately
What Is First In The Addition Sequence
Stories that involve joining
Use of materials
Introduction of symbols
Emphasise part-part-whole
Extend language, introducing more symbols
What Are The 2 Types Of Subtraction Problems
Change
Compare
Difference
Think addition
In The Addition Sequence What Is After Reading Stories That Involve Joining
Counting on
Use of materials
Introduction of symbols
Emphasise part-part-whole
Extend language, introducing more symbols
In The Addition Sequence What Is After Using Materials
Counting on
Using doubles
Introduction of symbols
Emphasise part-part-whole
Extend language, introducing more symbols
In The Addition Sequence What Is After Introducing Symbols
Counting on
Using doubles
Make 10
Emphasise part-part-whole
Extend language, introducing more symbols
In The Addition Sequence What Is After Emphasising Part-Part-Whole
Counting on
Using doubles
Make 10
Thinking in 10's
Extend language, introducing more symbols
In The Addition Sequence What Is After Extending Language
Counting on
Using doubles
Make 10
Thinking in 10's
Addition of 2 digit numbers
In The Addition Sequence What Is After Counting On
Addition of larger numbers
Using doubles
Make 10
Thinking in 10's
Addition of 2 digit numbers
In The Addition Sequence What Is After Using Doubles
Addition of larger numbers
Counting on
Make 10
Thinking in 10's
Addition of 2 digit numbers
In The Addition Sequence What Is After Making 10
Addition of larger numbers
Using doubles
Counting on
Thinking in 10's
Addition of 2 digit numbers
In The Addition Sequence What Is After Thinking In 10's
Addition of larger numbers
Using doubles
Make 10
Counting on
Addition of 2 digit numbers
What Is Last In The Addition Sequence
Addition of larger numbers
Using doubles
Make 10
Thinking in 10's
Addition of 2 digit numbers
Which Are Calculation Strategy For Addition And Subtraction
Patterns & Subitising
Counting on & Partitioning
Commutativity
Combinations of 10
Doubles & Near doubles
Which Are Think Strategies For Addition
Think addition
Adding to 10 and beyond
Commutativity
Combinations of 10
Doubles & Near doubles
Which Are Think Strategies For Subtraction
Think addition
Doubles and halves
Counting on
Combinations of 10
Doubles & Near doubles
What Are The Basic Multiplication Facts
2 factors
Product
Does not include 0
Communicative law
Associative property
What Are The Basic Division Facts
2 factors
Product
Does not include 0
Communicative law
Is inverse of multiplication
What Are The Prerequisite Skills For Multiplication And Division
Division is inverse of multiplication
Multiplicative properties
Repeated addition
Grouping objects of equal size
Skip counting
Define Distributive Property
Rearrangement of numbers
Sum remains the same regardless of grouping
Addends can be multiplied separately
How Can We Help Children Understand Multiplication
Repeated addition
Grouping objects of equal size
Arrays
Visualise
Skip counting
Which Are Calculation Strategies For Multiplication
Repeated addition
Lay out in groups
Arrays
Visualise
Skip count
How Can We Help Children Understand Division
Form equal sized groups
Use everyday problems
Share out
Double count
Skip counting
What Are The 2 Types Of Division Problems
Seperation
Comparison
Part-whole
Partitive
Quotitive
Which Are Calculation Strategies For Division
Sharing out
Lay out in groups
Double counting
Grouping into equal sets
Skip count
Which Are Thinking Strategies For Multiplication
Repeated addition & Skip counting
Mental review
Observe patterns & Commutativity
Twice as much & Working from facts of 5
Split the product into known parts
Which Are Thinking Strategies For Division
Think multiplication
Mental review
Repeated subtraction
Twice as much & Working from facts of 5
Split the product into known parts
Define Algebra
Tool
Study of patterns
Art
Language
Way of thinking
Define Algebraic Thinking
Recognition of patterns & Communicate
Investigate & Problem solve
Reason & Apply knowledge
Reversibility & Application of symbols
What Is Involved In Pre-Algebra
Symbols
Patterning
Generalising
Variation and change
Sorting & Classification
Define Variation
Element of repetition/ Symmetry
Compare
Order
Sort
Functional relationships
Define Pattern
Element of repetition/ Symmetry
Cyclic
Equal
Growing
Relationships between sets
Define Equivalence
Uses objects and numbers
Cyclic
Equal
Growing
Relationships between sets
What Are The 3 Types Of Relations
Properties
Function
Pattern
Equality
Define The Property Relation
Use understanding of operations to promote algebraic thinking
Relates 2 numbers
Input-output relationship
Equality
Define The Functions Relation
Use understanding of operations to promote algebraic thinking
Relates 2 numbers
Input-output relationship
Equality
What Algebraic Concepts Are Learnt In Preprimary
Copy, continue & create patterns
Skip counting
Investigate number system patterns
Skip counting patterns
Use of number lines
What Algebraic Concepts Are Learnt In Year 1
Copy, continue & create patterns by adding and subtracting
Skip counting
Investigate number system patterns
Skip counting patterns
Use of number lines
What Algebraic Concepts Are Learnt In Year 2
Copy, continue & create patterns by adding and subtracting
Skip counting
Identify & write rules for patterns
Skip counting patterns
Use of number lines
What Are The Misconceptions With Algebra
Lack understanding of the structure of mathematics
Meaning of brackets
Ordering of operations when subtracting
Meaning of signs and symbols
Complexity of language
When Teaching Algebra What Are Some Implications
Provide generalising opportunities
Connect algebra to other areas of mathematics
Consider the multiple ways to perform an operation
Concrete → Pictorial → Abstract
Learnt in meaningful contexts
What Are Some Considerations When Planning
Belief on how children
The learning envionment
Other collegues
Differing learning styles
Availability of resources
What Are Some Influences To Decision making
Curriculum
Knowledge of the child
Children's prior knowledge
Differing learning styles
Personal experiences
Which Is The Correct Planning Cycle
Collect → Question → Plan → Act → Reflect
Collect → Analyse → Plan → Do → Review
Analyse → Collect → Question → Plan → Act → Reflect
Question → Analyse → Collect → Plan → Act → Review
Which Is NOT A Level Of Planning
Day
Week
Unit
Term
Semester
What Are Some Contextual Information Considerations
Philosophy
Context
Rational/ Practice
Goals/ Objectives
Availability of resources
How Can We Determine Student Prior Knowledge
Belief on how children
Information from the child's family
Other collegues
Spiral curriculum
Observation & Assessment
Why Is Differentiation Important
Individual learning goals
Challenge all students
Extends thinking
Furthers learning and participation
Ways in which actions are carried out in the classroom
Define Pedagogical Differentiation
Individual learning goals
Challenge all students
Extends thinking
Furthers learning and participation
Ways in which actions are carried out in the classroom
What Are Some Teaching Strategies
Investigation & Demonstration
Discovery & Inquiry
Direct instruction & Modelling
Explore & Questioning
Problem based & Collaboration
What Are The 3 Types Of Assessment
Formative
Summative
Self reflection
Diagnostic
What Are The Qualities Of Effective Feedback
Evidence based
Ongoing
Includes effort
Improves self regulation
Collaborative
Which Is NOT A Way To Assess Learning
Floorbooks
Jottings
Interviews
Checklists
Observations
True Or False: Educators Use Pedagogical Documentation To Communicate With Families
True
False
What Are The Prerequisite Skills For Measurement
No gaps between units
Measure in direct lines
Begin where the scale starts
Number knowledge
Estimation
Define Measurement
Assigning a numerical value to an attribute
Comparing attributes
How much of an attribute
Way of describing the world
Which is The Correct Order Of Measurement Development
Compare → Order → Quantity
Order → Quantity → Compare
Quantity → Compare → Order
Which Of The 10 Concepts Learnt Through Measurement Is INCORRECT
A unit must remain constant
Measurement includes an attribute, number and unit
Encourage estimation
Two measurements can be compared if the same unit is used
One unit may be more appropriate than another
Which Of The 10 Concepts Learnt Through Measurement Is INCORRECT
Standard units are needed to communicate effectively
A smaller unit gives a correct measurement
Units can be combined and subdivided
The larger the unit the fewer required
Units must match the attribute
Which Is NOT A Type Of Camparison
Perceptual
Direct
Indirect
Unitising
True Or False: Comparing To A Referent Is A Strategy For Estimation
True
False
What Is Learnt First When Learning Measurement
Attributes
Direct comparison
Ordering
Non-Standard units
Standard units
What Is Learnt Second When Learning Measurement
Attributes
Direct comparison
Ordering
Non-Standard units
Standard units
What Is Learnt Third When Learning Measurement
Attributes
Direct comparison
Ordering
Non-Standard units
Standard units
What Is Learnt Fourth When Learning Measurement
Attributes
Direct comparison
Ordering
Non-Standard units
Standard units
What Is Learnt Fifth When Learning Measurement
Attributes
Direct comparison
Ordering
Non-Standard units
Standard units
What Is First In The Measurement Process
Identify the attribute
Select the unit
Select the instrament
Count
Communicate the result
What Is Second In The Measurement Process
Identify the attribute
Select the unit
Select the instrament
Count
Communicate the result
What Is Third In The Measurement Process
Identify the attribute
Select the unit
Select the instrament
Count
Communicate the result
What Is Fourth In The Measurement Process
Identify the attribute
Select the unit
Select the instrament
Count
Communicate the result
What Is Fifth In The Measurement Process
Identify the attribute
Select the unit
Select the instrament
Count
Communicate the result
Which Is An Example Of Descriptive Language
Tall/ Short
How Tall/ How short
Tallest/ Shortest
Which Is An Example Of Answer Language
Narrow/ Wide
How Narrow/ How Wide
Narrowist/ Widest
Which Is An Example Of Comparative Language
Heavy/ Light
How heavy/ How light
Heaviest/ Lightest
What Measurement Concepts Are Learnt In Preprimary
Direct comparison
Indirect comparison
Explain reasoning
Days of the week
Use of informal units
What Measurement Attributes Are Learnt In Preprimary
Length
Weight
Volume
Time
Capacity
What Measurement Concepts Are Learnt In Year 1
To compare, unit needs to be the same
Month, week, day and hours
Tell time to the quarter hour
Name and order months and seasons
Use of informal units
What Measurement Attributes Are Learnt In Year 1
Length
Area
Volume
Time
Capacity
What Measurement Concepts Are Learnt In Year 2
To compare, unit needs to be the same
Determine number of days in each month
Tell time to the quarter hour
Name and order months and seasons
Use the calendar to identify the date
What Measurement Attributes Are Learnt In Year 2
Length
Area
Volume
Time
Capacity
What Measurement Concepts Are Learnt In Year 3
Use of metric units
Recognise the importance of units
Tell time to the minute
Name and order months and seasons
Use the calendar to identify the date
What Measurement Attributes Are Learnt In Year 3
Length
Area
Volume
Mass
Capacity
Define Geometry
Shape, size, pattern and position
Use of spacial sense
Spacial orientation and visualisation
Learning about the world around them
True Or False: Spacial Reasoning Is NOT Developed By Manipulating Mental Images Of Geometric Concepts
True
False
Define Rigid Transformation
Shape of the original does not change
Shape of the original changes
What Is Another Word For Flip
Reflection
Translation
Rotation
Slide
Turn
What Is Another Word For Slide
Reflection
Translation
Rotation
Flip
Turn
What Is Another Word For Turn
Reflection
Translation
Rotation
Flip
Slide
Which Is First In The Development Of Geometry
Visualise spacial arrangements
Communicate & Use mathematical language
Draw and make models
Logical thinking
When Developing Geometry What Is After Visualising Spacial Arrangements
Apply concepts and knowledge
Communicate & Use mathematical language
Draw and make models
Logical thinking
When Developing Geometry What Is After Communicating Using Mathematical Language
Apply concepts and knowledge
Visualise spacial arrangements
Draw and make models
Logical thinking
When Developing Geometry What Is After Drawing And Making Models
Apply concepts and knowledge
Communicate & Use mathematical language
Visualise spacial arrangements
Logical thinking
What Is The Final Step In The Development Of Geometry
Apply concepts and knowledge
Communicate & Use mathematical language
Draw and make models
Visualise spacial arrangements
Which Are The Relevant Levels From Van Heile's Theory
Precognition
Visualise
Analyse
Informal/ Formal deductions
Rigour
What Is Involved In Van Heile's Precognition Level
Distinguish and name shapes
Only attends to some characteritsics
Consider the properties of shapes
Exposure to shapes in differing orientations
Compare and contrast geometric features
What Is Involved In Van Heile's Visualise Level
Relate positions of objects
Only attends to some characteritsics
Consider the properties of shapes
Exposure to shapes in differing orientations
Compare and contrast geometric features
What Is Involved In Van Heile's Analyse Level
Recognise the properties of shapes
Observe geometric parts in patterns and pictures
Transformations
Dynamic imagery
Compare and contrast geometric features
Define The First Precognitive Stage Of Learning Shape
Focus on some visual cues
View the shape as a whole
Relationship between parts of shapes and attributes
Interrelate geometric properties
Form abstract definitions
Define The Second Visual Stage Of Learning Shape
Describe attributes based on visualisation
View the shape as a whole
Relationship between parts of shapes and attributes
Interrelate geometric properties
Form abstract definitions
Define The Third Descriptive/ Analytic Stage Of Learning Shape
Distinguish between sets of properties
Use deduction to prove statements
Relationship between parts of shapes and attributes
Interrelate geometric properties
Form abstract definitions
Define The Fourth Abstract/ Relational Stage Of Learning Shape
Distinguish between sets of properties
Use deduction to prove statements
Relationship between parts of shapes and attributes
Interrelate geometric properties
Form abstract definitions
Define The Fifth Formal Axiomatic Stage Of Learning Shape
Distinguish between sets of properties
Use deduction to prove statements
Relationship between parts of shapes and attributes
Interrelate geometric properties
Form abstract definitions
What Do Children Need To Learn About 3D Shapes
Properties of shapes
Reason and think geometrically
Explain how objects are alike/ Different
Names of shapes
Create face and edge models
What Do Children Need To Learn About 2D Shapes
Need to be exposed to multiple representations
Names of common shapes
Focus on attributes
Define and classify solids
Create face and edge models
Define Location And Transformation
Location, movement, maps & plans
Direction, distance & position
Describe familiar landmarks
Shape
What Are The Geometry Sub Strands
Shape
Location and transformation
Geometric reasoning
Measurement
What Shape Concepts Are Learnt In Preprimary
Sort, describe and name shapes
Shapes in the environment
Recognise and classify shapes
Describe and draw 2D shapes
Describe key features of 3D shapes
What Location And Transformation Concepts Are Learnt In Preprimary
Describe position and movement
Interpret everyday language of location and direction
Follow and give directions
Interpret simple maps of familiar locations
Interpret simple grid maps
What Shape Concepts Are Learnt In Year 1
Sort, describe and name shapes
Describe shapes and objects using everyday words
Recognise and classify shapes
Describe and draw 2D shapes
Describe key features of 3D shapes
What Location And Transformation Concepts Are Learnt In Year 1
Describe position and movement
Interpret everyday language of location and direction
Follow and give directions
Interpret simple maps of familiar locations
Interpret simple grid maps
What Shape Concepts Are Learnt In Year 2
Sort, describe and name shapes
Make models of 3D shapes
Identify geometric features
Describe and draw 2D shapes
Describe features of 3D shapes
What Location And Transformation Concepts Are Learnt In Year 2
Describe position and movement
Interpret everyday language of location and direction
Follow simple directions to arrange objects
Interpret simple maps of familiar locations
Interpret simple grid maps
What Shape Concepts Are Learnt In Year 3
Sort, describe and name shapes
Make models of 3D shapes
Identify geometric features
Create 3D shapes
Describe key features
What Location And Transformation Concepts Are Learnt In Year 3
Identify symmetry in the environment
Interpret everyday language of location and direction
Follow simple directions to arrange objects
Create maps
Interpret simple grid maps
What Geometric Reasoning Concepts Are Learnt In Year 3
Identify angles
Compare angles
Follow simple directions to arrange objects
Create maps
Interpret simple grid maps
When Teaching Shape What Are Some Implications
Geoboards
Barrier games
Find shapes in the environment
Pattern blocks
Circle games
When Teaching Location And Transformation What Are Some Implications
Open doors at different angles
Jigsaws
Puzzles
Bird's eye views
Circle games
When Teaching Geometric Reasoning What Are Some Implications
Open doors at different angles
Recognise angles on clocks
Puzzles
Bird's eye views
Circle games
Define Probability
Chance of something happening
Think of outcomes in relation to chance
Collection and analysis of data
Needs to have a purpose
Links to real world experiences
Define Statistics
Explain reasoning behind classifications
Pose questions for problem solving
Collection and analysis of data
Needs to have a purpose
Links to real world experiences
Why Is Probability And Statistics Important
Social relevance
Stimulates thinking
Understanding of percentage
Numeral methods to describe and analyse the world
What Is First When Problem Solving
Explore the problem
Predict
Model
Gather data
Organise information
When Problem Solving What Is After Exploring The Problem
Construct and interpret
Predict
Model
Gather data
Organise information
When Problem Solving What Is After Predicting
Construct and interpret
Validate conclusions
Model
Gather data
Organise information
When Problem Solving What Is After Modelling
Construct and interpret
Validate conclusions
Create their own problems
Gather data
Organise information
When Problem Solving What Is After Gathering Data
Construct and interpret
Validate conclusions
Create their own problems
Model
Organise information
When Problem Solving What Is After Organising The Information
Construct and interpret
Validate conclusions
Create their own problems
Gather data
Model
When Problem Solving What Is After Constructing And Interpreting
Model
Validate conclusions
Create their own problems
Gather data
Organise information
When Problem Solving What Is After Validating Conclusions
Construct and interpret
Model
Create their own problems
Gather data
Organise information
What Probability & Statistics Concepts Are Learnt In Preprimary
Yes/ No questions
Describe chance using everyday language
Determine questions to gather appropriate responses
Describe displays
Classify events in terms of likelihood
What Probability & Statistics Concepts Are Learnt In Year 1
Identify questions of interest
Describe chance using everyday language
Determine questions to gather appropriate responses
Describe displays
Classify events in terms of likelihood
What Probability & Statistics Concepts Are Learnt In Year 2
Identify questions of interest
Identify and sort categories of data
Gather relevant data
Conduct chance experiments
Classify events in terms of likelihood
What Probability & Statistics Concepts Are Learnt In Year 3
Identify questions of interest
Interpret and compare data
Create displays
Conduct chance experiments
Plan and carry out investigations
Which Is The First Of The 5 Steps For Data Representation And Interpretation
Formulate questions
Collect data
Organise and represent data
Analyse data
Interpret data
Which Is Second Of The 5 Steps For Data Representation And Interpretation
Formulate questions
Collect data
Organise and represent data
Analyse data
Interpret data
Which Is Third Of The 5 Steps For Data Representation And Interpretation
Formulate questions
Collect data
Organise and represent data
Analyse data
Interpret data
Which Is Fourth Of The 5 Steps For Data Representation And Interpretation
Formulate questions
Collect data
Organise and represent data
Analyse data
Interpret data
Which Is Fifth Of The 5 Steps For Data Representation And Interpretation
Formulate questions
Collect data
Organise and represent data
Analyse data
Interpret data
