ALiM resources | NZ Maths

This collection of resources has been developed to support the implementation of the Accelerated Learning in Mathematics (ALiM) project.

2021-22 resources

Level 2	Addition basic facts Finding differences between whole numbers Multiplication as a binary operation Place value of whole numbers to 3 places Fractions as numbers (Level 2) Classification of two-dimensional shapes Area using direct comparison and informal units Deriving basic multiplication facts Volume and capacity by direct comparison and use of informal units Division (deriving from known facts)
Level 2-3	Using whole number place value for two-digit addition and subtraction Measurement scales with whole numbers Using place value to add and subtract three-digit whole numbers
Level 3	Multiplication as scaling (stretching and shrinking) Division as equal sharing Division as equal subtraction (quotative) Fractions as numbers Fractions as operators Multiplication and division by powers of ten Finding and expressing relationships (Level 3) Classification of three-dimensional shapes
Level 3-4	Fractions in ratios Putting decimal place value to work Area and perimeter of rectangles Volume and surface area of cuboids
Level 4	Percentages as change Using percentages to represent part-whole relationships Finding and expressing relationships (Level 4) Integers Rates – using multiplication and division Working with numeric data

2011 resources

A: Learning to use counting from one to solve problems

B: Learning to use advanced counting to solve problems

C: Learning to use part–whole thinking to solve problems

D: Learning to use place value and part–whole thinking to solve problems

E: Learning to understand and use place value to solve problems

F: Learning to use basic facts to solve problems

G: Learning to use multiplication and division to solve problems

H: Learning to use decimals to solve problems

2012 resources

1: Fostering positive mathematical identities

2: Helping students develop the specialised language of mathematics

3: Supporting English language learners with the language of mathematics

4: Strategies for teaching mathematical language to English language learners

5: Helping students to participate in learning conversations

6: Building understanding through effective questioning and modelling

7: Exploring measurement

8: Creating purposeful independent activities

9: Using ICT to support ALiM programmes

10: Shifting students from NZC Level 2 to Level 3 by developing multiplicative strategies

11: Addressing avoidance behaviours in mathematics classes

12: Challenging students with problems

Beliefs underpinning effective teaching of mathematics:

Every student’s identity, language, and culture is respected and valued.
Every student has the right to access effective mathematics education.
Every student can become a successful learner of mathematics.

Ten principles of effective teaching of mathematics:

An ethic of care
Arranging for learning
Building on students’ thinking
Worthwhile mathematical tasks
Making connections
Assessment for learning
Mathematical communication
Mathematical language
Tools and representations
Teacher knowledge

See Effective Pedagogy in Mathematics by G. Anthony and M. Walshaw, Educational Practices Series 19, International Bureau of Education, available at: www.ibe.unesco.org