Resources from Results Plus

Martin Westwell (@martinwestwell)

We need to provide students with:
* opportunities for dialogue
* authentic problem solving
* applied problem solving
* role playing methods

Easier to do in Science as a Human Endeavour, Maths proficiencies, and play based learning.
Toolkit available at

How do we design learning to stretch all students?

The rule of three – Maria Droujkova –

Provide three different ways – students to draw core idea out
– synthesise – pattern – generalisation

Di Siemen – Big Ideas in Mathematics – Victorian Education Department

Website to explore:

Adding it up – Helping Children Learn Mathematics – research that has informed Australian Curriculum

Results Through the Plus!


The Big 6

  1. Oral Language
  2. Phonological Knowledge
  3. Letter-Sound Knowledge
  4. Vocabulary
  5. Fluency
  6. Comprehension

90/10 Principle – 90% about the enactment/ pedagogy and 10% the program

Implementation trumps impact

Holding the line – Conferencing


Passive Active
Low Challenge High Challenge
teacher select books/ texts Learners select books/ texts
Teachers manage learners progress Learners monitor their progress
Teachers control the tasks and choices Learners negotiate tasks and choices

Conferencing with individual students about their reading comprehension allows:

the learner to direct the conversation, by referring to their notes

mirroring of student thinking

modelling of think-aloud

making notes for intentional teaching (catering for student needs)

activating learning goals

formative assessment



Effective conferences motivate learners to make connections, find relationships and justify their thinking.


“…it’s how they think.” – Assumptions make an impact

Top 9 aspects that make a difference to student learning:

  1. student expectations (self reported grades)
  2. response to intervention
  3. formative teacher evaluation
  4. feedback
  5. metacognitive strategies
  6. direct instruction
  7. peer tutoring
  8. classroom management
  9. parental involvement

What will you hold the line on?

How will you hold the line?

Mathematical Mindsets – Jo Boaler (text)

Most Likely to Succeed – movie

The First 20 Hours – TED Talk

Val Westwell – Maths

Multiple representations and multiple pathways  – to develop number sense

Low achievers

  • don’t use numbers flexibly
  • use harder methods

Adding it Up

  1. Ideas and methods are valued
  2. Students have autonomy in choosing and sharing their methods of solving problems
  3. There is an appreciation of the value of mistakes as a sign of learning

Dr Amie Albrecht


Important skills looked for in Careers which use Maths

  • Active learning (on the job)
  • Critical thinking
  • Complex problem solving
  • Creative problem solving
  • Interpersonal skills – oral and written communication


Operations Research in Practice follows these steps

  1. Define the problem
  2. Construct a mathematical model
  3. Solve the problem
  4. Validate the model
  5. Implement the recommendations


Maths Photo Challenge