CUSTOMISED
WORKSHOPS

Workshops that will

ENGAGE, ENERGISE,EMPOWER

Workshops can be customised to meet your school’s specific needs.

Workshops can be 2- 3 hours, half days or full days, at dates that suit your school.

SUBJECTS:

  • Mental Maths

  • Mental Calculating Strategies

  • Open ended maths tasks

  • Framework for Problem Solving

  • Maths Games

  • Understanding Place Value

  • Understanding Fractions and Decimals

AVANTI MENTAL

MATHS

The following one-day workshop can be presented in three modules of approximately 2 hours each.  Resource books that support this workshop are

  • Avanti Mental Maths, 3rd edition (2011)

  • Avanti Games for Recall of Number Facts (2019)

 

MODULE 1: OPEN ENDED TASKS

This aims to help students explore numbers to strengthen understanding of numbers, number relationships and properties of numbers as well as examine the different way that numbers can be represented.  There is an emphasis on concrete and pictorial representations of numbers to assist with understanding and discussion of ideas.  Connections between the four operations will also be discussed.

 

MODULE 2: MENTAL CALCULATING STRATEGIES

A variety of mental calculating strategies will be highlighted.  This will be followed by practical ideas for teaching these strategies explicitly.  It will be recommended that teachers plan to teach 2 mental strategies per term while revising, re-visiting and validating results using other strategies. The learning sequence involves using a variety of concrete materials to represent and demonstrate the strategies, followed by the creation of informal algorithms to reflect the thinking steps and ‘working out in the head’ process.  Eventually both of these are discarded so that the process becomes ‘mental’.

 

Module 3: GAMES FOR RECALL OF NUMBER FACTS

Instant recall of tables and basic number facts is essential to calculating efficiently.  The more number of facts students can recall instantly, the easier it will be for them to calculate mentally.  A variety of simple and practical ways to help students understand and recall number facts will be explored.  Games utilizing cards, dice and dominoes will be presented.  Discussion will also include ways to modify the games to make them simpler or more challenging in order to meet the needs of the students.

A FRAMEWORK FOR PROBLEM SOLVING: SAILING THE 5Cs

(3 Hours). Authentic problem solving involves solving non routine or unfamiliar problems.  Some difficulties faced by students when solving problems include not knowing:

  • what the question is asking or key information in the problem;

  • appropriate strategies to choose and use;

  • how to use the strategies or apply mathematical operations to get results;

  • how to judge whether results make sense or are reasonable;

  • how to communicate results, reflect and learn from the problem solving process.

This workshop is based on a 5 step general framework for problem solving:

CLARIFY,   

CHOOSE,

CARRY OUT,

CHECK,

COMMUNICATE

  • The model aims to provide a framework or structure to scaffold students’ problem solving to enable them to become independent, confident and successful problem solvers.

  • The framework can be modified to suit students from PP to Year 12.

  • Within each step of the model, key questions will be developed.The aim is for students to eventually ask these questions themselves.

  • Within the framework, students are encouraged to build a tool box of problem solving strategies.

  • Within the framework, students are encouraged to reflect on their learning.

  • This workshop addresses the proficiency strands of the Australian Mathematics Curriculum; i.e. mathematical understanding, fluency, problem solving, reasoning.

  • This workshop aims to increase teacher confidence for solving problems and teaching problem solving.

© Ellita De Nardi