Creating a path
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 MATHEMATICS:  GRANVILLE EAST ROUND, 2019
​FOCUS ON CONCEPTUAL DEVELOPMENT

 ASPECT #1: Is there a focus on a big idea to develop conceptual understanding?
  1. Firstly, there are two very short videos featuring Di Siemon:"The Big Ideas in Number" and "You Cannot Teach a Concept"
  2. A collated summary of two articles by Diane Siemon, "Working with the Big Ideas in Number" and "There's More to Counting than Meets the Eye". Click here to download this document.
  3. For those who'd like to see references & curriculum links - chapter_2_siemon_1_.pdfhere's the full chapter.
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Professional Learning Resource: : Here's a website that focuses on professional learning activities based on evidence-based strategies. One great section is on the importance of identifying misconceptions.

​Click on the image to find the website of the  ​"Developing a Rich Network of Mathematical Knowledge" by the  Educational Endowment Foundation"

"Subitising Through the Early Years" The following article provides detailed information about the critical skill of subitising, which is a part of "Trusting the Count".  There are lots of illustrations of the concept, along with activities that teachers could use.
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Explanation of the Interview for Student Reasoning
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"Teaching with the Big Ideas in Mathematics". Fabulous resource from the Victorian Department of Education Click here to download
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 ASPECT #2 Are we designing challenging tasks that provide opportunities for a range of responses?
  1. "The Role of Challenging Mathematical Experiences" from reSolve (click on the image below to download the presentation). Be sure to listen to the audio snippets where they're available.
  2. Read the summary document "The Role of Mathematical Tasks" (click here to download)
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ASPECT #3 How should we plan Number Talks?  There is a reading and viewing for this aspect. 
  1. Read the article, "Number Talks Build Numerical Reasoning" by S Parrish (click here to download), also handout in green section below
  2. View the short video, "Number Talks, 1st Grade Example"
  3. Another fabulous routine to get students talking about their understandings is illustrated below in "My Favourite No"
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Other Recommended Resources

  1. Chapter 1 from "Intentional Talk" gives a 4 principles for leading mathematical discussions and a wonderful example of how a teacher puts these into practice in a series of lessons. Click here to download
  2. Focusing & Funelling (and other aspects of teacher questioning)  With links to "Questioning the Pattern of Our Thinking", a blog by Mark Chubb.  Click here to download
  3. "Creating Mathematical Mindsets" is an extract from chapter 4 in Jo Boaler's book.  This chapter emphasises that conceptual understanding is at the heart of maths,  and that students need a mathematical mindset to engage effectively with Maths  Click here to download
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© COPYRIGHT 2015. ALL RIGHTS RESERVED.
  • Home
  • Vaucluse PS Mathematics 2025
  • Instructional Rounds
    • IR Our Network
    • Steps in the IR Process
    • Steps in the IR Process No 2
  • Leading Change
    • Leading Professional Learning
    • Strategic Planning
    • Leading Curriculum
    • The Dilemmas of Assessment
    • Recent Research to Guide Impactful Teaching
  • Worthwhile Lessons
    • Scaffolding for Autonomous Learners
    • Engaging Learners Strathfield Nth 2022
    • Explicit, autonomous learners Old Guildford 2021
    • OGPS Follow UP
    • Rigour & High Expectations Burwood PS 2021
    • Enfield PS 2019 Challenge
  • Visible Learning
    • Strathfield North Round
    • Formative Assessment
    • Self-Regulated Learning
    • Feedback
  • Mathematics
    • Explicit Teaching BPS 2024
    • Worthwhile Maths Lessons BPS 2023
    • Maths Overview VPS 2023
    • Thinking Mathematically Enfield PS 2022
    • Rich Mathematical Tasks SNPS 2023 & 2024
    • Mathematics Old Guildford PS
    • Working Mathematically
    • Maths Engagement
    • Mathematics Conceptual Development
  • Active, Engaged Thinkers
    • Agency GEPS 2024
    • GEPS 2023 Agency
    • Deep Thinking OGPS 2022
    • Self-Regulated Learners
    • Student Talk GEPS 2020
    • Creative and Critical Thinking
    • Curiosity & Deep Thinking 2018
    • Engagement
  • English
    • The Teaching of Reading >
      • Reading Research Background
    • Writing to Learn
    • Enfield PS Writing 2024
  • Supporting learning
    • Explicit Instruction
    • Enfield Round
    • Inquiry Learning
  • Archives
  • Blog
  • Musings