Rhodes > South African Numeracy Chair Project > Resources > Video Resources > Teacher Dev

## Lila and the Zone of Proximal Development

In September 2012 my five year old daughter, Lila Rose came running excitedly into the kitchen with television remote in hand yelling: “Mommy I’ve  worked out how to count in threes, I’ve worked out how to count in threes”. Interested in her excitement and its ability to get her away from the television to which she had been glued I asked her how she had figured this out. “Look mommy” she said pointing to the ‘3’ ‘6’ and ‘9’ buttons on the remote – “its 3, 6, 9”. I quickly grabbed my cell phone and asked her if she would explain to me again.

The video below shows this interaction and illuminates how relatively simple questioning invokes the creation of a Zone of Proximal Development (ZPD) (Vygotsky, 1978) space in which Lila extends her discovery beyond the three numbers shown on the remote and thus beyond the concrete to the abstract nature of the pattern and how the pattern works.

My motivation for sharing this is firstly to share that learners clearly know a lot more mathematics than we think when they enter school and that their environments (even the TV room) are rich contexts for mathematical exploration and extension if we choose to engage with our children and our learners in these contexts.  Prof Mellony Graven

Click on the link for a video transcript of Lila and the ZPD.

## The Laughing Child

In November 2013, Harry Dugmore talked to us about "The Laughing Child" which highlights the importance of laughter in homes and school environments. Have a look at the TEDxRhodesU video below.

## Maths Videos from Teaching Channel

#### Beyond Fingers: Place Value & the Numbers 11-19

• Understand the numbers 11-19 as 10 ones and some further ones

#### Silent Signals in the Maths Classroom

• Communicate learning with silent signals in Foundation Phase classrooms

#### Reasoning About Multiplication & Division

• Build understanding of multiplication and division. Grades 3-5. Maths strategies

• ### Latest SANC News

Read more about each event on our ARCHIVE page. 2018 is off to a good start. Have a look at what we've been up to.

• Profs Graven & Jorgensen sharing math story time activities in Australia
• Debbie Stott presented a plenary and various sessions at Namibian 13th National Mathematics Congress - 14 May to 17 May 2018
• SAARMSTE EC Colloquim - 12th May 2018 (Venue RU)
• Merrilyn Goos presentations

• ### What's new?

NEW Resources:
• ### Latest Publications

Visit our Publications page for all publications since 2011 or individual pages for team members

• Stott articles in For the Learning of Mathematics (March 2018)
• Stott in book: Signs of Signification Semiotics in Mathematics Education Research
• Research team Long papers, plenaries and panel discussions for SAARMSTE
• Graven and Coles in ZDM
• Sibanda in AJRMSTE

Latest Doctoral / Masters Theses

• Masters
• Hebe (2018)
• Stevenson-Milln (2018)
• Young (2016)
• Wasserman (2015)
• Long (2014)
• Doctoral
• Robertson (2018)
• Sibanda (2016)
• Stott (2014)
• Pausigere (2014)

For other student thesis, visit the Students Page

• ### Upcoming Events

• Development projects:
• Post Grad Numeracy Writing Group: next session on 16th July
• eNICLE: fourth session will be on 14th August
• Maths clubs and other club related initiatives started in February
• Conferences:
• AMESA - Bloemfontein 25 to 29 June 2018
• MERGA - Auckland (New Zealand) 1 to 5 July 2018
• PME - Umea (Sweden) 3 to 8 July 2018
• RU Postgraduate Conference 26 & 27 July 2018
• SAARMSTE EC Colloquim - 22nd September 2018 (Venue TBC)