## 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. We have had a busy six months in 2017. Have a look at what we've been up to.

• SEMT in Prague: Graven and Stott proceedings
• Conference papers and presentations: AMESA (Port Elizabeth), PME (Signapore), MERGA (Melbourne)
• Early Number Fun Story Books for families and teachers was published in Grocotts in June & July.
• 13th May: Story Book session with families, CE volunteers and ECD practitioners

• ### What's new?

NEW Resources:
• ENF and eNICLE session resources
• Conference papers and presentations on ARCHIVE page
• Resources for Families
• All ENF session resources in one place
• Creative Commons Licences applied to various resource pages
• ### Latest Publications

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

• Research team Long papers, plenaries and panel discussions for SEMT, AMESA, MERGA and PME
• Graven and Coles in ZDM
• Sibanda in AJRMSTE
• Project team chapters in Improving Primary Mathematics Education, Teaching and Learning Research for Development in Resource-Constrained Contexts book
• Graven, Phakeng, Nyabanyaba: Establishing a community of practice of leading African scholars in mathematics education: The significant contribution of Prof. Jill Adler

Latest Doctoral / Masters Theses

• Masters
• Young (2016)
• Wasserman (2015)
• Long (2014)
• Doctoral
• Sibanda (2016)
• Stott (2014)
• Pausigere (2014)

For other student thesis, visit the Students Page

• ### Upcoming Events

• 20th to 22nd SeptAnne Bennison visiting the project and offering various workshops and lectures to the team and faculty
• COP forum 26-27 Sept in Johannesburg (includes meet up with Assessment group)
• Upcoming conferences:
• SAEREA conference - Port Elizabeth (October). Team members will be presenting.
• SARAECE conference - Grahamstown (23rd to 26th October 2017). Team members will be presenting.
• SAARMSTE conference - Gaberone (January 2018). Team members will be presenting.