Teachers Council Registration Criteria 3
Demonstrate commitment to bicultural partnership in Aotearoa New Zealand
Key Indicator: to demonstrate respect for the heritages, languages and cultures of both partners to the Treaty of Waitangi
Reflective Question: In my teaching, how do I take into account the bicultural context of teaching and learning in Aotearoa New Zealand?
Background Readings: Researching the teaching of the algebra in Tukutuku patterns, one should look for a branch of mathematics called ethnomathematics. Ethnomathematics is the mathematics that is involved in the art and culture associated with different civilisations. See the relevant readings at the bottom of the page.
Teachers Council Registration Criteria 8
Teachers demonstrate in practice knowledge and understanding of how ākonga learn
Reflective Questions: How does my practice reflect that I understand the main influences of how my ākonga learn? Why teach about algebra in the context of Tukutuku?
"In order to make mathematics more meaningful and accessible for all learners, mathematics curricula frequently advocates the use of contexts. In this sense ‘context’ refers to real or imaginary setting for a mathematical problem, which illustrates the way the mathematics is used." (Anthony & Walshaw, 2007, p114)
Background Readings Kura share educational standards and practices for philosophy, organisation and curriculum that can create and sustain authentic global learning communities. In schools, ākonga learn about the world from the curriculum and from their interactions with other people. Teaching and learning in a global context help ākonga become curious, knowledgeable, and compassionate individuals. This prepares them to contribute to a better and more peaceful world by fostering intercultural understanding and respect. See the following reading: BES Evidence Synthesis Mathematics https://www.educationcounts.govt.nz/publications/series/2515/5951
Mathematics in New Zealand Curriculum Document and various teaching resources:
Level 3: Algebra
Sequential Patterns - connect members of sequential patterns with their ordinal position and use tables, graphs and diagrams to find relationships between successive elements of number and spatial patterns.
Level 4: Algebra
Spatial Patterns - use graphs, tables and rules to describe linear relationships found in number and spatial patterns
Level 5/6: Algebra
See the other curriculum/teaching resources at the bottom of the page
https://nzmaths.co.nz/resource/tukutuku-patterns-0
https://nzmaths.co.nz/resource/tukutuku-patterns
Photo and Video Resources
Other Tukutuku patterns:
See images of aoraki https://my.christchurchcitylibraries.com/puawaitanga-o-te-ringa/aoraki/
See images of waharua https://my.christchurchcitylibraries.com/puawaitanga-o-te-ringa/waharua/
See images of Purapura whetu https://my.christchurchcitylibraries.com/puawaitanga-o-te-ringa/purapura-whetu/
See images of mumu https://my.christchurchcitylibraries.com/puawaitanga-o-te-ringa/mumu/
See images of Ngā Heke Iho https://my.christchurchcitylibraries.com/puawaitanga-o-te-ringa/nga-heke-iho/
See Tukutuku in the Te Ara Encyclopedia https://teara.govt.nz/en/interactive/43489/types-of-tukutuku-designs
Background Readings for Teaching Council Criteria
Mathematics in the New Zealand Curriculum Documents and teaching resources
Below are some resources collected over the years at various NZAMT conferences, AAMT workshops, etc.
This teaching resource has been prepared and printed under the umbrella of the Waikato Museum and HAMILTON CITY COUNCIL 2007-10-02. This document is an educational tool to assist the varying schools wishing to expose their students into the world of the ancient Maori with contemporary issues if needed.
Adapted from the work of the late Peter Hughes, a renowned maths teacher and Auckland University lecturer.
This resource has been created as a result of the Ministry of Education contract for "Learning Experiences Outside the Classroom". This resource has been designed for Kura Kaupapa, Total Immersion, Bilingual and Kohanga Reo schooling initiatives. The resource incorporates appropriate achievement objectives from the National Curriculum Framework of New Zealand. The Curriculum Statements covered are Te Reo Maori, Pangarau, English and Mathematics (Levels 1-4). 1997 Auckland Museum.