Counting | Samples | Other Resources

Counting


What is mathematics? Some say the mathematics is what we do in class at school or maybe what mathematicians do but mathematics is much more than that!

A mathematician named Alan Bishop has said that mathematics is counting, measuring, and locating. When you design, explain or play with counting, measuring or locating, you are doing math. This is common to all cultures. If you think of mathematics in this way, you might begin to see it all around you. Be a mathematician and explore counting!

Every culture has a way to count. I may involve tallying, or using objects or string to record, or special number words or names. These words might sound different and the symbols might look different, but they describe the same quantities.

For example, in your class, some students or your teacher may know more than one language and may be able to teach you their counting words and symbols; or, in your community, an elder may be able to teach you their counting words and symbols. As a class, consider creating a chart showing the numerals from 1 to 10 and from 10 to 100 by 10s. Write the names of the numbers in English and other languages that are spoken in your class or community. As your class reads these counting words to 10, use your fingers to show how many you are counting.

Counting develops number language, number imagery and number systems. For your contest entry, here are some counting ideas that you might choose to explore:
  • numbers
  • number patterns
  • number relationships
  • developments of number systems
  • algebraic representation
  • infinitely large and small
  • events, probabilities, frequencies
  • numerical methods
  • iteration
  • combinatorics
  • limits

Get creative!

Explore counting and tell me about it through posters, presentations, videos, art projects, or anyway you can think of to “Show Me Your Math!.”

Samples

Yukon Samples


? Count to Five in Five Yukon Native Languages (Northern Tutchone, Hän, Kaska, Gwich'in, Tlingit)
? Count to Five in Five Yukon Native Languages (Northern Tutchone, Hän, Kaska, Gwich'in, Tlingit)
? Count to Five in Five Yukon Native Languages (Northern Tutchone, Hän, Kaska, Gwich'in, Tlingit)
? Count to Five in Five Yukon Native Languages (Northern Tutchone, Hän, Kaska, Gwich'in, Tlingit)

Eliza Van Bibber School, Pelly Crossing - Northern Tutchone

This movie was done in Pelly Crossing in November 2011:


Robert Service School, Dawson City - Hän

These movies were done in Dawson City in November 2011:
(Kindergarten Group 1)

(Kindergarten Group 2)

(Kindergarten Group 3)


Ross River School, Ross River - Kaska

Here is an example of a project that was done in Ross River in May 2010:
(Please note that the words in the book are spelled phonetically.)

Yukon Education Mathematics Blog

http://yukon-education-mathematics-blog.blogspot.com/2011/12/show-me-your-math-spawning-salmon.html

Yukon Native Language Center

Kaska
http://www.ynlc.ca/materials/lessons/smithtg/07mar/03num1/marnum1.html

Samples From Other Jurisdictions


Other Resources

Yukon Native Languages Map


external image ynlmap.gif
http://www.yesnet.yk.ca/firstnations/languages.html

BC Native Languages



Children's Literature

In the book "Only One", the author gives numbers to things. For example, "There may be a million stars, But there is only one sky . . . There may be 100 patches, But there is only one quilt." The book counts down from a million to 1. A million, 50 000, 500, 100, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1. Each count contrast a group with a single thing. Consider making a unique counting book similar to "Only One" as your contest contribution!
external image 61HWX5ZEH0L._BO2,204,203,200_PIsitb-sticker-arrow-click,TopRight,35,-76_AA300_SH20_OU15_.jpg

NCTM

Enriching Number Knowledge
Nancy K. Mack
Exploring number systems of other cultures helps students deepen mental computation fluency, knowledge of place value, and equivalent representations for numbers.
Online Extra: Game directions and number cards

Yukon Education Teachers' Professional Library

Mathematics From Many Cultures K 2991
Pages 29-37 Sixties, Twenties, and Fives
Number systems used by Babylonian, Maya, and Chinese people.
For more info or to borrow:
http://educationlibraries.gov.yk.ca/cataloging/servlet/presenttitledetailform.do?siteTypeID=-2&siteID=&includeLibrary=false&includeMedia=true&mediaSiteID=123&bibID=180170&walkerID=1325705245362