EDMT 3420/MATH3821/MATH7821 Introduction to Ethnomathematics Fall 2012 Tuesday, Oct.9, 2012

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EDMT 3420/MATH3821/MATH7821 Introduction to Ethnomathematics Fall 2012 Tuesday, Oct.9, 2012. Introduction: Part II of the course Revisiting the syllabus: Homework, exams etc. Ethnomathematics: Main ideas Definitions ( Ascher &amp; D’Ambrosio ) Examples

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EDMT 3420/MATH3821/MATH7821 Introduction to EthnomathematicsFall 2012

Tuesday, Oct.9, 2012

• Introduction: Part II of the course
• Revisiting the syllabus: Homework, exams etc.
• Ethnomathematics:
• Main ideas
• Definitions ( Ascher & D’Ambrosio)
• Examples
• Games across cultures: Introduction
• Group Activities:
• Game1 : AMPE
• Game2: SEIG
• Game3: LU-LU
Main Ideas: Ethnomathematics
• Many cultural activities that at first appear to be non-mathematical in fact involve nontrivial mathematical concepts.
• Different cultures interpret, understand, and express mathematics in very distinct ways.
• Ethnomathematics involves anthropology, linguistics, foreign languages, sociology, etc.
Ethnomathematics: Definitions
• What is ethnomathematics?
• D’Ambrosio (2001) explains, “Ethnomathematics is the mathematics practiced by cultural groups, such as urban and rural communities, groups of workers, professional classes, children in a given age group, indigenous societies, and so many other groups that are identified by the objectives and traditions common to these groups”.
• Ascher (1990) defines ethnomathematics as “the study of the mathematical ideas of non-literate people”.

Examples of ethnomathematical ideas

• Indigenous Technologies :
• Mural designs
• Architecture
• Textile designs
• Indigenous practices
• Games
• Divination
• Kinship relations

Games are part of human culture linked to the traditions of a cultural group

• Indigenous games can also be regarded as culturally specific
• A culturally specific game is defined as “an activity in which one or more people may be involved, following a set of rules, and the players engage in this activity to arrive at certain outcomes. The outcomes may be the completion of a particular configuration, or the winning of a game. The importance of the game with its social and cultural implication would then qualify this game to be a cultural game. Specific terminology and language used within different cultural groups further categorizes this cultural game into a culturally specific game”. ( Mosimege, 2002, p.31)
• A way to revive and valorize the heritage of cultural traditions

Games across Cultures: Introduction

Probability Notions
• Experiment/ trial: a process - natural or set up deliberately - that has an observable outcome. An experiment has a random outcome if the result of the experiment can't be predicted with absolute certainty.
• An event is a collection of possible outcomes of an experiment. Events are assigned a measure of certainty which is called probability.
• Probability: the likelihood of an event happening. The event Φ that never happens is impossible and has probability 0. The event Ω has probability 1 and is certain or necessary.
• The starting point is the sample (or probability) space - a set of ALL possible outcomes .

DREIDEL

MANCALA

SONGISH

KAKAANAQ

YUT-NORI

ASHBII

TOTOLOSPI

NIM

LU-LU

PEG COMBO

IBA-ITA

AMPE

PARCHEESI

SEIG