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

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 & D’Ambrosio ) Examples

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

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  1. 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

  2. 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.

  3. 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”.

  4. Examples of ethnomathematical ideas • Indigenous Technologies : • Basket ware • Beadwork • Mural designs • Architecture • Textile designs • Indigenous practices • Games • Divination • Kinship relations

  5. 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

  6. 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 .

  7. Probability Notions

  8. DREIDEL MANCALA SONGISH KAKAANAQ YUT-NORI ASHBII TOTOLOSPI NIM LU-LU PEG COMBO IBA-ITA AMPE PARCHEESI SEIG

  9. Game 1:http://www.globaltimoto.com/pages/movie_ampe.htm

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