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Learning about economy in modeling-based mathematical lessons with GeoGebra

Learning about economy in modeling-based mathematical lessons with GeoGebra. Natalija Budinski nbudinski@yahoo.com Primary and secondary school “Petro Kuzmjak ”, Ruski Krstur , Serbia. The hardest thing to understand in the world is the income tax. Albert Einstein

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Learning about economy in modeling-based mathematical lessons with GeoGebra

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  1. Learning about economy in modeling-based mathematical lessons with GeoGebra NatalijaBudinski nbudinski@yahoo.com Primary and secondary school “Petro Kuzmjak”, RuskiKrstur, Serbia

  2. The hardest thing to understand in the world is the income tax.Albert Einstein Money won't create success, the freedom to make it will.Nelson Mandela

  3. Money is inevitable theme in everyday life. • Money should be in mathematical lessons. • How to incorporate the money issues in mathematical lessons? • Organizing home budget, loans, mortgages could be part of mathematical education • They have both, practical and mathematical side of education

  4. Mathematical modeling Studying a mathematical model of a real-life situation can provide students with insights that are hidden during its non-mathematical study. The modeling process in mathematics education tends to follow the didactical cycle of activities and reach a desirable level of students’ competencies (Stillman & Galbraith, 2003).

  5. Geogebra • GeoGebra offers a variety of representational resources and computational utilities. Its properties give many opportunities to both teachers and students to research the basic ideas of mathematics and to enhance their pedagogical knowledge. GeoGebra stands as a mathematically enriched environment where the mathematical object could be explored or constructed.

  6. In addition to using GeoGebra, teachers can use online resources while preparing to teach their lessons. The Internet is a vast source of information and teachers could be easily confused in which direction they should go in order to use the Internet in the classroom.

  7. Example 1. This is an example from an on-line exchange office.

  8. А) How much is 150 Euros in Dinars ? B) If you have 1500 Dinars and150 Euros, how much Dinars do you have? C) How many Dollars you can have if you have 150 Euros?

  9. Linear function • Proporcionality

  10. Example 2 Home budget Mitrovic family has incomes of 73425 Dinars. They spend: • 30% house and car • 25% food and beverage • 15% clothes • 5% fun Rest they save for the family summer holiday. How long they need to save money to pay 80000 Dinars holiday?

  11. Mathematical modeling bridges the gap between students’ real life experiences and mathematics. It is well known that it motivates students’ learning of mathematics and gives direct cognitive support for conceptualization. Modeling-based teaching highlights mathematics as a cultural tool for describing and understanding real life situations.

  12. Different kinds of mathematical models are making important influences on the functioning and forming societies based on high technologies. Therefore, the competence to critically analyze mathematical models or to make decisions of the acceptance or refusal of the model is equally important for the development of modeling expertise.

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