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## Teaching Mathematics in Our Times

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**Teaching Mathematics in Our Times**Presents: Iván Chávez**Introduction**• Mathematics is a very powerful tool in multiple activities from solving an equation in one variable or to decode a complex code. • The teaching in general and of the mathematics particularly are matters of greater importance for the contemporary society.**Teaching mathematics in the past**• Teaching Mathematics in 1800aC. • Teaching Mathematics in Mesopotamia • Teaching Mathematics in Mexico**This intense social process or scientific acculturation, has**helped us to recognize the educational need to implement modifications in the field of the mathematics based on better designs adapted the scholastic practices.**Teach Mathematics**is based in Mathematical Didactics Mathematical Logic**Mathematical Didactics**• The tools to teach in several topic • Classics**Using our hands for multiply**• Pay attention!**Using a computer**• If we want to know the stability of Differential System Equations at (0,0) • x´= x^2 +y^3 • y´= y^2 • If we choose Hartman-Grobman theorem we get the null matrix . • Using isoclines and nullclines (Program)**Mathematical Logic**• The way to understand a problem and give the solution. • Have a lot of intuition**Understanding the limit idea**• This is an example where you mix geometric and logical intuition**For example other way to solve the Differential Equation**System is with Lyapunov Stability. • This is a problem, because there isn't a way to choose a Lyapunov function, there are theorems but them are with specific conditions. • Perhaps we think in a circle, because meets the Lyapunov conditions, this is a idea.**Find a good method of study**• Mnemotecnia • “Chicharronera” Formula • Song (Go to http://www.youtube.com/watch?v=HRcj9slciqM) • “x equals opposite bplus or minus the square rootb square minus 4acdivided by 2a”.**Trigonometric function**• “Borracho” (Boozy) Formula in Mexico • Sohcahtoa in Puerto Rico**Integration by parts in Spanish**“UnaVacaVestida de Uniforme”**Making funny stories**• Solving a lot of problems**Find on Internet**• We need to promote these resources**Mix of logical and didactical mathematical**• Teaching mathematics always is new, because every day is a new way to understand and they are revolutionizing mathematics education. • Teaching mathematics are recognized by the scientific community , because in conjunct, do a hard work to offer the best way to learn math Conclusion**REMEMBER, don't memorize, because our brain works**associating ideas and mix all resources mentioned. • We should to take very seriously teaching mathematics, helping our students, using every resource that we have, establishing an ambit of reliable and kindness. • We have the FUTURE in our hands to have excellent students and then a productive country.**Dedicated to:**• Professor: Aurel Stan, I learned a lot of things about teaching, he always is very patient with me.He is an awesome professor • Professor: Rodica Costin, for the interview about the master degree in teaching mathematics. • Professor Luis Casian, for give me the opportunity to participate in SAMMS 2013. • Professor Martha Alvarez, my academic tutor in Mexico, and always helps me, with her advices and suggestions.