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My Mathematics Philosophy How did you get that answer Why Can you get the same answer another way These are important questions for all math educators to ask I believe that encouraging autonomy is one of the most important things that a teacher can do According to Piaget the aim of education must be to develop the childs autonomy which is indissociably social moral and intellectual Kamii 21 Without autonomous learners our classrooms would be made up of memorization of formulas and procedures which is detrimental and can short circuit learning Reynolds 25 Educators have a great impact on children not only for the year they have the children in class but hopefully for the rest of their lives It is my belief that the principles and standards from the National Council of Teachers of Mathematics NCTM should be met in every classroom The standards present goals in the mathematical areas of number and operations algebra geometry measurement and data analysis and probability The five process standards are problem solving reasoning and proof connections communication and representation NCTM 6 Teachers must incorporate the ten standards to have an effective mathematics classroom I think that students learn by being involved and using hands- on activities Children must do the math not sit back and watch while the teacher does it The students should be engaged throughout a lesson they should not be lectured to My classroom environment will be comfortable and laid back The students will be in groups discussing their mathematical thinking to one another I will continually ask questions such as the ones that I posed earlier The room will be noisy and messy at times I will have various manipulatives for students to choose from Cubes buttons pattern blocks and bingo chips are just a few manipulatives that will be available to my students at all times Manipulatives can be important tools in helping students to think and reason in more meaningful
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