Abstract algebra

(a) A discussion of how your relationship with children has grown and changed as a result of taking this course. This course has improved my relationship with children because I am now able to step outside of my adult ego and have greater patience with children. This class has added value to how children learn. I have also found a new creative approach to the dialogue surrounding experiences children have had. I have also learned that teacher and families can instill positive attributes into a…

certain knowledge. The arts and mathematics are areas of knowledge which are considered to have different applications and value. Mathematics is the abstract science of number, quantity, and space. Application is an important aspect of mathematics and applied mathematics is reason based and unambiguous; there is always a right or wrong answer. Abstract mathematics, however, is theoretical as it extracts itself from the real world. The arts, defined as the expression or application of human…

The mission of Julia Robinson Mathematics Festival activities is to pique students' interest in mathematics and problem solving. We also strive to open the minds of students who find math hard, tedious, and not useful. The Julia Robinson Mathematics Festival was founded in 2007 by Nancy Blachman to provide intellectual stimulation and to enable students to have fun exploring and making mathematical discoveries. What Happens at at Festival The Julia Robinson Mathematics Festival is a hands-on…

The first major difference from a billiard table is that one end is rounded instead of square. The second diversion is that instead of pockets around the edge, the semi-circular end features nine holes (in the manner of Bar Billiards), one in the middle of the semi-circle and the rest surrounding it evenly in a ring. The hole in the middle is numbered nine, the others are numbered 1 - 8 in a semi-random order. Rather like a Billiards table, Pool table or Darts board, a variety of games can be…

21. Identify and describe Piaget's four stages of cognitive development. Be sure to explain the specific cognitive characteristics of each stage. Sensorimotor is the first stage where infants are only focused on the environment around them. They focus mainly on the things they see, things that are being done and the phsyical interactions. Infants are constantly experimenting things by shaking, throwing, putting things in their mouths. Preoperational is the second stage where young children use…

By this time, I was lounging in a chair behind a desk covered in trigonometric tables, although I continued to store a snack underneath. Calculus was one of my favorite math classes with algebra a close second. I didn’t appreciate geometry and trigonometry in the same way because I found mathematical proofs to be boring, tedious, and useless as someone else had already proven everything I did so it didn’t matter to me if I did also. My literacy…

shift from the concrete operational stage to the formal operational stage, as described by Piaget’s Cognitive Development Theory, would be marked by a typical 8th grade student who used logical thinking in a basic algebra math class context and then is able to understand more abstract material in his pre-calculus class as he transitions to high school. Quantitative focused theories would focus more on the person acquiring more knowledge and experiences that gradually build on to more as is seen…

The Van Hiele Levels of Geometric Reasoning describes how students learn geometry. It was a theory worked on by Pierre Van Hiele and his wife, Dina Van Hiele-Geldof. They were Dutch researchers and teachers. They came up with this theory at the University of Utrecht in the year 1957. The Van Hiele’s did multiple research experiments and it took years for them to complete this thesis. Shortly after the thesis was complete, Dina passed away (Šafránková, 2012, p. 72). These levels have five…

engineering. As of now, these newly increased skills will help me complete my high school and even college “career.” For instance, many mathematical concepts taught in the Hockey Scholar module (such as finding the average, etc.) are used beyond the two algebras and all the way into calculus itself. This simple math skill, including the four basic operations, are essential to life even beyond college. To exemplify the correlation between math and engineering and my future ASL interpreting,…

In the classroom teachers should focus on positive female role models, such as Emmy Noether (best known for her contributions to abstract algebra and theoretical physics) and Lise Meitner (an Austrian-Swedish physicist who worked on radioactivity and nuclear physics), to inspire girls to pursue careers down the paths of math and science. Doing things like creating more math and science…