Algebraic structure

throughout time. It’s slow, but nevertheless, unyielding progression brings us to the algebra we know today. However, it was not always based on the abstract, rather, it was born out of necessity. The need to calculate unknown quantities gave rise to algebraic methods and techniques practiced and taught even today. And, even though nowadays, algebra is a rather abstract mathematics, this was not always the case. It was through centuries of work from remarkable individuals with an undying passion…

I feel particularly ashamed that I wasn 't able to read the book of Karl Marx “Capital” ( 1 st edition, 1867) until now. In 2018 it will be the Birthday of the 200 years of Karl Marx, and I feel the obligation to read Capital before. The book is a classic of economic science, written from the standpoint of the labor theory of value. Through this book we discover the idea of the fundamental materialism of Marx. The work of Karl Marx is the culmination of classical political economy, he had a…

Brandon's post test scores place him at a 3.88 grade level and his Lexile level is 593. In the area of ELA Common Core Standards, he answered questions involving Integration of Knowledge with 57% accuracy. He answered questions dealing with Craft & Structure with 83% accuracy. Brandon answered questions regarding Key Ideas & Details with 87% accuracy. His average score on information text from reading passages in the content area of history are 82%. and science 67%. Brandon's English teacher…

geometry measurement and trigonometry, algebra and structure, and discrete mathematics (Victorian Curriculum and Assessment Authority [VCAA], 2016). This supports the idea that one of the central goals of school mathematics, notably at the upper secondary level, is the development of proof concepts (Coe & Ruthven, 1994). The incorporation of algebraic proofs in Victorian Mathematics education also refutes the criticism that the focus on algebraic proofs theme is sporadic at the secondary school…

mathematician. Her contributions to algebra have gained her recognition as “the most creative abstract algebraist of modern times” (Encyclopædia Britannica). Noether received a Ph.D. degree from the University of Erlangen in 1907 with a dissertation on algebraic invariants. Shortly after she was invited the University of Göttingen in 1915 by David Hilbert and Felix Klein, Noether used her knowledge of invariants to assist them in exploring the mathematics that Albert Einstein used in his…

necessary to explore the effects of attitudes and beliefs of lecturers on the implementation of problem solving approach in teaching mathematics at universities. Thus, I have pointed out that understanding and changing the attitudes and belief structures of lecturers is essential to improve their professional preparation and teaching-learning processes as this idea supported by many researchers (Peterson, 2004:639; Zan & Martino,…

thorough understanding of the work. Papers and other research in math are generally based on proofs and discussing definitions, theorems, and other logical evidence with support from analogies, examples, and other informal evidence. Notation and structure have a large impact on the quality of proofs. General writing should also be clear in both explanations and literal writing despite the focus on mathematics based principles. Reiter gives a variety of helpful tips and insight into the kinds of…

Even when “Adult often thinks of mathematics as an abstract discipline involving complex algebraic formulas and geometric calculations. Yet, the foundations of math are grounded in concrete experience. The cognitive concepts such as classification, seriation, numbers, time, and spatial concepts are all an integral part of the development of mathematical…

At times, trying to picture a mathematical problem in the real world is better solved by using abstract math. Ed Yong from National Geographic states that “when learning math, abstract symbols work better than real world examples” due to important logical thinking skills learned (2008). Learning theory is considered how well a person can relate a topic and solve the problem at an understandable quicker rate. According to National Geographic, there was a new study that shows that students who are…

Multilingualism will be enhanced in the future since there will not be a language that dominates the world (1). This is why second language learning, or acquisition, is becoming a more and more intriguing topic today. One thing, among others, that stands in the way of successful second language acquisition is that there are negative transfers of learner’s first language (L1) on the second language’s (L2) syntax, while the bigger the syntactic differences between L1 and L2 are, the more negative…