Pure mathematics

I. Introduction I became interested creating and applying methodologies for mathematics education because the entry-level mathematics students often encounter difficulties in understanding magnitudes of large numbers. I shall begin my case study from some experiments that how accurately the children could estimate the numbers magnitudes by various aspects of a stimulus. Thus far, my research has followed two lines of inquiry. The first line of study is to identify children’s different…

The purpose of this report is to reflect and critically analyse a classroom scenario in a mathematics lesson whilst using mathematical thinking and processes. This will allow for the strengths and weaknesses to be highlighted for best practice within a primary school setting. In examining the scenario it will bring light to the recent literature relating to the mathematical pedagogy. The analysis will include Critical Areas designed to bring focus to the standards by describing the big ideas…

Effectively selecting strategies to engage all students in a mathematics classroom is important for higher-order thinking. Selecting an appropriate problem to engage the students in productive struggle is one way to develop conceptual understanding (Van De Walle, Karp, & Bay-Williams, 2013). The problem should be appropriate to the level and understanding of the students. Interesting mathematics should be the focus of the problem, and not the context of the problem. Additionally…

Math Is Hard High school mathematics teachers are faced with numerous students every year who are unable to handle mathematical content. The primary goal, as a high school mathematics teacher, is to increase the student’s knowledge of algebra. However, many students are not ready for given information. Many students are lacking basic mathematical skills and are unable to do simple calculations, like long division. Nationally too many students are behind in mathematics. Every person no…

Perception of Science as Inaccessibility Science is often imagined as apathetic scientists methodically mixing different colored liquids in expensive labs with extensive procedures and regulations. Science is the epitome of method, and often held in high regard. Yet with all this regulation much of the public still doubts scientific findings. The debates over the validity of climate change continue, despite the massive amount of verification and confirmation on the subject. The public sometimes…

finds a place after analysis in the domain of geometry, nevertheless cannot so conveniently be applied to these metaphysical matters we are discussing” ( 102). Descartes states as clear as water that is there is a vast difference present between Mathematics and Metaphysics in regards to the synthetic approach. Firstly, Descartes points out that the hostility and obscenity present in the synthetic approach is visible in the first principal of Metaphysics, although the hostility and obscenity in…

The Common Core State Standards (CCSS) are probably the biggest thing to hit public education in the United States in recent years (Neuman & Roskos, 2013). Common Core has left one group largely in the dark; parents (Neuman & Roskos, 2013). Only forty-five percent of public school parents had heard of Common Core (Obrien, 2014). This is only hearing about it, and does not include understanding what it is. Since parents do not understand Common Core, they have a lot of misunderstandings. They…

Do you love traveling? Do you ever want to travel somewhere and forget about your troubles? A place where nobody knows your name. A destination where you can sit back and relax. Just imagine it.. you visiting the Tower of London one day. Then the next you are soaking your feet in coral gardens at Bora Bora. After that, you are sightseeing at Casa Batllo in Barcelona. I always imagine myself in different places and experiencing the many different cultures and architectures worlds have to offer.…

On July 5, 2001, a portfolio manager at NorthPoint Group, Kimi Ford is considering buying some shares of Nike for the fund she manages, NorthPoint Large-Cap Fund. This fund mostly invests in Fortune 500 companies, and it’s top holdings include; ExxonMobil, General Motors, McDonald’s and 3M. Nike’s share price had declined since the beginning of the year. Since 1997, Nike’s revenues had plateaued around $9 billion, while net income had fallen from almost $800 million to $580 million, and their…

didn’t understand completely how measurement works and how it needs to be precise (Parker 213). Therefore, Ruth and Cathy decided to insert a lesson on drawing scale models of objects in order to get their students to better understand precision in mathematics and measurement. They continued to talk about what they could do differently even after the school year was over.…