Analytic number theory

Question 2: Map scale is the ratio of the straight line distance between any two points on a map to the straight line distance between the same two points on the earth’s surface. Now when looking at map scale there a few concepts for instance, ratio (representational fraction) scale is a concept of map scale. Ratio scale is always neutral in the scale measurement used on the map. So when looking at a map scale of 1:50 000 it means that 1 unit of measurement on the map is equal to 50 000 of the…

When looking at the floor plan of the Kaufmann Desert House by Richard Neutra, the first thing that was drawn to my attention was all the similar geometry, specifically the L shaped geometries. They were all different shapes and sizes, and were facing all different directions, There was a sense of repetition embedded within the floor plan. A central axis stood out, and it was obvious that all the L shaped geometries were rotated around this central axis, and then shifted off of it. Diagram one…

Metrics Data Tracking According to Laura Green, Operations Manager for Monkey Pickles, the company actively tracks various metrics and employs a number of targeted strategies to drive the impact of the company’s online community. During a phone interview on February 9th 2017, Laura Green, was asked questions related: to metric used to gauge impact on the community; gaining and retaining users within the community, measuring user satisfaction to improve the online community, and measuring success…

The handy helper I choose was a video from Khan Academy. This video was about the Cartesian Coordinate System. I naturally gravitated to the Khan Academy link because I was already accustomed to the website while using it to get spun back up before this class. The Kahn Academy site contains similar math videos and you learn from watching their videos and practicing math problems that relate to the video. This particular video consists of a guy explaining math while at the same time visually…

company decides to investigate which Web Analytics tool to invest in, from simple reporting tools to advanced multi-layered analytical systems. The tendency to believe that the best systems cost vast amounts of money and offer the maximum number of features leads to bloated and over-budget implementations that ultimately hurt their adaption and utilization. Determining the appropriate feature set and budget are important to choosing the correct Web Analytics tool to fulfill the needs of the…

The solution of the Frank and Doris race problem looked to be simple at first. Although Doris speed began faster, Frank gained speed and passed her and thus seemed to be the winner of the race. After looking more closely at the problem I discovered this was not quite the case. I first sketched Frank and Doris given values onto the one Velocity-Time graph. Originally looking at this graph, it looks as if Frank passes Doris at 10 seconds, because that is when his speed becomes greater than Doris’s…

This brought about the idea of using cooperative learning strategies to help the students learn from one another and increase each student’s numeracy skills. When students were allowed to speak both English and Arabic, the students’ knowledge of numbers seems to increase slightly. Incorporating different cooperative strategies such as think pair share, roundtable, and strategic grouping will help each student improve their numeracy skills because each will be forced to think, as well as…

children are likely to be helpful/unhelpful in scaffolding their thinking (Bottle, 2005). Drews (2007) also noted that whilst structured manipulatives, such as, Dienes and Cuisenaire are especially helpful for children struggling with decomposition and number property and relationships, unstructured manipulatives such as Multilink, counting materials or collections of shapes are more versatile and encourage children’s own application. The ability to use manipulatives in diverse ways encourages…

environments through play, investigations, real-life situations, and focused learning experiences. Children come to school with different experiences about mathematics (Anghileri, 2006; Yelland, Butler, & Diezmann, 1999). Many children enjoy singing number names, identifying how big objects and people are, labelling shapes, and using their developing mathematical understandings to think and reason (Reys, Lindquist, Lambdin, Smith, Rogers, Falle, Frid, & Bennett, 2012; Australian Association of…

I had whole numbers, mixed numbers, and fractions being multiplied together. I had him work through a few with me, including drawing pictures together, and then gave him a variety of problems that I wanted him to work through on his own (I was right there to help if he got…