You Never Thought You Had to Think to Count
It was after taking the 2nd MOEMS (Math Olympiad Elementary and Middle School) that I heard this phrase from my school’s math coach. We had sat and taken this test for 26 minutes, and then afterwards ALWAYS talked about the problems. It came up when looking at a problem that went somewhat like this: ‘Each student in an art class is given 48 cubes that measure 1cm x 1cm x 1cm. No students make the same design. What is the largest possible amount of students in that class?’ I was so close! I answered eight, when in fact, the answer was nine! Everything was right about my strategy, thinking, and what I did, but I had missed one of the figures. That is what I am getting to; that is what makes it so
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Did I miss one? Did I count one twice? All the things that go through your head… ‘But, but, but, bu-’ one might think. There is algebra, and calculus, and… and… and…! Yes, but there is also counting in other base systems. Ever heard of that? This is page 10 of this chapter! You can count in any base system at all. Almost everyone uses base system ten. Hypothetically speaking, if you were to say ‘I want to count in base system three!’ You tell you friend you are going to count to seven so they know when to start the race. The number seven in base system three is twenty-one. So you would count like this: ‘1, 2, 10, 11, 12, 20, 21!’ When you are about to say three, the tens digit goes up one. The only possible units digits when counting in base three are 0, 1, and 2. Here is how you figure it out using a quick shortcut. Three goes into seven twice (2_) with one remainder, so it turns into 21. It seems pretty simple, but in reality, it is not.
Counting began with the simple action of putting marks on a bone. “Numbers, and counting, began about 4,000 BC in Sumeria one of the earliest civilizations.” Also, algorithm I guess you could say; started with chickens…? Well, not really. “Their method of counting began as a series of tokens. [...] If a man had five chickens he was given five tokens. When he traded or killed one of his chickens, one of his tokens was removed.” It also seems like the people who
Immediately after Bob Rae assumed power, the economy of Ontario began collapsing due high rates of joblessness, rising deficits and the government consequently lost the support of the business people who have a significant impact on Ontario’s economy. (News in Review 2002) The worst mistake they made about their chances of reelection was the decision to introduce a policy to limit the wages of workers in the public sector who had formed groups that supported the policies of NDP unconditionally. (News in Review 2002) Under Harris, the Conservative party canvased voters to gain insights into their opinions on a range of issues such as tax cuts, reduction in welfare, bootcamps for lawbreakers, and the abolition of positive discrimination
After reviewing all my writings, I felt a sigh of relief. However, not because this course is over, because I feel like I devoted a lot of attention to my writings in this class, and that I put a lot of effort into making sure I thought about the readings deeply, and that I reflected on everything that we did. Overall, I was able to complete all the items on the list, thoroughly, so I think that is something that I should be proud of. I made it through my first semester of college, and was able to complete all my work. The sky is the limit. If I continue with the work ethic that I had for this class, I know that I will be able to be successful in my studies at Salem State University. As longs as I read deeply, think
The earliest artifact relating to numbers is a bone with scratch marks on it from 150,000 years ago. Actual numbers seem to have started around 500 BCE in India. This was because Indians needed very precise numbers for trading and building. Indians were one of the first to write their numbers, to create decimals and use them, and to use the number zero.The numbers that the Indians created are known as Arabic numerals.
As individuals, we tend to formulate both positive and negative opinions of others based on personal experiences and life exposures. These exposures help shape our belief systems and perceptions towards others. Our different perceptions cause us to generate biases and prejudices towards groups that we might not always affiliate with. However, we are often not aware that we stereotype others and regard them in a negative manner. The realization of the concept can be uncomfortable to grasp, which is why we often deny the beliefs all together. It is often believed that therapists have the required knowledge to help different groups of individuals with an open mind, but that is not always the case. As a psychologist in training, I understand that the first step to being culturally competent is to have self-awareness and recognize your own biases and prejudices.
Likewise, counting has generally been accepted to begin with the number one. The first evidence of “one” was from an artifact found near South Africa called the Ishango Bone. It is a baboon fibula which has 29 notches and dates back to 35,000 BC. From the number one tallying systems were created. The oldest record of a modern tallying system was found to be about 30,000 years old and had 57 notches cut into groups of 5. There also seems to be several connections between counting, art, and geometry. “From art comes evolution to patterns and from patterns, separate unique objects such as crisscrosses become visible and ponderable” (Allen, 2000). Pieces of iron dated to 10,000 BC have been found with geometric patterns on them (Law, 2012). As the need for record keeping grew different counting systems were
Mindfulness is a practice that has roots in spiritual Buddhist traditions where it signifies “the cultivation of conscious awareness in the present moment in an open and non-judgmental manner”. Mindfulness-based interventions target psychosocial processes resulting in improved symptomatology (Carlson et al., 2003 in Campbell, Labelle, Bacon, Faris, and Carlson, 2011).
As humans from an early age we learn to count using the base 10 system, this is a system to tell us how many times we have counted to 10 with the addition of any extra, for example the number 17 the 1 on the left shows us we have counter to 10 once and the 7 shows we have an additional 7, the number 52 shows us we have counted to the number 10 five times and an additional 2. As humans we find this base 10 system easier due to the simplicity of it, and our relation to the number 10, as we have 10 fingers which can be used as physical representations of the number. Computer systems can't use this method due to it only being able to recognized and deal with 2 states, on of off (1 and 0).
I agree that they had no idea what to do after Elena left. All they did after Elena left was focus on relationship's. Bonnie had to get with Enzo only for him to die and make her feel a bit suicidal why? The point of Stefan getting back with Valerie later on only to end things because he wanted Caroline had to happen for what reason? The Gemini babies had to survive for what purpose? For some Alaric and Caroline bullshit that really didn't come to fruition only for her to be with Stefan but then he dies which…basically means everything we watched with them had no meaning essentially. Hayley had to resurrect after having her throat slit because…? Elijah needed to fuck his brother's sloppy leftover seconds but then they have a one night
Today I’ll be interviewing Abigail (twenty-one) and Elizabeth (nine), a young pair of sisters of the really wealthy Hamilton family. They are from the town of Willington-Billington and specifically settled at the town center to show of their wealth. Abigail is a doctor and Elizabeth for all is a seamstress. She (Abigail) definitely has plenty of experience with medicine and usage yet Elizabeth has a fairly basic understanding so we are going to kind of see the different stasis these girls for the most part have on medicine. Now, I am going to go interview them.
remembered standing in the back hall adjacent to the cashier’s room. There stood a long counter where everyone gathered and read the schedules and memos for the upcoming week. He stood there one day with his hands holding onto the counter while Kenner slipped up next to him and with the gentlest of hip checks whispered lets go get them big guy. She looked at him, winked and went on her merry way to the front desk. Japes did not have a clue and although he turned red as a beet he did nothing. Luckily he did not jump into any relationship with Kenner, as Kenner shortly thereafter ended up with Sonny the young handsome manager from the front desk. A management trainee from the “City of Cars”, he had recently achieved a master’s degree and
In response to the embassy takeover in Tehran, one of the Iranian passenger flights (IranAir) that was planning to land in New York was ordered to leave US territory and land in Canada. IranAir is, one of the first and the main Iranian airline in Iran and they have flights worldwide, including direct flights to the US, but since, November 1978, all Iranian Airline flights were banned entering the US. Another shock, another wrinkle, another drama, impacting my travel plan going to the US. I no longer could use my booked IranAir flight ticket traveling to the US, because of this ban. One upset after another! I booked a new flight ticket with British Airways. But very quickly things changed. November 1978, was a terrible month, we had
Recent examinations of media users indicate the existence of several types of SNS users that each exhibit coherent patterns of platform-specific behaviours (Brandtzæg 2010; Heim & Brandtzæg 2011; Hermann et al. 2007). Different types of users may also respond differently to messages and interventions (Elliott & Polyakova 2014). Such typologies allow researchers to organise users’ behaviours or attitudes into broader categories of user types to help explain complex social phenomena in a more analytically nuanced fashion (Johnson & Kulpa 2007). This approach helps to overcome minute individual differences between research subjects to examine overall patterns and similarities between people in the broader population.