For example, when wanting the approximate value of something with 2.5 in the calculation, the number may be rounded to either 2 or 3 since these integers are the closest to the original value of the number. Reasons why estimates are used may be for approximate data for a sense of scale, such as when observing the measurements of a large scale structure like mountain having the number in the thousands may be enough information to know how big the structure is visually, without the necessity for complex numbers. An example of this would be the speed of light. In general representation, the speed of light is knows as around 300,000,000 metres/second, but when doing calculations, the number becomes more complex and is then considered 29,792,458 metres/second, which even then is rounded for information efficiency.…
Part B Diagnostic Interview and Tutoring Sessions Permission was granted (Appendix A) to interview and tutor Athena*, who is a 9 year old student in Year 4 who returned to Australia in the middle of Year 3, after living in the United States for 5 years. The Mathematics Assessment Interview (MAI) was conducted on a weekend afternoon at Athena’s home shortly after lunch (Australian Catholic University, 2011b). She did not seem to be nervous and was informed that the purpose of the questions was to help a pre-service teacher learn and develop some effective ways of teaching through the follow up tutoring sessions. Athena began the MAI confidently and could read, write (on the calculator) and order two digit numbers with ease.…
Her responses placed her level of mathematical knowledge as growth point two (Australian Catholic University, 2011), which focuses on two digit numbers. The lessons were planned with a view to progress her to growth point three, three digit numbers (Australian Catholic University).…
The definition of mathematics anxiety is is a phenomenon that is often considered when examining students' problems in mathematics. In the article “ Stop Telling Kids You’re Bad At Math” by Petra Bonfert-Taylor it talks about how in today’s society we are giving a bad image of mathematics which is causing children to have anxiety. Studies have shown that students and children tind to get the mathematics anxiety (MA) from teachers mainly, but can get it from parents. “we are passing on from generation to generation the phobia for mathematics and with that are priming our children for mathematical anxiety.…
Is Algebra Necessary? In the article “ Is Algebra Necessary?” author Andrew Hacker explains why he thinks math is good to a certain extent. He explains that to many people fail school before graduating high school.…
“Mythography” Project I use numbers and math for lots of things in my daily life. I use numbers and math for baking, measuring, learning activities, counting, telling time, planning, and scheduling. The first thing I use math and numbers for is baking and washing dishes. I use the numbers on the oven and microwave to set operating cycles. I use the microwave to make delicious noodles, and the oven for baking cookies.…
Overall, the different models discussed in the article showed me the different misconceptions that the students had over integer’s numbers. In addition, I learned that students can have some early understanding of negative numbers which may not be entirely correct, but somehow correlated to the…
Meno’s Paradox In the Meno, Socrates questions Meno about what virtue is. After Meno is shown that he does not know what virtue is, Socrates invites Meno to search for what virtue is together. Meno tries to show Socrates that they cannot search for virtue by introducing this paradox: If I know what something is there is no need to search for it; if I do not know what something is, there is no way I could search for it for I would not know that I have found what I was searching for if I did happen to find it. So, directed learning is impossible.…
There are so a good deal of math manipulative but, my favorite math manipulative is snap cubes. In my research snap cubes can be used to teach different math subjects. These cubes can be used for math activities and even homework as well. And more in school to involve the students to learn how to add or subtraction with the cubes and even to learn to place value values with the cubes. Throughout my paper I will be talking about snap cubes and how math manipulative can be so beneficial to teachers to teach their students math in their classrooms.…
I have found that number talks are really helpful for building number sense as well as assessing number sense. When I use number talks in my classroom it allowed me to easily see gaps in understanding with some of my students. Simply learning math facts through memorization is not very helpful. I can't count the number of times that I have memorized facts of some sort for a test and then promptly forgotten all of the facts after finishing the test. Our brain just doesn't work that way.…
Children's understanding of place value and the base-ten system is constructed upon a broad conceptual framework of number size, number relations, flexible decomposing and reconfiguring numbers, and thinking multiplicatively. To understand place value is to understand the structure and sequence of the base ten number system. As students count, they interpret the values of written and spoken numbers, and decide which number is smaller or larger, and explore the relationships among numbers; children begin to develop a picture of the number system. The base-ten numeration system is the system that most common building blocks needed to further mathematical concepts including the computation of numbers and are a basis for developing an understanding…
Education is a key to every future endeavors and an open door to varieties of personal dreams. Educators, instructors and academic people seek high achievements in education as in for the good of their knowledge. Within the learning field, there are varieties of subjects that are being taught differently and also that include the four main that all education within the U.S enforces; such as English, Mathematical, Science, and History. However, math is appeared to be the hardest and more challenging subject that is being authorized widely.…
Many parents and educators expect students to have plenty of math practice—but not TOO much. Of course no one wants a student to practice something when they already “get it,” but what do we mean by “get it” what is there to “get” and what is “it”? Sometimes I wonder if people view math as something that needs to be practiced in a unique way—somehow different from other subjects or activities. For example, when a child is becoming fluent in spoken language, there’s no such thing as “too much practice” speaking in that language.…
Through the ages, the ancient Babylonians have been credited with many advances in the fields of math and science. The discoveries of these people paved the way for deeper understanding for following generations. As their civilization passed through the control of countless rulers and cultures, the idea of numbers and mathematical calculations slowly molded into what we know today. Between the Tigris and Euphrates rivers, in a region known as Mesopotamia, the Babylonian people resided and worked. The wedge-shaped writing style of the Sumerian people, cuneiform, came about around this time and is known as one of the earliest systems of writing.…
The fact that we are able to think, leads us to conclude that we certainly exist. Even though I agree with his famous saying: “I think, I exist” (Descartes 53), I still argue that we cannot be deceived about the concept of arithmetics and geometry. It may in fact be true that my vision would fail to show me distinct numbers of something, but the concept of (X) amount of things cannot be changed in my mind by an outside force. Since “counting” is the action of thinking in a numerical form, then the numbers derived from this act would be incomprehensible unless the concept is recognized as existing and true. Other simple natures such as shapes, can be substituted for “numbers”, if we follow the same line of thought.…