Roman numerals

Student strategy: Student A starts by drawing 11 circles, which is what I saw. When asked to explain what he did, he said that he first drew 2 circles and then 9 more. He then added them together by counting them all to get 11 pennies, which is the answer. When solving the problem, he adds them by counting from 1 to 11, and he seems to have drawn 2 circles and then 9 more, following the time sequence. However, I never saw him count 2, 9, and then all of them, I only saw him count 1 to 11.…

Essay #1 Draft: Close Reading Contrary to popular belief, the stereotypical “real man” who never shows emotion does not reflect mature, developed behavior. It is easy to assume that if one does not show emotion, he/she is not present, and that by suppressing those emotions one can make them “go away.” Plato argues in “Republic,” his seminal work that describes his ideal city, that not only is suppressing the emotions of sadness, humor, or passion essential in a perfect society, but that the…

a big fan of all three of these games, and I wanted to challenge myself by implementing the game logic. Also during the summer I started learning android. The app that I built that I am most proud of is a calculator that works in sixty different numeral systems from base 2 to base 62. I started the project making a calculator that uses hexadecimal instead of decimal, but then I decided to expand the project by introducing more bases using the characters 0-9, a-z and A-Z. I am interested in doing…

Development of place value Place value and the ten-base system are important foundations of later mathematical concepts. The development of these concepts takes years and is built upon pre-number and early number development. Therefore, the development of place value and understanding of the ten-base system needs to be understood in relation to early concepts. Classifying and patterning are elements of pre-number development that need to be developed as part of numeracy. Classifying helps…

Fractions Fractions are difficult to learn and to teach, however they form an important part of primary education mathematics. Fractions both underpin the development of proportional reasoning, including the understanding of algebra and probability. Much of the confusion of teaching and learning fractions appear to be from the many different coding conventions (6/5, 1 1/4, 1.25, 125%), different representations (models) and interpretations (constructs) (Clarke, Roche & Mitchell, 2008). The…

of Fibonacci’s developments with the use of zero. Accountants knew their books were balanced when the positive and negative amounts of their assets and liabilities equaled zero, but governments were not accepting of the Arabic numerals. Suspicion about the Arabic numerals existed among government officials due to the possible ability to change one symbol…

In fourth grade various new math ideas are presented and many students can face difficulties when new material is introduced. Difficulties are especially displayed when it comes to discovering decimals. Although decimals are introduced in fourth grade they are continuously presented in math thereafter. One common misconception held about decimals is the idea that the more digits that are presented in a number, the greater the value of the number. An example of this is students believing that 3…

Part B Diagnostic Assessment During the diagnostic assessment which focused on grade three student, Boris’s comprehension of number placement and value, Boris did well in most areas, with minimal exceptions. Boris took a great deal of time, when requested to partition the double digit the number. Though they progressed to partitioning the larger numbers in a standard and acceptable non-standard manner, they answered the two digit partitioning question with various multiplication equations.…

Data Type Description and example use **You must provide an example of what each data type could be used for** String A data type used in programmings such as an integer and floating point unit, but is used to represent text rather than numbers. • I bought 3 CD’s which were from 3 different artists. It shows that I bought it from 3 different people. • If (Option 1==Option 2) If the values are the same, then it is true. If they are different, then it is false. • Usernames are an example of…

The second grade classroom I am in began this year the students in the classroom practicing their addition and subtraction in a one-digit numbers through various strategies, word problems, and diverse lessons. However, as the year went on my cooperating teacher had the students begin solving two-digit addition and subtraction problems. My classroom is set up for their numeracy portion of the class that they usually start with whole group lesson, then move into small groups to practice the lesson…