assessment will show “Children who are able to subtract with ease and efficiency know the parts of number and see the relationship between composition and decomposition of numbers and addition and subtraction.” Kathy Richardson, Assessing Math Concepts: Hiding Assessment. Didax Publishing, page 26. The probe will first be probing for the student’s ability to see part-whole number relationships. For each of the students I started off with the number 6 because it was a number in the middle. If a student is not able to master the number 5 the assessment will move backward to assess the number 4, if the student is able to show master of the number 6 then they will move up to the assessment of the number 7. Assessment: With Counters 1. First I have the child count out that many counters, I place the excess counters to the side. 2. Then I close my hand around the counters and confirm that he/she knows how many are hidden there. 3. Then I remove some and show them in the palm of my other hand. 4. I then ask the child, “How many are hidden?” 5. I repeat with different amounts removed. 6.…
One important aspect of mathematics is interpreting the meaning of the numbers in the different operations. Van De Walle, Karp, Bay- Williams, (2013) emphasize the importance of developing meaning, interpretations, and relations to the four operations to help students integrate mathematical skills into the real world. For division, teachers should help students identify and use different meanings of remainders to help the learners understand and apply different rules. As students become…
is fill it out, but who started this type of measurement? How old is mathematics? Specifically, how old is counting? When was representing quantities thought of? Where did it start? Counting originated based on the needs of societies. For example, a primitive society did not need more than a few numbers to manage their life, while a more advanced society needed more than a few numbers to…
On Tuesday, October 20, 2015, I spent the day at Media Elementary School in the Rose Tree Media School District assisting 4th-grade teacher Mrs. Williamson. Mrs. Williamson is a teacher with 23 years of experience and she spent most her career with Media Elementary School. The school day for the students begins at 9:00 am and ends at 3:30 pm. I was supposed to report at 8:45 am as the teacher began preparing for the class few minutes before the students entered the classroom. I reached there at…
Computers have all but replaced humans for doing complex calculations. But computers handle numbers much differently than humans do. At this point, the majority of people use base-10 for their math. The base of a number system refers to the number of number symbols used in that system. In base 10 the numbers used are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Humans use this system because it shortens numbers. Humans have 10 fingers so it is logical that base-10 counting systems developed naturally. But…
Part B: During the children’s early years, they learn that mathematics helps people making sense of their 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…
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.…
calculations. The idea of zero has crossed the imagination of great minds across the globe. Zero functions as a placeholder and the amount of zeroes after a digit can drastically change the value of the number just imagine if one adds or even removes a zero from their salary. Index Terms— Zero, Mesopotamia, Mayan, Brahmagupta, Al-Khwarizmi, Fibonacci, Descartes. I. Introduction…
60 was used for basic math and 360 was used for circles The Sumerians also gave us the decimal system. The Hindu’s gave us the Arabic Numeral System which gave mankind counting numbers. With the extension of numbers, math took off. The Hebrew’s gave us another numeral system but this one went into the hundreds. The Babylonians gave us the digit 0 and then we had a a completed number system for that time. Agriculture was a ginormous element when civilization was first coming together and it has…
2014 pp. 90 identifies that a major cause of student’s difficulties in mathematics has been how they understand and process numbers. The teacher then writes on the board 723- 246. The class is asked to copy and complete the above exercise in their books. The teacher then asked a student the answer. The student says “four hundred and seventy-seven”. The teacher interrupts the student: “That is not the way you have been taught to do it” The students haven’t discussed to reason on the answer…