Number theory

I chose to do two non-written tickets because my students are pre-kindergarten and they do better with interactive play. I want to be sure that they all participate in this exit ticket. The class helper and I will demonstrate what they will be doing before beginning the activity. Non-Written: I will give them a blank sheet of paper with some crayons for drawing and coloring. They will be asked to draw their favorite fruit and color it. When they are done, they will stand by their seat.…

double-digit addition problems (place value, empty number line, break apart). Ask student, “Do you think we could use some of these same strategies to find the sum of three-digit numbers?” “Today, we are going to use those same strategies to solve three-digit addition problems.” 2. Objective/EQ: During math today, we are going to play a game that includes adding two three-digit numbers using the place value strategy (includes base ten blocks), the empty number line strategy, or the break apart…

Find out the numbers that has the greatest value a) 5.3 b) 4.99 c) 5.198 d) 5.04896 Children should have the ability to compare, order ad represent decimals (11, ACMNA105). The correct answer for the above question is 5.3. Some of the misconceptions could be:  some students may choose 4.99, with the misconception that 99 is the highest number, without considering the whole number, in which 4 is less than 5.  Students may rule out 4.99, compare the other three numbers, and choose 5…

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:…

formulate these brilliantly simple representations of nature? The Lewis Dot Structures we know today actually derive their functionality from Lewis’ own model of the atom, the Theory of the Cubical Atom. This essay will explore the functionality of Lewis’ cubical atom and how this model led to the Lewis Dot Structures. The Theory of the Cubical Atom was first published in 1916 in the article The Atom and the Molecule; however, it was developed fourteen years prior in 1902. The model’s purpose…

except for the activities of the mind where none can be seen, touched, smelled, tasted or heard. Along with sensation, Descartes believes that the mind also influences the body through emotions and feelings. This theory is called “Dualism”, introduced by Descartes, proposing the theory explaining the unification of, two different substances,…

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…

have today greatly differs from that of earlier generations and time periods due to the dynamic nature of this field of study. Throughout history, many important individuals have contributed to the field of mathematics and have helped develop the theories, postulates and mathematical rules which are widely accepted today. From the quadratic formula to the trigonometric functions, these people have revolutionized the way we view mathematics in unimaginable ways. Some of these important figures…

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 is less than 0.7648 when this is definitely not the case. This misconception is related to Mariam Small’s third big idea where it is stated that by something about mathematical…

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.…