Understanding The Concept Of Division

The math concepts taught in this lesson are teaching the students how to use certain math formulas, and practice addition and multiplication. It is beneficial for students to know what tools to use for capturing and displaying information that is important to them (Davis, 2011). The science concepts taught in this

Today we will be learning about place value. When we divide numbers with three and four digits by a one digit number, the quotient doesn’t always go about the first number in the dividend like we saw yesterday. This is important to know because if you had to split $100 with your sister and you divided $100 by 2 and placed the 5 above the 1, then added two zeros, you would have to pay your sister $500. That’s not dividing, or fair. Remember we need to know how to divide so you can evenly split something, like money.”

My goal is to assess student’s prior knowledge of division and to teach students how division can be modeled by using place-value blocks so students can see that division consists of arranging items into equal groups. My goal for day one is to help students develop and understanding of division through the use of manipulatives and drawings so when they transfer that knowledge to day two, students will have a better sense that division consists of dividing a large number into equal groups. By using place-value blocks I also want students to visually see what a remainder looks like so they can better understand what a remainder represents. Sometimes students can’t understand the definition of a remainder which is the part that is left over after

Teacher divides the class into five groups. On each group table the teacher puts a set of fractions cards and a set of five labeled small boxes. The boxes are labeled as following (one whole, between one-half and one whole, less than one half, one half, more than one whole).

[As a result of the step by step direction in the reengagement lesson, I want students to be able fully grasp the concept of addition; and how the knowledge of addition can be used to provide answers to expressions that require the decomposition of numbers totaling 8, 9, 10. The state standard that I am addressing in this reengagement lesson is 1.OA.1 Common Core State standards; use addition and subtraction within 20 to solve word problems involving situations of adding to, taking from, putting together,

As a student, I always enjoyed math. In high school I took all of the offered math classes, including Calculus. The first math class I took in college was a breeze, and I thought that this one would be no different. What could I learn about elementary school math that I did not already know? Contrary to my expectation, the first day of class, I learned things about math that had never been brought to my attention. This paper will discuss what I have learned about subtraction, about students, about the Common Core State Standards, and how my concept map has changed since my first draft.

Answer- To demonstrate ability to solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, students will complete 5 addition problems with like denominators and 3 word problems, when asked to do so with the rest of the class, on a paper-pencil teacher-made fractions quiz, with 80% accuracy, at the end of the unit.

In the chapter, “Equal Sharing Problems and Children’s Strategies for Solving them” the authors recommend fractions be introduced to students through equal sharing problems that use countable quantities because they can be shared by people or other groupings. In other words, quantities can be split, cut, or divided. Additionally, equal sharing problems assist children to create “rich mental models “for fractions (p.10).

The planned supports, including allowing Peter to have more time to solve problems, work with a general education peer (this peer should be a trusted individual that we know Peter will work well and effectively with), and the visual manipulatives, align with the learning goal by having a visual learning tool that allows the students to use equal groups and repeated addition to understand that concept of multiplication. Peter will be supplied with a list of activity instructions, and will be supplied with a math addition fact table to assist him (this list will include information that the class has previously discussed during class) with repeated addition.]

When educating students, it is essential to their growth, that teachers have the ability to learn and grow with their students. Every child learns, thinks, and comprehends differently; therefore, the same material should be taught in multiple ways. For example, in my Math 106 class, all students solve the same problem, the teacher then has a few students explain and depict the different ways they received the correct answer. When a student has a difficult time explaining their method, Mrs. Graybeal provides encouragement and guidance; thus. Also, students who are having a difficult time solving the problem used one of the methods provided by a peer to help them comprehend and solve the problem. Math 106 teaches future educators the

Dee asked the students how the Pythagorean Theorem related to area. Students caught on to this pretty rapidly by responding that in some situations they may need to find a missing side of the triangle before being able to find area. After completing the warm-up, Dee projected the answers to the homework on the board and asked if there needed to be clarification on any of the problems. For the introduction of the current day’s lesson, Dee projected the powerpoint presentation on the board. This included the lesson essential question. She asked the students to recall what they had learned the previous day and related it to what they were to be learning today. During the lesson Dee stressed to the students that titles, like the Segment Addition Postulate, had high importance. Students took notes on a notes packet while following along with the lesson. Dee walked through examples with the students in using the Segment Addition Postulate. She also stressed that, “part + part = whole.” Students then worked with Dee, “we do,” in order to solve additional examples. After this, students were told to practice the remaining examples in the notes packet either on their own or with a

Many students get confused when learning about fractions. At our grade level we teach about parts of a whole, equal shares, and partitioning.

Activity: TTW discuss with students pass lessons of multiplication facts and the way to solve them. TTW will write on the little white board a multiplication fact: 2x3 that means 2 groups of 3, 3+3, she will draw figures that show the groups and array.

Multiplicative thinking, fractions and decimals are important aspects of mathematics required for a deep conceptual understanding. The following portfolio will discuss the key ideas of each and the strategies to enable positive teaching. It will highlight certain difficulties and misconceptions that children face and discuss resources and activities to help alleviate these. It will also acknowledge the connections between the areas of mathematics and discuss the need for succinct teaching instead of an isolated approach.

Teaching students effectively in areas of multiplicative thinking, fractions and decimals requires teachers to have a true understanding of the concepts and best ways to develop students understanding. It is also vital that teachers understand the importance of conceptual understanding and the success this often provides for many students opposed to just being taught the procedures (Reys et al., ch. 12.1). It will be further looked at the important factors to remember when developing a solid conceptual understanding and connection to multiplicative thinking, fractions and decimals.