How Can Help Students Acquire Proficiency With Long Division?

Algebra is a critical aspect of mathematics which provides the means to calculate unknown values. According to Bednarz, Kieran and Lee (as cited in Chick & Harris, 2007), there are three basic concepts of simple algebra: the generalisation of patterns, the understanding of numerical laws and functional situations. The understanding of these concepts by children will have an enormous bearing on their future mathematical capacity. However, conveying these algebraic concepts to children can be difficult due to the abstract symbolic nature of the math that will initially be foreign to the children. Furthermore, each child’s ability to recall learned numerical laws is vital to their proficiency in problem solving and mathematical confidence. It is obvious that teaching algebra is not a simple task. Therefore, the importance of quality early exposure to fundamental algebraic concepts is of significant importance to allow all

The Latin American subtraction algorithm is based on the fact that the difference between the two numbers does not change while adding the same amount to the minuend and subtrahend (Indiana University Southeast, n.d.). This algorithm appears to be one that requires precision to detail as it is different from the traditional subtraction algorithm the majority of students have been taught. Regardless of teacher preference, providing students with various strategies allows them to experience the diversity in problem

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

2. A month after the classroom teacher completed the review unit for multiplication, we began long division. One student was having a very difficult time with long division. The student hadn't quite mastered their multiplication facts, thus, making the long division unit difficult. I printed out a multiplication chart which listed the multiplication tables from 0-12. The student completed the long division unit with confidence using the chart. Additionally, I created and located

The student will work with small and big numbers from 10 to 100 to solve the operations.

Literature: Read Remainder of One by Elinor Pinczes to prepare students for the lesson. “What do you think is going to happen in this story? Based on the title, what do you think this has to do with division?” Read the story. “Can anyone tell me how division was used in this book? What happened to the extra 1 person, or the remainder? We are going to learn about dividing larger numbers today and how to do it correctly.”

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

Based on data from student work samples, benchmark assessments, classroom tests and quizzes, John is able to solve basic multiplication facts with 100% accuracy. He can solve basic division facts with 92% accuracy. John can subtract numbers to the hundred thousands place with regrouping and across zeros with 90% accuracy. He can solve 2 digit by 1 digit multiplication problems with 85% accuracy, 3 digit by 1 digit multiplication problems with 95% accuracy and 4 digit by 1 digit multiplication problems with 90% accuracy. He can solve 2 digit by 2 digit multiplication problems with 85% accuracy. He can solve 3 digit by 1-digit division problems with 83% accuracy. He can identify the correct operation used to solve a word problem with 82% accuracy.

In Section D, Daniel demonstrated a primary understanding of the multiplication and division concepts. Daniel can count group items by ones. He also counts one by one to find the solution for involving multiple groups when all objects are modeled. Daniel was able to use different strategies to count the cars in the boxes as he said, “I can count them by twos because there are two cars in each box,”

Each groups got different components. This paper will focus on the Division Algorithm and Modular Arithmetic. The Division Algorithm is simply long division, but in the form of an equation. The theorem is as follows:

For the Kidwatching Project Part 1, I found myself interviewing a few students on the concept of multiplication and division. According to Merriam-Webster Dictionary, multiplication is defined as the process of adding a number to itself a certain number of times: the act or process of multiplying numbers. Merriam-Webster Dictionary also defines Division to be the act or process of dividing something into parts: the way that something is divided (Merriam-Webster, 2015). Multiplication and Division is a subject that many different students in early ages can grasp or struggle with because the concept of using different ways to approach these particular problems. Many kindergarten children can solve simple multiplication and division problems

This subtest asks Jackie to solve written math problems requiring addition, subtraction, multiplication, and division using whole numbers, fractions, and decimals. This subtest measures untimed, written

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.

The lack of adopted curriculum also means that most, if not all, teachers are supplementing both materials and instructional routines. These students need to pass the state-mandated Smarter Balanced Assessment (SBA) which requires completion of a problem-solving performance task. Students need to know which operation(s) to use (addition, subtraction, multiplication, and/or division) and how to apply them appropriately. This problem has