Knowing And Teaching Elementary Mathematics Essay

In order to improve my instructional practices, I analyzed instructional data from district math diagnostic and proficiency assessments. The most recent assessment assessed student’s abilities to count, add and subtract, and their understanding of place value. My students scored below not only the other first grade students at the school, but also all first grade students in the district. 81.6% of my students could count, read, and write numbers to 120. This was an improvement from their diagnostic assessment. However, only 66.7% could relate counting to addition and subtraction, and only 45% demonstrated understanding of place value in two digit numbers.

This paper will demonstrate the pre-service teachers’ understanding of mathematical practices as part of the Common Core State Standards in Mathematics. It will address two specific standards for Mathematical Practices, describing the essence of both and providing a description of how teachers facilitate these practices and how students are engaged in the practices.

2. Describe the pattern of growth in the “Number of people told” column for both Scenario A and Scenario B.

Teaching theories are as much part of the classroom as the student and the teacher. The effect individual theories have on an environment depends how they are incorporated within the classroom in addition to the influence they have had on the curriculum construction. This essay will briefly look at how motivation theory, cognitive and social cognitive theory along with constructivism have impacted on education and the classroom.

The mean for the column “mean” is 3.56. It is very close to the parameter of interest but is not equal to it. You can calculate a confidence interval for the mean of the mean column, but a specific confidence interval would need to be provided. In that case, the confidence interval would be centered on 3.56, not 3.5.

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 pre-assessment used to establish students’ baseline knowledge and skills for this lesson is first to watch the video https://www.youtube.com/watch?v=9Z2gpbYiEXo. After the video engages the students to bring back prior knowledge, they will be given a white board. The students will work out a subtraction problem on the board for me to see what they already understand about solving subtraction word problems. I will use the data to know what parts of the instruction on how to solve subtraction word problems need to be more emphasized to the students.

Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

List Mathematical Guiding Principles from California Common Core State Standards for Mathematics (CA CCSSM) and describe in your own words the importance of these principles

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.

There are many theories that are relevant to classroom teaching today. Marsh (2008, p. 17) states that “each theory is nothing more than a set of reasonable suggestions”. A teacher should look at the information available to them and take what is necessary to achieve a positive learning environment in their classroom. This may mean taking a little part of one theory and combining in with another part of a different theory, there is no singular theory or theorist that encompasses everything that is required in a modern classroom. Some of the most important theories of learning are motivation, constructivism and behaviourism. Teachers choose their teaching style and strategy to complement their students, to arrive at their own personal

While watching National Hockey League (NHL) games, I often heard the play-by-play announcer mention at the start of the third and final period how it would be tough for a team to come back from a one goal deficit. This led me to wonder just how difficult it was mathematically, and how much previous periods affected the final one. In this project, I will investigate whether the scores at the end of the first period affect the final score of NHL games.

In today’s society mathematics is a vital part of day-to-day life. No matter what a person is doing at home or at the workplace, he/she is constantly using different mathematics skills to simply function. Then what does this mean for mathematics education? When someone needs to utilize a skill every day then he/she needs a strong background in the skill. Therefore, today’s students need more than a just a working knowledge of mathematics or enough knowledge to pass a test. Today’s students need to understand how mathematics works and how to utilize mathematics skills in the best way possible.

Maths is ubiquitous in our lives, but depending on the learning received as a child it could inspire or frighten. If a child has a negative experience in mathematics, that experience has the ability to affect his/her attitude toward mathematics as an adult. Solso (2009) explains that math has the ability to confuse, frighten, and frustrate learners of all ages; Math also has the ability to inspire, encourage and achieve. Almost all daily activities include some form of mathematical procedure, whether people are aware of it or not. Possessing a solid learning foundation for math is vital to ensure a lifelong understanding of math. This essay will discuss why it is crucial to develop in children the ability to tackle problems with initiative and confidence (Anghileri, 2006, p. 2) and why mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri).

Mathematics is the one of the most important subjects in our daily life and in most human activities the knowledge of mathematics is important. In the rapidly changing world and in the era of technology, mathematics plays an essential role. To understand the mechanized world and match with the newly developing information technology knowledge in mathematics is vital. Mathematics is the mother of all sciences. Without the knowledge of mathematics, nothing is possible in the world. The world cannot progress without mathematics. Mathematics fulfills most of the human needs related to diverse aspects of everyday life. Mathematics has been accepted as significant element of formal education from ancient period to the present day. Mathematics has a very important role in the classroom not only because of the relevance of the syllabus material, but because of the reasoning processes the student can develop.