Mathematics is perhaps the one subject that students are really happy to be doing, or dreading having to do it. Mathematics is different from lots of other subjects because it involves a student not only having to think about the information that is presented to them, but what information is important to completing a task, and how they will use the important information to find an answer. A student may understand how to solve a task after looking and thinking about the information given, but may not understand why certain steps are taken to getting the answer they eventually come up with. This is a crucial component in mathematics that as a future teacher I need to understand my students’ thought processes and understandings of mathematical tasks or problems. My problem solving interview began with selecting a student to interview. I wanted to do it at random, but I also know that my class is a low class, and so I selected one of the better students in the class, at least in math. I was aware of this student’s abilities in mathematics, and that they would be open and able to explaining their thoughts, and the processes they would take to make their best effort at completing the problems. I created two problems for this student based on what they had been learning in mathematics during the course of the week. The first problem was two students are buying Pokemon cards. Student A bought eight packs of cards with 146 in each pack. Student B bought three backs with

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## Facilitating Classroom Discourse Paper

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The purpose of the study is to identify how varying ways of knowing mathematics manifests in the use of the core practice of facilitating classroom discourse. I am interested in better understanding how teachers use their mathematical knowledge for teaching to facilitate meaningful discourse. Gaining greater understanding it this area will aid in assisting teachers in developing the skill of facilitating meaningful discourse. The ability to engage students in mathematical discussions that enhance student learning has continued to be a topic in mathematics education and is viewed as a major component of mathematics education reform. It is vital that teachers, novice and experienced, develop the skills necessary to create a learning environment

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How are your lessons designed for student learning of mathematical concepts, procedures/algorithms, and mental math strategies through problem solving?

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## Verbal And Second Graders ' Communication Of Mathematical Thinking, By Kathleen Kostos And Eui Kyung Shin

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The author explains how many students, especially those in the focused-upon second grade class, have difficulty explaining their “mathematical thinking process”. While they may provide correct answers using memorized calculations, they are unable to demonstrate their conceptual understandings or explain how they achieved the right results. As stated by the researcher, “it is important for students to be able to demonstrate their mathematical thinking as well as their method of solving a problem” (Kostos & Shin, 2010, p.223).

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## Community Project. Dolly Thomas. Albany State University.

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Another idea to improve mathematics performance in elementary level is to encourage the student to link the existing knowledge and the new knowledge effectively while working math problems/examples. A worked example is “a step-by-step demonstration of how to perform a problem” (Clark, Nguyen, & Sweller, 2006, p. 190). This will prepare the students for similar problems in the future as they bridge the connection between the problems and the examples. In many cases, students are encouraged to link the informal ideas with the formal mathematics ideas that are presented by the teacher to be able to solve problems. When students examine their own ideas, they are encouraged to build functional understanding through interaction in the classroom. When students share among themselves on differences and similarities in arithmetic procedures, they construct the relationship between themselves hence making it the foundation for achieving better grades in mathematics. Teachers can also encourage students to learn concepts and skills by solving problems (Mitchell et al 2000). Students do perform successfully after they acquire good conceptual understanding because they develop skills and procedures, which are necessary for their better performance. However, slow learning students should engage in more practice

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## Personal Narrative: My Interview With Charlie Cost

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## Essay On Manipulatives

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Based on several studies, one of the best ways to understand mathematical ideas and apply these ideas is through the use of manipulatives. Students explore these manipulatives, however, it is important that they make their own observations. The teacher then should model and show how to use the materials and explain the link of these materials to the mathematical concept being taught. Schweyer (2000) stated that students learn best when they are active participants in the learning process where they are given the opportunity to explore, assimilate knowledge and discuss their discoveries.

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Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, or as the science that draws necessary conclusions. This latter view encompasses mathematical or symbolic logic, the science of using symbols to provide an exact theory of logical deduction and inference based on

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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.

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## Mathematics Is A Important Part Of The Curriculum Essay

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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.

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## How Mathematics Has Changed My Life

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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).

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## I Have Always Had A Passion For Mathematics Essay

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I have always had a passion for mathematics. Outside of school, I did sudokus, measured my entire house, made graphs, and even created my own problems to explore mathematics. I would do all of my work, including tests, without a calculator just to challenge myself and do more math. As the concepts increased in difficulty, the subject became even more fun for me. The dedication and creativity required in advanced mathematics have only empowered my enthusiasm for mathematics. The problem-solving within mathematics and the love I had for the subject inspired me to become a teacher.

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## Essay about Montessori Math Rationale

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Mathematics, like every creation of man, have evolved without really knowing how far you can get with them: the scope of the computer, physics, chemistry, algebra, all are evidence of this. Every aspect of our culture is based in some way or another in Mathematics: language, music, dance, art, sculpture, architecture, biology, daily life. All these areas of measurements and calculations are accurate. Even in nature, everything follows a precise pattern and a precise order: a flower, a shell, a butterfly, day and night, the seasons. All this makes mathematics essential for human life and they can not be limited only to a matter within the school curriculum; here lies the importance of teaching math in a pleasure, enjoyable and understandable way. Mathematics is an aid to the development of the child and should be seen as an aid to life and not as an obstacle in their lifes.

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## Philosophy in Mathematics Essay

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Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In order to understand the impact of mathematics, this paper will delve into the three philosophers of the past who have contributed to this academic. In this paper, I will cover the views of three philosophers of mathematics encompassing their

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## Importance Of Learning Mathematics Essay

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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.

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