ABSTRACT
It is generally accepted that learning implies a multitude of factors meant to prepare the children for life and its challenges. Some of these factors are directly related to the level of knowledge of subject matter, but others are based on individual feelings, relationships, or capabilities of developing a sense of belonging and personal worth, confidence, or attitude toward a certain content area. All these elements together form the foundation of student’s future success. On many occasions, certain factors such as the teaching approaches, encouragement from family members and school personnel, or past experiences in learning mathematics are important in creating a positive view of mathematics. From basic arithmetic to the more advanced calculus courses in first years of college, students build
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This is a natural process, and it continues throughout our entire life. Unfortunately, for centuries the traditional education system has discouraged a process of student-teacher interaction. In traditional classrooms students were not encouraged to ask questions, but instead were supposed to listen and respond with expected answers. The result was that historically, mathematical aptitude was difficult to be discovered or addressed in the classrooms, and many students had fewer opportunities to analyze their attitude or confidence with respect to mathematics. Conversely, it is widely accepted, as mentioned in the literature (Edwards, Harper, Cox et al., 2014; Nebesniak, Burgoa, 2015) that in mathematics at least, asking students to memorize facts is not the best approach to education, and given technological advancements much of this information can be easily accessed. This supports the idea that students should be engaged not in memorizing information but in inquiry, for asking questions, while problem solving allows them to learn what to do with the information they can
Ebonics refers to English speech patterns commonly used by African Americans (“What is Ebonics (African American English)?”). Ebonics often has a negative connotation because some people believe that Ebonics is the same as slang, or street jargon. Furthermore, others may feel that people who speak Ebonics are either emulating pop culture, or are incapable of speaking Standard English (“Ebonics is Defective Speech and a Handicap for Black Children”).
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
I believe Math is learned by doing the problems and doing the homework. The problems help you learn the formulas you need to know, to help with problem solving. I have learned from my own personal experience that you must keep up with the Instructor: attend class, read the text and do homework every day. Falling a day behind puts you at a disadvantage. Falling a week behind puts you in deep trouble.
The general belief around the country (or perhaps even the world) is that math classes will be beneficial to a well rounded student. In some cases, such as the author argued, this might be true as a recent high school graduate who hasn't had the life experiences that someone later in their life might have. The author continues to explain that in their line of previous work and general experience, they already have the general math knowledge that their degree will need.
Matthew Misiura is a math teacher at Susquehanna Community High School. Mr. Misiura explains that he always pushes for “content mastery” in his math classes. However, Mr. Misiura’s teachings are more than an average algebra and precalculus class. Mr. Misiura pushes for students to learn about the real world. He pushes for students to always work to their full potential. In a year in his classroom, I not only learned precalculus and trigonometry, but I learned how to view situations from a different perspective. Some students, when given back a test in which they failed, would cry, act childish, or simply complain. Mr. Misiura was able to reinforce the belief that the only way to learn is to make mistakes. He often stated that, if you already
The National curriculum states that in Mathematics teachers should use every relevant subject to develop pupils’ mathematical fluency. Confidence in numeracy and other mathematical skills is
As a mother, homeschooler and coach, Teresa Carter, the founder and author of MathUsolve.com, believes that mathematical problem solving should be part of every child’s curriculum. It is because during her years of coaching students as well as her own young children, she has discovered that problem solving helps students develop deeper understanding of mathematics. As many students do not believe that they would ever be very good at solving problems, her goal has been to help her students develop confidence in their own mathematical ability by helping them become better
I encourage an atmosphere in which mathematics is appreciated simply because Maths is beautiful. Examples of the beauty of mathematics: a well-constructed proof, a simple trick/technique to solve a problem. Mathematics can be viewed as an art, a beautiful work worthy of admiration. If the student sees math as not only a means to an end (e.g., to apprehend physical processes) but an end in itself, he/she will ultimately develop respect, admiration, and then aspiration for the subject.
For this particular study, a survey including 39 closed questions (developed by Alan Schoenfeld in 1989) was used. All items on the survey were in the form of a seven point rating scale, with 1 being “strongly agree” and 7 being “strongly disagree”. The questionnaire was determined to be extremely consistent with an alpha of 0.8468. The survey contained questions associated to student’s perception of what mathematics is and how to do well in it, what mathematics solutions should be, how math problems can be solved, how mathematics is learned, and student motivation. For the first 33 questions, the students were asked to rate them on the seven point scale described above. The last six questions on the survey dealt with grades, gender, and perception of the children’s parent’s attitudes towards mathematics. The researcher also used a two-tail t-test to compare the mathematical perceptions of Chinese and American students. The average of each cateogry in the survey was also compared. As stated above, there were six main categories being compared: what
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.
Mathematics has always been a difficult subject for students. Many children have developed phobias and barriers towards mathematics, which prevail into adulthood, thus limiting their potential. This limitation implies problems of learning, resulting in the child a sense of inferiority.
Every teacher in the education system plays a large role in the life of a child. Each teacher will give a student something that will stay with them for all their life. Math teachers especially generate something inside a student that inspires what a student will want to pursue in life. Math is in almost every career available in today’s society, technicians use math to calculate the proper equipment they will need, chefs use mathematics to measure the needed ingredients, scientists use mathematics to calculate the probability that a certain reaction will occur. The career of math educators is very important to the development of young minds, although the career is having a crisis of lack of teachers. Without our math teachers we wouldn’t know to build computers, or do measurements, we wouldn’t understand astrology, or even some elements of biology. Math education is much more important than anyone realizes.
Mathematics is an important part of everyday life and as teachers in the early years, we are responsible for teaching children the fundamentals of mathematics and helping develop children’s passion for learning mathematical concepts. Knaus (2013) states that “An effective teacher of mathematics will ask questions to provoke children’s thinking and introduce the language of mathematics to help children see the connections between the world and mathematical concepts (pg.3). As I progress through my degree and complete each Math unit, I have begun to recognise mathematical understanding and concepts, I need to develop if I am going to become an excellent teacher of mathematics. Standard 1.2 of the Australian Association of Mathematics Teachers [AMMT] (2006) confirms that ‘excellent teachers of mathematics understand how mathematics is represented and communicated, and why mathematics is taught (p.1). The first section of this essay will reflect on my mathematical understandings followed by a section reflecting of my knowledge and ability to help children confidently demonstrate and develop mathematical skills and processes. Lastly a conclusion of how this will benefit me to become an excellent teacher.
The authors highlight how the transition to university level marks an extremely difficult period for most students; according to Liston and O'Donoghue, the starting point of their research was based on the finding that service mathematics, enjoyment of math, and math self concepts were found to be the most significant variables which impacted the performance of students in math (2010). Thus, in conducting this quantitative study, the authors wanted to determine what the precise reasons or motivations were for why certain participants in the study gave the answers they did. The data collection methods involved university participants and semi-structured interviews; the interviews
Mathematics is a type of reasoning. Thinking mathematically includes thinking in a rational way, developing and checking conjectures, understanding things, and forming and validating judgments, reasoning, and conclusions. We show mathematical habits when we acknowledge and explain patterns, build physical and theoretical models of sensations, develop sign systems to assist us stand for, control, and review concepts, and create treatments to address issues (Battista, 1999).