Understanding Mathematics Essays
This paper is an attempt to explain the structure of the process of understanding mathematical objects such as notions, definitions, theorems, or mathematical theories. Understanding is an indirect process of cognition which consists in grasping the sense of what is to be understood, showing itself in the ability to apply what is understood in other circumstances and situations. Thus understanding should be treated functionally: as acquiring sense. We can distinguish three basic planes on which the process of understanding mathematics takes place. The first is the plane of understanding the meaning of notions and terms existing in mathematical considerations. A mathematician must have the knowledge of what the …show more content…
The problem of understanding mathematics requires, in my opinion, a short presentation of a more general issue, that is the issue of understanding as such. I will treat understanding as a kind of indirect cognition, determined by the perception of the relations between the objects of various order (y becomes comprehensible for x as a part of the relation xRy, in which y is an object of a different order intentionally grasped by x). As it can be seen, I neglect here the problem of understanding another human being, although it is usually achieved through understanding the phenomenally accessible human behaviours, i.e. linguistic or extralinguistic creations.
It seems that the Polish philosopher Izydora Dąmbska grasped the problem of understanding accurately and concisely, stating that this kind of cognition is characterized by the following factors:
1) it refers to the objects connected with the spiritual realitysigns, psychic and psychophysical creations, logical structures sensu largo etc.
2) it consists in grasping relations which determine the sense of what is to be understood.
3) it enables the reconstruction and the application, in other conditions, of what we understand.
The essence of this kind of cognition, which we call understanding, decides about the hypothetical

Understanding Hexagons and Mathematics
747 Words  3 Pagesled to advances in quantum mechanics. Overall i learned that these neat flexagons have more purpose than entertainment. They are crucial to certain types of professions. These flexagons help us understand the use of shapes and numbers. By the understanding of these shapes we can understand other mathematical topics such as the golden ratio, or the fibonacci sequence in nature. All of these math topics have to do with shapes and how they fit together to better understand the world around us.…

The Learning Of Mathematics And Mathematics
1365 Words  6 Pagesconnections in mathematic concepts, Big Ideas must be employed by educators. The Australian Curriculum supports the use of Big Ideas to deepen students understanding of mathematical content. Students learn effectively when they can see connections between concepts. The most effective way to link an array of mathematical concepts is through Big Ideas. A Big Idea is defined as a “statement of an idea that is central to the learning of mathematics, one that links numerous mathematical understandings into a…

Mathematics And The Mathematics Competency Test
923 Words  4 PagesMathematics is an area that I have consistently struggled with throughout school and has continued into adulthood. The difficulty and negative experiences that occurred as a child impacted how I viewed and achieved in mathematics. I believe I perform at an average to below average skill level when completing mathematical tasks and struggle to attempt higher level activities. Simple maths that I find relevant to my everyday life I view as very useful and is an integral part of my life. Mathematics…

Why Mathematics Is Important For Mathematics
1463 Words  6 PagesMathematics 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…

The Physics Of Mathematics And Mathematics
1236 Words  5 Pagessimply because of the fallacies and imperfections of the human condition. Thus, it is reasonable that any human thought can be questionable. However, Mathematics is not to be doubted. Although, limitations, paradoxes and problems exist in mathematics and is a product of human intelligence, Nevertheless, Mathematics is a continuum of understanding of the universe and possible universes. This is because the symbols, signs and patterns of math exist in the universe, and Therefore, in order to unravel…

The Mathematics Of Mathematics Into Mathematics Education
1947 Words  8 PagesMathematics is a versatile and always changing subject as people research and theorize new ideas. Calvin Clawson proclaimed that “the single most compelling reason to explore the world of mathematics is that it is beautiful, and pondering its intriguing ideas is great fun” (2). To make this subject easier to explore, teachers should be implementing the history of mathematics into mathematics education. They should do so because of the numerous benefits that it would yield to students and teachers…

Why Is Mathematics Important For Mathematics?
2575 Words  11 Pagespresence of mathematics in everything that we are doing and in nature all around us. It was that broad exposure that led me to write about the importance of mathematics in our life. First, coming from a different country, and starting off with a different cultural background while searching for college admission in the United States to pursuing my personal academic interests. The road to success was not an easy path for me, but I succeeded in obtaining my bachelor’s degree in mathematics at Jersey…

The Mathematics Department Of Mathematics
1292 Words  6 PagesMontgomery college Department of Mathematics. The Mathematics department in Montgomery CollegeRockville is answerable for the course structure, content, standard and quality of the mathematics classes in the college. The department has 30 fulltime and 50 parttime professors. In addition, there are 10 tutors assigned by the department, who are working 1025hrs per week to accommodate the needs of students, seeking help in mathematics courses. These tutors are a group of students, who are majoring…

Mathematics : History And Mathematics
1548 Words  7 Pagespotential such as history and mathematics, it can distort our knowledge on world problems. Both subjects are very significant in life and everyone should have some knowledge on it. The lack of knowledge of both subjects would make things more difficult for numerous of people when it comes to world problems that can affect life such as health/medical problems and future events. The two areas of knowledge that will be focused on are History and Mathematics. History and Mathematics are both very significant…

Does The Otl Mathematics Instruction For Conceptual Understanding Matter?
960 Words  4 PagesDoes the OTL Mathematics Instruction for Conceptual Understanding Matter? Some studies have shown that preservice teachers and inservice elementary teachers have knowledge gaps in their mathematics content and pedagogical content knowledge (e.g., Ball, 1990; Ma, 1999). The knowledge that teachers have for teaching influence their instruction and the lack of such can limit how they teach mathematics for understanding (Borko & Putnam, 1996). For this reason, teacher preparation programs and professional…
More about Understanding Mathematics Essays

Understanding Hexagons and Mathematics
747 Words  3 Pages 
The Learning Of Mathematics And Mathematics
1365 Words  6 Pages 
Mathematics And The Mathematics Competency Test
923 Words  4 Pages 
Why Mathematics Is Important For Mathematics
1463 Words  6 Pages 
The Physics Of Mathematics And Mathematics
1236 Words  5 Pages 
The Mathematics Of Mathematics Into Mathematics Education
1947 Words  8 Pages 
Why Is Mathematics Important For Mathematics?
2575 Words  11 Pages 
The Mathematics Department Of Mathematics
1292 Words  6 Pages 
Mathematics : History And Mathematics
1548 Words  7 Pages 
Does The Otl Mathematics Instruction For Conceptual Understanding Matter?
960 Words  4 Pages