# The Importance Of Mathematical Modeling In Education

740 Words 3 Pages
Mathematical modeling is a process where the mathematical knowledge, the skills and strategies that students already know are used to investigate and solve real world situations. Mathematics modeling in PreK-8th grade starts out with a real world problem. The teacher no longer plays the role of teacher, but more so a facilitator, that guides the students into what tools and strategies they already know, that would help them solve the problem given. These problems or situations or tasks, are not just random textbook questions. “Teachers should launch mathematical modeling problems from questions that children naturally ask about science, social studies, literacy, art, physical education, or music, which may occur during classroom activities …show more content…
The situation is “Tat Ming is designing square swimming pools. Each pool has a square center that is the area of the water. Tat Ming uses blue tiles to represent the water. Around each pool there is a border of white tiles. Below are pictures of the three smallest pools that he can design with the blue tiles for the interior and white tiles for the border (California Dept. of Education, 2015).” The questions then ask if there were 32 white tiles how many blue tiles would there be for the pool? Each tile has a side length of ten inches, what is the largest pool that someone could put into your classroom? This real-world situation is modeling with mathematics task because it allows students to have several entry points into finding a solution. This task allows students to think creatively, and work together to find a solution, as the teacher simply facilitates and asks them guiding questions. This allows students to think about strategies and skills they already know, and apply them to the situation to find a solution, and it may be a different strategy than their neighbor to be …show more content…
It is taking strategies and tools that they already know, or are learning about, and instead of applying them repeatedly in textbook questions, it is applying them in a real world problem. Connecting mathematics to the real world is beneficial to the students because it allows for them to understand why a skill or strategy or mathematical idea is useful, and then how they can use it in their own lives, and not just in a classroom. Mathematics needs to be challenging, but engaging connecting it to the real world gives it meaning to the students, and having tasks that are relatable to their own lives will give it extra meaning for them to complete, and they will want to complete it and find a solution, instead of being forced to finding a solution for a textbook question. I certainly would want to teach mathematics using modeling, however, I also would find it challenging to be able to do so on a daily basis. This is really the first time I have ever heard of modeling with mathematics so I do not think I am fully prepared to teach it in the classroom, yet. I think with so much riding on high-stakes testing, and all the curriculum programs that you are given, it would be difficult to use modeling with mathematics

• ## Reflective Summary Of A Math Lesson

What I found with this class, MIP, and observations in general, is not that I don’t like math, it is that the way I learned it. Learning mathematics was a one way structured concept. After learning about manipulatives, different techniques, and strategies, mathematics are more appealing to me. In order to be an effective mathematics teacher I will provide different opportunities for growth, and experiences to build knowledge. I will use manipulatives and strategies to adapt learning and provide an engaging classroom.…

Words: 1003 - Pages: 5
• ## The Importance Of Teaching Through Problem Solving In Mathematics

Teachers should select tasks that allow students to learn content by having students figure out their own strategies and solutions. There are several good reasons for teaching through problem solving. Teaching through problem solving focuses students’ attention on ideas and has them reflect on the concepts; develops student confidence and makes them feel that they are capable of doing mathematics; provides a context or environment to help students build meaning for the concept; allows entry points for a wide range of students; provides ongoing assessment data useful for making instruction decisions, helping students succeed, and informing parents; allows for extensions for students who finish early; and engages students because it is a lot of fun (page 34, ¶1-9). Teaching through problem solving has benefits for learning and…

Words: 1155 - Pages: 5
• ## Purpose Of Education Research Paper

Then, I can plan learning/instructional modifications based on what they need to learn. I will need to give a clear idea to the students of what they will learn, help them to focus on the purpose of learning rather than completing an activity. It is important to have the learning goal aligned to the essential concept and skill because when I assess my students, it will be based on the learning goals. When it comes to mathematics, for every learning goal it will have objectives describing what students need to acquire. Teaching math can be a bit hard because some students will not understand the analytical and computational skill immediately.…

Words: 813 - Pages: 4
• ## Montessori Method Essay

As the Montessori preschool student moves closer and closer to having an abstraction way of learning, the need for the child to use the materials for a long time shortens. All Montessori math lessons are presented first with the materials, but the old child quickly moves from concrete materials to abstract ones. It is in this stage where practical use of mathematics is important. Montessori students for the age of six, enjoy learning how maths can fits in the grand scheme of the cosmic education. This includes studying ancient mathematicians such as Pythagoras, Euclid, Eratosthenes and…

Words: 894 - Pages: 4
• ## Montessori's Importance Of Mathematics

Similar to words, numbers are like another language and it is important to help a person grow in society. Numbers are symbols which we use to help us think and give us an idea like a sentence would. Montessori along with many other theorists understood that if mathematics was introduced to a child from early stage in their life, it would grab the child’s attention through their sensitive period. Montessori also knew that Mathematics is not difficult for anyone once it has been taught properly. Even in today’s era numerous shared worries linking to maths are a result of the child being requested to carry out abstract calculations too soon, instead of being able to work at their own pace.…

Words: 1049 - Pages: 5
• ## The Importance Of Math And Science

In preschool, this is also the same. When children are playing with building blocks they use both science and math to sort objects and create patterns. When it comes to science, a teacher’s role is to provide the materials, resources and guidance for the children to have opportunities to discover and explore problems. Let’s provide water tables and different materials for the children to explore. Although the teacher doesn’t directly have a lesson plan about objects that float or sink in the water prepared, through observation and experiments the children will start to notice the difference and use reasoning of how this happened without becoming aware of it.…

Words: 815 - Pages: 4
• ## Manipulatives In Mathematics

6. Why is this study important? The study is important because it helps to outline the possible prominence in using manipulative in teaching mathematics and making children learn and understand concepts better. Possible options for framing and providing alternatives for teaching can thus be implied and effective learning and grasping of concepts be achieved. 7.…

Words: 744 - Pages: 3
• ## Mathematical Proof Analysis

Mathematical proof is a method used in both primary and secondary schools at varying levels. Children should be able to justify and give reasons for a conjecture they have produced in order to validate a mathematical proof. There are various techniques that can be used to illustrate the nature of proof in schools. Mathematical proof is defined as a thorough and believable argument to support the truth of a prediction in maths, which turns the assumptions into valid conclusions (Haylock and Manning, 2014). Children may be encouraged to move towards the understanding of proof by asking questions, such as ‘Are you positive that it will happen every time?’ (Mooney et al., 2012; Pepperell et al., 2009).…

Words: 785 - Pages: 4
• ## Reflect And Critically Analyse A Classroom Scenario In Mathematics

This report will reflect the lesson plan on four parts firstly, key mathematical ideas and skills secondly, link to relevant curriculum and understanding the learning sequence thirdly, appropriate models, teaching approaches, developing students understanding and materials for learning and finally, how children learn the mathematical concepts. Primary mathematics, numeracy and literacy are key domains of learning which are central for the success of students at school. Numeracy is an outcome of how mathematics is taught and learned – it bridges the gap between mathematics learned at school and the contexts used in…

Words: 1207 - Pages: 5
• ## Importance Of Mathematics In Mathematics

The primary goal of mathematics teaching and learning is to develop the ability to solve a wide variety of complex mathematical problems through understanding the different mathematical concepts. This ability in mathematics will help the students to develop specific skills which are important for the student to be as a good problem solver in mathematics and…

Words: 1068 - Pages: 5