1. One of the key things that I learned from Developing Fraction Concepts is how important it is for students to learn and fully comprehend fractions. In this chapter, the author talked about how fractions are important for students to understand more advanced mathematics and how fractions are used across various professions. As I was reading this, I thought about all the nurses who use fractions when calculating dosages and how important it is for them to get the dosages correct. If a nurse messed up the dosage amount, then it can result in someone’s life being taken away. After I thought about this, I began thinking about the next generation of kids and our education system. I think it is very important for us, teachers, to teach our students …show more content…
Another thing that I learned from this chapter is how difficult it can be for students to comprehend fractions. This chapter talked about all of the different concepts that fractions can represent and how hard it can be for students to understand all of these concepts. The chapter also discussed how students get confused about the way fractions are written and how instruction would be better if it focused on conceptual understanding of fractions. I think that it is very important for us, teachers, to know what our students struggle with, so we can help clear up any misunderstandings.
3. The last thing that I learned from this chapter is all of the different ways you can teach fractions. This chapter talked about area models, length models, and set models and how they can help your student learn fractions. Area models help your students see the area covered (the fraction) as it relates to the whole unit. Length models help your students see the location of a point in relation to 0. Last but not least, set models help your students see the objects in a subset as it relates to the defined whole. All of these models can help your students get a better understanding of fractions.
2 Questions That I Still Have About What I
Due to the deeper understanding required to successfully execute this portion of the lesson, the higher-level Cognitive Demands for procedures with connections tasker assigned J, K, L and M. In doing mathematics,
Explain in words and use number examples DiNozzo – 4 points - 3. Explain what a fraction means. Tell what the numerator represents, what does the denominator represent and how that makes a fraction part of something. McGee – 6points - 1. Write 5/8 as a decimal and a percent.
“One thing is certain: The human brain has serious problems with calculations. Nothing in its evolution prepared it for the task of memorizing dozens of multiplication facts or for carrying out the multistep operations required for two-digit subtraction.” (Sousa, 2015, p. 35). It is amazing the things that our brain can do and how our brain adapt to perform these kind of calculations. As teachers, we need to take into account that our brain is not ready for calculations, but it can recognize patterns.
I believe that teachers should be doing more in the classroom
Prior knowledge and understanding- children need to have prior knowledge to enable them to understand the ideas presented. Understanding- children need vocabulary related to the ideas presented Context- the mathematical concept must be understood by the child/children they need something to relate to, to back up what they are being presented with. Resources available-
It also addresses procedural fluency in that students, with conceptual understanding, will “perform operations,” building on the arithmetic skills they already have with their procedural fluency of exponent laws. Students will use problem-solving skills when they must decipher context to find relevant information in order to perform operations in scientific notation. The lesson 1 learning objective, “given a very large or small number, scholars will be able to write an expression equal to it using a power of 10 and identify whether or not a number is written in scientific notation,” will address conceptual understanding and mathematical reasoning as students make a connection between powers of 10 and their prior knowledge of place value, understanding that the power of 10 has meaning. Students must then use mathematical reasoning to judge how large or small a power of 10 is.
The learning objective for lesson one is, “students will be able to identify and draw points, lines, line segments, rays, and angles.” The learning objective for lesson two is, “students will be able to classify triangles by the size of their angles.” The learning objective for lesson three is, “students will be able to identify and draw parallel lines and perpendicular lines.” The learning objective for lesson four is, “students will be able to sort and classify quadrilaterals.”
• Misconceptions are commonly seen when the students create number pattern from performing subtraction. Even if they write a wrong number in the third position, the same mistake is likely to continue in all the numbers that
procedural fluency - Students will gain procedural fluency in the lesson through the teacher modeling and guided practice with math concepts. Students will use a variety of manipulatives to achieve a better understanding of how to represent and solve problems involving addition and subtraction within 20. F. Explain how one instructional strategy in your lesson plan (e.g., collaborative learning, modeling, discovery learning) supports learning outcomes. One instructional strategy found throughout my lesson plan is modeling. As the teacher the thinking out loud while moving through the process of solving the problem students are not only hearing my thoughts, they also can mimic the process.
Second, I would introduce a problem that the student might find interesting and excite their interest for the challenge of solving a long division problem. Third, I would model how to work through some long division problems with the use of material scaffolding in the form of the mnemonic device and guided examples mentioned in answer 4-B. Fourth, I would use the mnemonic device as a handout, and poster on a wall, to let practice my student practice long division problems with the mnemonic device as a reminder tool. The mnemonic device could be “Dad, Mom, Sister, and Brother,” which would stand for “Divide, Multiply, Subtract, and Bring Down.” I would also model and practice the guided examples with the student on a handout. Fifth, I would begin task scaffolding by walking through each step in solving long division using the mnemonic device provided above along with the guided examples.
Math is often one of the hardest subjects to learn. Teachers know rules that can help students, but often they forget that those rules become more nuanced than presented.
Chapter two covered different methods of fractions. Fractions are utilized often in everyday life, and I would venture to say that they are probably used more than most math methods. One of the most interesting concepts as it pertains to fractions are converting improper fractions to mixed fractions. Therefore, the video attachment chosen from youtube covers that and begins with defining improper fractions. The main point was in the instructional video was a fraction is a improper fraction when the numerator is larger than the denominator.
The activity in this lesson then focuses more on the math concepts rather than the economic concepts. I think that there should be more of an economic focus since this is a specifically economic unit. There are some lessons in which I believe math and economics is integrated in a way that is very beneficial to the students. When talking about productive resources, the connecting math concept is time. This talks about how producers have limited time when producing goods.
Teachers should be in charge of education. The things which a person sees and touches are precise replica of the endless standard which has brought them into
Teachers play a vital role in the society. Their impacts are felt by the lives of all children from different backgrounds, including those children with varying levels of understanding, abilities and those from families that exhibit wide range of cultural and linguistic diversity. Teachers are educators or instructors saddled with the responsibility of educating children by grooming and helping them to discover their talents (Rahman, Nabi, Akhter, Saeed & Ajmal, 2011). According to them, teachers have long-lasting impacts on the lives of students who live to enjoy the knowledge they avail to them. They have good classroom management skills, ensure good student behaviour, effective study and work habit (Tehseen, 2015).