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Importance of mathematics
Importance of mathematics for students
Importance of mathematics and its relationship to other subjects pdf
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1) Explain how you would define one-to-one correspondence when talking with a parent.
One-to-one correspondence is one of the most important math skills that a child needs. It is the basic math skill to understand counting and equivalence. One-to-one correspondence is a skill that young children work with and it continues to intensify as they get older. For example: One earring goes in one ear. Two socks, for two feet. One highchair, for one baby. As they grow older, teachers can work in different ways to practice children’s one-to-one correspondence. For example: The teacher gives the children a work sheet. The worksheet has a picture of 5 cats and 3 bowls of milk. Do all of the cats have a bowl of milk? No, it’s not equal.
2) How should
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the adult respond in each of the following situations? a.
The teacher could respond by saying “Good try Rudy! But let’s try that again.” The teacher could then show Rudy how to count to seven using her ten fingers. A visual tends to be easier for children. Most children can count to ten by using rote counting.
b. The teacher could respond by saying “Great observation Tony! You are right, we both have two eyes!” Then maybe follow up with another question such as “How many noses do we have?” Tony is using his basic one-to-one correspondence skills and observing that what he has, is also similar to what his teacher has!
c. The teacher could respond by saying “Thank you Jada, could you hand out the spoons?” The teacher should let Jada hand out the spoons and then when she has one left over, the teacher can explain to Jada “Ops! You must have grabbed seven spoons instead of six! You have one too many!” This allows Jada to recognize her problem. She had enough spoons for everyone, but also had one left over. That means too many.
d. The teacher could ask Lani to rote count to six. After that they could tell Lani to move the blocks to another location after she has counted it. That way she doesn’t skip a number or recount a block. The teacher could recite a counting song with Lani to help her remember that six comes before
seven. e. The adult that is sitting with the children could promote math by singing songs with the children. EX: The five little speckle frog song. This song starts out with ten frogs and ends up with zero. You use your hands while singing it and make funny faces. This allows the children to have fun but also learn. They could also play I spy. The teacher could ask “How many pink flowers do you see outside of the door? “How many children have on blue shirts?” This helps the children observe and use rational counting. 3) Decide which features, as described in this unit, are being used in each of the following. a. This one is considered classification. Grouped together by color, shape, pattern, texture, function, association, class name, common feature, or number. b. This is considered sorting. c. This is considered sorting. d. This is considered grouping. 4) Give two examples of naturalistic, informal, and adult-guided comparison activities. a. Adult guided- EX 1: The teacher places two water bottles on the table. One is filled with water and glitter. The other is filled with water and necklace beads. The teacher then asks the students to explain what the differences are. EX 2: The teacher has two bouncy balls. One is smaller and lighter. The other is large and heavy. She asks the students to bounce them and decide which one bounces the highest and why they think that. b. Naturalistic- EX 1: The boy realizes that he cannot play on the concrete because he will trip and scrap his knees. EX 2: The girl notices that there is more chalk to play with than there is basketballs. c. Informal- EX 1: A girl told her teacher “I am older than he is. He is still three years old and I turned four years old last week!” EX 2: As the children were drawing with their chalk outside, the teacher heard them comparing the size of their chalk. “My chalk is longer than yours.” “My chalk is fatter than yours” 5) Explain how a child’s knowledge of parts and wholes can be assessed through observation and interview. Children can learn from observing and interviewing. As we can learn from the children too. A child’s knowledge can be assessed through observation by watching to see if the child divides items equally. Do they cut or break something into smaller parts? Do they realize when something is missing? They observe the toys. They understand that half of a sandwich is just missing the other half. EX: A child notices when they only have half of a container of play-doh or their marker is missing a lid. Children without knowing divide toys into groups while sharing.
Preschoolers love to count and of course, like mentioned in the article, they always love to mention the fact that someone else in the classroom has more of something then they do.
I visited Mrs. Cable’s kindergarten classroom at Conewago elementary school one afternoon and observed a math lesson. Mrs. Cable had an attention-grabbing lesson and did many great things in the thirty minutes I observed her. I have my own personal preferences, just like every teacher, and I do have a few things I would do differently. There are also many ways this observation can be related to the material discussed in First Year Seminar.
Another thing that I observed and recorded with an a frequency count was Jamie doing several work sheets. One of theses worksheets was a math specifically counting and the other worked on identifying objects that started with the letter R. After the teacher gave instructions on both the papers Jamie started to work on her worksheets. With in the time it took her to finish these worksheets (less then 15 minute) Jamie ask on of the adults if she was doing the work correctly about seven times. One thing that I would modify in the future is the instructions that were given at the beginning. I would make sure that the students understood what they were support to be doing before they started the assignment. I would also be very specific with
The problem of mismatches among children in the classroom is something that is very prevalent today. Jelani Jabari explains this prevalence with the definition of insanity: “doing the same thing over and over again and expecting a different result” (Jabari, 2013). Teaching every student in the same way
N.G., 4 years, 11 months, embodied all I could ask for in a child to conduct such an interview on. Nearing her fifth birthday in the upcoming week, her age is central between ages three and seven, providing me with information that is certainly conducive to our study. Within moments upon entry into our interview it was apparent that my child fell into the preoperational stage of Piaget’s cognitive development. More specifically, N.G. fell into the second half of the preoperational stage. What initially tipped me off was her first response to my conduction of the conservation of length demonstration. Upon laying out two identical straws, her rational for why one straw was longer than the other was, “it’s not to the one’s bottom”. This is a perfect example of an intuitive guess, though showing a lack of logic in the statement. A crucial factor of the preoperational stage of development is that children cannot yet manipulate and transform information into logical ways which was plainly seen through the conservation of number demonstration. Though N.G. was able to correctly identify that each row still contained an equal number of pennies upon being spread out, it required her to count the number of pennies in each row. In the preoperational stage of development children do not yet understand logical mental operations such as mental math as presented in the demonstration. Another essential element that leads me to firmly support N.G.’s involvement in the preoperational ...
All children learn differently and teachers, especially those who teach mathematics, have to accommodate for all children’s different capacities for learning information. When teaching mathematics, a teacher has to be able to use various methods of presenting the information in order to help the students understand the concepts they are being taught.
“The path of development is a journey of discovery that is clear only in retrospect, and it’s rarely a straight line” (Kennedy-Moore & Lowenthal, 2011). Because development happens this way, it can have many implications for teachers. There are multiple factors and processes that contribute to the variability of individual development of children, however, these differences can be overcome and teachers can give every child the support they need to achieve. Factors specific to the middle childhood years include vocabulary development, differing temperaments, development of attention, fine motor coordination, gross motor skills development and concrete operational development, including conservation, classification and seriation. Although they can create some disorder, these factors should not significantly hinder a child’s education, but teachers should adjust their lesson plans to accommodate all kinds of abilities, including physical abilities.
“Place value understanding requires an integration of new and sometimes difficult to construct the concept of grouping by ten” (Van de Walle, Karp, Bay- Williams, 2013a, p. 193). In the first case study, the student in this problem used a single chip to demonstrate the one in the tens place on his paper. The learner failed to distinguish that the one, stands for a group of ten and not a single chip. This student is still using a count by one approach learned in Kindergarten (Van de Walle, Karp, Bay- Williams, 2013b). The pupil should be exposed to the practice of grouping by ten. The teacher can use a variety of strategies to help the student develop the concept of grouping by ten. To begin, the teacher should encourage the ...
Since the beginning of time, fathers have had a profound effect on their child’s development. Over the years, the norm for traditional family dynamics of having a father figure in the household has changed drastically, and so did the roles of the parents. It is not as common as it used to be to have a father or father figure in the home. In this day and age, women are more likely to raise children on their own and gain independence without the male assistance due to various reasons. The most significant learning experience and development of a person’s life takes place in their earlier years when they were children. There are many advantages when there is a mother and father combined in a
In contrast, students with dyscalculia often use a count all method when working with math problems. As stated in Socioeconomic Variation, Number Competence, and Mathematics Learning Difficulties in Young Children “Young children who develop mathematical learning difficulties rely on the more basic “count all” finger strategies for extended periods…thus make frequent counting errors while adding and subtracting” (Jordan & Levine 2009, pp.63). Students with dyscalculia approach problems in a similar fashion and do not use effective strategies when working with numbers. As a result, they tend to take long periods of time to figure a problem and make mistakes when counting. On the other hand, students who use effective strategies, such as grouping when doing addition or subtraction are more likely to arrive at the correct
I did my parent-child observation at a restaurant in Batesville Indiana. I went to a small family owned place called Wagner’s. I did my observation over Thanksgiving break after my family cut our Christmas tree down. This occurred on Saturday November 28th around 6pm. This is a place that I am relatively familiar with. I have been going there with my family every year since I was a young child. It is a pretty small restaurant. While one side has a bar, the other side is more family oriented. It is a child friendly place that has a small area that toddlers and young kids can play. It has coloring books and small toys.
On one of my first days of school placement I learned the importance of teachers having good questioning skills. I was helping out one afternoon when a young child, pulled out the chair of a classmate as he was about to sit down and the student fell on the floor. It was quite a dramatic incident and I was very impressed by the way the teacher used questioning to deal with the wrongdoer and make him think about his actions and see the error of his ways using leading questions without getting angry and shouting at the child. The teacher’s conversation with the student, who for privacy reason’s we’ll call John, went something like this.
The lesson is about knowing the concept of place value, and to familiarize first grade students with double digits. The students have a daily routine where they place a straw for each day of school in the one’s bin. After collecting ten straws, they bundle them up and move them to the tens bin. The teacher gives a lecture on place value modeling the daily routine. First, she asks a student her age (6), and adds it to another student’s age (7). Next, she asks a different student how they are going to add them. The students respond that they have to put them on the ten’s side. After, they move a bundle and place them on the ten’s side. When the teacher is done with the lesson, she has the students engage in four different centers, where they get to work in pairs. When the students done at least three of the independent centers, she has a class review. During the review she calls on different students and ask them about their findings, thus determining if the students were able to learn about place value.
The early acquisition of mathematical concepts in children is essential for their overall cognitive development. It is imperative that educators focus on theoretical views to guide and plan the development of mathematical concepts in the early years. Early math concepts involve learning skills such as matching, ordering, sorting, classifying, sequencing and patterning. The early environment offers the foundation for children to develop an interest in numbers and their concepts. Children develop and construct their own meaning of numbers through active learning rather than teacher directed instruction.
Many parents don’t realise how they can help their children at home. Things as simple as baking a cake with their children can help them with their education. Measuring out ingredients for a cake is a simple form of maths. Another example of helping young children with their maths is simply planning a birthday party. They have to decide how many people to invite, how many invitations they will need, how much the stamps will cost, how many prizes, lolly bags, cups, plates, and balloons need to be bought, and so on. Children often find that real life experiences help them to do their maths more easily.