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Maths in everyday life
Mathematics in everyday life
Using math in everyday life
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According to the oxford dictionary, the word classify is defined as: to arrange (a group of people or things) into classes or categories according to shared qualities or characteristics. This essay will describe how sorting and classifying objects is related to the fundamental concepts in mathematics and how this process assists in learning and holistic development for the grade R child.
Classifying, in its early stages, according to Piaget, can be seen in a child believing that a cabbage and a ball belong together because they are the same shape, or thinking that a stop sign and a strawberry should be in the same category because of their colour. As the child develops they slowly learn more complex ways to classify objects. They begin to realise that the objects don’t have to look the same to be categorised together. For example, a piece of bread and an apple could be grouped together because they are both things that you can eat. So although they do not look alike, they belong in the same category. Learning to categorise can have very practical implications such as the child being able to sort his Lego from his blocks or keeping his clothes sorted in his cupboard. Already the child is being developed holistically. Classifying also helps to develop mathematical concepts that the child will use for the rest of their life.
Mathematics is essentially the study of patterns and relationships using numbers and symbols. Classification for mathematics starts with the ideas of making, describing and comparing of sets. By learning to follow the rules that have been set out to classify objects by their different attributes, the learners are beginning to understand the basics of some fundamental mathematical concepts. This process develops ...
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Finally, the first step in data handling is being able to sort your data into categories. Knowing how to sort and classify is obviously crucial to this process. Once the data has been sorted according to its different attributes it is then easy to represent it in a graph or table.
Another quote from Dr. Jean M. Shaw is this: “Sorting and classifying objects not only teaches children about attributes and relationships, but also promote thinking logically and applying rules. Sorting and classifying exercises can also provide children with models for organizing things in the real world, such as putting blocks away or setting the table for dinner.” This quote explains how sorting and classifying objects in the classroom can assist in holistic development and how the leaners can use what they have learnt through mathematics in other aspects of their daily lives.
o The terms of the classification tell us what the individuals in that class have in common.
These concepts include sorting and classifying, ordering, sequencing, and making comparisons. All of these skills begin in preschool and continue at different levels of complexity throughout the elementary, middle, and upper grades. In Clements’s article “Subitizing; What is it? Why Teach It?”
Piaget has four stages in his theory: sensorimotor, preoperational, concrete operational, and formal operational. The sensorimotor stage is the first stage of development in Piaget’s Theory of Cognitive Development. This stage lasts from birth to the second year of life for babies, and is centered on the babies exploring and trying to figure out the world. During this stage, babies engage in behaviors such as reflexes, primary circular reactions, secondary circular reactions, and tertiary circular
According to Bornstein & Arterberry (2010), categories are especially valuable in infancy and early childhood, when new objects, events, and people are encountered, because without the ability and proclivity to categorize, children would have to learn to respond anew to each novel entity they experience. Examining whether children value the same sample of characteristics as adults do when solving induction problems provides a window into how inductive abilities develop (Rhodes,...
Finally, children entering in and remaining in Piaget’s concrete operational stage undergo dramatic physical changes, are more able to set and pursue goals, and are more focused in their actions and thinking. There are many concepts that are discussed and contained within the third stage of Piaget’s theory. However, three of the most common concepts include conservation, classification, and seriation. These concepts will be discussed, and examples will be provided on how each concept could impact a child’s functioning in a home, educational
Mathematics has become a very large part of society today. From the moment children learn the basic principles of math to the day those children become working members of society, everyone has used mathematics at one point in their life. The crucial time for learning mathematics is during the childhood years when the concepts and principles of mathematics can be processed more easily. However, this time in life is also when the point in a person’s life where information has to be broken down to the very basics, as children don’t have an advanced capacity to understand as adults do. Mathematics, an essential subject, must be taught in such a way that children can understand and remember.
According to Piaget in the “preoperational stage, which goes through 2 to 7 years of age a child should have the ability to use symbols to represent objects in the world and thinking remains egocentric and centered” (Slavin ,2015) For example, I lined up two sets of quarters on a table in front of Ahmad. Each set of quarters had four in a row, I asked Ahmad which set of quarters had the most he told me that they all had the same amount. For the second part I lined the quarters up differently, but they still had the same amount the second row of quarters I spaced them out. I then proceeded to ask Ahmad the same question which row of quarters had the most he replied the second row. I asked Ahmad why did he think the second row had the most, he replied because it is larger. This method would be conforming to Piaget’s principle of conservation, “one manifestation of a general trend from a perceptual-intuitive to an orientation, which characterizes the development of conceptual thinking” (operational Zimiles
Piaget believed that children in this stage experience two kinds of phenomena: pretend play and Egocentrism. Pretend play is the ability to perform mental operations using symbols. Egocentrism is the inability to perceive things from a different point of view. For example, a child covering his own eyes, because he believes that if he can’t see someone, then they can’t see him as well. When a child is seven to eleven years old, it is in the concrete operational stage. At this point, Piaget believed that children are able to grasp the concept of conservation. Conservation is the principle that mass and volume remain the same despite the change in forms of objects. For example, children at this age are mentally capable of pouring a liquid in different types of containers. Piaget also believed that at this age a child is capable of understanding different mathematical transformations. At the age of 12, children reach the Formal Operation stage, the final stage in Piaget’s stages of Cognitive Development. This is the
Piaget theorised that children’s thinking goes through changes at each of four stages (sensory, motor, concrete operations and formal operations) of development until they can think and reason as an adult. The stages represent qualitatively different ways of thinking, are universal, and children go through each stage in the same order. According to Piaget each stage must be completed before they can move into the next one and involving increasing levels of organisation and increasingly logical underlying structures. Piaget stated that the ‘lower stages never disappear; they become inte... ...
“The influence of Piaget’s ideas in developmental psychology has been enormous. He changed how people viewed the child’s world and their methods of studying children. He was an inspiration to many who came after and took up his ideas. Piaget's ideas have generated a huge amount of research which has increased our understanding of cognitive development.” (McLeod 2009). Piaget purposed that we move through stages of cognitive development. He noticed that children showed different characteristics throughout their childhood development. The four stages of development are The Sensorimotor stage, The Preoperational Stage, The Concrete operational stage and The Formal operational stage.
Mathematics is everywhere we look, so many things we encounter in our everyday lives have some form of mathematics involved. Mathematics the language of understanding the natural world (Tony Chan, 2009) and is useful to understand the world around us. The Oxford Dictionary defines mathematics as ‘the science of space, number, quantity, and arrangement, whose methods, involve logical reasoning and use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis of mathematical operations or calculations (Soanes et al, Concise Oxford Dictionary,
Swiss psychologist Jean Piaget’s theory of cognitive development describes his belief that children try to actively make sense of the world rather than simply absorbing knowledge as previously thought. Piaget’s theory claims that as children grow and develop they experience four different cognitive stages of life. As a child grows through each stage they not only learn new information but the way he or she thinks also changes. “In other words, each new stage represents a fundamental shift in how the child thinks and understands the world” (Hockenbury, page 368).The first stage of Piaget’s theory, known as the sensorimotor stage, begins at birth and continues on until about age 2. As the name suggest, this stage is when children begin to discover
Children’s from this stage remain egocentric for the most part but to begin to internalize representations. (Piaget, 1999). Concrete operational stage is children to age seven to eleven. They develop the ability to categorize objects and how they relate to one another. A child’s become more mastered in math by adding and subtracting. If a child eat one brownie out of a jar containing six. By doing the math there would be 5 brownies left by counting the remaining brownies left in the jar because they are able to model the jar in their
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.
The Nature of Mathematics Mathematics relies on both logic and creativity, and it is pursued both for a variety of practical purposes and for its basic interest. The essence of mathematics lies in its beauty and its intellectual challenge. This essay is divided into three sections, which are patterns and relationships, mathematics, science and technology and mathematical inquiry. Firstly, Mathematics is the science of patterns and relationships. As a theoretical order, mathematics explores the possible relationships among abstractions without concern for whether those abstractions have counterparts in the real world.