Mathematics of the Human Eye :: Math Vision

The Human Eye: Just what exactly goes on in our eye to produce images? Why can't some people see as well as others? Well my friend, look no further... the answers to your 2 most burning questions are about to come! First of all, what happens when we see images? Our eye acts as a simple model of a lens system. The average adult eye is about 25 mm in diameter. As light enters our eye, it is refracted first through the cornea which does about 80% of the refracting. The crystalline lens which is located after the aqueous humour (just under the cornea) approximately contributes the rest. Muscles around the crystyalline lens will contract or expand to adjust to the light rays entering so as to focus them onto the retina, just located at the back of the eye (assuming paraxial light rays). This adjusting process is called accomodation. For people who have no vision problems, all the light rays are focussed onto the retina as it should. Let's call this distance, from where the light enters at the crystalline lens to the retina as f (focal point). For people who don't have 20/20 vision, the light rays entering do not land on the fovea (majority of light rays strike at on the focal plane). People who can see close up objects but not far-sighted images, they're near-sighted. Why can't they see clearly? Well, the light rays that enter their eye is refracted too much and the focal point is located before the retina. Whereas, people who cannot see far away but can see close up objects, are far-sighted. This usually occurs in older people because the crystalline lens grows "stiffer", thus impeding it's ability to accomdate so there is less refraction and the focal point is located behind the retina. To correct both these common vision problems, glasses and contacts redirect the rays so that they may land on the retina. Nearsighted people need a lens system that will diverge the rays so that as it enters the cornea, it will refract light rays onto the fovea. Farsighted people need a lens system that will converge the rays so that as it enters the cornea, it will refract light rays onto the fovea. Astigmatism is also another common vision problem in people these days. When the cornea is irregularly shaped, ie. its' surface is not uniform due to greater thicknesses in certain parts of the cornea, light rays from objects refract all at different rates. Mathematics of the Human Eye :: Math Vision The Human Eye: Just what exactly goes on in our eye to produce images? Why can't some people see as well as others? Well my friend, look no further... the answers to your 2 most burning questions are about to come! First of all, what happens when we see images? Our eye acts as a simple model of a lens system. The average adult eye is about 25 mm in diameter. As light enters our eye, it is refracted first through the cornea which does about 80% of the refracting. The crystalline lens which is located after the aqueous humour (just under the cornea) approximately contributes the rest. Muscles around the crystyalline lens will contract or expand to adjust to the light rays entering so as to focus them onto the retina, just located at the back of the eye (assuming paraxial light rays). This adjusting process is called accomodation. For people who have no vision problems, all the light rays are focussed onto the retina as it should. Let's call this distance, from where the light enters at the crystalline lens to the retina as f (focal point). For people who don't have 20/20 vision, the light rays entering do not land on the fovea (majority of light rays strike at on the focal plane). People who can see close up objects but not far-sighted images, they're near-sighted. Why can't they see clearly? Well, the light rays that enter their eye is refracted too much and the focal point is located before the retina. Whereas, people who cannot see far away but can see close up objects, are far-sighted. This usually occurs in older people because the crystalline lens grows "stiffer", thus impeding it's ability to accomdate so there is less refraction and the focal point is located behind the retina. To correct both these common vision problems, glasses and contacts redirect the rays so that they may land on the retina. Nearsighted people need a lens system that will diverge the rays so that as it enters the cornea, it will refract light rays onto the fovea. Farsighted people need a lens system that will converge the rays so that as it enters the cornea, it will refract light rays onto the fovea. Astigmatism is also another common vision problem in people these days. When the cornea is irregularly shaped, ie. its' surface is not uniform due to greater thicknesses in certain parts of the cornea, light rays from objects refract all at different rates.

Surah Khaf

surah khaf 18:1 to top Sahih International [All] praise is [due] to Allah , who has sent down upon His Servant the Book and has not made therein any deviance. 18:2 to top Sahih International [He has made it] straight, to warn of severe punishment from Him and to give good tidings to the believers who do righteous deeds that they will have a good reward 18:3 to top Sahih International In which they will remain forever 18:4 to top Sahih International And to warn those who say, † Allah has taken a son. 18:5 to top Sahih International They have no knowledge of it, nor had their fathers. Grave is the word that comes out of their mouths; they speak not except a lie. 18:6 to top Sahih International Then perhaps you would kill yourself through grief over them, [O Muhammad], if they do not believe in this message, [and] out of sorrow. 18:7 to top Sahih International Indeed, We have made that which is on the earth adornment for it that We may test them [as to] which of them is best in de ed. 8:8 to top Sahih International And indeed, We will make that which is upon it [into] a barren ground. 18:9 to top Sahih International Or have you thought that the companions of the cave and the inscription were, among Our signs, a wonder? 18:10 to top Sahih International [Mention] when the youths retreated to the cave and said, â€Å"Our Lord, grant us from Yourself mercy and prepare for us from our affair right guidance. â€Å"

Understanding And Understanding Of Physical, Social And...

Standard 1: Know students and how they learn As every individual is unique, getting to understand the students’ characteristics, knowledge and cultural background are essential requirements for encouraging their development and learning (Arthur, Beecher, Death, Dockett Farmer, 2012). In order to achieve the above requirements, a strong and positive relationship with students is the effective way for teachers to build up a holistic picture of a student (Groundwater-Smith, Ewing Le Cornu, 2015a; Nixon Gould, 2005). The various recorded interactions and observations between teachers and students made during the professional experience, have helped me to understand how students learn and have strengthened my ability to plan and implement lessons (Arthur et al., 2012). 1.1 Demonstrate knowledge and understanding of physical, social and intellectual development and characteristics of student There are many factors that influence students’ participation in learning. Some examples of these factors include the learning atmosphere of the school, teaching strategies and the student’s capabilities (Groundwater-Smith, et al., 2015b; Nixon Gould, 2005). In order for students to complete different tasks during lessons, it is important that teachers present clear and concise instructions. According to Porter (2014a), by providing clear instructions and high quality examples, teachers may help to increase a student’s academic performance. In addition, by removing classroomShow MoreRelatedEssay on Understanding Persons with Intellectual Disabilities1518 Words   |  7 Pages It is important to understand the terms that are associated with intellectual disabilities. The first term is disability. Disability is an individual performing which includes physical, sensory, cognitive, intellectual mental illness impairments, and various types of chronic diseases. The next term involves intelligence. This term is the ability to think logically, reason out problems, prepare, understand difficult ideas, examine intellectually, and the ability to determine quickly and or acquireRead MoreReflection: Kids Are Different Today1458 Words   |  6 Pagesretaining many of the characteristics ascribed to them generations ago by theorists such as Piaget, Erikson, and Kohlberg, are different† (Coyl, 2009, p.404). Diana D. Coyle discusses how physical development, media and technology, self-understanding, and emotional competence impact students and make them different from previous generations; even differentiating by just a few years. According to Coyl (2009), â€Å"Culture, personal experiences, and relationships affect children’s development as children’s developmentRead MoreProvides Us With A Way To Learn Cause And Effect Relations1488 Words   |  6 Pagesstages of development. With these basic elements of cognitive learning established Piaget then began to establish his four stages of cognitive development. The first being the sensory – motor stage. This stage is considered to extend from birth to approximately age two. During this stage senses, reflexes, and motor abilities develop rapidly. During the early stages, infants are only aware of what is immediately in front of them. They focus on what they see, what they are doing, and physical interactionsRead MoreNeeds of Diverse Students1384 Words   |  6 PagesEducating Special Needs Students Identifying and providing for special needs children is essential to special education. Once a child has been diagnosis with a disability or multiple disabilities, a plan of care is initiated according to the severity of their condition and their needs. This plan is individualized; one child’s diagnosis is not a reflection of the wide range conditions that affect many children. Intellectual disabilities can be mild to profound, can be caused by different factorsRead MoreIntro to Intellecutal Disability1110 Words   |  5 PagesIntroduction to Intellectual Disability (ID) Introduction to Intellectual Disability (ID) Kimberly Fox Grand Canyon University: SPE-351 May 23, 2013 Introduction to Intellectual Disability (ID) When learning about Intellectual Disability (ID) it is important to explore the subject with people that work with students of ID. The (SPED) special education team placed together for a student in order to determine the students individual education plan (IEP). This SPED team consist of: SpecialRead MoreReport Intellectual Child Development for Children Age 9 to 11 Early Adolescence1685 Words   |  7 PagesReport Intellectual Child development of Children age 9 to 11 Early adolescence or â€Å"Are you smarter than 10 years old?† [pic] Mariela Zlateva Contents 1 Introduction 2 Background 3 Intellectual characteristics of children age 9-11 4. Observation 5. Conclusion 6. References 7. Glossary Read MoreSupport Diversity Within The School1679 Words   |  7 Pagesan inclusive, supportive and engaging environment for all students, staff and caregivers. It strives to build a community that values, celebrates and responds to diversity (Brisbane Catholic Education, 2015). Catholic schools cater for students who have a diverse range of personal characteristics and experiences. These characteristics and experience include various physical, religious, cultural, personal health or wellbeing, intellectual, psychological, socio-economic or life experiences (QueenslandRead MoreMiddle School Are Essential For The Success Of Students971 Words   |  4 Pagesreason for this I believe is that for ALL students the middle school years are the most influential to shaping and becoming who a person is and who they wish to become. Middle schools are essential for the success of students because of the unique developmental stages of these students. For teachers, comprehension of young adolescent development is key to understanding the physical, emotional, intellectual, social and moral needs and interests of these students (Powell, 2015, p. 55) and also teachersRead MoreHuman Development : A Life Span View By Kail And Cavanaugh1744 Words   |  7 Pagesexplores two published articles that report on results from research conducted on social functioning of children with cerebral palsy, and a study of available techniques to improve cognitive function in cerebral palsy patients. This paper also refers to the published book, Human Development: A Life Span View by Kail and Cavanaugh (2016). This paper will examine the results of the differences in social and cognitive development of individuals with cerebral palsy and those without cerebral palsy. CunninghamRead More Special Education Essay1616 Words   |  7 PagesEducation Act (IDEA), schools are required to serve all students regardless of their disability in a least restrictive environment. Due to increas e in the number of students being identified and placed in general education classrooms, educators can expect to serve students with disabilities. It is important to understand the different types of disabilities, the characteristics of these disabilities, and causes; in order to ensure the success of students. This paper will define severe disabilities, mental

Understanding And Understanding Of Physical, Social And...

Standard 1: Know students and how they learn As every individual is unique, getting to understand the students’ characteristics, knowledge and cultural background are essential requirements for encouraging their development and learning (Arthur, Beecher, Death, Dockett Farmer, 2012). In order to achieve the above requirements, a strong and positive relationship with students is the effective way for teachers to build up a holistic picture of a student (Groundwater-Smith, Ewing Le Cornu, 2015a; Nixon Gould, 2005). The various recorded interactions and observations between teachers and students made during the professional experience, have helped me to understand how students learn and have strengthened my ability to plan and implement lessons (Arthur et al., 2012). 1.1 Demonstrate knowledge and understanding of physical, social and intellectual development and characteristics of student There are many factors that influence students’ participation in learning. Some examples of these factors include the learning atmosphere of the school, teaching strategies and the student’s capabilities (Groundwater-Smith, et al., 2015b; Nixon Gould, 2005). In order for students to complete different tasks during lessons, it is important that teachers present clear and concise instructions. According to Porter (2014a), by providing clear instructions and high quality examples, teachers may help to increase a student’s academic performance. In addition, by removing classroomShow MoreRelatedEssay on Understanding Persons with Intellectual Disabilities1518 Words   |  7 Pages It is important to understand the terms that are associated with intellectual disabilities. The first term is disability. Disability is an individual performing which includes physical, sensory, cognitive, intellectual mental illness impairments, and various types of chronic diseases. The next term involves intelligence. This term is the ability to think logically, reason out problems, prepare, understand difficult ideas, examine intellectually, and the ability to determine quickly and or acquireRead MoreReflection: Kids Are Different Today1458 Words   |  6 Pagesretaining many of the characteristics ascribed to them generations ago by theorists such as Piaget, Erikson, and Kohlberg, are different† (Coyl, 2009, p.404). Diana D. Coyle discusses how physical development, media and technology, self-understanding, and emotional competence impact students and make them different from previous generations; even differentiating by just a few years. According to Coyl (2009), â€Å"Culture, personal experiences, and relationships affect children’s development as children’s developmentRead MoreProvides Us With A Way To Learn Cause And Effect Relations1488 Words   |  6 Pagesstages of development. With these basic elements of cognitive learning established Piaget then began to establish his four stages of cognitive development. The first being the sensory – motor stage. This stage is considered to extend from birth to approximately age two. During this stage senses, reflexes, and motor abilities develop rapidly. During the early stages, infants are only aware of what is immediately in front of them. They focus on what they see, what they are doing, and physical interactionsRead MoreNeeds of Diverse Students1384 Words   |  6 PagesEducating Special Needs Students Identifying and providing for special needs children is essential to special education. Once a child has been diagnosis with a disability or multiple disabilities, a plan of care is initiated according to the severity of their condition and their needs. This plan is individualized; one child’s diagnosis is not a reflection of the wide range conditions that affect many children. Intellectual disabilities can be mild to profound, can be caused by different factorsRead MoreIntro to Intellecutal Disability1110 Words   |  5 PagesIntroduction to Intellectual Disability (ID) Introduction to Intellectual Disability (ID) Kimberly Fox Grand Canyon University: SPE-351 May 23, 2013 Introduction to Intellectual Disability (ID) When learning about Intellectual Disability (ID) it is important to explore the subject with people that work with students of ID. The (SPED) special education team placed together for a student in order to determine the students individual education plan (IEP). This SPED team consist of: SpecialRead MoreReport Intellectual Child Development for Children Age 9 to 11 Early Adolescence1685 Words   |  7 PagesReport Intellectual Child development of Children age 9 to 11 Early adolescence or â€Å"Are you smarter than 10 years old?† [pic] Mariela Zlateva Contents 1 Introduction 2 Background 3 Intellectual characteristics of children age 9-11 4. Observation 5. Conclusion 6. References 7. Glossary Read MoreSupport Diversity Within The School1679 Words   |  7 Pagesan inclusive, supportive and engaging environment for all students, staff and caregivers. It strives to build a community that values, celebrates and responds to diversity (Brisbane Catholic Education, 2015). Catholic schools cater for students who have a diverse range of personal characteristics and experiences. These characteristics and experience include various physical, religious, cultural, personal health or wellbeing, intellectual, psychological, socio-economic or life experiences (QueenslandRead MoreMiddle School Are Essential For The Success Of Students971 Words   |  4 Pagesreason for this I believe is that for ALL students the middle school years are the most influential to shaping and becoming who a person is and who they wish to become. Middle schools are essential for the success of students because of the unique developmental stages of these students. For teachers, comprehension of young adolescent development is key to understanding the physical, emotional, intellectual, social and moral needs and interests of these students (Powell, 2015, p. 55) and also teachersRead MoreHuman Development : A Life Span View By Kail And Cavanaugh1744 Words   |  7 Pagesexplores two published articles that report on results from research conducted on social functioning of children with cerebral palsy, and a study of available techniques to improve cognitive function in cerebral palsy patients. This paper also refers to the published book, Human Development: A Life Span View by Kail and Cavanaugh (2016). This paper will examine the results of the differences in social and cognitive development of individuals with cerebral palsy and those without cerebral palsy. CunninghamRead More Special Education Essay1616 Words   |  7 PagesEducation Act (IDEA), schools are required to serve all students regardless of their disability in a least restrictive environment. Due to increas e in the number of students being identified and placed in general education classrooms, educators can expect to serve students with disabilities. It is important to understand the different types of disabilities, the characteristics of these disabilities, and causes; in order to ensure the success of students. This paper will define severe disabilities, mental

Understanding And Understanding Of Physical, Social And...

Standard 1: Know students and how they learn As every individual is unique, getting to understand the students’ characteristics, knowledge and cultural background are essential requirements for encouraging their development and learning (Arthur, Beecher, Death, Dockett Farmer, 2012). In order to achieve the above requirements, a strong and positive relationship with students is the effective way for teachers to build up a holistic picture of a student (Groundwater-Smith, Ewing Le Cornu, 2015a; Nixon Gould, 2005). The various recorded interactions and observations between teachers and students made during the professional experience, have helped me to understand how students learn and have strengthened my ability to plan and implement lessons (Arthur et al., 2012). 1.1 Demonstrate knowledge and understanding of physical, social and intellectual development and characteristics of student There are many factors that influence students’ participation in learning. Some examples of these factors include the learning atmosphere of the school, teaching strategies and the student’s capabilities (Groundwater-Smith, et al., 2015b; Nixon Gould, 2005). In order for students to complete different tasks during lessons, it is important that teachers present clear and concise instructions. According to Porter (2014a), by providing clear instructions and high quality examples, teachers may help to increase a student’s academic performance. In addition, by removing classroomShow MoreRelatedEssay on Understanding Persons with Intellectual Disabilities1518 Words   |  7 Pages It is important to understand the terms that are associated with intellectual disabilities. The first term is disability. Disability is an individual performing which includes physical, sensory, cognitive, intellectual mental illness impairments, and various types of chronic diseases. The next term involves intelligence. This term is the ability to think logically, reason out problems, prepare, understand difficult ideas, examine intellectually, and the ability to determine quickly and or acquireRead MoreReflection: Kids Are Different Today1458 Words   |  6 Pagesretaining many of the characteristics ascribed to them generations ago by theorists such as Piaget, Erikson, and Kohlberg, are different† (Coyl, 2009, p.404). Diana D. Coyle discusses how physical development, media and technology, self-understanding, and emotional competence impact students and make them different from previous generations; even differentiating by just a few years. According to Coyl (2009), â€Å"Culture, personal experiences, and relationships affect children’s development as children’s developmentRead MoreProvides Us With A Way To Learn Cause And Effect Relations1488 Words   |  6 Pagesstages of development. With these basic elements of cognitive learning established Piaget then began to establish his four stages of cognitive development. The first being the sensory – motor stage. This stage is considered to extend from birth to approximately age two. During this stage senses, reflexes, and motor abilities develop rapidly. During the early stages, infants are only aware of what is immediately in front of them. They focus on what they see, what they are doing, and physical interactionsRead MoreNeeds of Diverse Students1384 Words   |  6 PagesEducating Special Needs Students Identifying and providing for special needs children is essential to special education. Once a child has been diagnosis with a disability or multiple disabilities, a plan of care is initiated according to the severity of their condition and their needs. This plan is individualized; one child’s diagnosis is not a reflection of the wide range conditions that affect many children. Intellectual disabilities can be mild to profound, can be caused by different factorsRead MoreIntro to Intellecutal Disability1110 Words   |  5 PagesIntroduction to Intellectual Disability (ID) Introduction to Intellectual Disability (ID) Kimberly Fox Grand Canyon University: SPE-351 May 23, 2013 Introduction to Intellectual Disability (ID) When learning about Intellectual Disability (ID) it is important to explore the subject with people that work with students of ID. The (SPED) special education team placed together for a student in order to determine the students individual education plan (IEP). This SPED team consist of: SpecialRead MoreReport Intellectual Child Development for Children Age 9 to 11 Early Adolescence1685 Words   |  7 PagesReport Intellectual Child development of Children age 9 to 11 Early adolescence or â€Å"Are you smarter than 10 years old?† [pic] Mariela Zlateva Contents 1 Introduction 2 Background 3 Intellectual characteristics of children age 9-11 4. Observation 5. Conclusion 6. References 7. Glossary Read MoreSupport Diversity Within The School1679 Words   |  7 Pagesan inclusive, supportive and engaging environment for all students, staff and caregivers. It strives to build a community that values, celebrates and responds to diversity (Brisbane Catholic Education, 2015). Catholic schools cater for students who have a diverse range of personal characteristics and experiences. These characteristics and experience include various physical, religious, cultural, personal health or wellbeing, intellectual, psychological, socio-economic or life experiences (QueenslandRead MoreMiddle School Are Essential For The Success Of Students971 Words   |  4 Pagesreason for this I believe is that for ALL students the middle school years are the most influential to shaping and becoming who a person is and who they wish to become. Middle schools are essential for the success of students because of the unique developmental stages of these students. For teachers, comprehension of young adolescent development is key to understanding the physical, emotional, intellectual, social and moral needs and interests of these students (Powell, 2015, p. 55) and also teachersRead MoreHuman Development : A Life Span View By Kail And Cavanaugh1744 Words   |  7 Pagesexplores two published articles that report on results from research conducted on social functioning of children with cerebral palsy, and a study of available techniques to improve cognitive function in cerebral palsy patients. This paper also refers to the published book, Human Development: A Life Span View by Kail and Cavanaugh (2016). This paper will examine the results of the differences in social and cognitive development of individuals with cerebral palsy and those without cerebral palsy. CunninghamRead More Special Education Essay1616 Words   |  7 PagesEducation Act (IDEA), schools are required to serve all students regardless of their disability in a least restrictive environment. Due to increas e in the number of students being identified and placed in general education classrooms, educators can expect to serve students with disabilities. It is important to understand the different types of disabilities, the characteristics of these disabilities, and causes; in order to ensure the success of students. This paper will define severe disabilities, mental