Misplaced Pages

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127-485: The majority of East German parents (85%) worked outside of the home which resulted in a significant need for childcare services throughout the country. Children up to the age of three attended state run crèches ( Kinderkrippen ) which were often situated next to kindergarten buildings. Throughout the history of East Germany, young women would serve or volunteer in crèches in order to have more of an influence in raising their children. Many crèches and polytechnic schools had

254-520: A geodesic is a generalization of the notion of a line to curved spaces . In Euclidean geometry a plane is a flat, two-dimensional surface that extends infinitely; the definitions for other types of geometries are generalizations of that. Planes are used in many areas of geometry. For instance, planes can be studied as a topological surface without reference to distances or angles; it can be studied as an affine space , where collinearity and ratios can be studied but not distances; it can be studied as

381-418: A parabola with the summation of an infinite series , and gave remarkably accurate approximations of pi . He also studied the spiral bearing his name and obtained formulas for the volumes of surfaces of revolution . Indian mathematicians also made many important contributions in geometry. The Shatapatha Brahmana (3rd century BC) contains rules for ritual geometric constructions that are similar to

508-425: A vector space and its dual space . Euclidean geometry is geometry in its classical sense. As it models the space of the physical world, it is used in many scientific areas, such as mechanics , astronomy , crystallography , and many technical fields, such as engineering , architecture , geodesy , aerodynamics , and navigation . The mandatory educational curriculum of the majority of nations includes

635-465: A Certificate III in Children's Services or be actively working towards the same. Additionally, a current police check, current first aid training and insurance (specifically for family day care) are necessary for starting a family day care. The house should be safe for children. A group of 15 educators works under one Supervisor who must have a Diploma in Children's Services. In Australia, Nannies are also

762-505: A Social Program named "Programa de Estancias Infantiles" that included more than 8,000 daycare spaces for children between 1 and 3.11 years old. This program subsidizes mothers that work and study and also single fathers in a vulnerable situation. It has a great success having more than 125,000 children over the country. This is regulated by the Social Development Minister (Secretaría de Desarrollo Social). Childcare has been on

889-507: A combination of state and private nurseries. The Spanish government does subsidize child care, and state led childcare services require proof of low income. In England, childcare is inspected and regulated by His Majesty's Inspectors ( Office for Standards in Education ). Care for children under five is split into childcare on domestic premises (childminding and daycare). In the UK being a 'Childminder'

1016-405: A common endpoint, called the vertex of the angle. The size of an angle is formalized as an angular measure . In Euclidean geometry , angles are used to study polygons and triangles , as well as forming an object of study in their own right. The study of the angles of a triangle or of angles in a unit circle forms the basis of trigonometry . In differential geometry and calculus ,

1143-523: A decimal place value system with a dot for zero." Aryabhata 's Aryabhatiya (499) includes the computation of areas and volumes. Brahmagupta wrote his astronomical work Brāhmasphuṭasiddhānta in 628. Chapter 12, containing 66 Sanskrit verses, was divided into two sections: "basic operations" (including cube roots, fractions, ratio and proportion, and barter) and "practical mathematics" (including mixture, mathematical series, plane figures, stacking bricks, sawing of timber, and piling of grain). In

1270-794: A large out of pocket expense. The median weekly cost of center-based long day care in 2013 was approximately A$ 364 which puts it out of the reach of lower income earners. Regulation is governed by the Australian Children's Education & Care Quality Authority (ACECQA), a federal government body, which acts as a central body for the state bodies. As of 2021, minimum supervision ratios of educators to children were 1:4 for infants, 1:5 for 2–3 years old (except for VIC – 1:4), 1:10 for preschoolers in NSW, TAS and WA, and 1:11 for preschoolers in ACT, NT, QLD, SA and VIC. All childcare workers must have, or be undertaking,

1397-416: A level of sufficient fluency to have a small conversation with a local. There were only few opportunities for student exchanges. Appreciated by parents were the so-called head marks ( Kopfnoten ) which assessed behavior, industriousness, order, and cooperation. These were combined with a short teacher's essay about the student's character, success or progress, advice for future improvements - here and there from

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1524-517: A model that other countries should follow in order to increase educational attainment and equality. Danish policies that support families also include parental leave programs. Childcare systems in France put great value into childcare providers having received a certain level of formal education in order to properly care for children. They have two separate branches of early childhood childcare. These two branches are called crèche and école maternelle. Crèche

1651-528: A more focused training aside from the common core skills typical of a child caregiver. As well as these licensed options, parents may also choose to find their own caregiver or arrange childcare exchanges/swaps with another family. Access to and quality of childcare have a variety of implications for children, parents and guardians, and families. Child care can have long-term impacts on educational attainment for children. Parents, particularly women and mothers, see increased labor force attachment when child care

1778-440: A more rigorous foundation for geometry, treated congruence as an undefined term whose properties are defined by axioms . Congruence and similarity are generalized in transformation geometry , which studies the properties of geometric objects that are preserved by different kinds of transformations. Classical geometers paid special attention to constructing geometric objects that had been described in some other way. Classically,

1905-438: A multi-level solution, a fully developed embedded course in geometry , the introduction to vectors, the handling and solving of simple equations etc. were taught from the beginning of the first grade. But nevertheless other subjects like arts , music and so forth were not neglected but emphasised to be important for an all-around, gapless general education . One lesson would last 45 minutes and students went to school six days

2032-428: A multitude of forms, including the graphics of Leonardo da Vinci , M. C. Escher , and others. In the second half of the 19th century, the relationship between symmetry and geometry came under intense scrutiny. Felix Klein 's Erlangen program proclaimed that, in a very precise sense, symmetry, expressed via the notion of a transformation group , determines what geometry is . Symmetry in classical Euclidean geometry

2159-562: A municipality and mostly government funded. The different types of institutions ranges from separate day-care institutions ( Vuggestue ), kindergartens with a daycare department ( Integrerede institutioner ) and in-home day-care ( Dagpleje ). The daycares are play-based focusing on the children's perspective and involvement in day-to-day life. The day-cares are staffed by trained social educators or pedagogues ( pædagog ). The Danish government claims that most families in Denmark take advantage of

2286-451: A number of apparently different definitions, which are all equivalent in the most common cases. The theme of symmetry in geometry is nearly as old as the science of geometry itself. Symmetric shapes such as the circle , regular polygons and platonic solids held deep significance for many ancient philosophers and were investigated in detail before the time of Euclid. Symmetric patterns occur in nature and were artistically rendered in

2413-520: A number of specialists on site, such as their own doctors and dentists. A considerable number of crèches were built and developed during the post- Second World War construction period. The crèches were often situated within walking distance of residential blocks or on site at factories and collective farms . Crèches were able to support approximately 80% of young East German children with rates as high as 99% in several urban centres. It cost 27.50 East German marks per child per month for full day care at

2540-444: A physical system, which has a dimension equal to the system's degrees of freedom . For instance, the configuration of a screw can be described by five coordinates. In general topology , the concept of dimension has been extended from natural numbers , to infinite dimension ( Hilbert spaces , for example) and positive real numbers (in fractal geometry ). In algebraic geometry , the dimension of an algebraic variety has received

2667-534: A place in a Kita run by the catholic church. Preschool education, unlike school and university, is not in the exclusive domain of the states. The federal government regulates daycare through the Kinder- und Jugendhilfegesetz (KJHG) , which stipulates a legal claim to daycare: Alternative daycare can be provided through Tagespflegepersonen (usually Tagesmütter , "day mothers"), i.e., stay-at-home parents who provide commercial daycare to other children. This form of daycare

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2794-518: A plane or 3-dimensional space. Mathematicians have found many explicit formulas for area and formulas for volume of various geometric objects. In calculus , area and volume can be defined in terms of integrals , such as the Riemann integral or the Lebesgue integral . Other geometrical measures include the curvature and compactness . The concept of length or distance can be generalized, leading to

2921-697: A prominent welfare system that offers family benefits and policies. Norway's child care services include a Maternity Package that provides new mothers with products for their new child. Additionally, parents in Norway receive an allowance that can be used on child care. Norway also caps fees for child care in kindergarten at NOK 2,500. Spain provides paid maternity leave of 16 weeks to mothers and 5 weeks of paternity leave to fathers. In Spain, beyond maternity leave provisions of four months, families frequently choose to enroll their children in pre-school programs, including about 95–97% of three to four year olds that attend

3048-598: A purely algebraic context. Scheme theory allowed to solve many difficult problems not only in geometry, but also in number theory . Wiles' proof of Fermat's Last Theorem is a famous example of a long-standing problem of number theory whose solution uses scheme theory and its extensions such as stack theory . One of seven Millennium Prize problems , the Hodge conjecture , is a question in algebraic geometry. Algebraic geometry has applications in many areas, including cryptography and string theory . Complex geometry studies

3175-421: A requirement. Child care can consist of advanced learning environments that include early childhood education or elementary education . The objective of the program of daily activities at a child care facility should be to foster age appropriate learning and social development. In many cases the appropriate child care provider is a teacher or person with educational background in child development, which requires

3302-552: A significant amount of time caring for their child(ren), childcare typically refers to the care provided by caregivers who are not the child's parents. Childcare is a broad topic that covers a wide spectrum of professionals, institutions, contexts, activities, and social and cultural conventions. Early childcare is an important and often overlooked component of child development . A variety of people and organizations are able to care for children. The child's extended family may also take on this caregiving role. Another form of childcare

3429-451: A single point of access by visiting their local municipal government, which handles all the payments and manages the master waiting list for the neighbourhood. The waiting list is not on a first-come, first-served basis but rather a priority list based on the points system. A child from single-parent families, parents with illness or disabilities, and low-income households is typically prioritized over children from other households. Because of

3556-427: A size or measure to sets , where the measures follow rules similar to those of classical area and volume. Congruence and similarity are concepts that describe when two shapes have similar characteristics. In Euclidean geometry, similarity is used to describe objects that have the same shape, while congruence is used to describe objects that are the same in both size and shape. Hilbert , in his work on creating

3683-516: A socialistic point of view. From the seventh year onwards, students visited a factory, power station or farm one day per week for 4 hours, depending on their location. At some of these places, the student would work alongside regular employees. There were annual championships on various subjects with the winners receiving prizes. The Russian language and mathematics championships were seen and promoted as very prestigious and competitive as well as regular championships in sport, called Spartakiade (from

3810-407: A stable daily routine and were introduced to the idea of learning . The children stayed together in the same group with the same group educator during the three years. The groups were called the little group ( kleine Gruppe ) for the young children of the age of three, the middle group ( mittlere Gruppe ) for the children of the age of four and the big group ( große Gruppe ) for the older children of

3937-600: A technical sense a type of transformation geometry , in which transformations are homeomorphisms . This has often been expressed in the form of the saying 'topology is rubber-sheet geometry'. Subfields of topology include geometric topology , differential topology , algebraic topology and general topology . Algebraic geometry is fundamentally the study by means of algebraic methods of some geometrical shapes, called algebraic sets , and defined as common zeros of multivariate polynomials . Algebraic geometry became an autonomous subfield of geometry c.  1900 , with

Education in East Germany - Misplaced Pages Continue

4064-518: A theorem called Hilbert's Nullstellensatz that establishes a strong correspondence between algebraic sets and ideals of polynomial rings . This led to a parallel development of algebraic geometry, and its algebraic counterpart, called commutative algebra . From the late 1950s through the mid-1970s algebraic geometry had undergone major foundational development, with the introduction by Alexander Grothendieck of scheme theory , which allows using topological methods , including cohomology theories in

4191-494: A theory of ratios that avoided the problem of incommensurable magnitudes , which enabled subsequent geometers to make significant advances. Around 300 BC, geometry was revolutionized by Euclid, whose Elements , widely considered the most successful and influential textbook of all time, introduced mathematical rigor through the axiomatic method and is the earliest example of the format still used in mathematics today, that of definition, axiom, theorem, and proof. Although most of

4318-754: A viable childcare option for many families, although they do not currently reap the benefits of the Government Child Care Subsidy. Nannies often offer many styles of services, including casual and permanent nannies, as well as au pairs and overnight nannies. Canada offers both private and subsidized daycare centers. Some shortages of subsidized openings can lengthen the time needed to find a suitable childcare provider. To counter this, government or private enterprises sometimes enable parents to look for available spaces online. A 2008 article in The Star said that not-for-profits are much more likely to produce

4445-448: A week. On Saturdays , there were approximately four or five lessons. The Ministry of Education determined a table of lessons ( Stundentafel ) which expressed the ideas of the curriculum by naming the subjects that were believed to be crucial for a modern general education together with the number of weekly lessons for every single subject. The table of lessons fragmented in two parts, the compulsory teaching ( obligatorischer Unterricht ) and

4572-538: A wide range of childcare options, including childminders , day nurseries, playgroups and pre-school education at school. Childcare in both the state and public sector is regulated and registered by the Office for Standards in Education in England and Care Inspectorate Wales for Wales, which operate the application and inspection process for the sector. Every child in England at the first school term after their third birthday

4699-411: Is diffeomorphic to Euclidean space. Manifolds are used extensively in physics, including in general relativity and string theory . Euclid defines a plane angle as the inclination to each other, in a plane, of two lines which meet each other, and do not lie straight with respect to each other. In modern terms, an angle is the figure formed by two rays , called the sides of the angle, sharing

4826-540: Is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic , one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer . Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry , which includes the notions of point , line , plane , distance , angle , surface , and curve , as fundamental concepts. Originally developed to model

4953-400: Is a part of some ambient flat Euclidean space). Topology is the field concerned with the properties of continuous mappings , and can be considered a generalization of Euclidean geometry. In practice, topology often means dealing with large-scale properties of spaces, such as connectedness and compactness . The field of topology, which saw massive development in the 20th century, is in

5080-743: Is a protected title and can only be used by registered professionals. Registered childminders are trained, insured and qualified in Pediatric First Aid. They comply and work with the Early Years Foundation Stage statutory framework provided by the Department for Education . All pupils in the Early Years must follow a programme of education in seven areas, divided into 'prime areas' and 'specific areas'. The three prime areas: The four specific areas: The Early Years Foundation Stage sets

5207-413: Is a three-dimensional object bounded by a closed surface; for example, a ball is the volume bounded by a sphere. A manifold is a generalization of the concepts of curve and surface. In topology , a manifold is a topological space where every point has a neighborhood that is homeomorphic to Euclidean space. In differential geometry , a differentiable manifold is a space where each neighborhood

Education in East Germany - Misplaced Pages Continue

5334-630: Is also federally regulated through the KJHG. Preschool education ( Frühpädagogik ) is increasingly seen as an integral part of education as a whole; several states, such as Bavaria have released detailed educational plans for daycare carriers who claim state subsidies. "Early pedagogics" has increasingly moved into the academic domain, with an increasing number of staff being trained at universities of applied science ( Fachhochschulen ) and regular universities. Non-academic personnel in daycare facilities have usually attended specialized schools for several years. In

5461-545: Is common. For example, very young children in Zaire regularly use machetes safely and skillfully while American middle-class adults do not trust their young children with knives. Child development is not just biological or psychological—it is also a cultural process and it is not universal. In countries where children are given more responsibility the adults serve as "occasional supervisors," and children take pride in their responsibilities. Therefore, an important aspect of childcare

5588-564: Is considering the cultural differences and accepted behaviors in differing households. Children should be able to retain their cultural tradition and norms, while also being exposed to other cultures. Australia has a large childcare industry, but in many locations (especially in inner-city suburbs of large cities and in rural areas), the availability is limited and the waiting periods can be up to several years. The Australian Government 's Child Care Subsidy scheme provides assistance with child care costs, but this still leaves many families with

5715-409: Is defined. The earliest recorded beginnings of geometry can be traced to ancient Mesopotamia and Egypt in the 2nd millennium BC. Early geometry was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying , construction , astronomy , and various crafts. The earliest known texts on geometry are

5842-452: Is either 44 weeks with full pay, or 54 weeks with 80% pay (both up to a certain level only). The government guarantees daycare for all children that are at least 1 year old by 1 August. Coverage is still not 100%, but most regions are getting close (2011). There's a maximum price to enable all families to afford it. The World Economic Forum lauds Norway as one of the best countries to raise a child. Like other Scandinavian countries, Norway has

5969-656: Is entitled to 15 hours per week free childcare funding. Childcare is primarily funded by parents after this age, however, the Single Funding Formula (pre-school funding) can be used at some day nurseries, playgroups and schools for a maximum of 5 sessions per week, after a child reaches 3 years. The government introduced childcare vouchers for businesses. Geometry Geometry (from Ancient Greek γεωμετρία ( geōmetría )  'land measurement'; from γῆ ( gê )  'earth, land' and μέτρον ( métron )  'a measure')

6096-455: Is more accessible and affordable. In particular, increased affordable child care opportunities have economic benefits for immigrant communities and communities of color. Childcare varies dramatically across cultures. While many global communities prefer children aged 7–10 for designated caregiving responsibilities, children no younger than 12 are preferred in the Western world, where paid childcare

6223-437: Is not viewed as the set of the points through which it passes. However, there are modern geometries in which points are not primitive objects, or even without points. One of the oldest such geometries is Whitehead's point-free geometry , formulated by Alfred North Whitehead in 1919–1920. Euclid described a line as "breadthless length" which "lies equally with respect to the points on itself". In modern mathematics, given

6350-415: Is of importance to mathematical physics due to Albert Einstein 's general relativity postulation that the universe is curved . Differential geometry can either be intrinsic (meaning that the spaces it considers are smooth manifolds whose geometric structure is governed by a Riemannian metric , which determines how distances are measured near each point) or extrinsic (where the object under study

6477-482: Is represented by congruences and rigid motions, whereas in projective geometry an analogous role is played by collineations , geometric transformations that take straight lines into straight lines. However it was in the new geometries of Bolyai and Lobachevsky, Riemann, Clifford and Klein, and Sophus Lie that Klein's idea to 'define a geometry via its symmetry group ' found its inspiration. Both discrete and continuous symmetries play prominent roles in geometry,

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6604-625: Is that of center-based childcare. In lieu of familial caregiving, these responsibilities may be given to paid caretakers, orphanages or foster homes to provide care, housing, and schooling. Professional caregivers work within the context of center-based care (including crèches, daycare, preschools and schools) or a home-based care ( nannies or family daycare). The majority of child care institutions available require child care providers to have extensive training in first aid and be CPR certified. In addition, background checks , drug testing at all centers, and reference verifications are normally

6731-633: Is the domain of the Kindertagesstätte (literally "children's day site", often shortened to Kita or KITA ), which is usually divided into the Kinderkrippe (crèche) for toddlers (age up to three years) and the Kindergarten for children who are older than three years and before school. Children in their last Kindergarten year may be grouped into a Vorschule ("preschool") and given special pedagogic attention; special preschool institutions comparable to

6858-579: Is the program for infants and toddlers and école maternelle is part of the education system. They both require teachers to have a college degree with an occasional specialized degree on top of that. France also couples public child care services with private and family child care services. These services are part of the 3.6% of the French GDP spent on family policies. Services in France are offered to people with full-time French residence and people whose children are vaccinated. In Germany , preschool education

6985-455: Is up to 500 kilo calories with up to 25 grams of protein every day. The services of Immunisation, Health Check-up and Referral Services are delivered through Public Health Infrastructure under the Ministry of Health and Family Welfare . During the 2018–19 fiscal year , free childcare cost the state ₹ 28,335 crore (US$ 3.4 billion). Additionally, private childcare services also exist in

7112-726: The Sulba Sutras . According to ( Hayashi 2005 , p. 363), the Śulba Sūtras contain "the earliest extant verbal expression of the Pythagorean Theorem in the world, although it had already been known to the Old Babylonians. They contain lists of Pythagorean triples , which are particular cases of Diophantine equations . In the Bakhshali manuscript , there are a handful of geometric problems (including problems about volumes of irregular solids). The Bakhshali manuscript also "employs

7239-667: The Egyptian Rhind Papyrus (2000–1800 BC) and Moscow Papyrus ( c.  1890 BC ), and the Babylonian clay tablets , such as Plimpton 322 (1900 BC). For example, the Moscow Papyrus gives a formula for calculating the volume of a truncated pyramid, or frustum . Later clay tablets (350–50 BC) demonstrate that Babylonian astronomers implemented trapezoid procedures for computing Jupiter's position and motion within time-velocity space. These geometric procedures anticipated

7366-518: The Lambert quadrilateral and Saccheri quadrilateral , were part of a line of research on the parallel postulate continued by later European geometers, including Vitello ( c.  1230  – c.  1314 ), Gersonides (1288–1344), Alfonso, John Wallis , and Giovanni Girolamo Saccheri , that by the 19th century led to the discovery of hyperbolic geometry . In the early 17th century, there were two important developments in geometry. The first

7493-506: The Oxford Calculators , including the mean speed theorem , by 14 centuries. South of Egypt the ancient Nubians established a system of geometry including early versions of sun clocks. In the 7th century BC, the Greek mathematician Thales of Miletus used geometry to solve problems such as calculating the height of pyramids and the distance of ships from the shore. He is credited with

7620-509: The Riemann surface , and Henri Poincaré , the founder of algebraic topology and the geometric theory of dynamical systems . As a consequence of these major changes in the conception of geometry, the concept of " space " became something rich and varied, and the natural background for theories as different as complex analysis and classical mechanics . The following are some of the most important concepts in geometry. Euclid took an abstract approach to geometry in his Elements , one of

7747-399: The complex plane using techniques of complex analysis ; and so on. A curve is a 1-dimensional object that may be straight (like a line) or not; curves in 2-dimensional space are called plane curves and those in 3-dimensional space are called space curves . In topology, a curve is defined by a function from an interval of the real numbers to another space. In differential geometry,

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7874-493: The socialist life (visiting factories, traffic education, cultural life, introduction to professions deemed important), introduction to natural and scientific phenomena (weather, seasons, sky, stars, rocks etc.), music, sports, artistic and constructive handicrafts and esteeming pieces of art. There was no teaching of reading , writing or arithmetic , but the fundamental concepts were taught to develop intellectual and motor skills. For instance, introduction to set theory within

8001-621: The 19th century changed the way it had been studied previously. These were the discovery of non-Euclidean geometries by Nikolai Ivanovich Lobachevsky, János Bolyai and Carl Friedrich Gauss and of the formulation of symmetry as the central consideration in the Erlangen programme of Felix Klein (which generalized the Euclidean and non-Euclidean geometries). Two of the master geometers of the time were Bernhard Riemann (1826–1866), working primarily with tools from mathematical analysis , and introducing

8128-491: The 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss 's Theorema Egregium ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space . This implies that surfaces can be studied intrinsically , that is, as stand-alone spaces, and has been expanded into

8255-474: The 19th century, the discovery of non-Euclidean geometries by Nikolai Ivanovich Lobachevsky (1792–1856), János Bolyai (1802–1860), Carl Friedrich Gauss (1777–1855) and others led to a revival of interest in this discipline, and in the 20th century, David Hilbert (1862–1943) employed axiomatic reasoning in an attempt to provide a modern foundation of geometry. Points are generally considered fundamental objects for building geometry. They may be defined by

8382-558: The Ministry of Social Development created a childcare program in which was focuses on helping out children and mothers who were not covered by the social security services. This was successful since it targeted low income families specifically. For families to be eligible for this service the mothers had to be working or searching for a job, the income was taken into consideration in comparison to that of minimum wage, and that they did not have any other access to services. Women's participation in

8509-717: The Soviet Union in the Eastern bloc. It was also available in English and French, but only as additional elective foreign languages (Universities required two foreign languages). The Russian lessons focused on the Cyrillic script, the writing, the reading and the grammar of the Russian language. To be able to have a substantial conversation was not an aim, but to be able to use professional and technical Russian literature. The speaking skills should reach

8636-464: The US-American kindergarten are the exception. Kitas are typically run by public (i.e., communal) and "free" carriers (such as the churches, other religious organizations, social organizations with a background in the trade unions, and profit-orientated corporations), and subsidized by the states ( Länder ). In this case, the care is open to the general public—e.g., a Protestant or Muslim child may claim

8763-882: The VHS, access to the ABF was restricted to workers and farmers with at least five years of working experience. This was usually organized by the HR department of the company where they worked. National service was 18 months for males between the age of 18 and 26. Often prospective students were intimidated into serving three years as NCO in order to begin university early. For popular subjects, such as information technology, or prestigious subjects, such as law or medicine , there were more applicants to university than places. Several criteria were taken into account: school exams, national service time, patriotism, ideology , religious affiliation (better to be atheist than religious), communist party membership, etc. In

8890-427: The actual numbers as those parents who can afford may choose unlicensed childcare or baby sitters due to a lack of space in the licensed childcare system. Although unlicensed childcare and babysitters are also eligible for government subsidies, a parent must apply with local municipal government for funding and the maximum funding is capped at 37,000 yen per month. In Mexico , President Felipe Calderón Hinojosa created

9017-571: The age of 2. The second child who needs care receives a 50% discount, and the third child or low-income households do not pay any fees. Licensed childcare for ages 3 to 5 is free for a single parent or when both parents are working. The national government only covers the cost of the core childcare program and does not cover the cost of transportation, special activities, meals or snacks, although meals and snacks are partially covered for low-income households. Parents apply to licensed childcare in Japan through

9144-483: The age of five. Two times a day there were lesson-like pre-school activities ( Beschäftigungen ) which all children had to participate in. These activities were planned by the group educator and lasted 20 minutes in the little group, 25 minutes in the middle group and 30 minutes in the big group. The contents of the activities were regulated nationwide by a uniform teaching plan and included German language and speech, children's literature , mathematics , introduction to

9271-584: The angles between plane curves or space curves or surfaces can be calculated using the derivative . Length , area , and volume describe the size or extent of an object in one dimension, two dimension, and three dimensions respectively. In Euclidean geometry and analytic geometry , the length of a line segment can often be calculated by the Pythagorean theorem . Area and volume can be defined as fundamental quantities separate from length, or they can be described and calculated in terms of lengths in

9398-484: The applicants (1,702 children), while Tokyo had the largest number of children on the waitlist at 3,690 children (1.19% of applicants). On a nationwide scale, the average percentage of children placed on the waitlist was 0.6% and there was an excess supply of licensed childcare, with 2,679,651 children filling 2,888,159 spots available throughout Japan. Of all children on the waitlist, 63% of applicants resided in larger cities. The number of taiki jidō may not represent

9525-427: The compulsory lessons took place in the morning and the timetable for each class was organised in a way that there should not be any free periods while classes should end at the same time every day. Therefore, by allocating sufficient resources to the education system, East Germany employed a high number of teachers and educators, so the average number of students per class lessened from 26 in the fifties to 19 and less in

9652-412: The concept of angle and distance, finite geometry that omits continuity , and others. This enlargement of the scope of geometry led to a change of meaning of the word "space", which originally referred to the three-dimensional space of the physical world and its model provided by Euclidean geometry; presently a geometric space , or simply a space is a mathematical structure on which some geometry

9779-504: The contents of the Elements were already known, Euclid arranged them into a single, coherent logical framework. The Elements was known to all educated people in the West until the middle of the 20th century and its contents are still taught in geometry classes today. Archimedes ( c.  287–212 BC ) of Syracuse, Italy used the method of exhaustion to calculate the area under the arc of

9906-703: The country for wealthier families. In 2008, the GOI adopted the World Health Organization standards for measuring and monitoring child growth and development, both for the ICDS and the National Rural Health Mission (NRHM). Since 1997, WHO has conducted an extensive study of six developing nations to develop these standards. They are known as the New WHO Child Growth Standard and measure

10033-428: The crèches. Most crèches were open from 6 am to 6 pm. Unlike West Germany , East Germany accomplished large-scale education reform and introduced a dense network of high-standard education facilities, especially kindergartens. A unique characteristic of East German kindergartens was the strong educational background of these institutions. Children from age three to six learned to interact with other children, got used to

10160-451: The elective teaching ( fakultativer Unterricht ). Later a third component was introduced, the optionally compulsory teaching ( wahlweise obligatorischer Unterricht ). Together, with the introduction of the POS grading at schools was reorganized as well. School started early, usually between 7 am or 8 am. The POS was designed as a reliable all-day school ( verläßliche Tagesschule ), which means

10287-492: The fairly large number of women working in the informal sector and being denied these services. The second stage would be in the early 2000s when the Ministry of Public Education made preschool mandatory for all children from ages 3 to 5. This was useful in theory because all of the children in this age range would be cared for, but in reality caused a strain in the amount of time that the parents had to go and work or dedicate their time elsewhere. The last stage would be in 2007 when

10414-428: The field has been split in many subfields that depend on the underlying methods— differential geometry , algebraic geometry , computational geometry , algebraic topology , discrete geometry (also known as combinatorial geometry ), etc.—or on the properties of Euclidean spaces that are disregarded— projective geometry that consider only alignment of points but not distance and parallelism, affine geometry that omits

10541-512: The first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem . Pythagoras established the Pythagorean School , which is credited with the first proof of the Pythagorean theorem , though the statement of the theorem has a long history. Eudoxus (408– c.  355 BC ) developed the method of exhaustion , which allowed the calculation of areas and volumes of curvilinear figures, as well as

10668-523: The former in topology and geometric group theory , the latter in Lie theory and Riemannian geometry . A different type of symmetry is the principle of duality in projective geometry , among other fields. This meta-phenomenon can roughly be described as follows: in any theorem , exchange point with plane , join with meet , lies in with contains , and the result is an equally true theorem. A similar and closely related form of duality exists between

10795-544: The full-day care in kindergartens and there were enough places for 94% to 99% of East German children. The polytechnic secondary school , abbreviation POS for "Polytechnische Oberschule", was developed from 1957 to 1958 and established in 1959. The POS focused strongly on German language , mathematics , physics , chemistry , biology , astronomy , physical geography, sports , history , political education and of course, technology -related theoretical and practical work, including gardening , woodwork, metal work. Religion

10922-470: The guaranteed access to center-based child care in the county. These institutions for child care in Denmark include those run by municipalities and some private facilities. Some facilities are not centered in a child care facility but in the home of a woman who is not a professional child care administrator. Certain scholars and individuals accredit the near universal participation in the Danish child care system as

11049-495: The high quality environments in which children thrive." Local governments, often municipalities, may operate non-profit day care centers. For all providers, the largest expense is labor. Local legislation may regulate the operation of daycare centers, affecting staffing requirements. In Canada, the workforce is predominantly female (95%) and low paid, averaging only 60% of average workforce wage. Some jurisdictions require licensing or certification. Legislation may specify details of

11176-588: The idea of metrics . For instance, the Euclidean metric measures the distance between points in the Euclidean plane , while the hyperbolic metric measures the distance in the hyperbolic plane . Other important examples of metrics include the Lorentz metric of special relativity and the semi- Riemannian metrics of general relativity . In a different direction, the concepts of length, area and volume are extended by measure theory , which studies methods of assigning

11303-533: The idea of reducing geometrical problems such as duplicating the cube to problems in algebra. Thābit ibn Qurra (known as Thebit in Latin ) (836–901) dealt with arithmetic operations applied to ratios of geometrical quantities, and contributed to the development of analytic geometry . Omar Khayyam (1048–1131) found geometric solutions to cubic equations . The theorems of Ibn al-Haytham (Alhazen), Omar Khayyam and Nasir al-Din al-Tusi on quadrilaterals , including

11430-505: The juniors before retiring. Entrance to East German Universities was very limited. To attend University education in East Germany, one had to attend the erweiterte Oberschule . Access to these schools was restricted to the 2-3 best students per POS class. Entry to the EOS was after grade 8 for 4 years. At 18 years of age, every youth either had finished EOS or vocational training. A special form

11557-546: The latter section, he stated his famous theorem on the diagonals of a cyclic quadrilateral . Chapter 12 also included a formula for the area of a cyclic quadrilateral (a generalization of Heron's formula ), as well as a complete description of rational triangles ( i.e. triangles with rational sides and rational areas). In the Middle Ages , mathematics in medieval Islam contributed to the development of geometry, especially algebraic geometry . Al-Mahani (b. 853) conceived

11684-399: The local prefectural , ordinance city , or core city governments. Japan has a universal childcare system and childcare is free or relatively affordable as the national government provides subsidies and a framework for working families. Based on household incomes and the number of children in need of childcare, local municipal governments set fee schedules for childcare for children under

11811-453: The lower classes. The beginning of the school year was September 1 unless that day was a Thursday , Friday or Saturday , then school started the following Monday . The school year always had 38 weeks of classes with 30 weeks covered by the nationwide unified curriculum. Since 1951, the learning of the Russian language as the foreign language was obligatory, because of the leading role of

11938-416: The mid-1980s, there was an important change: those who wanted to study informatics could have their national service halved to nine months. Childcare Childcare , also known as day care , is the care and supervision of one or more children, typically ranging from two weeks to 18 years old. When describing a business class, "daycare" is usually written as a single word. Although most parents spend

12065-571: The minimum Certificate III in Children's Services in order to work in a center ( Recognition of Prior Learning is available to help qualify staff with many years experience, but no qualifications). (Common more advanced qualifications are 'Diploma of Children's Services' and an Early Childhood Education degree). Rules differ between states regarding family day care in Australia. To start a Family Day Care business in Victoria, an educator should be either have

12192-411: The most influential books ever written. Euclid introduced certain axioms , or postulates , expressing primary or self-evident properties of points, lines, and planes. He proceeded to rigorously deduce other properties by mathematical reasoning. The characteristic feature of Euclid's approach to geometry was its rigor, and it has come to be known as axiomatic or synthetic geometry. At the start of

12319-429: The multitude of geometries, the concept of a line is closely tied to the way the geometry is described. For instance, in analytic geometry , a line in the plane is often defined as the set of points whose coordinates satisfy a given linear equation , but in a more abstract setting, such as incidence geometry , a line may be an independent object, distinct from the set of points which lie on it. In differential geometry,

12446-418: The numbers up to 10 , counting up to 20 , handling of quantities, crafts and motor skills exercises to prepare the hand to writing , the handling of pencils , scissors , fabrics and glue . Children were also encouraged to take an active role in the running of their kindergartens. Children often had to serve each other meals and help keep the kindergarten clean and tidy. There were no fees charged for

12573-441: The only instruments used in most geometric constructions are the compass and straightedge . Also, every construction had to be complete in a finite number of steps. However, some problems turned out to be difficult or impossible to solve by these means alone, and ingenious constructions using neusis , parabolas and other curves, or mechanical devices, were found. The geometrical concepts of rotation and orientation define part of

12700-831: The physical facilities (washroom, eating, sleeping, lighting levels, etc.). In 2021, in reflection on the circumstances of the COVID-19 pandemic, the Canadian government reflected upon the benefits and values of child care on child development and economic growth. As such, the government made it a goal to decrease the cost of child care. This policy change is reflected in the 2021 Canadian budget, which invests up to $ 8.3 billion for child care services for early learning and for indigenous communities. In Denmark most daycares accept children ranging from 6 months old to three years old. 91.2% of one- and two-year-old children are enrolled in different types of daycare institutions. Most of these are managed by

12827-453: The physical growth, nutritional status, and motor development of children from birth to 5 years of age. Despite increasing funding over the past three decades, the ICDS fell short of its stated objectives and still faces a number of challenges. Also, though it has widespread coverage, operational gaps mean that service delivery is not consistent in quality and quantity across the country. The World Bank has highlighted certain key shortcomings of

12954-510: The physical world, geometry has applications in almost all sciences, and also in art, architecture , and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem , a problem that was stated in terms of elementary arithmetic , and remained unsolved for several centuries. During

13081-407: The placement of objects embedded in the plane or in space. Traditional geometry allowed dimensions 1 (a line or curve), 2 (a plane or surface), and 3 (our ambient world conceived of as three-dimensional space ). Furthermore, mathematicians and physicists have used higher dimensions for nearly two centuries. One example of a mathematical use for higher dimensions is the configuration space of

13208-403: The popularity for licensed childcare and the increasing number of women in the workforce, many children are placed on a waiting list. This is one of the biggest social problems in Japan, known as "taiki jidō problem" ( 待機児童問題 , lit.   ' 'standby children problem' ' ) in larger cities. As of April 2019, Okinawa had the highest percentage of children on the waitlist at 2.8% of all

13335-521: The principles of childcare, before being able to open their business in which they would be given money to furnish the facility as necessary for a safe caring center to be created. Another way this program was set into place was by subsidizing the care of non-profits, private for profits, or religious institutions who were based in the area of need. Many children in Norway start daycare between 10 months and 3 years old. Funded parental leave for working parents

13462-546: The programme including the inability to target girl child improvements, the participation of wealthier children more than the poorer children, and the lowest level of funding for the poorest and most undernourished states of India. Additionally, private childcare services also exist in the country for wealthier families. Licensed childcare in Japan falls under the jurisdiction of Ministry of Health, Labour and Welfare , but each licensed daycare facilities are run by private or public organizations, which are licensed and inspected by

13589-478: The properties that they must have, as in Euclid's definition as "that which has no part", or in synthetic geometry . In modern mathematics, they are generally defined as elements of a set called space , which is itself axiomatically defined. With these modern definitions, every geometric shape is defined as a set of points; this is not the case in synthetic geometry, where a line is another fundamental object that

13716-498: The rise in Mexico due to the increasing interest it has within the people and the effect it has on the government. This is due to the rise of urban areas in developing countries and the need to keep up with the economic development. There has always been many child care services available but due to the high costs, they were mainly unavailable for the low income families. Childcare became a hot topic of discussion when more women were joining

13843-554: The same definition is used, but the defining function is required to be differentiable. Algebraic geometry studies algebraic curves , which are defined as algebraic varieties of dimension one. A surface is a two-dimensional object, such as a sphere or paraboloid. In differential geometry and topology , surfaces are described by two-dimensional 'patches' (or neighborhoods ) that are assembled by diffeomorphisms or homeomorphisms , respectively. In algebraic geometry, surfaces are described by polynomial equations . A solid

13970-493: The same objectives which are "containment, paternalist cure approach and street education." The creation of childcare programs in Mexico is quite different from others because it focuses on the "defeminization of labor and the defamilization of care." Female participation is a goal that the government has so it set in place many policies and modes to achieve this. The creation of a successful program of child care has been sought out and many different aspects have been changed over

14097-434: The seventies, the high number of compulsory lessons were evenly spread throughout the six schooldays of the week, there was de facto no loss of class time because of ill teachers or shortage of teachers, the compulsory teaching was finished around noon and the afternoon was free for a variety of optional activities like elective teaching, study groups, project groups, children's sports and organised afternoon care for students in

14224-743: The standards that all early years providers must meet to ensure that children learn and develop well and are kept healthy and safe. It promotes teaching and learning to ensure children's 'school readiness' and gives children the broad range of knowledge and skills that provide the right foundation for good future progress through school and life. Childminders have the same responsibilities for education as nurseries and reception classes. They generally work from their own homes and are always self-employed setting their own terms and conditions. The Professional Association for Childcare & Early Years promotes and supports high-quality child-minding expertise, and provides information for childminders and parents. The UK has

14351-781: The state of Bavaria for example, daycare assistants ( Kinderpfleger ) will have attended school for two years and daycare teachers ( Erzieher ) for three years with an additional two-year internship. India has a system of universal childcare which is free and provided by the state through the Integrated Child Development Services . It provides food, preschool education, primary healthcare , immunization, contraceptive counselling, health check-up and referral services to children under 6 years of age and their mothers. For nutritional purposes ICDS provides 500 kilocalories (with 12–15 gm  grams of protein ) every day to every child below 6 years of age. For adolescent girls it

14478-404: The street instead of a particular home. This issue was of great debate because it not only affects the child but also the community the child is in, since they usually seek out public spaces for shelter, food and play. Childcare is generally broken into three general categories such as governmental institutions, religious organizations, and independent agencies (such as NGOS). All of these take on

14605-428: The student was integrated into the team where they would work after the apprenticeship. The vocational training could take place in the students home town, but often occurred in another city. Students lived there in an Internat (boarding school). In most cases that was the first time in the young persons life they lived "independent" from their parents' home for one or two years. The students were allowed to visit home on

14732-589: The study of Euclidean concepts such as points , lines , planes , angles , triangles , congruence , similarity , solid figures , circles , and analytic geometry . Euclidean vectors are used for a myriad of applications in physics and engineering, such as position , displacement , deformation , velocity , acceleration , force , etc. Differential geometry uses techniques of calculus and linear algebra to study problems in geometry. It has applications in physics , econometrics , and bioinformatics , among others. In particular, differential geometry

14859-409: The theory of manifolds and Riemannian geometry . Later in the 19th century, it appeared that geometries without the parallel postulate ( non-Euclidean geometries ) can be developed without introducing any contradiction. The geometry that underlies general relativity is a famous application of non-Euclidean geometry. Since the late 19th century, the scope of geometry has been greatly expanded, and

14986-513: The weekends. With a completed apprenticeship the worker/farmer was qualified to have additional training for supervisor (Meister), or technological school (Ingenieurschule). To go to university, Abitur was necessary. Big companies often trained more apprentices than they could absorb. Because after apprenticeship people went to national service, moved town, went to universities, changed jobs to work closer to home, etc. Hence companies had all age levels from 16-year-olds to seniors, who then trained up

15113-645: The word Spartacus ). If a student did not enter into the EOS to take the Abitur (similar to the A-level in England) after the 8th year of POS, they applied for vocational training after the 9th year. The result of the 9th year was therefore often more important than the final exam. The contract was then signed during the tenth year, so that after the tenth year of polytechnical school, a student went on to 2 or 3 years (depending on subject) of vocational training. Vocational training

15240-519: The workforce and be directly tied to the availability of childcare services and how it would affect their household. The program that was created in 2007 became known as the Federal Daycare Programme for Working Mothers. This program allowed for subsidized home and community based childcare. The one running the care centers would only have to have a training component, which consisted of a psychological test and training courses to understand

15367-439: The workforce and the debate of how this would affect how the children would be raised. Another topic of debate is how would the women pay for these expensive services while working minimum wage jobs or having limited times they could work, so the idea of subsidies arose. In specific to the child, the topic of "street children", how and where children should grow up, was debated, and if they should be allowed to be considered part of

15494-438: The world to be of a very high standard. There were two ways to get into a university: either via EOS or via apprenticeship plus abitur. For those who found their calling later in life, there were Volkshochschulen (People's Colleges) for night classes and a special university preparation course in a boarding school lasting 1 year in an ABF ( Arbeiter- und Bauern Fakultät ; Workers and Farmers College). While everyone could visit

15621-491: The years but it can be seen that there is an increase in early childhood education and care services (ECEC). ECEC services can be broken down into three different time periods and models which were implemented. The first would be in the 1970s when the Institute for Social Security focuses on covering children for mothers who were covered by Social Security services. This caused a huge gap in the children that could be covered due to

15748-444: Was not taught in school, but could be learned in the respective religious community outside of school. Instead of a comprehensive school with primary education followed by secondary education, the POS restructured the classic education process completely by establishing a systemic curriculum which expanded the concepts of secondary education into the lower classes. For instance in mathematics, handling of variables, math text problems with

15875-403: Was offered for every subject that was not taught at university, such as masonry, farming, accountancy, kindergarten teacher, nurse, mechanics, electricians, carpentry, butchery, etc. Vocational training was split in practical work and theoretical learning which focused both on the studied subject of career, and ended with a certificate and a formal title. In the latter part of the apprenticeship

16002-596: Was the creation of analytic geometry, or geometry with coordinates and equations , by René Descartes (1596–1650) and Pierre de Fermat (1601–1665). This was a necessary precursor to the development of calculus and a precise quantitative science of physics . The second geometric development of this period was the systematic study of projective geometry by Girard Desargues (1591–1661). Projective geometry studies properties of shapes which are unchanged under projections and sections , especially as they relate to artistic perspective . Two developments in geometry in

16129-439: Was vocational training with Abitur, which lasted three years after leaving the POS. East German universities were closely linked to both schools and to industry. The universities selected their own students from the applicants. As the school system was centralized, all school certificates were comparable. No university entry exam was necessary. Mostly focused on technical education, these universities were highly regarded all over

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