Marian Small
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Marian Small
Marian Small (born 1948) is a Canadian educational researcher, academic, author, and public speaker. She has co-authored mathematics textbooks used in Canada, Austria, and the United States, and is a proponent of a constructivist approach to mathematical instruction within K–12 classrooms. Career Small began teaching at the University of New Brunswick's Faculty of Education in 1973. Within that faculty she served as department chair, acting associate dean, acting dean, dean, and acting vice-president. Small served two terms on New Brunswick's School District 18. Approach to mathematics instruction Small advocates a "constructivism" approach to mathematics instruction, which encourages students to construct explanations to math problems. "There is a strongly held belief in the mathematics education community", wrote Small, "that mathematics is best learned when students are actively engaged in constructing their own understandings. This is only likely to happen in classr ...
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Constructivist Teaching Methods
Constructivist teaching is based on constructivist learning theory. Constructivist teaching is based on the belief that learning occurs as learners are actively involved in a process of meaning and knowledge construction as opposed to passively receiving information. History Constructivist approach teaching methods are based on constructivist learning theory. Scholars such as Ernst von Glasersfeld trace the origin of this approach to the philosophies of Immanuel Kant, George Berkeley, and Jean Piaget. There are those who also cite the contribution of John Dewey such as his works on action research, which allows the construction of complex understanding of teaching and learning. Dewey and Piaget researched childhood development and education; both were very influential in the development of informal education. Dewey's idea of influential education suggests that education must engage with and enlarge exploration of thinking and reflection associated with the role of educators ...
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Women Textbook Writers
A woman is an adult female human. Prior to adulthood, a female human is referred to as a girl (a female child or adolescent). The plural ''women'' is sometimes used in certain phrases such as "women's rights" to denote female humans regardless of age. Typically, women inherit a pair of X chromosomes, one from each parent, and are capable of pregnancy and giving birth from puberty until menopause. More generally, sex differentiation of the female fetus is governed by the lack of a present, or functioning, SRY-gene on either one of the respective sex chromosomes. Female anatomy is distinguished from male anatomy by the female reproductive system, which includes the ovaries, fallopian tubes, uterus, vagina, and vulva. A fully developed woman generally has a wider pelvis, broader hips, and larger breasts than an adult man. Women have significantly less facial and other body hair, have a higher body fat composition, and are on average shorter and less muscular than men. Throug ...
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Canadian Textbook Writers
Canadians (french: Canadiens) are people identified with the country of Canada. This connection may be residential, legal, historical or cultural. For most Canadians, many (or all) of these connections exist and are collectively the source of their being ''Canadian''. Canada is a multilingual and multicultural society home to people of groups of many different ethnic, religious, and national origins, with the majority of the population made up of Old World immigrants and their descendants. Following the initial period of French and then the much larger British colonization, different waves (or peaks) of immigration and settlement of non-indigenous peoples took place over the course of nearly two centuries and continue today. Elements of Indigenous, French, British, and more recent immigrant customs, languages, and religions have combined to form the culture of Canada, and thus a Canadian identity. Canada has also been strongly influenced by its linguistic, geographic, and ec ...
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Mathematics Educators
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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21st-century Women Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, ...
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21st-century Canadian Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, a ...
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K–12 (education)
K–12, from kindergarten to 12th grade, is an American English expression that indicates the range of years of publicly supported primary and secondary education found in the United States, which is similar to publicly supported school grades before college in several other countries, such as Afghanistan, Australia, Canada, China, Ecuador, Egypt, India, Iran, the Philippines, South Korea, and Turkey. History U.S. public education was conceived of in the late 18th century. In 1790, Pennsylvania became the first state to require some form of free education for everyone regardless of whether they could afford it. New York passed similar legislation in 1805. In 1820, Massachusetts became the first state to create a tuition-free high school, Boston English. The first K–12 public school systems appeared in the early 19th century. In the 1830s and 1840s, Ohioans were taking a significant interest in the idea of public education. At that point in time, schools were commonly opera ...
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Canadian Women Mathematicians
Canadians (french: Canadiens) are people identified with the country of Canada. This connection may be residential, legal, historical or cultural. For most Canadians, many (or all) of these connections exist and are collectively the source of their being ''Canadian''. Canada is a multilingual and multicultural society home to people of groups of many different ethnic, religious, and national origins, with the majority of the population made up of Old World immigrants and their descendants. Following the initial period of French and then the much larger British colonization, different waves (or peaks) of immigration and settlement of non-indigenous peoples took place over the course of nearly two centuries and continue today. Elements of Indigenous, French, British, and more recent immigrant customs, languages, and religions have combined to form the culture of Canada, and thus a Canadian identity. Canada has also been strongly influenced by its linguistic, geographic, and ec ...
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