Three-part Lesson
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Three-part Lesson
A three-part lesson is an inquiry-based learning method used to teach mathematics in K–12 schools. The three-part lesson has been attributed to John A. Van de Walle, a mathematician at Virginia Commonwealth University. Components Getting started phase (10 to 15 minutes) The purpose is to cognitively prepare students for the math lesson by having them think about a procedure, strategy or concept used in a prior lesson. Teachers determine what specific previous learning they wish students to recall, based on outcomes desired for that particular lesson. The role of the teacher is to "get students mentally prepared to work on the problem". Marian Small, a proponent of a constructivist approach to mathematical instruction, provides an example of an inquiry-based question from which a three-part lesson could be created: "one bus has 47 students in it; another has 38. How many students are on both buses?" Work phase (30 to 40 minutes) Students engage in solving math problems individ ...
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Inquiry-based Learning
Inquiry-based learning (also spelled as enquiry-based learning in British English) is a form of active learning that starts by posing questions, problems or scenarios. It contrasts with traditional education, which generally relies on the teacher presenting facts and their own knowledge about the subject. Inquiry-based learning is often assisted by a facilitator rather than a lecturer. Inquirers will identify and research issues and questions to develop knowledge or solutions. Inquiry-based learning includes problem-based learning, and is generally used in small scale investigations and projects, as well as research. The inquiry-based instruction is principally very closely related to the development and practice of thinking and problem solving skills. History Inquiry-based learning is primarily a pedagogical method, developed during the discovery learning movement of the 1960s as a response to traditional forms of instruction—where people were required to memorize informat ...
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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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Virginia Commonwealth University
Virginia Commonwealth University (VCU) is a public research university in Richmond, Virginia. VCU was founded in 1838 as the medical department of Hampden–Sydney College, becoming the Medical College of Virginia in 1854. In 1968, the Virginia General Assembly merged MCV with the Richmond Professional Institute, founded in 1917, to create Virginia Commonwealth University. In 2022, more than 28,000 students pursued 217 degree and certificate programs through VCU's 11 schools and three colleges. The VCU Health System supports the university's health care education, research, and patient care mission. VCU had a record $310 million in sponsored research funding in the fiscal year 2019 and is classified among "R1: Doctoral Universities – Very high research activity". A broad array of university-approved centers and institutes of excellence, involving faculty from multiple disciplines in the humanities, public policy, biotechnology and health care discoveries, supports the unive ...
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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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Ministry Of Education (Ontario)
The Ministry of Education is the Ministry (government department), ministry of the Government of Ontario responsible for government policy, funding, curriculum planning and direction in all levels of public education, including elementary school, elementary and high school, secondary schools. The ministry is responsible for curriculum and guidelines for all officially recognized elementary and secondary schools in the province and some outside the province. The ministry is also responsible for public and separate school boards across Ontario, but are not involved in the day-to-day operations. The current minister of education is Stephen Lecce. A number of ministers of education have gone on to become Premiers of Ontario, premier of Ontario, including Arthur Sturgis Hardy, George William Ross, George Ross, George A. Drew, George Drew, John Robarts, William Grenville Davis, Bill Davis, and Kathleen Wynne. History Prior to Confederation (Canada), Confederation, the supervision of t ...
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Math Wars
Math wars is the debate over modern mathematics education, textbooks and curricula in the United States that was triggered by the publication in 1989 of the ''Curriculum and Evaluation Standards for School Mathematics'' by the National Council of Teachers of Mathematics (NCTM) and subsequent development and widespread adoption of a new generation of mathematics curricula inspired by these standards. While the discussion about math skills has persisted for many decades, the term "math wars" was coined by commentators such as John A. Van de Walle and David Klein. The debate is over traditional mathematics and reform mathematics philosophy and curricula, which differ significantly in approach and content. Advocates of reform The largest supporter of reform in the US has been the National Council of Teachers of Mathematics. One aspect of the debate is over how explicitly children must be taught skills based on formulas or algorithms (fixed, step-by-step procedures for solving math p ...
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Pedagogy
Pedagogy (), most commonly understood as the approach to teaching, is the theory and practice of learning, and how this process influences, and is influenced by, the social, political and psychological development of learners. Pedagogy, taken as an academic discipline, is the study of how knowledge and skills are imparted in an educational context, and it considers the interactions that take place during learning. Both the theory and practice of pedagogy vary greatly as they reflect different social, political, and cultural contexts. Pedagogy is often described as the act of teaching. The pedagogy adopted by teachers shapes their actions, judgments, and teaching strategies by taking into consideration theories of learning, understandings of students and their needs, and the backgrounds and interests of individual students. Its aims may range from furthering liberal education (the general development of human potential) to the narrower specifics of vocational education (the impa ...
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Learning Methods
Learning is the process of acquiring new understanding, knowledge, behaviors, skills, values, attitudes, and preferences. The ability to learn is possessed by humans, animals, and some machines; there is also evidence for some kind of learning in certain plants. Some learning is immediate, induced by a single event (e.g. being burned by a hot stove), but much skill and knowledge accumulate from repeated experiences. The changes induced by learning often last a lifetime, and it is hard to distinguish learned material that seems to be "lost" from that which cannot be retrieved. Human learning starts at birth (it might even start before in terms of an embryo's need for both interaction with, and freedom within its environment within the womb.) and continues until death as a consequence of ongoing interactions between people and their environment. The nature and processes involved in learning are studied in many established fields (including educational psychology, neuropsychology ...
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Teaching
Teaching is the practice implemented by a ''teacher'' aimed at transmitting skills (knowledge, know-how, and interpersonal skills) to a learner, a student, or any other audience in the context of an educational institution. Teaching is closely related to ''learning'', the student's activity of appropriating this knowledge. Teaching is part of the broader concept of ''education Education is a purposeful activity directed at achieving certain aims, such as transmitting knowledge or fostering skills and character traits. These aims may include the development of understanding, rationality, kindness, and honesty. Va ...''.Naïl Ver, Adeline Paul and Farid Malki, ''Professeur des écoles : droits, responsabilités, carrière'', Retz Éditions, 2014, 223 p. Methods Profession Training References {{Authority control ...
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