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Cognitively Guided Instruction
Cognitively Guided Instruction is "a professional development program based on an integrated program of research on (a) the development of students' mathematical thinking; (b) instruction that influences that development; (c) teachers' knowledge and beliefs that influence their instructional practice; and (d) the way that teachers' knowledge, beliefs, and practices are influenced by their understanding of students' mathematical thinking". CGI is an approach to teaching mathematics rather than a curriculum program. At the core of this approach is the practice of listening to children's mathematical thinking and using it as a basis for instruction. Research based frameworks of children's thinking in the domains of addition and subtraction, multiplication and division, base-ten concepts, multidigit operations, algebra, geometry and fractions provide guidance to teachers about listening to their students. Case studies of teachers using CGI have shown the most accomplished teachers use ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Professional Development
Professional development is learning to earn or maintain professional credentials such as academic degrees to formal coursework, attending conferences, and informal learning Informal learning is characterized "by a low degree of planning and organizing in terms of the learning context, learning support, learning time, and learning objectives". It differs from formal learning, non-formal learning, and self-regulated l ... opportunities situated in practice. It has been described as intensive and collaborative, ideally incorporating an evaluative stage. There is a variety of approaches to professional development, including consultation, coaching, community of practice, communities of practice, lesson study, mentoring, reflective supervision and technical assistance.National Professional Development Center on Inclusion. (2008)"What do we mean by professional development in the early childhood field?" Chapel Hill: The University of North Carolina, FPG Child Development Institute. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Case Study
A case study is an in-depth, detailed examination of a particular case (or cases) within a real-world context. For example, case studies in medicine may focus on an individual patient or ailment; case studies in business might cover a particular firm's strategy or a broader market; similarly, case studies in politics can range from a narrow happening over time (e.g., a specific political campaign) to an enormous undertaking (e.g., a world war). Generally, a case study can highlight nearly any individual, group, organization, event, belief system, or action. A case study does not necessarily have to be one observation ( N=1), but may include many observations (one or multiple individuals and entities across multiple time periods, all within the same case study). Research projects involving numerous cases are frequently called cross-case research, whereas a study of a single case is called within-case research. Case study research has been extensively practiced in both the social and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Direct Instruction
Direct Instruction (DI) is a term for the explicit teaching of a skill-set using lectures or demonstrations of the material to students. A particular subset of direct instruction, denoted by capitalization as Direct Instruction, refers to a specific example of the approach developed by Siegfried Engelmann and Wesley C. Becker. DI teaches by explicit instruction, Explicit Instruction. LearnLab. Pittsburgh Science of Learning Center. Retrieved 2017-06-12. in contrast to exploratory models such as . DI includes s, participatory laboratory classes, [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Problem Solving
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles. Another classification is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is troublesome but it is not clear what kind of resolution to aim for. Similarly, one may distinguish formal or fact-based problems requiring psychometric intelligence, versus socio-emotional problems which depend on the changeable emotions of individuals or groups, such as tactful behavior, fashion, or gift choices. Solutions require sufficient resources and knowledge to attain the goal. Professionals such as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elizabeth Fennema
Ann Elizabeth Fennema ( Hammer; April 8, 1928 – December 20, 2021) was an American educator specializing in the teaching of mathematics. Early life and education Fennema was born in El Dorado, Kansas, on April 8, 1928, and attended the local Methodist college for two years, before transferring to Kansas State University where she majored in psychology. She received her master's degree in education from the University of Wisconsin in 1952. In 1962 Kathryn Clarenbach (a founder of NOW) sent out a questionnaire inquiring of unemployed or underemployed wives of university professors who were interested in a career. As a result of this process Fennema was asked to be a supervisor of student teachers. In this position she worked for Vere DeVault who encouraged her to pursue a doctorate in education and served as her dissertation adviser. She began in 1962 and received the degree in 1969 in curriculum and instruction in mathematics education. In 1962 "new math" was in vogue and ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Education
In contemporary education, mathematics education, known in Europe as the didactics or pedagogy of mathematics – is the practice of teaching, learning and carrying out scholarly research into the transfer of mathematical knowledge. Although research into mathematics education is primarily concerned with the tools, methods and approaches that facilitate practice or the study of practice, it also covers an extensive field of study encompassing a variety of different concepts, theories and methods. National and international organisations regularly hold conferences and publish literature in order to improve mathematics education. History Ancient Elementary mathematics were a core part of education in many ancient civilisations, including ancient Egypt, ancient Babylonia, ancient Greece, ancient Rome and Vedic India. In most cases, formal education was only available to male children with sufficiently high status, wealth or caste. The oldest known mathematics textbook is the Rh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Research Report
A research report is a publication that reports on the findings of a research project or alternatively scientific observations on or about a subject. Research reports are produced by many sectors including industry, education, government and non-government organizations and may be disseminated internally, or made public (i.e. published) however they are not usually available from booksellers or through standard commercial publishing channels. Research reports are also issued by governmental and international organizations, such as UNESCO. There are various distribution models for research reports with the main ones being: public distribution for free or open access; limited distribution to clients and customers; or sold commercially. For example market research reports are often produced for sale by specialist market research companies, investment companies may provide research reports to clients while government agencies and civil society organizations such as UNESCO, the World He ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Educational Research
Educational research refers to the systematic collection and analysis of data related to the field of education. Research may involve a variety of methods and various aspects of education including student learning, teaching methods, teacher training, and classroom dynamics. Educational researchers generally agree that research should be rigorous and systematic. However, there is less agreement about specific standards, criteria and research procedures. As a result, the value and quality of educational research has been questioned. Educational researchers may draw upon a variety of disciplines including psychology, economics, sociology, anthropology, and philosophy. Methods may be drawn from a range of disciplines. Conclusions drawn from an individual research study may be limited by the characteristics of the participants who were studied and the conditions under which the study was conducted. General characteristics Gary Anderson outlined ten aspects of educational research: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elementary Mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. In the Canadian curriculum, there are six basic strands in Elementary Mathematics: Number, Algebra, Data, Spatial Sense, Financial Literacy, and Social emotional learning skills and math processes. These six strands are the focus of Mathematics education from grade 1 through grade 8. In secondary school, the main topics in elementary mathematics from grade nine until grade ten are: Number Sense and algebra, Linear Relations, Measurement and Geometry. Once students enter grade eleven and twelve students begin university and college preparation classes, which include: Functions, Calculus & Vectors, Advanced Functions, and Data Management. Strands of elementary mathematics Number Sense and Numeration Number Sense is an understanding of numbers and operations. In the 'Number Sense and Numeration' strand students develop an understanding of numbers by being taught ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
