Algebraic Thinking Leveled Problem Addition And Logic Figure It
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Algebraic Thinking Leveled Problem Addition And Logic Figure It
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Author : Linda Dacey, Ed.D.
language : en
Publisher: Teacher Created Materials
Release Date : 2014-01-01
Algebraic Thinking Leveled Problem Addition And Logic Figure It written by Linda Dacey, Ed.D. and has been published by Teacher Created Materials this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-01 with categories.
Differentiate problem solving in your classroom using effective, research-based strategies. The problem-solving mini-lesson guides teachers in how to teach differentiated lessons. The student activity sheet features a problem tiered at three levels.
Approaches To Algebra
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Author : N. Bednarz
language : en
Publisher: Springer
Release Date : 1996-06-30
Approaches To Algebra written by N. Bednarz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-30 with Education categories.
In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
Creative Problem Solving In School Mathematics
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Author : George Lenchner
language : en
Publisher: Moems
Release Date : 2005-01-01
Creative Problem Solving In School Mathematics written by George Lenchner and has been published by Moems this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
Sra Real Math
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Author : Sharon Griffin
language : en
Publisher:
Release Date : 2007-08
Sra Real Math written by Sharon Griffin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08 with Mathematics categories.
A standards-based, comprehensive math intervention curriculum for the state of California. Designed for students identified with math deficiencies who have not responded to reteaching efforts or who have a sustained lack of adquate progress in mathematics. This program provides intensive focus on developing foundational understanding and skills. It provides explicit, scientifically based instruction emphasizing the five critical elements of mathematics proficiency: understanding, computing, applying reasoning/problem solving , and engagement.
Reinforcement Learning
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Author : Richard S. Sutton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Reinforcement Learning written by Richard S. Sutton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Reinforcement learning is the learning of a mapping from situations to actions so as to maximize a scalar reward or reinforcement signal. The learner is not told which action to take, as in most forms of machine learning, but instead must discover which actions yield the highest reward by trying them. In the most interesting and challenging cases, actions may affect not only the immediate reward, but also the next situation, and through that all subsequent rewards. These two characteristics -- trial-and-error search and delayed reward -- are the most important distinguishing features of reinforcement learning. Reinforcement learning is both a new and a very old topic in AI. The term appears to have been coined by Minsk (1961), and independently in control theory by Walz and Fu (1965). The earliest machine learning research now viewed as directly relevant was Samuel's (1959) checker player, which used temporal-difference learning to manage delayed reward much as it is used today. Of course learning and reinforcement have been studied in psychology for almost a century, and that work has had a very strong impact on the AI/engineering work. One could in fact consider all of reinforcement learning to be simply the reverse engineering of certain psychological learning processes (e.g. operant conditioning and secondary reinforcement). Reinforcement Learning is an edited volume of original research, comprising seven invited contributions by leading researchers.
Human Reasoning And Cognitive Science
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Author : Keith Stenning
language : en
Publisher: MIT Press
Release Date : 2012-01-13
Human Reasoning And Cognitive Science written by Keith Stenning and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-13 with Medical categories.
A new proposal for integrating the employment of formal and empirical methods in the study of human reasoning. In Human Reasoning and Cognitive Science, Keith Stenning and Michiel van Lambalgen—a cognitive scientist and a logician—argue for the indispensability of modern mathematical logic to the study of human reasoning. Logic and cognition were once closely connected, they write, but were “divorced” in the past century; the psychology of deduction went from being central to the cognitive revolution to being the subject of widespread skepticism about whether human reasoning really happens outside the academy. Stenning and van Lambalgen argue that logic and reasoning have been separated because of a series of unwarranted assumptions about logic. Stenning and van Lambalgen contend that psychology cannot ignore processes of interpretation in which people, wittingly or unwittingly, frame problems for subsequent reasoning. The authors employ a neurally implementable defeasible logic for modeling part of this framing process, and show how it can be used to guide the design of experiments and interpret results.
Distance Education For Teacher Training
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Author : Hilary Perraton
language : en
Publisher: Routledge
Release Date : 2002-03-11
Distance Education For Teacher Training written by Hilary Perraton and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-11 with Education categories.
Distance education, combining the use of correspondence texts, broadcasting and limited opportunities for face-to-face study, has been used in at least a hundred teacher training programmes over the last 25 years. Distance Education for Teacher Training is the first comparative review of the use of distance education and open learning for the training and upgrading of teachers. The book contains case studies using a broadly common format both to describe and analyse distance teacher training programmes in eleven countries across five continents. The case studies describe the methods used to examine how far the craft of teaching can be studied at a distance. Using a standardised microeconomic framework, they provide unique data on the comparative costs of training teachers by distance and conventional methods. The authors then draw general conclusions about the advantages and drawbacks of using distance education or open learning, about the conditions for success, and about comparative effects and costs. Distance Education for Teacher Training will be of value to all concerned with teacher education, whether in developing or industrialised countries, and to those working in and planning for distance education and open learning.
Didactics Of Mathematics As A Scientific Discipline
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Author : Rolf Biehler
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-11-30
Didactics Of Mathematics As A Scientific Discipline written by Rolf Biehler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-30 with Education categories.
Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science.
Computational Complexity
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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20
Computational Complexity written by Sanjeev Arora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Computers categories.
New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Is God A Mathematician
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Author : Mario Livio
language : en
Publisher: Simon and Schuster
Release Date : 2011-02-22
Is God A Mathematician written by Mario Livio and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-22 with Mathematics categories.
Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.