Author: Linda Dacey, Ed.D.
Publisher: Teacher Created Materials
ISBN: 1425885268
Category :
Languages : en
Pages : 4
Book Description
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.
Number Sense Leveled Problem: Add and Subtract At the Farm
Author: Linda Dacey, Ed.D.
Publisher: Teacher Created Materials
ISBN: 1425885268
Category :
Languages : en
Pages : 4
Book Description
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.
Publisher: Teacher Created Materials
ISBN: 1425885268
Category :
Languages : en
Pages : 4
Book Description
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.
California Go Math!
Author:
Publisher:
ISBN: 9780544205918
Category : Common Core series
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9780544205918
Category : Common Core series
Languages : en
Pages : 0
Book Description
Approaches to Algebra
Author: N. Bednarz
Publisher: Springer Science & Business Media
ISBN: 9400917325
Category : Education
Languages : en
Pages : 342
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9400917325
Category : Education
Languages : en
Pages : 342
Book Description
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.
Becoming a High Expectation Teacher
Author: Christine Rubie-Davies
Publisher: Routledge
ISBN: 1317644638
Category : Education
Languages : en
Pages : 275
Book Description
We constantly hear cries from politicians for teachers to have high expectations. But what this means in practical terms is never spelled out. Simply deciding that as a teacher you will expect all your students to achieve more than other classes you have taught in the same school, is not going to translate automatically into enhanced achievement for students. Becoming a High Expectation Teacher is a book that every education student, training or practising teacher, should read. It details the beliefs and practices of high expectation teachers – teachers who have high expectations for all their students – and provides practical examples for teachers of how to change classrooms into ones in which all students are expected to learn at much higher levels than teachers may previously have thought possible. It shows how student achievement can be raised by providing both research evidence and practical examples. This book is based on the first ever intervention study in the teacher expectation area, designed to change teachers’ expectations through introducing them to the beliefs and practices of high expectation teachers. A holistic view of the classroom is emphasised whereby both the instructional and socio-emotional aspects of the classroom are considered if teachers are to increase student achievement. There is a focus on high expectation teachers, those who have high expectations for all students, and a close examination of what it is that these teachers do in their classrooms that mean that their students make very large learning gains each year. Becoming a High Expectation Teacher explores three key areas in which what high expectation teachers do differs substantially from what other teachers do: the way they group students for learning, the way they create a caring classroom community, and the way in which they use goalsetting to motivate students, to promote student autonomy and to promote mastery learning. Areas covered include:- Formation of teacher expectations Teacher personality and expectation Ability grouping and goal setting Enhancing class climate Sustaining high expectations for students Becoming a High Expectation Teacher is an essential read for any researcher, student, trainee or practicing teacher who cares passionately about the teacher-student relationship and about raising expectations and student achievement.
Publisher: Routledge
ISBN: 1317644638
Category : Education
Languages : en
Pages : 275
Book Description
We constantly hear cries from politicians for teachers to have high expectations. But what this means in practical terms is never spelled out. Simply deciding that as a teacher you will expect all your students to achieve more than other classes you have taught in the same school, is not going to translate automatically into enhanced achievement for students. Becoming a High Expectation Teacher is a book that every education student, training or practising teacher, should read. It details the beliefs and practices of high expectation teachers – teachers who have high expectations for all their students – and provides practical examples for teachers of how to change classrooms into ones in which all students are expected to learn at much higher levels than teachers may previously have thought possible. It shows how student achievement can be raised by providing both research evidence and practical examples. This book is based on the first ever intervention study in the teacher expectation area, designed to change teachers’ expectations through introducing them to the beliefs and practices of high expectation teachers. A holistic view of the classroom is emphasised whereby both the instructional and socio-emotional aspects of the classroom are considered if teachers are to increase student achievement. There is a focus on high expectation teachers, those who have high expectations for all students, and a close examination of what it is that these teachers do in their classrooms that mean that their students make very large learning gains each year. Becoming a High Expectation Teacher explores three key areas in which what high expectation teachers do differs substantially from what other teachers do: the way they group students for learning, the way they create a caring classroom community, and the way in which they use goalsetting to motivate students, to promote student autonomy and to promote mastery learning. Areas covered include:- Formation of teacher expectations Teacher personality and expectation Ability grouping and goal setting Enhancing class climate Sustaining high expectations for students Becoming a High Expectation Teacher is an essential read for any researcher, student, trainee or practicing teacher who cares passionately about the teacher-student relationship and about raising expectations and student achievement.
The Calculus Lifesaver
Author: Adrian Banner
Publisher: Princeton University Press
ISBN: 0691130884
Category : Mathematics
Languages : en
Pages : 754
Book Description
For many students, calculus can be the most mystifying and frustrating course they will ever take. Based upon Adrian Banner's popular calculus review course at Princeton University, this book provides students with the essential tools they need not only to learn calculus, but also to excel at it.
Publisher: Princeton University Press
ISBN: 0691130884
Category : Mathematics
Languages : en
Pages : 754
Book Description
For many students, calculus can be the most mystifying and frustrating course they will ever take. Based upon Adrian Banner's popular calculus review course at Princeton University, this book provides students with the essential tools they need not only to learn calculus, but also to excel at it.
Lesson Play in Mathematics Education:
Author: Rina Zazkis
Publisher: Springer Science & Business Media
ISBN: 1461435498
Category : Education
Languages : en
Pages : 289
Book Description
Lesson play is a novel construct in research and teachers’ professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form—inspired in part by Lakatos’s evocative Proofs and Refutations—featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our studies—particularly in the area of pre-service teacher education, and the reasons that the tool offers such productive possibilities for both researchers and teacher educators.
Publisher: Springer Science & Business Media
ISBN: 1461435498
Category : Education
Languages : en
Pages : 289
Book Description
Lesson play is a novel construct in research and teachers’ professional development in mathematics education. Lesson play refers to a lesson or part of a lesson presented in dialogue form—inspired in part by Lakatos’s evocative Proofs and Refutations—featuring imagined interactions between a teacher and her/his students. We have been using and refining our use of this tool for a number of years and using it in a variety of situations involving mathematics thinking and learning. The goal of this proposed book is to offer a comprehensive survey of the affordances of the tool, the results of our studies—particularly in the area of pre-service teacher education, and the reasons that the tool offers such productive possibilities for both researchers and teacher educators.
Working With Numbers and Statistics
Author: Charles Livingston
Publisher: Routledge
ISBN: 1135605939
Category : Language Arts & Disciplines
Languages : en
Pages : 124
Book Description
Working With Numbers and Statistics: A Handbook for Journalists will bolster math skills and improve math confidence for journalists at all skill levels. Authors Charles Livingston and Paul Voakes developed this resource book to improve journalistic writing and reporting, enabling journalists to: *make accurate, reliable computations, which in turn enables one to make relevant comparisons, put facts into perspective, and lend important context to stories; *recognize inaccurate presentations, whether willfully spun or just carelessly relayed; *ask appropriate questions about numerical matters; *translate complicated numbers for viewers and readers in ways they can readily understand; *understand computer-assisted reporting; and *write livelier, more precise pieces through the use of numbers. The math is presented in a journalistic context throughout, enabling readers to see how the procedures will come into play in their work. Working With Numbers and Statistics is designed as a reference work for journalism students developing their writing and reporting skills. It will also serve professionals as a useful tool to improve their understanding and use of numbers in news stories.
Publisher: Routledge
ISBN: 1135605939
Category : Language Arts & Disciplines
Languages : en
Pages : 124
Book Description
Working With Numbers and Statistics: A Handbook for Journalists will bolster math skills and improve math confidence for journalists at all skill levels. Authors Charles Livingston and Paul Voakes developed this resource book to improve journalistic writing and reporting, enabling journalists to: *make accurate, reliable computations, which in turn enables one to make relevant comparisons, put facts into perspective, and lend important context to stories; *recognize inaccurate presentations, whether willfully spun or just carelessly relayed; *ask appropriate questions about numerical matters; *translate complicated numbers for viewers and readers in ways they can readily understand; *understand computer-assisted reporting; and *write livelier, more precise pieces through the use of numbers. The math is presented in a journalistic context throughout, enabling readers to see how the procedures will come into play in their work. Working With Numbers and Statistics is designed as a reference work for journalism students developing their writing and reporting skills. It will also serve professionals as a useful tool to improve their understanding and use of numbers in news stories.
Precalculus
Author: Jay P. Abramson
Publisher:
ISBN: 9781506698120
Category : Open educational resources
Languages : en
Pages : 0
Book Description
Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way.
Publisher:
ISBN: 9781506698120
Category : Open educational resources
Languages : en
Pages : 0
Book Description
Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way.
Thinking in Systems
Author: Donella Meadows
Publisher: Chelsea Green Publishing
ISBN: 1603581480
Category : Science
Languages : en
Pages : 242
Book Description
The classic book on systems thinking—with more than half a million copies sold worldwide! "This is a fabulous book... This book opened my mind and reshaped the way I think about investing."—Forbes "Thinking in Systems is required reading for anyone hoping to run a successful company, community, or country. Learning how to think in systems is now part of change-agent literacy. And this is the best book of its kind."—Hunter Lovins In the years following her role as the lead author of the international bestseller, Limits to Growth—the first book to show the consequences of unchecked growth on a finite planet—Donella Meadows remained a pioneer of environmental and social analysis until her untimely death in 2001. Thinking in Systems is a concise and crucial book offering insight for problem solving on scales ranging from the personal to the global. Edited by the Sustainability Institute’s Diana Wright, this essential primer brings systems thinking out of the realm of computers and equations and into the tangible world, showing readers how to develop the systems-thinking skills that thought leaders across the globe consider critical for 21st-century life. Some of the biggest problems facing the world—war, hunger, poverty, and environmental degradation—are essentially system failures. They cannot be solved by fixing one piece in isolation from the others, because even seemingly minor details have enormous power to undermine the best efforts of too-narrow thinking. While readers will learn the conceptual tools and methods of systems thinking, the heart of the book is grander than methodology. Donella Meadows was known as much for nurturing positive outcomes as she was for delving into the science behind global dilemmas. She reminds readers to pay attention to what is important, not just what is quantifiable, to stay humble, and to stay a learner. In a world growing ever more complicated, crowded, and interdependent, Thinking in Systems helps readers avoid confusion and helplessness, the first step toward finding proactive and effective solutions.
Publisher: Chelsea Green Publishing
ISBN: 1603581480
Category : Science
Languages : en
Pages : 242
Book Description
The classic book on systems thinking—with more than half a million copies sold worldwide! "This is a fabulous book... This book opened my mind and reshaped the way I think about investing."—Forbes "Thinking in Systems is required reading for anyone hoping to run a successful company, community, or country. Learning how to think in systems is now part of change-agent literacy. And this is the best book of its kind."—Hunter Lovins In the years following her role as the lead author of the international bestseller, Limits to Growth—the first book to show the consequences of unchecked growth on a finite planet—Donella Meadows remained a pioneer of environmental and social analysis until her untimely death in 2001. Thinking in Systems is a concise and crucial book offering insight for problem solving on scales ranging from the personal to the global. Edited by the Sustainability Institute’s Diana Wright, this essential primer brings systems thinking out of the realm of computers and equations and into the tangible world, showing readers how to develop the systems-thinking skills that thought leaders across the globe consider critical for 21st-century life. Some of the biggest problems facing the world—war, hunger, poverty, and environmental degradation—are essentially system failures. They cannot be solved by fixing one piece in isolation from the others, because even seemingly minor details have enormous power to undermine the best efforts of too-narrow thinking. While readers will learn the conceptual tools and methods of systems thinking, the heart of the book is grander than methodology. Donella Meadows was known as much for nurturing positive outcomes as she was for delving into the science behind global dilemmas. She reminds readers to pay attention to what is important, not just what is quantifiable, to stay humble, and to stay a learner. In a world growing ever more complicated, crowded, and interdependent, Thinking in Systems helps readers avoid confusion and helplessness, the first step toward finding proactive and effective solutions.
Congressional Record
Author: United States. Congress
Publisher:
ISBN:
Category : Law
Languages : en
Pages : 1074
Book Description
The Congressional Record is the official record of the proceedings and debates of the United States Congress. It is published daily when Congress is in session. The Congressional Record began publication in 1873. Debates for sessions prior to 1873 are recorded in The Debates and Proceedings in the Congress of the United States (1789-1824), the Register of Debates in Congress (1824-1837), and the Congressional Globe (1833-1873)
Publisher:
ISBN:
Category : Law
Languages : en
Pages : 1074
Book Description
The Congressional Record is the official record of the proceedings and debates of the United States Congress. It is published daily when Congress is in session. The Congressional Record began publication in 1873. Debates for sessions prior to 1873 are recorded in The Debates and Proceedings in the Congress of the United States (1789-1824), the Register of Debates in Congress (1824-1837), and the Congressional Globe (1833-1873)