Investigations

Investigations PDF Author: Stuart A. Kauffman
Publisher: Oxford University Press
ISBN: 0190283858
Category : Science
Languages : en
Pages : 469

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Book Description
"It may be that I have stumbled upon an adequate description of life itself." These modest yet profound words trumpet an imminent paradigm shift in scientific, economic, and technological thinking. In the tradition of Schrödinger's classic What Is Life?, Kauffman's Investigations is a tour-de-force exploration of the very essence of life itself, with conclusions that radically undermine the scientific approaches on which modern science rests--the approaches of Newton, Boltzman, Bohr, and Einstein. Building on his pivotal ideas about order and evolution in complex life systems, Kauffman finds that classical science does not take into account that physical systems--such as people in a biosphere--effect their dynamic environments in addition to being affected by them. These systems act on their own behalf as autonomous agents, but what defines them as such? In other words, what is life? Kauffman supplies a novel answer that goes beyond traditional scientific thinking by defining and explaining autonomous agents and work in the contexts of thermodynamics and of information theory. Much of Investigations unpacks the progressively surprising implications of his definition. Significantly, he sets the stages for a technological revolution in the coming decades. Scientists and engineers may soon seek to create autonomous agents--both organic and mechanical--that can not only construct things and work, but also reproduce themselves! Kauffman also lays out a foundation for a new concept of organization, and explores the requirements for the emergence of a general biology that will transcend terrestrial biology to seek laws governing biospheres anywhere in the cosmos. Moreover, he presents four candidate laws to explain how autonomous agents co-create their biosphere and the startling idea of a "co-creating" cosmos. A showcase of Kauffman's most fundamental and significant ideas, Investigations presents a new way of thinking about the fundamentals of general biology that will change the way we understand life itself--on this planet and anywhere else in the cosmos.

Maths Investigations

Maths Investigations PDF Author: Paul Swan
Publisher: R.I.C. Publications
ISBN: 1863118160
Category : Mathematical recreations
Languages : en
Pages : 89

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Book Description
Maths investigations : middle + upper primary : RIC-0094.

Investigations

Investigations PDF Author: Stuart A. Kauffman
Publisher: Oxford University Press
ISBN: 0190283858
Category : Science
Languages : en
Pages : 469

Get Book Here

Book Description
"It may be that I have stumbled upon an adequate description of life itself." These modest yet profound words trumpet an imminent paradigm shift in scientific, economic, and technological thinking. In the tradition of Schrödinger's classic What Is Life?, Kauffman's Investigations is a tour-de-force exploration of the very essence of life itself, with conclusions that radically undermine the scientific approaches on which modern science rests--the approaches of Newton, Boltzman, Bohr, and Einstein. Building on his pivotal ideas about order and evolution in complex life systems, Kauffman finds that classical science does not take into account that physical systems--such as people in a biosphere--effect their dynamic environments in addition to being affected by them. These systems act on their own behalf as autonomous agents, but what defines them as such? In other words, what is life? Kauffman supplies a novel answer that goes beyond traditional scientific thinking by defining and explaining autonomous agents and work in the contexts of thermodynamics and of information theory. Much of Investigations unpacks the progressively surprising implications of his definition. Significantly, he sets the stages for a technological revolution in the coming decades. Scientists and engineers may soon seek to create autonomous agents--both organic and mechanical--that can not only construct things and work, but also reproduce themselves! Kauffman also lays out a foundation for a new concept of organization, and explores the requirements for the emergence of a general biology that will transcend terrestrial biology to seek laws governing biospheres anywhere in the cosmos. Moreover, he presents four candidate laws to explain how autonomous agents co-create their biosphere and the startling idea of a "co-creating" cosmos. A showcase of Kauffman's most fundamental and significant ideas, Investigations presents a new way of thinking about the fundamentals of general biology that will change the way we understand life itself--on this planet and anywhere else in the cosmos.

Open-ended Maths Investigations

Open-ended Maths Investigations PDF Author: Ann Baker
Publisher: Blake Education
ISBN: 9781921143540
Category : Mathematics
Languages : en
Pages : 56

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Book Description
"Provides teachers with open-ended investigations matched to all strands of mathematics (number, money, measurement, space, chance and data, patterns and algebra.)" -- T.p. verso.

25 Real Life Math Investigations

25 Real Life Math Investigations PDF Author: Edward Zaccaro
Publisher:
ISBN: 9780967991580
Category : Mathematics
Languages : en
Pages : 396

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Book Description
Investigations on topics such as the dangers of short term loans, interest, and other topics of financial literacy. Explore the math behind current topics such as ethanol and hybrid cars. Learn how math mistakes in the media have had significant consequences. These and other fascinating math investigations show the ability of mathematics to cut through deception and flawed thinking.

Open Middle Math

Open Middle Math PDF Author: Robert Kaplinsky
Publisher: Taylor & Francis
ISBN: 1003839886
Category : Education
Languages : en
Pages : 193

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Book Description
This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.

Maths Problem Solving Toolkit

Maths Problem Solving Toolkit PDF Author: Lucy Simonds
Publisher: Heinemann
ISBN: 0435218247
Category :
Languages : en
Pages : 132

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Book Description
The mixed-year Problem-Solving Toolkit (Teacher Book and CD): Provides ideas for teaching the full range of problem-solving strategies. Offers guidance on when to use each strategy Contains a planning chart for integration alongside any maths topic. Includes problems for pupils to practise each strategy. Includes mixed problems where pupils can decide which strategy to use.

Maths Problems and Investigations

Maths Problems and Investigations PDF Author: Greg Purcell
Publisher:
ISBN: 9781921613166
Category : Mathematics
Languages : en
Pages : 48

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Book Description


Real Life Math Investigations

Real Life Math Investigations PDF Author: Martin Lee
Publisher: Scholastic
ISBN: 9780590963848
Category : Educational games
Languages : en
Pages : 0

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Book Description
Each investigation in this book asks a question and presents a plan of action. None has a single 'right answer, ' yet all can be answered in some way. There's no answer key--it's up to students to use their critical thinking skills and number sense to evaluate their work and the work of their classmates. It's up to you to help them recognize and apply the math ideas embedded in every investigation, such as patterns and relationships, computation, estimation, measurement, statistics, and proportional reasoning.- from the book.Grades 5-8.

Reggio-Inspired Mathematics

Reggio-Inspired Mathematics PDF Author: Richmond School District
Publisher: Lulu.com
ISBN: 131278007X
Category : Education
Languages : en
Pages : 36

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Book Description
This booklet documents our school district's collaborative inquiry project looking at how Reggio-inspired practices can inform and enhance primary mathematics teaching and learning.

Maths Plus

Maths Plus PDF Author: Peter Clarke
Publisher: Heinemann
ISBN: 0435208810
Category : Mathematics
Languages : en
Pages : 88

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Book Description
Stimulate children to work collaboratively with Maths Plus Groups Work -- and have fun too! Groups Work Year 6 Teacher Book provides 15 problem-solving group activities.