Part of a K-5 mathematics curriculum, with curriculum units for classroom use and resources for teachers; the Investigations curriculum was developed at TERC, formerly Technical Education Research Centers.
"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.
"Presents practices and routines designed to support and nourish teachers as they prepare and present a meaningful year of mathematics instruction for fifth-grade mathematicians. Offers activities, lessons, and narration that can be easily adapted or adjusted to fit the particular needs of the students or the requirements of a prescribed curriculum"--
Develop new skills and strategies for inclusive mathematics teaching! The highly acclaimed Math for All workshop program helps general and special education teachers collaborate to reach all students with standards-based mathematics lessons. This participant book is the companion to the Math for All K-2 facilitator’s guide, and includes all the reproducibles, plus classroom assignments that extend learning between workshop sessions. Participants will find: A user-friendly overview of the eight neuro-developmental functions that shape mathematics learning Hands-on activities and tools that help teachers accurately identify students’ strengths and challenges, then adapt instructional strategies accordingly Techniques for reaching ELLs and students with disabilities
Part of a K-5 mathematics curriculum, with curriculum units for classroom use and resources for teachers; the Investigations curriculum was developed at TERC, formerly Technical Education Research Centers.