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Affiche du document Uncovering Student Ideas in Primary Science, Volume 1

Uncovering Student Ideas in Primary Science, Volume 1

Page Keeley

1h55min30

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154 pages. Temps de lecture estimé 1h55min.
Winner of the Distinguished Achievement Award from PreK-12 Learning Group, Association of American Publishers! What ideas do young children bring to their science learning, and how does their thinking change as they engage in “science talk”? Find out using the 25 field-tested probes in the newest volume of Page Keeley’s bestselling Uncovering Student Ideas in Science series, the first targeted to grades K–2. This teacher-friendly book is: • Tailored to your needs. The content is geared specifically for the primary grades, with an emphasis on simple vocabulary as well as drawing and speaking (instead of writing). The format of the student pages uses minimal text and includes visual representations of familiar objects, phenomena, or ideas. • Focused on making your lessons more effective. The assessment probes engage youngsters and encourage “science talk” while letting you identify students’ preconceptions before beginning a lesson or monitor their progress as they develop new scientific explanations. • Applicable to a range of science concepts. This volume offers 8 life science probes, 11 physical science probes, and 6 Earth and space science probes that target K–2 disciplinary core ideas. • Ready to use. The book provides grade-appropriate reproducible pages for your students and detailed teacher notes for you, including clear and concise explanations, relevant research, suggestions for instruction, and connections to national standards. Uncovering Student Ideas in Primary Science is an invaluable resource for classroom and preservice teachers and professional development providers. This age-appropriate book will help you teach more effectively by starting with students’ ideas and adapting instruction to support conceptual change.
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Affiche du document Similarity of Operator on Analytic Function Spaces

Similarity of Operator on Analytic Function Spaces

Yucheng Li

2h43min30

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218 pages. Temps de lecture estimé 2h43min.
This book summarizes the study of similarity and reducing subspaces for a class of multiplication operators on the Bergman space, Dirichlet space, and Sobolev disc algebra.It also investigates the compactness of certain radial and Hankel operators on the weighted Bergman space. The research methods combine operator theory techniques with infinite matrix manipulations.The book consists of five chapters. In the first chapter, we characterize the similarity and commutant of certain analytic Toeplitz operators. The second chapter focuses on the similarity of multiplication operator induced by finite Blaschke product and characterize the compactness of a class of Hankel operators. The third chapter discusses the quasi-similarity and reducing subspaces of a class of multiplication operator with monomial symbol in the Fock space. The fourth chapter explores the similarity and reducing subspaces of a class of multiplication operator induced by monomial symbol in the Sobolev disc algebra. The fifth chapter addresses the algebra matrix and similarity classification of certain Cowen-Douglas operators.The theme of the book is straightforward. Its contents can be comfortably understood by readers with a background in single-variable complex analysis and basic knowledge of operator theory.Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . IIICHAPTER 1Operator on the Bergman Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11.1 Similarity Invariant of Analytic Toeplitz Operators . . . . . . . . . . . . . . . 11.2 Commutant of Analytic Toeplitz Operators. . . . . . . . . . . . . . . . . . . . . 171.3 Compactness of a Class of Radial Operators . . . . . . . . . . . . . . . . . . . . 311.4 Similarity of a Class of Multiplication Operators . . . . . . . . . . . . . . . . . 421.5 n-Berezin Transform and Radial Operator . . . . . . . . . . . . . . . . . . . . . . 571.6 A Class of Hilbert–Schmidt Operators on the Harmonic Bergman Space . . .. . . .. 711.7 The Operator Mzn1zn2 on Subspaces of Bergman Spaces over the Biannulus .. . . . . . . . . 831.8 Local Quasi-Similarity and Reducing Subspaces of Multiplication Operator . . ... . . . . . 971.9 Quasi-Affinity and Reducing Subspaces of Multiplication Operator . . . 1061.10 Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115CHAPTER 2Operator on the Dirichlet Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1172.1 Similarity and Commutant of a Class of Multiplication Operators . . . . 1172.2 The Properties of Canonical Solution Operator to @ . . . . . . . . . . . . . . 1312.3 Compactness of Hankel Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1442.4 Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 158CHAPTER 3Operator on the Fock Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1613.1 Quasi-Similarity and Reducing Subspaces of Multiplication Operator . 1613.2 The Norm of Hankel Operator Restricted to the Fock Space . . . . . . . . 1683.3 Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176CHAPTER 4Operator on the Sobolev Disk Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1794.1 Similarity and Reducing Subspaces of Multiplication Operator . . . . . . 1794.2 Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185CHAPTER 5Operator on Banach Algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1875.1 Algebra Matrix and Similarity Classification of Operators . . . . . . . . . . 1875.2 Remarks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201List of Symbols and Notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207
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Affiche du document Using Physical Science Gadgets and Gizmos, Grades 6-8

Using Physical Science Gadgets and Gizmos, Grades 6-8

Matthew Bobrowsky

1h40min30

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134 pages. Temps de lecture estimé 1h40min.
What student—or teacher—can resist the chance to experiment with Rocket Launchers, Sound Pipes, Drinking Birds, Dropper Poppers, and more? The 35 experiments in Using Physical Science Gadgets and Gizmos, Grades 6–8, cover topics including pressure and force, thermodynamics, energy, light and color, resonance, and buoyancy. The authors say there are three good reasons to buy this book: 1. To improve your students’ thinking skills and problem-solving abilities. 2. To get easy-to-perform experiments that engage students in the topic. 3. To make your physics lessons waaaaay more cool. The phenomenon-based learning (PBL) approach used by the authors—two Finnish teachers and a U.S. professor—is as educational as the experiments are attention-grabbing. Instead of putting the theory before the application, PBL encourages students to first experience how the gadgets work and then grow curious enough to find out why. Students engage in the activities not as a task to be completed but as exploration and discovery. The idea is to help your students go beyond simply memorizing physical science facts. Using Physical Science Gadgets and Gizmos can help them learn broader concepts, useful thinking skills, and science and engineering practices (as defined by the Next Generation Science Standards). And—thanks to those Sound Pipes and Dropper Poppers—both your students and you will have some serious fun.
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Affiche du document Patterns and the Plant World, Grade 1

Patterns and the Plant World, Grade 1

Carla C. Johnson

2h01min30

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162 pages. Temps de lecture estimé 2h01min.
What if you could challenge your first graders to relate changes in seasonal weather patterns to changes in the plant world using a container garden? With this volume in the STEM Road Map Curriculum Series, you can! Patterns and the Plant World outlines a journey that will steer your students toward authentic problem solving while grounding them in integrated STEM disciplines. As are the other volumes in the series, this book is designed to meet the growing need to infuse real-world learning into K–12 classrooms. The book is an interdisciplinary module that uses project- and problem-based learning to help young children make discoveries about a range of natural phenomena. Students will draw on Earth and environmental science, mathematics, engineering, English language arts, and social studies to do the following: • Explore how Earth’s movement around the Sun affects the planet’s regional weather patterns. • Observe the changes in plant life that come with the changing seasons. • Use the steps of the engineering design process (EDP) to design and create a class garden for the Container Garden Design Challenge. • Design an observation notebook to record data about their garden, with an emphasis on data collection, measurement, and presenting numerical data in graphic form. The STEM Road Map Curriculum Series is anchored in the Next Generation Science Standards, the Common Core State Standards, and the Framework for 21st Century Learning. In-depth and flexible, Patterns and the Plant World can be used as a whole unit or in part to meet the needs of districts, schools, and teachers who are charting a course toward an integrated STEM approach.
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Affiche du document Wind Energy, Grade 5

Wind Energy, Grade 5

Carla C. Johnson

2h55min30

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234 pages. Temps de lecture estimé 2h55min.
What if you could challenge your fifth graders to develop an economical, eco-friendly wind farm? With this volume in the STEM Road Map Curriculum Series, you can! Wind Energy outlines a journey that will steer your students toward authentic problem solving while grounding them in integrated STEM disciplines. The series is designed to meet the growing need to infuse real-world learning into K–12 classrooms. This book is an interdisciplinary module that uses project- and problem-based learning to investigate the interactions of Earth’s systems, including geography, weather, and wind. Your students will • Study U.S. geography, weather patterns, the economics of wind energy, and issues around the use of wind turbines as an energy source. • Learn about how Earth’s spheres—including the lithosphere, hydrosphere, atmosphere, and biospheres—interact and how to observe and measure them. • Be challenged to develop a wind farm. Working in teams, they will analyze the wind energy potential of a possible location. Then, they will create a proposal that considers the wind farm’s cost, energy production, and environmental impact. • Deliver their presentations to garner support from the wind farm’s surrounding community and potential investors. The STEM Road Map Curriculum Series is anchored in the Next Generation Science Standards, the Common Core State Standards, and the Framework for 21st Century Learning. In-depth and flexible, Wind Energy can be used as a whole unit or in part to meet the needs of districts, schools, and teachers who are charting a course toward an integrated STEM approach.
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Affiche du document Swing Set Makeover, Grade 3

Swing Set Makeover, Grade 3

Carla C. Johnson

3h06min45

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249 pages. Temps de lecture estimé 3h7min.
What if you could challenge your third graders to design a swing set that’s safe but still lots of fun? With this volume in the STEM Road Map Curriculum Series, you can! Swing Set Makeover outlines a journey that will steer your students toward authentic problem solving while grounding them in integrated STEM disciplines. As are the other volumes in the series, this book is designed to meet the growing need to infuse real-world learning into K–12 classrooms. The book is a four-lesson interdisciplinary module that uses project- and problem-based learning. Students will draw on physics, mathematics, engineering, English language arts, and social studies to do the following: • Compare swing set designs for both safety and fun factors. • Recognize gravity and friction as forces; evaluate the forces that affect both children’s bodies and swing sets on the playground; and spot ways these forces play into design challenges. • Use the engineering design process to create alternative shapes and designs for a swing set. • Collect data using mathematical tools and record data with line plots and bar graphs. • Build models of their proposed designs and write blogs to summarize the improvements that maximize playground fun while minimizing risks. The STEM Road Map Curriculum Series is anchored in the Next Generation Science Standards, the Common Core State Standards, and the Framework for 21st Century Learning. In-depth and flexible, this resource can be used as a whole unit or in part to meet the needs of districts, schools, and teachers who are charting a course toward an integrated STEM approach.
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Affiche du document Uncovering Student Ideas in Physical Science, Volume 3

Uncovering Student Ideas in Physical Science, Volume 3

Page Keeley

2h40min30

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214 pages. Temps de lecture estimé 2h40min.
Have you been wanting to learn more about what your students know (or think they know) about major concepts in matter and energy? Have you been wishing for formative assessment tools in both English and Spanish? Then this is the book you’ve been waiting for. Like the other 10 books in the bestselling Uncovering Student Ideas in Science series, Uncovering Student Ideas in Physical Science, Volume 3 does the following: • Presents engaging questions, also known as formative assessment probes. The 32 probes in this book are designed to uncover what students know—or think they know—about the concept of matter and particle model of matter; properties of matter; classifying matter, chemical properties, and chemical reactions; and nuclear processes and energy. The probes will help you uncover students’ existing beliefs about everything from a particle model of matter to ways of describing energy. • Offers field-tested teacher materials that provide the best answers along with distracters designed to reveal conceptual misunderstandings that students commonly hold. Since the content is explained in clear, everyday language, teachers can improve their own understanding of the science they teach. • Is convenient and saves you time. The probes are short, easy-to-administer activities for speakers of both English and Spanish that come ready to reproduce. In addition to explaining the science content, the teacher materials include connections to A Framework for K–12 Science Education and the Next Generation Science Standards, provide summaries of the research on students’ ideas, and suggest grade-appropriate instructional methods for addressing students’ ideas. Uncovering Student Ideas in Physical Science, Volume 3 has the potential to help you transform your teaching. As the authors write in the book’s introduction, “When teachers take the time to uncover [existing] ideas, understand where they came from, and make instructional decisions that will help students give up their strongly held ideas in favor of scientific ways of thinking, they are taking an important first step in teaching for conceptual understanding.”
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Affiche du document Uncovering Student Ideas in Physical Science, Volume 2

Uncovering Student Ideas in Physical Science, Volume 2

Page Keeley

1h48min45

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145 pages. Temps de lecture estimé 1h49min.
If you and your students can’t get enough of a good thing, Volume 2 of Uncovering Student Ideas in Physical Science is just what you need. The book offers 39 new formative assessment probes, this time with a focus on electric charge, electric current, and magnets and electromagnetism. It can help you do everything from demystify electromagnetic fields to explain the real reason balloons stick to the wall after you rub them on your hair. Like the other eight wildly popular books in the full series, Uncovering Student Ideas in Physical Science, Volume 2: • Provides a collection of engaging questions, or formative assessment probes. Each probe in this volume is designed to uncover what students know—or think they know—about electric or magnetic phenomena or identify misunderstandings they may develop during instruction. • Offers field-tested teacher materials that provide “best answers” along with distracters designed to reveal misconceptions that students commonly hold. • Is easy to use by time-starved teachers like you. The new probes are short, easy-to-administer activities that come ready to reproduce. In addition to explaining the science content, the teacher materials note links to national standards and suggest grade-appropriate ways to present material so students will learn it accurately. By helping you detect and then make sound instructional decisions to address students’ misconceptions, this new volume has the potential to transform your teaching.
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Affiche du document Investigating Environmental Changes, Grade 2

Investigating Environmental Changes, Grade 2

Erin Peters-Burton

2h12min45

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177 pages. Temps de lecture estimé 2h13min.
What if you could challenge your second graders to design an outdoor STEM classroom with a butterfly garden, birdbath, and sundial? With this volume in the STEM Road Map Curriculum Series, you can! Investigating Environmental Changes outlines a journey that will steer your students toward authentic problem solving while grounding them in integrated STEM disciplines. As are the other volumes in the series, this book is designed to meet the growing need to infuse real-world learning into K–12 classrooms. This interdisciplinary module uses project- and problem-based learning to help young children make discoveries about a range of natural and human-created phenomena. Building the outdoor classroom will help students learn about changes in the natural environment that are associated with the Earth’s movement around the Sun, including plant and animal life cycles. They will draw on life, Earth and environmental science, the engineering design process, mathematics, and English language arts to do the following: • Develop a proposal for their outdoor classroom using persuasive language. • Devise a data collection plan to analyze environmental changes over time. • Explore local weather patterns and make connections among the patterns, seasons, and plant life cycles. • Learn about recycling, including sorting and tracking recycled materials. • Create works of fiction incorporating their outdoor STEM classroom. The STEM Road Map Curriculum Series is anchored in the Next Generation Science Standards, the Common Core State Standards, and the Framework for 21st Century Learning. In-depth and flexible, Investigating Environmental Changes can be used as a whole unit or in part to meet the needs of districts, schools, and teachers who are charting a course toward an integrated STEM approach.
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Affiche du document Using Physics Gadgets and Gizmos, Grades 9-12

Using Physics Gadgets and Gizmos, Grades 9-12

Mikko Korhonen

2h21min45

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189 pages. Temps de lecture estimé 2h22min.
What student—or teacher—can resist the chance to experiment with Rocket Launchers, Drinking Birds, Dropper Poppers, Boomwhackers, Flying Pigs, and more? The 54 experiments in Using Physics Gadgets and Gizmos, Grades 9–12, encourage your high school students to explore a variety of phenomena involved with pressure and force, thermodynamics, energy, light and color, resonance, buoyancy, two-dimensional motion, angular momentum, magnetism, and electromagnetic induction. The authors say there are three good reasons to buy this book: 1. To improve your students’ thinking skills and problem-solving abilities 2. To acquire easy-to-perform experiments that engage students in the topic 3. To make your physics lessons waaaaay more cool The phenomenon-based learning (PBL) approach used by the authors—two Finnish teachers and a U.S. professor—is as educational as the experiments are attention-grabbing. Instead of putting the theory before the application, PBL encourages students to first experience how the gadgets work and then grow curious enough to find out why. Students engage in the activities not as a task to be completed but as exploration and discovery. The idea is to help your students go beyond simply memorizing physics facts. Using Physics Gadgets and Gizmos can help them learn broader concepts, useful critical-thinking skills, and science and engineering practices (as defined by the Next Generation Science Standards). And—thanks to those Boomwhackers and Flying Pigs—both your students and you will have some serious fun.
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Affiche du document Harnessing Solar Energy, Grade 4

Harnessing Solar Energy, Grade 4

Carla C. Johnson

2h46min30

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222 pages. Temps de lecture estimé 2h46min.
What if you could challenge your fourth graders to use solar energy to provide the world with clean water? With this volume in the STEM Road Map Curriculum Series, you can! Harnessing Solar Energy outlines a journey that will steer your students toward authentic problem solving while grounding them in integrated STEM disciplines. The series is designed to meet the growing need to infuse real-world learning into K–12 classrooms. This book is an interdisciplinary module that uses project- and problem-based learning to investigate energy and energy sources, with a focus on solar energy and water scarcity. Your students will • Investigate potential and kinetic energy, solar energy, the greenhouse effect, and salinity. Students will examine solar energy’s potential and limitations while being introduced to the concept of scarce resources and potable water. • Make a social studies connection by investigating water scarcity around the world. Teams will choose regions facing water scarcity and research the areas’ geography, climate, and cultures. • Use their understanding of solar energy, desalination, and the engineering design process (EDP) to design a passive solar desalination device in the Water for All Challenge. Teams will also create public service announcements about the need for their devices in the water-scarce countries they researched. • Take part in a Water Conservation Expo to exhibit their understanding of solar energy, water scarcity, and desalination worldwide. The STEM Road Map Curriculum Series is anchored in the Next Generation Science Standards, the Common Core State Standards, and the Framework for 21st Century Learning. In-depth and flexible, Harnessing Solar Energy can be used as a whole unit or in part to meet the needs of districts, schools, and teachers who are charting a course toward an integrated STEM approach.
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Affiche du document Radioactivity, Grade 11

Radioactivity, Grade 11

Carla C. Johnson

2h29min15

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199 pages. Temps de lecture estimé 2h29min.
What if you could challenge your 11th graders to figure out the best response to a partial meltdown at a nuclear reactor in fictional Gammatown, USA? With this volume in the STEM Road Map Curriculum Series, you can! Radioactivity outlines a journey that will steer your students toward authentic problem solving while grounding them in integrated STEM disciplines. As are the other volumes in the series, this book is designed to meet the growing need to infuse real-world learning into K–12 classrooms. This interdisciplinary module uses project- and problem-based learning to help students understand the debate over the safety and efficiency of nuclear power for meeting the country’s energy demands. Teams of students will apply what they learn about the science and history of nuclear energy to convey the views of particular stakeholder groups and propose solutions to the crisis. At the end of the module, students will be able to do the following: • Explain how radioactive decay, nuclear fission, and nuclear fusion work.• Model nuclear fission, create computer-generated simulations, and perform mathematical computations. • Calculate the energy yield of an individual nuclear event (decay, fission, and fusion) and use exponential functions to represent chain reactions. • Identify the safety and environmental concerns involved in using nuclear fission in power plants. • Explain the history of nuclear energy use and identify key milestones that have influenced society’s perspectives on it. • Make a presentation about solving the crisis from their stakeholder group’s perspective. The STEM Road Map Curriculum Series is anchored in the Next Generation Science Standards, the Common Core State Standards, and the Framework for 21st Century Learning. In-depth and flexible, Radioactivity can be used as a whole unit or in part to meet the needs of districts, schools, and teachers who are charting a course toward an integrated STEM approach.
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Affiche du document Natural Hazards, Grade 2

Natural Hazards, Grade 2

Erin Peters-Burton

2h24min00

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192 pages. Temps de lecture estimé 2h24min.
What if you could challenge your second graders to help communities prepare for disasters ranging from floods and wildfires to earthquakes and hurricanes? With this volume in the STEM Road Map Curriculum Series, you can! Natural Hazards outlines a journey that will steer your students toward authentic problem solving while grounding them in integrated STEM disciplines. Like the other volumes in the series, this book is designed to meet the growing need to infuse real-world learning into K–12 classrooms. This interdisciplinary module uses project- and problem-based learning to help young children explore cause and effect. Working in teams, your second graders will draw on science, English language arts, mathematics, social studies, and the engineering design process to do the following: • Identify various natural hazards, their basic causes, and how they affect people, animals, and communities. • Model natural hazards. • Identify features of structures designed to withstand earthquakes and then construct models of those structures. • Learn about predicting weather, including measuring, calculating, and evaluating numbers involved in probabilities. • Create their own “Weather Tall Tales.” • Identify ways that people and communities can prepare for natural hazards and then communicate about the hazards to a target audience. The STEM Road Map Curriculum Series is anchored in the Next Generation Science Standards, the Common Core State Standards, and the Framework for 21st Century Learning. In-depth and flexible, Natural Harzards can be used as a whole unit or in part to meet the needs of districts, schools, and teachers who are charting a course toward an integrated STEM approach.
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Affiche du document Using Physical Science Gadgets and Gizmos, Grades 3-5

Using Physical Science Gadgets and Gizmos, Grades 3-5

Mikko Korhonen

1h33min45

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125 pages. Temps de lecture estimé 1h34min.
What student—or teacher—can resist the chance to experiment with Velocity Radar Guns, Running Parachutes, Super Solar Racer Cars, and more? The 30 experiments in Using Physical Science Gadgets and Gizmos, Grades 3–5, let your elementary school students explore a variety of phenomena involved with speed, friction and air resistance, gravity, air pressure, electricity, electric circuits, magnetism, and energy. The authors say there are three good reasons to buy this book: 1. To improve your students’ thinking skills and problem-solving abilities. 2. To get easy-to-perform experiments that engage students in the topic. 3. To make your physics lessons waaaaay more cool. The phenomenon-based learning (PBL) approach used by the authors—two Finnish teachers and a U.S. professor—is as educational as the experiments are attention-grabbing. Instead of putting the theory before the application, PBL encourages students to first experience how the gadgets work and then grow curious enough to find out why. Working in groups, students engage in the activities not as a task to be completed but as exploration and discovery using curiosity-piquing devices and doohickeys. The idea is to motivate young scientists to go beyond simply memorizing science facts. Using Physical Science Gadgets and Gizmos can help them learn broader concepts, useful thinking skills, and science and engineering practices (as defined by the Next Generatio What student—or teacher—can resist the chance to experiment with Velocity Radar Guns, Running Parachutes, Super Solar Racer Cars, and more? The 30 experiments in Using Physical Science Gadgets and Gizmos, Grades 3–5, let your elementary school students explore a variety of phenomena involved with speed, friction and air resistance, gravity, air pressure, electricity, electric circuits, magnetism, and energy.
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