Elementary Statistics
Elementary Statistics is an introduction to data analysis course that makes use of graphical and numerical techniques to study patterns and departures from patterns. The student studies randomness with emphasis on understanding variation, collects information in the face of uncertainty, checks distributional assumptions, tests hypotheses, uses probability as a tool for anticipating what the distribution of data may look like under a set of assumptions, and uses appropriate statistical models to
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A Sense of Place
Place and Location are two of the five themes of geography and a natural starting point for a study of the Arctic and Antarctica. Location answers the question, "Where am I?" while the study of place asks, "What kind of a place is it?" and, "How does this place connect to my hometown?" This issue of Beyond Penguins and Polar Bears examines how you can introduce the Arctic and Antarctica and use science, geography, literacy, and technology to help your students compare and contrast these two dram
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Macro-AFM
Using the macro tabletop AFM simulators, students will investigate the surface features of various samples using contact, tapping and magnetic modes. The students will measure the amplitude of oscillation of reflected LASER light at known coordinates to map out the surface features of the sample. Data is then analyzed through Microsoft Excel to construct a surface plot of the sample for comparison.
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Introduction to Nanoscale Science: Surface Area to Volume Ratio Module
Many intriguing phenomena observed in the "nanoworld" can be attributed to the increase in the surface to volume ratio ( SVR ) at the nanoscale. Understanding the surface area effects to volume changes is thus crucial to the understanding of nanoscale phenomena and nanotechnology applications. As an introduction to the nanoworld, the major goals of this module are to (1) give students a feel for just how small the nanoscale is, (2) give students practice in mathematically communicating nanoscale
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Environmental Catalyst Module
In the Environmental Catalysis Module, a joint project with the Institute for Environmental Catalysis at Northwestern University, students learn what a catalyst is and become aware of the use of catalysis to promote environmental protection. Besides introducing the concept of catalysis, the module also focuses other issues such as catalytic selectivity, specificity, poisoning, condition optimization, and waste minimization. The first activity of the module introduces the concept of catalysis in
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Apples to Atoms
"Apples to Atoms" is a collection of activities focused on important concepts underlying nanoscience, developed for middle school science and math students. Each of the four chapters (Size and Scale, Measurement, Microscopy, and Surface Area to Volume Ratios) contains a series of linked activities, and readings which provide context for the concepts developed in the activities. Suggested assessment items are also included. The chapters are inter-related, but are designed so they may be taught in
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Thinking Systematically -- Grade 6 (Japan)
"Thinking Systematically" teaches students to find the value of two quantities that satisfy two conditions. Students are asked to determine the number of pencils and ballpoint pens bought if the total number of items purchased was 10 and the total price was 460 yen.
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The lesson was taught by Hideyuki Muramoto with support of Kazuyoshi Okubo. This 50-minute research lesson was presented at Sapporo City Maruyama Elementary School to a class of 40 third grade students. It is the fourth of a sequence of 13 lessons. The preceding lesson considered the product 20 times 3 and the children were encouraged to calculate the number of black circles in the array below. In the figure the total is (10 times 3) plus (10 times 3), which is 30+30, giving 60.
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Do I Have a Window Seat or an Aisle Seat? - Grade 5 (Japan)
This research lesson was taught by Yutaka Hase. The double period lesson was presented at Shinjuku-Kuritsu Ichigaya Elementary School to a class of 40 fifth grade students. It is the third of a sequence of 3 lessons. The main focus of this unit is helping students understand that whole numbers can be categorized into several sets through the instruction of even and odd numbers. In this lesson, for the expansion of the topic on even and odd numbers, the lesson planning group decided to include ca
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Classroom Innovations through Lesson Study
Classroom Innovations through Lesson Study is an APEC EDNET Project that aims to improve the quality of education in the area of Mathematics. This project is sponsored by APEC Members Japan and Thailand. The APEC-Tsukuba International Conference III was broadcast live from Tokyo, December 9-10, 2007. The project has produced useful papers describing mathematical thinking, lesson videos of classroom instruction. This project focuses on Lesson Study with the goal of improving the quality of educat
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Area of the Circle - Grade 5 (Japan)
This lesson teaches students how to calculate the area of a circle by cutting the circle into sectors and rearranging those sectors into approximate shapes with known areas, such as a parallelogram.
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Discover Babylon
Targeted at ages 8-14, Discover BabylonÂ© will use sophisticated video gaming strategies and realistic digital environments to engage the learner in challenges and mysteries that can only be solved through developing an understanding of Mesopotamian society, business practices, and trade.
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AP Statistics Curriculum 2007
This is an Internet-based E-Book for advanced-placement (AP) statistics educational curriculum. The E-Book is initially developed by the UCLA Statistics Online Computational Resource (SOCR), however, all statistics instructors, researchers and educators are encouraged to contribute to this effort and improve the content of these learning materials.
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Elementary Partial Differential Equations and Applications
This book grew out of a two-quarter sequence of undergraduate courses offered at the University of California (UCSB), for science majors, engineers and mathematicians. These courses along with a two-quarter sequence on ordinary differential equations (ODEs) and dynamical systems constitute the applied mathematics courses for the Program in Scientific Computations, a joint program between the mathematics department and the College of Engineering at UCSB.
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The Great Plant Escape
Each of the lessons in this program is interdisciplinary, designed to introduce students to plant science and increase their understanding of how foods grow. Activities enhance student's math, science, language arts, social studies, music and art. You have many options in this program. Choose any or all of the suggested activities for your class. Many activities are for students to work independently and some are for group work.
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A Course In Algebraic Number Theory
This is a text for a basic course in algebraic number theory.
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Where in the World? Understanding Latitude and Longitude
Students play a grid-based game and devise clues to help classmates locate spots on the globe. In doing so, they come to recognize the value of using latitude and longitude for identifying locations.
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Predicting the Greening of Spring with Red Emperor Tulips
As the earth revolves around the sun in its annual cycle we experience seasonal change. Where will spring arrive first? What kind of patterns will we see as the wave of spring progresses? Start in the fall to think about these questions, and make some predictions. Then in the spring revisit your predictions with each Journey North news update and real-time map.
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Predicting the Route of the Monarch's Spring Migration
As the monarchs pour out of Mexico in the spring, where do you think they will arrive first, and what pathway do you suppose they will travel? Think about this question and make some predictions as you watch the butterflies spread throughout their northern breeding range. Then form a hypothesis as to why the monarchs travel where they do.
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Practice With Latitude and Longitude
In this lesson students find their own homes on Google maps and determine their precise latitude and longitude coordinates. They learn how to pinpoint the location visually and then move north, east, south, or west on the map by changing latitude and longitude values.
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