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3-D Hydrogen Atom Probability Densitites
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The 3-D Hydrogen Atom Probability Densitites model simulates the probability density of the first few (n = 1, 2, and 3, and associated l and m values) energy eigenstates for the Hydrogen atom (the Coulomb potential). The main window shows the energy level diagram for the solutions to the Coulomb potential in three dimensions. States may be selected either by using the dropdown menu item or by using the energy level diagram and clicking a dark green level, with specific n, l, and m values) which will turn bright green and change the state shown in the 3d visualization window. The probability is shown with a 3d cloud, with higher probability shown as a darker sphere. The simulation uses either simple 3D or Java 3D (if installed) to render the view the probability densities. If Java 3D is not installed, the simulation defaults to simple 3D using Java. The 3-D Hydrogen Atom Probability Densitites model was created using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_qm_hydrogen3d.jar file will run the program if Java is installed.

Subject:
Computing and Information
Mathematics
Chemistry
Physics
Material Type:
Full Course
Interactive
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
Author:
Jose Ignacio Fernández Palop
50. Reasoning
Conditions of Use:
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This 24-min video includes 16 classroom vignettes that illustrate the central role of reasoning in mathematics. Students use a variety of models and strategies; they explain and justify their thinking and solutions. Teachers emphasize the importance of reasoning in the problem solving process.

Subject:
Education
Mathematics
Geometry
Material Type:
Teaching/Learning Strategy
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Annenberg/CPB
5 Great Pinterest Boards for Math
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This blog entry identifies five Pinterest boards for mathematics. Each board is represented by a picture, link, and brief description. This web blog contains a link to "10 Pinterest Boards Every Teacher Must Know About".

Subject:
Education
Mathematics
Algebra
Geometry
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Med Kharbach
5.NF Fractions on a Line Plot
Conditions of Use:
No Strings Attached
Rating

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: You and your partner will need fraction cards made from this set: Label the line-plot below with $\frac18$'s. Cut out and divide the cards evenly betwe...

Subject:
Education
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
A+ Click K-12 Math Test
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A+ Click is an interactive collection of more than 3700 math problems and answers for K-1 K-12 school program. It defines the personal level of math knowledge. You move up into the next level if you give 5 correct answers in a row. Practice makes perfect.

Subject:
Mathematics
Algebra
Geometry
Material Type:
Activity/Lab
Assessment
Game
Lecture Notes
Provider:
aplusclick
NSDL Staff
Provider Set:
Individual Authors
Mathematics Gateways and Resources
Author:
Igor Kokcharov
Accumulating DNA mutations through time, Mark StonekingSite: DNA Interactive (www.dnai.org)
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Interviewee: Mark Stoneking DNAi Location:Applications>Human origins>gene genealogy>A molecular clock? Geneticist Mark Stoneking talks about the difficulties of measuring time by mutations.

Subject:
Education
Life Science
Mathematics
Chemistry
Material Type:
Lecture
Provider:
BiosciEdNet (BEN): Digital Library Portal for Teaching and Learning in the Biological Sciences
Provider Set:
BiosciEdNet (BEN): Digital Library Portal for Teaching and Learning in the Biological Sciences
Author:
David Micklos (Cold Spring Harbor Laboratory;DNA Learning Center X-AUDIENCE)
Elof Carlson (SUNY at Stony Brook;Biology Department X-AUDIENCE)
Garland Allen (Washington University at St. Louis;Biology Department X-AUDIENCE)
Jan Witkowski (Cold Spring Harbor Laboratory;Banbury Center X-AUDIENCE)
Paul Lombardo (University of Virginia;Center for Biomedical Ethics X-AUDIENCE)
Steven Selden (University of Maryland;Education Policy and Leadership Department X-AUDIENCE)
Achi: A Strange Game of Tic Tac Toe
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In this game, learners strategize to be the first player to make three in a row. This game is similar to the classic Tic-Tac-Toe game, but learners slide game pieces along lines, instead of filling in boxes with X's or O's. Learners will practice mathematical thinking skills like strategizing, predicting and problem solving. This activity guide contains sample questions to ask, literary connections, extensions, and alignment to local and national standards.

Subject:
Education
Mathematics
Algebra
Material Type:
Activity/Lab
Game
Lesson Plan
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Children's Museum of Houston
Children's Museum Of Houston
ExxonMobil
Active Participation: Using Math Templates
Conditions of Use:
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This web page presents information about using math templates during instruction to keep each student actively involved and to allow the teacher to informally assess each student's proficiency with the skills and concepts addressed throughout the lesson. The web page provides suggestions for using templates and explanations for why templates should be used. There is a link to the template library, which includes available templates (in PDF format) for the following categories: Number and Operation, Patterns and Algebra, Geometry and Measurement, Data Analysis and Probability, Discrete Math and Logic and Problem Solving.

Subject:
Education
Mathematics
Algebra
Geometry
Material Type:
Teaching/Learning Strategy
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Terry Kawas
Adding It Up: Helping Children Learn Mathematics
Conditions of Use:
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This 440-page report explores how students in pre-K through grade 8 learn mathematics, with a focus on number and operations, and recommends how teaching, curricula, and teacher education should change to improve mathematics learning. (A 39-page summary, Helping Children Learn Mathematics, is catalogued separately.) The authors identify five interdependent components of mathematical proficiency and describe how students develop this proficiency. The report presents a portrait of mathematics learning: research findings on what children know about numbers before they arrive in pre-K and the implications for instruction; details on the processes by which students acquire mathematical proficiency; what is known from research about teaching for mathematics proficiency and developing proficiency in teaching. Visitors to this website may read the full text online, download a copy (pdf), or purchase a hard copy.

Subject:
Computing and Information
Engineering
Education
History, Law, Politics
Mathematics
Algebra
Geometry
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Jeremy Kilpatrick, Jane Swafford, Bradford Findell
Mathematics Learning Study Committee, National Research Council
Against All Odds: Inside Statistics
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With an emphasis on "doing" statistics, this series goes on location to help uncover statistical solutions to the puzzles of everyday life. Learn how data collection and manipulation Ń paired with intelligent judgement and common sense Ń can lead to more informed decision-making. This series can also be used as a resource for teacher professional development. A video instructional series on statistics for college and high school classrooms and adult learners; 26 half-hour video programs.

Subject:
Education
Mathematics
Material Type:
Lecture
Provider:
Annenberg Learner
Internet Scout Project
Provider Set:
Internet Scout Project
Alphabits
Conditions of Use:
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In this math lesson, learners apply the concepts of ratios and percentages to the distribution of letters contained in a box of AlphabitsŒŹ cereal. Each learner is given a sample of cereal from the cereal box. Learners tabulate the number of times each letter of the alphabet occurs and the total number of letters included in their sample. Using this information, learners turn their totals into fractions, ratios, and percents. Next, all of the individual totals are compiled into class totals. As with the individual totals, these class totals are used to form fractions, ratios and percents. Based on their mathematical results, learners make observations and reflect on the process used in the investigations.

Subject:
Mathematics
Physics
Material Type:
Activity/Lab
Lesson Plan
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
PBS
US Department of Education
Artificial Intelligence
Rating

This activity explores what it means for a computer to be intelligent and introduces the topic of what a computer program is and how everything computers do simply involves following instructions written by (creative) computer programmers. Learners interact with a piece of paper that contains rules for playing a perfect game of noughts-and-crosses (tic-tac-toe). The activity contains some thought provoking (and humorous) discussion questions. Explanation, variations, extensions, and resources are included in the PDF.

Subject:
Computing and Information
Engineering
Technology
Education
Life Science
Mathematics
Material Type:
Activity/Lab
Game
Lesson Plan
Simulation
Provider:
Computer Science Unplugged
Science and Math Informal Learning Educators (SMILE)
Provider Set:
Computer Science Unplugged
SMILE Pathway: Science and Math Activities in One Search
Author:
Brian Mason Scientific and Technical Trust
Computer Science Unplugged
Google Inc.
Paul Curzon
Asset Exchange Model Package
Conditions of Use:
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The EjsS Asset Exchange Model Package contains JavaScript models to investigate the the transfer of wealth in a simple economic model consisting of N buyers and sellers, known as agents, who spend their time buying and selling goods at a yard sale. In this economic model, two agents A and B are chosen at random and goods are exchanged. If the price of the item is correct, neither agent gains or looses wealth but this is uninteresting and unrealistic. In a realistic transaction an agent can either pay too much or get a bargain so that one agent becomes slightly richer while the other agent becomes poorer. What happens to the wealth of agent wA if this process is repeated many times and if we assume that the agent receiving the bargain is chosen at random so that sometimes agent A gains and sometimes agent A looses in the transaction. In other words, neither agent is always shrewd or always gullible so that all agents have an equal chance of getting rich. Does this model produce an equitable distribution of wealth? The EjsS Asset Exchange Model Package was developed using the Easy Java/JavaScript Simulations (EjsS) version 5 authoring tool. Although EjsS is a Java program, it can create stand alone JavaScript programs that run in almost any PC or tablet.

Subject:
Mathematics
Physics
Material Type:
Full Course
Interactive
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
Author:
Harvey Gould
Jan Tobochnik
Wolfgang Christian
The Bakery Shop
Conditions of Use:
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Rating

In this fun online game, learners will run their own virtual bakery in order to recognize that people have many wants, that wants are unlimited, and that resources are scarce. The goal is to enable students to explain how resources can be used in various ways, identify goods and services, and recognize money as the generally accepted medium of exchange for goods and services.

Subject:
Education
Mathematics
Material Type:
Activity/Lab
Game
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Advanced Computing Center for the Arts and Design (ACCAD) at The Ohio State University
COSI
eTech Ohio
Ohio Council on Economic Education
WOSU Public Media
Ballot Experiment
Conditions of Use:
No Strings Attached
Rating

This resource consists of a Java applet and expository text. The applet is a simulation of the ballot experiment: The votes in an election are randomly counted. The event of interest is that the winning candidate is always ahead in the vote count.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Bank It!
Conditions of Use:
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Rating

This simple but open-ended math game introduces basic probability concepts using coins and dice. Players roll the dice and collect coins to match the number rolled. Be careful, though; if you roll a 1, you lose your coins. The player to gather the most money wins.

Subject:
Mathematics
Material Type:
Activity/Lab
Game
Lesson Plan
Provider:
Science and Math Informal Learning Educators (SMILE)
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Author:
Children's Museum of Houston
Children's Museum Of Houston
ExxonMobil
Bedtime Math app
Conditions of Use:
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This iOS app for the online site Bedtime Math (cataloged separately) offers a problem of day as well as a database of over 400 problems that cover a range of topics that the user may explore. Each problem of the day includes background information and four levels of problem solving options (Wee Ones, Little Kids, Big Kids, and the Sky's the Limit). Each problem includes an answer.

Subject:
Education
Mathematics
Algebra
Geometry
Material Type:
Lecture Notes
Provider:
Maryland Public Television
Provider Set:
Mathlanding: Elementary Mathematics Pathway
Author:
Bedtime Math Foundation Inc.
Bertrand's Experiment
Conditions of Use:
No Strings Attached
Rating

This resource consists of a Java applet and expository text. The applet is a simulation of Bertrand's experiment: a random chord on a circle The event of interest is whether the length of the chord is larger than the length of the inscribed equilateral triangle. Three models for generating the random chord can be used.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Beta Coin Experiment
Conditions of Use:
No Strings Attached
Rating

This resource consists of a Java applet and expository text. The applet illustrates Bayesian estimation of the probability of heads for a coin. The prior beta distribution, true probability of heads, and the sample size can be specified. The applet shows the posterior beta distribution.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist
Beta Estimate Experiment
Conditions of Use:
No Strings Attached
Rating

This resource consists of a Java applet and expository text. The applet simulates a random sample from a beta distribution, and computes standard point estimates of the left and right parameters. The bias and mean square error are also computed.

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Interactive
Simulation
Provider:
University of Alabama in Huntsville
Provider Set:
Virtual Laboratories in Probability and Statistics
Author:
Kyle Siegrist