This short video and interactive assessment activity is designed to teach second graders an overview of addition (sums to 1,000).

The main objective of this video lesson is to bring the students' attention to the importance of basic and natural sciences in our lives. The lesson will introduce a topic (sustainable energy) that is related mainly to chemistry and is not usually covered directly in a high school curriculum. We hope that this lesson will show students how important and useful the natural and basic sciences are not only for our daily lives, but also for sustainable development. The lesson will present creative and challenging ideas on the topic of alternative energies. It is hoped that students will be inspired by the introduction of these ideas, and that they will develop the confidence to come up with creative ideas themselves. Background for this lesson is based on fundamental concepts in chemistry (mainly), biology, physics and environmental science.

This art history video discussion examines the Sutton Hoo Ship Burial, c. 700 (British Museum, London). The exhibit includes multiple bronze, gold and silver objects of Anglo Saxon origin, found in Suffolk, England, including: a helmet, sceptre, sword, hanging bowl, bowls and spoons, shoulder clasps, a belt buckle, and purse lid.

This art history video discussion examines Edvard Munch's "The Storm", 1893, oil on canvas (MoMA).

This learning video presents an introduction to graph theory through two fun, puzzle-like problems: ''The Seven Bridges of Konigsberg'' and ''The Chinese Postman Problem''. Any high school student in a college-preparatory math class should be able to participate in this lesson. Materials needed include: pen and paper for the students; if possible, printed-out copies of the graphs and image that are used in the module; and a blackboard or equivalent. During this video lesson, students will learn graph theory by finding a route through a city/town/village without crossing the same path twice. They will also learn to determine the length of the shortest route that covers all the roads in a city/town/village. To achieve these two learning objectives, they will use nodes and arcs to create a graph and represent a real problem.

This short video and interactive assessment activity is designed to teach second graders an overview of before and after (time).

This short video and interactive assessment activity is designed to teach third graders an overview of before and after (time).

This short video and interactive assessment activity is designed to teach fourth graders about telling the time - before and after.

This art history video discussion examines the Temple of Portunus (formerly known as, Fortuna Virilis), travertine, tufa, and stucco, c. 120-80 B.C.E., Rome.

This short video and interactive assessment activity is designed to teach third graders an overview of tessellations.

This short video and interactive assessment activity is designed to give fourth graders an overview of tessellations.

This short video and interactive assessment activity is designed to give fifth graders an overview of tessellations.

Computability Theory deals with one of the most fundamental questions in computer science: What is computing and what are the limits of what a computer can compute? Or, formulated differently: ‰"What kind of problems can be algorithmically solved?‰" During the course this question will be studied. Firstly, the notion of algorithm or computing will be made precise by using the mathematical model of a Turing machine. Secondly, it will be shown that basic issues in computer science, like "Given a program P does it halt for any input x?" or "Given two program P and Q, are they equivalent?" cannot be solved by any Turing machine. This shows that there exist problems that are impossible to solve with a computer, the so-called "undecidable problems".

Doelstelling van dit college is een introductie te geven in de theorie van de Thermodynamica, een van de fundamentele werktuigbouwkunde vakken. De Thermodynamica behandelt energie vraagstukken en relaties tussen de eigenschappen van materialen. In dit college wordt voor een ingenieurs aanpak van de Thermodynamica gekozen: onderwerp van studie zijn systemen en hun interactie met de omgeving. Naast gesloten systemen krijgen open systemen veel aandacht. Thermodynamica wordt, in combinatie met stromingsleer en warmte- en stofoverdracht, ingezet om bijvoorbeeld automotoren, turbines, compressoren, pompen, elektriciteit opwekkinginstallaties, cryogenische-, koel- en klimaat-installaties en duurzame energieconversie installaties te analyseren en ontwerpen. De beginselen van de Thermodynamica maken het mogelijk om de ontwerpen van energie gerelateerde werktuigbouwkundige apparaten en systemen te optimaliseren voor het betreffende doel.

De thermodynamische relaties voor compressibele stoffen en de fasendiagrammen voor pure stoffen worden behandeld. Enkele voorbeelden van toestandsvergelijkingen worden behandeld (de viriaal vergelijking, vergelijkingen met twee constanten en vergelijkingen met meerdere constanten). De grootheden Helmholtz energie en Gibbs energie worden geintroduceerd. De Gibbs vergelijking is de basis om tot een beschrijving van evenwichten (van mengsels) te komen. De condities van evenwicht van pure componenten en van mengsels wordt afgeleidt. Uitgaande van de totale differentialen worden partiele afgeleide uit gedrukt in termen van thermodynamische grootheiden. Voor de berekening van processen, zo als compressie, expansie enz worden uitdrukkingen afgeleid voor delta h, delta s en delta u (waarbij delta voor de deviatie="departure" van ideaal gas gedrag staat). Het wordt getoond hoe deze uitdrukkingen (of dimensieloze diagrammen van deze grootheden) voor de berekening van processen gebruikt kunnen worden. Ook wordt de grootheid exergie gepresenteerd, een grootheid die gebaseerd is op de tweede hoofdwet van de thermodynamica, tezamen met enkele nuttige grootheden en hulpmiddelen voor het uitvoeren van exergie analyses (exergie verlies, exergie rendementen, waardediagram). In dit college wordt de definitie van exergie beperkt tot de thermo-mechanische exergie. Het principe van het stoomturbine kringproces wordt getoond en mogelijkheden voor de optimalisatie van dit kringproces worden besproken, zoals de keuze van stoomdruk en -temperatuur en de toepassing van stoomoververhitting en -herverhitting.

This lesson is an introductory topic in thermodynamics, on the conversion of energy. The aim of this video is to support students in visualizing the conversion of energy and its importance in real world applications. For this reason, everyday examples are used to help students see the conversion of energy around them. Energy conversion is explored through a simple example of generating electricity for lighting up a shadow puppetry play in a village. The chain process of energy conversion is illustrated until the end product of electricity. This example of electricity generation is further illustrated in an actual industrial setting by taking the viewers to a Power Plant, where viewers will see and hear the explanation of a mechanical engineer on the equipment used to produce electricity that we use in homes and businesses. This important concept of energy conversion is crucial for students to understand as a basis for learning other concepts in Thermodynamics.

This short video and interactive assessment activity is designed to teach third graders about determining unknown angles in composite figures.

This short video and interactive assessment activity is designed to teach fourth graders about determining unknown angles in composite figures.

This 10-minute video lesson shows that three points uniquely define a circle and that the center of a circle is the circumcenter for any triangle that the circle is circumscribed about.

This art history video discussion looks at Thutmose's "Model Bust of Queen Nefertiti", New Kingdom, 18th dynasty, c. 1340 BCE, limestone and plaster (Egyptian Museum and Papyrus Collection/Neues Museum, Berlin).