3.2 Keeping a record: a learning file
This unit explores reasons for studying mathematics, practical applications of mathematical ideas and aims to help you to recognise mathematics when you come across it. It introduces the you to the graphics calculator, and takes you through a series of exercises from the Calculator Book, Tapping into Mathematics With the TI-83 Graphics Calculator. The unit ends by asking you to reflect on the process of studying mathematics. In order to complete this unit you will need to have obtained a Texas I
Author(s): The Open University

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5 Symmetry in three dimensions
We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

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Acknowledgements
In our everyday lives we use we use language to develop ideas and to communicate them to other people. In this unit we examine ways in which language is adapted to express mathematical ideas.
Author(s): The Open University

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Introduction
In our everyday lives we use we use language to develop ideas and to communicate them to other people. In this unit we examine ways in which language is adapted to express mathematical ideas.
Author(s): The Open University

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Egyptian mathematics
The Egyptians are known for being ahead of their time in comparison to some civilisations that came after them. This unit looks at how the Egyptians solved mathematical problems in everyday life and the technology they used. An understanding of this area has only been possible following the translation of the Rosetta Stone.
Author(s): The Open University

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Global Eradication of Infectious Diseases: Can 'Not Very Much' undermine the goal of 'None at All'?
Despite the well-publicised success of global smallpox eradication, 'zero' remains an elusive goal for the majority of vaccine-preventable diseases, making reduced pathogen circulation, or direct protection of the vulnerable more achievable strategies. We will consider potential deleterious consequences of reduced infection transmission, in the context of diseases such as influenza and pertussis, where immunity following natural exposure may be superior to that following immunisation. Implicati
Author(s): Jodie McVernon

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Stability and Complexity in Model Banking Systems
The recent banking crises have made it clear that increasingly complex strategies for managing risk in individual banks and investment funds (pension funds, etc) has not been matched by corresponding attention to overall systemic risks. Simple mathematical caricatures of 'banking ecosystems', which capture some of the essential dynamics and which have some parallels (along with significant differences) with earlier work on stability and complexity in ecological food webs, have interesting implic
Author(s): Robert May

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Learning to Think Mathematically
Concerned that most students leave college thinking of mathematics as a fixed body of knowledge to be memorized, Cooperstein designed a new course to help students learn to think mathematically for themselves. This website serves as a course portfolio that documents the new class, Introduction to Mathematical Problem Solving. The principal activity in the class involved students working on and discussing novel problems which required them to formulate experiments, work out cases, look for patter
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DNA Microarrays: Background, Interactive Databases, and Hands-on Data Analysis
DNA microarrays are influencing many areas of biology. DNA microarrays allow investigators to measure simultaneously the activity of every gene in a genome. This paper provides the reader with background information, a set of interactive questions, and most importantly, free software (MAGIC Tool) for use in the undergraduate curriculum. MAGIC Tool (www.bio.davidson.edu/MAGIC) resources allow the user to understand how DNA microarray data are analyzed by providing raw data, instructions, mathemat
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Het koningshuis
koning.jpg

Een werkbundel over de koningen van België. Leerlingen vullen de identiteitskaart aan van koningen die regeerden over België. Ze vullen ook een gatentekst aan en komen zo allerlei zaken te weten over het koningshuis.


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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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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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18.014 Calculus with Theory I (MIT)
18.014, Calculus with Theory, covers the same material as 18.01 (Calculus), but at a deeper and more rigorous level. It emphasizes careful reasoning and understanding of proofs. The course assumes knowledge of elementary calculus. Topics: Axioms for the real numbers; the Riemann integral; limits, theorems on continuous functions; derivatives of functions of one variable; the fundamental theorems of calculus; Taylor's theorem; infinite series, power series, rigorous treatment of the elementary f
Author(s): Munkres, James,Lachowska, Anna

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Private Universe Project in Mathematics: Workshop 2. Are You Convinced?
Proof making is one of the key ideas in mathematics. Looking at teachers and students grappling with the same probability problem, we see how two kinds of proof—proof by cases and proof by induction—naturally grow out of the need to justify and convince others.,Englewood, New Jersey—Teachers Workshop Englewood, a town with unsatisfactory student test scores, is implementing a long-term project to improve math achievement. As part of a professional development workshop designed in part to give
Author(s): Harvard-Smithsonian Center for Astrophysics

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Smithsonian Institution-Astrophysical Observatory "All Rights Reserved"

The Great Magnet, the Earth
This site provides a non-mathematical introduction to the magnetism of the Earth, the Sun, the planets and their environments, following a historical thread. In 1600, four hundred years ago William Gilbert, later physician to Queen Elizabeth I of England, published his great study of magnetism, "De Magnete"--"On the Magnet". It gave the first rational explanation to the mysterious ability of the compass needle to point north-south: the Earth itself was magnetic. "De Magnete" opened the era of mo
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How to use Microsoft Excel in the Classroom

I am finding my students are increasingly using spreadsheets to solve mathematical problems in class and represent their data and findings in meaningful ways.  Th
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15.075 Applied Statistics (MIT)
This course is an introduction to applied statistics and data analysis. Topics include collecting and exploring data, basic inference, simple and multiple linear regression, analysis of variance, nonparametric methods, and statistical computing. It is not a course in mathematical statistics, but provides a balance between statistical theory and application. Prerequisites are calculus, probability, and linear algebra. We would like to acknowledge the contributions that Prof. Roy Welsch (MIT), Pro
Author(s): Newton, Elizabeth

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Negenproef
negenproef2.jpg

In dit document wordt uitgelegd hoe je een cijferoefening kan controleren met de negenproef. Leerlingen lossen een aantal oefeningen cijferend op en controleren daarna met de negenproef.


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14.12 Economic Applications of Game Theory (MIT)
Game Theory is a misnomer for Multiperson Decision Theory, the analysis of situations in which payoffs to agents depend on the behavior of other agents. It involves the analysis of conflict, cooperation, and (tacit) communication. Game theory has applications in several fields, such as economics, politics, law, biology, and computer science. In this course, I will introduce the basic tools of game theoretic analysis. In the process, I will outline some of the many applications of game theory, pr
Author(s): Yildiz, Muhamet

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Workshop 2: Intellectual Development
Explore the power of the mind and consider the notion that every child can learn everything. Harvard Professor Eleanor Duckworth discusses the importance of teaching for a deep and lasting understanding and explains why it is important to give students time to work through their own ideas and experience confusion in order to achieve such understanding.
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