Private Universe Project in Mathematics: Workshop 5. Building on Useful Ideas
One of the strands of the Rutgers long-term study was to find out how useful ideas spread through a community of learners and evolve over time. Here, the focus is on the teachers role in fostering thoughtful mathematics.,Equations In Colts Neck, New Jersey, fourth-grade teacher and former Rutgers researcher Amy Martino finds out that what started as a 15-minute warm-up question evolves into an interesting discussion about equations.
Money and Banking
The financial crisis of 2007-8 has already revolutionized institutions, markets, and regulation. Wright and Quadrini's Money and Banking captures those revolutionary changes and packages them in a way that engages undergraduates enrolled in Money and Banking and Financial Institutions and Markets courses. Minimal mathematics, accessible language, and a student-oriented tone ease readers into complex subjects like money, interest rates, banking, asymmetric information, financial crises and regul
GIPCA Great Texts / Big Questions Public Lectures 2009
GIPCA Great Texts Big Questions popular lecture series provides an opportunity to hear leading intellectuals discuss one of life's big questions or a significant book or artwork. All of the lectures from 2009 were recorded and are now available online. Below is a brief summary of each talk. Follow the link above to the download page for the mp3 lectures. On Thursday 13 August AIDS activist Zackie Achmat will give a free public lecture on "The Communist Manifesto" by Karl Marx and "The Gettysburg
Basic Analysis: Introduction to Real Analysis
This free online textbook is a one semester course in basic analysis. These were my lecture notes for teaching Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in fall 2009. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A Sample Darboux sums prerequisite for the course is a basic proof course. The course does not cover topics such as metric spaces, which a more advanced course woul
Impact of Computer Aided Learning on Children with Specific Learning Disabilities
The Technology Initiatives Division of Azim Premji Foundation has launched programmes for use of computers in rural schooling. One such programme is Computer Aided Leaning (CAL) that envisages deployment of computers as a media to impact learning competencies and to create an attractive environment in the schools. The state government provides the computers in schools and the Foundation has developed required software content designed to aid classroom learning process in specific areas such as m
Atoms to X-rays: How Do Proteins Fold? Theory Meets Experiments
The machinery of life depends on proteins--large organic molecules composed of tens, hundreds or even thousands of amino acids bound together and folded into specifically shaped structures. How they fold into these three-dimensional structures is known as the second genetic code and is one of great challenges in science today. Join UCSD biophysicist Jose Onuchic, as he explores how physics, chemistry, biology and mathematics are all being applied to crack the protein folding mystery. Series: Ato
InterMath is a professional development effort designed to support teachers in becoming better mathematics educators. It focuses on building teachers' mathematical content knowledge through mathematical investigations that are supported by technology. InterMath includes a workshop component and materials to support instructors. For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictur
18.712 Introduction to Representation Theory (MIT)
The goal of this course is to give an undergraduate-level introduction to representation theory (of groups, Lie algebras, and associative algebras). Representation theory is an area of mathematics which, roughly speaking, studies symmetry in linear spaces.
Bulletin of the Polytechnic Institute of Jassy, construction : architecture section
The Bulletin of the Polytechnic Institute of Jassy, Construction, Architecture Section is an online journal from Romania that publishes interdisciplinary, peer-reviewed papers on "theoretical and applied research related to building materials and equipments, structural mechanics, roads and foundation". Although the Bulletin itself publishes scientific articles, covering all the fields from Mathematics to Social Sciences, the Construction, Architecture section of the bulletin covers a wide range
Working with diagrams
Working with diagrams is essential for students of science, technology, engineering and mathematics. This unit is packed with practical activities and tips which make learning from and with diagrams more enjoyable and rewarding. One part of this unit deals with the reading of diagrams and the other part with the drawing of diagrams.
I am researching into the views that children hold with regards to the relevance of mathematics outside the classroom. My starting point was a journal article by BSRLM 23(2) 'Children's experience of Mathematics' which I found very helpful, and outlined children's views from not being useful at all to being able to see the relevance outside school. I would like to explore this area further with an emphasis on primary school children, especially Key Stage 2. Can you point me in the right directio
Can listening to background music improve children’s behaviour and performance in mathematics?
This is a paper presented at the British Educational Research Association Conference, University of Warwick, 11-14 September 1997. The resource is a summary of two empirical studies designed to explore the effects of background music on children’s behaviour and their learning of mathematics.
Answering the question that matters most - has student achievement increased since ‘No Child Left
As reported in the US press, on May 31st the Center on Education Policy, an independent not-for-profit organisation in the USA, published a key report into the trends in mathematics and reading scores of children in the US since the passing of the No Child Left Behind (NCLB) Act of 2001. The findings show that since NCLB achievement in reading and mathematics, as measured by test results, has increased. In addition, gaps in achievement between different ethnic groups are narrower than they wer
Keeping up – Pupils who fall behind in Key Stage 2
This is the first published document from the ‘Making Good Progress’ series from the DfES. The document reports on a small scale research project focussing on 240 pupils in 39 schools who do not make the expected progress in English and Mathematics during key Stage 2. The report contains a chapter on English and a chapter on mathematics, which look at pupil characteristics, obstacles to progress and specific issues arising from the project. The final chapter gives advice on the action sch
Working on your own mathematics
This unit focuses on your initial encounters with research. It invites you to think about how perceptions of mathematics have influenced you in your prior learning, your teaching and the attitudes of learners.
You may have met complex numbers before, but not had experience in manipulating them. This unit gives an accessible introduction to complex numbers, which are very important in science and technology, as well as mathematics. The unit includes definitions, concepts and techniques which will be very helpful and interesting to a wide variety of people with a reasonable background in algebra and trigonometry.
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
Language, notation and formulas
Communication is as vital in mathematics as in any language. This unit will help you to express yourself clearly when writing and speaking about mathematics. You will also learn how to answer questions in the manner that is expected by the examiner.
Starting with maths: Patterns and formulas
Patterns occur everywhere in art, nature, science and especially mathematics. Being able to recognise, describe and use these patterns is an important skill that helps you to tackle a wide variety of different problems. This unit explores some of these patterns ranging from ancient number patterns to the latest mathematical research.
The EPPI review ‘What characterises effective teacher initiated teacher-pupil dialogue to promote
March 2008 has seen the publication of two important reports concerning mathematics education. ‘What characterises effective teacher initiated teacher-pupil dialogue to promote conceptual understanding in mathematics lessons in England in Key Stages 2 and 3', is an EPPI systematic review commissioned by the DCSF. ‘Foundations for Success' the Final Report of the National Mathematics Advisory Panel for the U.S. Department of Education is a report that was complied over approximately two yea