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Archive for the 'Maths' Category

Directed numbers. :: Adding and multiplying requires a 'rules switch'. ::

One use of the inclined plane :: Blood stain measurement as a motivation for maths and error analysis. ::

Algebra podcast :: Multiplying terms helps students to revise indices and directed numbers. ::

Slideshare - half way there :: Slideshare.net lets you share slides. Imagine if you could record sound and time transitions... ::

Cumulative frequency screencast :: Plot the curve and find the median and IQR ::

Averages from frequency tables :: I guess this is a podcast with visuals. ::

Tree diagrams screencast :: YouTube video about tree diagrams in GCSE Probability. Me talking with illustrations provided by a PowerPoint presentation. I scripted the speech but then extemporised at various points - and managed this in two complete takes. ::

Probability questions :: A maths quick quiz for the first 15 minutes of the lesson. I usually kick off the data handling module with the probability topic as it sits on its own and links back to fractions so nicely. ::

Tree diagram script :: Script for an explanation of tree diagrams suitable for GCSE Intermediate maths; there is (nearly) always a tree diagram question for students on the data handling paper. I'll add a problem sheet before recording the screencast. ::

Probability screencast :: 9 minutes and 46 seconds on basic probability, including the probability scale, expected frequencies, mutually exclusive and independent events, possibility space diagrams and even a without replacement problem. All aimed at a GCSE Intermediate group. The .mov file was produced by 'presenting' a PowerPoint while speaking a commentary recorded using iShowU screen cam software. YouTube provide the hosting and convert the .mov to a Flash movie. ::

Tables! :: Wooden toy found at the Frankfurt Christmas Market that is in Birmingham UK at present. ::

bodmas for calculators :: The formula above has to be written as a single line with brackets to ensure that the top line is calculated before the division, and that the square root function applies to the result. √(((5.51 – 6)x2 + (5.89 – 6)x2 + (6.51 – 6)x2)/3) = We spent an hour working over examples with recent Casio calculators [...] ::

Plotting scientific data with MS Excel :: MS Excel has powerful data plotting functions but the default settings are for illustrative graphs for presentations rather than printed graphs of scientific data. This handout suggests some settings that might produce better quality graphs. ::

How much can you remember? :: Half term break provides a gap long enough to forget some bits of Maths, and this worksheet is designed to jog memories. ::

Leverage fractions :: By spending extra lesson time on fractions - front loading in the jargon - I can save time on percentages and ratios. This kind of teaching needs trust from students; as I teach adults, I'm upfront about what I am doing. ::

Flash fractions :: Very handy web site has flash animations of basic fractions processes complete with fla files for further customisation. ::

Fractions, tables :: 'Spot the common factors' approach works well for equivalent fractions puzzles. The kind of puzzle with unknowns on the bottom provokes thought! ::

Prime factors :: More audio learning: five minutes on prime numbers and finding prime factors. Students need something to write on and with unless they have excellent short term memory! ::

Market maths :: If 5 kilos of potatoes cost £2.60, how much will 7 kilos cost? These are simple everyday problems but spending a little time on them lays the foundation for percentages and ratios nicely. This podcast works through some easy examples. ::

Numeracy blog and scientific calculator :: Numeracy blog for teachers from Scotland, and a Flash animation Scientific Calculator ::

Quick Quiz 5: Fractions :: Word file with fractions quiz. I use a 10 minute quiz at the start of each lesson to soak up later arrivals and to consolidate the work from the last session. The students get used to working under test conditions ::

Maths Quiz on decimals :: The last one before I have to start using PDFs because of fractions ::

A quiz a day helps the grades… :: ...boost the mark by 5 or 10 and that could mean a whole grade ::

Another maths quiz :: Just 10 minutes at the start of each lesson ::

Quick maths quizzes :: Quick quiz (on paper) at the start of each lesson... ::

Formulas in text :: Ambiguous descriptions of formulas in newspapers ::

GCSE Map finished (well, begun) :: Now I have the topics mapped, it is time to start adding bits of content ::

Geometry Applet: Triangle :: Draggable triangle with perpendicular height ::

Geometry Applet: Parallelogram :: Simple use of David Joyce's Geometry Applet to animate diagrams ::

GCSE: Algebra map :: Time to start putting some content in soon ::

Flash: Consolidation :: This timeline is all my own work and I didn't look at the textbook... Lesson 2 and 3 applied to an animation showing how the area of a parallelogram is calculated... ::

Tinderbox: GCSE map :: Tinderbox from Eastgate systems allows rapid development of complex web sites and a visual map of 'emergent structure' of a teaching task ::

Teaching rate of change :: Use a guitar to explain rates of change of various variables ::

GCSE Maths paper 1 :: Feedback from the first paper ::

Phase angle spreadsheet VBA :: Use VBA for smooth dynamically updating scroll bars ::

GCSE topics :: Last minute favorites for the non-calculator Module 5 paper ::

Aggregation :: When is a crime rate valid? ::

Triangle in a triangle problem :: Why do some students find this problem so hard? ::

Tuesday Whiteboard: reflections and edges :: We were looking at finding a value for the intercept of a straight line graph when the scale of the graph made it difficult to have an X axis that started at zero – we were setting up and solving a simple equation within a context. This second whiteboard processed using ScanR was taken in [...] ::

Unusual mould :: Black rust form mould grows in concentric circles ::

Convection :: Convection cells in a round bottomed flask ::

Areas by Audio: Podcast :: An audio lesson on easy areas with a single one side sheet of diagrams. This will be used by at least one student who can't make the lesson because of shift pattern change. ::

Pythagoras animation :: MS PowerPoint on Pythagoras converted to Flash animation using OpenOffice 2 ::

Circle Area and composite shape animation :: Flash animation generated by Open Office 2.0 from an MS PowerPoint presentation ::

Basic areas animation :: Flash animation about basic Area formulas produced using OpenOffice ::

1600 watts :: 1600 watts is (apparently) the rating of a modest 35mm film projector in an arthouse cinema... ::

Flash: Perimeter :: Flash from PowerPoint on a perimeter presentation with mini-exercises ::

Chi squared spreadsheet :: Calculates chi-square for a two number table, and applies Yates' continuity correction ::

Flash from PowerPoint :: Open Office 2.0 can export PowerPoint presentations as rudimentary flash animations ::

Preview in Mac OS X :: Preview allows you to cut diagrams out of PDF files and save them as PNG or JPG files ::

Superposition of two sine waves :: Spreadsheet shows effect of adding two phase shifted sine waves ::

Straight line graphs :: Pop some graphs on the gcse blog and ask for the equations by e-mail? ::

Gestures! :: “Gestures that complement rather than simply illustrate verbal instructions can boost children’s ability to complete problems in mathematics, researchers report.” Complementary gestures are illustrated as… “When using complementary gestures, however, the teachers pointed to each of the numbers on the left and then signalled the subtraction of the five on the right side by scooping their hand [...] ::

GCSE Mind Map :: Put the whole of GCSE Maths where you can see it ::

Migraine and hole in heart :: According to the BBC News quoting research by doctors in London and Shrewsbury, there may be a link between migraine with aura and a hole in the heart. Their figures (quoted from the BBC article) are as follows… “The latest study screened 432 migraine with aura patients, and found 24% had a moderate [or] large PFO [...] ::

Central England Temperature series :: Notice any trend? Upwards? Downwards? Part of a sine wave of longish period? Scribble an idea now, then compare with the full series. The chart above (shown without axes on purpose) is a plot of the yearly mean temperature from 1800 to 2005 taken from the Central England Temperature series. The series extends from 1659, as [...] ::

Beaufort Scale :: I once heard the Beaufort Scale rendered as epic poetry. The reader started in a quiet conversational tone, speaking fairly quickly. As he ascended the scale, the voice grew louder and the pace slowed. The word ‘HURRICANE’ was bellowed at considerable volume. The table below was copied from a notebook entry made one foul day in [...] ::

200 cubic kilometres of ice every year :: A recent post to the Real Climate blog details recent work on satellite images of Greenland showing the volume of ice flow into the sea from the glaciers that surround the coast. The numbers are large – 220 cubic km of ice per year is currently flowing from the glaciers into the sea. That apparently corresponds [...] ::

Aperiodic tiling :: I think I understand what labyrinth tiling might be, but I’ll need to check… It looks nice anyway, especially the labyrinth produced by just looking at the horizontal or vertical edges. ::

Calculating with large positive integers :: The demonstration version of Reduce for Windows (scroll down page when it loads) – a computer algebra package – can be used to factorise large prime numbers (and polynomials!) as a way of demonstrating the properties of large numbers. Interactive sessions on a projector (the fonts are a bit small but there is no [...] ::

Of hammers and singers :: “Until the 19th century, there was no concerted effort to standardize musical pitch and the levels across Europe varied widely. Even within one church, the pitch used could vary over time because of the way organs were tuned. Generally, the end of an organ pipe would be hammered inwards to a cone, or flared outwards [...] ::

Fruit fly results :: Gender differences in the mendelian ratio? ::

A new Hogben? :: Maths for the Million - what new chapters would you add? ::

Mendeleyev’s Dream :: Original periodic table had gaps and forced re-measurement of many atomic weights and other properties. ::

Measuring :: Vernier calipers and the venerable screw micrometer allow us to measure small objects with a resolution high enough to see random variation. ::

Active Internet Users… :: Internet use figures tablulated with populations for a list of countries ::

Statistics for genetics :: Nice and clear site on stats for genetics by Jim Deacon from the Biology Teaching Organisation, University of Edinburgh. Useful examples in context and helpful dos and don’ts. There is a section on experimental design as well, and a page that helps people choose the appropriate statistical test. ::

R Project :: Freeware stats package for Mac OS X, Linux, Windows ::

Simulated blood stains :: Latest results on new experiments... ::

Mystic rose Excel macro :: A little bit of VBA goes a long way... ::

Algebra substitution game :: Three PowerPoints contain a brief presentation on substituting and a 'game' that encourages group work ::

Prime number podcast :: BBC radio program about history looks at prime numbers ::

Hot Potatoes :: Quiz suite written by esol teacher is at version 6 and getting seriously useful ::

Maths for science :: What would a 'survival pack' for science students contain? ::

Circle theorems :: Java applets allow exploration of geometrical relationships by dragging ::

Standard deviation recipe :: Draft of SD notes for study pack ::

Chi-square statistic and test :: Draft notes on how to calculate the well-known statistic ::

Writing about charts :: Excel on projector helps provide rapidly updated charts to trigger discussion ::

100 words :: Read all about it coursework: a useful list ::

Planet transit times 2006 :: The transit time of a planet can help you find the planet in the sky and can help plan observing trips ::

Casio calculator :: fx-83ES defaults to maths mode with surds and fractions ::

Pie charts :: MS Excel or any spreadsheet on a projector with whole class questions ::

A city is not a tree :: Christopher Alexander was a visionary architect and philosopher. This Web page summarises one of his better known books. Much used by computer scientists. ::

Measuring bloodstains with Photoshop :: PhotoShop or similar image editor provides a way of measuring a scanned image accurately, but you need Pythagoras... ::

Number questions :: 50 questions at level 1 and 2 on Number ::

Finding the focal length :: When photographers include the Moon or Sun in a picture, you can find the angle of view and the focal length of the lens by a simple application of trigonometry. ::

Maths handbook :: Mathworld by Eric Weisstein is a huge online reference ::

Mathsnet :: Mathsnet is a web site that provides interactive demonstrations of maths topics ::

Logarithmic Spiral :: Is the hand painted decoration on my Taramundi an accurate logarithmic or equiangular spiral or not? ::

Macro World :: Looking at things through a simple jeweler's loup can provide a refreshing 'take' ::

Multiplication: different methods :: I'll see how gelosia and russian multiplication go down ::

Finding factors :: Use a systematic method to list factors and you get them all ::

BBC Maths quiz :: Nice quiz - pity about the feedback ::

Born abroad :: Most people born abroad live in the South of England - especially London. New statistical analysis decouples immigration from ethnicity. ::

MS Excel dynamic graphs :: Use the 'forms' toolbar in MS Excel to link a slider control with a cell. Then you can make 'dynamic graphs'. Projected onto a screen, you can ask students to predict what the result of a change is going to be. ::

MS Excel simulation :: Download a spreadsheet that simulates breeding 60 fruit flies The spreadsheet simulates the results of breeding fruit flies (F2 Generation – Second Filial?) where the expected outcome is a simple 1:3 Mendelian ratio of vestigial winged flies to winged flies The screen shot above shows an anomalous result – a chi-squared statistic well above 3.84, the critical [...] ::

Perfect Square Dissection :: What is the smallest number of squares of different sizes that can be joined together to make a square? Answer: 21 ::

4 colour theorem :: Try using 4 colours to colour in some maps - harder than it looks ::

Leonardo’s adding machine? :: Controversial replica calculating machine is based on a sketch in a 'misplaced' manuscript by Leonardo ::

Ruler and compass constructions :: Some links to examples of constructions of common shapes and online drafting aids ::

VCA :: Analogue synthesisers - a hoot with op amps and noise ::

Bradford Wool Exchange windows :: Strange geometrical pattern found in 1840s building ::

Right Hand, Left Hand :: Left Hand, Right Hand, Chris McManus, Phoenix, 2003, ISBN 0-75381-355-6 ::

Symbols - a cautionary tale :: Beware the use of symbols of a graphic nature in maths lessons - you may have students who take the lesson the wrong way ::

HTML entities :: Maths on the Web is a problem - html entities can provide a limited range of symbols - and I like the immediacy of a blogging approach to Maths. Else it is down to PDFs or scans or Whiteboard captures. ::

Altitude of the Sun and Moon :: A spreadsheet uses simplified low precision formulas to calculate the altitude of the Sun and the Moon for each hour of a given day. Change the latitude to see the effect of moving into the arctic circle. Change the date to see the effect of slipping towards Winter. ::

Food miles :: How far has your dinner travelled? Perhaps half way round the planet! ::

Key Skills 4 u :: Web site aims to motivate keyskills lessons - self test quizzes and practice tests. ::

Chi-squared data: flies :: Six datasets based on reproduction experiments with fruit flies - used for chi-squared statistics calculations ::

Independent events :: Probabilities can only be multiplied if events are independent. Sudden child deaths in the same family cannot be regarded as independent. ::

Maths Posters :: The Isaac Newton Institute for Mathematical Sciences published a series of 12 monthly posters on tube trains in London during the year 2000. The posters are available at moderate resolution on the Web and can still be purchased as a set from The Mathematical Association’s online shop – a nice tie in. The posters were designed [...] ::

Algebra practice :: By popular request… Remember that a multiplying mixed signs gives a negative answer and multiplying same signs gives a positive answer! Multiply out the following 2(3x – 2) – 4(2x – 1) 2xy(x + y) 2(4x + 3) + 3(2x – 9) 4(x + y) – 2(x + 2y) 2x(x2 – y3) 2(5x – 4) – 3(2x + 7) 4(10x + 3y) – [...] ::

Online map creator :: The original Online Map Creator Web site provides an online interface to the GMT package Planiglobe is the new simplified interface – faster but currently has few options The original OMC has been around for years and will plot contours of ocean depth and continental height. You can pull the plots down as PS files or [...] ::

Stats on driving risks :: A BBC News article reports a survey by the Institute of Advanced Motorists into perceived driving risks based on a sample of 700 drivers. The survey finds differences based on gender and age regarding the risks. 60% of women drivers in the sample cited ‘tailgating’ as a major risk compared with 47% of male drivers in [...] ::

Special graph papers :: Thanks to Jeremy for this Web site… Print Free Graph Paper Seems to have a good range of patterns including polar and log-lin. The metric rulings are on the right, and seem short of smaller divisions (i.e. 20mm/2mm isn’t there). The isometric papers could come in handy for 3-d drawing! ::

Decimal point kills baby? :: “The mistake made by the nurses was a mathematical miscalculation which in other working environments might not have been quite so catastrophic” The quote is from the coroner in a case of a 15 day old baby given 10 times the prescribed dose of Digoxin to slow a fast heart rate and appears on the BBC [...] ::

A4 paper ratio :: Why A4 paper is the shape it is? ::

Chemistry Numeracy :: I’m doing some numeracy sessions for HND Chemistry students. I needed lots of specific examples and exercises within the area of Chemistry. Basics with an emphasis on converting from everyday to metric units – US origin. Good stuff on density. PDF file, part of a comprehensive set of lecture notes Stuff on standard form part of a [...] ::

GCSE Maths :: Timetabling (that three dimensional jigsaw puzzle) is occuring and it looks like I’ll be teaching a GCSE Maths course next year. Expect a week by week puzzle page. Hot Potatoes looks like the way to go with quizzes and puzzles delivered through a blog like WordPress with ‘future posting’. Animated formulas (see below) might be [...] ::

Napier’s bones :: Napier's Bones were a 16th century calculating device based on lattice multiplication, from the inventor of logarithms. ::

Virtual Manipulatives :: The Natioanl Library of Virtual Manipulatives for Interactive Mathematics is a Web site with a large number of Java applets that invite students to explore Mathematics problems. ‘Manipulatives’ is the US term for things like Cuisenaire rods and Dienes blocks. The Java applets are mapped to the US curriculum based on ‘grades’. I have used [...] ::

Estimation Game :: Java game speeds up estimation with three digit whole numbers. ::

Standard deviation :: An alternate formula and why it might be easier to just use the standard one! ::

Formula for mode :: There is a simple graphical construction that you can add to estimate a more accurate value for the mode of a grouped frequency distribution (see the red lines on the sketch graph below). Can you write a formula for the value of the mode estimate in terms of the locations of the bar boundaries and the [...] ::

Lorenz attractor :: Edward Lorenz was using a primitive computer (it was 1963) to numerically integrate an apparently simple set of coupled differential equations. The computer worked to 6 decimal places and printed out each line to 3 places. Restarting a run, he noticed that the trace started looking similar but became slowly different to a previous run [...] ::

Probability simulations :: Planetqhe is a site by David Kay Harris dealing with probability. There are Excel spreadsheets that present problems in probability in a novel way, including two stage tree diagrams. The presentation is different to the usual one in UK GCSE textbooks – Harris is head of Maths at the International School of Toulouse and the site [...] ::

Geometry applet :: David E Joyce of the Clarke University has provided a set of Java classes that allow complex geometrical constructions too be built using parameters passed to a Java applet. The Geometry Applet Euclid’s elements with dynamic diagrams The geometry applet looks as if it could be used to provide dynamic graphics to help students explore locii and circle [...] ::

rLogo puzzle :: rLogo is a Java based implementation of the Logo programming language. I used a simple ‘starter’ in a recent Maths lesson where students had to learn about the exterior and interior angles of a polygon and learn to solve problems along the lines of ‘can a regular polygon have an interior angle of 125 degrees?’. On [...] ::

Spirals :: The starting square has side 1. Another side 1 square appears, and then a side 2 square is added across the top of them. Then a square of side 3 appears to the left, and a sqare of side 5 appears underneath. The sequence of the sides of the squares is like this… 1, 1, 2, 3, [...] ::

(simulated) blood stains :: recipe: 300ml of milk and three tablespoons of treacle – warm milk over electric hotplate in milk pan. Spoon treacle in and stir well. looks lumpy but dries (in a few days) really convincingly Students set up a dissection board or similar with some wall paper afixed – set the board at known angles drop the simulated blood [...] ::

Children using the Web… :: The NFER has a long term project (started in 2002) tracking students’ experience of citizenship education. The most recent report is referenced as follows….CLEAVER, E., IRELAND, E., KERR, D. and LOPES, J. (2005). Citizenship Education Longitudinal Study: Second Cross-Sectional Survey 2004 Listening to Young People: Citizenship Education in England (DfES Research Report 626). London: DfES The [...] ::

CIMT GCSE Materials :: The Centre for Innovation in Maths Teaching based at the University of Exeter provides a range of materials for free download on their Web pages. In particular, there is the Mathematics Enhancement Programme for key stage 4 that provides GCSE maths materials as PDF downloads. There are 20 units available, and the units are provided [...] ::

Statistics simulations :: A series of Java based statistics simulations provides covarage of most aspects of statistics at level 3 and 4 (Normal distribution, skew, sampling, tests of significance) These are part of the Rice Virtual Lab in Statistics and you can download the lot as a ZIP file (or as JBuilder source code) The site also includes a stats [...] ::

Finding planets :: The headmap sphaeric web page has a simple geometrical method for finding rough positions of the planets based on using concentric circles to represent the orbit of the planet and of the earth. I’ll re-work this a little minus the ideology. Note added 27th Feb : errors prove large for Mars. The smaller signal is the declination [...] ::

Cumulative frequency curves from the TTA :: Cumulative frequency curve summary from the Teacher Training Agency! The TTA material covers the syllabus for the Numeracy test that newly qualified teachers must take The material is presented as Web pages that are also available in a plain form for printing out Areas of numeracy covered There are interactive practice tests available as well as written questions Could be [...] ::

Genetic fingerprinting - probability of false match? :: The Centre for Innovation in Mathematics Teaching has a range of simple Web pages that set up a problem in a context using GCSE level Maths. Chance of false matches in DNA matching (genetic fingerprinting) is a useful leader for a lesson on combined probabilities – and directly useful to Forensic science students! Mistaken DNA Identification has [...] ::

Maths for adults :: The diagram above is re-drawn from Mike Ollerton’s book Getting the buggers to add up published by Continuum. Most of the issues he raises for engaging children and teenagers are alive and well for adults... Take away aspects of ‘behaviour’ – less challenging anyway Add in a big set of built in hangups and partial constructs about [...] ::

Some stats simulations :: Central Limit Theorem – you can roll up to 5 dice up to 10000 times and plot the frequency distribution of the total score. As you ‘roll the dice’ a second and third time, the cumulative score is shown so that the Normal distribution can emerge through repeated samples. Nice touch – imagine using this [...] ::

Central Limit Theorem :: ” The distribution of an average tends to be Normal, even when the distribution from which the average is computed is decidedly non-Normal “. “Thus, the Central Limit theorem is the foundation for many statistical procedures, including Quality Control Charts, because the distribution of the phenomenon under study does not have to be [...] ::

Normal distribution sample simulation :: Histograms are meaningless for datasets smaller than about 500 items – you will be better off using a dotplot. I think that the ‘error bar’ for each bar of the histogram can be approximated by the square root of the frequency so that a bar with a frequency of 36 could have a standard deviation [...] ::

Blood spatter pattern analysis :: The MathsWorks Project has a series of laboratory projects on different aspects of Maths in Biotechnology. One of the projects is about blood spatter pattern analysis and has a very usable practical using milk to calibrate the relationship between drop stain shape and angle of surface. There is also a good treatment of the mathematical assumptions [...] ::

Fruit Fly Genetics :: The Genetics Laboratory Manual from the University of South Florida has plenty of detail on Drosophilia Melanogaster and the various genetic manipulations available. You can simulate the Mendelian inheritance of a simple trait using a couple of coins and some patience – and a Chi-Squared statistic can be calculated from a table of observed and expected [...] ::

Statistics notes :: These are mostly first year University level but the datasets, examples and general approaches might be useful for Unit 6 on the BTEC Applied Sciences Darren Wilkinson is making his Statistics teaching notes, PowerPoint slides and homework exercises freely downloadable as PDFs John Matthews distributes his Biomedical Science Statistics module notes as PDFs Professor Matthews’ Summary Measures and [...] ::

“From the Vault of the Heavens” :: Filippo Brunelleschi was the mathematician and artist who designed the dome of S. Maria Novella in Florence. How much maths did Brunelleschi know? Did he know about astronomy, and could he use an Astrolabe ? I was able to find a paper mapping his friendships with local mathematicians and astronomers and astrolabe dealers using the new [...] ::

Nursing numeracy support material :: Numeracy support material for nursing is based on a numeracy course in the department of Health Studies at York University. There is a lot of useful vocational context here and some nice examples, alas hampered by dated Web design (frames based site, flash animations used to convey material, assumptions made about screen size and so on). The [...] ::

From College to University :: The mathscentre Web site has a growing collection of resources in a variety of formats – short leaflets on key numeracy skills (all of fractions on two sides) to longer packs of materials. The student portal maps leaflets and revision books by vocational subject but often the leaflets are generic. The Web site does not appear [...] ::

Algebra book online :: James Brennan is providing his Understanding Algebra book free for online access. This algebra text is geared to US educational requirements and styles but there is a lot here that Access students doing science modules could use. The book is pure exposition of the basics – few worked examples and no problem sets. I found it [...] ::

40 questions… :: Download a 6 page worksheet Following the TROL example, I am adding some PDFs of worksheets here. The first is 40 short questions for revision for students taking an Access course – this first test is non-calculator. Topics covered include Whole numbers, fractions and decimals Percentage and simple percentage problems Basic Unit conversion Ratios (including foreign currency) Basic probability Students will get [...] ::

Teacher Resources On Line (TROL) :: Teacher Resources On Line has a lot of downloadable PDF files with quizzes, problems and mini-investigations. Could be useful. The arithmetic practice PDF file has 12 pages of puzzles around tables and simple arithmetic operations but presented in a puzzly way with number squares and other visual shapes. Could be handy for use with Access [...] ::

Maths in vocational context :: A big thankyou to the University of Hull Study Advice Services crew for making their worksheets and leaflets available online without password protection. I’ll be using the excellent Mathematics Practice for Nursing and Midwifery (a PDF file) available to my access students over the half term as revision and a bit of a challenge for the [...] ::

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bodmas.org, Keith Burnett