M1Maths |
Maths Teaching Professional Development ArticlesProfessional Development might be a bit of a grandiose title for this section, which consists of a bunch of random articles written over the years by David Ilsley. The articles bear some relation to mathematics education, though not all are terribly serious. Some of the articles have been published in association journals; some have been used in face-to-face professional development; and some have just been written for lack of anything better to do. Word and Excel documents need to be downloaded and opened in Word or Excel to display properly. |
Title | Format | Summary |
---|---|---|
Polar Art | Some artistic polar function graphs | |
A Mathematician's Glossary of Psychological Disorders | A bit of a joke | |
Algebra as the Study of Relations | The philosophy behind the approach to algebra used in M1Maths. | |
Bad Language in the Maths Classroom | A not-too-serious article about the misuse of certain words in maths teaching | |
Mathematical Quotes | Quotes about mathematics - some humorous, some more serious. | |
Avoiding Confusion in Probability | Teaching programs and textbooks often cause students to develop misconceptions in elementary probability. This article suggests a way to avoid that. The article explains the philosophy behind the approach to probability used in M1Maths. | |
A Single Area Formula for All 2D Shapes | A suggestion that students can learn the single area formula A = l x w x f for all 2D shapes | |
Setting Up a School Orienteering Course | Some tips on setting up a course | |
Is 9 a Random Number? | Some thoughts on what makes numbers random | |
Numerical Solution of Differential Equations Using Spreadsheets | Using spreadsheets to solve differential equations numerically. The method is analogous to the numerical methods of finding definite integrals, but it can be applied to a much broader range of problems including those which lead to second- and higher-order equations and those which lead to equations in several variables which have to be solved simultaneously. Download the spreadsheet in Excel so it renders properly. | |
The Envelope Paradox | An interesting paradox | |
The Envelope Paradox - Resolution | A resolution to the paradox above. | |
The Unexpected Exam Paradox | An interesting paradox whose resolution is beyond me | |
All Whole Numbers Can Be Expressed in Eleven Words or Less | Another paradox | |
Fluid Resistance: Proportional to v or to v squared? | It can be either. An explanation of what determines which is the case in physical situations. | |
Learning Mensuration Formulae | A suggetion for making mensuration formulae easier to remember and more difficult to confuse. | |
Collective Nouns for Teachers | Little-known collective nouns for groups of teachers | |
Programming on the TI83 Calculator | Three sample programs to illustrate the programming potential of graphics calculators | |
Bad Maths | Extending Pascal's Triangle to make Pascal's Hexagon. | |
Finding Angles | Two methods for finding angles between intersectiong lines, one using geomety theorems, one using the idea of bearings | |
Deviant Polynomials | A non-standard general form for polynomials can be easier to get one's head around and can make curve sketching more intuitive. | |
Entropy with Combinations | Using combinations to get a feel for entropy | |
The Hairy Dog Theorem | My favourite mathematical theorem | |
The Ham and Cheese Sandwich Theorem | An application of the concept of 'degrees of freedom' | |
Round Things | An easy way to remember length, area and volume formulae for circles and spheres | |
Piracy | A practical application of complex numbers | |
Serious Problems 1-10 | Challenging problems that teachers and top-gun students might enjoy | |
Serious Problems 1-10 - Solutions | Worked solutions to serious problems | |
Serious Problems 11-20 | Challenging problems that teachers and top-gun students might enjoy | |
Serious Problems 11-20 - Solutions | Worked solutions to serious problems | |
Serious Problems 21-30 | Challenging problems that teachers and top-gun students might enjoy | |
Serious Problems 21-30 - Solutions | Worked solutions to serious problems | |
Serious Problems 31-34 | Challenging problems that teachers and top-gun students might enjoy | |
Serious Problems 31-34 - Solutions | Worked solutions to serious problems | |
Shifting the Emphasis from Memorising to Thinking | Queensland Association of Maths Teachers |
Background image: https://pixabay.com/illustrations/beach-background-sea-ocean-3892386/ (cropped) (Creative Commons licence) |