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Elephant Delta day 1 – Dr R Nazim Khan from The University of Western Australia on Assessments: An Open and Closed Case

Blogging from The Tenth Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics

R Nazim Khan – UWA (photo taken from http://www.uwa.edu.au/people/nazim.khan)

See paper: Assessments: an open and closed case.

Looking at the difference between open book exams and closed book exams.

Closed book exams: How much can a student hold in their head. Only demonstrates what students can do with what they’ve memorised.

Open books exams are more like real life.

These ideas don’t have any data in them. There is research about which is ‘better’. Bailie and Toohey: Not clear that open book is really any better.

First year stats level: Can we investigate whether open or closed book leads to different understanding. Observational study:

Univariate statistical methods and some probability with an open book assessment.

Not possible to compare open book assessment with previous years due to other variations.

Because it was open book:

Students had copied down solutions from old tests: Not a good sign.…

By Jonathan Shock| November 23rd, 2015|Conference, Elephant Delta 2015, Uncategorized|1 Comment

Wolfram Language, the Language of Mathematica is now Free!

The language that powers Mathematica is now available for free! Head here or here to read more about this new release. Or go straight to the download page to start tinkering with it.

How clear is this post?

…

By Jackreece Ejini| May 22nd, 2019|Uncategorized|0 Comments

Use your machine learning powers to solve the stock market on numer.ai

Home-grown South African mathematics, statistics and computer science have come together to give us numer.ai, founded by Richard Craib. This site which has come up with a seemingly brilliant idea, allowing anyone free access to otherwise very expensive data, but in such an encrypted form that you don’t know what the data means, but its patterns are preserved. This data is stock market data which you can use to make predictions. The predictions on their own don’t mean anything, so you send these predictions back to numer.ai, and they can apply it to the unencrypted data and make purchases on the stock market based on the most accurate models on their test data.

It’s simple but brilliant. They give you something very expensive for free, and you give them something very valuable for free. The brightest minds in machine learning can then potentially earn big money which would be impossible if it weren’t for the beauty of homomorphic encryption.…

By Jonathan Shock| December 10th, 2015|Uncategorized|1 Comment

Brazil Delta Conference 2017, David Easdown: A novel approach to mathematics examination design and marking

A novel approach to mathematics examination design and marking

David Easdown (University of Sydney, Australia), Ruth Corran (American University of Paris, France), Brad Roberts (University of Sydney)

Presentation at the 11th Southern Hemisphere Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics in Gramado, Brazil, November 2017, “Brazil Delta 2017’

The new approach to marking evolved over 3-4 years, prompted by policy changes regarding assessment.

Old method of assigning grades: norm-referenced: use professional judgement to decide what a passing grade was, map to the students in the class. Policy said a maximum of 5% can achieve the top bracket grade (over 85%).

Intermediate method: Instead of grades, assessment classifies students’ test performance as ‘masterful’, ‘excellent’, ‘credible’ or ‘routine.’ Less greyness around borderlines compared to previous norm-referenced scale.

Policy change meant the raw mark achieved on an assessment would be their score. Tests need to be developed so that a student who deserved to pass would score 50% of the marks on the test, but only those who deserved a distinction would achieve the marks.…

By Anita Campbell| January 1st, 2018|Uncategorized|0 Comments

Millions, Billions, Zillions – Defending Yourself in a World of Too Many Numbers – by Brian W. Kernighan, a review

NB. I was sent this book as a review copy.

From Princeton University Press.

I have to admit that I was skeptical about this book when I first saw it, and even on browsing through it became more so (read on for the but…). I count myself as a highly numerate person who has a reasonable awareness of the world of numbers around me and I thought that the book probably wouldn’t help me to navigate through the world that I already feel comfortable in.

The book is essentially a series of short chapters which discuss some of the ways that numbers are used, misused and mistakenly used in the media, from errors in units, to orders of magnitude, to the ways that graphs can misrepresent data either intentionally or unintentionally to the improbable precision so often used online and in print. Each chapter uses news headlines and quotes to highlight how such mistakes come about and the examples are extremely clear.…

By Jonathan Shock| December 13th, 2018|Book reviews, Reviews|2 Comments

The Princeton Companion to Applied Mathematics – a review

Disclaimer – I was sent a review copy of this book, upon request.

(Image taken from here).

A detailed review of a book like this is almost impossible, given both the range of topics, as well as the number of authors involved. However, I can attempt to give an overview of the feel and breadth of the book.

As can be seen from the table of contents, this is a book of absolutely vast scope, and such scope has both advantages and disadvantages. Its advantages are simply that it covers so many topics, that almost every aspect of applied mathematics that you could think of is included, from numerical techniques, to cell biology, from the theory of solitons to cosmology, from how to write a book for the general public to science in the media, from complex analysis to graph theory, and so many more areas besides. As such it is an amazing reference to give very useful leads to go into the world of research in applied mathematics.…

By Jonathan Shock| January 5th, 2016|Book reviews, Reviews|1 Comment

First year resources – part 4: revision

This is a continuation of the previous posts, essentially collecting thoughts for first year students. I am asking you, the reader to suggest what might be wrong, or missing from this, and anything else which will be helpful for a new first year who is just arriving at university to study maths…

The following sections in the resource book are about mentors and the whiteboard workshop. They are really quite specific to the course, and more about the details than the philosophy of it, so I am not including them here.

The next section on the other hand is vital, as most students are never given much guidance in how best to revise, and it is one of the most important skills they can gain. I have written my thoughts from my own experience, but I am not trained specifically in education, so I am grateful for any additional thoughts.

How to revise

Revision is a bit like comedy: Timing is everything!

…

By Jonathan Shock| January 26th, 2016|Courses, First year, MAM1000, Undergraduate|6 Comments

Advice for MAM1000W students from former MAM1000W students – part 5

While I resisted Mam1000W every single day, I even complained about how it isn’t useful to myself. Little did I know when it all finally clicked towards the end that even though I wasn’t going to be using math in my life directly, the methodology of thinking and applying helps me to this day.

Surviving Mam1000W isn’t really a miraculous thing. While everyone tends to make it seem like it’s impossible, it is challenging (Not hard) and I said that because I have seen first-hand that practice makes it better each time. Getting to know the principles by actually doing the tuts which is the most important element of the course in my opinion will make sure that even though you feel like you aren’t learning anything when the time comes (usually 2nd semester) it will all click on how you actually are linking the information together.

Another important aspect is playing the numbers game.

…

By Jonathan Shock| May 14th, 2018|Courses, First year, MAM1000, Undergraduate|1 Comment

Data Visualization, a practical introduction – by Kieran Healy, a review

NB. I was sent this book as a review copy.

From Princeton University Press.

I’m not an expert on the R programming language, but I have dabbled, which meant that while this book is perhaps aimed at slightly more advanced users (I’ve used it a half a dozen times for Coursera courses), I had enough to appreciate the value of this really lovely resource.

The book can be seen, I think, in two ways. One of the ways, which is the one which most interests me, is in explaining what it is that makes good data visualization captivating, clear and unambiguous. Interleaved in these ideas of aesthetics are the precisel methods to go about making such visualizations using the ggplot package in R.

The other way to look at the book is as a way to really get to grips with the advanced features of the ggplot package, which is taught via interesting examples of data visualization.…

By Jonathan Shock| March 27th, 2019|Book reviews, Reviews|1 Comment

The Varsity Maths Problem

The following post is written by John Webb from The Department of Mathematics and Applied Mathematics at The University of Cape Town. With his permission I include it here as an advert for a book which is discussed at the bottom of the post. Mathemafrica receives no payment for including this text. I hope that in addition to being an advert for the book, this may be a chance for students to discuss some of the problems they see with the transition between school and University here in South Africa for maths students.

Why do so many first-year students fail varsity maths?
Thousands of students across South Africa have started their university careers, and many of them have enrolled for a course in Mathematics. Some will be aiming at a maths major, in particular those who hope to teach mathematics at school level. But far more will be doing maths as a requirement for their degrees in a whole range of areas.…

By Jonathan Shock| June 3rd, 2015|Background, English, Level: Simple|4 Comments

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