Just published:

P. Ransom, Some recollections of early experiences with mathematics, The De Morgan Gazette, 8 no. 3 (2016) 19-26.ISSN 2053-1451. bit.ly/2bM0RyS

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Just published:

P. Ransom, Some recollections of early experiences with mathematics, The De Morgan Gazette, 8 no. 3 (2016) 19-26.ISSN 2053-1451. bit.ly/2bM0RyS

As this table from Education Data Lab shows, show, retakes are of low value.

Read the whole article: Repeat After ‘E’: the treadmill of post-16 GCSE maths and English retakes, by Rebecca Allen

New mathematics artwork from Hamid Naderi Yeganeh.

This fractal is constructed by an Africa-like octagon and its lateral inversion.:

If we count the number of octagons of different sizes we get the **Fibonacci sequence**: 1, 2, 3, 5, 8, 13, 21, 34, … (see this animation: https://archive.org/download/Africa–Fractal/Africa-animation.gif)

The height of the biggest octagon is **φ** times longer than the height of second octagon; where φ is the **golden ratio. **(see the following image) It is a necessary and sufficient condition to see the white triangles in this fractal.

For more information see: http://www.huffingtonpost.com/hamid-naderi-yeganeh/importing-things-from-the_b_8111912.html

**A new vacancy**for a candidate with a PhD in mathematics and I am sending this email in the hope that you might have recommendations for potential applicants to this job. The job title is “Senior Mathematics Curriculum Designer” and the salary bracket is £36,000–48,000. Full details about the job and a link for interested applicants to apply is available athttp://www.chestnut.com/en/careers/952105480268/.**A two year postdoc**in Mathematics Education, with a focus on problem

solving, reasoning and educational design, is announced in Umeå, Sweden. The full announcement:https://umu.mynetworkglobal.com/en/what:job/jobID:111103 Information about Umeå Mathematics Education Research Centre: www.umerc.umu.se Information about Umeå University: www.umu.se/english

**A PhD position**on embodied, extended and embedded cognition from a philosophical or mathematics educational perspective, http://www.academictransfer.com/35679http://www.academictransfer.com/35679**or 3 positions as PhD students**(1,0 FTE) <http://www.peoplexs.com/Peoplexs22/CandidatesPortalNoLogin/Vacancy.cfm?PortalID=4063&VacatureID=849205>

The Digital Turn in Epistemology (DigTEp)

Research Project

DigTEp is a collaboration between the faculties of Science and of Humanities of Utrecht University (UU), and the faculty of Philosophy of Erasmus University Rotterdam (EUR). The multidisciplinary project DigTEp lies on the cross roads of:

- philosophy of mathematics (PhD 1)
- logic (PhD 2)
- ICT development and mathematics education (PhD 3)
All three PhDs will share an office at the Freudenthal Institute<http://www.uu.nl/en/research/freudenthal-institute> in the faculty of Science of Utrecht University.

Embodied, Embedded and Extended Cognition (E3C) marks the recent Turn in Epistemology, the philosophy of knowledge, as well as in Cognitive Science. The three Es indicate that our knowledge and capacities are not located in our skulls, but extend to, and are distributed over:

- our bodies, which are always embedded in their environment they interact with;
- the artifacts we use, varying from paper notebooks to ICT.
The mediation of knowledge acquisition and application by ICT is becoming so dominant and ubiquitous (smartphone, tablet, laptop, computer, world-wide web) that Epistemology must take a further, Digital Turn. DigTEp concentrates on the following epistemological questions: How to make sense of mathematical knowledge after the Turn in epistemology to E3C, given its abstract character? Does the Digital Turn affect the genesis and the essence of mathematical knowledge? When practical knowledge is primary and propositional knowledge is derivative (E3C), how does this ‘derivation’ work in a digital environment? To answer these pressing philosophical questions, an empirical case study in epistemology will be performed of the acquisition of mathematical knowledge and skills in a controlled ICT-embedded environment, by secondary-school pupils. For a more detailed description of the contents of DigTEp, and of the individual PhD projects, please send an e-mail to the supervisor of the PhD project you wish to apply for.