Welcome
This main page outlines all the major sections of my site. However, you may click
on the link above if you wish to go to the main part of my site now. Here you will find ...
1. ... Me
Here I give general information about my current job, research and contact details.
2. ... Teaching past
Here I outline the general places I have taught at between 1991 and the present,
the general levels I have taught at (from HND to undergraduate levels),
and the general topics I have taught (mathematics and computing).
3. ... Research summary
Here I outline the major domains of my research area, these being mathematics education,
personal construct psychology / self-organised learning, and phenomenology. Sepcifically, the major strands
of my research relate to : reading-to-learn mathematics texts, symbolism and diagrams with the aid of various reading techniques/strategies,
conversational methodologies designed to support students in constructivist learning, and the phenomenology of reading and learning.
4. ... UCL UPCSE mathematics course
Here I outline the mathematics module which I teach on the UCL preparatory course in science and engineering.
This part of the site contains subsections dealing with general course aims, structure, content, and assessment.
It also contains full syllabus and notes to download, along with tutorial sheets, and sample tests and exams.
5. ... UCC MA Mathematics Education course
This part of teh site is still under construction, but it will outline aspects dealing with two modules
offered on University College Chichester's MA course in Mathematics Education. These two modules are : discrete mathematics,
and Reading-to-Learn Mathematics. These two module are designed for teachers of mathematics who wish to pursue
either a certificate or diploma or MA qualification.
6. ... PhD
Here I present elements of my PhD. Included is the full abstract, introduction, chapter 1 and references.
One page summaries are then presented for all other chapters.
7. ... My Research
My main research areas are :
i. ... Self Organised Reading-to-Learn mathematics
Here I present in detail issues of my research into mathematics education and personal construct psychology.
I discuss issues relating to learning from one's reading from the mathematical English, mathematical symbolism, and mathematical diagrams,
of mathematics texts.
I also discuss in detail issues relating to constructing personal meaning to the mathematics texts that a student reads. This aspect relates to the
ways in which one comes to know the subject and the way one organises one's learning of the subject of mathematics.
This aspect is intimately related to both research methodology of the researcher and the personal methodology used by the learner to support such a personal
construction of meaning (this being a conversational methodology).
ii. ... Phenomenological issues in learning mathematics
Here I present a work in progress relating to the learning of mathematics from a phenomenological orientation.
My ultimate aim is to present and explain principles by which one may learn mathematics phenomenologically and thus develop a deeper, richer understanding of the subject.
I do this by addressing my own learning of new mathematics, as well as new learning of old mathematics.
8. ... The Humanist Movement
Here I provide a few links to the Humanist Movement sites, as well presenting Silo's twelve principles of coherent and valid action.
9. ... Rants
Here I present various quotes and comments which have struck me.
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