Exercise 1

Sketch out a tentative list of chapter headings for your research dissertation as has been done in Table 1

• 1. The problem or area of investigation clearly defined, and the aims of the project.
• 2. A review of the relevant education research literature.
• 3. The research hypotheses and plan (and the context of enquiry)
• 4. The implimentation of the plan
• 5. The results of the project
• 6. The significance of the results .
• 7. The implications of the research and its findings for teaching
• 8. Assessing the research project itself, and its significance for the researcher.
• References (list of publications referred to)

• 1. Triangulation of 'divergent' ideas in mathematics and biology.
• 2.
• 3.
• 4. Q-analysis of Ernest's dualist-nondualist surveys.

In typological thinking, the species is the object of study. Individual organisms are sports or deviations from the species 'type'. The typological concept of species has parallels with the Platonic concept of 'types'. In the Platonic concept, real everyday triangles are imperfect examples of the 'archetype' triangle.

In Plato's cave, archetype's are clustered around a fire. They cast shadows on the cave wall. These shadows are the everyday objects that we see in the imperfect real world.

In population thinking, the individual organisms are the objects of study. The species concept is an artificial (but useful) construction that groups organisms. There are various definitions of species.