This paper recapitulates the lecture which Mike Cole, the Professor of Bishop Grosseteste University College Lincoln gave on the 15th September 2009 at the Graduate School of Education, Hiroshima University. The title of his lecture was "Critical Race Theory and Education". The purpose was to introduce the nature of Critical Race Theory (CRT) and examine the theory from the perspective of Marxist.

First, Cole explained two major tenets of CRT: '"white supremacy" rather than racism' and '"race" rather than class'. After the introduction of the tenets, he pointed out a number of problems of it. With regard to the tenet 1, '"white supremacy "rather than racism', he pointed out four problems: the tenet directs attention away from modes of production; it homogenises all white people; it could not explain non-colour-coded racism; it is counter-productive in rallying against racism. About the tenet 2, '"race "rather than class', he emphasised that social class is the system upon the maintenance of capitalism depends, although CRT claimed the significance of race.

Second, he referred the six strengths of CRT. CRT emphasises the importance of voice of coloured people; CRT reminds of the extent of racism in the modern world; CRT stands on the concept of chronicle; CRT emphasised interest convergence theory; CRT played a useful role in a reformist legal movement; CRT uses the concept of property to explain segregation and "white supremacy" historically.

Third, he described the role of school in terms of Marxism. From this perspective, schools should promote the learning without limits, antiracist multicultural education, the teaching of imperialisms, media education and the teaching of democratic socialism which was regarded as last taboo in schools.

Finally, Cole concluded that racialized capitalism is more useful than "white supremacy" and social class must remain central in any analysis of racialized capitalism.