Orey (1998) proposes that learning mathematics makes powerful problem solvers who can break down complex problems into understandable elements and create clear effective and even original solutions. Successful mathematics students, according to Schielack (2000), can read critically, identify fallacies, detect bias, assess risk and suggest alternative solutions. Cotton (1999) postulates thus that mat

¨ Inference – predictions or generalisations to start off with;

¨ Polysemy, where a word may have two or more similar meanings (such as the openings in either a river or ones face suggested by the word mouth);

The language of mathematics and diversity

Sfard et al (1998), however, ask for the research to support this to be conducted first. Indeed, reflection may be just as important as articulation. The neo-pragmatist activities that promote student understanding are those that allow less mental privacy and more communicative skills (Secada & Berman, 1999). Biggs (1987, in McInerney & McInerney, 1998) suggests Chinese students are ahead of Western students in terms of their ability to reflect and problem solve, because of greater individual work giving the student time to construct their knowledge and assume responsibility for their learning (Secada & Berman, 1999).

Some topics in this essay:
Durkin Shire, Gibbs Orton, Andrew Wiles, Mathematics Teachers, Conclusion Sfard, McInerney McInerney, Yackel Cobb’s, Historically Euro-restrictive, Authors Wickett, Whereas Piaget, et al, gibbs orton 1994, gibbs orton, orton 1994, al 1998, sfard et al, et al 1998, sfard et, orey 1998, roberts nd, steele 1998, language mathematics, durkin shire 1991, mcinerney mcinerney 1998, shire 1991,