Mathematics Teaching and Learning Strategies in PISA

This report offers policy insights and stimulates new research to complement and further develop the recent OECD Teaching and Learning International Survey (TALIS) and the upcoming PISA 2012 assessment, which will again focus on mathematics. The report aims to identify instructional practices and learning strategies that contribute to increased achievement in mathematics and general knowledge. It then explains how these strategies may be related to different countries’ school system structures.

Kac-Moody Algebras in M-theory

Trigonometry Notes

From the table of contents: Review of Functions; Rational Functions; Elementary Trigonometry; Graphing Trigonometric Functions; Trigonometric Identities; Advanced Trigonometric Concepts; Triangle Trigonometry; Selected Answers to the Exercises.

Smooth Differentiable Spaces

The volume develops the foundations of differential geometry so as to include finite-dimensional spaces with singularities and nilpotent functions, at the same level as is standard in the elementary theory of schemes and analytic spaces. The theory of differentiable spaces is developed to the point of providing a handy tool including arbitrary base changes, infinitesimal neighbourhoods, sheaves of relative differentials, quotients by actions of compact Lie groups and a theory of sheaves of Frechet modules paralleling the useful theory of quasi-coherent sheaves on schemes.

Earth Sciences and Mathematics, Volume II

A Complutense International Seminar on "Earth Sciences and Mathematics" was organised and held in Madrid at the Facultad de Ciencias Matemáticas of the Universidad Complutense de Madrid in September 2006. Scientists from both fields, Mathematics and Earth Sciences, took part in this International Seminar, addressing scientific problems related to our planet from clearly complementary approaches, seeking to gain and learn from this dual approach and proposing a closer collaboration in the near future.