Revised Edition The new edition of the manuals for grades 1 to 4 provides numerous suggestions for daily teaching practice based on solid background information regarding all content-related and process-related competency areas of the educational standards. A particular focus is placed on ideas for individual diagnostics and support in heterogeneous learning groups. Each manual includes a CD with templates that can be customized. In addition, other general topics are addressed. 1st Grade General topics include: goals of mathematics education, classroom culture, classroom organization, learning with materials, and mathematics learning before school enrollment. 2nd Grade General topics include: heterogeneity, specific difficulties in calculation, support for high-achieving children, performance measurement, and performance assessment.