accessible to teachers Students can demonstrate their or students. knowledge of abstract relationships using The teacher models use of The teacher actively engages students in symbols, pictures and explanations, but (e.g., tangrams, manipulatives and directs manipulatives to construct and give The teacher does not are no longer dependent on rods, pattern student use of meaning to new concepts. model use of manipulatives. Some manipulatives, such blocks, compasses, manipulatives. manipulatives and as the graphing calculator, are appropriate algebra tiles, Students independently select students do not use for consistent use. graphing Students imitate use of appropriate manipulatives to make manipulatives. manipulatives without connections from symbols, pictures, and calculators, etc.) reflection, exploration, or explanations to concepts in order to Students use Students have internalized use of connection to symbols, problem solve and represent their ______ manipulatives manipulatives and can describe how pictures, and explanations. understanding of mathematics. inappropriately. manipulatives were used to develop an understanding of mathematical concepts.
(e.g., tangrams, rods, pattern blocks, compasses, algebra tiles, graphing calculators, etc.) ______ accessible to teachers or students. The teacher does not model use of manipulatives and students do not use manipulatives. Students use manipulatives inappropriately. The teacher models use of manipulatives and directs student use of manipulatives. Students imitate use of manipulatives without reflection, exploration, or connection to symbols, pictures, and explanations. The teacher actively engages students in manipulatives to construct and give meaning to new concepts. Students independently select appropriate manipulatives to make connections from symbols, pictures, and explanations to concepts in order to problem solve and represent their understanding of mathematics. Students can demonstrate their knowledge of abstract relationships using symbols, pictures and explanations, but are no longer dependent on manipulatives. Some manipulatives, such as the graphing calculator, are appropriate for consistent use. Students have internalized use of manipulatives and can describe how manipulatives were used to develop an understanding of mathematical concepts.
Teaching%20and%20Learning%20in%20the%20Mathematics%20Classroom%20Rubric%20and%20Data%20Sheet.docx