Introduction to Representation, Gr. 3-5

In Introduction to Representation, Bonnie Ennis and Kimberly Witeck share ways to help students use algorithms, graphs, manipulatives, diagrams, and other written and pictorial forms to express math ideas. They offer an array of entry points for understanding, planning, and teaching, including strategies that help students internalize manipulatives and other models of mathematical thinking so that they can begin documenting their mathematical processes. Full of activities that are modifiable for immediate use with students of all levels and written by veteran teachers for teachers of every level of experience, Introduction to Representation highlights the importance of encouraging children to demonstrate their mathematical thinking techniques through a variety of mathematical means, while also recommending ways to implement representation-based teaching without rewriting your curriculum.