By Douglas H. Clements

In this significant booklet for pre- and in-service lecturers, early math specialists Douglas Clements and Julie Sarama convey how "learning trajectories" aid diagnose a child’s point of mathematical figuring out and supply information for educating. by way of targeting the inherent pride and interest in the back of younger children’s mathematical reasoning, studying trajectories finally make educating extra joyous. they assist lecturers comprehend the various degrees of information exhibited by means of person scholars, which in flip lets them larger meet the training wishes of all little ones. utilizing hassle-free, no-nonsense language, this ebook summarizes the present learn approximately how youngsters examine arithmetic, and the way to construct on what young children already understand to achieve more suitable teaching.

This moment version of Learning and instructing Early Math is still the definitive, research-based source to aid academics comprehend the training trajectories of early arithmetic and turn into critical execs.

Updates to the hot variation include:

• Explicit connections among studying Trajectories and the hot universal center kingdom Standards.

• New insurance of styles and patterning.

• Incorporation of hundreds of thousands of modern study studies.

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