the california mathematics standards. the california standards come in two flavors general standards...

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The California Mathematics Standards

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Page 1: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

The California Mathematics Standards

Page 2: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

The California Standards come in two flavors General Standards Green dot standards

Page 3: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards
Page 4: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards
Page 5: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards
Page 6: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

California Intervention The new California Framework has

the same standards as the 1998 Framework.

But it also has a new appendix on intervention programs.

Page 7: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards
Page 8: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards
Page 9: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

Algebra Readiness For at risk students there is also a

discussion of the requirements for algebra preparedness:

Page 10: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards
Page 11: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

The original material Unfortunately, politics muddied the

water, and the exposition is not quite what H.-H. Wu and I provided.

Page 12: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards
Page 13: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards
Page 14: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

The NCTM Focus Topics

Page 15: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

The Focus Topics

Page 16: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

The Focus Topics

Page 17: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

The Role of the Focus Topics

NCTM regards the Focus Topics as a description of how an effective curriculum in mathematics should look.

But comparing the Focus Topics with most state standards reveals a very poor fit.

An exception is California. The Green Dot standards closely align with the

Focus Topics. In CA, 85% of the state assessments in mathematics are on these standards.

Page 18: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

Focus Topics – Numbers

Page 19: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

Focus Topics Fractions

Page 20: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

Focus Topics Fractions, Ratios

Page 21: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

Focus Topics, Algebra, Data

Page 22: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

A Consensus is Emerging

In fact, standards designed in this way cut the need for intervention and support

maximal achievement for all students

Page 23: The California Mathematics Standards. The California Standards come in two flavors General Standards Green dot standards

The Programs in the top achieving countries follow these principles.

And their data comprises literally billions of people