Saturday, April 8, 2017

Cognitive Science and the Common Core Math Standards

Cognitive Science and the Common Core Math Standards  
    a .pdf link  from Chem Review

This extensively documented 10 page paper  contains the truth that current pushers of Reform Math do not wish to acknowledge.  This paper has a well reasoned analysis of various aspects of the CCMS - Common Core Math Standards. It looks at cognitive science and learning.

Overview: The OECD tested numeracy (solving problems with mathematical content) in 22 nations and USA placed last at #22 out of 22.

Between 1984 and 2011, as a percentage of bachelor's degrees awarded, the percentage of degrees awarded in physical sciences and engineering fell by 40%.  Nearly 60% of Freshman who declared their intent to major in Science, Technology, Engineering, or Mathematics (STEM fields) failed to attain those degrees within 6 years.
The paper explains what went wrong.

It covers Cognitive Architecture.

It does a standards analysis over the years.

Covers CCSS adoption.

It looks at addition and subtraction and automaticity.

Learning facts- sequence and timing

Standard Algorithms.  --

Theories of Learning
  Reasoning vs Algorithms
  Discovery and Misconceptions
  Activities and Conceptual Understanding

Conclusion :  CCMS are an improvement over 1989 NCTM type standards.
However the repeated delays and omissions in memorization result in learning strategies that simply do not work.  The 2010 Math standards are at odds with 2017 Cognitive Science.  A re-examination is required.

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