Great things about the American Common Core standards in Mathematics

posted Mar 23, 2017, 11:59 AM by Prashant Bhattacharji   [ updated May 23, 2017, 3:55 AM ]
Differentiation- Curves

various aspects of that syllabus
  • A fair bit of focus on statistics and probability. There are chapters devoted to the real world use of these topics in data analysis, statistical inference, interpretation of data and decision making. This is extremely appropriate in the data driven age where one is far more likely to encounter a problem requiring an understanding of statistics than differential or integral calculus which constitute too large and disproportionate a fraction of the high school math curriculum in various countries like India, Singapore, China and UK. 
  • The visual approach to graphs of functions is commendable. The best way to explore linear, nonlinear, polynomial, exponential and logarithmic functions is to analyze them visually, Visualization makes various difficult topics far easier to comprehend. Whether it is statistical distributions quadratic functions cubic polynomialsquartic curves
  • The section on modeling. Again a great topic to teach students about how to pull together their understanding of a variety of topics in Mathematics, and use all tools in their arsenal to solve real world problems related to design, path analysis, personal banking and resource estimation. 
  • Merging euclidean and analytical geometry. This does make a lot of sense as both are two different ways of looking at the very same thing. This also makes it easier to establish a flow the two forms of geometry. Various problems can be approached using either of the approaches. Applying geometric methods, concepts of density and mensuration and modeling real world objects are tasks which may be accomplished using either euclidean or analytical geometry, along with a knowledge of regular mensuration principles. 
  • To summarize - the real world relevance of the American Common Core math standards is something worth emulating in other countries and systems where calculus, real analysis and complex analysis often dominates the subject matter.