Thursday, March 3, 2016

Math problems of the week: German vs. American math goals

From a University of Wuerzburg page on Mathematics teaching in Germany:

2.2 Goals of mathematics teaching

Syllabi point out leading ideas and goals for mathematics teaching concerning:
  • mathematics as a theory and as a tool for solving problems in natural and social sciences, including modelling;
  • experiences with fundamental ideas in mathematics like the idea of generalization, the need for proving, structural aspects, algorithms, the idea of infinity, and deterministic versus stochastic thinking;
  • methods of getting insight like inductive and deductive reasoning, methods for proving, axiomatics, formalization, generalization/specification, heuristic work; 
  • variation of argumentation levels and representation levels in all fields and aspects of mathematics teaching; and
  • historical aspects of mathematics.


From The U.S. Common Core Standards for Mathematical Practice:

CCSS.MATH.PRACTICE.MP1 Make sense of problems and persevere in solving them.

CCSS.MATH.PRACTICE.MP2 Reason abstractly and quantitatively.

CCSS.MATH.PRACTICE.MP3 Construct viable arguments and critique the reasoning of others.

CCSS.MATH.PRACTICE.MP4 Model with mathematics.

CCSS.MATH.PRACTICE.MP5 Use appropriate tools strategically.

CCSS.MATH.PRACTICE.MP6 Attend to precision.

CCSS.MATH.PRACTICE.MP7 Look for and make use of structure.

CCSS.MATH.PRACTICE.MP8 Look for and express regularity in repeated reasoning.

1 comment:

Karen W said...

Our state University used to have this advice (about the importance of facility with paper and pencil computation to prepare for higher level mathematics) on their website. Looks like they've finally taken it down in some sort of website update.