Subject-specific findings

Mathematics:

Fractions

"Developing Effective Fractions Instruction for Kindergarten through 8th Grade"
http://ies.ed.gov/ncee/wwc/PracticeGuide.aspx?sid=15

Summary of key principles:
  • "Build on students' informal understanding of sharing and proportionality to develop initial fraction concepts.
  • Help students recognize that fractions are numbers and that they expand the number system beyond whole numbers. Use number lines as a central tool in teaching this and other fraction concepts from the early grades onward.
  • Help students understand why procedures for computations with fractions make sense.
  • Develop students' conceptual understanding of strategies for solving ratio, rate and proportion problems before exposing them to cross-multiplication as a procedure to use to solve such problems.
  • Professional development programs should place a high priority on improving teachers' understanding of fractions and how to teach them."
Source: http://www.cmu.edu/news/archive/2010/October/oct1_teachingguideforfractions.shtml

Hung-Hsi Wu:

"Teaching fractions in elementary school: A manual for teachers"
http://math.berkeley.edu/~wu/fractions1998.pdf

"Some remarks on the teaching of fractions in elementary school"
http://math.berkeley.edu/~wu/fractions2.pdf
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