This webcast presents the proceedings of an educator workshop given by Dr. Akihiko Takahashi, Professor of Mathematics Education at DePaul University. The series of videos summarizes research of the Van Hiele levels 0, 1, and 2, and features scenes from the educator discussions and from classrooms of grade 4 and 5 students working the lessons. The overriding principle of the forum is the active noticings of both groups and the opportunity to discuss them. Videos are downloadable in both Quick Time and Windows Media formats. A viewer guide (pdf) is available.


  • Mathematics > General
  • Education > General

Education Levels:

  • Grade 1
  • Grade 2
  • Grade 3
  • Grade 4
  • Grade 5
  • Grade 6
  • Grade 7
  • Grade 8
  • Grade 9
  • Grade 10
  • Grade 11
  • Grade 12


Visualization,Make use of structure,NSDL,Grade 4,Teaching strategies,Spatial sense,Quadrilaterals,Express regularity,Representation,Teacher content knowledge,Analyze and persevere,Concept formation,Connections,Visual representation,Mathematical language,Grade 5,Attend to precision,Engineering,Construction,Angle measure,Angles,Modeling,oai:nsdl.org:2200/20140728160916463T,Use appropriate tools,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-027,Geometry,Reason abstractly,Practice Standards,Length,Elementary School,Reason quantitatively,Physics,Lines and planes,Systems of measurement,Upper Elementary,Communication,Metric,Mathematics,Plane geometry,Learning theory,Grade 3,Vocational/Professional Development Education,Measurement,Process skills,Education,Construct arguments,Reasoning,Triangles



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