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TIAN Bundle 5 Articles and References (For Teachers) about Geometric Thinking

About van Hiele:

About Triangles:

About Perimeter and Area:

  • Beck, S.A., Huse, V.E., & Reed, B.R. (2007). How Does Your Mathematical Garden Grow? in Mathematics Teaching in the Middle School, (13)2, 69-76.In this article, middle school students move from determining perimeter and area to discovering functional relationships with perimeters and areas.
  • Pagni, D.L. (2006). Finding Areas on Dot Paper in Mathematics Teaching in the Middle School, (12)5, 274-278.Students using dot paper to find the area of rectangles, triangles, parallelograms, and trapezoids readily see how the various formulas were derived. Sample worksheets are included.