Theory of Quantity

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During the recent EARCOME 7 conference, one of the exhibitors was a group of Japanese who showed participants how to create a lot of concrete learning materials (manipulatives) such as origami sculptures. I assume that they are members of The Association of Mathematical Instruction (AMI) because they gave me a complimentary copy of AMI’s Principles of Mathematics Education. Continue reading “Theory of Quantity”



I recently presented a poster and a paper at the 7th ICMI-East Asia Regional Conference on Mathematics Education (EARCOME 7) last May 11-15, 2015 at the Waterfront Cebu City Hotel.

Shown above is a picture of me with Frederick K. S. Leung (who was the honorary plenary lecturer) and Catherine P. Vistro-Yu (who was the international program committee chair).

The poster and the paper were based on parts of my dissertation with Dr. Vistro-Yu as my advisor. The poster had the title “Assessing Proportional Reasoning Skills and Understanding Using the Water Rectangle Task” and was co-authored with Dr. Vistro-Yu. (A copy of the poster is here. The poster is the one on top in the photograph above.)

The paper had the title “Teaching Proportional Reasoning Concepts and Procedures Using Repetition with Variation” and was co-authored with Dr. Vistro-Yu. (A copy of the slides is here. Also shown in the photograph above is the session chair Enriqueta Reston.)