DOCUMENT RESUME ED 452 032 SE 064 494 AUTHOR Nakahara, Tadao, Ed.; Koyama, Masataka, Ed. TITLE Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (PME) (24th, Hiroshima, Japan, July 23-27, 2000), Volume 2. INSTITUTION International Group for the Psychology of Mathematics Education. ISSN ISSN-0771-100X PUB DATE 2000-00-00 NOTE 320p.; For volumes 1-4, see SE 064 993-996. PUB TYPE Collected Works Proceedings (021) EDRS PRICE MF01/PC13 Plus Postage. DESCRIPTORS Algebra; Cultural Influences; *Educational Assessment; Elementary Secondary Education; Functions (Mathematics); Geometric Concepts; Geometry; Graphs; *Mathematics Curriculum; Mathematics Education; *Mathematics Instruction; *Problem Solving; *Statistics; Teaching Methods; Thinking Skills ABSTRACT The second volume of the 24th annual conference of the International Group for the Psychology of Mathematics Education contains full research report papers. Papers include: (1) "What you see is what you get: The influence of visualization on the perception of data structures" (Dan Aharoni); (2) "Exploring the transparency of graphs and graphing" (Janet Ainley); (3) "Describing primary mathematics lessons observed in the Leverhulme Numeracy Research Programme: A qualitative framework" (Mike Askew, Margaret Brown, Hazel Denvir, and Valerie Rhodes); (4) "An analysis of bracket expansion errors" (Paul Ayres); (5) "Knowing the sample space or not: The effects on decision making" (Paul Ayres and Jenni Way); (6) "The development of mathematics education based on ethnomathematics (2): Analysis of Universal Activities in terms of verbs" (Takuya Baba and Hideki Iwasaki); (7) "Maths as social and explanations for 'underachievement' in numeracy" (David A. Baker and B.V. Street); (8) "Year 6 students' idiosyncratic notions of unitising, reunitising, and regrouping decimal number places" (Annette R. Baturo and Tom J. Cooper); (9) "Factors influencing teachers' endorsement of the core mathematics course of an integrated learning system" (Annette R. Baturo, Tom J. Cooper, Gillian C. Kidman, and Campbell J. McRobbie); (10) "Students' conceptions of the integral" (Jan Bezuidenhout and Alwyn Olivier); (11) "The use of mental imagery in mental calculation" (Chris Bills and Eddie Gray); (12) "Readiness for algebra" (Gillian M. Boulton-Lewis, Tom J. Cooper, B. Atweh, H. Pillay, and L. Wilss); (13) "Students' knowledge of length units: Do they know more than rules about rulers?" (Philippa Bragg and Lynne Outhred); (14) "Becoming more aware: Psychoanalytic insights concerning fear and relationship in the mathematics classroom" (Chris Breen); (15) "Same/different: A 'natural' way of learning mathematics" (Laurinda Brown and Alf Coles); (16) "The effect of some classroom factors on grade 3 pupil gains in the Leverhulme Numeracy Research Programme" (Margaret Brown, Hazel Denvir, Valerie Rhodes, Mike Askew, Dylan Wiliam, and Esther Ranson); (17) "'Automatism' in finding a 'solution' among junior high school students: A comparative study" (Gildo Luis Bulafo) (18) "A study of the mathematical behaviors of mathematicians: The role of metacognition and mathematical intimacy in solving problems" (Marilyn P. Carlson); (19) "Bringing out the Reproductions supplied by EDRS are the best that can be made from the original document.