Toward the problem-centered classroom: Trends in mathematical problem solving in Japan

ZDM - International Journal on Mathematics Education

Volumn 39, Issue 5-6, 2007, Pages 503-514

  Hino, Keiko ^a  

^a UTSUNOMIYA UNIVERSITY   (Japan)

Author keywords

Assessment; Mathematical problem solving; Mathematical thinking; Research and practice

Indexed keywords

EID: 70350390085     PISSN: 18639690     EISSN: 18639704     Source Type: Journal    
DOI: 10.1007/s11858-007-0052-1     Document Type: Article

References (47)

1. Becker, J. P., & Shimada, S. (Eds.). (1997). The open-ended approach: a new proposal for teaching mathematics. Reston, Virginia: NCTM. (Original work published 1977).
2. Fujii, T., Kumagai, K., Shimizu, Y., & Sugiyama, Y. (1998). A crosscultural study of classroom practices based on a common topic. Tsukuba Journal of Educational Study in Mathematics, 17, 185-194.
3. Hiebert J., et al. (2003). Teaching mathematics in seven countries: results from the TIMSS 1999 video study (NCES 2003-013), US Department of Education. National Center for Education Statistics, Washington DC.
4. Hino, K. (2006). The role of seatwork in three Japanese classrooms. In: D. Clarke, C. Keitel, & Y. Shimizu (Eds.), Mathematics classrooms in twelve countries: the insider's perspective (pp. 59-74). Rotterdam: Sense Publishers.
5. Ikeda, T. (2004). Sugaku teki modelling wo sokushin suru kangaekata ni shoten wo ateta sidomokuhyo no keiretsu to jyugyokosei ni kansuru kenkyu (A study on the sequence of teaching objectives and the lesson construction focused on thinking that will promote mathematical modeling). Research Journal of Mathematical Education, 81/82, 3-32.
6. Ito, S. (2001). Mondai kaiketsu (problem solving). In Japan Society of Mathematical Education (Ed.), Proceedings of the 34th conference of the Japan Society of Mathematical Education (Summary volume of topic groups, pp. 96-102). Tokyo, Japan: Author.
7. Japan Society of Mathematical Education Research Section (Ed.). (2000, August): School mathematics in Japan. Resources of the national presentation at the 9th International Congress on Mathematical Education, Makuhari, Japan.
8. Katagiri, S. (1988). Mondai kaiketsu katei to hatsumon bunseki (Problem solving processes and analysis of teacher's questioning). Tokyo: Meiji Tosho.
9. Katagiri, S., Koto S., Hiraoka T. (Eds.). (1985). Mondai kaiketsu no noryoku wo nobasu shido (Teaching for fostering problem solving ability). Tokyo: Meiji Tosho.
10. Koto, S. (1983). Problem solving to sugakuteki na kangaekata (Problem solving and mathematical thinking). Tsukuba Journal of Educational Study in Mathematics, 2, 1-8.
11. Koto, S., & Niigata-ken-sansu-kyoiku-kenkyukai (Eds.). (1992). Sansuka tayo na kangae no ikashikata matomekata (Ways of utilizing and summarizing various ways of thinking in elementary mathematics class). Tokyo: Toyokan.
12. Lester, F. K. (1994). Musing about mathematical problem-solving research: 1970-1994. Journal for Research in Mathematics Education, 25(6), 660-675.
13. Mase, H. (1982). Konnichiteki mondai kaiketsu no haikei ni tsuite (A study of background of problem solving today). Tsukuba Journal of Educational Study in Mathematics, 1, 3-11.
14. Ministry of Education, Culture, Sports, Science and Technology (2007). National assessment (On-line). Available: http://www.mext.go.jp/a_menu/shotou/gakuryoku-chousa/index.htm (in Japanese).
15. Miwa T., (Ed.), (1992). Nihon to America no sugakuteki mondai kaiketsu no sido (Teaching of mathematical problem solving in Japan and the US). Tokyo: Toyokan.
16. Morii, A. (2003). Mondai kaiketsu gakushu ni kansuru kyoiku genba no kadai (Tasks in the field of education on problem solving learning). In: Japan Society of Mathematical Education (Ed.), Proceedings of the 36th conference of the Japan Society of Mathematical Education (Summary volume of topic groups, pp. 80-82). Hokkaido, Japan: Author.
17. Mullis, I., Martin, M., Gonzalez, E., Chrostowski, S. (Eds.). (2004). TIMSS 2003 International Mathematics Report. Chestnut Hill, MA: TIMSS & PIRLS International Study Center.
18. Mullis, I., Martin, M., Gonzalez, E., Gregory, K., Garden, R., O'Connor, K., Chrostowski, S., & Smith, T. (2000). TIMSS 1999 International Mathematics Report. Chestnut Hill, MA: International Study Center.
19. Nagasaki, E. (1990). Problem solving. In: Sin Sansu Kyoiku Kenkyukai (Ed.), Sansu kyoiku no kiso riron (Basic theory of elementary mathematics education) (pp. 134-146). Tokyo: Toyokan.
20. Nagasaki, E., & Becker, J. P. (1993). Classroom assessment in Japanese mathematics education. In: N. L. Webb, & A. F. Coxford (Eds.), Assessment in the mathematics classroom (pp. 40-53). Reston, Virginia: NCTM.
21. Nagasaki, E., & Senuma, H. (1986). Sugaku kyoiku ni okeru mondai kaiketsu ni tsuite no kenkyu no doko (1) (Trends in research on problem solving in mathematics education). National Institute for Educational Research.
22. National Institute for Educational Policy Research (2002). Resource for constructing standards of and improving methods of assessment (On-line). Available: http://www.nier.go.jp/kaihatsu/houkoku/saisyu.htm (in Japanese).
23. Ninomiya, H. (2005). Sugaku gakushu ni okeru note kijyutsu to meta ninchi (Note-taking and metacognition in learning mathematics). In: Journal of Japan Society of Mathematics Education, 11, 67-75.
24. Nohda, N. (1983). Sansu/sugakuka open approach ni yoru sidou no kenkyu (A study of "open-approach" strategy in school mathematics teaching). Tokyo: Toyokan. (in Japanese).
25. Nohda, N. (2000). Teaching by open-approach method in Japanese mathematics classroom. In: T. Nakahara, & M. Koyama (Eds.), Proceedings of the 24th conference of the international group for the psychology of mathematics education (Vol. 1, pp. 39-53). Hiroshima, Japan: Hiroshima University.
26. Nunokawa, K. (2002). Kaiketsu katei eno chakumoku to kangaeuru kenkyu kadai (Focus on the solving processes and tasks for future research). In: Japan Society of Mathematical Education (Ed.), Proceedings of the 35th conference of the Japan Society of Mathematical Education (Summary volume of topic groups, pp. 60-70). Tottori, Japan: Author.
27. Nunokawa, K. (2005). Mondai keiketsu katei no kenkyu to gakushu katei no tankyu (Research on problem solving processes and exploration of learning processes). Journal of Japan Society of Mathematical Education, 54-2, 22-34.
28. Nunokawa, K. (2007). Shogakko 3 nensei ni yoru hireiteki suiron no kadai no kaiketsu (Solving proportional reasoning tasks by the 3rd grade children in elementary school). Joetsu Journal of Mathematics Education, 22, 1-10.
29. Okubo, K. (2002). Mondai kaiketsu no kongo no kenkyu no arikata (How to conduct research on problem solving in the future). In: Japan Society of Mathematical Education (Ed.), Proceedings of the 35th conference of the Japan Society of Mathematical Education (Summary volume of topic groups, pp. 51-53). Tottori, Japan: Author.
30. Sakitani, S. (2002). Kyoiku genba ga kitaisuru kenkyu. (Studies that are expected in the field of education). In: Japan Society of Mathematical Education (Ed.), Proceedings of the 35th conference of the Japan Society of Mathematical Education (Summary volume of topic groups, pp. 71-73). Tottori, Japan: Author.
31. Sawada, T., Sakai, Y., et al. (2005). Chugakkou sugaku 3 [Lower secondary school Mathematics, 3rd grade). Kyoiku Shuppan.
32. Schroeder, T. L., & Lester, F. K. (1989). Developing understanding in mathematics via problem solving. In: P. Trafton (Ed.), New directions for elementary school mathematics. Reston, VA.: NCTM.
33. Sekiguchi, Y. (2006). Mathematical norms in Japanese mathematics lessons. In: D. Clarke, C. Keitel, & Y. Shimizu (eds.), Mathematics classrooms in twelve countries: the insider's perspective (pp. 289-306). Rotterdam: Sense Publishers.
34. Shigematsu, K. (1995). Metacognition in mathematics education. In: Japan Society of Mathematical Education (Ed.), Views of mathematics learning toward theorizing (pp. 237-249). Tokyo: Sangyo Tosho.
35. Shimizu, N., & Yamada, A. (2003). Sugakuteki mondai kaiketsu ni okeru jiko sanshoteki katsudo ni kansuru kenkyu (VII) (Study on self-referential-activity in mathematical problem solving). Journal of Japan Academic Society of Mathematics Education: Research in Mathematics Education, 9, 127-140.
36. Shimizu, S. (1990). Basic examination of elementary mathematics education. In: Sin Sansu Kyoiku Kenkyukai (Ed.), Sansu kyoiku no kiso riron (basic theory of elementary mathematics education) (pp. 54-74). Tokyo: Toyokan.
37. Shimizu, Y. (1995). Bunsu no joho ni kansuru jido/seito no ninshiki (Students' thinking of division of fractions). Research Journal of Mathematical Education, 63/64, 3-26.
38. Shimizu, Y. (1999). Studying sample lessons rather than one excellent lesson: A Japanese perspective on the TIMSS videotape classroom study. Zentralblatt für Didactik der Mathematik, 6, 191-195.
39. Shimizu, Y. (2002). Sansu/sugakuka jyugyo ni okeru kodomo no monndai kaiketsu katei no bunseki ni mukete (Toward the analysis of students' processes of problem solving in the practice of mathematics classrooms) In: Japan Society of Mathematical Education (Ed.), Proceedings of the 35th conference of the Japan Society of Mathematical Education (summary volume of topic groups, pp. 54-59). Tottori, Japan: Author.
40. Shimizu, Y. (2005). Sugaku gakushu ni okeru "meta shiko" no kenzaika to sono sokushin ni kansuru kenkyu (A study on the analysis and promotion of "Meta-thinking" in learning mathematics). Research Journal of Mathematical Education, 86, 5-11.
41. Shimizu, Y. (2006). How do you conclude today's lesson? The form and functions of 'Matome' in mathematics lessons. In: D. Klarke, E. Jonas, E. Jablonka, & I. Mok (eds.), Making connections: Comparing mathematics classrooms around the world, (pp. 127-145). Rotterdam: Sense Publishers.
42. Stigler, J. W., & Hiebert, J. (1999). The teaching gap. New York: Free Press.
43. Sugita Elementary School. (1964). Kangaeru chikara wo nobasu tameno hatsumon to jogen (Teacher's questioning and suggestions for the purpose of fostering the students' ability of thinking). Yokohama, Japan: Author.
44. Takeuchi, Y., & Sawada, T. (Eds.) (1984). Mondai kara mondai e (From problem to problem). Tokyo: Toyokan.
45. Yabe, T. (2000). Gakko sugaku ni okeru jiko hyoka noryoku no keisei ni kansuru jisshoteki kenkyu (A study on formation of selfevaluation ability in school mathematics). Journal of Japan Society of Mathematical Education, 82(4), 2-11.
46. Yamazaki, K. (1995, November): Wagakuni no sugaku kyoiku ni okeru mondai kaiketsu ni kansuru kenkyu no doko (Trends in research on problem solving in mathematics education in Japan). Paper presented at the 28th conference of the Japan Society of Mathematical Education, Hiroshima, Japan.
47. Zenkoku Sansu Jyugo Kenkyu Kai (Ed.). (2006). Jyugyo kousei saikou (Reconstruction of lesson organization). Tokyo: Toyokan.