
ShiangTung Liu Professor [Publication Lists]
A. Position & degree Professor & Director, Graduate school of math & science education, National Chiayi University, Taiwan, R.O. C.
1.National Kaohsiung Normal University（Bachelor of Science, Major in Mathematics） 2.The University of Memphis (Master of Science, Major in Mathematics Education). 3.The University of Memphis (Doctor of Education, Major in Mathematics Education).
B.My book & Book Chapter
1.Liu, S. T. (2007). The use of questioning in helping students solve rational and proportional problems in math instruction (2nd edition). Taipei City：Shtabook Publishing. 2.Liu, S. T. (2001). Practicing mathematics writing activities to develop problem posing ability in elementary school teachers. Taipei County：Wenjing Publishing. 3.Huang, K. H., & Liu, S. T. (2005). The Study of Practicing Lesson Plan of Matching Up Activities. (Book chapter). Taipei: Psychology Publishing.
C.Services & Academic Accomplishments
1.The director of Graduate school of math & science center, National Chiayi University (2010.08). 2.The director of Teacher education center, National Chiayi University (2006.082008.07). 3.The chairman of department of math education, National Chiayi University (1998.082002.07). 4.The chairman of the graduate institute of math education, National Chiayi University (2000.08 2002.07). 5.The director of teacher education center, National Chiayi University (2007.08 ). 6.A committee member of mathematical curriculum and instruction, Ministry education of Taiwan (2000.082010.7). 7.Mr. Wang, my advisee got excellent thesis prize from the association of curriculum and instruction (2008). 8.Ms. Yang, my advisee got fund for mathematics textbook analysis from National Compilation Organization(2008). 9.Ms. Weng, my advisee got excellent thesis prize from the association of curriculum and instruction (2004). 10.Mr. Hwang, my advisee got the thesis prize from Education foundation fund of Professor Jia, Fuming (2004). 11.Ms. Weng, my advisee got the thesis prize from National Science Council (2003). 12.Mr. Hwang & Ms. Wu. My advisees got recognition of contribution in Great Teaching 2003 and an award of excellence from National Taiwan Normal University and Chinese Creativity Development Association (2003). 13.Ms. Chen, my advisee got the thesis prize from National Science Council (2002). 14.1995、96、98 & 99 got research rewards from National Science Council.
D.Publication list (Journal)
1.Liu, S. T., Huang, K. H., & Su, Y. C. (2010). The visualization presentation for problem solving strategies – Taking examples from the contrasted activities of part to whole relationships. Science Education Monthly, 329, 27. 2.Huang, T.W., Liu, S. T., & Lin, C. Y. (2009). Preservice teachers’ mathematical knowledge of fractions [Electronic version]. Research in Higher Education Journal, 5, 18. (NSC 962511S 415002). 3.Liu, S. T., & Ho, F. C. (2008). Conjecture Activities for Comprehending Statistics Terms through Speculations on the Functions of Imaginary Spectrometers. The Australian Mathematics Teacher, 64(3), 1724. 4.Liu, C. Y., & Liu, S. T. (2008). Analyses of Problem Solving Performance of Factor and Multiple Problems of Gifted Seventh Grade Students. Journal of Gifted Education, 2008, 8(1), 4766. (Correspond author:Liu, Shiangtung). 5.Li, P. H., & Liu, S. T. (2008). The analysis of a gifted child’s spontaneous strategies of problem solving for the cross proportional problems. Submitted to Gifted Education Quarterly. (Correspond author:Liu, Shiangtung). 6.Tsai, Z. Y., & Liu, S. T. (2007). How are gifted students thinking about “Speed”. Journal of Gifted Education, 2007, 7(1), 2947. (Correspond author:Liu, Shiangtung). 7.Liu, S. T. (2007). The way how should we teach and the content what should be taught for the school mathematics: Reflection from the visiting public secondary schools of the Melbourne city, Australia? Science Education Monthly, 300, 2631. 8.Wang, Z. M., & Liu, S. T. (2007). An analysis of a gifted child’s spontaneous strategies used in solving fractional division problems. Gifted Education Quarterly, 104, 819. (Correspond author:Liu, Shiangtung). 9.Chen, G. C., & Liu, S. T. (2007). The study of a seventh grader’s concept development of ratio and proportion. Taiwanese Mathematics Teacher, 10, 1238.(Correspond author:Liu, Shiang tung). 10.Lin, H.L, & Liu, S. T. (2006). The applications of Farey sum on solving rate problems. Science Education Monthly, 287, 2029.(Correspond author：Liu, Shiangtung). 11.Hung, C. H., & Liu, S. T. (2006). The development and practice of situated cognition teaching activities in the factors unit—using poker games as an example. Chinese Journal of Science Education, 14, 127. (Correspond author：Liu, Shiangtung). 12.Yen, T. B. , & Liu, S. T. (2005). A six grader’s performance on solving ratio problems case study norming performance at fraction numbers. Research and Development in Science Education Quarterly, 41, 4473（Correspond author：Liu, Shiangtung）. 13.Liu, S. T., & Se, H. H. (2005). Which is the sweeter solution between two honey cups? Edumath, 21, 7580. 14.Se, H. H.,& Liu, S. T. (2005). A fourth grader’s performance on solving operator problems. Research and Development in Science Education Quarterly, 40, 1334. (Correspond author:Liu, Shiangtung). 15.Yeh, G. D., Liu, S. T. (2005). A seven grader’s performance on solving speed problems, Science Education Monthly, 279, 220. (Correspond author:Liu, Shiangtung). 16.Liu, S. T., & Huang, K. H. (2005). The types and examples of mathematics writing. Taiwanese Mathematics Teacher, 1(1), 17. 17.Huang, K. H., & Liu, S. T. (2005). Using poker games in mathematics as a creative means of teaching factor problems：An action research approach. Bulletin of Educational Research, 51(1), 95129. 18.Chang, Y. P., & Liu, S. T. (2005). A fifth grader’s performance on solving ratio problems. Research and Development in Science Education Quarterly, 39, 3959. 19.Hung, C. H., & Liu, S. T. (2004). A fifth grader’s performance on solving the unit partition of fraction problems. Research and Development in Science Education Quarterly, 35, 5375. 20.Liu, S. T. (2003). Is constructivism instruction of mathematics from the way of simplicity to of complication? Teacher Companion, 44(1), 811. 21.Weng, Y. C., & Liu, S. T. (2003). A study of solving simple proportion problems by a third grader. Research and Development in Science Education Quarterly, 31, 3253. 22.Wey, T. M., & Liu, S. T. (2003). The construction of proportion problems of schoolchildren. Research and Development in Science Education Quarterly, 32, 87108. 23.Huang, K. H., Liu, S. T. (2003). The fifth graders’ difficulties of learning factors unit. Research and Development in Science Education Quarterly, 30, 5270. 24.Huang, K. H., Liu, S. T. (2003). Practicing an innovative mathematics teaching activity Using poker games to teaching factors unit as examples. Research and Development in Science Education Quarterly, 33, 7090. 25.Ho, F. C., & Liu, S. T. (2003). The innovative teaching for statistics measuresConjecturing the role of spectrum instrument. Research and Development in Science Education Quarterly, 33, 5469. 26.Li, M. L., & Liu, S. T. (2003). The new window of algebra teaching. Science Education Monthly, 265, 215. 27.Liu, S. T., Weng, Y. C.,& Wu, M. Z.(2003). The effects of calculator teaching activities to decimal comparisonsA case study from a sixth grader. Teacher Companion, 10, 251280. 28.Huang, W. C.,& Liu, S. T.(2003). Overcoming a sixth grader’s misconception of decimal numbers by using the base ten blocks. Research and Development in Science Education Quarterly, 30, 7193. 29.Liu, S. T.& Huang, K. H.(2003). The study of practicing teaching module of divisors’ number. Chinese Journal of Science Education, 11(3), 235256. 30.Chen, S. J., & Liu, S. T. (2002). The accessible teaching strategies of mathematics discussion in an elementary classroom. Chinese Journal of Science Education, 10(1), 87107. 31.Lo, J. J., Hung, C.C., & Liu, S.T. (2002). An analysis of teacher education reform in Taiwan since 1994 and its potential impact on the elementary school level. International Journal of Education Research, 37, 145159. 32.Shen, M. H., & Liu, S. T. (2002). Analyzing literatures of students’ solving proportion problems － Suggestions for curriculum and instruction of elementary mathematics. Research and Development in Science Education Quarterly, 27, 8196. 33.Chen, H. M., & Liu, S. T. (2002). A case study of a fifth grader’s probability conceptions. Journal of Research on Elementary and Secondary Education, 8, 133 158. 34.Chen, H. M., & Liu, S. T.(2002). To explore instruction and curriculum from document analysis of children’s probability misconceptions. Research and Development in Science Education Quarterly, 26, 4051. 35.Huang, K. H., & Liu, S. T. (2002). Happy mathematics classes from practicing innovating teaching on divisor teaching unit. Research and Development in Science Education Quarterly, 26, 5264. 36.Liu, S. T., Wu, M. Z., & Weng, Y. I. (2002).The effects of using calculator teaching activities on learning decimal numbers. Research and Development in Science Education Quarterly, 26, 2239. 37.Liu, S. T., Chou, L. S. (2001). Developing elementary school teachers’ problem posing abilities: Examples of teaching multiplication and division of fractional numbers. Chinese Journal of Science Education, 9(1),1534. 38.Chen, Y. T.,& Liu, S. T.(2001).The implications of multiple intelligence for math instruction. Research and Development in Science Education Quarterly, 25, 81100. 39.Chen, S. J., & Liu, S. T.(2001). The difficulties of mathematics discussion from an elementary school teacher. Educational Research & Information, 9(2), 125146. 40.Liu, S. T., Wu, R. X.,& Huang, C. I. (2000). Mathematics problem posing of an elementary teacher: Analysis from students’ mathematics writing on number & quantity. Educational Research & Information, 8(4), 141166. 41.Wu, M. R.,& Liu, S. T. (2000).The study of calculators integrated into math instruction of Elementary school. Research and Development in Science Education Quarterly, 19, 6172. 42.Lin, C. R., & Liu, S. T. (2000).The instruction of volume concept from the viewpoint of unit quantity. Research and Development in Science Education Quarterly, 21, 4455. 43.Liu, S. T, & Chou, L. S. (1999).The development of teaching practice curriculum at proportion problems. ChungShi Bulletin of Mathematics and Science, 3(1), 125. 44.Chou, L.S., & Liu, S. T. (1998).The effects of math writing activities on problem solving abilities of Elementary Students. Education Research and Information, 6(3), 4662. 45.Liu, S. T., & Ho, S. H. (1997).The evaluation of available CAI courseware used by children with mild mental retardation. Bulletin of Chiayi Teacher College, 11, 309342. 46.Liu, S. T.,& Chou ,L. S.(1997). Mathematics writing activities – A communication tool of instruction for the elementary mathematics. Journal of Research on Elementary Education, 3, 239262. 47.Chou, L.H., & Liu, S. T. (1997). The relations between problemsolving strategies and math abilities of elementary school students – An exploration in solving “Blocks Problem”. Journal of Research on Elementary Education, 3, 2544. 48.Liu, S.T. (1994). The exploration of integrating calculators into elementary mathematics education. Bulletin of Chiayi Teacher College, 8, 313336. 49.Liu, S. T. (1994). The role of writing activities on mathematics instruction. Teacher Companion, 35(5),3236. 50.Liu, S. T. (1990). The methods of using microcomputer to increase the effective decimal numbers: Overcoming the situations of overflow value. Science Education Monthly, 133, 211. 51.Liu, S. T. (1989).The relationships between the characteristics of recurring decimal and prime numbers. Science Education Monthly, 125, 4853. 52.Liu, S. T. (1989). The explanatory to Fabonacci sequence. Teacher Companion, 30(5), 610. 53.Liu, S. T. (1985). Relationships between student Piagetian cognitive development and the learning mathematics in junior teachers college. Bulletin of Chiayi Junior Teacher College, 15,253274.
E. Conference papers 1.Tseng, C. C., & Liu, S.T. (2010). The comparison study on mathematics problemsolving performance between traditional assessment and writing assessment：Exploration of pattern problems. 2th Conference on Technology and Mathematics Education. Department of mathematics Education, National Taichung University. 2.Liu, S.T., Chen, J. C. & Yao R. F. (2010). Mathematizing Binary Numbers for Gifted Seventh Graders through Conjecture Activities. 2th Conference on Technology and Mathematics Education. Department of mathematics Education, National Taichung University. 3.Liu, S.T., & Su, Y. J. (2010). A case study: Role of metacognition in solving nonroutine mathematics problems. 8th Hawaii International Conference on Education. Honolulu, Hawaii. Jan. 710, 2010. 4.Liu, S.T., & Chen, J. C. (2009). How did Tom use visual representations to solve nonroutine problems? National Association of Gifted Children 56th Annual Convention & Exhibition, Nov. 49, 2009. St. Louis, Missouri. 5.Liu, S. T. (2006). Scaffolding for a gifted child’s mathematics problem solving. Paper presented at Mathematical meeting and annual meeting of the mathematical society. Department of mathematics, National Taiwan Normal University. 6.Liu, S. T., & Steinle, V. (2006). Analyses of spontaneous problem solving strategies: Case studies of gifted Taiwanese children. Paper presented at 53rd Annual Convention National Association for Gifted Childen, Novermber 15, 2006. Charlotte, North Carolina. 7.Liu, S. T., & Ho, F. C. (2006). Conjecture activities to learn statistics terms. Paper presented at the conference of the Perspective of mathematics curriculum development and teaching at National Chiayi University, Minghsiung campus. 8.Liu, S. T. (2005). Formulating the target problems to develop a third grader problem solving ability: analyzing strategies of the source problem as resources. Paper presented at The ICMI Eastern Asia Regional Conference of Mathematics Education 3 at East China Normal University, Shanghai City, China. 9.Liu, S. T., & Ho, F. C. (2005). Conjecture activities for comprehending statistics terms through speculations on the functions of fictitious dpectrometers. Paper presented at the PME 29 at University of Melbourne, Australia. 10.Liu, S. T., & Kao, S. (2005). Developing Tony’s rational number concept through math writing. The International Conference of Reading and Writing on Science and Mathematics Education at National Changhua University of Education。 11.Lo, j. j., Hung, C .C., ＆ Liu, S. T. (2001). An analysis of the recent reform in elementary teacher education in Taiwan and its potential impacts on the mathematics teaching at the elementary school levels. Paper presented at the Research Profession of the 2001 Annual Meeting of the National Council of Teachers of Mathematics. April 24, 2001, Orlando, FL. (2001).
F. Research directions & projects
Research direction 1. Mathematics concept development 2. Mathematics writing activity 3. Mathematics problem solving 4. Gifted mathematics education
My research grants 1.Liu, S. T. (2010). Develop Higher Order Mathematics Problem Solving Scale from Analyzing Problem Solving Performance of Elementary Students (2/3)（NSC98 2511S003MY3）. 2.Liu, S. T. (2009). Develop Higher Order Mathematics Problem Solving Scale from Analyzing Problem Solving Performance of Elementary Students (1/3)（NSC98 2511S003MY3）. 3.Liu, S. T. (2008). The study of analysis of problem solving and designing mathematics activities for gifted children（2/3）.（NSC95 2521S004MY3） 4.Liu, S. T. (2007). The study of analysis of problem solving and designing mathematics activities for gifted children（1/3）.（NSC95 2521S004MY3） 5.Liu, S. T.（2006）. The study of constructs、operation ability、and norming ability of rational numbers for the senior elementary students (3/3). （NSC942521S425001）. 6.Liu, S. T.（2005）.The program of science education production：The theory and practice of mathematics questioning（NSC932511S415005）. 7.Liu, S. T. (2005). The study of constructs、operation ability、and norming ability of rational numbers for the senior elementary students.(2/3)（NSC932521S425001）. 8.Liu, S. T.（2004）. The program of science education production：Problem posing design and problem solving analysis of elementary mathematics (NSC922521S415004）. 9.Liu, S. T. (2004). The study of constructs、operation ability、and norming ability of rational numbers for the senior elementary students(1/3).（NSC922521S425001）. 10.Liu, S. T. (2003). The development and practice of instructional module for integrated nine years math curriculum. (NSC912521S415002). 11.Liu, S. T. (2001). The development of proportional concepts from the viewpoint of unit quantity. ( NSC892511S415002).
G. My graduated advisees and their theses.
1.Tseng, C. C. (2010). The comparison study on mathematics problemsolving performance between traditional assessment and writing assessment：Exploration of pattern problems. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 2.Tseng, H. H. (2010). The Study of Implementing Openended ApproachExemplar from factor and multiple. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 3.Chiang, C. W. (2010). The Study of a Gifted Student’s Performance on Speed Problem Solving. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 4.Ching, K. P. (2009). The Study of Open Approach for The Seventh Grade student cases in Junior High School Mathematics Class. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 5.Yang, M. C. (2009). A Study on the Multiplication Topic of Elementary Mathematics Textbooks for Second and Third Grade Students between Taiwan and U.S.A. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 6.Yeh, C. C. (2009). The case studies of performance for the two seventh grade gifted students on solving number pattern problems. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 7.Liu, C. Y. (2009). The Study of problem Solving Related to Factor and Multiple Problems for the Seventh Grader Difted Cases. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 8.Jhang, S. R. (2009). The Study of Analyzing Gifted Students on Solving Speed Problems. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 9.Chen, S. G. (2008). The study of questioning techniques used in the Elementary classroom. Unpublished dissertation of the graduate institute of education, National Tainan University. 10.Lin, H.L, & Liu, S. T. (2008). The study of achievement of mathematics learning by questioning approach — solving on the fraction norming problems by a 7th graders’, for example. Unpublished dissertation of the graduate institute of education, National Tainan University. 11.Kang, S. J. (2008). The study of decision making from an school teacher’s questioning instruction. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 12.Tsai, Z. Y. (2008). Investigate the performance of sixthgrade gift students on speed problems. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 13.Lee, P. H. (2008). Scaffolding students’ learning the continued proportion problems : base on spontaneous strategies of gifted students. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 14.Wang, C. M. (2008). The study of scaffolding students’ learning of fractions division from gifted children spontaneous strategies exemplar from extended partititve division. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 15.Chen, J. W. (2007).Exploring the sixth graders’ ability in fraction norming problem. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 16.Chen, C. C. (2007). A case study of a junuor high school student’s development in solving mathematical problems of ratio and proportion. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 17.Huang, S. M. (2007). The effect of questioning on quotient problems solving of fifth students. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 18.Tseng, C. F. (2007). Effects of revising writing and feed backing activities to the sixth grades elementary school students on rational numbers as measure task. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 19.Wu, S. H. (2007). A study of integrating caculators into remedial instruction on comprehension of division algorithm for decimals. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 20.Yen, C. P. (2006). Exploring the sixth graders’ problem solving patterns and their levels of understanding of norming taskdivision of fraction, for example. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 21.Chiu, W. C. (2005).A seventh grader’s performance in solving equivalent fraction task. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 22.Hung, C. H.(2005).A sixth grader’s performance in solving rational numbers as measure task. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 23.Chang, Y. P.(2005).The solution categories of two elementary students in solving rational as ratio task. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 24.Shin, H. H.(2005).Exploring a fourth grader’s performance of solving rationalasoperator tasks Form the perspective of a junior high school teacher. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 25.Yen, G. D.(2005).A seventh grader’s study of solving speed problems. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 26.Ho, M. H.(2005).A research on ninth graders’ solving the inclusive relation of quadrilaterals. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 27.Hwang, J. C.(2005).A study of solving inverse function problems from first grader of senior high school students. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 28.Li, M. L.(2004).A study of solving arithmetic sequence problems from a second grader of a middle school student. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 29.Ho, F. C.(2004).Using tangram to study on abilities of developing fraction norming in the sixth grade elementary students. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 30.Huang, K. H.(2003).A study of the implementation of divisor numbers instructional module in two upper grade elementary classrooms. Unpublished thesis of the graduate institute of elementary education, National ChiaYi University. 31.Weng, Y. C.(2002).A study of solving proportion problems from a third grader of an elementary school student. Unpublished thesis of the graduate institute of elementary education, National ChiaYi University. 32.Chen, H. M.(2002).A case study of three elementary school students’ solving probability problems. Unpublished thesis of the graduate institute of elementary education, National ChiaYi University. 33.Shen, M. H.(2002).The study of practicing teaching module of proportion problem「Stretchers and shrinkers」unit as an example. Unpublished thesis of the Graduate institute of math education, National Chiayi University. 34.Lin, R. R.(2001).The volume concept of elementary students: From the viewpoint of unit quantity. Unpublished thesis of the graduate institute of elementary education, National Chia Yi University. 35.Huang, W. J.(2001).A case study of referents’ activity to improve the decimal concept of six grade students in the elementary school. Unpublished thesis of the graduate institute of elementary education, National ChiaYi University. 36.Wu, M. R.(2000).The case study of using calculators activity to enhance students number concept. Unpublished thesis of the graduate institute of elementary education, National Chia Yi University. 37.Chen, S. J.(1999).The study of a mathematics class discussion in an elementary school by collaborative action research. Unpublished thesis of the graduate institute of elementary education, National ChiaYi University. 38.Yang, G. L.(1999).The study of solving proportion problems from fifth and sixth graders. Unpublished thesis of the graduate institute of elementary education, National ChiaYi University. 39.Juang, S. C.(1998).Elementary school teachers’ beliefs of mathematics. Unpublished thesis of the graduate institute of elementary education, National ChiaYi University. 40.Wei, T. M.(1997).The study of implementing writing activities on math classrooms. Unpublished thesis of the graduate institute of elementary education, National ChiaYi University.
H. Courses 1. The study of math concept development. 2. The data analysis of qualitative research. 3. The constructivism and math learning. 4. The teaching materials and methods of secondary mathematics. 5. The teaching practice of secondary mathematics.


