STUDENTS’ COGNITIVE PROCESSES IN SOLVING PROBLEM RELATED TO THE CONCEPT OF AREA CONSERVATION
Abstract
Keywords
Full Text:
PDFReferences
Battista, M. T. (2007). The development of geometric and spatial thinking. In F. K. Lester Jr. (Ed.), Second handbook of research on mathematics teaching and learning (pp. 843–908). Charlotte, NC: Information Age Publishing Inc.
Bischoff, P. J., & Anderson, O. R. (1998). A case study analysis of the development of knowledge schema, ideational network, and higher cognitive operations among high school students who studied ecology. School Science and Mathematics, 98(5), 228-237.
Cramer, K., Post, T., & Currier, S. (1993). Learning and Teaching Ratio and Proportion: Research Implications. In D. Owens (Ed.), Research Ideas For the Classroom (pp. 159-178). NY: Macmillan Publishing Company
Freudenthal, H. (1986). Didactical phenomenology of mathematical structures (Vol. 1). Springer Science & Business Media. John P. Smith III, Marja van den Heuvel-Panhuizen, Anne R. Teppo. (2011). Learning, teaching, and using measurement: introduction to the issue. ZDM Mathematics Education (2011) 43:617–620 DOI 10.1007/s11858-011-0369-7 FIZ Karlsruhe
Hiebert, J. (1981). Units of measure: Results and implications from national assessment. The Arithmetic Teacher, 28(6), 38-43.
Jones, V. O. (2006). Cognitive processes during problem solving of middle school students with different levels of mathematics anxiety and self-esteem: case studies. A Published dissertation of Florida State University
Kordaki, M., & Balomenou, A. (2006). Challenging students to view the concept of area in triangles in a broad context: Exploiting the features of Cabri-II. International Journal of Computers for Mathematical Learning, 11(1), 99-135.
Kospentaris, G., Spyrou, P., & Lappas, D. (2011). Exploring students’ strategies in area conservation geometrical tasks. Educational Studies in Mathematics, 77(1), 105-127.
Kordaki, M., & Potari, D. (2002). The effect of tools of area measurement on students strategies: The case of a computer micro world. International Journal of Computers for Mathematical Learning, 7(1), 65-100.
Mason, J., Burton, L., & Stacey, K. (1985). Thinking mathematically (Rev. Ed.). Wokingham, UK: Addison-Wesley
Mason, J. (2015). On being stuck on a mathematical problem: What does it mean to have something come-to-mind?. LUMAT (2013-2015 Issues), 3(1), 101-121.
Miles & Huberman. (1994). Qualitative Data Analysis: An Exposed Sourcebook 2nd. London: SAGE Publication Ltd.
Montague, M. (2002). Mathematical problem solving instruction: Components, procedures, and materials. In M. Montague, & C. Warger (Eds.), Afterschool extensions: Including students with disabilities in afterschool programs. Reston, Va.: Exceptional Innovations.
Montague, M., Krawec, J., Enders, C., & Dietz, S. (2014). The effects of cognitive strategy instruction on math problem solving of middle-school students of varying ability. Journal of Educational Psychology, 106(2), 469.
Montague, M., Warger, C., & Morgan, T. H. (2000). Solve it! Strategy instruction to improve mathematical problem solving. Learning Disabilities Research & Practice, 15(2), 110-116.
Papadopoulous, I. (2010). Irregular Plane Figures: From the Eighteenth Century to the Modern Classroom. International Journal of Science and Mathematics Education, 8, 869-890.
Sisman, G. T., & Aksu, M. (2016). A study on sixth grade students’ misconceptions and errors in spatial measurement: length, area, and volume. International Journal of Science and Mathematics Education, 14(7), 1293-1319.
Stillman, G. (1996). Mathematical Prospective and Cognitive Demand in Problem Solving. Mathematics Education Research Journal, 8(2), 174-197.
Stylianou, D. A., Kenney, P. A., Silver, E.A., & Alacaci, C. (2000). Gaining Insight into Students’ Thinking through Assessment Tasks. Mathematics Teaching in the Middle School, 6(2), 136-144
Tsai, C.-C. (1998). An analysis of Taiwanese eighth graders’ science achievement, scientific epistemological beliefs and cognitive structure outcomes after learning basic atomic theory. International Journal of Science Education, 20, 413-425
Tsai, C.-C. (1999). Content analysis of Taiwanese 14 year olds’ information processing operations shown in cognitive structures following physics instruction, with relations to science attainment and scientific epistemological beliefs. Research in Science & Technological Education, 17, 125– 138
Tsai, C.-C., & Huang, C.-M. (2001). Development of cognitive structures and information processing strategies of elementary school students learning about biological reproduction. Journal of Biological Education, 36, 21-26.
Tumová, V., & Vondrová, N. (2017). Links between Success in Non-Measurement and Calculation Tasks in Area and Volume Measurement and Pupils' Problems. Scientia in Education, 8(2), 100-129.
Yeo, J. B., & Yeap, B. H. (2010). Characterizing the cognitive processes in mathematical investigation. Accessed from http://www.cimt.plymouth.ac.uk/%20journal/jbwyeo.pdf, 10 October 2018.
DOI: https://doi.org/10.22342/jme.10.1.6339.21-36
Refbacks
- There are currently no refbacks.
Kampus FKIP Bukit Besar
Jl. Srijaya Negara, Bukit Besar
Palembang - 30139
p-ISSN: 2087-8885 | e-ISSN: 2407-0610
Journal on Mathematics Education (JME) is licensed under a Creative Commons Attribution 4.0 International License.
View My Stats