Algebra word problem solving approaches in a chemistry context: Equation worked examples versus text editing

The Journal of Mathematical Behavior - Tập 32 - Trang 197-208 - 2013
Bing Hiong Ngu1, Alexander Seeshing Yeung2
1University of New England, Australia
2University of Western Sydney, Australia

Tài liệu tham khảo

Atkinson, 2003, Aiding transfer in statistics: Examining the use of conceptually oriented equations and elaborations during subgoal learning, Journal of Educational Psychology, 95, 762, 10.1037/0022-0663.95.4.762 Atkinson, 2000, Learning from examples: Instructional principals from the worked examples research, Review of Educational Research, 70, 181, 10.3102/00346543070002181 Bassok, 1989, Interdomain transfer between isomorphic topics in algebra and physics, Journal of Experimental Psychology: Learning, Memory, and Cognition, 15, 153, 10.1037/0278-7393.15.1.153 Bassok, 1990, Transfer of domain specific problem-solving procedures, Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 522, 10.1037/0278-7393.16.3.522 Birney, 2005, Assessing schematic knowledge of introductory probability theory, Instructional Science, 33, 341, 10.1007/s11251-005-3198-7 Blessing, 1996, How people learn to skip steps, Journal of Experimental Psychology: Learning, Memory, and Cognition, 22, 576, 10.1037/0278-7393.22.3.576 Chi, 1989, Self-explanations: How students study and use examples in problem solving, Cognitive Science, 13, 145, 10.1207/s15516709cog1302_1 Cummins, 1992, Role of analogical reasoning in the induction of problem categories, Journal of Experimental Psychology: Learning, Memory, and Cognition, 18, 1103, 10.1037/0278-7393.18.5.1103 Hegarty, 1995, Comprehension of arithmetic word problems: A comparison of successful and unsuccessful problem solvers, Journal of Educational Psychology, 87, 18, 10.1037/0022-0663.87.1.18 Jitendra, 2007, A comparison of single and multiple strategy instruction on third-grade students’ mathematical problem solving, Journal of Educational Psychology, 99, 115, 10.1037/0022-0663.99.1.115 Kieran, 1992, The learning and teaching of school algebra, 390 Koedinger, 1990, Abstract planning and perceptual chunks: Elements of expertise in geometry, Cognitive Science, 14, 511, 10.1207/s15516709cog1404_2 Lee, 1998, Improving learning from examples through reflection, Journal of Experimental Psychology: Applied, 4, 187, 10.1037/1076-898X.4.3.187 Low, 1989, Detection of missing and irrelevant information within algebraic story problems, British Journal of Educational Psychology, 59, 296, 10.1111/j.2044-8279.1989.tb03104.x Low, 1990, Text editing of algebraic word problems, Australian Journal of Psychology, 42, 63, 10.1080/00049539008260106 Low, 1994, Solution of algebraic word problems following training in identifying necessary and sufficient information within problems, American Journal of Psychology, 107, 423, 10.2307/1422882 Mayer, 1981, Frequency norms and structural analysis of algebra story problems into families, categories and templates, Instructional Science, 10, 135, 10.1007/BF00132515 Mayer, 1985, Mathematical ability, 127 Mayer, 1999, Vol. 1 Mayer, 1992, Mathematical misunderstandings: Qualitative reasoning about quantitative problems, 137 Nathan, 1992, A theory of Algebra-word-problem comprehension and its implications for the design of learning environments, Cognition and Instruction, 9, 329, 10.1207/s1532690xci0904_2 Ngu, 2002, Text editing in chemistry instructin, Instructional Science, 30, 379, 10.1023/A:1019833014623 Ngu, 2009, Chemistry problem solving instruction: A comparison of three computer-based formats for learning from hierarchical network problem representations, Instructional Science, 37, 21, 10.1007/s11251-008-9072-7 Ngu, 2012, Fostering analogical transfer: The multiple components approach to algebra word problem solving in a chemistry context, Contemporary Educational Psychology, 37, 14, 10.1016/j.cedpsych.2011.09.001 Pawley, 2005, Translating words into equations: A cognitive load theory approach, Educational Psychology, 25, 75, 10.1080/0144341042000294903 Quilici, 1996, Role of examples in how students learn to categorize statistics word problems, Journal of Educational Psychology, 88, 144, 10.1037/0022-0663.88.1.144 Quilici, 2002, Teaching students to recognize structural similarities between statistics word problems, Applied Cognitive Psychology, 16, 325, 10.1002/acp.796 Retnowati, 2010, Worked examples effects in individual and group work settings, Educational Psychology, 30, 349, 10.1080/01443411003659960 Rittle-Johnson, 2007, Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations, Journal of Educational Psychology, 99, 561, 10.1037/0022-0663.99.3.561 Rittle-Johnson, 2009, Compared with what? The effects of different comparisons on conceptual knowledge and procedural flexibility for equation solving, Journal of Educational Psychology, 101, 529, 10.1037/a0014224 Rittle-Johnson, 2009, The importance of prior knowledge when comparing examples: Influences on conceptual and procedural knowledge of equation solving, Journal of Educational Psychology, 101, 836, 10.1037/a0016026 Reed, 1987, A structure-mapping model for word problems, Journal of Experimental Psychology: Learning, Memory, and Cognition, 13, 124, 10.1037/0278-7393.13.1.124 Reed, 1989, Constraints on the abstraction of solutions, Journal of Educational Psychology, 81, 532, 10.1037/0022-0663.81.4.532 Reed, 1991, Use of worked examples and procedures in problem solving, Journal of Experimental Psychology: Learning, Memory, and Cognition, 17, 753, 10.1037/0278-7393.17.4.753 Reed, 1985, Usefulness of analogous solutions for solving algebra word problems, Journal of Experimental Psychology: Learning, Memory, and Cognition, 11, 106, 10.1037/0278-7393.11.1.106 Renkl, 1999, Learning mathematics from worked-out examples: Analyzing and fostering self-explanations, European Journal of Psychology of Education, 4, 477, 10.1007/BF03172974 Renkl, 1998, Learning from worked-out examples: The effects of example variability and elicited self-explanations, Contemporary Educational Psychology, 23, 90, 10.1006/ceps.1997.0959 Shute, 2008, Focus on formative feedback, Review of Educational Research, 78, 153, 10.3102/0034654307313795 Thickett, 2000 Tregarthen, 2003 Weaver, 1992, Enhancing students’ comprehension of the conceptual structure of algebra word problems, Journal of Educational Psychology, 84, 419, 10.1037/0022-0663.84.4.419