The development of students’ use of additive and proportional methods along primary and secondary school
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Lieven Verschaffel | Dirk De Bock | Wim Van Dooren | Ceneida Fernández | Salvador Llinares | L. Verschaffel | W. Dooren | D. Bock | C. Fernández | S. Llinares
[1] Lieven Verschaffel,et al. Whole number concepts and operations , 2007 .
[2] Thomas R. Post,et al. Learning and teaching ratio and proportion: Research implications: Middle grades mathematics , 1993 .
[3] Robert Karplus,et al. Early adolescents' proportional reasoning on ‘rate’ problems , 1983 .
[4] P. Bryant,et al. Proportional Reasoning in Young Children: Part-Part Comparisons about Continuous and Discontinuous Quantity , 1999 .
[5] K. Hart,et al. Children's understanding of mathematics: 11-16 , 1981 .
[6] Thomas R. Post,et al. Learning and teaching ratio and proportion: Research implications , 1993 .
[7] Ceneida Fernández-Verdú,et al. Implicative analysis of strategies in solving proportional and nonproportional problems , 2008 .
[8] P. Gerdes,et al. Ethnomathematics and Mathematics Education , 1996 .
[9] Douglas T. Owens. Research Ideas for the Classroom: Middle Grades Mathematics. , 1993 .
[10] L. Verschaffel,et al. Not Everything Is Proportional: Effects of Age and Problem Type on Propensities for Overgeneralization , 2005 .
[11] Bonnie P. Schappelle,et al. Providing a foundation for teaching mathematics in the middle grades , 1995 .
[12] Merlyn J. Behr,et al. Number concepts and operations in the middle grades , 1988 .
[13] José Carrillo Yáñez,et al. Investigación en educación matemática XIV , 2010 .
[14] Gaea Leinhardt,et al. Analysis of Arithmetic for Mathematics Teaching , 1992 .
[15] Athanasios Gagatsis,et al. Students' Improper Proportional Reasoning: A result of the epistemological obstacle of “linearity” , 2007 .
[16] L. Verschaffel,et al. Conceptualizing, investigating, and enhancing adaptive expertise in elementary mathematics education , 2009 .
[17] Jere Confrey,et al. The Development of multiplicative reasoning in the learning of mathematics , 1995 .
[18] Lieven Verschaffel,et al. The Linear Imperative: An Inventory and Conceptual Analysis of Students' Overuse of Linearity , 2008 .
[19] Douglas A. Grouws,et al. Handbook of research on mathematics teaching and learning , 1992 .
[20] Lieven Verschaffel,et al. The Illusion of Linearity: From Analysis to Improvement , 2007 .
[21] Lieven Verschaffel,et al. Children's Criteria for Representational Adequacy in the Perception of Simple Sonic Stimuli , 2010 .
[22] Lieven Verschaffel,et al. Students' overuse of proportionality on missing-value problems: how numbers may change solutions , 2009 .
[23] E. Corte,et al. Making sense of word problems , 2000 .
[24] L. Verschaffel,et al. Students’ Overuse of Linearity: An Exploration in Physics , 2011 .
[25] Lieven Verschaffel,et al. From Addition to Multiplication … and Back: The Development of Students’ Additive and Multiplicative Reasoning Skills , 2009 .
[26] Steven Pulos,et al. Proportional reasoning: A review of the literature , 1985 .
[27] Lieven Verschaffel,et al. Using graphical notations to assess children’s experiencing of simple and complex musical fragments , 2010 .
[28] Lieven Verschaffel,et al. Just Answering … or Thinking? Contrasting Pupils' Solutions and Classifications of Missing-Value Word Problems , 2010 .
[29] Salvador Llinares,et al. Secondary School Students’ Construction and Use of Mathematical Models in Solving Word Problems , 2008 .
[30] L. Verschaffel,et al. Abstract or concrete examples in learning mathematics? A replication and elaboration of Kaminski, Sloutsky, and Heckler’s study , 2011 .
[31] Barbara J. Dougherty,et al. Mathematics Education Across Cultures: Proceedings of the 42nd Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education , 2020 .
[32] Susan C. Levine,et al. The Development of Proportional Reasoning: Effect of Continuous Versus Discrete Quantities , 2007 .
[33] Kathleen Hart,et al. Children's Understanding of Mathematics , 1989 .
[34] Ty W. Boyer,et al. Development of proportional reasoning: where young children go wrong. , 2008, Developmental psychology.
[35] L. Verschaffel,et al. Effect of number structure and nature of quantities on secondary school students proportional reasoning , 2010 .
[36] J. Williams,et al. Diagnostic assessment of children’s proportional reasoning , 2003 .