The Illusion of Linearity: Expanding the evidence towards probabilistic reasoning

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Students' overuse of proportionality on missing-value problems: how numbers may change solutions (2009, methodology): “Recently, we have shown, for example, that asking students to classify proportional and nonproportional problems has a beneficial impact on later problem solving (Van Dooren et al., in press ). Second, it is advisable to carefully scrutinize and redesign the exercises that are offered to students to”
The effect of activity-based instruction on conceptual development of seventh grade students in probability (2010, unknown): “[23] made a research to determine and compare misconceptions of tenth and twelfth graders.”
The Linear Imperative: An Inventory and Conceptual Analysis of Students' Overuse of Linearity (2008, background): “The consequences of such practices can, for example, be seen in the study by Van Dooren et al. (2005), who found a considerable increase in the number of proportional answers to nonproportional arithmetic problems from third grade to fifth grade-the period in which extensive attention goes to the ac”
Remedying secondary school students' illusion of linearity: A teaching experiment (2004, background): “A final important principle mentioned by Vosniadou et al. (2001), is the need for providing appropriate mathematical models and related external representations.”