2016
DOI: 10.1007/s10648-016-9379-x
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Towards a Theory of When and How Problem Solving Followed by Instruction Supports Learning

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Cited by 185 publications
(362 citation statements)
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References 55 publications
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“…The idea is that the whole task covers the subject matter and learning goals of the lesson(s). The premise behind starting the lesson by introducing the whole task is that students are more motivated, relevant prior knowledge is activated in an integrated way, and learning goals and subject matter become more meaningful (Lazonder & Harmsen, 2016;Loibl, Roll, & Rummel, 2016;Merrill, 2012). In convergent differentiated levels of support, students receive support according to their needs as students in a class do not need the same levels of support.…”
Section: Forms Of Differentiated Instructionmentioning
confidence: 99%
“…The idea is that the whole task covers the subject matter and learning goals of the lesson(s). The premise behind starting the lesson by introducing the whole task is that students are more motivated, relevant prior knowledge is activated in an integrated way, and learning goals and subject matter become more meaningful (Lazonder & Harmsen, 2016;Loibl, Roll, & Rummel, 2016;Merrill, 2012). In convergent differentiated levels of support, students receive support according to their needs as students in a class do not need the same levels of support.…”
Section: Forms Of Differentiated Instructionmentioning
confidence: 99%
“…A key component of the Invention instructional method is that the Invention activity precedes direct instruction. While students often produce incorrect inventions, the process of generating and evaluating candidate equations helps them begin to notice deep features of the problem, uncover gaps in their understanding, and develop well-differentiated prior knowledge of the domain (Loibl, Roll, & Rummel, 2017)-all of which prepares them to learn the canonical principles from traditional expositions (Kapur, 2008;Schwartz & Bransford, 1998). The teacher-student dialogs we explore in this study occur only during the Invention phase of this method, not during the lecture phase.…”
Section: Invention Activitiesmentioning
confidence: 99%
“…Afterwards, during the instruction, the erroneous solutions are compared to each other and their respective difficulties are discussed. It is assumed that the failure experience during the initial problem-solving phase prepares students for learning from the following instruction by prior-knowledge activation, knowledge-gap awareness, and deep-features recognition (Loibl, Roll, & Rummel, 2017). In contrast, failure in DI can only occur if students struggle to apply the solution method they were instructed on.…”
Section: Introductionmentioning
confidence: 99%